+ 3)/6
Let a(w) be the third derivative of 0*w + 7*w**2 + 7/300*w**5 - 4/3*w**3 + 0 - 1/1800*w**6 - 49/120*w**4. Let k(i) be the first derivative of a(i). Factor k(t).
-(t - 7)**2/5
Let z(g) be the second derivative of 1/10*g**5 - 17*g**2 - 69 + 2*g - 11*g**3 - 5/2*g**4. Find p such that z(p) = 0.
-1, 17
Suppose -1/5*c**2 + 40 - 46/5*c = 0. Calculate c.
-50, 4
Suppose 10*p - 206 = -36. Solve -p + 20 - 160*b**2 - 35 - 82*b**2 - 176*b = 0 for b.
-4/11
Let o(u) be the second derivative of u**4 + 146*u**3/3 - 1020*u**2 + 1828*u. Factor o(z).
4*(z + 30)*(3*z - 17)
Let z(j) be the third derivative of j**6/6 + 1147*j**5/12 + 4285*j**4/24 - 715*j**3/3 - 1652*j**2. Factor z(i).
5*(i + 1)*(i + 286)*(4*i - 1)
Let h = 87025 - 87025. What is r in h - 1/5*r**2 - 2/5*r = 0?
-2, 0
Let m(a) be the third derivative of 0 - 19*a**2 + 0*a**3 - 1/96*a**4 - 1/160*a**6 + 0*a + 1/840*a**7 + 1/80*a**5. Determine d so that m(d) = 0.
0, 1
Let z(l) = -3*l. Let v be z(-1). Let s = -330 + 333. Factor -v*g**3 + 2*g**2 + 2*g - 2 + s*g + g**3 - 3*g.
-2*(g - 1)**2*(g + 1)
Let s(w) be the first derivative of w**6/120 - w**5/30 - w**4/8 - w**2 + 19*w - 62. Let r(x) be the second derivative of s(x). Factor r(n).
n*(n - 3)*(n + 1)
Suppose 0*u + 2*u = -5*u. Let k = -2714 + 2716. Suppose -8/5*s**k - 12/5*s**3 + 0 + 0*s**4 + 4/5*s**5 + u*s = 0. Calculate s.
-1, 0, 2
Let x = 126 - 126. Let n = 187 + -185. Factor 4/3*r + 6*r**n + x.
2*r*(9*r + 2)/3
Determine y, given that 9*y**5 - 72/5 - 216/5*y**3 - 309/5*y - 90*y**2 + 42/5*y**4 = 0.
-1, -3/5, 8/3
Determine x so that -16*x**3 - 1741659 - 2*x**3 + 7*x**3 - x**3 - 51452*x**2 - 55143680*x + 20128603 = 0.
-2144, 1/3
Solve -188/3*r**3 + 112*r**2 + 4/3*r**5 + 8*r**4 + 0 - 176/3*r = 0 for r.
-11, 0, 1, 2
Let a be 36/27*6 - -44. Find r such that -133*r - 1545*r**2 + 1761*r**2 + 48*r - a*r**3 + 32 - 155*r = 0.
2/13, 2
Factor 0 - 236/3*f**2 + 5/9*f**3 - 284/9*f.
f*(f - 142)*(5*f + 2)/9
Let o(i) be the second derivative of i**5/30 + i**4/2 - i**3 - 27*i**2 - 679*i + 6. Find j such that o(j) = 0.
-9, -3, 3
Let m(r) = 5*r**3 + 86*r**2 - 458*r - 557. Let g(s) = -28*s**3 - 428*s**2 + 2288*s + 2784. Let y(a) = -3*g(a) - 16*m(a). Factor y(i).
4*(i - 14)*(i - 10)*(i + 1)
Let c be 32/(-32) + 8*(1 + 1). Determine w, given that -992*w**3 + 143 - 96*w + 990*w**3 - c + 24*w**2 = 0.
4
Let g = -22 - -22. Let k(c) = c + 8. Let v be k(g). Factor 7*l**2 + 2 - 6*l**2 - 5*l - v + 3*l**2.
(l - 2)*(4*l + 3)
Let h = 188999 + -566996/3. Factor 2/3*j**3 - 2/3*j + 0 - h*j**4 + 1/3*j**2.
-j*(j - 2)*(j - 1)*(j + 1)/3
Suppose 3*z = 19*z - 64. Find t, given that 94 + 3*t**5 + 781*t + 2160*t**2 + 552*t**3 + 1672 + 66*t**z + 826 + 3107*t = 0.
-6, -2
Suppose -2*a - 124 = -33*a. Let z be a - (12/(-2) + 8) - 0. Solve -2*y + 1/5*y**z + 5 = 0.
