**2 + 2*c - 1. What is j in i(j) = 0?
-1/3, -2/7, 0, 174
Let h(r) be the first derivative of r**6/16 + 39*r**5/40 + 33*r**4/16 - r**3/4 - 69*r**2/16 - 33*r/8 - 607. Determine m so that h(m) = 0.
-11, -1, 1
Let w(n) be the first derivative of n**3/9 - 473*n**2/2 - 2842*n/3 - 10160. Factor w(l).
(l - 1421)*(l + 2)/3
Suppose j = -3, -5*l + 125 = 5*j - 100. Let q = l + -46. Factor 3*u**2 - 12*u - 3*u**q - 3*u**2.
-3*u*(u + 4)
Suppose -1/5*j**2 - 112/5 - 58/5*j = 0. Calculate j.
-56, -2
Let b be ((-6)/(-10))/(33 + -30). Let q = 220/13 - 1087/65. Suppose b*t**3 + 0 - 2/5*t + q*t**2 = 0. Calculate t.
-2, 0, 1
Let p(a) be the second derivative of a**6/40 - 9*a**5/2 + 225*a**4 + 6*a - 185. What is k in p(k) = 0?
0, 60
Suppose -3*p = 4*z - 5*z - 15, 3*z + 21 = 3*p. Factor 44*l - 34*l**4 + 18 + 31*l**p - 2*l**2 - 5*l + 23*l**2 - 3*l**3.
-3*(l - 3)*(l + 1)**2*(l + 2)
Suppose s + 13 = -4*y, -295*y + 14 = 2*s - 297*y. Determine i, given that 104/5*i**2 - 1/5*i**5 + 11/5*i**4 + 48/5 - 112/5*i - 48/5*i**s = 0.
2, 3
Factor 11*a**2 + 8*a**2 + 30*a**4 + 4544*a**3 + 5*a**5 + 11*a**2 - 4489*a**3.
5*a**2*(a + 1)*(a + 2)*(a + 3)
Let p(h) be the first derivative of -h**3/21 - 5*h**2/14 - 874. Factor p(g).
-g*(g + 5)/7
Let u(f) = -11*f**2 + f - 2. Let i(b) = -260*b**2 - 204*b + 2976. Let w(o) = -i(o) + 24*u(o). Solve w(c) = 0 for c.
21, 36
Let d be (-3)/6 + (-18)/(-4). Let w = -15022 - -15026. Find s such that 10*s**d + 47/2*s**3 + 2*s - w + 21*s**2 + 3/2*s**5 = 0.
-2, -1, 1/3
Let c(t) be the first derivative of -t**6/10 - 78*t**5/25 + 57*t**4/5 + 584*t**3/5 + 1008*t**2/5 - 4733. Let c(n) = 0. What is n?
-28, -2, 0, 6
Suppose -5*x - 81 = -206. Let c(z) be the first derivative of 69*z + 20 - 115*z**2 + 160*z**3 - x*z**4 - 5*z - 53*z**2. Factor c(a).
-4*(a - 4)*(5*a - 2)**2
Suppose -36*r = -3*w + 41 - 17, 16 = -r + 2*w. Factor 3/2*m**3 + r + 3/2*m**2 + 1/2*m + 1/2*m**4.
m*(m + 1)**3/2
Let r = -115461 + 115461. Factor r - 2/7*i**2 + 44/7*i.
-2*i*(i - 22)/7
Suppose 8*p - 12*p - 60 = 0. Let x = 18 + p. What is f in 6*f - 4 - 4*f**3 + 112*f**5 - 23*f**3 - 24*f**4 - 73*f**x + 46*f**2 = 0?
-1, -2/7, 1/2
Suppose -7*z + 6*z + 14 = 4*y, 0 = z - 2. Suppose b**4 - 68*b - b**4 - 4*b**5 + 4*b**4 - 8*b**2 + 64*b + 4 + 8*b**y = 0. Calculate b.
-1, 1
Let b(c) be the first derivative of -14*c + 0*c**3 - 1/80*c**5 + 0*c**2 + 18 + 1/48*c**4. Let p(i) be the first derivative of b(i). Find s, given that p(s) = 0.
0, 1
Suppose 18*x - 48 = -6*x. Determine a so that 600 - 72*a**3 - 91*a + 218*a**2 - 4*a**5 + 86*a**x + 174*a + 319*a + 538*a - 40*a**4 = 0.
-5, -2, -1, 3
Let x be (0 - -5) + 67 + 0 + 1. Determine u, given that -73 - 3*u**2 + 60*u - u**2 + x = 0.
0, 15
Factor -489/7*t**2 + 0 - 162/7*t - 495/7*t**3 - 171/7*t**4 - 3/7*t**5.
