 that -50/17*s**3 + 0*s + 312/17*s**2 + 0 + 2/17*s**4 = 0.
0, 12, 13
Let y(d) be the first derivative of 0*d**4 + 1/90*d**6 + 1/30*d**5 + 5 + 0*d**2 - 4/3*d**3 + 0*d. Let n(s) be the third derivative of y(s). Factor n(p).
4*p*(p + 1)
Suppose 4*r - n = 11, 5*r - 4*n - 2 = 9. Let u be ((-6)/(-10))/(r/150*5). Find l such that -l**2 + 6*l**2 + 4 + u*l + 0*l**2 - 3*l**2 = 0.
-2, -1
Let z(t) be the first derivative of t**5/15 + 2*t**4/3 + 2*t**3 + 8*t**2/3 + 5*t/3 - 1196. Factor z(d).
(d + 1)**3*(d + 5)/3
Suppose -20*p + 15*p + 25 = 0. Suppose -4*m - 16 = 0, 2*m = -4*k + 3 + p. Factor 5*a**4 + 5*a**2 + 15*a**3 - 7 - k - 15*a + 1.
5*(a - 1)*(a + 1)**2*(a + 2)
Let j(c) be the third derivative of c**5/150 - c**4/2 - 136*c**3/15 - 5*c**2 - 41. Solve j(h) = 0 for h.
-4, 34
Let i be 0 + (-4)/18 + (-160)/(-1368). Let l = 298/57 - i. Factor 0*w + 8/3*w**3 + 1/3*w**2 + l*w**4 + 0.
w**2*(4*w + 1)**2/3
Factor 42*k**3 - 136*k**3 - 5*k**4 + k**5 - 53*k**3 - 113*k - 41*k + 305*k**2.
k*(k - 14)*(k - 1)**2*(k + 11)
Let i(g) be the first derivative of -16/33*g**3 + 0*g - 2/55*g**5 - 40 + 0*g**2 - 3/11*g**4. Factor i(a).
-2*a**2*(a + 2)*(a + 4)/11
Suppose 5*j + 117 = -2*v, 0 = -7*j + 4*j + v - 79. Let w be 12/(-270)*j + -1. Factor -2/9 + 1/3*t**2 + w*t.
(t + 1)*(3*t - 2)/9
Let i be ((-70)/(-49))/((-42)/(-98)) + (5 - 7). Suppose -2/3*u**3 + i + 2*u**2 - 2/3*u**4 + 10/3*u = 0. What is u?
-1, 2
Factor -1625*r**4 - 3477*r + 3250*r**4 - 3133*r**2 - 1626*r**4 + 113*r**3 + 6498.
-(r - 57)**2*(r - 1)*(r + 2)
Suppose -5*m + 5*c = 70 - 40, -2*c = -5*m - 3. Let g(q) be the first derivative of 0*q**4 + 6*q - 3/2*q**m - q**2 - 2 + 1/10*q**5. Factor g(b).
(b - 3)*(b - 1)*(b + 2)**2/2
Let u(v) = v**4 - v**2 + 1. Let j(b) = -4*b**4 - 87*b**3 + 731*b**2 - 1888*b + 1243. Let q(k) = -2*j(k) - 10*u(k). Let q(l) = 0. What is l?
1, 4, 78
Let f(t) be the second derivative of 20*t + 0*t**2 + 0 + 1/18*t**3 + 1/72*t**4. Let f(q) = 0. What is q?
-2, 0
Let y(l) be the second derivative of -3/14*l**4 + 1/70*l**5 + 20/21*l**3 + 203*l - 12/7*l**2 + 0. Factor y(g).
2*(g - 6)*(g - 2)*(g - 1)/7
Let l(h) be the second derivative of -h**6/15 + 27*h**5/10 - 45*h**4/2 + 193*h**3/3 - 84*h**2 + 6*h - 55. Solve l(p) = 0.
1, 4, 21
Suppose 0 = 11*b - 2*b. Suppose -2*c - 2 = b, 5*r = c + c + 492. Factor -196*s + r*s + 102*s - s**3 - s**2 + 4.
-(s - 2)*(s + 1)*(s + 2)
Let a(h) be the third derivative of 2 + 611/12*h**5 + 1/21*h**7 + 0*h + 71/24*h**6 - 75*h**4 - h**2 - 270*h**3. Solve a(t) = 0.
-18, -1/2, 1
Let x(n) be the second derivative of 0 + 67/12*n**4 + 3/40*n**5 - 73*n + 242*n**2 + 385/3*n**3. Solve x(a) = 0 for a.
-22, -2/3
Let c(z) be the first derivative of z**4/2 + 68*z**3/3 + 31*z**2 - 132*z - 506. Find y, given that c(y) = 0.
