ulate s.
-1/4, 0, 1
Let o be (-4 + 44/8)/((-3)/(-4)). Let q(t) be the first derivative of 274 - 4*t**3 - 271 - t**4 - 500*t - 150*t**o - 16*t**3. Factor q(d).
-4*(d + 5)**3
Let t = -27917 - -27921. Let d(z) be the third derivative of 0*z + 11/18*z**t + 0 + 1/90*z**6 - 46*z**2 + 4/15*z**5 + 0*z**3. Factor d(q).
4*q*(q + 1)*(q + 11)/3
Let q(h) be the second derivative of -1/45*h**6 - 1/18*h**5 + 0*h**2 + 0 + 1/27*h**4 - 135*h + 0*h**3. What is s in q(s) = 0?
-2, 0, 1/3
Let k(i) = 16*i + 930. Let n be k(-58). Let q(z) be the first derivative of 4/5*z**3 + 6/25*z**5 + 0*z - 1/30*z**6 - 10 - 2/5*z**n - 13/20*z**4. Factor q(b).
-b*(b - 2)**2*(b - 1)**2/5
Let s(m) = 6*m**3 + 3*m**2 - 75*m + 281. Let r(o) = -2*o**3 + 26*o - 94. Let b(k) = 7*r(k) + 2*s(k). Solve b(z) = 0.
-4, 3, 4
Suppose 0 = -4*r - 8, -4*x = -8*x + 2*r + 244. Suppose 72*k + x = 102*k. Find o such that -176/7*o + 172/7*o**2 + 64/7 + k*o**4 - 73/7*o**3 - 1/7*o**5 = 0.
1, 4
Factor 1037*m**2 - 5*m + 263 - 29 - 37*m - 1039*m**2 - 30*m.
-2*(m - 3)*(m + 39)
Let c(h) be the third derivative of -h**8/1344 + h**7/420 + 11*h**6/240 - 17*h**5/60 + h**4/32 + 15*h**3/4 - 330*h**2 - 6*h. Suppose c(p) = 0. Calculate p.
-5, -1, 2, 3
Suppose -42*m - 51 = -219. Suppose -90/11*w**5 + 384/11*w**m - 432/11*w**3 + 0*w**2 + 0 + 96/11*w = 0. Calculate w.
-2/5, 0, 2/3, 2
Suppose 5*v - 4*v = 4*k - 22, 5*k - v - 27 = 0. Let 36*m**3 + 506*m**4 + 9*m - 1008*m**4 - 3*m**k + 42*m**2 + 6*m + 508*m**4 = 0. What is m?
-1, 0, 5
Let b = 17451 + -732937/42. Let f(r) be the second derivative of -5/4*r**5 + 5/6*r**4 + 0 + 0*r**2 + 0*r**3 - b*r**7 + 2/3*r**6 + 34*r. Factor f(z).
-5*z**2*(z - 2)*(z - 1)**2
Let s(y) be the third derivative of -y**8/1680 - y**7/280 - y**6/180 + 19*y**3/3 - 57*y**2. Let v(q) be the first derivative of s(q). Factor v(f).
-f**2*(f + 1)*(f + 2)
Let l = -407 + 418. Let v be l/15 + -8 + 342/45. Determine y so that 1/3 - 2/3*y**2 + 1/3*y + v*y**4 - 2/3*y**3 + 1/3*y**5 = 0.
-1, 1
Let q(s) be the third derivative of 13/660*s**5 + 0 + 0*s - 1/770*s**7 - 3/11*s**3 + 18*s**2 + 1/120*s**6 - 17/88*s**4. Suppose q(m) = 0. Calculate m.
-2, -1/3, 3
Solve -93/7*l**2 - 80/7 - 13/7*l**3 + 4/7*l**4 + 344/7*l = 0.
-5, 1/4, 4
Let b(l) = -67*l**2 - 2845*l. Let v(t) = -567*t**2 - 22760*t. Let i(h) = 17*b(h) - 2*v(h). Factor i(f).
-5*f*(f + 569)
Let h(v) = -32*v - 1660. Let c be h(-52). Let j(k) be the first derivative of 17 + 1/14*k**c + 2/21*k**3 - 2/7*k**2 + 0*k. Factor j(m).
2*m*(m - 1)*(m + 2)/7
Suppose -5*v - 4*f = -26, 2*v = 4*f - 0 - 12. Factor 69*k**2 - k + 3*k**3 - 66*k**2 - v*k - 12 - 9*k.
3*(k - 2)*(k + 1)*(k + 2)
Let b(g) be the first derivative of 3*g**2/2 + 20*g + 10. Let s be b(-6). Factor -10*u - 3*u**5 + 29*u**s - 9*u**4 + 10*u - 17*u**2.
