-4*c**3 + 2*c**2 - c + 1. Let h(j) = 11*j**3 - 118*j**2 + 369*j - 254. Let v(w) = 4*b(w) + h(w). Factor v(x).
-5*(x - 2)*(x - 1)*(x + 25)
Let p = -37 - -63. Suppose -18 = -2*r - 2*w, -5*w - 1 = -p. Solve -3*d**5 - 12*d**r + 12*d**2 + 9*d + 15*d**3 + 8*d**3 - 29*d**3 = 0.
-3, -1, 0, 1
Solve 69*r - 164*r**2 + 34*r - 16 + 5*r - 48*r**3 = 0 for r.
-4, 1/4, 1/3
Let j(n) be the third derivative of n**2 + 0*n + 8/3*n**3 + 1/3*n**4 + 1/60*n**5 + 0. Suppose j(o) = 0. What is o?
-4
Let s be 8/68 - 539/(-187). Let l(t) be the second derivative of -3/20*t**5 - 13/24*t**4 + 0 - t**2 - s*t - 1/60*t**6 - t**3. Factor l(q).
-(q + 1)**2*(q + 2)**2/2
Factor 366/5*v**2 + 51*v - 18/5 + 93/5*v**3.
3*(v + 1)*(v + 3)*(31*v - 2)/5
Let c(g) = g. Let m be c(2). Let y(j) be the second derivative of -1/20*j**4 - 3/100*j**5 + 1/10*j**3 + 0 + m*j + 3/10*j**2. Find o such that y(o) = 0.
-1, 1
Let d(o) = -3*o**2 - 69*o + 70. Let t(p) = -20*p**2 - 485*p + 490. Let b(j) = -15*d(j) + 2*t(j). Factor b(v).
5*(v - 1)*(v + 14)
Let n be (12 + 20/4)*(-3 - -2). Let t(c) = 3*c**2 + 50*c - 13. Let f be t(n). Let 18*s**2 + 27/2*s**4 - 27*s**3 - f*s + 0 = 0. Calculate s.
0, 2/3
Determine j, given that -40 - 2*j**2 + 4*j + 4*j + j**2 + 8 + 10*j = 0.
2, 16
Let w(c) be the second derivative of -7*c + 0 - 1/9*c**3 - 1/54*c**4 + 4/9*c**2. Suppose w(m) = 0. What is m?
-4, 1
Let z = 10381/30 + -346. Let x(o) be the second derivative of z*o**6 + 0*o**2 - 1/3*o**3 - 1/12*o**4 - 4*o + 1/10*o**5 + 0. Factor x(l).
l*(l - 1)*(l + 1)*(l + 2)
Let x be (4 + (2 - 3))*1. Suppose -m**x + 0 + 6 - 21*m**2 + 24*m + 6 - 14*m**3 = 0. What is m?
-2, -2/5, 1
Let f = 3942 - 3940. What is s in 0*s - 1/3 + 1/3*s**f = 0?
-1, 1
Let r(h) be the second derivative of -17*h**5/160 + 7*h**4/24 - 5*h**3/48 - 3*h**2/8 + 195*h. Factor r(d).
-(d - 1)**2*(17*d + 6)/8
Let f(k) be the second derivative of -k**8/560 - 7*k**3/2 + 8*k. Let p(d) be the second derivative of f(d). Factor p(l).
-3*l**4
Let h = 1419 + -1416. Suppose -8/5*s - 18/5*s**2 + 32/5 - 1/10*s**4 - 11/10*s**h = 0. Calculate s.
-4, 1
Let q(f) be the first derivative of -3*f**5/5 + 3*f**4/4 + 7*f**3 - 39*f**2/2 + 18*f + 281. Factor q(g).
-3*(g - 2)*(g - 1)**2*(g + 3)
Suppose 3961*n = 3952*n + 18. What is w in 1/5*w**n + 1/5*w - 2/5 = 0?
-2, 1
Let r = 43 + -39. Factor -10*k - 5*k**r + 5*k**3 + 5*k**5 - 3*k**4 + 15*k**2 - 7*k**4.
5*k*(k - 2)*(k - 1)**2*(k + 1)
Suppose -39 - 384 = -3*h. Factor 133*c**5 - 8*c**5 + 144*c**4 - 33*c - 3*c - 156*c**3 + 67*c**5 - 3 - h*c**2.
3*(c - 1)*(c + 1)*(4*c + 1)**3
Let i(j) be the second derivative of 0*j**3 + 0*j**6 + 0*j**2 + 23*j + 0*j**4 + 3/140*j**5 - 1/98*j**7 + 0. Factor i(a).
-3*a**3*(a - 1)*(a + 1)/7
Factor -8100/7 + 180/7*y - 1/7*y**2.
