3*h**2 - 2/13*h**3 + 0 = 0. What is h?
-97, 0
Let d(g) = -3*g**4 - 6*g**3 + 2*g**2 + 8*g + 1. Let m(w) = -6*w**3 + 3*w**2 + 9*w - 6902 + 6902 - 3*w**4. Let u(x) = 3*d(x) - 2*m(x). Factor u(f).
-3*(f - 1)*(f + 1)**3
Let t = 32708 + -32703. Let a(i) be the second derivative of -t*i**3 + 1/12*i**4 + 30*i + 0 + 225/2*i**2. Let a(x) = 0. What is x?
15
Let s(v) = -34 - 26 + 8*v + 8 - 66. Let h be s(15). Solve -3 - 3*q - 3/4*q**h = 0.
-2
Let o = -41432/3 - -13667. Let j = o + 145. Factor 2/3*g + j*g**3 + 1/3*g**4 + 0 + 5/3*g**2.
g*(g + 1)**2*(g + 2)/3
Let u be 1015/(-126) - -3 - (-5)/1. Let b = u + 13/18. What is d in 2/3 + b*d**2 - 4/3*d = 0?
1
Let d = -5120 - -5128. Let a(j) = 2*j**2 + 3*j. Let u be a(-2). Factor 12*t + 0*t**3 - 2*t**3 - d - u*t**3.
-4*(t - 1)**2*(t + 2)
Let w be -1127 + 1126 - (-10)/(-75)*(-25)/3. Suppose -6859/9 - 19/3*m**2 + w*m**3 + 361/3*m = 0. What is m?
19
Find n, given that 32/3*n**3 - 170/3*n**2 - 2/3*n**4 - 96 + 124*n = 0.
2, 3, 8
Let b(n) be the second derivative of n**5/50 + 47*n**4/15 - 13*n**3 - 288*n**2/5 - 11656*n. Factor b(j).
2*(j - 3)*(j + 1)*(j + 96)/5
Let s = 291 + -343. Let v be 8/s - ((-1444)/260 + 5). Find x, given that 4/5*x - v*x**3 + 2/5*x**2 + 0 = 0.
-1, 0, 2
Let x(v) be the first derivative of -8*v**3/9 - 37*v**2/3 - 42*v + 1558. Find a such that x(a) = 0.
-7, -9/4
Factor 54/7*d - 116/7 + 2/7*d**2.
2*(d - 2)*(d + 29)/7
Let l(t) be the third derivative of t**7/1155 - 5*t**6/66 - 103*t**5/330 - 13*t**4/33 + 2*t**2 - 63*t. Find q such that l(q) = 0.
-1, 0, 52
Let z = 3164 - 3163. Factor 5/4*u**2 - z - u + 3/4*u**3.
(u - 1)*(u + 2)*(3*u + 2)/4
Let x(i) = -185*i + 183. Let s be x(-8). Let p = s + -4985/3. Find d, given that -4/9 - p*d + 8/9*d**4 + 4/3*d**3 - 4/9*d**2 = 0.
-1, -1/2, 1
Factor -2051 - 33*r + 6147 - 3*r**3 - 2067 - 18*r**2 - 2047.
-3*(r + 1)*(r + 2)*(r + 3)
Let g(k) be the first derivative of -21/2*k - 9*k**3 + 77 - 3/2*k**4 - 15*k**2 + 3/10*k**5. What is j in g(j) = 0?
-1, 7
Let z = -4915/62 + 2690/31. Factor -3/2 + 15/2*o + 3/2*o**2 - z*o**3.
-3*(o - 1)*(o + 1)*(5*o - 1)/2
Let v(m) be the third derivative of m**6/60 - 11*m**5/15 + 131*m**4/12 - 182*m**3/3 + 3995*m**2. Factor v(f).
2*(f - 13)*(f - 7)*(f - 2)
Suppose 386 = i + 5*m, -3*i - 3*m = -5*i + 720. Let s be i/12 - (4 - 14). What is l in 6*l + 0 - 75/2*l**2 + s*l**3 + 525/8*l**4 - 147/8*l**5 = 0?
-1, 0, 2/7, 4
Let j(o) be the first derivative of o + 1/2*o**2 - 1/3*o**3 + 85 - 1/4*o**4. Factor j(n).
-(n - 1)*(n + 1)**2
Let x(v) = v**4 - 2*v**3 + 2*v**2 + v. Let m(w) = -248*w**3 + 5752*w**2 - 51204*w + 128000. Let s(o) = -m(o) - 4*x(o). Factor s(b).