-3*u**2*(u - 1)*(u + 2)**2
Let d(h) be the first derivative of 23*h**3/2 - 141*h**2/2 + 12*h + 2332. Suppose d(r) = 0. What is r?
2/23, 4
Let o(q) = 2*q**2 - 8*q + 2. Let i(r) = -5*r**2 - 62*r + 591. Let k(v) = -2*i(v) - 4*o(v). Determine b, given that k(b) = 0.
-85, 7
Let t(z) be the third derivative of 7*z**8/32 + 3*z**7/4 + 23*z**6/80 - 89*z**5/40 - 9*z**4/2 - 4*z**3 + 57*z**2 - 14. Let t(b) = 0. Calculate b.
-1, -4/7, 1
Let m be (-2)/4*(-41 - 76/(-4)). Let u(s) be the third derivative of -1/15*s**5 + 1/2*s**4 + 0*s + 0 - 4/3*s**3 + m*s**2. Factor u(y).
-4*(y - 2)*(y - 1)
Factor 1408*g + 8495 - 301*g**2 - 17535 + 20*g**3 + 8576 - 327*g**2.
4*(g - 29)*(g - 2)*(5*g - 2)
Let s(h) = -9*h**3 - 162*h**2 + 12*h + 30. Let r(j) = j**3 - j**2 - 2*j - 5. Let w(i) = 6*r(i) + s(i). What is k in w(k) = 0?
-56, 0
Let z(f) be the first derivative of -f**4 - 10*f**3/3 + 24*f**2 + 9*f + 169. Let k(h) be the first derivative of z(h). Determine d so that k(d) = 0.
-3, 4/3
Factor 0*v - 2/15*v**4 + 0 - 26/5*v**3 - 72/5*v**2.
-2*v**2*(v + 3)*(v + 36)/15
Let c(p) be the second derivative of 1/20*p**3 - 13 - 1/10*p**2 + 2*p - 1/120*p**4. Factor c(u).
-(u - 2)*(u - 1)/10
Let k(i) be the second derivative of -i**4/126 - 212*i**3/63 - 4533*i. Let k(c) = 0. What is c?
-212, 0
Let m(l) be the second derivative of l**7/147 - l**6/15 + l**5/5 - l**4/21 - 5*l**3/7 + 9*l**2/7 - 17*l - 3. Determine i so that m(i) = 0.
-1, 1, 3
Let m = -2471 - -2473. Suppose 8 = -2*l, 0*b - l = 2*b - 2. Factor m*w**2 + 2/9*w**4 - 4/3*w**b + 0 + 0*w.
2*w**2*(w - 3)**2/9
Let f be 9/(54/60) + -8. Let -127*b + 3*b**f - 35*b + 8*b**2 - 9*b**2 - 5*b**2 = 0. What is b?
-54, 0
Factor 0 - 16*v + 1/2*v**4 + 15/2*v**3 - 9*v**2.
v*(v - 2)*(v + 1)*(v + 16)/2
Find l, given that -2/7*l**3 - 436*l**2 - 12176/7 - 12184/7*l = 0.
-1522, -2
Let f(l) = l**3 - 11*l**2 + 170. Let t be f(0). Let h be ((-374)/t)/(3/(-6)). Factor 0*u + 26/5*u**4 + 0 + h*u**3 - 4/5*u**2.
2*u**2*(u + 1)*(13*u - 2)/5
Determine s so that 48/19 + 10/19*s - 2/19*s**2 = 0.
-3, 8
Let z be -3*(0 - (-1 + 2)). Let i = 844 + -3373/4. Find x such that -3/4*x - 3/4*x**4 + i*x**2 + 0 + 3/4*x**z = 0.
-1, 0, 1
Suppose -14*u - 414 = -37*u. Suppose -j + 5*s = -u, -2*s = -3*j - 2*j + 21. Suppose 1/3*v**j + 1/6*v**4 + 0 + 1/6*v**2 + 0*v = 0. What is v?
-1, 0
Suppose 3*b + 2*w = 8, 3*b - 72 = -4*w - 56. Let i(z) be the second derivative of -10*z + 0*z**3 - 8/5*z**2 + b + 1/15*z**4. Factor i(s).
4*(s - 2)*(s + 2)/5
Let l(y) be the second derivative of y**6/40 - 11*y**5/80 + 5*y**4/48 + y**3/8 - 48*y + 12. Solve l(q) = 0.
-1/3, 0, 1, 3
Let v(d) be the first derivative of -d**6/4 + 73*d**5/20 - 4*d**4 - 49*d**3/4 + 5*d**2 + 11*d + 157. Let v(q) = 0. Calculate q.
