?
-2, 0
Let o be ((-5)/5 - -3) + 2. Let s(f) be the first derivative of 3/4*f**2 + f**3 + 0*f + 1 + 3/8*f**o. Factor s(c).
3*c*(c + 1)**2/2
Let f(z) be the first derivative of 2*z**3/15 + 9*z**2/20 + z/5 + 17. Let f(h) = 0. Calculate h.
-2, -1/4
Let y(r) be the first derivative of -r**5/60 - r**4/18 - r**3/18 - 3*r - 1. Let o(w) be the first derivative of y(w). Let o(a) = 0. Calculate a.
-1, 0
Suppose 8/5*n - 2/5*n**2 + 8/5 - 2/5*n**3 = 0. Calculate n.
-2, -1, 2
Let u(h) be the first derivative of -h**4/14 - 4*h**3/21 + 8*h**2/7 + 27. Find t, given that u(t) = 0.
-4, 0, 2
Let i(l) be the second derivative of 0 - 1/3*l**3 + 2*l + 1/10*l**5 - 1/6*l**4 + l**2. Suppose i(u) = 0. Calculate u.
-1, 1
Let u = 11 + -8. Let o(y) be the second derivative of 1/10*y**5 - 1/6*y**4 + 0 + 1/42*y**7 + u*y - 1/2*y**2 + 1/10*y**6 - 1/2*y**3. Find v, given that o(v) = 0.
-1, 1
Factor -16 - f**2 + 13 - 2*f**2 - 6*f.
-3*(f + 1)**2
Let h(u) be the second derivative of -u**4/48 + 5*u**3/8 - 19*u + 2. Factor h(k).
-k*(k - 15)/4
Let q = 46702772/61131585 + -4/550735. Let x = 4/111 + q. Suppose 2/5 - 2/5*t**5 - x*t**2 + 4/5*t**3 - 2/5*t + 2/5*t**4 = 0. Calculate t.
-1, 1
Let b be (-6 - -7) + (4 - 1). Suppose 7 = -b*y + 15. Factor 2/3*r**y + 2/3*r - 2/3 - 2/3*r**3.
-2*(r - 1)**2*(r + 1)/3
Find n such that 1/8 - 1/4*n + 1/8*n**2 = 0.
1
Let q(i) be the first derivative of -2*i**3/27 - 2*i**2/9 - 12. What is c in q(c) = 0?
-2, 0
Let p = 11281/60 - 188. Let k(z) be the third derivative of -1/36*z**4 + p*z**5 + 2*z**2 + 0 + 0*z**3 + 0*z + 1/72*z**6. Suppose k(b) = 0. What is b?
-1, 0, 2/5
Factor 5/7*w**2 + 4/7*w + 1/7*w**3 + 0.
w*(w + 1)*(w + 4)/7
Let w(n) be the first derivative of n**4/14 - 2*n**3/7 + 3*n**2/7 - 2*n/7 - 39. What is p in w(p) = 0?
1
Let u(x) be the third derivative of -x**5/15 + x**4/3 + 2*x**3 + 7*x**2. What is o in u(o) = 0?
-1, 3
Let f(m) = -4*m**5 - 2*m**4 + 6*m**3 - 2*m - 2. Let c(h) = -9*h**5 - 5*h**4 + 13*h**3 - 4*h - 5. Let y(z) = -2*c(z) + 5*f(z). Find r, given that y(r) = 0.
-1, 0, 1
Let p(u) be the third derivative of -u**5/30 - u**4/4 + u**2. Suppose p(k) = 0. What is k?
-3, 0
Find z, given that -6*z**3 + 1/2 + 2*z**4 + 13/2*z**2 - 3*z = 0.
1/2, 1
Let p(f) = f**3 - 55*f**2 - 4*f + 223. Let x be p(55). Suppose 0*z + 12/5*z**x - 12/5*z**2 - 3/5*z**4 + 0 = 0. What is z?
0, 2
Let r = -8 - -13. Suppose 0 = -r*t + 51 + 84. Factor 3 - 13*u + t*u**2 + 3*u - 8*u.
3*(3*u - 1)**2
Let l(g) be the first derivative of -g**6/20 + g**4/4 - 3*g**2/4 - 4*g - 5. Let j(y) be the first derivative of l(y). Suppose j(w) = 0. Calculate w.
-1, 1
Find t such that 13*t**3 - 8*t**4 - 3*t**5 - 30*t**2 - 9*t - 49*t**3 - 10*t**4 = 0.
-3, -1, 0
Let x(n) be the first derivative of -2*n**5/65 - 3*n**4/26 - 2*n**3/13 - n**2/13 - 37. Suppose x(h) = 0. Calculate h.
-1, 0
Let n(y) be the third derivative of -y**6/420 - y**5/210 - 9*y**2. Factor n(z).
