2, 0
Let b(s) = -597*s**3 - 18648*s**2 + 5364*s - 339. Let a(p) = -149*p**3 - 4662*p**2 + 1341*p - 86. Let c(g) = -9*a(g) + 2*b(g). Factor c(m).
3*(m + 32)*(7*m - 1)**2
Let k(w) be the third derivative of w**7/168 + 11*w**6/160 + 7*w**5/30 + w**4/8 - 2*w**3/3 + 8*w**2 + 1. Solve k(n) = 0 for n.
-4, -2, -1, 2/5
Let l(f) = f**3 + 11*f**2 - 13*f - 10. Let h be l(-12). Let q be -3 + (h - 2/(-1)). Factor -k**3 + k**2 + 2 - q - 1.
-k**2*(k - 1)
Let p(m) be the third derivative of -m**5/180 - 11*m**4/36 + 221*m**2. Determine x so that p(x) = 0.
-22, 0
Let f = -2499 + 1752. Let h be 3/(f/(-792) + 4/22). Suppose -2*u**2 - 2/3 + h*u = 0. Calculate u.
1/3, 1
Let f(w) = 22*w - 9*w**2 - 4*w - 5*w**4 + w - w - 10*w**3. Let n(a) = -4*a**4 - 10*a**3 - 8*a**2 + 18*a. Let l(q) = 2*f(q) - 3*n(q). Factor l(k).
2*k*(k - 1)*(k + 3)**2
Let a(h) be the third derivative of -24*h**2 - 1/12*h**3 + 0 + 1/168*h**7 - 1/80*h**5 + 7/480*h**6 - 7/96*h**4 + 0*h. Factor a(s).
(s - 1)*(s + 1)**2*(5*s + 2)/4
Let o be (261/12)/(2/((-64)/(-12))). Let r = 175/3 - o. Factor -r*k**4 - k**2 - 4/3*k**3 + 0*k + 0.
-k**2*(k + 1)*(k + 3)/3
Let t(m) be the first derivative of -m**3/12 - 3*m**2/4 - 9*m/4 + 626. Factor t(w).
-(w + 3)**2/4
Determine g so that -475/3*g**2 - 40/3 + 85*g**3 - 25/3*g**4 + 95*g = 0.
1/5, 1, 8
Find h such that -15/2*h + 18 - 9/4*h**2 + 3/4*h**3 = 0.
-3, 2, 4
Let x be 300/(-2160)*54/(-20). Factor 0 + 3/8*p**2 - x*p.
3*p*(p - 1)/8
Let v(n) be the third derivative of n**7/840 - n**6/360 - n**5/120 + n**4/24 - 2*n**3 - 7*n**2. Let t(u) be the first derivative of v(u). Solve t(p) = 0.
-1, 1
Let c(a) = -2*a**2 - 200*a + 162. Let p(i) = i**2 + 133*i - 109. Let h(b) = -5*c(b) - 8*p(b). Let h(j) = 0. Calculate j.
1, 31
Suppose 0*z**4 + 18/7*z**2 + 0 + 0*z - 3*z**3 + 3/7*z**5 = 0. Calculate z.
-3, 0, 1, 2
Factor 17*i**3 - 44*i**3 + 176*i + 64 + 7*i**3 + 32*i**2.
-4*(i - 4)*(i + 2)*(5*i + 2)
Let v(s) be the first derivative of -s**6/48 - 11*s**5/20 - 69*s**4/32 + 143*s**3/6 - 169*s**2/4 + 181. Factor v(p).
-p*(p - 2)**2*(p + 13)**2/8
Determine c so that 0 + 2/3*c**2 + 32/3*c = 0.
-16, 0
Suppose 58 = -3*r + 64. Let i(z) be the third derivative of 0*z + 3*z**r + 0 + 1/2*z**3 + 1/12*z**4 - 1/60*z**5. Factor i(y).
-(y - 3)*(y + 1)
Let c = 153 + -151. Let m(z) be the second derivative of 0 + 3/20*z**5 - 1/10*z**6 + 7*z + 1/4*z**4 + 0*z**c - 1/2*z**3. Factor m(j).
-3*j*(j - 1)**2*(j + 1)
Factor -2/3 - 7/3*k - 5/3*k**2.
-(k + 1)*(5*k + 2)/3
Let h(u) be the first derivative of 1/15*u**3 + 1 + 1/10*u**2 - 2/5*u. Factor h(i).
(i - 1)*(i + 2)/5
Suppose -15*f + 8 + 37 = 0. Let o(m) be the second derivative of 1/18*m**4 + 2/3*m**2 + 1/3*m**3 + 0 - f*m. Factor o(p).
