 1)*(y + 2)
Factor 46*t**3 - 14*t + 54*t**3 - 111*t**3 + 2*t**4 - 12*t**2 + t**5 + 50*t.
t*(t - 2)**2*(t + 3)**2
Let z(y) be the third derivative of 0 + 52*y - 17/48*y**5 - 5/6*y**3 + 5/6*y**4 - y**2 + 5/96*y**6. Determine o so that z(o) = 0.
2/5, 1, 2
Let k(u) be the first derivative of -1/18*u**6 - 1/6*u**4 + 0*u**3 - 105 + 0*u**2 + 0*u + 1/5*u**5. Factor k(w).
-w**3*(w - 2)*(w - 1)/3
Suppose 0 = -0*w - 4*w + 20. Suppose 4*g - 17 + w = 0. Find v, given that 12 + 23*v**2 - 12 - 7*v**2 - 4*v**g = 0.
0, 4
Let d be 3102/2970 + 5/(405/(-36)). What is a in -13/5*a - d - 4/5*a**2 = 0?
-3, -1/4
Find n, given that -7/2*n**2 + 0 - 1/2*n**5 - 9/2*n**3 + 7/2*n**4 + 5*n = 0.
-1, 0, 1, 2, 5
Let h(i) be the second derivative of -i**6/360 + i**5/24 + 11*i**3/2 + 2*i**2 + 29*i. Let d(s) be the second derivative of h(s). Suppose d(n) = 0. Calculate n.
0, 5
Let o(q) be the first derivative of 5*q**4/4 - 25*q**3/3 - 1000*q**2 - 12500*q - 934. Factor o(n).
5*(n - 25)*(n + 10)**2
Let x be 22 + (-1251)/36 + 13. Let j(q) be the first derivative of -25 + 1/10*q**2 - 2/25*q**5 + 0*q + x*q**4 - 4/15*q**3. Factor j(v).
-v*(v - 1)**2*(2*v - 1)/5
Let d be ((8/(-6))/1)/((-177)/378 - 546/17199). Suppose 6*s - 66*s**3 - 40/3*s**4 - 148/3*s**2 + d = 0. Calculate s.
-4, -1, -1/5, 1/4
Let k(v) be the third derivative of -7/40*v**4 + 0 + 3/100*v**6 + 1/50*v**5 + 3/10*v**3 - 1/70*v**7 + 1/560*v**8 - 32*v**2 + 0*v. Factor k(z).
3*(z - 3)*(z - 1)**3*(z + 1)/5
Let x(q) be the third derivative of -1/2016*q**8 + 1/120*q**6 - 5/144*q**4 + 0 - 1/315*q**7 + 0*q**3 + 71*q**2 + 1/90*q**5 + 0*q. Find i such that x(i) = 0.
-5, -1, 0, 1
Let g(w) be the first derivative of -w**5/25 - 61*w**4/10 + w**3/15 + 61*w**2/5 - 178. Factor g(t).
-t*(t - 1)*(t + 1)*(t + 122)/5
Let q(a) be the second derivative of -a**7/168 + a**6/20 + 3*a**5/40 - 11*a**4/12 + 17*a**3/8 - 9*a**2/4 - 16*a + 14. Factor q(m).
-(m - 6)*(m - 1)**3*(m + 3)/4
Let z be -404 + 396 + (-81)/(-10). Let g(k) be the second derivative of -25 + z*k**5 - k + 4/3*k**3 - 2/3*k**4 + 0*k**2. Factor g(v).
2*v*(v - 2)**2
Let k(g) = 11*g**3 + 19*g**2 - 7*g - 23. Let f(u) = -75*u**3 - 132*u**2 + 48*u + 159. Let o(z) = 4*f(z) + 27*k(z). Determine t so that o(t) = 0.
-5, -1, 1
Let x be (-134 + 135)*(-7 - -18 - 7). Factor -1/4*m**x - 3/2*m + 0 - 13/4*m**2 - 2*m**3.
-m*(m + 1)**2*(m + 6)/4
Let b be ((-87)/145)/((-1)/5). Suppose 0 = 3*a - 5*x - 11, -2*a - b*x + 7 = 6. Find q, given that 6/5*q**3 - 9/5*q**4 + 0*q**a + 3/5*q**5 + 0 + 0*q = 0.
0, 1, 2
Let h(l) be the third derivative of 0 - 1/120*l**6 - 2*l - 2/3*l**3 - 10*l**2 + 1/20*l**5 + 0*l**4. Factor h(s).
-(s - 2)**2*(s + 1)
Let g be (-39)/(-15)*(-40)/(-52). Factor 1/2*s**3 - 2*s + 4 - s**g.
