o(t) be the second derivative of q(t). Suppose o(d) = 0. Calculate d.
-1, 1
Let n(h) be the first derivative of h**4/8 - h**3/3 - 6. Suppose n(u) = 0. Calculate u.
0, 2
Let b(g) be the third derivative of g**7/3780 + g**6/360 + g**5/90 - g**4/6 + 4*g**2. Let s(n) be the second derivative of b(n). Find y such that s(y) = 0.
-2, -1
Let d(b) = 21*b**4 + 3*b + 2*b**2 - 6 + 57*b**3 + 6*b**2 + 37*b**2. Let y(x) = 7*x**4 + 19*x**3 + 15*x**2 + x - 2. Let v(a) = -2*d(a) + 7*y(a). Factor v(z).
(z + 1)**3*(7*z - 2)
Let i(q) = 3 - q**3 + 0*q**2 + 4*q**2 - 5*q**2. Let j be i(0). Suppose 0 + 0*m + 0*m**2 - 8/5*m**4 + 8/5*m**j + 2/5*m**5 = 0. Calculate m.
0, 2
Let l be (-40)/(-18) + 12/(-54). Let v(m) be the first derivative of 2 - 1/3*m**4 - 2/3*m**3 - 2/3*m**l - 1/15*m**5 - 1/3*m. Factor v(w).
-(w + 1)**4/3
Let u(r) be the first derivative of r**3/3 - r**2/9 - 28. Factor u(n).
n*(9*n - 2)/9
Let m be (6 - 9/3)/((-42)/(-16)). Solve 8/7*l**2 - 2/7*l + 0 + 2/7*l**3 - m*l**4 = 0.
-1, 0, 1/4, 1
Let a(o) = o**2 - o + 1. Let r(f) = 15*f. Let b be r(1). Let w(z) = -21*z + 24. Let q(h) = b*a(h) - w(h). Factor q(d).
3*(d + 1)*(5*d - 3)
Suppose i = -2*u + 2, -i - 4*u = -6*u - 2. Factor 1/3 + 1/3*h**i + 2/3*h.
(h + 1)**2/3
Let l(a) be the first derivative of 7*a**4/4 - 5*a**3/3 - a**2 - 1. Solve l(g) = 0.
-2/7, 0, 1
Let d = 32 + -92/3. Suppose -m = 3*o - 14, -2*o + 2 = -5*m + o. Factor -2/3*u**2 - m*u - d.
-2*(u + 1)*(u + 2)/3
Suppose 0*v - 8 = -4*v. Factor -2*n**4 + 12*n**v + 2*n**3 - 12*n**2.
-2*n**3*(n - 1)
Let t(q) be the third derivative of q**5/75 + q**4/5 + 6*q**3/5 - 4*q**2. Solve t(w) = 0 for w.
-3
Let t(x) = -14*x**2 - 15*x - 3. Let r(z) = 7*z**2 + 8*z + 1. Let d(j) = 5*r(j) + 3*t(j). Let q(k) = 6*k**2 + 4*k + 3. Let c(p) = -5*d(p) - 6*q(p). Factor c(u).
-(u - 2)*(u + 1)
Suppose -2*h = 3*c - 4, -4 = -3*h + 2. Let d = -167/2 + 84. Factor c*b + 0 + d*b**2.
b**2/2
Let l(d) = 7*d**5 - 15*d**4 + 30*d**3 - 26*d**2 + 15*d - 7. Let b(w) = 6*w**5 - 15*w**4 + 30*w**3 - 27*w**2 + 15*w - 6. Let n(t) = 4*b(t) - 3*l(t). Factor n(z).
3*(z - 1)**5
Determine r, given that 3*r**3 - 12*r**2 - 29 + 12*r + 29 = 0.
0, 2
Let y be 1/(-12)*(-54)/27. Factor -y*w + 0*w**2 + 0 + 1/6*w**3.
w*(w - 1)*(w + 1)/6
Let u(s) = s + 11. Let g be u(-5). Suppose 3*j - g*j + 6 = 0. Find l, given that 0 - 1 + 0*l**j + l**2 = 0.
-1, 1
Solve -2/19 - 16/19*f**3 + 8/19*f + 8/19*f**5 - 2/19*f**4 + 4/19*f**2 = 0 for f.
-1, 1/4, 1
Let i = -265/201 + -1/67. Let r = 11/6 + i. Let 0*d - r*d**2 + 0 - 5/4*d**3 - 1/4*d**5 - d**4 = 0. What is d?
-2, -1, 0
Let j(h) be the first derivative of -h**6/3 - 4*h**5/5 + h**4/2 + 4*h**3/3 + 5. Solve j(k) = 0 for k.
-2, -1, 0, 1
Let 7 - 4*y**3 + 5*y - y**3 + 3*y**2 - 17 + 7*y**2 = 0. Calculate y.