5
Let i = -589 - -685. Let o be ((-6)/(-8))/(18/i). What is m in 1/9 + 2/3*m**5 - 2/9*m**3 + 11/9*m**o - 4/9*m - 4/3*m**2 = 0?
-1, 1/6, 1
Suppose 4*p = p + 165. Let x = p - 51. What is y in -1049 + 1049 + x*y**2 + 4*y = 0?
-1, 0
Let n(u) = u**2 - 15*u - 14. Let q be n(16). Suppose -8 + 15*r - 2*r**q + 0*r - 10*r**3 + r + 2*r**4 + 2*r**5 = 0. Calculate r.
-2, 1
Let b(r) = -r**2 - 3*r - 3. Let k be b(6). Let z = -54 - k. Find w such that -5*w**2 - 5*w**z + 23 + 21*w - w - 3 = 0.
-2, -1, 2
Suppose 0 = -3*t + 116 + 16. Suppose 3*b - 19 = 5. What is i in 16*i**5 - 39*i**4 - t*i**5 + 44*i - 25*i**4 - 16*i**3 + b + 56*i**2 = 0?
-1, -2/7, 1
Suppose -4/5*i**3 - 816/5 - 112/5*i + 28*i**2 = 0. What is i?
-2, 3, 34
Let c = -165/67 + 5017/2010. Let t(u) be the second derivative of -c*u**4 - 22*u - 2/5*u**2 + 1/5*u**3 + 0. Find q, given that t(q) = 0.
1, 2
Suppose 0 = p + 448 - 454. Let t be 2/p*(-60)/(-16). Factor -t*x + 1/4*x**3 + 1/2 + 3/4*x**2 - 1/4*x**4.
-(x - 1)**3*(x + 2)/4
Let f(g) be the third derivative of g**5/150 - 23*g**4/15 + 77*g**3 + 1510*g**2 - 2*g. Find o such that f(o) = 0.
15, 77
Let w = 145/62 - 2921/1302. Let z(y) be the first derivative of w*y**3 + 12/7*y + 16 + 5/7*y**2. Solve z(g) = 0.
-3, -2
Determine y, given that 18 + 1/2*y**2 - 15/2*y = 0.
3, 12
Let a(w) be the first derivative of -2*w**3/21 + 176*w**2 - 108416*w - 11512. Factor a(n).
-2*(n - 616)**2/7
Let a be 909/1212 + 21/12 + (-2)/2. Solve -a*g**3 - 3/2*g**4 + 3/2*g**2 + 0*g + 3/2*g**5 + 0 = 0 for g.
-1, 0, 1
Let j(s) be the first derivative of s**7/1120 - s**6/240 + 26*s**3 + 24. Let x(y) be the third derivative of j(y). Suppose x(f) = 0. What is f?
0, 2
Suppose 5*d - 6*d + 2 = 0. Suppose -3*a + 82 = c, -d*c - 3*a - a = -166. What is i in 4*i**3 + 132*i - 67*i - 8*i**2 - c*i + 24 = 0?
-2, 1, 3
Let h = 892 + -8020/9. Suppose 12*p = 81*p - 138. Determine a so that 2/3 + h*a + 2/9*a**p = 0.
-3, -1
Suppose -253 - 225 = -239*t. Let i(o) be the first derivative of -3/7*o**t - 8/7*o + 15 - 1/21*o**3. Factor i(u).
-(u + 2)*(u + 4)/7
Let m = -1267/9 - -2561/18. Find j such that 45/2*j**3 + 312*j - 288 - m*j**4 - 126*j**2 = 0.
3, 4
Let n be (-270)/(-5130) - 4/19*188/(-8). Factor -1/2*q**2 - 4*q**4 + 0 - 5/2*q**3 - 2*q**n + 0*q.
-q**2*(q + 1)*(2*q + 1)**2/2
Let a(h) = -3*h. Let q be a(-1). Solve 4340*i**q + 4*i**4 + 2*i**4 - 4319*i**3 + 12*i**2 - 3*i**5 = 0.
-1, 0, 4
Let k = -2/5079 - -50812/55869. Let a(t) be the first derivative of -9/11*t**2 - k*t - 8/33*t**3 - 19. Factor a(x).
-2*(x + 1)*(4*x + 5)/11
Let b(v) be the first derivative of v**4/6 + 32*v**3/3 - 4*v**2/3 - 128*v + 1900. Determine s, given that b(s) = 0.
-48, -2, 2
Let s(n) be the third derivative of n**7/350 + 11*n**6/200 + 3*n**5/10 + 59*n**2 - 2*n - 3. Factor s(b).
