p**5/4 + 20401*p**4/2 - 74438*p**3 - 99372*p**2 + 11737*p. Factor d(v).
-3*(5*v + 2)*(23*v - 182)**2
Suppose -58/5*q**3 + 56/5*q - 24/5*q**2 + 24/5*q**4 + 0 + 2/5*q**5 = 0. Calculate q.
-14, -1, 0, 1, 2
Let m(g) be the second derivative of g**7/189 + 32*g**6/27 + 311*g**5/30 + 695*g**4/27 + 616*g**3/27 - 4915*g. Suppose m(c) = 0. What is c?
-154, -4, -1, 0
Let f(d) be the first derivative of -9/10*d**5 - 33 - 13/4*d**4 - 1/12*d**6 - 17/3*d**3 - 5/2*d - 21/4*d**2. Determine z, given that f(z) = 0.
-5, -1
Let h(q) be the third derivative of q**5/150 - 4*q**4/5 - 49*q**3/15 - 2*q**2 + 479. Factor h(p).
2*(p - 49)*(p + 1)/5
Let d = 2043 + -3439. Let y = -1396 - d. Factor -4/7*r**4 + 2/7*r**5 + y + 0*r**3 - 2/7*r + 4/7*r**2.
2*r*(r - 1)**3*(r + 1)/7
Let n = 296 - 291. Let a(x) = -2*x**4 + x**2 - x + 1. Let z(w) = 3*w**5 + 13*w**4 - 3*w**3 - 8*w**2 + 5*w - 5. Let o(b) = n*a(b) + z(b). Factor o(p).
3*p**2*(p - 1)*(p + 1)**2
Factor -2*a**2 + 1432/7 - 5008/7*a.
-2*(a + 358)*(7*a - 2)/7
Let n = -16090 - -16095. Let y(a) be the first derivative of 1022/25*a**n - 436/5*a**4 - 49/15*a**6 - 4784/15*a**3 - 1104/5*a**2 - 288/5*a + 36. Solve y(w) = 0.
-1, -2/7, 6
Let b = -4996 - -5000. Let v(p) be the third derivative of 0*p - 7/30*p**6 - 17/6*p**b + 9*p**2 - 2/105*p**7 - 4*p**3 + 0 - 17/15*p**5. Factor v(f).
-4*(f + 1)**2*(f + 2)*(f + 3)
Let c(y) be the second derivative of -y**6/15 + 3*y**5/10 + 31*y**4/2 + 205*y**3/3 - 300*y**2 + 2540*y. Factor c(s).
-2*(s - 12)*(s - 1)*(s + 5)**2
Let j(k) be the second derivative of -k**5/65 + 345*k**4/26 - 44548*k**3/13 - 67081*k**2/13 - 117*k - 2. Factor j(a).
-2*(a - 259)**2*(2*a + 1)/13
Let l(a) be the second derivative of 1323/2*a**2 - 96 + 21/2*a**3 + 1/16*a**4 - 2*a. Solve l(u) = 0.
-42
Suppose 3*l - 6 = -0. Suppose 2*y = l*v - 126, 5*v + 3*y + y - 315 = 0. Let i - 48 - v*i**2 + 27*i + 59*i**2 = 0. What is i?
3, 4
Let g(j) = 580*j**3 - 2860*j**2 + 935*j + 1540. Let l(q) = 53*q**3 - 260*q**2 + 85*q + 140. Let z(n) = 6*g(n) - 65*l(n). Factor z(s).
5*(s - 7)*(s - 1)*(7*s + 4)
Let x(s) be the third derivative of -s**6/960 - 7*s**5/24 - 413*s**4/192 - 137*s**3/24 + 1386*s**2. Determine d, given that x(d) = 0.
-137, -2, -1
Let p(v) be the third derivative of 9*v**4 - 29/15*v**5 + v**2 + 0 - 16/3*v**3 - 178/105*v**7 + 3/7*v**8 - 6*v - 36/5*v**6. Solve p(h) = 0.
-1, 2/9, 1/4, 4
Let u be ((-2)/(-3))/1 - 287/(-123). Solve 4*b**5 + 8*b**4 - 128*b**4 - 48*b**4 - 500*b**3 - 5059*b**2 - 5917*b**2 + 2852*b**u = 0.
0, 14
Let q = -2/25893 + 8663/414288. Let t(s) be the third derivative of -5/16*s**4 - 33*s**2 + 0 - q*s**6 + 5/12*s**3 + 1/8*s**5 + 0*s. Factor t(y).
-5*(y - 1)**3/2
Factor 74 + 75*p**2 - 1/2*p**3 - 297/2*p.
-(p - 148)*(p - 1)**2/2
Factor 72 + 127*q**2 - 48*q**2 - 44*q**2 - 34*q**2 + 27*q.