(s - 2)**2*(s + 2)/2
Let g(b) = b**2 - 35*b + 306. Let t be g(19). Let i(p) be the second derivative of 1/80*p**5 + 0*p**t - 1/24*p**3 + 11*p + 0*p**4 + 0. What is k in i(k) = 0?
-1, 0, 1
Let s = -55493/9 - -55496/9. Let c = 2 - 0. Factor 2/3 - 1/3*b - s*b**c.
-(b - 1)*(b + 2)/3
Let y(h) = 15*h - 1230. Let r be y(82). Let k(z) be the third derivative of 0 + 9/16*z**4 + r*z**3 - z**2 + 1/80*z**6 + 0*z + 3/20*z**5. Factor k(o).
3*o*(o + 3)**2/2
Let h(g) be the second derivative of -1/9*g**3 - 31*g + 0 + 3*g**2 - 1/2*g**4 + 1/30*g**5. Factor h(v).
2*(v - 9)*(v - 1)*(v + 1)/3
Let p(v) be the second derivative of 6 + 12*v + 7/30*v**5 - 32/3*v**2 - 11/12*v**4 - 1/90*v**6 - 56/9*v**3. Determine a so that p(a) = 0.
-1, 8
Let s(a) = a**3 + 3*a**2 - 24*a + 20. Let o be s(-9). Let i be (-425)/o + (-3)/15. Factor -i*d**2 - 15/2 + 9*d.
-3*(d - 5)*(d - 1)/2
Let z(m) be the first derivative of 0*m**2 - 52 - 3/20*m**5 + 3/8*m**6 + 0*m**3 + 0*m + 0*m**4. Factor z(h).
3*h**4*(3*h - 1)/4
Suppose -160*h + 69 = -137*h. Let x(i) = i + 1. Let r be x(1). Suppose -h*m**2 + 2*m**r - 2*m**2 + 8*m + 4 + 7*m**2 = 0. What is m?
-1
Let p(s) be the first derivative of s**6/2 - 9*s**4 + 16*s**3 - 1117. What is w in p(w) = 0?
-4, 0, 2
Let a be (-35 + 43)/((-1568)/(-294)). Factor -15/2*l**3 + 6 + 3/2*l**5 - a*l**4 + 3/2*l**2 + 12*l.
3*(l - 2)**2*(l + 1)**3/2
Let w(x) be the third derivative of -x**6/40 + 9*x**5/5 + 75*x**4/8 + 19*x**3 - 9*x**2 + 18*x - 9. Suppose w(g) = 0. Calculate g.
-1, 38
Solve -3249/2*b**3 + 1115/2*b - 2964*b**2 - 25 = 0.
-2, 5/57
Let n(a) be the third derivative of a**5/12 + 65*a**4/6 - 10*a**2 + 121*a. Determine y so that n(y) = 0.
-52, 0
Let z be 22539/(-45) - (-5)/75*-2. Let n = -496 - z. Factor 0 + 0*c + 2/7*c**2 - 2/7*c**3 + 2/7*c**n - 2/7*c**4.
2*c**2*(c - 1)**2*(c + 1)/7
Let o(w) = -8*w**2 - 118*w + 1070. Let x(n) = -2*n**2 + n - 73. Let v(i) = -o(i) + 2*x(i). Factor v(h).
4*(h - 8)*(h + 38)
Suppose 28 = 77*a - 120 - 6. Suppose 0*s - 1/4*s**a + 0 + 1/4*s**3 - 1/4*s**5 + 1/4*s**4 = 0. What is s?
-1, 0, 1
Let o = 472 + -434. Suppose -26 = -o*u + 25*u. Factor -1/5*k + 1/5*k**3 - 1/5*k**u + 0 + 1/5*k**4.
k*(k - 1)*(k + 1)**2/5
Solve -b**4 - 382*b**5 + 6*b**2 + 5*b + 377*b**5 - 5*b**4 - 4*b**4 + 4*b**2 = 0.
-1, 0, 1
Let m(r) be the third derivative of -r**6/240 + 13*r**5/40 - 11*r**4/2 - 605*r**3/3 - 566*r**2 - 3. Factor m(q).
-(q - 22)**2*(q + 5)/2
Let t be 4 + (-57)/(-36) + -23 + (-3861)/(-156). Let t - 67/3*k + k**2 = 0. Calculate k.
1/3, 22
Suppose 325*s**3 + 311*s**3 + 319*s**3 - 22260*s**2 - 16340739520 - 950*s**3 + 33033840*s = 0. What is s?
1484
Solve -712/7 + 708/7*j + 4/7*j**2 = 0.
-178, 1
Let s(a) be the second derivative of -a**4/144 + 59*a**3/18 + 142*a - 7. Suppose s(n) = 0. What is n?
