s**3 + 8882*s**2. What is m in r(m) = 0?
-88, 2
Suppose 240 = 5*b - 5*a, 3*b - 5*a = -0*b + 148. Let w = -43 + b. Solve 6*n**2 + 2*n**3 - 7*n**w - 5*n**2 + 9*n**2 = 0.
0, 2
Let y(d) be the third derivative of 4*d**6/15 + 14*d**5/15 + 19*d**4/16 + 3*d**3/4 - 16*d**2 + 1. Factor y(c).
(c + 1)*(8*c + 3)**2/2
Let a be 8 - (-21)/(-7) - 934. Let b = a - -1861/2. Factor b*r + 1/2*r**2 + 0.
r*(r + 3)/2
Factor -344/3 - 1028/9*b**2 + 2062/9*b - 2/9*b**3.
-2*(b - 1)**2*(b + 516)/9
Let n(a) be the second derivative of 3*a + 11*a**3 + 1/12*a**4 - 4 + 1089/2*a**2. Determine b, given that n(b) = 0.
-33
Determine i so that 189/4 + 141/4*i + 3/4*i**3 - 45/4*i**2 = 0.
-1, 7, 9
Let n be (22554/(-759))/(-3) + 2770/(-31855). Find f such that -96/11*f - 64/11 - 304/11*f**3 + n*f**4 + 32*f**2 - 14/11*f**5 = 0.
-2/7, 2
Let q = 385 + -393. Let r be q/5 + (-1575)/(-750). Factor 1/2*m**2 + r + m.
(m + 1)**2/2
Let h = -76815 + 691337/9. Suppose h*j - 4/3 + 26/9*j**2 - 10/9*j**3 - 2/3*j**4 = 0. What is j?
-3, -2/3, 1
Let k = -746117 - -5222835/7. Solve -2/7*d**2 - 24/7 + k*d = 0.
2, 6
Let i(b) be the first derivative of 195 + 5*b - 25/12*b**2 - 5/9*b**3 + 5/24*b**4. Factor i(s).
5*(s - 3)*(s - 1)*(s + 2)/6
Let n(z) = -z**2 - 1. Let s(f) = -f**3 + 9*f**2 - 15*f - 29. Let y(o) = 6*n(o) - 3*s(o). Find c, given that y(c) = 0.
-1, 3, 9
Let g(p) be the second derivative of -p**4/3 + 3680*p**3/3 - 1692800*p**2 + 2550*p. Find c, given that g(c) = 0.
920
Factor -237*y - 2*y**2 + 602*y - 263*y.
-2*y*(y - 51)
Let q(w) be the first derivative of -w**4/38 + 124*w**3/57 + 403*w**2/19 + 680*w/19 + 2955. Factor q(s).
-2*(s - 68)*(s + 1)*(s + 5)/19
What is v in 201/2*v**2 + 3/2*v**3 - 198 + 96*v = 0?
-66, -2, 1
Let i be (-1)/630*(400 - 401). Let s(w) be the third derivative of 0*w**5 - i*w**7 + 24*w**2 + 1/360*w**6 + 0*w**4 + 0*w**3 + 0*w + 0. Factor s(q).
-q**3*(q - 1)/3
Let n(v) be the first derivative of 2*v**3/3 + 326*v**2 + 53138*v + 496. Factor n(z).
2*(z + 163)**2
Let y be 5*(-6)/(-20) - 530/424. Factor -1/2*f**2 - f + 2 + y*f**3.
(f - 2)**2*(f + 2)/4
Let k(z) be the second derivative of -z**7/252 - 23*z**6/180 - 7*z**5/4 - 475*z**4/36 - 2125*z**3/36 - 625*z**2/4 - 167*z - 2. Determine i so that k(i) = 0.
-5, -3
Let h(t) be the first derivative of -1/6*t**6 - 2/3*t**3 - 71 + 0*t**2 + 0*t - 5/4*t**4 - 4/5*t**5. Let h(j) = 0. Calculate j.
-2, -1, 0
Determine n so that -172/7*n**2 - 36/7*n**4 - 116/7*n**3 - 32/7 - 4/7*n**5 - 120/7*n = 0.
-4, -2, -1
Let l(n) be the second derivative of -5*n**4/12 + 1375*n**3/8 - 515*n**2/4 - n - 1345. Factor l(k).
-5*(k - 206)*(4*k - 1)/4
Let r(y) = -y**2 + y. Let o(n) = 10*n - 3*n**2 - 27*n + 10*n + 9*n. Let v(b) = o(b) - 4*r(b). Find i such that v(i) = 0.
0, 2
Let h be ((-9555)/(-2184))/((-2)/(-5) + 15/(-100)). Let -5/2*r**2 + 0 - h*r = 0. What is r?
