0*j + 1150. What is u in r(u) = 0?
-10, 2, 6
Let g(a) be the second derivative of a**6/15 - 3*a**5/2 - 43*a**4/6 + 45*a**3 + 306*a**2 + 504*a - 1. What is z in g(z) = 0?
-3, -2, 3, 17
Let n(r) be the third derivative of r**6/40 - 513*r**5/20 - 2030*r**2. Find i, given that n(i) = 0.
0, 513
Let k(f) = -9 + 31*f**3 + 21*f + 15*f**2 - 10*f**3 - 2 - 10*f**2 + 15*f**2. Let n(p) = 4*p**3 + 4*p**2 + 4*p - 2. Let z(d) = -2*k(d) + 11*n(d). Factor z(b).
2*b*(b + 1)**2
Factor 5811*d**2 + 70*d - 10*d**3 + 15*d**3 - 5886*d**2.
5*d*(d - 14)*(d - 1)
Let o(p) be the first derivative of -4/5*p**5 + 0*p**4 - 16*p**2 + 12*p + 8*p**3 + 162. Factor o(s).
-4*(s - 1)**3*(s + 3)
Let v(x) be the second derivative of 147*x**5/20 - 19817*x**4/4 - 5668*x**3 - 2430*x**2 - 7*x - 172. Find y, given that v(y) = 0.
-2/7, 405
Let x(o) be the second derivative of 1/3*o**4 + 0 - 1/10*o**6 - 18*o + 0*o**2 + 0*o**5 - 1/42*o**7 + 0*o**3. Factor x(k).
-k**2*(k - 1)*(k + 2)**2
Factor -166/5*t - 2/5*t**2 - 2144/5.
-2*(t + 16)*(t + 67)/5
Let x(q) be the first derivative of -q**6/12 + 101*q**5/10 - 391*q**4/8 + 287*q**3/6 + 98*q**2 - 194*q - 3059. Determine m so that x(m) = 0.
-1, 1, 2, 97
Suppose 6*f - 4*f - f = 0. Let q be 154/(-66) - (-3 + f/(-3)). Factor 2/3*l**2 - q*l**3 + 0 + 0*l.
-2*l**2*(l - 1)/3
Suppose 4504 - 4153*d**2 + 536 - 169*d - 892*d**2 + 5*d**4 - 2371*d + 5035*d**3 - 2495*d = 0. Calculate d.
-1008, -1, 1
Let t(p) be the second derivative of -p**5/5 - 35*p**4/3 - 646*p**3/3 - 578*p**2 - 99*p. Determine g, given that t(g) = 0.
-17, -1
Let s = 476/79 - 330/553. Determine m so that -8/7*m**4 - s*m**2 - 4*m - 25/7*m**3 - 1/7*m**5 - 8/7 = 0.
-2, -1
Let q(d) = d**3 + 17*d**2 + 39*d + 21. Let n be q(-14). Let r be 24/14 + 18/n. Let 2/9*o + 32/9*o**r - 16/9*o**4 + 2/9*o**5 - 4/9*o**3 - 16/9 = 0. Calculate o.
-1, 1, 8
Let z be -3*(-10)/(-15) + -4. Let v(l) = -l**2 - 15*l + 6. Let i be v(z). Let 15*b - 35*b**5 - 2 - i*b**4 + 13 + 70*b**2 - 21 + 20*b**3 = 0. Calculate b.
-1, 2/7, 1
Let q be -1 + (3 - (6 - 5)). Determine z, given that 1 - q + 50*z - 11*z**2 + 16*z**2 = 0.
-10, 0
Let o(a) be the third derivative of a**6/780 - 7*a**5/39 + 1537*a**4/156 - 3364*a**3/13 + 4*a**2 + 221*a. Suppose o(p) = 0. What is p?
12, 29
Let t = 365 - 361. Factor 129*i**4 + 3*i**5 - 54*i**4 - 69*i**t.
3*i**4*(i + 2)
Let c(u) = -12*u + 5. Let p be c(0). Let h be (-3 + -52)*(-18)/(-225) + p. Let h*m**4 - 2/5*m**3 - 1/5*m**5 + 0 + 0*m**2 + 0*m = 0. Calculate m.
0, 1, 2
Let o(l) = 38*l**2 - 7513*l + 7517. Let i(c) = 33*c**2 - 7515*c + 7518. Let s(h) = -7*i(h) + 6*o(h). What is m in s(m) = 0?
1, 2508
Suppose -4*b + 76 + 60 = 0. Suppose 20 = 18*k - b. Let -4/9*s**5 - 8/9*s**4 + 0*s + 4/9*s**k + 8/9*s**2 + 0 = 0. What is s?