2*(p + 1)*(p + 2)/3
Let v(q) be the second derivative of -7*q**5/80 - 13*q**4/48 - 5*q**3/24 + q**2/8 - 29*q - 1. What is f in v(f) = 0?
-1, 1/7
Let i(d) be the first derivative of 2*d**5/5 - 2*d**4 - 22*d**3/3 - 6*d**2 - 57. Factor i(q).
2*q*(q - 6)*(q + 1)**2
Let p(q) = 3*q**2 - 2*q + 1. Let x(v) = 22*v**2 + 232*v + 478. Let g(w) = 6*p(w) - x(w). Solve g(j) = 0 for j.
-59, -2
Let b(s) be the second derivative of -s**4/18 - 16*s**3/9 - 55*s**2/3 - 235*s - 2. Factor b(y).
-2*(y + 5)*(y + 11)/3
Suppose 4*j - 10 = -2*v, -5*v = j - 3 - 4. Solve 3/5*l**j - 3/5*l - 18/5 = 0.
-2, 3
Suppose 4*y = 2*s - 4*s - 2, y - 3 = 3*s. Let k = 5 - s. Determine m so that -4*m**2 + 3*m + 7*m**2 - k*m**2 = 0.
0, 1
Let i(k) be the third derivative of k**9/453600 - k**8/16800 + k**7/1575 - 2*k**6/675 - k**5/6 + 3*k**2. Let r(g) be the third derivative of i(g). Factor r(v).
2*(v - 4)**2*(v - 1)/15
Let s(c) be the third derivative of c**7/280 + c**6/20 - 9*c**5/80 + 120*c**2. Factor s(p).
3*p**2*(p - 1)*(p + 9)/4
Suppose 17*d - 130 = 4*d. Let k be (5/(-20))/(d/(-48) - 0). Factor 4/5 - k*q**2 - 2/5*q**3 + 2/5*q + 2/5*q**4.
2*(q - 2)*(q - 1)*(q + 1)**2/5
Solve -184/5 + 5568/5*u**4 - 256/5*u**5 - 1564*u**2 + 7696/5*u**3 + 2124/5*u = 0.
-2, 1/4, 23
Let s(m) = 3*m**2 + 7*m. Let f(u) = u**2 + 3*u. Let j = 8 - 2. Suppose -d + 4*l = -3*d + j, 9 = -d + l. Let q(x) = d*f(x) + 2*s(x). Solve q(w) = 0 for w.
0, 1
Let c(q) be the second derivative of 5*q**8/336 - q**7/21 + q**6/24 - 27*q**2/2 - 12*q. Let r(y) be the first derivative of c(y). Factor r(u).
5*u**3*(u - 1)**2
Let r be (18/(-15))/(169 + -175). What is n in -1/5*n**5 + r*n**3 + 0 - 1/5*n**4 + 1/5*n**2 + 0*n = 0?
-1, 0, 1
Let c(a) be the second derivative of a**7/13860 - a**6/3960 - a**5/330 + a**4/2 - 8*a. Let v(w) be the third derivative of c(w). Factor v(u).
2*(u - 2)*(u + 1)/11
Let p(v) = v**3 - 4*v**2 - 5*v + 2. Let w be p(5). Let q be ((-6)/(-14))/3 - 3148/(-16527). Factor -q*d**3 + d + 0*d**w - 2/3.
-(d - 1)**2*(d + 2)/3
Let c be ((-186)/30 + 6)*(-1)/((-3)/(-20)). Let 0 + 2/3*a**2 + c*a = 0. What is a?
-2, 0
Suppose 0 = -s - 38 + 119. Let j = -161/2 + s. Determine t, given that -j*t - 1/2*t**3 + 0 - t**2 = 0.
-1, 0
Let t(i) be the third derivative of 3*i**5/160 + 13*i**4/64 + i**3/4 - 10*i**2 - i. Solve t(z) = 0 for z.
-4, -1/3
Suppose 43 = 13*k - 9. Suppose 3422 + 24*q**2 - 3422 - k*q**3 = 0. Calculate q.
0, 6
Let k be (-8 - 7/(-2))*1/(-9). Let s(h) be the first derivative of -1/4*h**2 + 1/6*h**3 - 1 + 1/8*h**4 - k*h. Find u such that s(u) = 0.
-1, 1
Let x(a) be the first derivative of -a**3 - 9*a**2/2 + 12*a + 160. Find q, given that x(q) = 0.
-4, 1
Let k(l) be the third derivative of -l**5/12 + 65*l**4/12 - 125*l**3/6 - 93*l**2. Factor k(b).
-5*(b - 25)*(b - 1)
Factor -257*t**2 - 45*t**2 - 125 - 36*t**2 + 18*t**2 + 400*t.
