= 0. What is p?
-14, -13, -1
Let q(a) be the first derivative of 2*a**5/5 - 85*a**4/2 + 4012*a**3/3 - 8480*a**2 + 19200*a + 2944. Solve q(d) = 0.
2, 3, 40
Let w(j) = 2*j**3 - 8*j**2 + 2*j - 19. Let c be w(7). Solve -16*m - 16 - 273*m**3 + 5*m**4 - m**4 + 0*m**4 + c*m**3 + 12*m**2 = 0.
-2, -1, 1
Let y(l) = 8*l**2 + 6*l - 6. Let u be y(22). Let 4*f**2 + 2*f**3 - u*f + 4*f**2 + 4006*f = 0. What is f?
-2, 0
Let w(i) be the second derivative of -i**7/840 - i**6/60 - 3*i**5/40 + i**4/3 - 2*i**3/3 - 89*i. Let g(x) be the third derivative of w(x). Factor g(d).
-3*(d + 1)*(d + 3)
Let k = -75623 - -228913/3. Let s = -680 + k. Factor -2/9*b**3 + s*b**2 - 2*b + 0.
-2*b*(b - 3)**2/9
Suppose -87*h**3 + 446*h - 98*h**2 + 593*h**4 + 622*h**4 - 264 + h**3 - 1213*h**4 = 0. Calculate h.
-3, 1, 44
Let y(z) be the third derivative of z**7/105 - 4*z**6/15 + 2*z**5 + 3958*z**2. Factor y(h).
2*h**2*(h - 10)*(h - 6)
Let -14*u**4 - 588 - 241*u**2 + 16*u**4 + 1190*u + 10*u**3 + 22*u**2 - 395*u**2 = 0. Calculate u.
-21, 1, 14
Let t(y) = -y**3 - 457*y**2 - 49281*y + 49725. Let i(v) = 3*v**3 + 1377*v**2 + 147842*v - 149173. Let g(b) = 6*i(b) + 21*t(b). Determine w so that g(w) = 0.
-223, 1
Solve -310*c**3 - 1/4*c**4 - 2308802500 - 29791000*c - 144150*c**2 = 0.
-310
Let t(o) be the first derivative of 3*o**4/4 - 100*o**3 + 294*o**2 - 4179. Solve t(u) = 0.
0, 2, 98
Let v(b) be the second derivative of 94*b - 49/27*b**3 + 0 - 1/90*b**5 - 13/27*b**4 - 8/3*b**2. Solve v(w) = 0.
-24, -1
Solve -28288*w + 17*w**2 + 2*w**2 + 0*w**3 + 28348*w + 2*w**3 - 41*w**2 = 0 for w.
0, 5, 6
Factor 3/4*n**2 - 15/2*n + 12.
3*(n - 8)*(n - 2)/4
Let i(l) be the first derivative of -l**5/240 - l**4/96 + l**3/12 - 15*l**2/2 - l - 83. Let s(o) be the second derivative of i(o). Factor s(c).
-(c - 1)*(c + 2)/4
Factor -18*d**2 + 2/7*d + 0 + 124/7*d**3.
2*d*(d - 1)*(62*d - 1)/7
Suppose -8*r - 144 = r. Let s be 2*5 + r/16. What is b in -5*b**2 + 25*b - s + 9 - 20 = 0?
1, 4
Let o(z) be the third derivative of 9*z**5/80 + 138*z**4 + 67712*z**3 + 19*z**2 + 17. Solve o(a) = 0.
-736/3
Let r(w) be the third derivative of -w**6/60 - w**5/6 + 73*w**4/12 + 77*w**3/3 + 1488*w**2. Factor r(y).
-2*(y - 7)*(y + 1)*(y + 11)
Let d(q) = -7*q**4 + 28*q**3 - 14*q**2 - 26*q. Let v(g) = 279*g**3 - 1 - 81*g - 180*g - 69*g**4 - 141*g**2 + 1. Let m(h) = 21*d(h) - 2*v(h). Factor m(o).
-3*o*(o - 2)**2*(3*o + 2)
Let g(k) be the second derivative of -k**4/36 + 43*k**3/18 + 49*k**2 - 4054*k. Factor g(b).
-(b - 49)*(b + 6)/3
Suppose 36*h**2 - 3*h**4 + 11*h**2 + 270 + 18*h**2 - 381*h + 40*h**2 - 12*h**2 + 21*h**3 = 0. Calculate h.
-5, 1, 2, 9
What is g in -26*g**5 + 162 + 140*g**3 - 240*g**4 + 239277*g**2 + 17*g**5 - 237647*g**2 + 1005*g = 0?