-2*z**2*(z + 1)/7
Let s be 55/(-44) - 2/(-8). Let r be 3/s*(-7)/84. Solve 1/4*d**3 - 1/4 - r*d + 1/4*d**2 = 0 for d.
-1, 1
Solve -33 + k**2 - 75 - 36*k - 4*k**2 = 0 for k.
-6
Let z(l) = 4*l**3 - 4*l - 2. Let u = 3 + 1. Let w(v) = u + 5*v - 7*v**2 - 5*v**3 + 7*v**2 - 1. Let t(b) = 2*w(b) + 3*z(b). Solve t(h) = 0 for h.
-1, 0, 1
Find i, given that -2*i - 4*i**3 + 6*i - 3 + 8*i**2 - 6 + 1 = 0.
-1, 1, 2
Let v(s) be the second derivative of -s**6/20 + 3*s**5/20 + s**4/8 - s**3/2 + 6*s. Factor v(q).
-3*q*(q - 2)*(q - 1)*(q + 1)/2
Suppose 0 = -7*j + 4*j. Find d, given that j*d**4 + 8*d**3 - 5*d**5 - 6*d**3 + 3*d**4 = 0.
-2/5, 0, 1
Let c(f) be the third derivative of -f**8/840 + f**7/175 - f**6/150 - f**5/75 + f**4/20 - f**3/15 - f**2. Find w, given that c(w) = 0.
-1, 1
Let p(r) be the third derivative of 2*r**7/105 + r**6/15 + r**5/15 + 4*r**2. Find a such that p(a) = 0.
-1, 0
Let d be (-6)/5*4*10/(-60). Suppose d - 2/5*c - 2/5*c**2 = 0. Calculate c.
-2, 1
Suppose 4/3*x**2 + 0*x + 1/3*x**4 - 5/3*x**3 + 0 = 0. Calculate x.
0, 1, 4
Suppose -33*q + 114 = -18. Suppose -5*a - 5*x - 5 = 0, 5 = -4*a - 7*x + 2*x. Solve a*h**q + 8/9*h**3 - 4/9 + 4/9*h**2 - 2/3*h - 2/9*h**5 = 0 for h.
-1, 1, 2
Let v be (15/(-6))/(5 + -15). Factor -1/4*x**2 - v - 1/2*x.
-(x + 1)**2/4
Let a(o) be the third derivative of -o**9/7560 + o**8/3360 + o**7/1260 - o**6/360 - 5*o**4/24 + o**2. Let v(m) be the second derivative of a(m). Factor v(j).
-2*j*(j - 1)**2*(j + 1)
Factor -1 - 1/2*z + 1/2*z**2.
(z - 2)*(z + 1)/2
Suppose 55*c - 50*c - 10 = 0. Let i = -2/7 + 17/35. Factor i*v - 1/5*v**4 - 1/5 - 2/5*v**3 + 2/5*v**c + 1/5*v**5.
(v - 1)**3*(v + 1)**2/5
Let 0 - 2/5*r**2 + 2/5*r = 0. Calculate r.
0, 1
Factor 12/11 - 10/11*q - 2/11*q**2.
-2*(q - 1)*(q + 6)/11
Factor i**2 - 2 - 2*i**2 + 0 + 4*i - i**2.
-2*(i - 1)**2
Let d(o) be the second derivative of -4*o**7/21 + 14*o**6/15 - 9*o**5/5 + 5*o**4/3 - 2*o**3/3 + 18*o. Let d(l) = 0. What is l?
0, 1/2, 1
Let z(g) = -2*g**2 + 18*g - 27. Let n(f) = -f**2. Let h(p) = -n(p) - z(p). Factor h(o).
3*(o - 3)**2
Suppose -m = -4, -3*t + 1 = -8*t - m. Let v(f) = -f**2 - f - 1. Let b(q) = -2*q**2 - 4*q - 3. Let o(l) = t*b(l) + v(l). Let o(z) = 0. Calculate z.
-2, -1
Let s(a) be the second derivative of 1/10*a**5 - 1/6*a**4 + 0 + a**2 - 1/3*a**3 - a. Find m, given that s(m) = 0.
-1, 1
Suppose 3 = 2*a - 3. Suppose -2*x - a*x = -10. Let 11 + x*l**2 - 10 - l**3 + l - 3*l**2 = 0. Calculate l.
-1, 1
Let p(y) be the second derivative of -y**6/135 - y**5/30 - y**4/18 - y**3/27 - 5*y. Factor p(g).
-2*g*(g + 1)**3/9
Suppose -4 + 55 = 3*d - 5*c, 4*c = -4*d + 68. Let v = -17 + d. Factor 0*i**2 + v*i + 4/11*i**3 + 0 - 14/11*i**5 - 10/11*i**4.
