*a**2 = 0.
0, 2, 4
Let o(l) be the third derivative of -l**8/1008 - 17*l**7/315 - 7*l**6/40 + 17*l**5/90 + 8*l**4/9 + 4022*l**2. Solve o(w) = 0.
-32, -2, -1, 0, 1
Suppose -2*n + 2438 = 286. Let p = 1078 - n. Factor -16*o - 36/7*o**3 - 136/7*o**p + 32/7.
-4*(o + 2)**2*(9*o - 2)/7
Suppose 0 = 33*t + 11*t + 220. Let y(s) = -34*s - 170. Let v be y(t). Factor 1/2*q**3 + 0*q + v + 1/2*q**2.
q**2*(q + 1)/2
Let d = 1529 - 415. Let t = d + -1114. Determine x, given that 3/7*x**5 - 2/7*x**4 - 9/7*x**3 + 4/7*x + t + 0*x**2 = 0.
-1, 0, 2/3, 2
Let k(l) be the second derivative of 25*l**7/42 - 101*l**6/3 + 935*l**5/2 + 4355*l**4/3 + 875*l**3/2 - 2205*l**2 - 13*l + 6. Determine u, given that k(u) = 0.
-1, 2/5, 21
Let z = -31985 - -31991. Let n(l) be the second derivative of 1/4*l**4 - 2/3*l**3 - 1/10*l**z + 1/4*l**5 - 48*l + 0*l**2 + 0 - 1/42*l**7. Factor n(r).
-r*(r - 1)**2*(r + 1)*(r + 4)
Suppose -9*f + 185*f**2 + 5*f**4 - 90 - 100*f**2 + 76*f**3 + 19*f**3 - 86*f = 0. Calculate f.
-18, -1, 1
Let s(b) = -b**3 - 4*b**2 + 246*b + 84. Let n be s(14). Suppose -10/3*j**2 - 2/3*j**3 + n - 4*j = 0. What is j?
-3, -2, 0
Let r(k) be the third derivative of -k**7/42 - 8*k**2. Let l(u) = u**2 + 66*u**3 - 3*u**4 + 7*u**4 - 65*u**3. Let b(t) = 4*l(t) + 3*r(t). Factor b(n).
n**2*(n + 2)**2
Let z(v) be the first derivative of -1960/3*v**2 - 235/6*v**4 - 10/3*v**5 - 2030/9*v**3 + 70 - 2744/3*v - 1/9*v**6. Factor z(f).
-2*(f + 2)**2*(f + 7)**3/3
Find m such that 0*m + 18/13*m**3 + 6/13*m**4 - 2/13*m**5 + 0 + 10/13*m**2 = 0.
-1, 0, 5
Let i(s) be the first derivative of 2*s**5/5 - 79*s**4/2 + 52*s**3 - 2086. Factor i(k).
2*k**2*(k - 78)*(k - 1)
What is k in 277/3*k**2 - 24*k**3 + 136/3 - 114*k + 1/3*k**4 = 0?
1, 2, 68
Factor 29/4*s**3 + 8*s - 95/4*s**2 + 21.
(s - 2)**2*(29*s + 21)/4
Let h = 118/439 - -14270/5707. Factor 2/13*u**4 + 40/13*u + h*u**2 + 14/13*u**3 + 16/13.
2*(u + 1)*(u + 2)**3/13
Let h(b) be the first derivative of 0*b**3 + 0*b**4 - 50 + 1/18*b**6 - 23/15*b**5 + 0*b**2 + 0*b. Find v such that h(v) = 0.
0, 23
Suppose -121 + 331 = -15*r. Let o be (-12)/27*-6*(-21)/r. Find j, given that 5*j**3 + 18*j**4 + j**2 - 5*j - 12*j**4 + 4*j**o - 11*j**2 = 0.
-1, -1/2, 0, 1
Let c(n) be the first derivative of 5*n**4/4 - 125*n**3/3 - 445*n**2 - 1240*n - 1791. Determine g so that c(g) = 0.
-4, -2, 31
Let i(c) be the second derivative of -3*c**5/160 + 9*c**4/32 + 37*c**3/16 - 495*c**2/16 - c + 37. Factor i(t).
-3*(t - 11)*(t - 3)*(t + 5)/8
Let b be ((-101)/404)/(35/(-60)*1). Determine v, given that 0 + 0*v + 18/7*v**4 + 12/7*v**2 - b*v**5 - 27/7*v**3 = 0.
0, 1, 4
Let n(u) be the first derivative of -u**4/8 + 2*u**3/3 + 11*u**2/4 + 3*u - 164. Solve n(j) = 0 for j.