-4*(b - 20)**3*(b - 4)
Find v such that -1083/5*v**4 + 4218/5*v**3 - 6159/5*v**2 + 3996/5*v - 972/5 = 0.
18/19, 1
Let h be -879 + (14 - 7) + 2 + -3. Let n = h - -2621/3. What is u in 0 - n*u**3 + 0*u + 0*u**2 = 0?
0
Factor -q**3 + 14*q + 55/2*q**2 + 0.
-q*(q - 28)*(2*q + 1)/2
Let d(p) be the second derivative of -p**5/20 + 277*p**4/3 - 153458*p**3/3 - 2996*p. Factor d(b).
-b*(b - 554)**2
Suppose 100*h = 13*h - 52*h. Factor -1/2*l**5 + 0*l + 0*l**2 - l**4 - 1/2*l**3 + h.
-l**3*(l + 1)**2/2
Let l(t) be the first derivative of t**3/18 - 17*t**2/12 + 4254. Factor l(n).
n*(n - 17)/6
Let j(x) = -46*x + 55. Let q be j(1). Factor 366*g**2 + 117*g**3 + 333*g - q*g**4 - 108 - 24*g**4 + 86*g**4 - 18*g**4 - 23*g**4.
3*(g + 3)**2*(g + 4)*(4*g - 1)
Let u(f) be the first derivative of -f**4/4 - 107*f**3 - 25599*f**2/2 + 25921*f + 817. Solve u(b) = 0.
-161, 1
Let x(u) = 8420*u**2 - 1535*u + 20. Let g(w) = 11225*w**2 - 2048*w + 27. Let s(o) = 10*g(o) - 13*x(o). Factor s(q).
5*(6*q - 1)*(93*q - 2)
Let k(q) be the second derivative of q**4/12 - q**3/2 + 1748*q + 2. Factor k(u).
u*(u - 3)
Let b(k) = -k**2 - 42*k - 77. Let c be b(-2). Suppose 5*n - c*q - 234 = 0, n + 2*q + 6 = 58. Solve -220/3*u**2 - 6*u**3 - n - 232*u = 0 for u.
-6, -2/9
Let d(o) be the third derivative of -o**6/120 - o**5/15 - 3365*o**2. Suppose d(y) = 0. What is y?
-4, 0
Let v = 54 + -54. Suppose -z + 3*o + 24 = v, 0*o - 5*o - 70 = -5*z. Factor -19*h + 3*h**3 - z*h + 3*h**2 + 22*h.
3*h*(h - 1)*(h + 2)
Let h(z) be the third derivative of -z**7/210 - z**6/24 + 7*z**5/15 + 5*z**4/6 - 16*z**3 + 206*z**2. Let h(w) = 0. Calculate w.
-8, -2, 2, 3
Suppose -30*w**3 - 1834*w + 5*w**4 - 1713*w + 45*w**2 + 3547*w = 0. Calculate w.
0, 3
Let c = -7/552 + 61/276. Let r(n) be the second derivative of -1/12*n**3 + c*n**4 + 0*n**2 + 1/40*n**5 - 1/12*n**6 - 23*n + 0. Suppose r(k) = 0. What is k?
-1, 0, 1/5, 1
Suppose -3*p = -5*h + 4619, p = -68*h + 63*h + 4607. Let r = -11980/13 + h. Solve 4/13*q**2 - 2/13*q**5 - 6/13*q**4 + r*q + 2/13 - 4/13*q**3 = 0 for q.
-1, 1
Let c(a) be the first derivative of a**7/210 - 7*a**6/90 + 8*a**5/15 - 2*a**4 - 71*a**3 - 148. Let d(i) be the third derivative of c(i). Solve d(l) = 0.
2, 3
Let v = -89385 - -89389. Let 268/7*b**2 + 125/7*b**5 + 825/7*b**v - 1370/7*b**3 - 64/7 + 216/7*b = 0. Calculate b.
-8, -2/5, 2/5, 1
Let t = -329/3 - -1325/12. Let c(l) be the second derivative of 10*l + 0*l**2 - t*l**5 + 10/3*l**3 + 0 + 0*l**4 + 1/6*l**6. Factor c(w).
5*w*(w - 2)**2*(w + 1)
Let x(z) be the second derivative of 9/2*z**3 - 11*z - 3/4*z**4 + 7/2*z**2 + 1/20*z**5 + 0. Let y(d) be the first derivative of x(d). Let y(s) = 0. What is s?
3
Suppose -6294*o + 2 = -6293*o. Let a(v) be the first derivative of 18 - 6*v + 21/4*v**4 - 21/2*v**o + 2*v**3. Factor a(b).
