29*s - 76 + 50*s + 4*s**2 - 7*s = 0?
-19, 1
Suppose 7*n - 6*n - 18 = 0. Let p = n + -17. Suppose 12*o**2 + o**3 - 9*o**2 + 0 + 0 + 3*o + p = 0. Calculate o.
-1
Let n(l) = 4*l**3 - 97*l**2 + 37*l - 312. Let h be n(24). Determine g so that 2/11*g**2 + 4/11*g - 2/11*g**3 + h = 0.
-1, 0, 2
Let g(f) = f**3 - f**2 + f. Let b(c) be the third derivative of c**6/10 - c**5/6 + c**4/2 + 4*c**2. Let m(a) = 6*b(a) - 68*g(a). Suppose m(k) = 0. What is k?
-1, 0
Let q(a) = 3*a - 14. Let b = -43 - -52. Let k be q(b). What is j in 3/2*j**3 - 14*j + 4 - 9/2*j**4 + k*j**2 = 0?
-2, 2/3, 1
Let j(k) be the first derivative of -k**7/9240 - k**6/3960 + k**5/264 - k**4/88 - 2*k**3/3 - 7. Let u(c) be the third derivative of j(c). Factor u(x).
-(x - 1)**2*(x + 3)/11
Let f(p) be the first derivative of -1/30*p**5 + 1/12*p**4 - p**3 + 1/180*p**6 + 0*p**2 - 2 + 0*p. Let q(s) be the third derivative of f(s). Factor q(g).
2*(g - 1)**2
Let x(q) be the first derivative of q**4/36 + q**3/3 + 4*q**2/3 + 22*q - 24. Let p(a) be the first derivative of x(a). Factor p(d).
(d + 2)*(d + 4)/3
Suppose -z + 2*z + 132 = 2*x, -x = 5*z + 704. Let w be z/80*(-2)/7. Factor -s + 1/4*s**3 - 2 + w*s**2.
(s - 2)*(s + 2)**2/4
Let o(g) be the third derivative of 7/24*g**6 - 1/42*g**7 - 10/3*g**4 + 0*g + 0*g**3 + 5*g**2 - 2/3*g**5 + 0. Factor o(l).
-5*l*(l - 4)**2*(l + 1)
Let r(f) = -f**3 + 8*f**2 + 10*f - 4. Let j be r(9). Solve -3*q**4 + 6*q + 3*q**2 + q**j - 8*q - 3*q**3 + 4*q**3 = 0 for q.
-1, 0, 1, 2
Let h be (10/(-4))/(2/8). Let y be (-66)/(-30) + 2/h. Find w such that 3*w**3 + 3*w**y + 3*w**4 - w**3 - 5*w**3 - 3*w**3 = 0.
0, 1
Let i(n) = -10*n**4 - n**3 + 19*n**2 - 17*n. Let m(a) = -3*a**4 + 6*a**2 - 6*a. Let g(z) = 2*i(z) - 7*m(z). Factor g(c).
c*(c - 2)**2*(c + 2)
What is m in -40*m**5 - 3*m**3 + 2*m**2 - 2*m**4 + 42*m**5 + 0*m**2 - 11*m**3 + 12*m = 0?
-2, -1, 0, 1, 3
Let w = 173 + -153. Find r, given that -5*r**5 - w*r + 25*r**3 + 26*r**2 - 26*r**2 = 0.
-2, -1, 0, 1, 2
Let f(y) be the first derivative of -2*y**6/3 + 8*y**5 + 12*y**4 - 40*y**3/3 - 22*y**2 - 21. Find s, given that f(s) = 0.
-1, 0, 1, 11
Let q(z) be the third derivative of -z**6/480 + z**5/80 + 13*z**4/96 - 5*z**3/8 - 22*z**2. Factor q(d).
-(d - 5)*(d - 1)*(d + 3)/4
Suppose -19 = -3*g + 3*v - 37, g = -2*v + 24. Factor 1/4*a**5 + 0*a**3 + 0 - 3/4*a**g + a**2 + 0*a.
a**2*(a - 2)**2*(a + 1)/4
Let v(z) = 9*z**2 - 16*z + 16. Let c(k) = -k**2 + k. Suppose 2*l - 1 = -5*q + 6*l, 3*q + 3*l = -21. Let i(j) = q*v(j) - 24*c(j). Let i(m) = 0. Calculate m.
4
Let s(o) be the second derivative of -7*o**5/10 - 65*o**4 - 1792*o**3 + 1568*o**2 + 210*o. Find j, given that s(j) = 0.
-28, 2/7
Let o(r) be the first derivative of -12*r**5/5 - 17*r**4 + 8*r**3/3 + 136*r**2 + 160*r + 419. Solve o(q) = 0 for q.