-1, 6
Let r(k) = -k**2 + 18*k + 55. Let u be r(20). Factor -u*d**3 + 74 - 170*d**2 - 9*d - 14 - 18*d + 122*d + 30*d.
-5*(d - 1)*(d + 12)*(3*d + 1)
Let j(i) be the first derivative of 147 + i**5 + 135*i**2 + 135*i + 25/2*i**4 + 60*i**3. Suppose j(q) = 0. Calculate q.
-3, -1
Let z(q) = -126*q - 1383. Let k be z(-11). Let v(t) be the first derivative of 22 + 12*t + 4/3*t**k + 8*t**2. Factor v(y).
4*(y + 1)*(y + 3)
Let o(m) = m**3 + 13*m**2 + 2*m + 4. Suppose 0 = -3*t - 5*j + 6, t - 4*j + 1 + 14 = 0. Let n(u) = -u**2 + u. Let r(d) = t*o(d) - 21*n(d). What is x in r(x) = 0?
-4, -1
Let t(y) = y**2 + 15*y + 46. Let c be t(-11). Factor 0*s**c - 103*s - 5*s**2 - 43 + 2*s**2 + 25*s - 32.
-3*(s + 1)*(s + 25)
Let r(f) be the third derivative of -2/11*f**3 + 17/132*f**4 + 7/660*f**6 + 0*f + 0 - 58*f**2 - 1/1155*f**7 - 17/330*f**5. Suppose r(c) = 0. What is c?
1, 2, 3
Let b(h) be the third derivative of -h**7/490 - h**6/70 - h**5/140 + 3*h**4/28 + 5*h**2 - 98*h + 3. Factor b(o).
-3*o*(o - 1)*(o + 2)*(o + 3)/7
Suppose m + 80 - 84 = 0, -g - 2*m + 187 = 0. Find a, given that -4*a**3 + 70 - 44 - g*a + 23*a + 52*a**2 + 82 = 0.
1, 3, 9
Let u(s) be the first derivative of s**5/5 - 56*s**4 + 445*s**3/3 - 111*s**2 - 1186. Find w such that u(w) = 0.
0, 1, 222
Let a(y) be the third derivative of 2*y**8/21 - 808*y**7/21 + 12599*y**6/3 + 38405*y**5/3 + 48260*y**4/3 + 32258*y**3/3 - 5*y**2 - 503*y. Factor a(c).
4*(c - 127)**2*(2*c + 1)**3
Suppose -2*q = 3*l - 5, 3*l - 20 = -4*q - 7. Suppose -59 = 2*o - 79. Find b such that 950*b + o - q*b**2 - 962*b + 6 = 0.
-4, 1
Let v = -105962/39 + 2717. Let n(m) be the second derivative of 0 - 1/78*m**4 + 0*m**2 - v*m**3 + 4*m. Determine g so that n(g) = 0.
-1, 0
Suppose -5*c + 5*r - 123 = -183, 6*c = r + 22. What is q in 1/7*q**5 + 5/7*q + 0 + 4/7*q**c - 4/7*q**4 - 6/7*q**3 = 0?
-1, 0, 1, 5
Let y = -865467/5 - -173094. Factor -27/5*x**4 + 0 - y*x**2 - 12/5*x + 42/5*x**3.
-3*x*(x - 1)**2*(9*x + 4)/5
Let a be (-795 + 808)*(-18)/(-65). Suppose a*o - 3/5*o**2 - 24/5 = 0. Calculate o.
2, 4
Let h(t) be the third derivative of -4/33*t**3 + 1/12*t**4 + 0 + 1/110*t**5 + 0*t + 66*t**2. Factor h(u).
2*(u + 4)*(3*u - 1)/11
Factor 2 + 57/7*o + 4/7*o**2.
(o + 14)*(4*o + 1)/7
Let h be 12 + -8 + (2 - 11) - 1. Let s be (-1*2/h)/(90/1350). Factor -24/5*w**4 + 8/5*w**s - 12/5*w**2 + 26/5*w**3 + 0 + 2/5*w.
2*w*(w - 1)**2*(2*w - 1)**2/5
Factor -111*p**2 + 24*p**4 - 36*p**3 + 793*p**5 - 384*p - 225*p**2 - 790*p**5.
3*p*(p - 4)*(p + 2)**2*(p + 8)
Let k be (-162)/63*14/(-4)*(-8)/(-56). Factor 66/7*h - 3 - k*h**2.
-3*(h - 7)*(3*h - 1)/7
Let v = 1129 + -217898/193. Let z = v + 195/386. Suppose 7/4*u + z*u**2 - 7/4*u**3 - 1/2 = 0. Calculate u.
-1, 2/7, 1
Factor 98*v**2 - 1/2*v**5 + 9*v**4 - 165/2*v - 49*v**3 + 25.
