d**6/25 + 3*d**5/50 - 3*d**4/5 - d**3/10 + 9*d**2/5 + 2*d + 751. Let u(p) = 0. What is p?
-1, 1, 6
Determine i, given that 27/7*i**2 - 50/7*i + 0 + 7*i**3 - 27/7*i**4 + 1/7*i**5 = 0.
-1, 0, 1, 2, 25
Suppose -5*a = -3*o + 29, -2*o + 6*o - 4 = -2*a. Find r, given that 9*r**4 - 36*r**2 + 98*r**5 - 12*r - 199*r**5 - 21*r**o + 107*r**5 = 0.
-2, -1, -1/2, 0, 2
Let x(m) be the first derivative of -m**4/2 - 62*m**3 - 2208*m**2 - 4232*m + 12393. Factor x(u).
-2*(u + 1)*(u + 46)**2
Let x = -46 - 4. Let g = -48 - x. Factor 8*s**2 - g*s**4 - 2*s**2 - s**3 - 5*s**2.
-s**2*(s + 1)*(2*s - 1)
Factor 492/5*d**2 - 96*d + 158/5 - 176/5*d**3 + 6/5*d**4.
2*(d - 1)**3*(3*d - 79)/5
Let g = -359149/50 - -7183. Let o(u) be the second derivative of 0 + 1/6*u**4 - 8/5*u**2 - 3*u - 2/15*u**3 - g*u**5. Let o(f) = 0. What is f?
-1, 2, 4
Let x(u) be the second derivative of 2*u**7/189 - 14*u**6/135 - u**5/15 + 55*u**4/27 + 100*u**3/27 - 5860*u. Solve x(w) = 0.
-2, -1, 0, 5
Let z(g) = g**2 + 52*g + 553. Let p be z(-14). Suppose 3*w - 3*m = p, 2*w = -m + 44 - 45. Let 2/9*c**4 + 0 + 0*c - 2/3*c**3 + 4/9*c**w = 0. Calculate c.
0, 1, 2
Let u(c) be the second derivative of c**7/189 + 13*c**6/45 + 7*c**5/2 - 49*c**4/2 - 260*c + 1. Factor u(m).
2*m**2*(m - 3)*(m + 21)**2/9
Let u(t) be the first derivative of 365*t**4/4 - 350*t**3/3 - 15*t**2/2 + 5553. Factor u(f).
5*f*(f - 1)*(73*f + 3)
Suppose -171*o + 185*o + 84 = 0. Let n(p) = -3*p**3 - 6*p**2 + 48*p - 48. Let v(h) = h**2 - 2*h. Let y(g) = o*v(g) - n(g). Factor y(a).
3*(a - 2)**2*(a + 4)
Let y(c) = 2*c**3 + 42*c**2 + 63*c - 15. Let f be y(-19). Let -f*v**2 + 119*v**2 + 112*v**2 - 7*v + 0*v = 0. What is v?
-7, 0
Let m(v) be the second derivative of v**2 + 1/5*v**5 - 11/18*v**3 + 0 - 2/45*v**6 - 209*v - 1/126*v**7 - 1/18*v**4. Factor m(q).
-(q - 1)**3*(q + 1)*(q + 6)/3
Let a = -173993 + 173995. Let -9 - 1/4*v**a - 15/4*v = 0. Calculate v.
-12, -3
Let f(x) be the second derivative of x**6/60 - 111*x**5/40 + 1369*x**4/8 - 50653*x**3/12 + 1546*x. Factor f(o).
o*(o - 37)**3/2
Let k(a) be the third derivative of a**6/90 + 23*a**5/45 - 49*a**4/18 + 50*a**3/9 - 170*a**2 - 2*a. Factor k(b).
4*(b - 1)**2*(b + 25)/3
Suppose -30*r + 540 = -21*r. Factor r*o + 6*o + 125 + 21*o**2 + 5*o**3 + 34*o**2 + 109*o.
5*(o + 1)*(o + 5)**2
Suppose -14*p = -15*p + 4. Factor -7180*k**2 + 9*k - 36*k**3 - 37*k + p*k**4 + 7240*k**2.
4*k*(k - 7)*(k - 1)**2
Let s(g) be the third derivative of g**7/252 - g**6/120 - g**5/30 - g**4/2 - 49*g**2. Let j(q) be the second derivative of s(q). Suppose j(h) = 0. Calculate h.
-2/5, 1
Find u, given that u**2 - 322*u**3 - 27 + 160*u**3 + 7*u**2 - 21*u - u**2 + 163*u**3 = 0.
-9, -1, 3
Let c(n) be the second derivative of 0*n**2 + 0*n**5 + 1/378*n**7 + 1/54*n**4 - 1/135*n**6 - 24*n - 1/54*n**3 - 3. What is i in c(i) = 0?
