What is g?
-1, 1
Let j(q) be the second derivative of q**7/420 + q**6/120 - q**4/24 - 5*q**3/6 + 4*q. Let t(r) be the second derivative of j(r). Solve t(p) = 0 for p.
-1, 1/2
Factor -8*c**4 + 6*c**4 - c**4 - 4*c**2 + 10*c**3 - 8*c.
-c*(c - 2)**2*(3*c + 2)
Let b(s) = s**3 + 9*s**2 + 13*s - 5. Let f be b(-7). Suppose -3/4*v - 3/4*v**f + 0 = 0. Calculate v.
-1, 0
Suppose 0 = p - 5*p - 8. Let y(w) = -5*w**3 + 3*w**2 + 9*w - 7. Let j(s) = s**3 - s**2 - 2*s + 2. Let r(v) = p*y(v) - 9*j(v). Factor r(l).
(l - 1)*(l + 2)**2
Let s(z) be the second derivative of -z**5/90 - z**4/27 + z**3/9 + 5*z. Determine v so that s(v) = 0.
-3, 0, 1
Suppose -3/4*j**3 - 9/4*j - 3/4 - 9/4*j**2 = 0. What is j?
-1
Suppose -4*s - 12 - 6 = -3*g, 2*s = -g - 4. Solve -7*m**4 - 4*m**3 + 11*m**4 - g*m**4 - 2 + 4*m = 0 for m.
-1, 1
Suppose 2*i = -5*r - 18, r + 9 + 5 = -3*i. Let f be i/32*14 + 2. Solve f*v + 0 + 1/4*v**2 = 0.
-1, 0
Find c, given that -12/5*c**3 - 3/5 + 12/5*c + 3/5*c**2 = 0.
-1, 1/4, 1
Let l be (26/(-6) + 3)*30/(-20). Find b such that 0 + 6/7*b**5 + 0*b**l + 0*b + 10/7*b**4 + 4/7*b**3 = 0.
-1, -2/3, 0
Suppose 0 = 4*q - 40 + 8. What is i in 28*i + 6*i**2 - 7*i**2 - q*i**2 - 25*i = 0?
0, 1/3
Determine k so that 2/3*k**3 + 0*k**2 - 2/3*k + 0 = 0.
-1, 0, 1
Let d(c) = -c**3 + c**2 - 3*c - 3. Suppose -z + 1 = 3. Let l(i) = -3*i**3 + 2*i**2 - 7*i - 7. Let s(b) = z*l(b) + 5*d(b). Factor s(p).
(p - 1)*(p + 1)**2
Let o(s) be the second derivative of 0*s**2 + 0 + 1/30*s**3 - 3*s + 1/60*s**4 - 1/50*s**5. Factor o(q).
-q*(q - 1)*(2*q + 1)/5
Let i = 4 + -1. Find n, given that -4*n + 2*n - n + 0*n - i*n**3 + 6*n**2 = 0.
0, 1
Let y be (0/(-3))/(-1)*1. Suppose 6 + y = 3*u. Factor 2*j - 2*j**4 + 2 - u + 2*j**2 - 2*j**3.
-2*j*(j - 1)*(j + 1)**2
Let x(j) be the second derivative of -j**5/5 - j**4/3 + 4*j**3/3 + 24*j. Factor x(c).
-4*c*(c - 1)*(c + 2)
Let k(q) be the third derivative of -q**5/60 + q**4/6 + 2*q**3 + 38*q**2. Let k(b) = 0. Calculate b.
-2, 6
Factor -78*f**2 - 78*f**2 + f + 157*f**2.
f*(f + 1)
Let y(p) = 2*p - 6. Let d be y(4). Let m be (-1)/(-5)*5/3. Factor -1/3 - 2/3*l - m*l**d.
-(l + 1)**2/3
Let f be (-58)/8*8/2. Let n = f - -59/2. Suppose 2*l**3 + 1/2*l**4 - n*l**2 + 0*l + 0 - 2*l**5 = 0. Calculate l.
-1, 0, 1/4, 1
Let w = 452 + -451. Solve 5/2*v**3 - 9/2*v**2 - w + 7/2*v - 1/2*v**4 = 0.
1, 2
Let j be ((-6)/9)/((-8)/36). Suppose 2*b + j*b + 4*d - 2 = 0, -10 = -3*b + 2*d. What is u in 18/11*u**b + 8/11 + 24/11*u = 0?
-2/3
Let t be (-12)/(-8)*80/6. Suppose -o = 4*o - t. Let -4*d**3 - 2*d**4 + 2 + o*d - 1 + 1 + 0*d**4 = 0. What is d?
-1, 1
Let l = 7 - 5. Factor l*a + 2*a**3 + 3 - a**2 - 3*a - 3.
a*(a - 1)*(2*a + 1)
Let j(z) be the first derivative of -1/33*z**6 + 0*z**3 + 1/11*z**4 - 1/11*z**2 + 0*z + 2 + 0*z**5. Suppose j(l) = 0. Calculate l.