-(y - 90)**2/7
Determine i, given that 7/5*i - 8/5*i**3 + 14/5*i**2 - 2 - 4/5*i**4 + 1/5*i**5 = 0.
-2, -1, 1, 5
What is n in -115*n**3 + 90 - 340*n**2 - 5*n**4 - 605*n - 375*n**2 - 90 = 0?
-11, -1, 0
Let d(c) = c + 1. Let z(y) = -y + 9. Let o(h) = 2*d(h) + z(h). Let u be o(-7). Determine l, given that 3/7*l**2 + 0*l - 3/7*l**u + 3/7*l**5 + 0 - 3/7*l**3 = 0.
-1, 0, 1
Let b(i) = i**3 - 3*i**2 + 2*i + 2. Let u = -5 + 7. Let s be b(u). Factor -3*g**2 + 5*g**s - 3*g**4 + g**2.
-3*g**2*(g - 1)*(g + 1)
Let m be 372/620 + 12/(-70). Factor -m*d - 1/7 + 4/7*d**2.
(d - 1)*(4*d + 1)/7
Factor -25*b**3 - 59*b**3 - 17*b**2 - 5*b + 23*b + 39*b**4 - 88*b**2.
3*b*(b - 3)*(b + 1)*(13*b - 2)
Let c(r) be the first derivative of -r**4/12 - 2*r**3/9 + 5*r**2/6 + 2*r + 18. Let c(s) = 0. What is s?
-3, -1, 2
Suppose -f + 1 - 7 = 5*z, 2*f + 2*z - 4 = 0. Suppose 2*w + 6 = 4*w + f*o, 3*o = -2*w + 6. Suppose 0*n**w + 1/5*n**4 + 0*n - 1/5*n**2 + 0 = 0. What is n?
-1, 0, 1
Let b(a) be the second derivative of a**7/84 + 11*a**6/60 + 9*a**5/20 - a**4/12 - 19*a**3/12 - 9*a**2/4 - 14*a. Factor b(l).
(l - 1)*(l + 1)**3*(l + 9)/2
Let j(k) be the second derivative of 3*k**2 + 10*k + 1/24*k**4 + 0*k**3 - 1/60*k**5 + 0. Let y(i) be the first derivative of j(i). Factor y(w).
-w*(w - 1)
Let a be 6/3 - (0 - 0). Let u be (-16)/(-72)*(-2 - 1)*-1. Factor 1/3*k**a + u - k.
(k - 2)*(k - 1)/3
Let z(a) be the second derivative of -a**5 + 1/6*a**6 + 0 + 0*a**2 + 10/3*a**3 - 5/12*a**4 + 16*a. Solve z(b) = 0.
-1, 0, 1, 4
Let h(t) = 5*t + 47. Suppose -4*i = -c + 11, c + i + 34 = -4*i. Let y be h(c). Let -1/3*q - 2/3 + 1/3*q**y = 0. Calculate q.
-1, 2
Find v, given that 0*v**3 + 0*v + 2*v**4 + 0 + 0*v**2 + 1/3*v**5 = 0.
-6, 0
Let l(z) be the second derivative of 2*z**6/15 - z**5 - 13*z**4/3 - 14*z**3/3 + 191*z. Let l(t) = 0. What is t?
-1, 0, 7
Let z = 321752/107 - 3007. Let a = z - -2981/535. Suppose a*g - 4/5 - 49/5*g**2 = 0. Calculate g.
2/7
Let o(h) be the first derivative of 4*h**3/3 - 12*h**2 + 20*h + 170. Find k, given that o(k) = 0.
1, 5
Let a(l) = -l**3 + 6*l**2 + 9*l - 2. Let x be a(7). Suppose b + x = 4*b. Find k, given that 24*k**2 + 8*k**3 + 32*k + 19 - 3 - 4*k**4 + 5*k**b = 0.
-2
Factor -62/11*b - 2/11*b**2 + 64/11.
-2*(b - 1)*(b + 32)/11
Let d(k) = -k**3 + 15*k - 4. Let n(q) = q - 1. Let h(m) = -d(m) + 3*n(m). Let v(i) be the first derivative of h(i). Factor v(o).
3*(o - 2)*(o + 2)
Let u(b) be the second derivative of b**8/1344 + b**7/504 - b**6/144 - b**5/24 + 13*b**4/12 + b. Let m(i) be the third derivative of u(i). Factor m(h).
5*(h - 1)*(h + 1)**2
Let l = -1589 - -1591. Let f(j) be the third derivative of -1/6*j**6 - 2/105*j**7 + 0*j**3 + 0*j + 0 + 0*j**4 - 1/5*j**5 + 1/84*j**8 - 4*j**l. Factor f(i).
