 37*r + 16. Let o be y(-7). Factor 8/13*b + 20/13*b**o + 6/13*b**3 - 16/13.
2*(b + 2)**2*(3*b - 2)/13
Let q be 410/105 + 22/231. Let d(k) be the third derivative of 0*k - 1/20*k**5 - 7*k**2 - 1/2*k**q + 0 - 3/2*k**3. Let d(g) = 0. Calculate g.
-3, -1
Let b = 68 + -71. Let r be 2/b - (-54)/81. Determine d so that -1/2*d**3 - 1/4*d**2 - 1/4*d**4 + 0 + r*d = 0.
-1, 0
Suppose 5*z = -176 - 324. Let q be -3 + 4 - (z/(-36))/5. Factor -2/9*j**2 - q*j - 2/9.
-2*(j + 1)**2/9
Suppose 35*y - 40*y - 20 = 5*f, 2*f = 3*y - 8. Factor -3/5*g**4 + 0 + 0*g + 4/5*g**2 + y*g**3 + 1/5*g**5.
g**2*(g - 2)**2*(g + 1)/5
Let a(f) be the second derivative of 1/2*f**2 + 0 - 16*f - 1/12*f**4 - 1/20*f**5 + 1/6*f**3. Factor a(j).
-(j - 1)*(j + 1)**2
Let s(k) = 3*k**3 - 21*k**2 + 53*k - 31. Let w(c) = c**3 + 2*c - 2. Let t(q) = -3*s(q) + 12*w(q). What is l in t(l) = 0?
-23, 1
Let s = 109 + -102. Let t(c) be the third derivative of 0*c + 2*c**2 + 0 + 1/48*c**4 - 1/30*c**5 + 0*c**3 + 1/48*c**6 - 1/210*c**s. Factor t(m).
-m*(m - 1)**2*(2*m - 1)/2
Factor -12769/8 + 113/4*u - 1/8*u**2.
-(u - 113)**2/8
Factor 3/5*k - 66/5 + 18/5*k**2.
3*(k + 2)*(6*k - 11)/5
Suppose 3*x - 6 = 3*j, 7*j - 3*x = 5*j - 8. What is c in 0 + 1/5*c**j + 0*c - 1/5*c**3 = 0?
0, 1
What is f in 514*f + 3*f**4 - 9*f**2 - 1014*f + 509*f + 4 - f**3 - 6 = 0?
-2, 1/3, 1
Factor 5 - 5*d**5 - 20*d**3 + 200*d + 10*d**2 - 20*d**4 - 175*d + 5.
-5*(d - 1)*(d + 1)**3*(d + 2)
Let s(j) be the third derivative of j**5/30 - j**3 + 2*j**2. Let c be s(5). Let -c*t**3 + 11*t**4 - 8 - 36*t + t**4 + 8 + 60*t**2 + 8 = 0. Calculate t.
2/3, 1
Let f be (-3)/(-20)*-3*10/225. Let g = 211/550 + f. Factor -2/11*m**4 + g*m**3 + 0 - 2/11*m**2 + 0*m.
-2*m**2*(m - 1)**2/11
Find f such that -16*f - 74*f**3 - 14*f + 71*f**3 - 21*f**2 = 0.
-5, -2, 0
Let o(x) be the first derivative of -x**4/4 + 5*x**3/3 + 3*x**2 - 95. Determine b so that o(b) = 0.
-1, 0, 6
Suppose 6*p + 92/15 - 2/15*p**2 = 0. Calculate p.
-1, 46
Suppose -3*q - 2*q - 20*q**3 + 3*q - 2*q + 12*q**2 + 12*q**2 = 0. What is q?
0, 1/5, 1
Let l(j) be the first derivative of -j**6/280 - 13*j**5/280 - j**4/14 + 19*j**3/3 - 15. Let u(k) be the third derivative of l(k). Find m such that u(m) = 0.
-4, -1/3
Let c = 3 - -2. Suppose 2*k**4 - 3*k**4 - k**4 + k**c = 0. Calculate k.
0, 2
Let l(a) = -2*a**4 - a**3 + a**2 - 1. Let g(k) = -8*k**4 + 21*k**3 + 43*k**2 - 6*k - 21. Let u(p) = -g(p) + l(p). Factor u(w).
2*(w - 5)*(w + 1)**2*(3*w - 2)
Let d(j) be the second derivative of -j**6/120 - 3*j**5/40 - 11*j**4/48 - j**3/4 + 43*j + 1. Find s, given that d(s) = 0.
-3, -2, -1, 0
Determine s so that 8*s**4 + 16/3*s**5 + 5*s - 31/3*s**3 - 2/3 - 22/3*s**2 = 0.
-2, -1, 1/4, 1
Suppose 3*p - 34 = -10. Suppose c - p = 3*w, 4*w = -5*c - 2 + 4. Factor 1/3*v**c - 2/3 + 1/3*v**4 + v**3 - v.