-5*(8*t - 5)**2
Let y(a) be the third derivative of 2/3*a**3 + 1/20*a**6 + 0*a + 1/4*a**4 - 4/15*a**5 - 6*a**2 + 0. Find v such that y(v) = 0.
-1/3, 1, 2
Let 123/2*t - 3/4*t**2 - 5043/4 = 0. Calculate t.
41
Factor 0*b - 16/3*b**2 - 2/3*b**3 + 0.
-2*b**2*(b + 8)/3
Let q = -51 + 72. Let m = -13 + q. Factor m*c**2 + 19*c**2 - 60*c + 18 + 23*c**2.
2*(5*c - 3)**2
Suppose 207 = 94*k - 33*k + 85. Factor 4/7*h**k + 0 - 4/7*h.
4*h*(h - 1)/7
Suppose 4*g = -2*m + 8, -12*m + 2*g - 6 = -14*m. Let l(z) be the second derivative of 0*z**m + 0 + 8*z - 2/3*z**4 + 2/5*z**5 + 0*z**3 - 1/15*z**6. Factor l(d).
-2*d**2*(d - 2)**2
Let i(u) be the first derivative of u**3/3 - 5*u**2/2 - 24*u + 43. Factor i(y).
(y - 8)*(y + 3)
Factor -18 + 20*k**3 - 6 - 4*k**4 + 3851*k**2 - 3823*k**2 - 20*k.
-4*(k - 6)*(k - 1)*(k + 1)**2
Let r be ((-1)/(-32))/((-25)/(-100)). Let l(x) be the first derivative of 1/16*x**4 + 1/6*x**3 + r*x**2 + 9 + 0*x. Factor l(m).
m*(m + 1)**2/4
Let m(q) be the second derivative of q**4/30 + 38*q**3/3 + 1805*q**2 - 443*q. Suppose m(i) = 0. What is i?
-95
Let n(q) be the first derivative of q**4/22 + 10*q**3/33 + 8*q**2/11 + 8*q/11 + 263. What is r in n(r) = 0?
-2, -1
Let s(r) be the second derivative of r**5/20 - 2*r**3 - 8*r**2 - 11*r. Find k, given that s(k) = 0.
-2, 4
Let 2/3*y**3 - 1/2 - 2/3*y + 1/6*y**4 + 1/3*y**2 = 0. Calculate y.
-3, -1, 1
Let q(y) be the first derivative of -2 - 4/9*y**2 + 2/27*y**3 + 2/3*y. Suppose q(u) = 0. Calculate u.
1, 3
Suppose -3/7*s**3 - 15/7*s + 12/7*s**2 + 6/7 = 0. Calculate s.
1, 2
Suppose w = 2*w - 2. Factor -139*b**2 - 8 + 71*b**w - 12*b + 76*b**2 + 12*b**3.
4*(b - 1)*(b + 1)*(3*b + 2)
Let p(u) be the first derivative of 4*u**3/3 - 36*u**2 - 76*u + 169. Solve p(s) = 0 for s.
-1, 19
Let q = -2/335 - -136/335. What is k in -q*k**2 + 0 + 6/5*k = 0?
0, 3
Let d(t) be the third derivative of 2*t**7/105 - 11*t**5/15 - 3*t**4 - 16*t**3/3 - 24*t**2 - 2. Suppose d(l) = 0. What is l?
-2, -1, 4
Let c(u) = 2. Let q(w) = -w**3 - 18*w**2 - w - 20. Let k be q(-18). Let p(l) = -l**2 + 2*l - 2. Let d(n) = k*p(n) - 2*c(n). Factor d(t).
2*t*(t - 2)
Let v(m) be the second derivative of -m**7/42 + m**6/30 + 3*m**5/20 - m**4/12 - m**3/3 - 12*m. Factor v(g).
-g*(g - 2)*(g - 1)*(g + 1)**2
Let a(p) be the first derivative of 4*p**3/27 - 32*p**2/3 - 187. Factor a(q).
4*q*(q - 48)/9
Let n(c) be the first derivative of c**6/1080 + c**5/30 + c**4/2 - 3*c**3 + 30. Let m(f) be the third derivative of n(f). Factor m(l).
(l + 6)**2/3
Let t = -493/5 + 3456/35. Find s, given that 3/7 - 2/7*s - t*s**2 = 0.
-3, 1
Let o be 8/3 + 10*14/(-70). Solve 2/3*n**3 + 0 + 2/3*n**2 + 0*n - o*n**5 - 2/3*n**4 = 0 for n.
-1, 0, 1
Let j(h) be the second derivative of 1/150*h**5 + 0*h**3 + 25*h + 0*h*