-27, -2, -1/3, 3
Let h(f) be the second derivative of 3*f**8/224 + f**7/20 + f**6/15 + f**5/30 + 49*f**2/2 - 138*f. Let y(l) be the first derivative of h(l). Factor y(g).
g**2*(g + 1)*(3*g + 2)**2/2
Suppose 231*u + 230*u = -195*u. Determine v so that u + 5/2*v**3 - 15/2*v**2 + 0*v = 0.
0, 3
Suppose 339*a - 57 = 320*a. Let i(r) be the first derivative of 2/21*r**a - 2/7*r**2 + 0*r - 3. Determine t, given that i(t) = 0.
0, 2
Factor 524288/15 + 8192/5*m + 128/5*m**2 + 2/15*m**3.
2*(m + 64)**3/15
Let k(j) be the third derivative of j**7/1050 - 3*j**6/100 + 47*j**5/300 - j**4/4 - 3513*j**2. Suppose k(g) = 0. Calculate g.
0, 1, 2, 15
Let s be ((-2)/(-6))/((-10)/(-270)) + (-679)/77. Factor -2/11*y**2 - s + 4/11*y.
-2*(y - 1)**2/11
Let u(z) be the second derivative of -3*z**5/20 - 7*z**4/12 + 2*z**3/3 + 3*z**2 - 7*z - 9. Let g(t) = -t**2 + t. Let x(b) = g(b) - u(b). Solve x(n) = 0 for n.
-2, -1, 1
Let x(k) = -k**3 + 130*k**2 - 242*k - 1790. Let y be x(128). Factor 0*z - 2/5*z**3 + 0 + 2/5*z**5 + 2/5*z**4 - 2/5*z**y.
2*z**2*(z - 1)*(z + 1)**2/5
Let k(a) be the first derivative of -34322*a**3/27 - 524*a**2/3 - 8*a - 322. Suppose k(l) = 0. What is l?
-6/131
Suppose 143055667/2 - 1/2*g**3 - 820587/2*g + 1569/2*g**2 = 0. Calculate g.
523
Let d(u) be the third derivative of 0*u**4 + 11/300*u**6 - 13/525*u**7 + 1/210*u**8 + 0 - 1/75*u**5 + 0*u - 227*u**2 + 0*u**3. Find g, given that d(g) = 0.
0, 1/4, 1, 2
Let b(w) be the third derivative of w**6/360 + w**5/5 + 10*w**4/3 - 800*w**3/9 + 1911*w**2. Solve b(r) = 0.
-20, 4
Let c(b) be the third derivative of 1/3*b**3 + 6 + 7*b**2 - 2/15*b**5 - 11/60*b**6 + 0*b + 1/8*b**4 - 3/35*b**7 - 5/336*b**8. Factor c(f).
-(f + 1)**4*(5*f - 2)
Let z(n) be the second derivative of 9/5*n**2 + 4 + 1/2*n**3 + 15*n - 1/20*n**4. Factor z(f).
-3*(f - 6)*(f + 1)/5
Let w be 23/69 + (-35)/(-30). Let l(i) be the first derivative of w*i + 2 + 3/8*i**2 - 1/4*i**3. Solve l(z) = 0.
-1, 2
Solve 0 + 66/5*w**2 - 81*w + 3/5*w**3 = 0 for w.
-27, 0, 5
Let v(r) = r**2 - 1. Let o(f) = 4*f**2 - 57*f + 107. Let q(b) = o(b) - 3*v(b). Factor q(n).
(n - 55)*(n - 2)
Let s(h) = -3*h**4 - 7*h**3 + 8*h**2. Let a(f) = -2*f**4 - 7*f**3 + 9*f**2. Suppose 14*g - 49*g = 105. Let d(c) = g*s(c) + 4*a(c). Factor d(j).
j**2*(j - 4)*(j - 3)
Let r(t) = 33*t. Let k be r(0). Let u(w) be the first derivative of -2/11*w**3 + 0*w**2 + k*w - 1/22*w**4 + 8. Solve u(q) = 0 for q.
-3, 0
Suppose 2*i - 23 = -3*x, -15*x + 17*x = -3*i + 22. Let r(j) be the third derivative of 9*j**2 + 0*j - 1/18*j**4 + 1/9*j**3 + 0 + 1/90*j**x. Factor r(q).
2*(q - 1)**2/3
Let m(v) be the first derivative of -3*v**5/100 + 7*v**4/10 - 49*v**3/10 + 52*v + 75. Let l(d) be the first derivative of m(d). Factor l(u).
-3*u*(u - 7)**2/5
Suppose -2643 = -172*j + 453. Factor 22/3*s**4 - 2/3*s**5 - 54*s - 92/3*s**3 + j + 60*s**2.