-3*t*(t + 1)**3*(t + 54)/7
Let p(i) be the second derivative of -3*i**5/10 + 97*i**4/6 - 70*i**3 - 2*i + 1065. Find n, given that p(n) = 0.
0, 7/3, 30
Let j = 6/77321 + 2087655/154642. Factor -21/2 - 3/2*x**3 - j*x**2 - 45/2*x.
-3*(x + 1)**2*(x + 7)/2
Let t(h) = 9*h**2 + 6*h - 2*h**3 - 3*h**3 - 5*h**2 + 2 - 9*h**2 + 4*h**3. Let n be t(-6). Find o, given that 1/3*o**4 + 0*o**3 + 0 - o**n - 2/3*o = 0.
-1, 0, 2
Suppose 10331*b - 10280*b = 0. Factor 0*t**3 + 3/5*t**5 + 0*t**2 + 0 - 12/5*t**4 + b*t.
3*t**4*(t - 4)/5
Let z(j) be the first derivative of 3*j**4/4 - 118*j**3/3 + 39*j**2/2 + 2*j - 180. Let b be z(39). Let c**3 - 5/8 + b*c - 9/4*c**2 - 1/8*c**4 = 0. Calculate c.
1, 5
Let p(m) be the third derivative of -m**5/360 - 17*m**4/36 + 365*m**3/36 + m**2 + 57*m. Solve p(j) = 0.
-73, 5
Let b be (249*(-12)/(-1809))/((-11)/(-3)). Let l = -18/67 + b. Factor -4/11*y**2 + l*y**5 + 0*y**3 - 2/11*y + 0 + 4/11*y**4.
2*y*(y - 1)*(y + 1)**3/11
Let j(f) = 139*f**4 + 462*f**3 + 273*f**2 - 571*f - 269. Let d(z) = -99*z**4 - 330*z**3 - 195*z**2 + 408*z + 192. Let u(l) = 17*d(l) + 12*j(l). Solve u(y) = 0.
-3, -2, -2/5, 1
What is v in -495/7*v - 3/7*v**3 - 36*v**2 - 246/7 = 0?
-82, -1
Let o(a) = -a**2 + 11*a - 2. Let p(q) = q**2 + 63*q - 13. Let s(h) = 2*h**2 + 158*h - 32. Let m(g) = 12*p(g) - 5*s(g). Let c(z) = 2*m(z) + 7*o(z). Factor c(d).
-3*(d - 2)*(d - 1)
Let l = -5048 + 5059. Let x(i) be the first derivative of 3/40*i**5 + 3/16*i**2 + 0*i + 3/8*i**3 - l + 9/32*i**4. Factor x(j).
3*j*(j + 1)**3/8
Suppose 1840 = 92*g - 87*g. Factor -g + 368 + 246*h**2 + 3*h**4 - 67*h**2 + 69*h**3 - 432*h + 181*h**2.
3*h*(h - 1)*(h + 12)**2
Let j(b) be the first derivative of b**4/4 - 10*b**3/3 - 28*b**2 + 2650. Factor j(u).
u*(u - 14)*(u + 4)
Let x be -3 + 1 + -1 + 3. Suppose x*i = 5*i - 20. Solve -d**4 - 3*d**5 + 3*d + 2*d**4 + 6*d**2 - 7*d**i = 0.
-1, 0, 1
Let x(a) be the second derivative of 1/28*a**7 - 232*a + a**4 - 1/10*a**6 + 0 - 9/2*a**2 + 5/4*a**3 - 9/20*a**5. Determine q, given that x(q) = 0.
-2, -1, 1, 3
Let u(o) = -o**2 - 1 + 2*o**2 + o**3 - 1682*o + 1681*o. Let v(i) = 16*i**3 + 36*i**2 - 72*i + 36. Let j(y) = -36*u(y) + 2*v(y). Solve j(w) = 0.
3
Let i(y) = -7*y**2 + 1937*y + 11876. Let o be i(-6). Factor 3/4*t**4 + 94921875/4 - 225*t**3 + 50625/2*t**o - 1265625*t.
3*(t - 75)**4/4
Let a be -1*(-1 + -2 + 1). Let l(x) = -x**2 - 2*x - 4. Let d(g) = -9*g + 34 - 8 - 7*g**2 - 23 - 23 + 2*g**2. Let i(j) = a*d(j) - 11*l(j). Factor i(w).
(w + 2)**2
Suppose 365*x + 1394 + 286 = 785*x. Suppose -6/7*r**3 + 136/21*r**2 - 24/7*r - 2/3*r**x - 32/21 = 0. What is r?
-4, -2/7, 1, 2
Suppose -176*k + 351 = -59*k. Let o(b) be the second derivative of 0*b**k - 4/3*b**2 + 1/18*b**4 - 2*b + 0. Factor o(x).