(q + 3)*(q + 24)
Find j, given that 16*j**2 - 4/9*j**3 + 6600 + 780*j = 0.
-15, 66
Let f(o) = 4*o**3 - 6*o**2 + 45*o + 7. Let a(l) = -6 - 45*l + 39*l**2 - 3*l**3 + 48*l**2 - 81*l**2. Let x(g) = 7*a(g) + 6*f(g). Factor x(p).
3*p*(p - 3)*(p + 5)
Suppose 102 = 4*z + 57 - 75. Let s(d) be the first derivative of -1/4*d**2 + 0*d + z - 1/8*d**4 - 5/12*d**3. Solve s(i) = 0.
-2, -1/2, 0
Find s, given that -2/5*s**5 + 374/5*s**2 - 218/5*s**3 + 16 + 10*s**4 - 284/5*s = 0.
1, 2, 20
Let l(u) be the first derivative of u**3/3 + 9*u**2 - 107*u - 159. Let v be l(-23). Solve 2/9*k**2 - 8/3*k + v = 0.
6
Let k(c) be the first derivative of -17*c**5/5 + 321*c**4/2 - 1995*c**3 - 722*c**2 - 2513. Factor k(v).
-v*(v - 19)**2*(17*v + 4)
Let g(w) = 12*w**3 + 118*w**2 + 113*w + 31. Let k(v) = v**3 + v**2 + v - 1. Let t = -259 - -254. Let x(q) = t*g(q) - 15*k(q). Let x(r) = 0. Calculate r.
-7, -2/3, -2/5
Factor -4*x + 3159 - 1209*x**2 - 1547 - 17*x**3 - 383*x**3 + x**4.
(x - 403)*(x - 1)*(x + 2)**2
Suppose -5 = -4*s + 251. Let b = s - 62. Factor 10*l**3 + b*l**2 + 10*l**4 - 32*l**5 - 2*l**3 + 36*l**5 + 0*l**2.
2*l**2*(l + 1)**2*(2*l + 1)
Let m(h) be the third derivative of -341*h**6/60 - 683*h**5/15 - 343*h**4/3 - 8*h**3/3 - 89*h**2. Find j such that m(j) = 0.
-2, -2/341
Let r(b) be the first derivative of -b**7/840 - b**6/480 + b**5/40 - 13*b**2/2 + 40. Let g(v) be the second derivative of r(v). Let g(x) = 0. Calculate x.
-3, 0, 2
Let b be (54/(-25))/((-17739)/206955). Factor -6/5*y**2 + 24*y + b.
-6*(y - 21)*(y + 1)/5
Let j(l) = -l**2 + 29*l + 6. Let n be j(27). Suppose -n = -11*y - 19*y. Factor -2/5 - 2/5*s + 2/5*s**3 + 2/5*s**y.
2*(s - 1)*(s + 1)**2/5
Suppose -x + 103 = -5*f, 0*f - 4*x = f + 29. Let r be 54/(-28)*-4 - 6/f. Factor 5*b**3 + 2*b**2 + 0*b**2 - 5*b**2 - r*b**3.
-3*b**2*(b + 1)
Suppose 12*r = 40 + 92. Suppose -23*u + 57 = r. Factor -2/3*c + 2/3*c**3 + 0 + 0*c**u.
2*c*(c - 1)*(c + 1)/3
Suppose -3*r = 15 - 48. Suppose 0 = -o - 5, -9*o = 3*b - r*o - 16. Factor u**b - 1/2*u**3 + 1/2*u - 1.
-(u - 2)*(u - 1)*(u + 1)/2
Let t(v) be the first derivative of -2*v**3/15 - 4*v**2 - 40*v - 1494. Let t(d) = 0. What is d?
-10
Let a be 48/10 - 5 - (-603)/15. Factor -53*s - 8 - 9*s + 4*s**3 - a + 4*s**2 + 30*s.
4*(s - 3)*(s + 2)**2
Let x(w) be the first derivative of -3*w**7/560 - 11*w**6/480 - w**5/32 + 95*w**3/3 - 81. Let y(v) be the third derivative of x(v). Factor y(j).
-3*j*(j + 1)*(6*j + 5)/4
Suppose 625 = -n - l, 5*n - l = -381 - 2726. Let j = n + 626. Solve 4/23*k**j + 0*k + 8/23*k**2 - 14/23*k**3 + 0 + 2/23*k**5 = 0 for k.
-4, 0, 1
Let h be -8 - ((-6)/(-27) - (-100)/(-45)). Let a be 44/12 + h/9. Find s such that 23*s + 10*s + s**a - 11*s**2 + 41 - 9*s - 5 = 0.
