-5*r(g) + 12*x(g). Factor j(n).
4*(n - 1)*(n + 52)**2
Solve 47 + 4*t**2 - 120*t - 5*t**2 - 12*t**4 + 30*t**3 - 4*t**2 + 7*t**4 + 53 = 0 for t.
-2, 1, 2, 5
Determine j, given that -32 - 48/5*j**2 - 2/5*j**3 - 168/5*j = 0.
-20, -2
Suppose -9*i - 15 = -51. Suppose -36*w = -34*w - i. Let 0 + 0*m + 1/2*m**w + 13/4*m**3 = 0. Calculate m.
-2/13, 0
Let c = -190/13 - -3813/260. Let g(a) be the first derivative of 1/4*a**2 + a - 5/12*a**3 + c*a**5 + 1/48*a**6 + 6 - 5/32*a**4. Let g(h) = 0. Calculate h.
-2, -1, 1, 2
Let m be (6 - 8) + 6/3. Suppose m = -u + 16 - 5. Factor u*i**4 + 80*i**3 + 8*i**2 + 24*i**4 + 10*i**2 + 2*i**2.
5*i**2*(i + 2)*(7*i + 2)
Suppose 0 = -4*f + 3*u - 43, 3*f + u = 12 + 11. Find k such that -24 + 64/3*k + 2*k**3 + 62/3*k**f = 0.
-9, -2, 2/3
Suppose -4 = -q + 4. Let 16*l**3 - q + 8 - 36*l**2 - 40*l - 3 + 15 = 0. Calculate l.
-1, 1/4, 3
Factor 0*c + 217800/7*c**2 + 0 + 1322/7*c**4 + 2/7*c**5 + 219120/7*c**3.
2*c**2*(c + 1)*(c + 330)**2/7
Let 287 - z**3 + 4438*z + 13 - 8*z**2 - 12*z**2 + 6*z**3 - 4523*z = 0. What is z?
-4, 3, 5
Let c = -5 - -13. Suppose 0 = 5*u - 3*u - c. Let b(t) = -5*t**2 + 8*t - 32. Let m(h) = 6*h**2 - 7*h + 31. Let g(v) = u*m(v) + 5*b(v). Factor g(w).
-(w - 6)**2
Find d, given that 14/9*d**2 + 28/9*d + 2/9*d**3 + 16/9 = 0.
-4, -2, -1
Factor 10*v**3 - 7*v**2 - 93*v**4 - 9*v + 4*v + 26*v**4 - 13*v + 66*v**4.
-v*(v - 9)*(v - 2)*(v + 1)
Let f be (-1680)/945 + 328/144. Let j = -12 + 12. Determine x, given that -3/2*x**2 + f*x**4 + j*x**3 + 0 + x = 0.
-2, 0, 1
Let w(m) = -7*m**3 + 11*m**2 - 5*m - 11. Let c(j) = 40*j**3 - 65*j**2 + 30*j + 65. Let g(o) = 6*c(o) + 35*w(o). Solve g(p) = 0 for p.
-1, 1
Factor -176/5*i + 89/5*i**3 + 0 - 1/5*i**4 - 86/5*i**2.
-i*(i - 88)*(i - 2)*(i + 1)/5
Determine b, given that 0*b - 2/25*b**5 - 38/25*b**3 + 22/25*b**4 + 18/25*b**2 + 0 = 0.
0, 1, 9
Let f(n) be the second derivative of -n**7/24 + 9*n**6/20 + 57*n**5/40 - 77*n**4/12 + 31*n**3/8 + 27*n**2/4 + 11089*n. Find h such that f(h) = 0.
-3, -2/7, 1, 9
Let t = -243/70 - -369/70. Let b(k) be the first derivative of 0*k + 21/4*k**4 - t*k**5 - 35 - 5*k**3 + 3/2*k**2. Factor b(g).
-3*g*(g - 1)**2*(3*g - 1)
Let n(d) be the second derivative of -d**5/30 - 20*d**4/3 - 1276*d**3/3 - 13456*d**2/3 + 3*d + 166. Solve n(x) = 0.
-58, -4
Find m, given that -676 - 54*m - 1479*m**3 + 274*m + m**4 + 1460*m**3 + 76 + 74*m**2 = 0.
-3, 2, 10
Suppose 0 = -11*f - 33*f + 396. Let c be (f/(-3))/((-351)/52). Suppose 0*d**2 + 2/3*d - 2/9*d**3 + c = 0. What is d?
-1, 2
What is r in 52*r**5 + 789*r**4 + 377*r**3 + 586*r**4 + 39*r**5 - 96*r**5 - 1747*r**3 = 0?
0, 1, 274
Determine s, given that -168 - 136*s + 13*s**2 + 300 - 9*s**2 = 0.
