s(g) be the first derivative of -g**3/3 + g**2/2 + g + 4. Let b(z) = 18*s(z) - u(z). Find t such that b(t) = 0.
-2, 1
Let h(m) = -m + 7. Let o be h(5). Let s be (30/4)/3*o. Solve -4*g**3 + g**s + 2*g - 2*g**5 + 3*g**5 = 0 for g.
-1, 0, 1
Let d(z) be the third derivative of -z**8/504 - z**7/945 + z**6/108 + z**5/270 - z**4/54 - 14*z**2. Solve d(x) = 0.
-1, 0, 2/3, 1
Let s be 4*(1 + (-3)/6). Factor 3*a**2 + 0*a - 2*a**s - a + 0*a.
a*(a - 1)
Suppose -4*d - 66 = -514. Determine s so that -9*s**3 - 68*s + 5*s**3 - 40*s**3 - 2 - 172*s**4 + d*s**5 + 10 + 164*s**2 = 0.
-1, 1/4, 2/7, 1
Let b be 1*3/(-12)*(-2)/2. Let g(c) be the first derivative of 4/5*c**5 + 0*c**2 - 3 + 0*c**3 + 0*c + 2/3*c**6 + b*c**4. Solve g(k) = 0 for k.
-1/2, 0
Let q = -7/2 + 15/4. Let w(b) be the first derivative of 1/3*b**3 + q*b**2 - 2 + 1/8*b**4 + 0*b. Determine k, given that w(k) = 0.
-1, 0
Factor 2/9*c + 2/3*c**3 + 2/3*c**2 + 2/9*c**4 + 0.
2*c*(c + 1)**3/9
Let f(m) be the first derivative of m**7/42 + m**6/30 - m**5/10 - m**4/6 + m**3/6 + m**2/2 - m - 3. Let d(c) be the first derivative of f(c). Factor d(z).
(z - 1)**2*(z + 1)**3
Let h(c) be the first derivative of -3*c**4/4 - 7*c**3 - 33*c**2/2 - 15*c - 13. Solve h(q) = 0.
-5, -1
Let a(s) be the second derivative of 1/3*s**2 + 0 + 0*s**3 + s - 1/18*s**4. Find h, given that a(h) = 0.
-1, 1
Let 7*k + 19*k**2 - 15*k**2 - 4*k + k = 0. Calculate k.
-1, 0
Let z(p) be the second derivative of p**4/12 - 3*p**3/2 - 5*p**2 + 5*p. Let i be z(10). Solve 0*y**2 + 0 + 1/4*y**3 + i*y = 0 for y.
0
Let o(x) be the first derivative of 5 - 1/2*x**2 - 1/6*x**3 - 1/2*x. Solve o(r) = 0 for r.
-1
Let t = 3 + 1. Let y be (-16)/14*(-1)/t. Factor 2/7*p + 2/7*p**2 - 2/7 - y*p**3.
-2*(p - 1)**2*(p + 1)/7
Let u be (90/(-126))/(5/(-6)). Factor -u*a**2 + 4/7*a + 2/7.
-2*(a - 1)*(3*a + 1)/7
Let t(n) be the second derivative of n**4/30 - 2*n**3/5 + 9*n**2/5 - 3*n. Factor t(s).
2*(s - 3)**2/5
Let f(m) be the third derivative of -m**7/280 + m**6/60 + m**5/80 + m**2 - m. Factor f(g).
-g**2*(g - 3)*(3*g + 1)/4
Let t be 60/(-3)*(-4)/8. Let p = t - 8. Find j such that 25/2*j**p - 10*j + 2 = 0.
2/5
Let u(p) be the third derivative of p**6/1080 + p**5/135 + 5*p**4/216 + p**3/27 + 15*p**2. Factor u(v).
(v + 1)**2*(v + 2)/9
Suppose 2*y - 2 = 2. Let r = 2 + -2. Find f such that -6/5*f**5 + 0*f + 4/5*f**4 + 6/5*f**3 + r - 4/5*f**y = 0.
-1, 0, 2/3, 1
Let u(x) = 6*x**5 - 26*x**4 + 39*x**3 - 19*x**2 - x + 1. Let n(d) = d**5 - d**4 - d**3 + d**2 - d + 1. Let i(h) = -n(h) + u(h). Factor i(w).
5*w**2*(w - 2)**2*(w - 1)
Let f be (9/(-18))/((-6)/4). Suppose -1 = 4*n - 9. Factor -f*a - 1/3*a**n + 0.
-a*(a + 1)/3
Solve 0 - 2/5*k**3 - 2/5*k - 4/5*k**2 = 0.
