 so that -5/3*h**2 - t - 10/3*h = 0.
-1
Let g(n) be the third derivative of 31/24*n**4 + 5/2*n**3 + 17/60*n**5 + 1/120*n**6 + 0 - 3*n**2 + 6*n. Let g(v) = 0. What is v?
-15, -1
Let v(i) be the first derivative of -8/25*i**5 + 4/5*i + 1/15*i**6 + 4/15*i**3 + 2/5*i**4 - i**2 + 7. Solve v(g) = 0 for g.
-1, 1, 2
Let o(w) be the first derivative of w**5 + 155*w**4/2 + 655*w**3 + 1060*w**2 - 4400*w + 2863. Suppose o(r) = 0. Calculate r.
-55, -4, 1
Suppose 0 = -3*m - 2*i + 4*i + 22, 2 = 2*m + 5*i. Let o be (-26)/(-10) - ((-336)/(-60) - m). Factor 4/3*p**o + 0 + 4/3*p**2 + 0*p.
4*p**2*(p + 1)/3
Let i(m) be the second derivative of m**6/60 + m**5/60 - m**4/24 + 53*m**2/2 - 7*m - 2. Let t(q) be the first derivative of i(q). Let t(l) = 0. Calculate l.
-1, 0, 1/2
Let g(l) be the third derivative of -5/3*l**3 - 5/672*l**8 - 11/24*l**6 - 2/21*l**7 - 7/6*l**5 + 0*l + 12*l**2 - 85/48*l**4 + 5. Let g(t) = 0. What is t?
-4, -1
Let l = 201 + -108. Let p = 5 + -3. Factor -4*b**2 + 18 + 78*b - l*b + b**p.
-3*(b - 1)*(b + 6)
Let n(f) be the second derivative of f + 0*f**4 + 25 + 0*f**2 - 1/20*f**5 - 1/90*f**6 + 0*f**3. Factor n(k).
-k**3*(k + 3)/3
Factor 121/6*i**2 - 239/6*i - 1/6*i**3 + 119/6.
-(i - 119)*(i - 1)**2/6
Suppose 73*w - 76*w = -2496. Let p = 835 - w. Suppose -8/3*t**2 + 4/3*t**p + 0 - 4*t = 0. What is t?
-1, 0, 3
Suppose -12 = -28*o + 25*o. Suppose 5*w - i - 18 = 0, 4*i + 24 = -o*w + 8*w. Solve 55/2*d**5 - 5*d**2 - 60*d**4 + 0*d + 75/2*d**w + 0 = 0.
0, 2/11, 1
What is i in 4900/3*i + 5/3*i**3 + 1645/3*i**2 + 3260/3 = 0?
-326, -2, -1
Let m(s) be the first derivative of -2*s**3/27 + 5*s**2/9 + 16*s/3 - 695. Solve m(j) = 0.
-3, 8
Let r be (-8)/(-12) + (-1 - -1). Let b be 3/(15/8)*(-13515)/(-16218). Solve -2/3*d - b + r*d**2 = 0 for d.
-1, 2
Let a(q) be the third derivative of q**8/10080 + q**7/504 - 7*q**6/180 + 2*q**5 - 43*q**2. Let g(x) be the third derivative of a(x). Factor g(z).
2*(z - 2)*(z + 7)
Suppose -3648100 + 5273*m**2 - 8405*m + 765*m - 5277*m**2 = 0. What is m?
-955
Let d(t) be the second derivative of t**5/4 - 905*t**4/12 - 509*t. Suppose d(z) = 0. Calculate z.
0, 181
Let n(p) be the second derivative of p**7/105 + 19*p**6/75 + 63*p**5/50 + 41*p**4/30 - 64*p**3/15 - 12*p**2 + 4653*p. What is i in n(i) = 0?
-15, -2, -1, 1
Let v(p) be the third derivative of -2*p**7/35 + 21*p**6/40 + 19*p**5/20 - 3*p**4/4 - 38*p**2 - 6*p + 7. Factor v(u).
-3*u*(u - 6)*(u + 1)*(4*u - 1)
Factor -1/4*y**3 + 3/4*y**4 + 15*y - 9*y**2 - 4.
(y - 2)**2*(y + 4)*(3*y - 1)/4
Let b(l) be the third derivative of -l**7/105 - 5*l**6/6 + 157*l**5/30 - 53*l**4/6 + 13*l**2 - 116*l - 2. Determine n so that b(n) = 0.
-53, 0, 1, 2
Let n(t) = -t + 5 + 16 + 4*t**2 - 40 + 17. Let u be (-23)/(-7) + (-6)/21. Let c(p) = 4*p**2 - p - 3. Let k(i) = u*n(i) - 2*c(i). Factor k(r).
r*(4*r - 1)
Factor 14/5*c - 92/15 + 2/15*c**2.