-1, 0, 1
Let q be (24/9)/((-4)/(-6)). Suppose -f + m + 13 = q*f, -3*m - 3 = 3*f. Let -3*g**2 + 2*g**3 - f*g**2 + 3*g**2 = 0. What is g?
0, 1
Solve 4/5 + 2/5*d**3 + 6/5*d**2 - 2*d - 2/5*d**4 = 0 for d.
-2, 1
Factor 2*f + 3/2*f**3 + 3*f**2 + 1/4*f**4 + 0.
f*(f + 2)**3/4
Let m(v) = -13*v - 273. Let g be m(-21). Factor -2/5*y**2 + g + 4/5*y**3 - 2/5*y**4 + 0*y.
-2*y**2*(y - 1)**2/5
Let p be ((-7)/12 + (-1)/(-2))/(-2). Let v(m) be the third derivative of 0*m + 0 + 0*m**3 + p*m**4 + 1/30*m**5 - 3*m**2. Determine j so that v(j) = 0.
-1/2, 0
Let i(j) be the first derivative of j**6/90 - j**5/20 + j**4/12 - j**3/18 + 2*j**2 - 2. Let c(t) be the second derivative of i(t). Find g such that c(g) = 0.
1/4, 1
Let q(a) be the first derivative of 3*a**4/2 - 2*a**3/3 - 5*a**2/2 + 3*a + 3. Let x(m) = m**3 - m**2 - m + 1. Let y(v) = 3*q(v) - 6*x(v). Factor y(z).
3*(z + 1)*(2*z - 1)**2
Let v = -4464 - -1607041/360. Let g(y) be the third derivative of v*y**6 + 0*y**4 + 0*y - 1/180*y**5 + y**2 + 0*y**3 + 0. Factor g(q).
q**2*(q - 1)/3
Let m(n) = n**3 - n**2 - 2. Let b be m(2). Factor 0 - s**4 + s**b + 1 - 1.
-s**2*(s - 1)*(s + 1)
Let q be 3/7*(-6 - 66/(-9)). Determine n, given that -q*n + 10/7*n**2 + 0 + 18/7*n**3 - 2*n**5 - 10/7*n**4 = 0.
-1, 0, 2/7, 1
Let k = 2 + 1. Let d(a) be the first derivative of 1 - a + 4/3*a**k - 3/2*a**2. What is r in d(r) = 0?
-1/4, 1
Let x = 38 - 36. Let i(n) be the second derivative of -9/10*n**5 - 13/3*n**3 + 0 - 10/3*n**4 - n - 2*n**x. Factor i(w).
-2*(w + 1)**2*(9*w + 2)
Let i = 26/11 + -160/77. Let z = -2/61 + 136/427. Determine o so that i + 0*o - z*o**2 = 0.
-1, 1
Suppose 5*j - 6*h - 20 = -2*h, 0 = 3*j + h - 29. Let n(g) be the first derivative of j*g - 3 + 2/3*g**3 - 4*g**2. What is v in n(v) = 0?
2
Suppose -3*w**2 + 18*w**4 + 2*w + 0*w**2 - 9*w**4 - 8*w**4 = 0. Calculate w.
-2, 0, 1
Let o = -64 - -129/2. Factor 0 + 1/2*q**4 + 0*q + o*q**2 + q**3.
q**2*(q + 1)**2/2
Suppose -2*w + 12 = w. Suppose -w + 6*q + 2*q - 4*q**2 + q + q = 0. Calculate q.
1/2, 2
Factor 3/4*w**3 + 0 + 3*w + 3*w**2.
3*w*(w + 2)**2/4
Suppose -2 = 4*k + 18. Let x(a) be the first derivative of -a**3/3 + 7*a**2/2 - a - 1. Let l(h) = -h**2 + 6*h - 1. Let v(i) = k*l(i) + 4*x(i). Factor v(f).
(f - 1)**2
Factor -1/3*p**5 + 1/3*p**3 + 0 + 0*p**4 + 0*p + 0*p**2.
-p**3*(p - 1)*(p + 1)/3
Let j(o) = o**3 - o. Let r(m) = -3*m**3 + 2*m**2 + m. Let s(n) = 2*j(n) + r(n). Let s(i) = 0. Calculate i.
0, 1
Suppose 0 = -2775*i + 2766*i + 18. Solve -14/9*x**i + 8/9 - 8/3*x = 0.
-2, 2/7
Let l be (-34)/(-52) + (-2)/13. Factor 0 - 1/2*f**5 - 1/2*f**4 + 0*f + 1/2*f**2 + l*f**3.