-1, 0, 1
What is j in 2/5*j**2 + 178/5*j + 516/5 = 0?
-86, -3
Let n = -1160407 + 8122852/7. Factor 3/7*m**3 + 0 - 6/7*m**2 + n*m.
3*m*(m - 1)**2/7
Let y = -22 - -24. Suppose 0 = -4*a - 3*l, -3*a + y*l = -13 - 4. Determine w, given that 9*w**2 - 6*w - 8*w**2 + 20*w**2 - 21*w**a + 6*w**4 = 0.
0, 1/2, 1, 2
Let p(s) be the third derivative of 0*s - 1/12*s**3 - 49*s**2 - 17/240*s**5 - 13/96*s**4 + 0 + 1/40*s**6. Factor p(r).
(r - 2)*(3*r + 1)*(4*r + 1)/4
Let z(w) = -634*w - 88124. Let r be z(-139). Factor -4/11*s**4 + 0 + 0*s**r - 1/11*s**5 - 3/11*s**3 + 0*s.
-s**3*(s + 1)*(s + 3)/11
Let j(f) be the second derivative of f**6/180 + f**5/60 - f**4/18 - f**3/18 + f**2/4 - 1788*f. Factor j(x).
(x - 1)**2*(x + 1)*(x + 3)/6
Factor -3*b**4 + 28*b**2 - 6*b**2 + 2*b**3 - 7*b**2 - 5*b**3 + 21*b**2.
-3*b**2*(b - 3)*(b + 4)
Let s = -33015/2 - -15565. Let l = -929 - s. Let 12*r**2 + 9*r + 3/2 - l*r**4 - 6*r**5 - 3*r**3 = 0. What is r?
-1, -1/4, 1
Solve 5/3*a**4 - 25/3*a**3 + 0 - 440/3*a - 290/3*a**2 = 0.
-4, -2, 0, 11
Let p(n) be the second derivative of -n**6/10 - 9*n**5/20 + 23*n**4/2 + 24*n**3 + 1067*n. Factor p(f).
-3*f*(f - 6)*(f + 1)*(f + 8)
Factor 675*q**3 + 52*q + 5*q**4 + 678 - 727*q - 681*q**2 + 6*q**4 - 8*q**4.
3*(q - 1)**2*(q + 1)*(q + 226)
Solve -208 - 92*o - 338 - 282*o**2 - o**3 - 2*o**3 - 733*o + 0*o**3 = 0 for o.
-91, -2, -1
Let t(n) = n**3 + 19*n**2 + 17*n - 19. Let u be t(-18). Let r = u - -5. Factor 64*m**4 - 63*m**4 - 3*m**2 - r*m + 6*m.
m*(m - 1)**2*(m + 2)
Let j = -6978294/13 - -536792. Factor -18/13*d**4 + 50/13*d**2 + 0*d + 0 - 30/13*d**3 - j*d**5.
-2*d**2*(d - 1)*(d + 5)**2/13
Let z(l) be the first derivative of l**6/4 + 9*l**5/5 - 33*l**4/8 - 30*l**3 + 75*l**2 - 2031. Factor z(v).
3*v*(v - 2)**2*(v + 5)**2/2
Suppose 9*p + 4*p = 52. Suppose -p*k + 22 - 2 = 0. Factor k + 0 + w**2 - 6.
(w - 1)*(w + 1)
Factor -30 - 1/4*i**2 - 43/4*i.
-(i + 3)*(i + 40)/4
Determine d so that -176/15 + 58/5*d + 2/15*d**2 = 0.
-88, 1
Let q(i) = -5*i + 35. Let b be q(-9). Suppose 8*v = 64 + b. Factor -24 + 2*t**2 + 52 + v*t + 3*t - 3*t.
2*(t + 2)*(t + 7)
Let a(k) = 381*k**2 - 922*k + 726. Let z(w) = -2*w**2 + w - 15. Let o(d) = -3*a(d) - 30*z(d). Factor o(u).
-3*(19*u - 24)**2
Let v(k) be the first derivative of k**7/315 - k**6/225 - k**5/50 + k**4/18 - 2*k**3/45 + 65*k - 55. Let d(r) be the first derivative of v(r). Factor d(i).
2*i*(i - 1)**3*(i + 2)/15
Let i(m) = -7*m**2 + 28487*m + 33474251. Let x(g) = -g**2 + 4746*g + 5579042. Let k(u) = 6*i(u) - 39*x(u). Factor k(z).
-3*(z + 2362)**2
Let p(v) be the third derivative of v**8/2240 - v**7/168 + v**4/12 - 67*v**3/3 - 75*v**2. Let s(k) be the second derivative of p(k). Factor s(n).