-1, 1, 2
Let u = 1 - -3. What is o in 2*o + u*o**2 - 2*o**2 + 0*o**2 = 0?
-1, 0
Suppose 6*p + 62 - 80 = 0. Factor 0*v**p + 0*v + 0 + 2/11*v**4 - 2/11*v**2.
2*v**2*(v - 1)*(v + 1)/11
Let o(s) be the first derivative of -s**6/495 + s**5/132 - s**4/132 - s**3/3 + 4. Let m(b) be the third derivative of o(b). Determine u so that m(u) = 0.
1/4, 1
Let v(q) be the third derivative of 0 + 3/200*q**6 - 1/100*q**5 + 0*q + 1/560*q**8 - 3/350*q**7 + 4*q**2 + 0*q**3 + 0*q**4. Solve v(i) = 0.
0, 1
Let y = 59 + -119. Let t be 0 + y/16 - -4. Find a, given that -3/4*a**2 - t*a**3 - 3/4*a - 1/4 = 0.
-1
Let w(c) be the third derivative of 7/50*c**5 + 0*c - 49/300*c**6 + 4/15*c**3 + 0 + 2*c**2 + 2/5*c**4. Determine f so that w(f) = 0.
-2/7, 1
Let b(q) be the first derivative of q**4/4 - 2*q**3/3 - 5*q**2/2 + 6*q - 2. Suppose b(u) = 0. What is u?
-2, 1, 3
Factor 2*v**2 - 32/7*v - 2/7*v**3 + 24/7.
-2*(v - 3)*(v - 2)**2/7
Let q(i) be the third derivative of -i**7/315 - i**6/45 - i**5/30 + i**4/9 + 4*i**3/9 - 11*i**2. Let q(x) = 0. Calculate x.
-2, -1, 1
Let a be (-12)/50*5/(-2). Let d = a + -1/10. Factor -1/2*p + 1/2*p**2 - 1/2 + d*p**3.
(p - 1)*(p + 1)**2/2
Factor -6*v + 3/5*v**2 + 15.
3*(v - 5)**2/5
Let t = 185/36 + -44/9. Factor 0 + t*h**2 - 1/2*h.
h*(h - 2)/4
Let i(s) be the second derivative of 7*s**6/10 - 3*s**5/10 - 7*s**4/4 + s**3 + 33*s. Factor i(l).
3*l*(l - 1)*(l + 1)*(7*l - 2)
Let a(g) = g + 3. Let t be a(0). Suppose 3*u + 1 + 3 = -v, 4*v = t*u - 16. Suppose 2/5*l + u + 2/5*l**2 = 0. Calculate l.
-1, 0
Let c = 14 + -11. Let w(d) be the first derivative of -1/7*d**4 + 2/7*d + 2/35*d**5 - 4/21*d**c + 1 + 1/7*d**2 + 1/21*d**6. Suppose w(t) = 0. Calculate t.
-1, 1
Let f(r) be the first derivative of -2*r**5/5 - 3*r**4/2 - 4*r**3/3 + 2. Factor f(s).
-2*s**2*(s + 1)*(s + 2)
Factor 11/4*h**2 - 69/4*h + 33/4*h**3 + 7/4*h**4 + 9/2.
(h - 1)*(h + 3)**2*(7*h - 2)/4
Let q be 3 + (1 + -1 - 0). Suppose -12 = 3*z - 18. Factor -1/5*i**q + 2/5 - i + 4/5*i**z.
-(i - 2)*(i - 1)**2/5
Let s(j) = 4*j**3 + j**5 - 4*j - 2*j**3 - j**3 + 5*j. Let f(r) = -4*r**5 - r**4 + 5*r**2 - r. Let k be (3/(-4))/((-2)/8). Let g(q) = k*s(q) + f(q). Factor g(d).
-d*(d - 2)*(d + 1)**3
Let b = 7/25 - -1/175. Suppose 4/7*y - 4/7*y**3 + b*y**4 + 0*y**2 - 2/7 = 0. What is y?
-1, 1
Factor 89*k**2 - 48*k - 46*k**2 - 46*k**2 - 192.
-3*(k + 8)**2
Let m(p) = -3*p - 26. Let w be m(-10). Factor 0 + 6/5*x**w - 6/5*x**2 + 0*x**3 - 3/5*x + 3/5*x**5.
3*x*(x - 1)*(x + 1)**3/5
Suppose 3/7*s + 0 + 1/7*s**2 = 0. Calculate s.
-3, 0
Let c(v) be the third derivative of -v**5/15 - 3*v**2. Find z, given that c(z) = 0.
0
Let c(o) be the first derivative of 2/27*o**3 + 0*o + 0*o**2 - 4 + 1/9*o**4 + 2/45*o**5. Factor c(i).