(v - 1)*(v + 1)**2*(v + 2)/3
Let q(j) = j**3 - j**2. Let z(n) be the first derivative of -3*n**4/4 + 6*n**3 - 45. Let r(y) = -6*q(y) - z(y). Factor r(b).
-3*b**2*(b + 4)
Suppose 3*l = -u - 15, 0*l = -5*u - 4*l - 20. Suppose 25*v**5 - 2*v**4 + u*v**4 - 21*v**5 + 0*v**4 = 0. What is v?
0, 1/2
Let b(u) = -u**2 + 62*u + 66. Let g be b(63). Factor -27/7*c**2 - 3*c - 6/7 - 15/7*c**g - 3/7*c**4.
-3*(c + 1)**3*(c + 2)/7
Let t(p) be the first derivative of 4/11*p**2 - 2/33*p**3 - 7 - 8/11*p. Let t(f) = 0. Calculate f.
2
Solve 15*j**2 - 3/4*j**3 - 15 + 3/4*j = 0 for j.
-1, 1, 20
Let d = -1943/7 - -3921/14. Suppose -1/2*c**2 - 1/2*c**3 - 3/2 + d*c = 0. What is c?
-3, 1
Suppose 0 = -5*q - 5 + 20. Suppose 4*p = 3*b + 51, 2*p - 34 = -q*b - 13. Let 12 + p - 3*a**3 + 3*a - 21 - 3*a**2 = 0. What is a?
-1, 1
Let l(x) = -x**3 - 9*x**2 + x + 13. Let n = -21 - -12. Let y be l(n). Determine u, given that 0*u + y*u + 2*u - 4*u + u**2 = 0.
-2, 0
Let n(b) be the first derivative of b**4/24 - b**3/12 - b**2/2 - 19*b + 10. Let u(f) be the first derivative of n(f). Factor u(h).
(h - 2)*(h + 1)/2
Suppose -14*j - 45 = -40*j + 11*j. Determine q, given that 1/5*q - 1/5*q**j + 0*q**2 + 0 = 0.
-1, 0, 1
Let y(f) be the second derivative of -f**6/220 - f**5/66 - f**4/132 + f**3/33 - 21*f**2/2 - 5*f. Let n(j) be the first derivative of y(j). Factor n(w).
-2*(w + 1)**2*(3*w - 1)/11
Suppose -4*o - 59 = 265. Let z be (21/(-28))/(o/24). Factor 4/9*f**2 + 2/9*f + 0 + 0*f**3 - z*f**5 - 4/9*f**4.
-2*f*(f - 1)*(f + 1)**3/9
Let l(a) be the third derivative of a**5/20 + a**4/2 + 2*a**3 + 3*a**2 + 23*a. Factor l(h).
3*(h + 2)**2
Suppose 0 = 3*d + 2 - 8. What is a in 8 - 1 + 15*a**d - 5*a**3 - 2 - 12*a - 3*a = 0?
1
Let q be 3 + (-5 - -2) + 3. Let n(r) be the first derivative of 9*r**2 - 15*r**5 - 18*r**3 - 3*r - 28*r**3 + 9*r**2 + q*r**4 - 13 + 42*r**4. Factor n(v).
-3*(v - 1)**2*(5*v - 1)**2
Find q, given that -3*q + 33*q**2 - 137*q**2 - 147*q**4 + 59*q**2 - 189*q**3 = 0.
-1, -1/7, 0
Suppose -9 = -10*s + 11*s. Let l be (s/3 - -9)*(-3)/(-27). Let -4/9*a - 2/9*a**3 + l*a**5 - 10/9*a**4 + 0 + 10/9*a**2 = 0. Calculate a.
-1, 0, 2/3, 1
Let c(l) = 7*l**2 + 34*l + 406. Let t(n) = -n**2 + n - 1. Let y(r) = c(r) + 6*t(r). Factor y(i).
(i + 20)**2
Let s(j) be the second derivative of 121*j**5/50 + 77*j**4/30 - 8*j**3/3 + 4*j**2/5 - 3*j - 16. Factor s(h).
2*(h + 1)*(11*h - 2)**2/5
Factor -3 - 6 - 11 + x**2 + 4 - 19 + 2*x.
(x - 5)*(x + 7)
Let x(g) be the second derivative of 1/15*g**4 - 2/75*g**6 - 12*g + 0 - 7/50*g**5 + 0*g**2 + 0*g**3 + 1/15*g**7. Suppose x(i) = 0. What is i?
-1, 0, 2/7, 1
Let a(c) = -15*c + 0*c**2 + 0*c**2 - 14 + 4*c**2 - 3*c**2. Let w be a(16). Find s, given that 18*s**4 - 19*s**2 + 8*s**5 + s**w + 6*s**5 - 10*s**3 - 4*s = 0.