-f**2*(f - 1)*(f + 1)**2/2
Let a(g) be the first derivative of -g**8/7560 + g**7/945 - g**6/405 + 2*g**3/3 + 2. Let q(c) be the third derivative of a(c). Factor q(n).
-2*n**2*(n - 2)**2/9
Let h(t) = -t**3 - 6*t**2 + 5*t - 9. Let k be h(-7). Let x = 8 - k. Factor -2/3 - 23/6*u**2 + 7/6*u**x + 10/3*u.
(u - 2)*(u - 1)*(7*u - 2)/6
Suppose 3*w + 8 = 23, w = 2*n - 7. Let u = n - 2. Factor 0*o**3 + 1/5*o**2 - 1/5*o**u + 0 + 0*o.
-o**2*(o - 1)*(o + 1)/5
Suppose 3*n + 13 = -w, -4*w - 3*n + 5 = 12. Factor 4/3*a**w + 2/3*a + 0.
2*a*(2*a + 1)/3
Let c(f) be the first derivative of -3*f**4/8 + f**3/2 + 15*f**2/4 + 9*f/2 + 17. Find h, given that c(h) = 0.
-1, 3
Let w(y) be the first derivative of -y**9/7560 - y**8/4200 + y**7/2100 + y**6/900 + y**3 + 3. Let f(g) be the third derivative of w(g). Factor f(d).
-2*d**2*(d - 1)*(d + 1)**2/5
Let n(o) be the third derivative of 0*o + 0 + 0*o**4 - 1/120*o**5 + 5*o**2 + 0*o**3 - 3/70*o**7 - 17/480*o**6. Factor n(l).
-l**2*(4*l + 1)*(9*l + 2)/4
Let w(h) be the first derivative of h**8/24 + 16*h**7/105 + 11*h**6/60 + h**5/15 + 5*h**2/2 - 6. Let c(g) be the second derivative of w(g). Factor c(s).
2*s**2*(s + 1)**2*(7*s + 2)
Suppose 8*d + 6 = 2*d. Let o be (d - 0)*(-7 + 7). Factor o + 2/3*n**5 + 0*n - 2/3*n**4 + 0*n**3 + 0*n**2.
2*n**4*(n - 1)/3
Let f(s) be the second derivative of 7*s**5/360 + s**4/72 + s**2 - s. Let g(u) be the first derivative of f(u). Factor g(h).
h*(7*h + 2)/6
Let l = -3 - -3. Let p(j) be the first derivative of l*j - 1/6*j**4 + 1 + 2/9*j**3 - 1/12*j**2. Factor p(t).
-t*(2*t - 1)**2/6
Let l = 27 - -19. Let b be 0 + -4 + l/11. Find w, given that -6/11*w**4 + 0 - 2/11*w**2 - b*w**5 + 0*w - 6/11*w**3 = 0.
-1, 0
Let o be 7 - (-4 - -8) - 0. Find h such that 3*h**2 - h - o + 2*h - 2*h**2 - 3*h = 0.
-1, 3
Let j(p) = 2*p**4 + 6*p**3 - 5*p**2 - 5*p + 4. Let w(k) = k**3 + 1 - k**2 - k**4 + 0 - k**3 - k**3. Let x(a) = j(a) - 2*w(a). Determine h, given that x(h) = 0.
-2, -1, 1/2
Let y(x) be the first derivative of x**5/25 - x**4/20 - x**3/15 + x**2/10 - 9. Determine j so that y(j) = 0.
-1, 0, 1
Let p(s) = -s**2 + 8*s - 5. Let q be p(7). Let o(a) be the second derivative of 0 + 2/15*a**3 - 1/5*a**q - 1/30*a**4 - 2*a. Solve o(r) = 0.
1
Let n(z) be the first derivative of -2/3*z - 86/9*z**3 + 1 - 11/3*z**2 - 16/9*z**6 - 73/6*z**4 - 112/15*z**5. Solve n(f) = 0.
-1, -1/4
Find r, given that -1/8*r**2 - 1/8*r**3 + 1/4*r**4 + 0 + 0*r = 0.
-1/2, 0, 1
Factor 1/5*w**3 - 4/5*w + 2/5*w**2 - 8/5.
(w - 2)*(w + 2)**2/5
Suppose 4*b - 30 = -10. Let d(f) be the third derivative of 0*f**3 + 1/80*f**6 + 0*f + 0 - 2*f**2 + 1/16*f**4 - 1/20*f**b. Factor d(s).
3*s*(s - 1)**2/2
Suppose -3*s - 5*h = -18, 2*s - 6*s - 3*h = -24. Let d be 304/35 + s/(-21). Solve -48/5*j + 8/5 + 82/5*j**2 - d*j**3 = 0 for j.
2/7, 2/3, 1
Let v(h) be the second derivative of -h**4/6 - 2*h**3/3 - 4*h. What is 