2*i**2*(i + 1)**2/9
Let f(i) = 3*i**5 + 6*i**4 - 13*i**3 - 8*i**2 + 8*i - 4. Let s(p) = 3*p**5 + 6*p**4 - 12*p**3 - 9*p**2 + 9*p - 3. Let u(a) = -3*f(a) + 4*s(a). Factor u(w).
3*w*(w - 1)**2*(w + 2)**2
Let o(a) be the third derivative of -a**6/90 - a**5/45 + a**4/18 + 2*a**3/9 + 12*a**2. Factor o(v).
-4*(v - 1)*(v + 1)**2/3
Suppose -17*v = 17 - 51. Let 0 + 3/5*r**4 + 0*r**v + 0*r - 3/5*r**3 = 0. What is r?
0, 1
Suppose 4*r**2 - 85*r**4 + 3*r**5 + 80*r**3 - 24*r**2 + r**5 + 21*r**5 = 0. What is r?
0, 2/5, 1, 2
Let b(t) be the first derivative of -t**7/210 - t**6/60 + t**5/60 + t**4/12 + 3*t**2/2 - 5. Let y(o) be the second derivative of b(o). Factor y(v).
-v*(v - 1)*(v + 1)*(v + 2)
Let z = -19 + 22. Let n(y) be the first derivative of -7/3*y**6 - 17/2*y**2 + 53/5*y**5 + 2*y + 53/3*y**z - 77/4*y**4 + 1. Let n(u) = 0. What is u?
2/7, 1/2, 1
Suppose -4 + 4 - p**3 - p**3 = 0. What is p?
0
Let v(i) = -10*i**5 - 5*i**4 + 10*i**3 + 10*i**2 - 5*i. Let z(r) = r**5 - 1. Let u(s) = v(s) + 5*z(s). Factor u(k).
-5*(k - 1)**2*(k + 1)**3
Let a = -8 - -9. Let c be ((-14)/(-6) + -2)/a. Suppose -2/3*y**2 + 1/3*y**3 + 2/3 - c*y = 0. What is y?
-1, 1, 2
Suppose 0 = -8*b + 6*b + 4. Let -2*t**4 - 2*t**3 + 8*t**5 - 3*t**5 - 3*t**5 + 2*t**b = 0. Calculate t.
-1, 0, 1
Let r = 1 + 1. Factor p**r + p**2 + 4*p - p**2 + 4.
(p + 2)**2
Let h(k) = -6*k**2 - 14*k - 4. Let q(y) = y**2. Let t(x) = h(x) - 4*q(x). Factor t(s).
-2*(s + 1)*(5*s + 2)
Suppose 0 = 6*l - 68 - 28. Suppose 0 = -4*g - 0 - l, -4*x + 20 = -g. Factor 0 + 0*r - 8/9*r**3 - 2/9*r**x - 8/9*r**2.
-2*r**2*(r + 2)**2/9
Factor 1/3*b**4 + 1/6*b**5 + 0 + 1/6*b**3 + 0*b + 0*b**2.
b**3*(b + 1)**2/6
Factor 3/7*v**3 + 3/7*v**2 - 3/7*v**4 + 0 - 3/7*v.
-3*v*(v - 1)**2*(v + 1)/7
Let v(y) be the third derivative of 0*y**3 + 1/8*y**4 + 1/40*y**6 + 0 + 0*y - 1/10*y**5 - 3*y**2. Find h such that v(h) = 0.
0, 1
Let z be -2 - 3 - (-1 + -7). Let y(w) be the first derivative of 1/2*w**2 - z - 1/2*w**4 + 0*w + 1/6*w**6 + 0*w**3 + 0*w**5. Determine o, given that y(o) = 0.
-1, 0, 1
Let v(c) = -c**2 - 6*c - 2. Let r be v(-4). Factor a**4 + 3*a - 5*a**2 - 2 + 0*a + 0 + r*a**2 - 3*a**3.
(a - 2)*(a - 1)**2*(a + 1)
Let y(z) be the first derivative of 5*z**3/3 + 25*z**2 + 125*z + 49. What is v in y(v) = 0?
-5
Let n(p) be the third derivative of 1/72*p**6 + p**2 - 1/36*p**3 - 1/36*p**5 + 5/144*p**4 + 0*p - 1/252*p**7 + 0 + 1/2016*p**8. Factor n(y).
(y - 1)**5/6
Let w(z) be the second derivative of -z**9/15120 + z**8/3360 - z**7/2520 - z**4/4 + 3*z. Let t(j) be the third derivative of w(j). Factor t(l).
-l**2*(l - 1)**2
Factor 5*n**2 + 2*n + 4 + 7 - 26 + 8*n.
5*(n - 1)*(n + 3)
Let a(g) = 93*g + 672. Let f(n) = -n**2 + 94*n + 671. Let p(d) = -4*a(d) + 3*f(d). Let p(h) = 0. Calculate h.
-15
Let m = -1/257 - -287/7710. Let g(l) be the second d