-1, 0
Let c(r) be the third derivative of -r**7/630 - r**6/360 - 7*r**2. Let c(h) = 0. Calculate h.
-1, 0
Solve -5/2*u - 1/6*u**3 + 3/2 + 7/6*u**2 = 0 for u.
1, 3
Let -9/2*r - 3/2*r**4 - 15/2*r**2 - 1 - 11/2*r**3 = 0. Calculate r.
-1, -2/3
Let m(g) be the first derivative of -g**6/12 + 3*g**5/5 - g**4 - g**3/3 + 9*g**2/4 - 2*g + 3. Factor m(b).
-(b - 4)*(b - 1)**3*(b + 1)/2
Let 4*y**3 + 2*y + 8*y**2 - 8 + 0*y - 6*y**3 = 0. What is y?
-1, 1, 4
Find f, given that 13*f - 172 + 37*f - 5*f**2 + 47 = 0.
5
Let h(b) = 8*b**2 - 12*b + 17. Let d(g) = g**2 + 1. Let t(m) = 5*d(m) - h(m). What is y in t(y) = 0?
2
Let g(a) be the third derivative of a**9/9720 + a**8/6048 - a**7/5670 + a**4/24 + 3*a**2. Let v(l) be the second derivative of g(l). Factor v(i).
2*i**2*(i + 1)*(7*i - 2)/9
Let 0 + 1/5*x**2 + 2/5*x**3 - 1/5*x**4 - 2/5*x = 0. What is x?
-1, 0, 1, 2
Let y(w) be the third derivative of w**6/300 + 2*w**5/75 + w**4/12 + 2*w**3/15 + 13*w**2. Factor y(i).
2*(i + 1)**2*(i + 2)/5
Let -10*b**3 + 50*b**2 + 8*b**4 - 10*b**3 - 6*b**4 = 0. What is b?
0, 5
Let v be -4 + 244/120 + 2. Let o(h) be the third derivative of -v*h**5 + 0 + 0*h**3 + 2*h**2 + 0*h - 1/180*h**6 - 1/18*h**4. Let o(n) = 0. What is n?
-2, -1, 0
Factor -1/4*a**2 + 1/4*a + 1/2.
-(a - 2)*(a + 1)/4
Let u(m) = 24*m**3 + 71*m**2 + 32*m - 55. Let g(l) = 12*l**3 + 36*l**2 + 16*l - 28. Let i(d) = -9*g(d) + 4*u(d). Solve i(a) = 0 for a.
-2, 2/3
Let s(m) be the first derivative of m**6/30 - m**4/4 + m**3/3 - 6*m + 1. Let a(t) be the first derivative of s(t). Solve a(r) = 0.
-2, 0, 1
Factor 0 + 8/3*g**3 + 0*g**2 + 0*g**4 + 0*g - 2/3*g**5.
-2*g**3*(g - 2)*(g + 2)/3
Suppose 2 = -q - i, 0 = 3*q - 0*q - i - 2. Let h(y) be the second derivative of 1/15*y**6 + 0*y**3 + 0 + q*y**4 - 1/10*y**5 + 2*y + 0*y**2. Factor h(n).
2*n**3*(n - 1)
Let a(y) be the third derivative of 4*y**2 - 1/330*y**5 + 0 - 1/66*y**4 + 1/11*y**3 + 0*y. Factor a(h).
-2*(h - 1)*(h + 3)/11
Solve -12/5*k**2 + 48/5*k - 64/5 + 1/5*k**3 = 0.
4
Let a(d) be the first derivative of d**3/18 - 7*d**2/12 + d + 22. Find z such that a(z) = 0.
1, 6
Determine t, given that -4/9*t**3 - 2/9*t**4 + 4/9*t + 0 + 2/9*t**2 = 0.
-2, -1, 0, 1
Let h(v) be the third derivative of -23*v**6/15 + 77*v**5/30 + 17*v**4/12 - 2*v**3/3 - 28*v**2. Solve h(p) = 0.
-1/4, 2/23, 1
Let t be ((-1)/(-2) - 0)*38. Suppose 3*b = -3*k + 3 + 18, -5*b = -3*k - t. Determine q so that -4*q - 2*q + 0*q**k + 4 + 2*q**2 = 0.
1, 2
Let i = -13/6 + 5/2. Let u(n) be the first derivative of -i*n**2 + 5/3*n**4 - 2 + 4/3*n - 22/9*n**3. Find l, given that u(l) = 0.
-2/5, 1/2, 1
Let n(z) = -38*z**4 - 5*z**3 + 16*z**2 - 6*z + 11. Let b(k) = 13*k**4 + 2*k**3 - 5*k**2 + 2*k - 4. Let j(l) = -11*b(l) - 4*n(l). Suppose j(g) = 0. What is g?
