of 2*g**3 + 0*g + 5/8*g**4 + 1/20*g**m + 0 + 18*g**2. Factor c(h).
3*(h + 1)*(h + 4)
What is u in -u**4 - 419 - 928*u - 362867*u**2 + 110 + 361937*u**2 - 312*u**3 = 0?
-309, -1
Let s(z) be the first derivative of -243*z - 297/2*z**2 - 3/4*z**4 + 89 - 19*z**3. Factor s(p).
-3*(p + 1)*(p + 9)**2
Let r = 11 + 0. Suppose -4*s = g - 8, -2*s - s = 5*g + r. Let -2*p**3 + p**3 - 6*p**3 + 4*p**s - 6*p**2 = 0. What is p?
-2, 0
Suppose -5*d + 1933 = 1938. Let q be (8 + 369/(-45))/d. Determine x, given that 0*x**3 - q*x**2 + 1/5*x**4 + 0*x + 0 = 0.
-1, 0, 1
Let 0 - 57/7*m**4 - 363/7*m**2 + 402/7*m**3 + 18/7*m = 0. Calculate m.
0, 1/19, 1, 6
Suppose -5*i + c = -19, 6*c = 2*i + c - 26. Suppose -i*t = y - 13, -y + 1 = -0*y. Factor 35*f**4 - 21*f**4 - 6*f - 2*f**2 + 6*f**3 - 12*f**t.
2*f*(f - 1)*(f + 1)*(f + 3)
Let i(p) be the second derivative of 11*p**4/32 + 2231*p**3/16 - 609*p**2/8 + 51*p + 2. Suppose i(b) = 0. What is b?
-203, 2/11
Factor 3616/5*t - 18/5*t**3 + 264*t**2 + 2432/5.
-2*(t - 76)*(3*t + 4)**2/5
Factor 1/3*d**3 + 5287/3*d**2 + 6985448/3*d - 6990736/3.
(d - 1)*(d + 2644)**2/3
Let j = -1846 + 1846. Let a(z) be the first derivative of 3*z**2 - 1/2*z**4 - 4*z + j*z**3 + 19. Determine q so that a(q) = 0.
-2, 1
Let o(n) = -n**2 + 26*n + 275. Let k be o(-8). Let h(w) be the first derivative of 11 - 3/2*w**3 + 15/4*w**2 + 3/10*w**5 - 3/8*w**4 - k*w. Factor h(y).
3*(y - 1)**3*(y + 2)/2
Let i(o) be the first derivative of -7/12*o**2 - 1/2*o**3 - 59 - 1/30*o**5 - 1/3*o - 5/24*o**4. Factor i(j).
-(j + 1)**3*(j + 2)/6
Suppose 4941451*g + 138 = 4941497*g. Factor -800/3*k**4 + 40/3*k**g + 32/3*k**2 + 0 + 2/3*k.
-2*k*(4*k - 1)*(10*k + 1)**2/3
Find x such that 22/9*x**3 + 20/9*x**2 + 2/9*x**4 + 0 + 0*x = 0.
-10, -1, 0
Let a(c) be the first derivative of -c**6/180 - c**5/60 + c**3/18 + c**2/12 - 84*c + 93. Let i(l) be the first derivative of a(l). Find p, given that i(p) = 0.
-1, 1
Suppose 8*i - 3101 = 15*i. Let o = i + 447. Suppose 1/4*d**o + 0 + 0*d + 1/4*d**3 - 1/2*d**2 = 0. Calculate d.
-2, 0, 1
Let q(h) = 510*h + 3062. Let z be q(-6). Let b(y) be the second derivative of 1/8*y**2 - 1/96*y**4 + z*y + 0 + 1/48*y**3. Factor b(f).
-(f - 2)*(f + 1)/8
Let x(k) = -28*k**2 + 2744*k - 1266. Let v(z) = -86*z**2 + 8232*z - 3808. Let b(f) = 5*v(f) - 16*x(f). Factor b(u).
2*(u - 152)*(9*u - 4)
Let 0*f + 810*f**2 + 495*f**3 + 95/2*f**4 + 0 + 5/4*f**5 = 0. What is f?
-18, -2, 0
Let h be 6/39 - 204/(-26). Suppose -h*l = -8 - 16. Factor 10*f + 6*f**3 - 12*f**2 - 8 + 20*f**4 + 18*f + 9*f**3 - 43*f**l.
4*(f - 1)**2*(f + 1)*(5*f - 2)
Let y = -2/201 - -814/1005. Let b be 42 + -74 + 13 - 291/(-15). Find v, given that y*v**2 + b*v - 2/5*v**3 - 4/5 = 0.