-5, -2, -2/3, 2
Find p, given that 5/6*p**3 - 5/6*p**2 + 0 - 5/6*p + 5/6*p**4 = 0.
-1, 0, 1
Let v(p) be the second derivative of p**4/16 + p**3/8 + 30*p + 2. Let v(y) = 0. What is y?
-1, 0
Let y(i) be the second derivative of -1/6*i**4 + 0 - 5*i**2 + 5*i - 2*i**3. Solve y(k) = 0.
-5, -1
Factor -10*g**3 + 4*g**2 - 5*g**4 + g + g**2 + 9*g.
-5*g*(g - 1)*(g + 1)*(g + 2)
Let z be (-4)/30 + (-8)/(-60). Let g(x) be the second derivative of -4*x + 0*x**2 + z*x**3 - 3/20*x**5 + 1/10*x**6 + 0*x**4 + 0. Factor g(q).
3*q**3*(q - 1)
Let i(v) = v**2 + 14*v - 11. Let p be i(-15). Factor 0*k**p - 9*k**5 + 6*k**5 + 2*k**2 + 2*k**5 - 2*k**4 + k.
-k*(k - 1)*(k + 1)**3
Let k = 1 + -1. Let b be ((-1038)/1211)/((-18)/14). Factor b*i**2 - 2/9 - 4/9*i**3 + k*i.
-2*(i - 1)**2*(2*i + 1)/9
Suppose 2*p = -2*p + 8. Suppose 32 = 5*f - f. Factor -2 - 1 - p*j - 2*j**2 - 1 + f*j**2.
2*(j - 1)*(3*j + 2)
Let o(b) be the first derivative of -3*b**5/40 + 21*b**4/32 - 7*b**3/4 + 3*b**2/2 - 152. Factor o(g).
-3*g*(g - 4)*(g - 2)*(g - 1)/8
Let d = 230 + -686/3. Let i(j) be the first derivative of -j**2 + 0*j - d*j**3 - 1/2*j**4 - 5. Factor i(m).
-2*m*(m + 1)**2
Let x(q) = -2*q. Let t(w) = -w**2 - 2*w. Let o(c) = 3*t(c) + 6*x(c). Factor o(m).
-3*m*(m + 6)
Let v(o) = -6*o + 68. Suppose -l + 5*t = -6, 23 = 4*l + 3*t - 24. Let c be v(l). Factor 1/2*h**4 + h - h**3 - 1/2*h**c + 0.
h*(h - 2)*(h - 1)*(h + 1)/2
Let j(y) = 93*y + 839. Let k be j(-9). Let l(q) be the first derivative of 0*q - 2/39*q**3 - 1/13*q**4 - 2 + 0*q**k - 2/65*q**5. Factor l(z).
-2*z**2*(z + 1)**2/13
Let i(t) be the third derivative of t**7/1260 + t**6/240 + t**5/120 + t**4/144 + 932*t**2. Factor i(c).
c*(c + 1)**3/6
Let a(j) be the first derivative of 13 + 0*j - 5/2*j**4 + 6/5*j**5 - 52/3*j**3 - 8*j**2. Solve a(z) = 0 for z.
-2, -1/3, 0, 4
Let f = -25060 + 25062. Let -9/5*l**3 - 54/5*l - 39/5*l**f - 24/5 = 0. Calculate l.
-2, -4/3, -1
Let i = -45 - -33. Let c be (-1 + 1)/(i - -10). Suppose -2/9*s**3 + 4/9*s + c + 2/9*s**2 = 0. What is s?
-1, 0, 2
Let y(o) be the first derivative of -2*o**3 - 36 + 0*o + 0*o**2 + 7/4*o**4 - 1/5*o**5. Factor y(w).
-w**2*(w - 6)*(w - 1)
Let w(u) = 5*u**4 - 13*u**3 - 28*u**2 + 33*u - 3. Let j(n) = 5*n**4 - 12*n**3 - 27*n**2 + 32*n - 2. Let z(g) = -3*j(g) + 2*w(g). Let z(l) = 0. What is l?
-2, 0, 1, 3
Let g(i) be the first derivative of 4 - 1/12*i**4 + 0*i**2 + 8*i - 1/60*i**5 - 1/9*i**3. Let o(b) be the first derivative of g(b). Let o(s) = 0. What is s?
-2, -1, 0
Let i(b) be the third derivative of b**5/60 - 3*b**4/8 - 19*b**3/6 - 2*b**2 + 2. Let s be i(11). Factor 4*j**2 + 16/3*j + 0*j**s - 2/3*j**4 + 2.
-2*(j - 3)*(j + 1)**3/3
Let m(x) = -x**3 + 5*x**2 - 9*x - 10. Let i(c) = -c**3 + 5*c**2 - 7*c - 9. Let h(t) = 5*i(t) - 4*m(t). Factor h(y).