2*(c - 2)*(c + 23)/15
Suppose 5*m + 5 = 5*t - 17 - 3, 2*t - 14 = 0. Suppose 2/11*q**5 - 2/11*q**4 + 0 - 2/11*q**3 + 2/11*q**m + 0*q = 0. What is q?
-1, 0, 1
Factor -1/6*x**5 - 117*x - 87/2*x**3 - 35/6*x**4 - 243/2*x**2 + 0.
-x*(x + 3)**3*(x + 26)/6
Let n(o) be the third derivative of -o**8/1680 + 3*o**7/560 - o**6/120 + o**5/15 - 2*o**3/3 - 8*o**2. Let y(i) be the third derivative of n(i). Factor y(x).
-3*(x - 2)*(4*x - 1)
What is u in 6*u + u**2 - 4*u**4 + 19*u**5 - 15*u**5 + 3*u**2 - 6*u**5 - 4*u = 0?
-1, 0, 1
Determine g so that 11 + 9 - 315*g + 421*g + 49 + 16*g**2 - 9 = 0.
-6, -5/8
Let l(q) be the third derivative of -1/6*q**4 - 48*q**2 - 3/5*q**5 + 0 + 0*q + 0*q**3. Solve l(p) = 0.
-1/9, 0
Suppose 79*f - 231 = 2*f. Let v(g) be the second derivative of -3/16*g**f + 0 + 1/8*g**4 + 5*g - 3/16*g**2. Solve v(r) = 0.
-1/4, 1
Let x be (-1878)/(-8) + 6/(31 + -7). Suppose -9*i + 4*i + x = 0. Let -i + 14*h - 16*h**3 + 0*h + 2*h + 51 - 4*h**2 = 0. Calculate h.
-1, -1/4, 1
Let p(d) be the second derivative of 0 + 0*d**3 + 1/24*d**4 + 1/480*d**6 + 1/60*d**5 + 1/2*d**2 - 38*d. Let s(x) be the first derivative of p(x). Factor s(j).
j*(j + 2)**2/4
Let p be (-8)/10 - 18796410/(-450). Suppose -3*w**2 - 648*w + 42*w - p + 11166 = 0. What is w?
-101
Let a = -1682 + 1672. Let g be (-7 - (-424)/24)*(-5)/a. Factor 1/3*t**2 + 64/3 - g*t.
(t - 8)**2/3
Let p be (40 - (-2750)/(-77))/2. Solve 9/7*w + 0 - 3/7*w**4 + p*w**2 + 3/7*w**3 = 0.
-1, 0, 3
Let h(s) be the third derivative of -s**7/150 + 2*s**6/75 + s**5/100 - 2*s**4/15 + 2*s**3/15 - 3145*s**2. Suppose h(y) = 0. Calculate y.
-1, 2/7, 1, 2
Let g(x) be the second derivative of 1/315*x**7 + 0*x**2 - 100*x + 1/25*x**6 + 0 + 0*x**4 + 0*x**3 - 1/15*x**5. Factor g(i).
2*i**3*(i - 1)*(i + 10)/15
Let s(c) = -c**3 - 17*c**2 - 3*c - 42. Let o be s(-17). Factor -o*h**2 - 4*h - 50 - 4*h + 51.
-(h + 1)*(9*h - 1)
Let s(w) be the third derivative of 0*w - 41*w**2 - 3/20*w**6 - 1/70*w**7 - 1/5*w**5 + 0 + 3/4*w**4 + 5/2*w**3. Let s(m) = 0. What is m?
-5, -1, 1
Let f(h) be the second derivative of h**5/240 + h**4/96 - h**3/12 + 123*h**2/2 - 18*h. Let o(c) be the first derivative of f(c). What is v in o(v) = 0?
-2, 1
Factor 186*j**2 + 890*j + 281*j**2 - 469*j**2 - 2652.
-2*(j - 442)*(j - 3)
Let h = -211 + 195. Let n be 104/330 - h/(-120). Let 0 - 2/11*i**5 - 2/11*i**2 + 2/11*i**3 + n*i**4 + 0*i = 0. What is i?
-1, 0, 1
Determine t, given that -2860*t**2 + 1465 + 1655 + 213*t**3 - 69*t**3 - 60*t**3 + 10100*t - 49*t**3 = 0.
-2/7, 4, 78
Let l(h) be the first derivative of h**3/18 + 109*h**2/6 + 11881*h/6 + 1006. Suppose l(k) = 0. Calculate k.
