*(n - 1)
Suppose 10383*v = 10412*v - 116. Solve 57/2*t**v + 3*t - 54*t**3 + 0 + 45/2*t**2 = 0 for t.
-2/19, 0, 1
Let h(o) = 11*o**3 + 3*o**2 + 61*o - 33. Let u(d) = -31*d**3 - 8*d**2 - 181*d + 101. Let k(s) = -17*h(s) - 6*u(s). Suppose k(m) = 0. What is m?
-9, 1, 5
Let i(f) be the first derivative of -2*f**5/15 - 11*f**4/12 + 7*f**3/9 + f**2 + 1054. Determine p so that i(p) = 0.
-6, -1/2, 0, 1
Factor 0 + 68*m + 4/5*m**2.
4*m*(m + 85)/5
Let o(r) be the second derivative of r**5/20 + 77*r**4/6 + 3040*r**3/3 + 5776*r**2 - 4934*r. Factor o(b).
(b + 2)*(b + 76)**2
Let z(k) be the second derivative of -k**8/1344 - k**7/126 - k**6/36 - 47*k**4/4 + 126*k. Let l(r) be the third derivative of z(r). Factor l(n).
-5*n*(n + 2)**2
Let r(d) = d**3 - 16*d**2 - 14*d - 51. Let l be r(17). Let x be (2 + l)*-3 - (-102)/14. Suppose -6/7*k + x + 1/7*k**2 = 0. Calculate k.
3
Let p(f) = 3*f + 23. Let t be p(10). Let n = 56 - t. Find k, given that -56*k**n - 4*k - 19*k + 100*k**2 - 28*k**4 + 8*k**3 - k = 0.
-3, 0, 2/7, 1
Let k be (-2 + 896/490)/(8/((-160)/12)). Suppose -k*f**5 - 26/7*f**2 + 12/7*f + 2/7*f**4 + 2*f**3 + 0 = 0. Calculate f.
-3, 0, 1, 2
Let m(t) = 2*t + 4. Let r be m(7). Factor -3*j - 9*j - 25 - r*j + 0*j - 5*j**2.
-5*(j + 1)*(j + 5)
Let g(l) be the second derivative of -l**4/96 + 119*l**3/6 - 14161*l**2 - 731*l. Determine k, given that g(k) = 0.
476
Let z(k) = -15*k**3 - 150*k**2 - 495*k + 300. Let v(t) = t**3 + t**2 - 2*t. Let o(y) = 21*v(y) + z(y). Suppose o(g) = 0. What is g?
-4, 1/2, 25
Let t = -56672 + 56674. What is j in -32/7*j**t + 72/7*j - 8/7*j**3 - 36/7 + 4/7*j**4 = 0?
-3, 1, 3
Let o(b) be the first derivative of 3*b**5/35 - 15*b**4 + 6624*b**3/7 - 165048*b**2/7 + 584016*b/7 + 1030. Factor o(g).
3*(g - 46)**3*(g - 2)/7
Let w be 1458/(-1215)*(-140)/63. Factor -434/15*y**2 - 98/15*y**3 + 272/15*y - w.
-2*(y + 5)*(7*y - 2)**2/15
Let j(f) be the first derivative of f**5 + 4*f + 162 + 1/8*f**4 - 3*f**3 - f**2 + 1/4*f**6. Determine a, given that j(a) = 0.
-2, -1, 2/3, 1
Let a(u) be the third derivative of u**7/70 + 9*u**6/40 - 7*u**5/40 - 41*u**3/3 - 6*u**2 + 4. Let j(f) be the first derivative of a(f). Factor j(z).
3*z*(z + 7)*(4*z - 1)
Let m(i) = 7*i**2 + 19*i - 39. Let x(p) = 45*p**2 + 115*p - 237. Let b(n) = -38*m(n) + 6*x(n). Find l, given that b(l) = 0.
3, 5
Let f(s) = 57*s**2 + 627*s + 1320. Let m(d) = 11*d**2 + 126*d + 264. Let x(c) = 4*f(c) - 21*m(c). What is w in x(w) = 0?
-44, -2
Let z = 124 + -116. Suppose -410*y + z = -406*y. Let 1/6*l**y + 0 - 1/6*l = 0. Calculate l.
0, 1
Suppose 3711/2*n + 7419/4 + 3/4*n**2 = 0. What is n?
-2473, -1
Suppose -2*b = -t + 12, 110*t - 22 = 109*t + 4*b. Suppose 0 = -2*x + 5*y - 11, -t*x - 21 + 28 = y. Factor -5/3*h**x - 4/3*h + 1/3.
-(h + 1)*(5*h - 1)/3
Let n be (-2)/(-27) - 1659/(-567). Let a be (-7)/14*n/(-6). Let -4 - a*x**2 - 2*x = 0. What is x?