-33, -2, 1
Suppose -966*o - 2148/7*o**2 - 4761/7 - 150/7*o**3 - 3/7*o**4 = 0. Calculate o.
-23, -3, -1
Suppose -4*d = -51*d + 392 - 157. Let h(a) be the second derivative of -1/10*a**4 - 8*a + 0*a**2 + 0 - 3/50*a**d + 2/5*a**3. Let h(q) = 0. Calculate q.
-2, 0, 1
Let f = 462 + -452. Let q be (-350)/(-40) - f*(-2)/(-4). Factor 0 + q*y**2 + 3/4*y + 3*y**3.
3*y*(y + 1)*(4*y + 1)/4
Let s(p) = 69*p**2 - 719*p + 2168. Let g(t) = 78*t**2 - 720*t + 2169. Let w(b) = -8*g(b) + 9*s(b). Determine a so that w(a) = 0.
-240, 3
Determine q so that 4*q**4 + 9*q**3 - 6*q**2 + 8955282 - q**4 - 8955306 - 36*q = 0.
-2, -1, 2
Suppose 0 = -4*o - 19 + 43. Solve -3*p + 116*p**2 - 117*p**2 - o + 6 = 0 for p.
-3, 0
Let j(k) be the second derivative of k**5/360 + k**4/72 - k**3/12 + 8*k**2 - 2*k - 6. Let s(i) be the first derivative of j(i). Factor s(a).
(a - 1)*(a + 3)/6
Let u(j) be the second derivative of -j**6/2 + 189*j**5/20 - 17*j**4/2 - 12*j**3 + 433*j. Let u(i) = 0. What is i?
-2/5, 0, 1, 12
Suppose -6/7*u**2 + 2/7*u**4 - 18/7*u**3 + 36/7 + 50/7*u = 0. What is u?
-1, 2, 9
Let v(o) = -3*o**2 + 131*o + 382. Let b(d) = -48*d**2 + 2103*d + 6114. Let k(n) = 2*b(n) - 33*v(n). Factor k(m).
3*(m - 42)*(m + 3)
Let s(b) be the second derivative of -b**5/10 + 5*b**4 - 96*b**3 + 864*b**2 - 202*b + 2. Find y, given that s(y) = 0.
6, 12
Let x(v) be the second derivative of v**5/150 - 3*v**4/20 + 14*v**3/15 - 25*v**2 - 8*v + 1. Let z(a) be the first derivative of x(a). Factor z(j).
2*(j - 7)*(j - 2)/5
Let i(z) = 3*z + 42. Suppose -4*m - 21 - 31 = 0. Let y be i(m). Factor 32*d**y - 11*d**2 - 10*d**2 + 11*d**2 - 160*d - 4*d**4 - 14*d**2 - 100.
-4*(d - 5)**2*(d + 1)**2
Let -2060152/5*y**2 - 323328*y + 92160 + 17252/5*y**3 - 36/5*y**4 = 0. Calculate y.
-1, 2/9, 240
Let v(t) = -52*t**2 + 88*t + 20. Let p(c) = -21*c**2 + 35*c + 9. Let n(d) = -12*p(d) + 5*v(d). Determine i so that n(i) = 0.
1/2, 2
What is t in -1/3*t**4 + 0 - 4*t**3 - 15*t**2 - 50/3*t = 0?
-5, -2, 0
Let q = -57195/116 - -14364/29. Solve -57/8*r - 4*r**4 + 13/2*r**3 + q + 7/4*r**2 + 5/8*r**5 = 0.
-1, 2/5, 1, 3
Let n(s) be the third derivative of s**6/60 - 244*s**5/15 + 20007*s**4/4 - 39366*s**3 + 3333*s**2 - 2. Factor n(h).
2*(h - 243)**2*(h - 2)
Determine o, given that -142*o**5 + 195*o**5 + 10*o**4 - 51*o**5 - 16*o**3 - 24*o**2 = 0.
-6, -1, 0, 2
Factor 243/7*q + 1458/7 + 0*q**2 - 1/7*q**3.
-(q - 18)*(q + 9)**2/7
Let r(g) be the first derivative of -g**8/1512 - 8*g**7/945 - 13*g**6/540 - g**5/45 - g**2 + 34*g + 5. Let b(i) be the second derivative of r(i). Factor b(t).
-2*t**2*(t + 1)**2*(t + 6)/9
Determine r, given that 29*r**3 + 32*r**3 - 70*r**2 + 38 + 730 - 5*r**3 - 704*r - 46*r**2 - 4*r**4 = 0.
-3, 1, 8
Let k(b) be the second derivative of b**5/4 + 100*b**4/3 - 835*b**3/6 - 615*b**2 - 359*b - 4. Factor k(q).