-2*(s - 3)**3*(s - 1)**2/3
What is a in 0 + 1/3*a**3 + 4/3*a - 5/3*a**2 = 0?
0, 1, 4
Suppose 856/11*s + 2544/11*s**2 + 84*s**4 + 96/11 + 2806/11*s**3 - 98/11*s**5 = 0. Calculate s.
-1, -2/7, 12
Solve -536238/5 + 69006/5*k**2 + 2127654/5*k + 8/15*k**4 + 446/3*k**3 = 0 for k.
-93, 1/4
Let r(g) = -9*g**4 + 59*g**3 - 182*g**2 + 288*g - 172. Let z(s) = s**4 - 2*s**3 - s**2 + s + 1. Let j(o) = r(o) + 4*z(o). Suppose j(v) = 0. What is v?
2, 21/5
Let v(u) be the third derivative of -u**6/2700 - u**5/300 - 5*u**3/2 - 25*u**2. Let i(q) be the first derivative of v(q). Suppose i(a) = 0. Calculate a.
-3, 0
Let c(p) be the third derivative of 0*p - 43 + 2*p**2 + 10/9*p**3 + 19/45*p**5 - 4/45*p**6 + 0*p**7 - 11/12*p**4 + 1/504*p**8. Factor c(k).
2*(k - 2)*(k - 1)**3*(k + 5)/3
Let v = 4144 + -4139. Let i(r) be the first derivative of 25/4*r**4 - 3 + 35/2*r**2 + 15*r**3 + r**v + 10*r. Find d, given that i(d) = 0.
-2, -1
Let x(w) be the third derivative of -6*w - 3/2*w**4 + 0 + 4*w**2 + 1/15*w**5 + 16/3*w**3. Factor x(a).
4*(a - 8)*(a - 1)
Let j(p) = -39*p**4 + 15*p**3 + 6*p**2 + 18. Let z(x) = -14*x - 248. Let k be z(-19). Let r(b) = 2*b**4 - b**3 - 1. Let a(c) = k*r(c) + j(c). Factor a(h).
-3*h**2*(h - 1)*(h + 2)
Factor 205*x - 152 - 120*x - 4*x**3 - 156*x**2 + 30 - 42 + 239*x.
-4*(x - 1)**2*(x + 41)
Suppose -350 - 162 = -214*z - 84. Let w = 1 + 2. Find s, given that -18*s**3 + 8 + 34*s**3 - 100*s - 8*s**z + 19*s**w + 65*s**3 = 0.
-1, 2/25, 1
Factor 1/2*o**2 + 505521/2 - 711*o.
(o - 711)**2/2
Solve 1/3*b - 38*b**2 - 1/3*b**3 + 38 = 0 for b.
-114, -1, 1
Factor -77*h - 383*h**2 - 221*h**2 - 73*h**2 - 219*h**4 + 675*h**3 + 303*h - 4*h**4 - h**5.
-h*(h - 1)**3*(h + 226)
Suppose 130*p + 51*p = 55*p + 252. Find d, given that -1/3*d**p + 2/3*d + 1 = 0.
-1, 3
Let x(b) be the first derivative of -b**5/8 + 13*b**4/16 - 3*b**3/2 - 2*b**2 - b - 41. Let k(u) be the second derivative of x(u). Suppose k(o) = 0. Calculate o.
3/5, 2
Let k(q) = q**3 + 4*q**2 - 6*q - 21. Let j be k(-4). Factor 10*v**4 + 40*v**2 + 2*v**j - 27*v**3 - 2*v**5 - 11*v**3 - 16*v + 4*v**4.
-2*v*(v - 2)**3*(v - 1)
Let x(w) be the second derivative of -3*w**5/40 - 111*w**4 - 1773*w**3/4 - 1329*w**2/2 - 93*w + 42. Factor x(p).
-3*(p + 1)**2*(p + 886)/2
Suppose 262 = 29*c + 88. Suppose q - n = 0, -3*n = -q - c + 2. Solve -12/7*b**3 - 32/7*b + 44/7*b**q - 16/7 = 0.
-1/3, 2
Let 10/9*z**2 - 32/3 + 2/9*z**3 - 16/9*z = 0. What is z?
-4, 3
Suppose -5*c - 3*v + 84 = -453, -3*c - 5*v = -319. Let a be (c/126)/(18/28). What is j in -4/3 + a*j**2 + 2/3*j**3 - 2/3*j = 0?
-2, -1, 1
Let k(r) be the first derivative of -2*r**3/15 - 4998*r**2/5 - 12490002*r/5 + 12282. Determine o, given that k(o) = 0.
-2499
Le