-(v - 10)*(v - 5)*(v - 1)**3/2
Factor 2/5*t**2 - 434/5 - 432/5*t.
2*(t - 217)*(t + 1)/5
Let f(n) be the second derivative of n**5/50 + 31*n**4/30 - 82*n**3/3 + 4488*n. Factor f(z).
2*z*(z - 10)*(z + 41)/5
Let o(g) be the third derivative of -g**6/1260 - 3*g**5/140 - g**4/6 - 193*g**3/6 + 2*g**2 + 80*g. Let y(r) be the first derivative of o(r). Factor y(h).
-2*(h + 2)*(h + 7)/7
Suppose 0 + 1/4*m**2 - 37/2*m = 0. Calculate m.
0, 74
Let k(h) be the first derivative of -2/27*h**3 + 163 + 0*h**2 - 1/9*h**4 + 2/15*h**5 + 0*h. Factor k(p).
2*p**2*(p - 1)*(3*p + 1)/9
Suppose 15410*i**2 - 15514*i**2 + 58*i**3 - 8*i**4 + 72 - 22*i + 4*i = 0. Calculate i.
-3/4, 1, 3, 4
Determine b, given that 168*b**3 - 90*b**2 + 150*b - 417*b**3 + 18*b + 9*b**4 = 0.
-1, 0, 2/3, 28
Let v(w) be the third derivative of w**5/180 - 25*w**4/18 + 97*w**3/6 + 172*w**2. Factor v(b).
(b - 97)*(b - 3)/3
Factor 38/5*o + 416/5*o**2 - 22/5*o**3 + 0.
-2*o*(o - 19)*(11*o + 1)/5
Let p(z) be the second derivative of 3*z**5/40 - 35*z**4/4 - 152*z**3 - 936*z**2 + z + 1416. Factor p(a).
3*(a - 78)*(a + 4)**2/2
Let r(v) be the second derivative of v**5/45 - 5*v**4/27 - 224*v**3/27 + 1408*v**2/9 + 540*v. Factor r(p).
4*(p - 8)**2*(p + 11)/9
Let h = -2464/13 - -7418/39. Factor 16/3*g + h*g**2 - 6.
2*(g - 1)*(g + 9)/3
Solve 30*q**2 + 110*q**3 + 5 - 5 + 5*q**5 - 30 - 33 - 12 + 45*q**4 - 115*q = 0 for q.
-5, -3, -1, 1
Let x(r) be the third derivative of 15*r**3 - 1/24*r**6 + 0 + 0*r + 175/24*r**4 + 4/3*r**5 + 96*r**2. What is a in x(a) = 0?
-1, 18
Let f be (-98)/4 - (-1)/((-84)/(-2184)). Solve 2*d**3 - 2 + 7/2*d**2 - 2*d - f*d**4 = 0.
-1, -2/3, 1, 2
Suppose -139*l + 753 + 307 = 117*l + 548. Suppose 0*y**l - 2/5*y**5 + 0*y - 8/5*y**4 + 0 + 0*y**3 = 0. Calculate y.
-4, 0
Let l(y) be the third derivative of y**8/336 - y**6/72 + 19*y**3/2 - y**2 + 10*y. Let d(t) be the first derivative of l(t). Solve d(i) = 0.
-1, 0, 1
Determine v, given that 346/15*v**2 + 70/3 + 698/15*v - 2/15*v**3 = 0.
-1, 175
Let x(h) be the first derivative of -h**3/18 + 155*h**2/3 - 48050*h/3 + 1620. Suppose x(v) = 0. What is v?
310
Let u(q) = -38*q**3 + 18*q**2 - 10*q - 18. Suppose k = -3*g - 2, -2*g = -34*k + 31*k + 16. Let a(m) = 2*m**3 - m + 1. Let j(n) = g*u(n) - 36*a(n). Factor j(i).
4*i*(i - 7)*(i - 2)
Let g(z) be the first derivative of -z**6/48 - 61*z**5/40 - 119*z**4/32 - 59*z**3/24 + 948. Factor g(c).
-c**2*(c + 1)**2*(c + 59)/8
Let r(v) = -2*v + 10. Let x be r(2). Let z be 1155/189 + -1*x. Solve -n**2 + 3*n + z*n**3 - 3 = 0 for n.
3
Let i(p) be the first derivative of 7*p**4/12 - 46*p**3/9 - 77*p**2/2 - 30*p + 977. Suppose i(u) = 0. What is u?
-3, -3/7, 10
Solve -6924/5*j - 1/5*j**2 - 11985444/5 = 0.
-3462
Suppose -15 = -2*l - 4*a + 5, -37 = -5*l + 3*a. Let -3*p + 6*p - 10*p**2 + l*p**2 - 2 +