-1, 0, 2/9, 1
Let v be (-2)/(-90)*(9 + -8). Let h(j) be the second derivative of 1/18*j**4 - v*j**6 + 2*j + 0*j**2 - 1/9*j**3 + 1/30*j**5 + 0. Let h(p) = 0. What is p?
-1, 0, 1
Let k(g) = -4*g**3 - g**2 + 5. Let q be (-3)/9 - (-70)/(-6). Let i(n) = -10*n**3 - 2*n**2 + 12. Let j(o) = q*k(o) + 5*i(o). Factor j(p).
-2*p**2*(p - 1)
Let q(a) be the third derivative of a**8/13440 + a**7/2240 + a**6/960 - a**5/60 + 4*a**2. Let r(w) be the third derivative of q(w). Factor r(f).
3*(f + 1)*(2*f + 1)/4
Suppose -5*v - 3*s + 3 = 0, 6 = 5*s + 1. Suppose -x = 5*q - v*x - 13, 4*q - 17 = -3*x. Suppose 0*h + 2*h**q - h**3 + 0*h - h**2 = 0. What is h?
0, 1
Let c(j) be the third derivative of j**6/24 - j**5/30 - 2*j**2. Suppose c(p) = 0. What is p?
0, 2/5
Let w(q) be the third derivative of -q**5/240 - q**4/32 - 9*q**2. Find t, given that w(t) = 0.
-3, 0
Suppose 0 = 8*t + 143 - 159. Determine b so that 4/9 + 14/9*b**3 + 22/9*b + 32/9*b**t = 0.
-1, -2/7
Let l = 118 - 114. Factor -4/7*n**3 + 0 + 0*n**2 + 0*n**l + 2/7*n**5 + 2/7*n.
2*n*(n - 1)**2*(n + 1)**2/7
Let o(a) be the third derivative of -a**6/180 + 4*a**5/45 - 4*a**4/9 - 9*a**2. Suppose o(d) = 0. Calculate d.
0, 4
Let t(f) be the second derivative of -f**6/120 + f**5/80 + f**4/24 + 12*f. Factor t(d).
-d**2*(d - 2)*(d + 1)/4
Let n(c) be the second derivative of -c**6/1080 + c**5/90 - c**4/18 + c**3/3 + c. Let j(i) be the second derivative of n(i). Suppose j(z) = 0. Calculate z.
2
Factor 1/6*i**4 - 1/2*i**3 - 1/3 + 1/2*i + 1/6*i**2.
(i - 2)*(i - 1)**2*(i + 1)/6
Let b be ((-3)/20)/(75/(-100)). Let s(v) be the first derivative of 1/2*v**2 - 1/4*v**4 + 1/3*v**3 - b*v**5 + 0*v - 4. Let s(y) = 0. What is y?
-1, 0, 1
Suppose -2/3*b**4 - b**3 + 1/3*b + 0 + 0*b**2 = 0. What is b?
-1, 0, 1/2
Determine r, given that 9*r + 7*r - r**2 + r - 5*r = 0.
0, 12
Let d(g) be the first derivative of g**6/39 + 6*g**5/65 + g**4/26 - 2*g**3/13 - 2*g**2/13 + 27. Determine h so that d(h) = 0.
-2, -1, 0, 1
Let v(q) be the third derivative of q**7/840 + q**6/720 + q**3/3 + 3*q**2. Let j(s) be the first derivative of v(s). Factor j(h).
h**2*(2*h + 1)/2
Let o(n) be the third derivative of n**6/300 + 2*n**5/75 + n**4/15 + 24*n**2. Factor o(r).
2*r*(r + 2)**2/5
Let z be (-15)/((-15)/3) - -1. Let b(t) be the first derivative of -1/14*t**z + 0*t + 0*t**3 - 1 + 0*t**2 + 2/35*t**5. Factor b(k).
2*k**3*(k - 1)/7
Suppose -k = -4*k + 3. Let l be k + -2 + (-15)/(-10). Find h, given that 0 - 2*h**3 - 3/2*h**2 + l*h = 0.
-1, 0, 1/4
Let o(d) be the first derivative of -d**6/300 + d**4/60 + d**2 + 7. Let x(y) be the second derivative of o(y). Factor x(w).
-2*w*(w - 1)*(w + 1)/5
Let c(q) be the first derivative of 3/4*q**2 + 1 + 0*q + 1/4*q**3. Factor c(y).
3*y*(y + 2)/4
Let k(p) be the second derivative of p**6/150 - p**4/20 - p**3/15 + 9*p. What is q in k(q) 