-2*i**3*(i + 1)*(7*i - 2)/11
Let m(n) = n**2 + 3*n - 2. Let v be m(-4). Factor -r - 3*r**v - 3*r**2 - 2*r.
-3*r*(2*r + 1)
Let h(c) be the first derivative of 2*c**6/3 + 16*c**5/5 + 6*c**4 + 16*c**3/3 + 2*c**2 - 10. Find p such that h(p) = 0.
-1, 0
Let j = 12 - 10. Suppose -3*v = -j*v. Determine w, given that 1/4*w + 1/2*w**2 - 1/2*w**4 + v - 1/4*w**5 + 0*w**3 = 0.
-1, 0, 1
Let x(r) = r**4 - 4*r**3 + 3*r**2 - 3. Let h(g) = -4*g**4 + 12*g**3 - 10*g**2 + 10. Let p(v) = -3*h(v) - 10*x(v). Factor p(s).
2*s**3*(s + 2)
Solve -6*k + 6*k - k**2 + 6 + k = 0.
-2, 3
Let h(d) be the third derivative of -d**6/540 - d**5/54 + 2*d**4/27 + 4*d**3/9 + 55*d**2. Solve h(q) = 0.
-6, -1, 2
Let q(n) be the third derivative of -n**8/2800 + n**7/700 - n**5/100 + n**4/40 + n**3/3 - 2*n**2. Let i(k) be the first derivative of q(k). Factor i(f).
-3*(f - 1)**3*(f + 1)/5
Let y be 728/585 + 6/(-45). Factor y*t**2 + 4/3 - 34/9*t.
2*(t - 3)*(5*t - 2)/9
Let c = -3/25 + 33/25. Let q = 3 - 0. Factor -c*n - 2/5 - 6/5*n**2 - 2/5*n**q.
-2*(n + 1)**3/5
Let u(j) = -5*j**4 + 6*j**2 - 2*j - 3. Let z(t) = -21*t**4 + 24*t**2 - 9*t - 12. Let w(f) = 9*u(f) - 2*z(f). Factor w(i).
-3*(i - 1)**2*(i + 1)**2
Factor -4/3*u**3 - 4/3*u + 8/3*u**2 + 0.
-4*u*(u - 1)**2/3
Let v be (-14)/(-147) - (-34)/84. Factor -3/4*q + 1/4*q**2 + v.
(q - 2)*(q - 1)/4
Find v such that -1/2*v**2 - 5*v**3 + 0 - 25/2*v**4 + 0*v = 0.
-1/5, 0
Suppose -5*w + 3 = -7. Suppose w*v - 15 = -3*v. Solve -j**3 - j**3 + v*j**3 = 0.
0
Suppose 0 = -3*v - 4*d + 32, -v - 2*d = -4*v + 2. Suppose 0 = 5*w - 4*h + 1, h + 4*h - 8 = v*w. Factor -2*i**4 - 2*i**3 - 3*i**3 + w*i**3.
-2*i**3*(i + 1)
Find i such that 3/4*i + 0 - 1/4*i**2 = 0.
0, 3
Let p(t) = 300*t**5 + 60*t**4 - 183*t**3 + 48*t**2 + 9*t. Let o(g) = -75*g**5 - 15*g**4 + 46*g**3 - 12*g**2 - 2*g. Let z(k) = 9*o(k) + 2*p(k). Factor z(u).
-3*u**2*(u + 1)*(5*u - 2)**2
Let g be ((4 - 51/12)*0)/3. Find a, given that 0 + 2/3*a**3 - 2/3*a + g*a**2 = 0.
-1, 0, 1
Let a(t) be the second derivative of 0*t**2 - 1/30*t**5 + 3*t + 0 + 1/18*t**4 - 1/45*t**6 + 1/9*t**3. Determine j so that a(j) = 0.
-1, 0, 1
Suppose 0 = -3*g + 5*w + 78, -3*w = 5*g - 154 + 24. Let q = 53/2 - g. Factor -1/2*c**2 + c - q.
-(c - 1)**2/2
Factor 27*s**2 - s**5 - 16*s**3 + 2*s**4 + 7*s**4 - 11*s**3.
-s**2*(s - 3)**3
Let g(m) be the second derivative of m**9/1512 - m**8/420 + m**6/90 - m**5/60 - 2*m**3/3 + 2*m. Let n(j) be the second derivative of g(j). Factor n(o).
2*o*(o - 1)**3*(o + 1)
Suppose -5*j + 4 + 7 = 4*i, -5 = -3*j - 4*i. Suppose y + 3 = 3*o - 8, 3*o - j = -3*y. Let -5*v**2 + 2 + o*v**2 + 0 = 0. What is v?
-1, 1
Let a = 337/2 + -166. Determine j so that 3/2*j - a*j**2 + 1 = 0.
-2/5, 1
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