3*b**2*(b + 5)*(b + 6)/5
Suppose -4*r - 30 + 50 = 0. Factor 12*d**4 + 461 - 3*d**r - 461.
-3*d**4*(d - 4)
Let u be 28/(-5) - (-35)/(1155/198). Let w(t) be the second derivative of 0*t**2 - u*t**4 - 1/10*t**5 + 0 - 4/15*t**3 - 2*t. Factor w(a).
-2*a*(a + 2)*(5*a + 2)/5
Let v(m) be the third derivative of -m**7/1890 + m**6/108 - 2*m**5/45 + 37*m**4/12 + 2*m**2 + m. Let b(f) be the second derivative of v(f). Factor b(n).
-4*(n - 4)*(n - 1)/3
Suppose 43*r - 616 = 87*r. Let v be (0 + -5 + 4)*(r - -14). What is z in 1/6*z**4 - 1/6*z**2 + v*z - 1/6*z**5 + 0 + 1/6*z**3 = 0?
-1, 0, 1
Let p(w) be the first derivative of 4*w**3/3 - 94*w**2 + 840*w + 213. Factor p(z).
4*(z - 42)*(z - 5)
Find r, given that 64 + 92/3*r - 4/3*r**4 + 202/3*r**3 - 482/3*r**2 = 0.
-1/2, 1, 2, 48
Let j(g) be the second derivative of -g**4/4 + 47*g**3/2 - 220*g - 2. Determine n so that j(n) = 0.
0, 47
Let f(u) be the third derivative of -u**7/490 + 17*u**6/40 + u**5/140 - 17*u**4/8 - 1180*u**2 - 4. Let f(y) = 0. Calculate y.
-1, 0, 1, 119
Let y(q) = 4*q**3 - 3*q**3 - 40*q - 66 - 2*q + 25. Let h be y(-1). Determine b, given that -2/13*b - 2/13*b**2 + h = 0.
-1, 0
Let a = 11107/634 + -6/317. Let b be (34 + -43)*((-312)/36 + 7). Factor 15/2 + b*x**3 - a*x + 5/2*x**5 + 5*x**2 - 25/2*x**4.
5*(x - 3)*(x - 1)**3*(x + 1)/2
Let o(h) = 495*h**3 - 1889*h**2 + 1224*h - 156. Let w(b) = -495*b**3 + 1891*b**2 - 1226*b + 154. Let s(g) = 13*o(g) + 12*w(g). Factor s(k).
5*(k - 3)*(9*k - 2)*(11*k - 6)
Let d(q) be the third derivative of -q**5/12 + 255*q**4/8 + 385*q**3/3 + 423*q**2. Find f such that d(f) = 0.
-1, 154
Let 2/5*x**2 - 932/5*x + 108578/5 = 0. What is x?
233
Suppose 26*a - 24*a + 390 = -4*v, 4*v + 383 = 5*a. Let y be 4*(7 + v/14). Factor 8/7*f**4 + 8/7*f**2 + 12/7*f**3 + y*f + 0 + 2/7*f**5.
2*f*(f + 1)**4/7
Let y be 17/(-51)*3 - (-1 + -1 - -1). Let h(x) be the first derivative of -5 + y*x + 4/3*x**3 - 2*x**2. Let h(s) = 0. Calculate s.
0, 1
Let p(h) = -3*h**5 - h**4 + h**3 + h**2 + 1. Let y(f) = -10*f**5 + 32*f**4 + 70*f**3 + 36*f**2 + 4. Let m(t) = 4*p(t) - y(t). Let m(n) = 0. Calculate n.
-16, -1, 0
Let d(y) be the third derivative of y**7/315 - 43*y**6/90 - y**5/90 + 43*y**4/18 + 527*y**2 + y. Suppose d(x) = 0. Calculate x.
-1, 0, 1, 86
Let x(l) be the first derivative of -l**6/120 - l**5/40 - l**4/48 + 15*l - 51. Let h(t) be the first derivative of x(t). Determine c so that h(c) = 0.
-1, 0
Let q = -1444/5 - -290. Let x = 153102 - 153102. Factor x + q*d + 3/5*d**2.
3*d*(d + 2)/5
Let y(i) = 41*i**2 - 11632*i + 4227902. Let m(a) = 22*a**2 - 5816*a + 2113936. Let h(k) = -11*m(k) + 6*y(k). Factor h(r).
4*(r - 727)**2
Let n = 199/14 + -96/7. Let z = 344 + -342. Factor n*b - 1/4*b**z + 0.
-b*(b - 