-7, 0
Let l(j) = -223*j + 224*j + 1 - j**2 + 2*j**2. Let n(k) = 3*k**2 - k**2 - 9*k + 12 + 4*k**2. Let c(y) = -3*l(y) + n(y). Find b, given that c(b) = 0.
1, 3
Suppose -m + 20 = 3*b, -163684*m + 26 = -163686*m + 5*b. Factor 0 - 80/3*h + 2/3*h**m.
2*h*(h - 40)/3
Let q(h) be the third derivative of h**8/840 - 2*h**7/75 + 2*h**6/75 + 31*h**5/75 + 13*h**4/20 - h**2 - 534. Suppose q(p) = 0. Calculate p.
-1, 0, 3, 13
Factor -97301*y**2 + 32452*y**2 + 32387*y**2 - 72 + 609*y + 32387*y**2.
-3*(y - 8)*(25*y - 3)
Let p = 74 + -69. Suppose 3*s - p*k - 13 = 4*s, 0 = -2*s + 2*k + 10. What is v in 0 + 3*v + 3*v**3 + 3 - s*v**3 - 3*v**2 - 4*v**3 = 0?
-1, 1
Suppose -5*v + 4 = -3*v. Suppose 4*k - 3*x - 4 = -x, 5*k - 23 = -v*x. Factor -2*u**k + 336 - u**2 - 336 + u**4 + 2*u.
u*(u - 2)*(u - 1)*(u + 1)
Let g(u) be the third derivative of -u**5/510 - 14*u**4/51 + 2*u**2 + 256. What is r in g(r) = 0?
-56, 0
Let p(v) be the third derivative of 0*v**3 + 43/96*v**6 + 5*v**2 - 3/8*v**5 + 2*v + 5/168*v**7 + 0*v**4 + 0. Factor p(j).
5*j**2*(j + 9)*(5*j - 2)/4
Let t(z) = -3 + z**2 - 2*z + 5 + 0*z**2 + 0*z**2. Let c be t(3). Factor -y**2 + y**2 + c*y**2 + 5*y.
5*y*(y + 1)
Let u be (-63)/7 + 5 + (-16)/(-4). Let x(d) be the first derivative of u*d**2 + 0*d - 4/3*d**3 + 1 - 3/2*d**4. Factor x(y).
-2*y**2*(3*y + 2)
Factor 81/2 + 117/4*o + 3/4*o**3 - 21/2*o**2.
3*(o - 9)*(o - 6)*(o + 1)/4
Let n(x) be the third derivative of -x**5/60 - 4*x**4/3 + 221*x**2 + x. Factor n(w).
-w*(w + 32)
Let n(j) be the second derivative of -j**6/480 + j**5/80 - j**4/48 - 20*j**2 + 6*j + 9. Let h(p) be the first derivative of n(p). Let h(m) = 0. Calculate m.
0, 1, 2
Let w(t) = 2*t**2 + 271*t - 973. Let m be w(-139). Determine k, given that -3/7*k**4 + 3/7*k - 3/7*k**3 + m + 3/7*k**2 = 0.
-1, 0, 1
Suppose -l - 3*o + 6 = -3, 4 = 2*o. Let m(b) = b**3 + 6*b**2 + 10*b + 10. Let z be m(-4). Let 2 - 46*x**2 - 3 - l + 50*x**z = 0. Calculate x.
-1, 1
Suppose -12190*h = -12131*h. Factor -36*m**2 - 33*m**3 + h - 27/2*m - 3/2*m**5 - 12*m**4.
-3*m*(m + 1)**2*(m + 3)**2/2
Factor 12448 - 2998 - 192080*m**3 + 72*m**2 + 192079*m**3 - 1485*m.
-(m - 42)*(m - 15)**2
Let a(v) be the first derivative of -4*v**3/9 + 31*v**2/9 + 885. Factor a(q).
-2*q*(6*q - 31)/9
Let z = -7672 + 7672. Let -6/13*w**3 + 0*w**2 - 2/13*w**4 + z + 8/13*w = 0. Calculate w.
-2, 0, 1
Let d be (2 + 7/(-1))/(-1 - 0). Suppose u - 5*w = 13, -5*u - d*w + 5 = -0*u. Factor 13 - 123*i**4 - 15*i**u - 15*i**2 + 128*i**4 + 55*i - 43.
5*(i - 3)*(i - 1)**2*(i + 2)
Suppose 10*c = -h + 11*c - 1, h + 4*c = 24. Let i(a) be the second derivative of 11/180*a**5 + 0*a**3 + 1/36*a**h + 41*a + 0 + 0*a**2 - 2/135*a**6. Factor i(r).
