0. What is n?
-1, 1, 3
Let u = 4187 + -4184. Let p(o) be the first derivative of -3/25*o**5 + 0*o**2 + 18 - 2/5*o**u - 9/20*o**4 + 0*o. Factor p(q).
-3*q**2*(q + 1)*(q + 2)/5
Let i(z) = 2*z**2 - 5*z + 15. Let n be i(2). Suppose 0 = -n*k + 3*k + 7*k. Factor k*y + 2/5*y**2 - 2/5.
2*(y - 1)*(y + 1)/5
Let r = 1294 + -1290. Let p(z) be the second derivative of 0*z**2 + 0 - 9/5*z**3 + 1/75*z**6 + 9/10*z**4 + r*z - 9/50*z**5. Factor p(f).
2*f*(f - 3)**3/5
Let k(i) be the first derivative of i**7/1400 + i**6/600 - 94*i**3/3 + 32. Let j(v) be the third derivative of k(v). Factor j(n).
3*n**2*(n + 1)/5
Let v = -337927 + 338193. Let -722/3 + v*l - 26*l**2 + 2/3*l**3 = 0. What is l?
1, 19
Let k(o) be the second derivative of o**4/9 - 94*o**3/9 - 212*o**2 + 1160*o. Determine c so that k(c) = 0.
-6, 53
Let -2/11*g**4 - 108/11*g**2 - 112/11 + 184/11*g + 26/11*g**3 = 0. What is g?
2, 7
Suppose -45*y - 76*y + 3778 + 578 = 0. Let q(f) be the first derivative of 31 - f**4 + 20/3*f**3 - 6*f**2 - y*f. Factor q(r).
-4*(r - 3)**2*(r + 1)
Let u(d) = -d**3 - 6*d**2 + 2*d + 14. Let m be u(-6). Solve 5*n**2 + 7*n**2 + n**2 - 12*n**m = 0.
0
Factor 519*s - 1415 + 1587 + 15*s**2 - 1276 + 8356*s - 1856.
5*(s + 592)*(3*s - 1)
Let k = -26/4633 + 27980/32431. Find t, given that 2/7*t**4 - 2/7*t**5 + 0 + 0*t + k*t**2 + 10/7*t**3 = 0.
-1, 0, 3
Let i(j) be the first derivative of -76/7*j + 2/21*j**3 + 37 - 37/7*j**2. Factor i(h).
2*(h - 38)*(h + 1)/7
Let r(l) = -93*l**4 + 414*l**3 + 417*l**2 - 174*l - 12. Let z(f) = -37*f**4 + 165*f**3 + 167*f**2 - 70*f - 5. Let u(p) = -5*r(p) + 12*z(p). Factor u(n).
3*n*(n - 5)*(n + 1)*(7*n - 2)
Let x(d) be the first derivative of d**6/24 + d**5/2 + 7*d**4/4 + 5*d**3/6 - 29*d**2/8 - 5*d + 1742. Solve x(p) = 0 for p.
-5, -4, -1, 1
Let w(d) be the second derivative of 5/2*d**4 - 7/10*d**5 + 52*d + 1/15*d**6 + 2 + 0*d**2 - 3*d**3. Solve w(o) = 0 for o.
0, 1, 3
Let o = 106061/3 - 35287. Factor 2/3*f**2 + o + 40/3*f.
2*(f + 10)**2/3
Suppose -3*x - 3417 = -54*x. Suppose 26*k = x - 15. Factor 1/12*v**k - 2/3*v + 4/3.
(v - 4)**2/12
Let m be (11/(-132))/((-7)/28). Let f(a) be the first derivative of m*a**3 + 10 + 1/4*a**4 + 0*a**2 + 0*a. Factor f(d).
d**2*(d + 1)
Let i(s) be the first derivative of 17/6*s**2 + 2*s - 310 - 1/15*s**5 + 1/4*s**4 + 5/3*s**3. Factor i(a).
-(a - 6)*(a + 1)**3/3
Determine l so that -903/2 - 54*l + 3/2*l**2 = 0.
-7, 43
Let o(j) be the third derivative of 0 - 7*j**2 + 7/40*j**5 - 19/16*j**4 + 13*j - 3/2*j**3. Let o(z) = 0. Calculate z.
-2/7, 3
Let u be (0 - 0) + 53 + 4 + -57. Find d such that -2/3*d**2 + 0 + u*d = 0.
0
Let c(h) be the first derivative of -h**5/25 - 2*h**4/5 + 11*h**3/5 + 198*h**2/5 + 756*h/5 - 2356. Suppose c(t) = 0. What is t?