5*(q - 3)*(q + 1)*(q + 82)
Suppose -24 - 18 = -7*j. Suppose 3*f = -2*i + 52, j*i = i - 2*f + 108. What is q in -i - 9*q**2 + 25*q + 10 + 16 = 0?
-2/9, 3
Suppose -32 = 3*i - 4*l, 2*l = -5*i - 2709 + 2751. Determine c, given that 0 - 10*c**2 - 6*c - 1/2*c**i - 9/2*c**3 = 0.
-6, -2, -1, 0
Let h(u) = -7983*u - 263437. Let r be h(-33). Factor 2/5*b**r + 8712/5 - 264/5*b.
2*(b - 66)**2/5
Let r(n) = -2*n**2 + 289*n - 3252. Let i be r(132). Let v(z) be the first derivative of -44 - 2*z**2 - i*z + 4/3*z**3. Factor v(p).
4*(p - 4)*(p + 3)
Let r(m) be the third derivative of 1/18*m**3 + 0*m + 15*m**2 + 1/144*m**4 + 0 - 1/360*m**5. Factor r(u).
-(u - 2)*(u + 1)/6
Let y(g) = -2*g**2 + 179*g - 1518. Let p be y(80). Let t(k) be the first derivative of 3 + 0*k**p + 0*k - 1/12*k**3. Factor t(f).
-f**2/4
Let v(z) be the second derivative of -z**5/210 + z**4/14 - 3*z**3/7 + 143*z**2 + 8*z - 3. Let c(t) be the first derivative of v(t). Factor c(x).
-2*(x - 3)**2/7
Factor -4/9*a**3 + 20*a**2 - 104*a + 0.
-4*a*(a - 39)*(a - 6)/9
Let w = -1585 + 182274/115. Let b = 117/230 + w. Suppose -b*o**3 + 3/2 + 5/2*o**2 - 7/2*o = 0. Calculate o.
1, 3
Suppose -124 = -3*a - 94. Suppose -h**4 + a*h - 54 + 32*h**3 - 10*h - 3*h**4 - 72*h**2 + 162 = 0. What is h?
-1, 3
Let q(x) = -x - 25. Let h be q(-14). Let t be (h/33)/(2/(-24)). Suppose 6 - t*n - 2 + 1 - n**2 = 0. Calculate n.
-5, 1
Factor 252 + 3/4*j**2 + 66*j.
3*(j + 4)*(j + 84)/4
Let d be (-3958)/(-22) - 5/(-55). Find x such that 4*x**4 + 3*x**5 - d*x**2 + 52*x**2 + x**5 + 20*x**4 = 0.
-4, 0, 2
Let p = -39591/8 - -4949. Factor -8 + 15/8*y**2 - 6*y - p*y**3.
-(y - 8)**2*(y + 1)/8
Let c(m) be the first derivative of -m**6/6 - 28*m**5/5 + 29*m**4/4 - 4198. Factor c(y).
-y**3*(y - 1)*(y + 29)
Let s(t) be the second derivative of 0 + 63*t - 37/60*t**5 - 2*t**3 - 1/9*t**6 + 0*t**2 - 1/126*t**7 - 5/3*t**4. Factor s(g).
-g*(g + 2)**2*(g + 3)**2/3
Let c be 1352/650 - 4/50. Let u(f) be the first derivative of 0*f**4 + 0*f**3 - 1/3*f**6 - 1 - 2/5*f**5 + 0*f + 0*f**c. Factor u(i).
-2*i**4*(i + 1)
Let t be -43 - -46 - (-5 + (-6 - 460/16)). Suppose 81/4*q**5 - 54*q**4 + 15*q + 129/2*q**2 - 18 - t*q**3 = 0. What is q?
-1, -2/3, 2/3, 3
Let c(g) be the first derivative of -4*g**4 + 5/3*g**6 + 14/5*g**5 - 29 + 0*g**2 - 8/3*g**3 + 0*g. What is j in c(j) = 0?
-2, -2/5, 0, 1
Let r(o) = -5*o**3 + 200*o**2 - 1990*o + 1800. Let a = -155 + 150. Let h(n) = n**2 + n - 1. Let z(b) = a*h(b) + r(b). Factor z(x).
-5*(x - 19)**2*(x - 1)
Let b = -397/2 + 1195/6. Let j(r) be the first derivative of 1/2*r**4 - b*r**6 - r - 2 - 7/5*r**5 + r**2 + 8/3*r**3. Solve j(u) = 0 for u.
-1, 1/4, 1
Let l(a) be the first derivative of -a**3/12 + 203*a**2/8 + 207*a + 