-r**2*(r - 3)*(4*r + 1)/9
Let a be (48/(-10))/((-2211)/275 + 8). Let u be 4/(64/a) + -4 + -3. Factor 2*l**3 - u*l**2 - 8*l + 2.
(l - 2)*(l + 2)*(4*l - 1)/2
Find s, given that 0 - 1/4*s**2 - 195/4*s = 0.
-195, 0
Factor n**3 + 1/3*n**5 + 0*n**2 + 0 - 4/3*n**4 + 0*n.
n**3*(n - 3)*(n - 1)/3
Let i(f) be the second derivative of f**5/4 - 23*f**4/6 + 11*f**3/6 - 15*f**2/2 - 2*f. Let m be i(9). Factor -8/11*g - 2/11*g**m + 0 - 8/11*g**2.
-2*g*(g + 2)**2/11
Let k = 531 - 485. Let 40 + 205*g + k*g**2 - 15*g**2 + 92*g**2 + 20*g**3 + 62*g**2 = 0. Calculate g.
-8, -1, -1/4
Let g(s) be the first derivative of -s**3/18 - 5*s**2/4 - 9*s + 646. Factor g(l).
-(l + 6)*(l + 9)/6
Solve -222*s + 3 - 15 + 111*s - 6*s**2 + 84*s = 0 for s.
-4, -1/2
Let b = -37191 - -37191. Solve d**2 + b*d - 1/2*d**3 + 0 = 0.
0, 2
Let q be (-886)/2100 - ((-1313)/91 + 14). Let k(o) be the second derivative of -o + 1/45*o**3 + 0*o**2 + 0 + 0*o**4 - q*o**5. Factor k(x).
-2*x*(x - 1)*(x + 1)/15
Suppose 5*c - 4*z - 250 = 0, 2*z + 240 = -c + 6*c. Suppose 4*n + 10*n = 0. Factor n - c*v**2 + 3 - 123*v**2 - 26*v - 4.
-(13*v + 1)**2
Let v(c) be the first derivative of 20 + 4/3*c**3 + 4*c**2 - 2*c**4 - 4/5*c**5 + 0*c. Let v(t) = 0. What is t?
-2, -1, 0, 1
What is i in 10136*i**2 - 5068*i**2 - 805*i - 5073*i**2 = 0?
-161, 0
Let w(f) be the third derivative of f**7/630 + 7*f**6/360 - f**5/60 - 55*f**4/72 + 25*f**3/9 - 10*f**2 + 10. Factor w(n).
(n - 2)*(n - 1)*(n + 5)**2/3
Solve -435/4*x**3 + 879/8*x**2 - 267/8*x**4 + 135/4*x + 0 - 3/2*x**5 = 0 for x.
-18, -5, -1/4, 0, 1
Factor -293*y - 4 + 3131*y + 418*y - 4 - 331298*y**2.
-2*(407*y - 2)**2
Let v(i) be the third derivative of -i**8/672 - i**7/105 + i**6/80 + i**5/12 - i**4/6 + 8*i**2 + 10*i + 4. Find n such that v(n) = 0.
-4, -2, 0, 1
Let g(j) be the second derivative of -3/40*j**5 + 0*j**2 + 0 + 0*j**3 - 2*j + 0*j**4 - 1/120*j**6. Factor g(y).
-y**3*(y + 6)/4
Let v = 990 + -66334/67. Let b = 114/335 - v. Factor b + 3/5*h + 1/5*h**2.
(h + 1)*(h + 2)/5
Suppose 0 = -53*q + 6471 - 6471. Factor -6/11*w**4 + q*w - 26/11*w**3 + 0 - 8/11*w**2.
-2*w**2*(w + 4)*(3*w + 1)/11
Let q(i) be the second derivative of -49/132*i**4 - 8/11*i**2 + 16 + 28/33*i**3 - i. Factor q(g).
-(7*g - 4)**2/11
Let h be (7/(-2))/(47/94) - -7. Let b(f) be the third derivative of 0*f**3 - 15*f**2 + 1/56*f**4 + h*f**5 + 0*f + 0 - 1/280*f**6. Suppose b(t) = 0. Calculate t.
-1, 0, 1
Let j(u) be the first derivative of 3/28*u**4 - 3/14*u**2 + 43 + 2/7*u**3 - 6/7*u. Factor j(i).
3*(i - 1)*(i + 1)*(i + 2)/7
Factor -7406/9*s**2 + 2/9*s**3 + 6859808/9 + 6852400/9*s.
2*(s - 1852)**2*(s + 1)/9
Let j be (0 + (-1)/36)*2/(13 + -15). Let t(v) be the third derivative of 0 + j*v**4 - 1/9*v**3 - 1/360*v**5 - 19*v**2 + 0*v. Factor t(h).
-(h - 2)**2/6
L