0, 236
Let d(p) be the first derivative of 255*p**4 + 578/5*p**5 + 8*p + 125 - 60*p**2 + 314/3*p**3. Suppose d(t) = 0. What is t?
-1, 2/17
Let o(r) be the first derivative of -10*r**6/3 - 13*r**5/5 + 65*r**4/2 - 13*r**3 - 9*r**2 - 2772. Suppose o(x) = 0. Calculate x.
-3, -1/4, 0, 3/5, 2
Let a(p) = p. Let b(l) be the second derivative of -50*l + 7*l**2 - 3*l**3 + 1/6*l**4 + 0. Let o(g) = -2*a(g) - b(g). What is i in o(i) = 0?
1, 7
Let x be (-324)/(-40) + (-12 - (-3 - 1)). Factor -x*y**3 + 5/2*y**2 + 22/5 - 34/5*y.
-(y - 22)*(y - 2)*(y - 1)/10
Let i be (-20*147/3920)/(15/(-4)). Find o such that 29*o**2 - 13/5*o**4 + 176/5*o + 19/5*o**3 + i*o**5 + 64/5 = 0.
-1, 8
What is c in 1784/15*c + 88/3*c**2 - 2/15*c**3 + 1792/15 = 0?
-2, 224
Let d be 3/(((-6)/(-4))/3*3). Let o = d - -2. Solve 7*i**3 + 8 - 6*i**2 + 2*i**o - 3*i**3 + 0*i**3 - 8*i = 0.
-2, 1
Suppose 0 = -4*q - 3*v + 8, q + 4*v - 1 = 3*v. Let 7*a**3 - 10*a**2 + 13*a**3 + 19*a**3 + q*a**5 - 20*a**4 - 14*a**3 = 0. What is a?
0, 1, 2
Suppose 57/4*k**4 + 3/2*k**2 + 0*k - 45/4*k**3 + 0 - 9/2*k**5 = 0. What is k?
0, 1/6, 1, 2
Suppose -87*m + 42*m + 18 = -39*m. Factor -o + 0*o**2 + 1/4*o**m + 0.
o*(o - 2)*(o + 2)/4
Let s = -594365/12 - -142846691/2884. Let h = -2/721 + s. Determine m, given that -1/3*m**4 + 0*m + 1/3*m**5 + 0 - 1/3*m**3 + h*m**2 = 0.
-1, 0, 1
Let t = 237 - 210. What is f in t*f**4 - 10*f**3 - 40*f - 48 - 15*f**4 + 42*f**3 - 72*f - 44*f**2 = 0?
-3, -1, -2/3, 2
Suppose 13*o**2 + 15*o - 15*o**2 - 6272 + 130*o + 54*o + 25*o = 0. What is o?
56
Let j(z) = -76*z**3 + 3256*z**2 - 3596*z. Let y(l) = -7*l**3 + 296*l**2 - 328*l. Let p(h) = 3*j(h) - 32*y(h). Find w such that p(w) = 0.
0, 1, 73
Let m(f) be the first derivative of -5*f**6/24 + 21*f**5/20 - 19*f**4/16 + f**3/4 + 368. Find i such that m(i) = 0.
0, 1/5, 1, 3
Let y(x) = -x**2 - 8*x - 5. Suppose 6*l = -2*l - 56. Let o be y(l). Solve -u**3 - 4*u**3 - o*u - 3*u + 0*u**3 - 10*u**2 = 0 for u.
-1, 0
Let a(d) be the third derivative of d**7/105 + 41*d**6/150 + 107*d**5/150 + d**4/2 + 659*d**2 + 2. Suppose a(c) = 0. What is c?
-15, -1, -2/5, 0
Solve -231969*a**3 + 4170*a**2 + 231972*a**3 + 621122*a + 947073*a - 119120*a = 0.
-695, 0
Let c(m) be the first derivative of -64 - 1/5*m**5 - 1/6*m**6 + 1/4*m**4 + 1/3*m**3 + 0*m**2 + 0*m. Factor c(x).
-x**2*(x - 1)*(x + 1)**2
Let d = -26876/1729 + 3910/247. Find y such that -10/7*y**3 + 18/7*y + d*y**4 + 0 + 6/7*y**2 = 0.
-1, 0, 3
Let y = 1634/9 - 544/3. Let d(o) be the first derivative of 15 - y*o**3 + 4/3*o**2 + 10/3*o. Let d(w) = 0. Calculate w.
-1, 5
Factor -504*g**3 + 0 + 19209/4*g**2 - 361/2*g + 53/4*g**4.
g*(g - 19)**2*(53*g - 2)/4
Let g(n) be the second derivative of -n**7/1260 - n**6/60 + 4*n**5/15 + n**4/12 + 31*n**3/6 + 8*n + 1. Let d(r) be the third derivative of 