-1, 1, 2
Suppose -145*z - 229 + 152 = 126*z - 890. Solve -1/4*s**4 + 185193*s - 9747/2*s**2 - 10556001/4 + 57*s**z = 0 for s.
57
Determine k, given that -2*k**4 - 135736*k - 307312 - 52561 - 9348*k**2 + 30641 - 234*k**3 = 0.
-38, -3
Let f(l) = -l**3 - 73*l**2 + 2154*l + 153922. Let b be f(-74). Let s = 2 - 2. Find w, given that -2/5*w**4 + 0 + s*w - 2/5*w**3 + 0*w**b = 0.
-1, 0
Let y(i) = 177*i**2 + 80*i + 88. Let d(u) = 35*u**2 + 16*u + 16. Let p(b) = -11*d(b) + 2*y(b). Suppose p(m) = 0. Calculate m.
-16/31, 0
Suppose -368*r = 39*r - 3256. Let c(i) be the third derivative of r*i**2 + 0*i - 1/156*i**4 - 1/780*i**6 + 0 + 0*i**3 + 1/195*i**5. Factor c(k).
-2*k*(k - 1)**2/13
Let q(r) be the third derivative of 1/4*r**5 + 27*r**2 + 0*r + 5/6*r**4 - 1/24*r**6 + 0*r**3 + 0. Suppose q(x) = 0. Calculate x.
-1, 0, 4
Let m(n) be the first derivative of n**5/50 - 37*n**4/30 - 38*n**3/15 - 88*n - 32. Let x(u) be the first derivative of m(u). Find v, given that x(v) = 0.
-1, 0, 38
Let b(z) be the second derivative of 4*z**6/75 + 19*z**5/50 - 29*z**4/5 + 68*z**3/3 - 40*z**2 + 956*z - 1. Solve b(m) = 0 for m.
-10, 5/4, 2
Suppose 10 = 5*g - m - 3, -20 = -4*g + 4*m. Suppose -4 = -n - 2, g*r = 4*n - 6. Factor -9 + 6 - 6 - 6*d**2 + 16*d + r.
-2*(d - 2)*(3*d - 2)
Suppose 33*t + 7 = 32*t, -i + 2*t = -t - 21. Let 4*d**3 + i - 14/17*d**4 + 0*d - 16/17*d**2 - 98/17*d**5 = 0. What is d?
-1, 0, 2/7, 4/7
Let o(i) = -6*i**2 - 2*i**2 + 394 - 574 - 2*i**2 + 79*i. Let f(w) = -2*w**2 + 16*w - 36. Let k(g) = 11*f(g) - 2*o(g). Solve k(m) = 0 for m.
3, 6
Let g be (19616/48)/(10/15). Factor -16*l**4 + 4*l**5 - 605 + g + 0*l + 16*l**3 + 8*l**2 - 20*l.
4*(l - 2)*(l - 1)**3*(l + 1)
Let p be (-6)/39 + 418/13. Let j = 36 - p. Determine u so that 4*u**j - 16*u**3 + 36 + 18*u - 4*u + 37*u - 8*u**2 - 3*u = 0.
-1, 3
Solve -792100 - 1/4*q**2 + 890*q = 0 for q.
1780
Let i(s) be the first derivative of -3*s**4/16 + 21*s**3 - 123*s**2/2 + 3561. Let i(k) = 0. Calculate k.
0, 2, 82
Let o be 3/21 - 102/432*(-78)/14. Let c(d) be the second derivative of -5/48*d**4 + 5*d**2 - o*d**3 + 2*d + 0. Let c(r) = 0. What is r?
-8, 1
Let v be -7 - 1 - 22*(-97)/194. Find o such that -31/5*o**2 + 0 - o**v - 6/5*o = 0.
-6, -1/5, 0
Let a(b) be the first derivative of b**5/5 + 3*b**4 + 14*b**3 + 26*b**2 + 21*b + 2362. Factor a(f).
(f + 1)**2*(f + 3)*(f + 7)
Let w(i) be the third derivative of 7/600*i**6 - 1/40*i**4 - 3/5*i**3 + 2 + 32*i**2 + 1/1050*i**7 + 0*i + 13/300*i**5. Factor w(t).
(t - 1)*(t + 2)*(t + 3)**2/5
Solve 17*t - 280*t**2 + 3046*t**5 - 130*t**4 - 2*t - 3031*t**5 + 330*t**3 + 50 = 0 for t.
-1/3, 1, 2, 5
Suppose 635*c - 3*v = 638*c, 5*c = 5*v + 50. Let w(h) be the first derivative of 2/5*h**c - 18 + 1/2*h**4 + 0*h - h**2 - 2/3*h**3. Solve w(p) = 0 for p.