-1, 6
Factor 1095/2 + 5/4*u**2 - 2195/4*u.
5*(u - 438)*(u - 1)/4
Let i be 288/(-160) - (-102)/15. Let a(c) = -35*c**3 + c**2 - 1. Let y be a(-1). Solve 600*z - i*z**2 - 560*z - y + 0*z**2 = 0.
1, 7
Let s(w) = w**2 - 35*w + 62. Let q be s(33). Let p be (12/(-27) - (-187)/36) + q. Factor -1/4*g**4 + 0 - p*g**3 - 1/2*g**2 + 0*g.
-g**2*(g + 1)*(g + 2)/4
Suppose -10823 = 24*k - 10919. Factor -5/4*i**k + 15/4*i + 0 + 25/4*i**2 + 5/4*i**3.
-5*i*(i - 3)*(i + 1)**2/4
Let -2372/3*r**2 + 332/3*r**4 - 2368/3*r**3 + 0 - 440/3*r + 16*r**5 = 0. Calculate r.
-11, -2/3, -1/4, 0, 5
Let c = 11567 - 11567. Let r(w) be the first derivative of c*w**4 - 1/15*w**5 + 0*w**2 + 14 + 0*w + 1/9*w**3. Let r(s) = 0. What is s?
-1, 0, 1
Suppose 2*l = -7*y + 2*y + 5, -70 = -4*l + 2*y. Suppose -343*q**4 - 332*q**2 - l*q - 46*q**2 - 180*q**3 - 457*q**3 - 8 - 77*q = 0. Calculate q.
-1, -2/7
Let b(q) be the first derivative of 119*q**4 - 48*q**3 - 138*q**2 - 56*q + 4. What is t in b(t) = 0?
-7/17, -2/7, 1
Let k = -37487 + 10308909/275. Let j = k + 6/25. Determine x so that -4/11*x**2 - 2/11*x**5 + j*x**3 + 4/11*x**4 + 0*x + 0 = 0.
-1, 0, 1, 2
Suppose 11*p = 14*p - 45. Determine x so that -1027*x - 4*x**3 - 3*x**2 + 1031*x - 8 - 3*x**4 - x**4 + p*x**2 = 0.
-2, -1, 1
Let q(x) be the first derivative of -27*x**3 - 36*x + 93/2*x**2 + 67 - 3/5*x**5 + 27/4*x**4. Factor q(l).
-3*(l - 4)*(l - 3)*(l - 1)**2
Let h(s) be the first derivative of -5*s**6/3 - 143*s**5/15 - 203*s**4/12 - 6*s**3 + 22*s**2/3 + 8*s/3 - 7470. Solve h(q) = 0 for q.
-2, -1, -1/6, 2/5
Let j be 231/6*(-4 - (-32)/7). Solve -j*s - s - 400 - 12*s - s**2 - 5*s = 0 for s.
-20
Let v(s) be the first derivative of s**9/1008 - s**8/140 + 3*s**7/140 - s**6/30 + s**5/40 + 15*s**3 + 24. Let p(n) be the third derivative of v(n). Factor p(y).
3*y*(y - 1)**4
Let c = -449443 + 1349113/3. Factor -56/3*m - c - 1/3*m**2.
-(m + 28)**2/3
Let a(q) be the second derivative of -2*q**6/5 + 81*q**5/20 + 5*q**4/2 - 21*q**3/2 - 69*q - 3. Factor a(r).
-3*r*(r - 7)*(r + 1)*(4*r - 3)
Let o be (-60)/75*5/(-36). Let l(d) be the second derivative of o*d**3 + 0 - 1/18*d**4 - d + 2/3*d**2. Find h such that l(h) = 0.
-1, 2
Factor 325/2*z**2 - 1/2*z**3 + 13122 - 13284*z.
-(z - 162)**2*(z - 1)/2
What is d in 2/13*d**4 + 126/13 - 4/13*d + 4/13*d**3 - 128/13*d**2 = 0?
-9, -1, 1, 7
Find x, given that 779471*x**2 - 6*x**3 + 3*x**3 - 779477*x**2 = 0.
-2, 0
Let k = 59557/327140 + -7/29740. Solve 2/11*w + k*w**2 - 12/11 = 0 for w.
-3, 2
Let f(a) be the first derivative of -a**5/60 - 5*a**4/18 - 2*a**3/3 - a**2 + 15*a - 36. Let l(p) be the second derivative of f(p). Factor l(q).
-(q + 6)*(3*q + 2)/3
Suppose -4*a - 196*z = -193*z + 45, a + 5*z = -75. Let -12/7*j + 6/7*j**2 + a = 0. Calculate j.
0, 2
Let g(d) = 901*d 