-1, -2/7, 0, 1
Let q(n) = -28*n**4 - 19*n**3 + 237*n**2 - 141*n + 3. Let m(a) = a**5 - a**3 - a**2 + a + 1. Let i(d) = 6*m(d) - 2*q(d). Find w such that i(w) = 0.
-6, 0, 2/3, 2
Solve 1/3*s**4 - 4*s + 4/3*s**3 + 3 - 2/3*s**2 = 0.
-3, 1
Let o(a) be the third derivative of -a**7/3360 - a**6/160 + 11*a**4/12 - 5*a**2. Let y(g) be the second derivative of o(g). Factor y(n).
-3*n*(n + 6)/4
Let u(h) be the third derivative of 3*h**6/20 - h**5/20 - 3*h**4 + 2*h**3 + 231*h**2. What is i in u(i) = 0?
-2, 1/6, 2
Let p(o) = -7*o**4 + 12*o**3 + 43*o**2 - 11*o - 35. Let v(n) = 3*n**4 - 6*n**3 - 21*n**2 + 6*n + 18. Let l(z) = -6*p(z) - 11*v(z). Factor l(s).
3*(s - 2)*(s + 1)**2*(3*s - 2)
Suppose -f + 0 - 6 = 0. Let z be (0 - (-18)/204)*(-128)/f. Suppose -z - 16/17*d + 14/17*d**2 - 2/17*d**3 = 0. What is d?
-1, 4
Let c = -3427/7 - -490. Factor -12/7*g**2 + c*g**4 - 9/7*g**3 + 0 + 0*g.
3*g**2*(g - 4)*(g + 1)/7
Let c = 280 + -278. Let f(d) be the second derivative of 17/18*d**3 + 1/14*d**7 + 5*d + 19/45*d**6 + 0 + 1/3*d**c + 4/3*d**4 + 31/30*d**5. Factor f(b).
(b + 1)**4*(9*b + 2)/3
Factor 2/11*i**3 + 0 - 8/11*i + 2/11*i**4 - 8/11*i**2.
2*i*(i - 2)*(i + 1)*(i + 2)/11
Factor -13/2*g**2 + 1/2*g**4 + 0 + 7/2*g + 5/2*g**3.
g*(g - 1)**2*(g + 7)/2
Let a(w) be the first derivative of -w**5 + 5*w**3/3 + 144. Find c, given that a(c) = 0.
-1, 0, 1
Let t(h) be the third derivative of -h**7/350 - 3*h**6/200 - h**5/50 - 131*h**2. Solve t(a) = 0 for a.
-2, -1, 0
Let c(a) = 3*a**2 - a - 3. Let m be c(2). Suppose -10*d - 5 + 4*d**4 + 8*d**4 - m*d**4 + 0*d**4 + 10*d**3 = 0. Calculate d.
-1, 1
Let s(b) be the first derivative of 3*b**2/2 - 21*b + 32. Let k be s(8). Factor 2/9*x**2 + 2/9*x**4 - 4/9*x**k + 0*x + 0.
2*x**2*(x - 1)**2/9
Suppose -3*s - 49 - 221 = 0. Let k be (3 + (-33)/6)*9/s. Determine x, given that 0*x**4 + 1/4*x**5 + k*x + 0 + 0*x**2 - 1/2*x**3 = 0.
-1, 0, 1
Let y = 189 - 184. Let i(g) be the third derivative of -1/135*g**y + 0*g**4 + 0*g**3 + 1/108*g**6 - g**2 + 0*g + 0. Factor i(h).
2*h**2*(5*h - 2)/9
Solve 12*q**4 + 3328*q - 63*q**3 - 3244*q + 18*q**2 - 6*q**2 + 3*q**5 = 0 for q.
-7, -1, 0, 2
Factor 0*t + 6/11*t**4 - 16/11*t**3 + 8/11*t**2 + 0.
2*t**2*(t - 2)*(3*t - 2)/11
Let m = 5696/3 - 28432/15. What is k in -m*k**2 + 0 + 8/5*k - 2/5*k**4 + 2*k**3 = 0?
0, 1, 2
Let b(m) = -m + 13. Let a be b(7). Let 9*p**2 + 10*p + 4 - 4*p**3 - p**2 + a*p**3 = 0. Calculate p.
-2, -1
Let m(j) be the first derivative of 1/15*j**2 - 2/45*j**3 + 6*j + 1/90*j**4 + 1. Let x(h) be the first derivative of m(h). Factor x(s).
2*(s - 1)**2/15
Suppose -327*z - 38 = -346*z. Find r such that 0 + 1/5*r**3 + 1/5*r**z - 2/5*r = 0.
-2, 0, 1
Let h(j) = -2 + 0 - 2 + j - 15. Let t be h(21). 