-2, -1, 0, 1
Let u = 14428 - 14428. Let v(q) be the third derivative of -1/96*q**4 + 0 + 19*q**2 + u*q + 0*q**3 + 3/160*q**5. Factor v(b).
b*(9*b - 2)/8
Factor -46/15 - 1792/3*j**2 - 392/15*j**3 + 1286/15*j.
-2*(j + 23)*(14*j - 1)**2/15
Suppose 2556/7*p + 3820/7*p**2 - 12/7*p**3 - 1276/7 = 0. What is p?
-1, 1/3, 319
Let p(n) be the first derivative of 5*n**4 + 13224*n - 10*n**2 + 0*n**3 + 61 + 5*n**3 + n**5 - 13244*n. Determine b so that p(b) = 0.
-2, -1, 1
Let l(q) be the first derivative of -3*q + 257 - 2/3*q**3 - 11/4*q**2. Find m, given that l(m) = 0.
-2, -3/4
Let f be 1 - ((-126)/(-35))/(-9). Let w(j) be the second derivative of -f*j**5 - 8*j**2 - 9*j - 23/3*j**4 + 0 - 40/3*j**3. Factor w(c).
-4*(c + 1)*(c + 2)*(7*c + 2)
Solve -10133*z**4 + 20031*z**3 + 12459*z**3 - 5978*z - 37880*z**4 + 840 + 67 + 3192*z**2 + 122 = 0.
-3/7, 7/19
Let b(r) be the first derivative of -2*r**5/5 - 21*r**4/2 + 194*r**3/3 - 75*r**2 + 1854. Factor b(m).
-2*m*(m - 3)*(m - 1)*(m + 25)
Determine k so that -7*k**2 + 28*k - 35*k**2 + 75*k**4 + 42*k - 33*k**2 - 5*k**5 - 4*k**3 - 61*k**3 = 0.
-1, 0, 1, 14
Let k(b) = 2*b**2 - b. Let r = 108 + -107. Let h(q) = -4*q**2 - 77*q + 800. Let t(o) = r*h(o) + 3*k(o). Let t(f) = 0. What is f?
20
Let n(x) = x**3 - 11*x**2 + 34*x - 16. Let s be n(5). Let a(p) be the third derivative of s*p**2 + 1/9*p**4 + 4/3*p**3 + 0*p + 0 + 1/270*p**5. Factor a(t).
2*(t + 6)**2/9
Suppose 10*i - 36 = -29 + 13. Suppose 2*j + 2*j = 3*t + 12, 5*j - 15 = 4*t. Solve -b**i - 3/2*b**j + 1 + 3/2*b = 0 for b.
-1, -2/3, 1
Let a = -10 + 16. Suppose -5*h + 14 = 2*u - 4*h, 4*u - 22 = h. Find g such that -u*g**2 + 3*g**4 + a*g + g**2 + 0*g**2 - 4*g**2 = 0.
-2, 0, 1
Determine t so that 56/9*t**3 - 4/3*t**2 + 14/9*t**4 - 2/9 - 4*t**5 - 20/9*t = 0.
-1, -1/2, -1/9, 1
Let p(k) = -37*k**3 + 7508*k**2 - 7504*k. Let m(o) = 13*o**3 - 2502*o**2 + 2501*o. Let y(n) = 11*m(n) + 4*p(n). Factor y(r).
-5*r*(r - 501)*(r - 1)
Let x(k) be the third derivative of k**6/1620 + 19*k**5/540 + k**4/6 + 3*k**3/2 + 5*k**2 - k. Let v(l) be the first derivative of x(l). Factor v(m).
2*(m + 1)*(m + 18)/9
Let x be 1328/48 - 5/3. Solve -10*w**3 - 2*w**2 + 10*w - 3 + 33 + 2*w**4 - x - 4 = 0 for w.
-1, 0, 1, 5
Let u = -591 - -1187/2. Let q(v) be the second derivative of 1/3*v**3 + u*v**4 + 7/15*v**6 - 2*v**2 + 0 - 23*v + 19/10*v**5. Solve q(m) = 0 for m.
-1, 2/7
Let k(d) be the second derivative of d**5/10 - 7*d**4/3 + 43*d**3/3 - 30*d**2 + 109*d. Factor k(j).
2*(j - 10)*(j - 3)*(j - 1)
Determine t so that -10*t**4 + 1/2*t**5 - 131/2*t**3 + 416*t + 59*t**2 - 400 = 0.
-4, 1, 2, 25
Let a(c) = -5*c**2 - 1. Let n(v) = -1. Let g be (-2)/(-8) - (-3)/(-12). Suppose 31*p - 32*p - 1 = g. Let d(f) = p*a(f) + 6*n(f). Find k, given that d(k) = 0.