3*n**2*(n - 5)
Let t = -5227/40 + 654/5. Let f(s) be the third derivative of t*s**4 + 22*s**2 + 1/120*s**6 + 0*s**3 + 1/15*s**5 + 0 + 0*s. Suppose f(p) = 0. What is p?
-3, -1, 0
Determine j so that -57600 + 57599*j**2 - 480*j + 6710*j**4 + 6716*j**4 - 13425*j**4 + 480*j**3 = 0.
-240, -1, 1
Suppose -2*i + 0*i - 47 = -5*c, -c + 14 = -5*i. Suppose -12 = -c*b + 6*b, 4*a = -4*b + 16. Solve 4/9*f**2 + a + 16/9*f = 0 for f.
-4, 0
Let a be (-8727)/(-5) - (10 + 8 - 11). Let w = a - 1732. Find j, given that w*j**2 - 2/5 + 17/5*j**3 + 13/5*j = 0.
-1, 2/17
Let j(h) be the first derivative of -4*h**3/27 + 122*h**2/9 - 472*h/9 + 2843. Factor j(u).
-4*(u - 59)*(u - 2)/9
Let r be -5 + (1 + 1)/(13/104). Suppose -23*x + 68 = r*x. Suppose -8/7 - 4/7*o**x + 12/7*o = 0. Calculate o.
1, 2
Suppose 199 = -21*r + 1123. Factor 13*s**2 + 150*s - 27*s**2 - r + 8*s.
-2*(s - 11)*(7*s - 2)
Find p such that -12 - 4/3*p**3 - 18*p + 34/3*p**2 = 0.
-1/2, 3, 6
Let i be ((-114)/(-4))/(-36*(18 + (-6137)/340)). Factor -5/6*u**2 - 15 + i*u.
-5*(u - 18)*(u - 1)/6
Suppose 32 - 185 = -9*r. Determine y, given that -5*y**3 + 2*y + 0*y**3 + 15*y**2 - r*y + 5 = 0.
1
Find b such that -9530*b**3 + 4766*b**3 + 1604*b**2 + 4768*b**3 = 0.
-401, 0
Let p be -68 + 64 + 262/64. Let b(k) be the third derivative of -1/480*k**6 + 1/40*k**5 + 0*k**3 - p*k**4 + 34*k**2 + 0 + 0*k. Solve b(g) = 0.
0, 3
Let m(f) = 6*f**2 + 76*f - 31. Let g be m(-13). Let b be 2/(-16) + 8426/1232 + g. Let 4/7*p**2 + 8/7 - b*p = 0. What is p?
1, 2
Let k = 2272 - 2270. Let p(l) be the third derivative of 0*l + 0*l**3 + 0*l**4 + 1/30*l**6 - 4*l**k - 1/105*l**7 + 0 + 0*l**5. Factor p(y).
-2*y**3*(y - 2)
Let d(n) = -n**3 - 7*n**2 + 7*n - 6. Let j be d(-8). Suppose 0 = -b + 4 + j. Let -b*a + 5*a + a + 4*a**2 - 8*a = 0. Calculate a.
0, 2
Factor q**3 - 14*q + 82*q**2 - 312*q**2 + 78*q**2 - 48 + 78*q**2 + 81*q**2.
(q - 3)*(q + 2)*(q + 8)
Suppose -3*c - 2*u = -2, 0 = -c + 5*c + 4*u. What is x in -140*x - 20 - 417*x**c + 178*x**2 + 14*x**2 = 0?
-2/5, -2/9
Let n(v) = -v**2 + 30*v + 31. Let b be n(-1). Suppose b = -32*p + 33 + 31. Solve -3/4*f + 0 + 3/4*f**p = 0.
0, 1
Let v = -2917 - -2919. Let o(c) be the first derivative of 0*c**v - 11 + c**5 + 0*c + 4/3*c**3 + 2*c**4 + 1/6*c**6. Factor o(g).
g**2*(g + 1)*(g + 2)**2
Let n(k) be the first derivative of 8*k**3/15 + 133*k**2 + 332*k/5 + 1518. Factor n(d).
2*(d + 166)*(4*d + 1)/5
Let m(x) be the second derivative of -x**4/6 - 293*x**3/3 + 888*x**2 - 399*x + 2. Solve m(s) = 0 for s.
-296, 3
Let m(y) = 12*y**2 + 80*y + 320. Let q be m(-4). Let o be 1 + q/(-396) + (-8)/44. Factor 0 + o*k**2 - 10/3*k.
k*(k - 10)/3
Let n be (-1)/((-40)/11) + (-7505)/(-75050). Let n*l**3 + 1/4*l**2 - 7/8*l + 1/4 = 0. What is l?
-2, 1/3, 1
Let m = 362 + -360. Fac