-4
Factor -13*b - 3*b**2 + 6*b**2 + 226*b**3 - 227*b**3 - 30 + 13*b**2.
-(b - 15)*(b - 2)*(b + 1)
Let l be (-22)/(-8)*(-51148)/(-44418). Suppose -l*o - 7/2*o**2 + 13/2*o**3 + 35/6*o**4 + 1 = 0. Calculate o.
-1, 2/7, 3/5
Let u(r) be the third derivative of r**6/180 + r**5/60 - r**4/2 + 128*r**3/3 - 112*r**2. Let s(i) be the first derivative of u(i). Factor s(t).
2*(t - 2)*(t + 3)
Suppose 4*c + 5*w = 22, -6*w + 11*w - 7 = c. Let d(u) be the third derivative of 1/54*u**4 + 0 + 2/27*u**c - 7*u**2 + 1/540*u**5 + 0*u. Solve d(k) = 0 for k.
-2
Let j(r) be the third derivative of r**5/120 - 343*r**4/16 + 257*r**3/3 - 3*r**2 + 1095. Factor j(d).
(d - 1028)*(d - 1)/2
Let g(w) be the second derivative of 5*w**7/42 + 17*w**6/3 - 271*w**5/2 + 590*w**4/3 + 2705*w**3/6 - 1265*w**2 - 11979*w. Solve g(j) = 0.
-46, -1, 1, 11
Let g(i) be the third derivative of 1/84*i**4 - 1/35*i**5 - 18*i**2 + 0*i**3 + 0*i + 0. Factor g(u).
-2*u*(6*u - 1)/7
Let c be (-31072)/9710 + (-62)/(-10). Suppose -2/7*z**4 - 24/7*z**2 - 6/7 + 20/7*z + 12/7*z**c = 0. What is z?
1, 3
Let r(w) be the first derivative of 2*w**3/3 - 17*w**2 + 104*w - 1931. Find g such that r(g) = 0.
4, 13
Let b(m) be the first derivative of -7059649*m**4/6 - 14098042*m**3/9 + 10624*m**2/3 - 8*m/3 - 2672. Factor b(k).
-2*(k + 1)*(2657*k - 2)**2/3
Suppose 0 = 5*r - 34 - 26. Determine q, given that -3*q + 5*q**2 - q**2 + 35*q - r - 68 = 0.
-10, 2
Suppose -3*f - 26 = -i + 17, 0 = -2*i + 5*f + 87. Factor 24 + 6*d**4 + 19*d**3 + 5*d**3 - 3*d**4 + 17*d**2 + 118*d + i*d**2 - 52*d.
3*(d + 1)**2*(d + 2)*(d + 4)
Find l, given that -296/7 - 2/7*l**2 - 82/7*l = 0.
-37, -4
Let q = 626028/7 + -89431. Suppose -4*m + 11 = -x, -5*m + 0*x - 3*x = -18. Solve -1/7*s**5 + 3/7*s**4 + 12/7*s - 4/7 - q*s**2 + 1/7*s**m = 0.
-2, 1, 2
Let k be (-415)/498 - 47/(-6). Let l be (-1 - (-35)/49)*k/(-5). Factor -4/5*z + 2/5*z**2 - l + 4/5*z**3.
2*(z - 1)*(z + 1)*(2*z + 1)/5
Suppose 0 = 9*r - 4*r - 70. Suppose -5*h = r - 44. Suppose 32 + 18*g**2 + 4*g**3 + 13*g - 25*g - 36*g - h*g**3 = 0. Calculate g.
1, 4
Let j = -37 - -61. Determine u so that -4*u - 185 - 215 + 4*u**3 + j*u**2 + 376 = 0.
-6, -1, 1
Let p(y) be the second derivative of 0*y**3 + 0 + 80*y - 1/36*y**4 + 0*y**2. Factor p(u).
-u**2/3
Let i = -2428/7 - -352. Let p be (72/(-147))/(((-3038)/686)/31). Suppose -i + p*o + 1/7*o**3 + 11/7*o**2 = 0. What is o?
-6, 1
Let n be (13 - (-721)/(-56))*(-22696)/(-6). Let i = n - 472. Factor -20/3 + i*w**3 - 5*w**2 - 25/2*w.
5*(w - 8)*(w + 1)**2/6
Factor -926*b**2 + 934*b**2 - 4*b**3 - 2*b**4 - 2*b**4.
-4*b**2*(b - 1)*(b + 2)
Let v = 63138/78935 + 2/15787. Let c(y) be the third derivative of 1/105*y**7 - 24*y**2 + v*y**5 + 0*y - 2/15*y**6 + 16/3*y**3 + 0 - 8/3*y**4. Factor c(b).