1, 33
Suppose -2*o - 46 = 4*i, -i - 3*o = -4 + 23. Let g be 40/6*12*(-2)/i. Factor -21*y - 2*y**2 - g*y + 37*y.
-2*y**2
Let d be 2 + (8 - (4 + 4)). Factor -d*l**2 + 29 - 2*l**2 - 54 + 34*l + 2*l**2 - 59.
-2*(l - 14)*(l - 3)
Let m be -51 - (-44 + (-38 - -28)). Factor -3*k + 9*k**2 + 0 + 21/4*k**m.
3*k*(k + 2)*(7*k - 2)/4
Let z = 38/3935 + -6434553/1715660. Let a = 1/109 - z. Let a*x**3 - 21/4*x**2 + 3/2*x + 0 = 0. Calculate x.
0, 2/5, 1
Suppose 106*m + 40 = 228*m - 112*m. Find x such that -2/7*x**m + 0 - 4/7*x**2 + 6/7*x**3 + 0*x = 0.
0, 1, 2
Let c be (-13 - (-17 - -4))*-2*2/4. Let g(s) be the second derivative of -10*s + c + 1/8*s**3 - 1/48*s**4 + 0*s**2. Solve g(x) = 0.
0, 3
Let i be (-372)/(-14) + -18 + -1 + -3. Solve -i*j + 0 + 34/7*j**2 - 2/7*j**3 = 0 for j.
0, 1, 16
Factor -10077 - 25185*y + 720*y**2 - 31759 - 5*y**3 - 11454.
-5*(y - 73)**2*(y + 2)
Let j(p) be the third derivative of p**6/120 + 19*p**5/40 + 14*p**3 + 2*p**2 + 5. Let t(c) be the first derivative of j(c). Factor t(f).
3*f*(f + 19)
Suppose 8*c = -5*c + 26. Let i be 1 + 1 - (-2 + -6). Find o, given that -25*o**c - 12*o**4 + 22*o**4 - 15*o**4 + i*o**3 + 10*o**3 + 10*o = 0.
0, 1, 2
Let f(a) be the second derivative of a**6/60 + a**5/40 - 55*a**4/8 + 1075*a**3/12 - 500*a**2 - a + 3300. Solve f(b) = 0.
-16, 5
Suppose 0 = -14*c + 18*c - 8. Solve 64*t**3 + 16*t**4 + 24*t**c - 116*t**3 + 15*t**5 - 3*t**5 = 0.
-3, 0, 2/3, 1
Let o(g) = -3*g + 97. Let v be o(20). Factor 2*f**5 - f**5 + 16*f - 4*f**3 + 10*f**4 + 40*f**2 + v*f**3.
f*(f + 1)**2*(f + 4)**2
Let i(x) be the second derivative of 16/11*x**2 + 0 - 3/220*x**5 + 4/33*x**4 + 10/11*x**3 - 195*x. Factor i(b).
-(b - 8)*(b + 2)*(3*b + 2)/11
Let b(z) be the third derivative of -z**5/420 - 13*z**4/8 + 137*z**3/21 + 714*z**2. Factor b(t).
-(t - 1)*(t + 274)/7
Suppose -4*h - 129 = -117, -5*h - 399 = -n. Let x(a) be the first derivative of n*a + 3/16*a**4 + 72*a**2 - 26 + 6*a**3. Solve x(l) = 0.
-8
Suppose 113 = 5*x - 37. Factor -46*o**4 - 34*o**3 + 11*o**5 - x*o**3 - 21*o**5 - 18*o**2 - 6*o**2.
-2*o**2*(o + 2)**2*(5*o + 3)
Factor 4461652*j**3 + 10*j**4 + 18*j - 4461558*j**3 + 2*j**4 - 124*j**2.
2*j*(j - 1)*(j + 9)*(6*j - 1)
Let j(x) be the second derivative of -57/2*x**6 - 225/14*x**7 + 0*x**2 - 48/5*x**5 - 89*x + 0*x**3 + 2 - x**4. Let j(g) = 0. What is g?
-1, -2/15, 0
Factor 273 + 36 - 13 + 2130*q + 249 - 1590*q - 5*q**2.
-5*(q - 109)*(q + 1)
Let 284434*h**2 - 28*h**5 + 50*h**3 - 284128*h**2 - 7*h - 15*h - 306*h**4 = 0. What is h?
-11, -1, 0, 1/14, 1
Let g(z) be the third derivative of z**9/30240 - z**8/1680 + z**7/315 + z**5/60 + 17*z**3/6 - 71*z**2. Let m(s) be the third derivative of g(s). Factor m(u).
2*u*(u - 4)*(u - 2)
Let -133 + a**2 + 5*a**2 - 443 - 9*a**2 - 1155*a - 3*a**2 = 0. What is a?