-1, 0, 1
Let a = -33 - -36. Let b(r) = 18*r**3 + 20*r**2 - 58*r + 12. Let u(g) = -17*g**3 - 21*g**2 + 56*g - 12. Let z(h) = a*b(h) + 4*u(h). Factor z(s).
-2*(s - 1)*(s + 3)*(7*s - 2)
Let w = -24 - -28. Suppose 5*b**2 + 16 + 36*b + w*b**3 + 8*b**2 + b**2 + 10*b**2 = 0. What is b?
-4, -1
Let g(h) be the first derivative of -27*h**4/16 - 137*h**3/12 - 55*h**2/4 + 5995. Suppose g(t) = 0. What is t?
-110/27, -1, 0
Let a be (-10)/(-65) - (-672)/26. Suppose 3*i + 8*g = 4*g + 82, g = -i + a. Determine h so that -i*h**2 - 8*h - 2*h**3 - 18*h**2 - 19*h**2 + 67*h**2 = 0.
0, 2
What is o in -48*o + 55*o**4 + 186 + 175*o**3 - 84*o**2 - 52*o - 436*o**2 - 186 = 0?
-5, -2/11, 0, 2
Let b be 10/(-50) + 9948/440. Let o = b + -98/11. Let -9/2*l + o + 3*l**3 + 3/2*l**5 + 15/2*l**4 - 21*l**2 = 0. What is l?
-3, -1, 1
Let p(a) = -3*a**2 + 8*a - 2. Let z(t) = -20*t**2 + 48*t - 13. Suppose -3*i + 0*i - 125 = -2*v, 5*i = 3*v - 207. Let x(r) = i*p(r) + 6*z(r). Factor x(d).
-3*d*(d + 8)
Let x(v) be the third derivative of 0*v + 0 - 43*v**2 + 1/70*v**5 + 0*v**3 - 8/7*v**4. Let x(f) = 0. Calculate f.
0, 32
Let h = 200 - 180. Find j such that 9*j**3 - 8*j**3 - 1 - 4*j + 21*j**2 - h*j**2 + 3*j = 0.
-1, 1
Let s(v) be the third derivative of 5/36*v**4 - 1/180*v**5 + 2*v + 0 + 0*v**3 + 47*v**2. Determine u, given that s(u) = 0.
0, 10
Factor -2*f**5 - 12*f**3 - 18050*f - 5320*f**2 + 52663 - 26328 - 15*f**4 - 26335 + 71*f**4.
-2*f*(f - 19)**2*(f + 5)**2
Let s(n) be the second derivative of 46*n - 5/2*n**3 + 2 + 3*n**2 - 7/4*n**4. Solve s(y) = 0 for y.
-1, 2/7
Let v(w) be the third derivative of -w**5/240 - 505*w**4/48 - 255025*w**3/24 - 1472*w**2. Factor v(t).
-(t + 505)**2/4
Let m be (14 - 2)*2/8. Factor 6*g - m*g**2 - 12*g + 21*g**5 + 32*g**3 + 13*g**3 - 57*g**4.
3*g*(g - 1)**3*(7*g + 2)
Let w(k) be the second derivative of k**6/180 + 49*k**5/120 + 35*k**4/18 + 23*k**3/9 - 4*k + 37. Factor w(h).
h*(h + 1)*(h + 2)*(h + 46)/6
Let g(l) be the first derivative of 4*l**4/7 + 28*l**3/3 + 14*l**2 - 264*l/7 - 10149. Suppose g(p) = 0. Calculate p.
-11, -2, 3/4
Determine h, given that 2/5*h**2 + 0 - 728/5*h = 0.
0, 364
Suppose -m - 5*j + 10 = 8, 4*j = 0. Suppose -4 = -5*i + 6. Find l, given that l + l**m - 2 + 5*l**i - 5*l**2 = 0.
-2, 1
Suppose 9*a = -25 - 29. Let x be 9/189*a*3/(-3). Factor -x*y**2 + 36/7*y - 162/7.
-2*(y - 9)**2/7
Let u(x) = -9*x**3 - 32*x**2 + 62*x. Let f(k) = -68*k**3 - 223*k**2 + 433*k. Let n(c) = 2*f(c) - 15*u(c). Determine i so that n(i) = 0.
0, 2, 32
Let f(q) be the second derivative of 3*q**5/100 + 9*q**4/5 - 39*q**3/10 - 111*q**2/5 - 2*q - 54. Let f(c) = 0. Calculate c.
-37, -1, 2
Let h(q) be the first derivative of -1/6*q**3 + 0*q - 13 + 5/16*q**4 - 3/8*q**2. Find x, given that h(x) = 0.
-3/5, 0, 1
Let y(z) be the third derivative of -z**7/42 + z**