-109
Let z(j) = j**2 + 21*j + 79. Let a be z(0). Factor 84*m**3 + 175*m**2 - 74*m**4 + 67*m**3 + 29*m**3 + a*m**4.
5*m**2*(m + 1)*(m + 35)
What is f in 5/3*f**2 - 9425/3*f + 0 = 0?
0, 1885
Let l(x) be the second derivative of 0 - 1/66*x**4 + 30/11*x**2 + 243*x + 13/33*x**3. Factor l(w).
-2*(w - 15)*(w + 2)/11
Let f(n) be the first derivative of n**4/16 - n**3/2 - 70*n + 47. Let z(w) be the first derivative of f(w). Factor z(g).
3*g*(g - 4)/4
Factor 97*j**2 - 46*j**2 - 22*j**2 - 31*j**2 + j**3 + 35*j - 70*j.
j*(j - 7)*(j + 5)
Let r = -1050378 - -1050390. Factor -3/2*j**2 + 0 + r*j.
-3*j*(j - 8)/2
Suppose -10 = -2*p - 0*n - 3*n, -p + 12 = 5*n. Solve 4*w**p - 4*w**2 - 2*w**2 + 3*w**2 - 4*w**2 + 24 - 6*w = 0 for w.
-4, 2
Let w(b) be the second derivative of b**5/5 + 35*b**4/3 + 104*b**3 + 360*b**2 + 6202*b. Let w(j) = 0. Calculate j.
-30, -3, -2
Let z(d) be the second derivative of d**5/12 - 5*d**4/12 - 59*d**2 - 64*d. Let g(p) be the first derivative of z(p). Let g(l) = 0. What is l?
0, 2
Let d(y) be the first derivative of -y**5/120 - 7*y**4/72 - 4*y**3/9 - y**2 + 67*y - 283. Let b(n) be the first derivative of d(n). Let b(u) = 0. Calculate u.
-3, -2
Suppose -8*x = -10*x + 46. Suppose -5*y - 5*l = -75, -2*l = y - x + 4. Factor -28*a**2 + 4*a**3 + y*a**2 - 48*a - 27*a**2.
4*a*(a - 12)*(a + 1)
Let z be (-9)/((-18)/8) - 215. Let w = z + 394. Factor -183*i + w*i + 35*i**4 - 7*i**3 + 17*i**3.
5*i**3*(7*i + 2)
Suppose -406*f**2 - 50192562 - 2/9*f**3 - 247254*f = 0. Calculate f.
-609
Let l be 0*2*(-115 + 111 - 126/(-32)). Solve 2/19*r + l + 4/19*r**2 = 0.
-1/2, 0
Let h be (1/(-1))/(3 + 56/(-18)). Suppose -h = -2*l - l. Let 42 - 41 - 5*f**5 - 10*f**2 - 25*f**4 + 34 - 65*f + 70*f**l = 0. Calculate f.
-7, -1, 1
Let s be (2 - -1)*(-32)/336 + (-244)/(-756). Let p(m) be the first derivative of -2/9*m**3 - 2/9*m**5 + 0*m**2 - s*m**6 + 24 + 0*m - 7/18*m**4. Factor p(w).
-2*w**2*(w + 1)**2*(w + 3)/9
Suppose -3/2*u**3 + 1623/2*u + 33*u**2 + 777 = 0. What is u?
-14, -1, 37
Let q = -133536 + 267075/2. Suppose -3/2*t**4 + q - 3*t + 0*t**2 + 3*t**3 = 0. Calculate t.
-1, 1
Solve -225806 - 2/7*g**2 - 508*g = 0.
-889
Determine u, given that 2*u**2 - 8 - 12 - 21*u + 38 + 50*u**3 - 49*u**3 = 0.
-6, 1, 3
Let o(y) be the third derivative of y**5/60 + 38*y**4/3 + 302*y**3/3 + 2*y**2 + 1146. Solve o(m) = 0.
-302, -2
Let m(b) be the third derivative of -19*b**6/180 + 13*b**5/10 - 21*b**4/4 + 3*b**3 + 1489*b**2. What is a in m(a) = 0?
3/19, 3
Factor 970/7*b**2 + 974/7 + 2/7*b**3 - 278*b.
2*(b - 1)**2*(b + 487)/7
Let a be (69/(-24) + 3)*2. Let h = 158/3 + -1255/24. Factor -h*s**4 + a*s + 3/8*s**2 + 0 - 1/4*s**3.
-s*(s - 1)*(s + 1)*(3*s + 2)/8
Let u = 17439/7150 - -138/325. Let t = 48/11 - u. Factor 3 + t*i - 3/2*i**2.
-3*(i - 2)*(i + 1)/2
Let h(a) 