3*(b - 1)*(b + 1)*(7*b + 2)
What is h in 16*h + 56/9 - 2/3*h**2 - 40/9*h**3 = 0?
-7/4, -2/5, 2
Let z(s) be the second derivative of s**9/37800 - s**7/1575 + s**4/4 + 8*s**2 - 2*s + 10. Let m(x) be the third derivative of z(x). Factor m(y).
2*y**2*(y - 2)*(y + 2)/5
Factor -200 - 80*l - 1/4*l**3 + 19/2*l**2.
-(l - 20)**2*(l + 2)/4
Let a(o) be the second derivative of o**4/20 - 377*o**3/10 + 564*o**2/5 + 244*o. Find l such that a(l) = 0.
1, 376
What is o in -3042/7 + 2/7*o**5 - 148/7*o**2 - 3510/7*o + 54/7*o**4 + 372/7*o**3 = 0?
-13, -3, -1, 3
Let h be (40/(-6)*1 + 3)*9. Let v = -19 - h. Suppose -v*y - y**2 - 108 - 2*y**2 - 37*y + 15*y = 0. What is y?
-6
Let y be (-5028)/18 + (1 - -4). Let f = y - -275. Determine s so that 2*s + 0*s**2 - 4/3 - f*s**3 = 0.
-2, 1
Let i(l) be the second derivative of -l**4/36 - 106*l**3/9 - 211*l**2/6 + 9170*l. What is z in i(z) = 0?
-211, -1
Let d(w) = -8*w**3 - 184*w**2 + 2. Let q be d(-23). Factor -40/7*o - 100/7 - 4/7*o**q.
-4*(o + 5)**2/7
Suppose -23*t = -26*t + 144. Suppose -14*p - 10*p + t = 0. Solve -7/2*d**p - 3/2 - 5*d = 0 for d.
-1, -3/7
Let y be (-6650)/(-1645) - (-4)/(-94). Find k, given that 12/5*k**y + 44/5*k**3 + 0 + 4*k + 52/5*k**2 = 0.
-5/3, -1, 0
Let -3104/5*d - 4/5*d**2 - 602176/5 = 0. Calculate d.
-388
Let z(c) = 12*c**2 + 2. Let s(q) = 25*q**2 + 191*q + 382. Let l(f) = -s(f) + 2*z(f). Suppose l(k) = 0. Calculate k.
-189, -2
Let h(g) be the second derivative of g**5/20 + 103*g**4/3 - 827*g**3/6 + 207*g**2 + 2605*g. Factor h(d).
(d - 1)**2*(d + 414)
Let c(w) = 2*w**3 + 145*w**2 - 54*w + 1391. Let z be c(-73). Suppose 16/9 - 34/3*j**2 - 34/9*j**3 + 86/9*j**z + 52/9*j - 2*j**5 = 0. What is j?
-1, -2/9, 1, 4
Let h(v) be the second derivative of 0*v**5 + 0*v**3 - 1/96*v**4 + 27*v + v**2 + 1/480*v**6 + 0. Let y(t) be the first derivative of h(t). Factor y(p).
p*(p - 1)*(p + 1)/4
Let b(k) be the second derivative of 5*k**5/4 - 1085*k**4/12 - 1480*k**3/3 - 690*k**2 - 520*k + 3. Let b(h) = 0. Calculate h.
-2, -3/5, 46
Let d(b) be the second derivative of b**7/21420 + b**6/306 + 5*b**5/51 - b**4/6 + 31*b**2/2 - 4*b - 2. Let u(c) be the third derivative of d(c). Factor u(y).
2*(y + 10)**2/17
Let n(z) be the third derivative of z**6/120 + z**5/20 + z**4/24 - 19*z**2. Let y(p) = p**3. Let g(v) = -4*n(v) - 4*y(v). Solve g(d) = 0 for d.
-1, -1/2, 0
Let n(j) be the second derivative of 1/2*j**4 - 10*j + 1/90*j**6 + 0*j**2 + 2/15*j**5 + 0 + 1/3*j**3. Let k(v) be the second derivative of n(v). Factor k(u).
4*(u + 1)*(u + 3)
Find j, given that -296/7*j + 384/7 + 2/7*j**3 - 90/7*j**2 = 0.
-4, 1, 48
Let a be -22 - -23 - (-3 - 1). Determine j so that 5*j**2 + a*j - 3*j - 4*j**2 - 3*j + 2*j**3 = 0.
-1, 0, 1/2
Let i(y) = -4*y**2 - 143*y - 1087. Let c be i(-11). Factor -3/7*u**c - 3*u - 18/7.
-3*(u + 1)*(u + 6)/7
Let m(q) be the second derivative of q**7/21