-192, -1/2
Let g(f) be the second derivative of -f**7/3 - 157*f**6/135 - 17*f**5/45 + 26*f**4/27 - 8*f**3/27 + 10*f + 2. Determine q so that g(q) = 0.
-2, -1, 0, 2/9, 2/7
Let l(v) be the first derivative of 10 + 0*v - 5/3*v**3 - 1/1440*v**6 + 0*v**4 + 0*v**2 + 1/240*v**5. Let a(u) be the third derivative of l(u). Factor a(g).
-g*(g - 2)/4
Let p(v) = 3*v**2 - v. Let n be p(1). Suppose 3*y = 4*i - 605, i + n*i - 4*y = 452. Factor -i*j**2 - 2*j**4 + 74*j**2 + 3*j**3 + 77*j**2.
-j**2*(j - 1)*(2*j - 1)
Let v(z) be the first derivative of 16/5*z - 2/15*z**3 + 7/5*z**2 + 5. Let v(k) = 0. Calculate k.
-1, 8
Let s be 48*((-51)/12 - -5). Suppose s*b**3 - 182*b**4 + 33*b**2 - 179*b**4 + 6*b - 12*b**5 + 358*b**4 = 0. What is b?
-1, -1/4, 0, 2
Find p, given that -3*p**3 - 2*p**3 + 339036*p**2 - 339116*p**2 + 400*p = 0.
-20, 0, 4
Let c(l) be the second derivative of l**6/6 + 33*l**5/2 + 5765*l**4/12 + 1760*l**3 + 2560*l**2 - 3*l - 70. Suppose c(s) = 0. What is s?
-32, -1
Suppose 0 = 85*i + 94*i - 183*i + 8. Factor -8/9 - 2/9*t**i - 10/9*t.
-2*(t + 1)*(t + 4)/9
Let a be (3 - -1)/(-2) + -1. Let l = 27 + a. What is b in 4 + 4*b**4 - 26*b**2 + l*b**2 - 4 - 2*b**3 = 0?
-1/2, 0, 1
Let w(t) be the first derivative of 2*t**3/3 + 6*t**2 + 16*t - 4764. Suppose w(x) = 0. Calculate x.
-4, -2
Let c(t) = 2. Let g(a) = 5*a**2 + 275*a - 554. Let j(m) = 8*c(m) - g(m). Determine x so that j(x) = 0.
-57, 2
Let t(f) = 6*f**3. Let k(z) = z**3. Let w be (-3)/5 + (0 - 306/15). Let b(x) = w*k(x) + 3*t(x). Factor b(o).
-3*o**3
Let n be (22/(-5))/(30/25 + -1). Let q = n + 26. Determine p, given that q*p**4 - 4 + 29*p**2 + 36*p**3 + 140*p + 36*p + 100 + 91*p**2 = 0.
-3, -2
Let s(d) = 18905*d + 170148. Let v be s(-9). Determine r so that -4/9*r**4 - 1/9*r**5 - 1/3*r**v + 4/9*r + 4/9*r**2 + 0 = 0.
-2, -1, 0, 1
Let r be 13 + (-114)/4*-37*(-28)/3108. Determine z, given that -1/2*z**3 + 0 - r*z**2 + 0*z = 0.
-7, 0
Let p(m) = -m**4 + 3*m**3 + 7*m**2 + 13*m - 2. Let d(j) = -j**4 + 2*j**3 + 6*j**2 + 11*j - 1. Suppose -s - 36 = 11*s. Let t(w) = s*p(w) + 4*d(w). Factor t(g).
-(g - 2)*(g + 1)**3
Factor -540225/4*m + 44118375/4 - 3/4*m**3 + 2205/4*m**2.
-3*(m - 245)**3/4
Suppose -6 = 209*w - 212*w. Suppose -h - 3*o = 7, -h - h = 3*o + w. Factor 4/5*y**h + 0 + 8/5*y**2 + 0*y - 12/5*y**3 + 0*y**4.
4*y**2*(y - 1)**2*(y + 2)/5
Let h(k) be the first derivative of -4*k**7/945 - k**6/108 - k**5/270 - 47*k**2/2 - 72. Let g(w) be the second derivative of h(w). Let g(x) = 0. Calculate x.
-1, -1/4, 0
Let h(c) be the third derivative of 0*c**6 - 1/70*c**7 + 0*c**4 + 0*c**3 - 111*c**2 + 0*c + 0 + 1/20*c**5. Factor h(w).
-3*w**2*(w - 1)*(w + 1)
Let s(a) be the first derivative of -7 + 27/2*a**2 + 1/4*a**4 + 3*a**3 + 4*a. Let u(g) be the first derivative of s(g). What is v in u(v) = 0?
-3
Let l(r