-1, -1/2, 2/3, 2, 11
Let i(v) be the third derivative of v**5/15 - 13*v**4/6 - 76*v**3 + 315*v**2 - 5*v. Factor i(a).
4*(a - 19)*(a + 6)
Let z(c) = 122*c - 4. Let o be z(2). Suppose 8*k - 6*k - o = 0. Factor 340*v + 130*v**2 - 50*v**4 - k - 287*v**2 - 181*v**2 - 32*v**2 + 5*v**5 + 195*v**3.
5*(v - 3)*(v - 2)**3*(v - 1)
Solve -50*f**2 - 1805*f + 2 - 2*f**5 + 18 - 11*f**2 + f**4 + 43*f**3 + 896*f + 908*f = 0 for f.
-5, -1/2, 1, 4
Let d(v) be the first derivative of -v**5/60 - v**4/8 - v**2 + 25*v + 47. Let t(b) be the second derivative of d(b). Factor t(y).
-y*(y + 3)
Let g = 241468 + -482909/2. Suppose g*r + 0*r**2 + 0 - 3/2*r**3 = 0. Calculate r.
-3, 0, 3
Let h(o) be the first derivative of -14*o + 0*o**2 + 39 + 1/60*o**5 + 1/6*o**3 - 1/9*o**4. Let m(c) be the first derivative of h(c). Let m(d) = 0. What is d?
0, 1, 3
Determine k so that -1156/11 - 442/11*k + 2/11*k**4 - 70/11*k**3 + 642/11*k**2 = 0.
-1, 2, 17
Let g = 37 - 28. Suppose 2*w = -3*b - g, -2*b - 19 = -3*w - 0. Determine o, given that 0*o**2 - 5*o + 4*o + 0*o**w + o**4 - 3*o**3 + 3*o**2 = 0.
0, 1
Let d(m) be the third derivative of -1/36*m**4 - 7 - 4/5*m**3 + 1/450*m**5 + 0*m + 20*m**2. Factor d(h).
2*(h - 9)*(h + 4)/15
Let g be (-112)/70 - (-2450)/1375. Determine h so that -2/11*h**5 + 0*h - g*h**3 + 0 - 4/11*h**4 + 0*h**2 = 0.
-1, 0
Let s be -96 + (5/5 - -2). Let j = -81 - s. Solve 3*a**3 - 16 + 52*a**2 - 16*a + a**3 + 4*a**3 - j*a**4 - 16*a = 0 for a.
-2, -1/3, 1, 2
Let n(v) be the second derivative of -1/135*v**6 - 23*v + 1/45*v**5 - 2/27*v**3 + 1/9*v**2 + 0 + 0*v**4. Find x such that n(x) = 0.
-1, 1
Let g = -91 - -95. Suppose -j = -g, 0 = -5*b - 4*j - 0*j + 26. Factor -17/2*n + 3/2 + 9/2*n**3 + 21/2*n**b.
(n + 3)*(3*n - 1)**2/2
Suppose -74 = 2*w + 3*p - 93, 5*w + 5 = 3*p. Let u(k) be the first derivative of -24 - 1/4*k**3 - 33/4*k**w - 363/4*k. Factor u(g).
-3*(g + 11)**2/4
Suppose -5*q + 981 = v, -5*v + 640 = 3*q + 47. Let -3756*b**3 + 46 + 566*b**4 - 1397*b - 583*b + 4952*b**2 - 24*b**5 + q = 0. What is b?
1/4, 1/3, 1, 11
Let s be (-3 + 1)/((-18)/27) + 1. Let n be -3 - (s/16 + (-399)/12). Factor n*x**2 - 14*x**2 - 3*x**2 + 7*x**2 + 5*x**3 - 25*x.
5*x*(x - 1)*(x + 5)
Let y(p) = 30*p**3 + 10*p**2 - 115*p - 82. Let s(u) = 14*u**3 + 4*u**2 - 56*u - 40. Let w(t) = 13*s(t) - 6*y(t). Factor w(h).
2*(h - 7)*(h + 1)*(h + 2)
Let i(r) be the third derivative of 0*r + 1/48*r**4 - 1/80*r**5 + 1/840*r**7 + 0*r**6 + 0 + 0*r**3 + 28*r**2. Factor i(n).
n*(n - 1)**2*(n + 2)/4
Let n(b) be the third derivative of b**8/336 - 59*b**7/105 + 3593*b**6/120 - 319*b**5/3 - 841*b**4/2 + 55*b**2 - 5*b. Let n(l) = 0. What is l?
-1, 0, 3, 58
Factor 2/9*w - 16/9*w**2 + 16/9 - 2/9*w**3.
-2*(w - 1)*(w + 1)*(w + 8)/9
Let z(y) be the second derivative of 0*y**2 + 1/48*y**4 + y**3 + 76 + y