4*i**2*(i - 3)*(i + 1)**2
Suppose -7*d**3 + 154*d - 15*d**3 - 222*d**2 - 26 - 4*d**3 + 8*d**3 = 0. Calculate d.
-13, 1/3
Suppose -n - 5790 = -6*n. Factor -54 - 2*m**3 - 18*m**2 - 1212*m + n*m + 0*m**3.
-2*(m + 3)**3
Let s(b) = 3*b**3 - 9*b**2 + 2*b - 3. Let k(o) be the first derivative of -o**4/4 + o**3 - o**2/2 + o + 2. Let g(r) = 14*k(r) + 4*s(r). Factor g(m).
-2*(m - 1)**3
Let n be 196/(-33)*(-10)/(60/9). Let g = n - 94/11. Let 2/11*y + g - 2/11*y**2 = 0. What is y?
-1, 2
Let z(a) be the third derivative of 0*a + 1/210*a**7 + 0*a**5 + 0*a**3 + 10*a**2 + 0*a**4 + 0 - 1/120*a**6. Factor z(j).
j**3*(j - 1)
Let y(p) = 25*p**2 + 209*p - 5018. Let a(k) = -11*k**2 - 104*k + 2508. Let s(q) = -9*a(q) - 4*y(q). Find i such that s(i) = 0.
50
Let s be (42/(17 - -4))/1. Factor 0 + 16/17*u - 8/17*u**s - 4/17*u**3 + 2/17*u**4.
2*u*(u - 2)**2*(u + 2)/17
Let 80/7*v - 44/7*v**2 - 2/7*v**3 + 2/7*v**4 + 0 = 0. Calculate v.
-5, 0, 2, 4
What is m in 52*m + 33 + 4*m**2 - 20 - 13 = 0?
-13, 0
Factor 135/4*x**2 - 81/2*x - 6*x**3 - 81/4.
-3*(x - 3)**2*(8*x + 3)/4
Let a(z) be the first derivative of 0*z + 0*z**4 - 10/3*z**3 - 5/6*z**6 + 2*z**5 + 5/2*z**2 + 2. Solve a(n) = 0 for n.
-1, 0, 1
Solve 2/9*p**4 - 2*p**2 + 16/9 + 14/9*p - 14/9*p**3 = 0.
-1, 1, 8
Let g(h) be the second derivative of -h**5/120 + 3*h**4/8 - 27*h**3/4 + 29*h**2/2 + 32*h. Let u(l) be the first derivative of g(l). Factor u(y).
-(y - 9)**2/2
Suppose -32 - 10 = 6*v. Let u be (v + (-3 - -2))/(-11 + 5). Determine p, given that 4/3*p**4 + 32/3*p**3 + u - 8/3*p**2 - 16/3*p - 16/3*p**5 = 0.
-1, 1/4, 1
Let v(b) = 4*b**2 - 5*b + 2. Let c be v(0). Factor -2/3*l**3 - 2/3*l**c + 0*l + 0.
-2*l**2*(l + 1)/3
Let w(b) = -4*b**3 - 140*b**2 + 24*b + 8. Let y(i) = -i**3 + 3*i + 1. Let c(o) = w(o) - 8*y(o). Find r such that c(r) = 0.
0, 35
Let s(t) be the first derivative of -4*t**3/15 + 54*t**2/5 - 104*t/5 + 30. Find c, given that s(c) = 0.
1, 26
Suppose 3*w - 3 = 6. Factor -4*n - 10*n**2 + 20*n**w + 8*n + 8*n - 26*n**2 + 4.
4*(n - 1)**2*(5*n + 1)
Let r be 177/54 + (-9)/6. Let b = r - 4/9. Factor -b*h + 4/3*h**2 - 8/3.
4*(h - 2)*(h + 1)/3
Find f such that 2/7*f**4 - 2*f - 2/7*f**2 + 2*f**3 + 0 = 0.
-7, -1, 0, 1
Let u(p) be the second derivative of -p**6/24 + 5*p**5/6 - 7*p**2 - 22*p. Let g(o) be the first derivative of u(o). Suppose g(a) = 0. What is a?
0, 10
What is m in 72*m**2 - 35*m**2 + 9*m - 40*m**2 = 0?
0, 3
Let l(c) be the first derivative of 1/2*c**4 + 1/5*c**5 + 0*c**3 + 0*c**2 + 0*c + 13. Suppose l(t) = 0. Calculate t.
-2, 0
Factor -1/4*v**3 + 0 + 1/4*v**4 - v**2 + v.
v*(v - 2)*(v - 1)*(v + 2)/4
Let h(k) be the first derivative of -k**5/40 + k**4/6 - k**3/3 + k - 11. Let u(g) be the first derivative of h(g). Suppose u(m) = 0. Calculate m.
0, 2
Let k(j) be the third derivative of -j**9/60480 