-(y - 5)*(y - 1)*(y + 1)
Let c be (-36)/30*10/(-6). Suppose -4*s**3 - 5*s - 11*s + 6*s**c + 10*s**2 = 0. Calculate s.
0, 2
Factor 12*x**2 + 0 - 3 + 2 - 18 + 3 + 4*x**3.
4*(x - 1)*(x + 2)**2
Let w(q) be the first derivative of 54*q**5/25 + 594*q**4/5 + 156*q**3 + 388*q**2/5 + 86*q/5 - 169. Factor w(z).
2*(z + 43)*(3*z + 1)**3/5
Let n(t) be the third derivative of -1/30*t**6 + 2/15*t**5 + 1/6*t**4 + 0 + 0*t - 4/3*t**3 + 14*t**2. Find c, given that n(c) = 0.
-1, 1, 2
Suppose -4*y + 1135 = y - h, 2*h = -y + 238. Let z be (4/y)/((-1)/(-24)). Factor 0 - 2/19*c - 10/19*c**2 - z*c**3.
-2*c*(c + 1)*(4*c + 1)/19
Let v(k) = 21*k**3 - 24*k**2 + 3*k - 18. Let c(p) = 6*p**3 - 7*p**2 + p - 5. Let l = 15 + 3. Let z(h) = l*c(h) - 5*v(h). Suppose z(b) = 0. What is b?
0, 1
Let o(i) be the first derivative of 2*i**3/27 - 7*i**2/9 + 4*i/3 - 156. Factor o(q).
2*(q - 6)*(q - 1)/9
Let o be 9 + (-148)/8 - -14. Let v be 2/7 - 48/(-28). Factor -1/2*z + 0 - o*z**v.
-z*(9*z + 1)/2
Let t = 38030 - 38030. Solve t + 4/3*i**3 - 16/3*i**2 + 0*i + 2/3*i**5 + 10/3*i**4 = 0 for i.
-4, -2, 0, 1
Let y(p) be the first derivative of 5/14*p**4 - 6/35*p**5 + 8/21*p**3 - 50 - 4/7*p**2 + 0*p. Find c such that y(c) = 0.
-1, 0, 2/3, 2
Factor -46/3*b - 40 - 2/3*b**2.
-2*(b + 3)*(b + 20)/3
Let m(w) be the third derivative of w**8/112 - 8*w**7/35 - w**6/20 + 8*w**5/5 + w**4/8 - 8*w**3 - 326*w**2. Find h such that m(h) = 0.
-1, 1, 16
Let t(n) be the second derivative of -n**5/12 - 5*n**4/3 - 40*n**3/3 - n**2/2 - 11*n. Let b(q) be the first derivative of t(q). Factor b(z).
-5*(z + 4)**2
Let i(a) be the first derivative of 3/10*a**5 + 1/4*a**4 - 4*a + 5 + 0*a**3 + 1/10*a**6 + 0*a**2. Let m(u) be the first derivative of i(u). Factor m(z).
3*z**2*(z + 1)**2
Let d = -3 + 8. Let h = d + -1. Factor h*q**2 - 157*q + 157*q + 4*q**4 + 10*q**3.
2*q**2*(q + 2)*(2*q + 1)
Let i(d) = -8*d**2 + 102*d + 38. Let h(x) = 7*x**2 - 101*x - 39. Let k(n) = 6*h(n) + 7*i(n). Factor k(w).
-2*(w - 8)*(7*w + 2)
Let t(i) be the third derivative of 0*i**4 + 3*i**2 + 1/450*i**5 + 0 + 0*i**3 + 0*i. Factor t(m).
2*m**2/15
Let s(n) = -n**2 - 2*n + 1. Let h(l) = 2*l**2 + 3*l - 1. Let c(r) = -3*h(r) - 3*s(r). Solve c(w) = 0.
-1, 0
Let o(m) = 3*m**3 + m**2 - 6*m + 29. Let c be o(4). Let t = c + -213. Factor 0*z + 0*z**3 + t*z**2 + 0 - 2/5*z**4 + 2/5*z**5.
2*z**4*(z - 1)/5
Let f = 159 - 157. Suppose d = -5*t - 3*d + 30, t + 8 = f*d. Factor -x**t + 2*x - 1/2*x**3 + 4.
-(x - 2)*(x + 2)**2/2
Let h = -17 - -19. Let l be (-584)/(-657) + (0 - (-2)/(-3)). Solve 16/9*i - l*i**h - 32/9 = 0.
4
Let g(j) be the third derivative of -j**6/60 - 19*j**5/30 - 37*j**4/6 - 56*j**3/3 + 477*j**2. Let g(a) = 0. Calculate a.
-14, -4, -1
Let l(n) be the third d