2*(x - 2)*(x + 2)/3
Let v(a) = a**3 + 109*a**2 - 5*a - 108. Let d(n) = -2*n**3 + n**2 - 2*n. Let s(i) = -d(i) + v(i). Let s(t) = 0. Calculate t.
-36, -1, 1
Let n = 389 - 386. Factor -3*b**n - 263 + 143 + b**3 - 242*b - 124*b**2.
-2*(b + 1)**2*(b + 60)
Let s(x) be the second derivative of 3/10*x**5 - 4*x**2 - x**3 + 5/6*x**4 - 1/15*x**6 + 77*x + 0. Factor s(z).
-2*(z - 4)*(z - 1)*(z + 1)**2
Let d(v) be the third derivative of -v**6/540 - 41*v**5/270 - 37*v**4/27 - 8*v**2 - 141. Determine g so that d(g) = 0.
-37, -4, 0
Let c(s) be the first derivative of s**4/8 + 11*s**3/3 + 65*s**2/4 - 338*s + 2646. Solve c(i) = 0 for i.
-13, 4
Suppose 8*w - 4*f + 14 = 13*w, 3*f = 5*w - 7. Let t be -3 + (5*4)/4. What is p in -p**2 + 0*p**t + 6 + 3*p - w*p**2 = 0?
-1, 2
Let c(z) be the first derivative of 63*z**4/8 + 19*z**3/2 - 33*z**2 + 6*z - 48. Solve c(w) = 0.
-2, 2/21, 1
Let m(q) be the first derivative of -18 + 1/60*q**5 + 0*q**2 - 4/3*q**3 + 0*q + 1/360*q**6 + 0*q**4. Let j(o) be the third derivative of m(o). Factor j(s).
s*(s + 2)
Let f(w) = 3*w**3 + 57*w**2 - 171*w - 1. Let r(l) = 2*l**3 + 3*l**2 - 1. Let j(g) = -f(g) + r(g). What is k in j(k) = 0?
-57, 0, 3
What is o in 48*o - 21*o**4 - 17*o**2 - 3*o**2 - 63635*o**3 + 36 + 63587*o**3 + 5*o**4 = 0?
-3/2, -1, 1
Factor 77358*l - 77894*l - 2*l**3 - 4 + 4 + 142*l**2.
-2*l*(l - 67)*(l - 4)
Let d(q) be the first derivative of -1/12*q**6 - 2/5*q**5 + 0*q + 86 - 5/4*q**2 + 2/3*q**3 + 3/4*q**4. Find i, given that d(i) = 0.
-5, -1, 0, 1
Let i(c) be the first derivative of -2*c**3/69 - 15*c**2/23 - 28*c/23 - 247. Factor i(o).
-2*(o + 1)*(o + 14)/23
Let 18*r + 0 + 1/4*r**2 = 0. What is r?
-72, 0
Factor -12*v**4 + 0 + 0*v + 152/3*v**3 - 32/3*v**2.
-4*v**2*(v - 4)*(9*v - 2)/3
Let q(o) = -4*o**4 + 127*o**3 - 123*o**2 + 5. Let h(b) = -6*b**4 + 190*b**3 - 184*b**2 + 8. Let p(g) = 5*h(g) - 8*q(g). Let p(s) = 0. Calculate s.
0, 1, 32
Let r be 12/(-12)*(-3 + 2 + -3). Factor 2*u**4 - 10*u**2 - 6*u**3 + 2*u**5 - 4*u**3 - 4*u + r*u**3.
2*u*(u - 2)*(u + 1)**3
Suppose 468*k - 473*k = -20. Suppose 179*o**4 + o**5 - 182*o**k + 4*o**2 - 2*o**5 = 0. What is o?
-2, 0, 1
Find s such that 160*s - 1792/17 - 46/17*s**4 + 2/17*s**5 - 1528/17*s**2 + 392/17*s**3 = 0.
2, 4, 7, 8
Suppose -184*n + 57*n + n**2 + 2*n**2 - 86 + 6287*n**4 - 6288*n**4 + 43*n**3 = 0. Calculate n.
-1, 2, 43
Factor 207*g - 3*g**4 + 231*g - 36 + 18*g**3 + 9*g**2 - 486*g.
-3*(g - 6)*(g - 2)*(g + 1)**2
Let q = -225877 - -1581166/7. Factor q*i**3 + 0 + 60/7*i + 3/7*i**4 + 72/7*i**2.
3*i*(i + 2)**2*(i + 5)/7
Suppose 12*o - 13 = 7*o + 3*j, 4*o - 40 = -5*j. Factor -o*q**3 + q**2 + 26*q**2 - 3*q - 42*q**2 - 7*q.
-5*q*(q + 1)*(q + 2)
Let j(a) be the first derivative of 0*a + 0*a**2 + 5/4*a**4 - 40/3*a**3 - 211. Factor j(u).
5*u**2*(u