-1, 1
Let h(n) = 7*n**2 + 39*n - 4. Let o be h(-7). Determine s, given that -16*s**3 + 118*s**2 - 60*s**2 - o*s**2 - 6*s**4 = 0.
-2, -2/3, 0
What is o in 2/7*o**2 + 0 - 162/7*o = 0?
0, 81
Let l(y) be the first derivative of -3*y**4/4 + 103*y**3 - 3578. Solve l(p) = 0.
0, 103
Let o = -174 + -221. Let t = o + 793/2. Find l, given that -1/2*l**2 - 1 + t*l = 0.
1, 2
Factor 2/17*x**3 + 526/17*x - 266/17*x**2 - 262/17.
2*(x - 131)*(x - 1)**2/17
Suppose 894*c + 820 + 5*c**2 + 1351*c - 4635*c + 1565*c = 0. What is c?
1, 164
Let n = 431/330 + -7/66. Let l be (1/1*-1)/(3/(-12)). Solve -4/5*u**3 + 6/5*u + n*u**l - 2/5*u**5 - 4/5*u**2 - 2/5 = 0 for u.
-1, 1
Solve -3375/4 - 343/4*m**3 - 2205/4*m**2 - 4725/4*m = 0.
-15/7
Suppose -p + 211 = -3*v, 0*v + 2*v + 5*p + 169 = 0. Let x be (-228)/v - 2/12. Solve -x*c**5 - 7*c**4 + c + 2*c**5 + 9*c**4 - 2*c**2 = 0.
-1, 0, 1
Let m(z) be the second derivative of -7/50*z**5 + 0*z**2 - z + 1 + 0*z**3 + 1/15*z**4. Factor m(f).
-2*f**2*(7*f - 2)/5
Let x(v) be the second derivative of 1/240*v**5 - 1/4*v**3 + 6*v**2 + 1/96*v**4 + 0 - 21*v. Let z(u) be the first derivative of x(u). Factor z(h).
(h - 2)*(h + 3)/4
Let n(m) be the third derivative of -m**8/2184 + 6*m**7/455 - 7*m**6/65 - 49*m**5/195 + 343*m**4/52 - 2*m**2 + 2*m + 35. Factor n(b).
-2*b*(b - 7)**3*(b + 3)/13
Suppose -10*y - 5*v = -5*y + 10, -y - 4*v - 14 = 0. Let l = 35 + -15. Determine w, given that 3*w - 40*w**y + 9*w + 20*w**4 - 10*w**3 + l + 5*w**5 - 7*w = 0.
-4, -1, 1
Let x(o) be the third derivative of 2*o**7/105 + 13*o**6/30 + 49*o**5/15 + 9*o**4/2 - 60*o**3 + 6952*o**2. Suppose x(c) = 0. What is c?
-6, -5, -3, 1
Let u(s) be the first derivative of 625*s**4 - 100*s**3 - 1008*s**2 + 784*s + 2345. What is g in u(g) = 0?
-1, 14/25
Let j(a) = 2*a**4 + 32*a**3 + 88*a**2 - 288*a + 166. Let c(f) = -f**2 + 1. Let q = 58 + -57. Let h(g) = q*j(g) - 4*c(g). Factor h(x).
2*(x - 1)**2*(x + 9)**2
What is a in 8/7*a + 2/7*a**2 - 64/7 = 0?
-8, 4
Let w(g) be the second derivative of 0*g**2 + 0 - 59*g - g**3 - 3/20*g**5 + 3/4*g**4. Let w(l) = 0. Calculate l.
0, 1, 2
Factor 0 + 0*l**2 + 2120/3*l**3 - 4/3*l**4 + 0*l.
-4*l**3*(l - 530)/3
Let p be 5/(-4)*324/810 - (-2)/4. Let t(s) be the second derivative of 5/42*s**7 + 0*s**4 - 43*s - 1/2*s**5 + 0 + p*s**6 + 0*s**2 + 5/6*s**3. Factor t(m).
5*m*(m - 1)**2*(m + 1)**2
Let z(d) = -4*d**2 - 631*d + 17451. Let o be z(24). Factor -4/7*v - 10/7*v**2 + 16/7 - 2/7*v**o.
-2*(v - 1)*(v + 2)*(v + 4)/7
Suppose 5*w + o - 3*o - 87 = 0, -35 = -2*w + o. Let h be 6 - 7/14*2. Determine u, given that 2*u**3 - 8 - u**2 + h*u**3 - w*u**2 + 20*u - 6*u**4 + 5*u**4 = 0.
1, 2
Suppose 21 = 7*r + 7. Let s be r*3 - (-312)/(-96). Factor -2 + 1/2*i**2 - s*i**3 + 3/2*i**4 - 1/4*i**5 + 3*i.
-(i - 2)**3*(i - 1)*(i + 1)/4
L