2*(b - 2)**4
Solve 234807*o**2 + 140*o**3 + 4*o**5 - 72*o**4 - 384*o**3 - 234975*o**2 = 0 for o.
-2, -1, 0, 21
Suppose -58/11 + 2/11*t**2 - 56/11*t = 0. Calculate t.
-1, 29
Suppose -5*q = 3*a + 9, -q - 107*a + 110*a + 9 = 0. Suppose -2/9*r**4 + q - 10/9*r**3 - 14/9*r**2 - 2/3*r = 0. Calculate r.
-3, -1, 0
Factor -60*r**3 + 4*r**4 - 756*r + 797 - 149 + 1436653*r**2 - 1436329*r**2.
4*(r - 6)*(r - 3)**3
Let j(u) be the first derivative of 79 - 1/2*u**4 - 1/5*u**5 + 4/3*u**3 + 0*u + 4*u**2. Determine m so that j(m) = 0.
-2, 0, 2
Let n be (4/(-62))/((-138)/6417). Factor -1/3*m**5 + 1/3*m - 2/3*m**4 + 2/3*m**2 + 0*m**n + 0.
-m*(m - 1)*(m + 1)**3/3
Let s(p) be the first derivative of 0*p - 59 + 2/85*p**5 + 1/51*p**6 - 1/34*p**4 - 2/51*p**3 + 0*p**2. What is m in s(m) = 0?
-1, 0, 1
Let t = 1422 - 1416. Let r be (-612)/(-180) - t/15. Solve -11/6*y**r + 1/3*y**2 + 0 + 0*y = 0 for y.
0, 2/11
Let x(c) be the third derivative of -c**8/2352 + c**7/490 - c**6/840 - c**5/140 + c**4/84 + 41*c**2 - 14. Solve x(t) = 0.
-1, 0, 1, 2
Suppose 106 - 72 = 17*i. Suppose 3*g - 4*m = i, 4*g + 36*m - 9 = 35*m. Suppose -8*u**g + 4/3*u**3 + 0 + 0*u = 0. Calculate u.
0, 6
Let s = 1921 - 1925. Let k be 0*((-3 - s) + 0 - 2). Factor 1/2*q**2 + 0*q - q**3 + 1/2*q**4 + k.
q**2*(q - 1)**2/2
Let u = -28553/3 - -9519. Let c(s) be the first derivative of 25 + 16/9*s**3 + 1/3*s - u*s**2. Factor c(y).
(4*y - 1)**2/3
Let l = -79 - -84. Solve 6 - 22*m + 2*m**2 - 23 + l - 8*m**2 = 0 for m.
-3, -2/3
Let b(d) be the second derivative of 729/2*d**2 + 2 - 18*d - 9*d**3 + 1/12*d**4. Factor b(r).
(r - 27)**2
Let x(c) be the first derivative of 1/4*c**2 + 0*c + 46 + 1/6*c**3. Factor x(m).
m*(m + 1)/2
Suppose 0 = 11*l + 34*l - 2430. Let -3*f + 40 - 33*f + l + 4*f**2 - 22 = 0. What is f?
3, 6
Suppose 1511/2*n - 1/2*n**2 + 0 = 0. Calculate n.
0, 1511
Let x(o) = o**2 + 13*o - 14. Let a be x(-12). Let f = -2 - a. Suppose 5*v**2 - 10*v**2 + v**2 + 28 - f*v = 0. Calculate v.
-7, 1
Let f(u) be the first derivative of u**4/32 - 247*u**3/12 + 3782*u**2 + 15376*u - 8966. Suppose f(q) = 0. What is q?
-2, 248
Let k(i) = 2*i - 8. Let d be k(4). Suppose 5*s - 28 - 52 = d. Factor -7*u**3 - 30*u**2 + s - 16 + 2*u**3.
-5*u**2*(u + 6)
Let f = 288 + -247. Factor -6 + 28*r**2 + f*r**2 + 0 - 6 - 132*r.
3*(r - 2)*(23*r + 2)
Let z be (-38)/(-3705)*15*(46/(-24) + 3). Find k such that z*k**5 + 1/2*k - 2/3*k**3 - 1/3*k**4 + 1/3*k**2 + 0 = 0.
-1, 0, 1, 3
Let n(o) be the first derivative of -52 + 7/5*o**3 + 0*o + 3/5*o**2 + 9/20*o**4. Solve n(t) = 0 for t.
-2, -1/3, 0
Let u = -5064 + 50543/10. Let a = u - -21/2. Factor 8/5*c**4 - 2/5*c**5 - 18/5*c + a*c**3 - 24/5*c**2