-6, -3, 7
Let a(q) be the second derivative of -q**7/840 + q**6/30 + 107*q**4/12 - q**2 - 21*q - 1. Let d(j) be the third derivative of a(j). Factor d(x).
-3*x*(x - 8)
Solve 58 - 96 + 27 + 2*p**2 + 487 - 160*p + 546 = 0.
7, 73
Let j(u) be the first derivative of -3*u**4/4 - 185*u**3 - 549*u**2 + 11689. Suppose j(a) = 0. What is a?
-183, -2, 0
Suppose 3*z + g = 2, -218 = -z + 5*g - 228. Factor z*w + 1/4*w**2 - 1.
(w - 2)*(w + 2)/4
Factor -14202*y - 55*y**2 - 50*y**2 + 218*y**2 - 16808067 - 59*y**2 - 57*y**2.
-3*(y + 2367)**2
Let h = 543 + -232. Factor f + 49*f - 142 - 4*f**3 - 94*f**2 + h - 121.
-2*(f - 1)*(f + 24)*(2*f + 1)
Let y(g) = -6*g + 62. Let i be y(10). Let 15*c**i - 2*c - 8*c**4 + 1677*c**3 - 8 - 1673*c**3 - 2*c**5 + c**2 = 0. What is c?
-4, -1, 1
Let h be (2/6)/(8/(-6) + 777/518). Factor 0*z**h + 2/9*z - 2/9*z**3 + 0.
-2*z*(z - 1)*(z + 1)/9
Let w(n) be the third derivative of n**7/735 - n**6/210 - 5*n**5/42 + n**4/42 + 8*n**3/7 + n**2 + 840*n. What is i in w(i) = 0?
-4, -1, 1, 6
Let t be (6 - (-348)/(-48))*-4. Let n(r) be the third derivative of 1/4*r**4 - r**2 + 0 + 7/2*r**3 + 1/140*r**t + 0*r. Find q, given that n(q) = 0.
-7
Suppose 39763 = -43*f - 32778. Let t = f - -1687. Factor -2/9*p**3 + 2/9*p**4 - 10/9*p**2 - 2/3*p + t.
2*p*(p - 3)*(p + 1)**2/9
Let l(t) be the second derivative of -4*t**7/231 - 139*t**6/165 + 9*t**5/2 + 25*t**4/66 - 491*t**3/33 + 114*t**2/11 - 4292*t. Suppose l(m) = 0. What is m?
-38, -1, 1/4, 1, 3
Factor -2870/19 - 584/19*t - 2/19*t**2.
-2*(t + 5)*(t + 287)/19
Let 1942*t + 12 - 8958*t**2 - 1945*t + 8946*t**2 + 3*t**3 = 0. What is t?
-1, 1, 4
Let q(u) = u**3 - u**2 - 2*u + 2. Let y be q(2). Let b = 473/588 - 27/196. Factor 10/9*v - b*v**y - 4/9.
-2*(v - 1)*(3*v - 2)/9
Let a(f) be the first derivative of f**4/22 - 328*f**3/33 + 6724*f**2/11 + 8. Determine h so that a(h) = 0.
0, 82
Solve -1280/9*z + 28672/3 + 4/9*z**3 - 172/9*z**2 = 0 for z.
-21, 32
Factor -95/6*w**2 + 1/2*w**3 + 229/6*w + 29/2.
(w - 29)*(w - 3)*(3*w + 1)/6
Factor -189/2*n - 3/2*n**2 - 270.
-3*(n + 3)*(n + 60)/2
Let v(p) be the second derivative of p**6/195 - 37*p**5/130 + 5*p**4/2 - 283*p**3/39 + 124*p**2/13 + 3553*p. Find h such that v(h) = 0.
1, 4, 31
Suppose 0 = 2*s - 4 + 14, 2*y + 67 = -5*s. Let u be 56/(-98)*y/54. Factor -2/3*j - 2/9 + 4/9*j**3 + u*j**5 - 4/9*j**2 + 2/3*j**4.
2*(j - 1)*(j + 1)**4/9
Suppose -16 = -3*a + 8. Suppose -24 = -6*i - 0. Factor 3*s**3 - 5*s**4 - 2*s**5 - 19*s**3 + 15*s**i + a*s**2.
-2*s**2*(s - 2)**2*(s - 1)
Let y = 24204 + -20331359/840. Let a(b) be the third derivative of y*b**6 + 0 + 0*b**5 - 1/56*b**4 + 1/21*b**3 - 16*b**2 + 0*b. Factor a(n).
(n - 1)**2*(n + 2)/7
Let o(m) = m**2. Let d(z) = -3*z**2 + 3*z. Let y be 125/35 + 30/70. Let a(s) = y*o(s) + d(s). Suppose a(i) = 0. Calculate i.
-3, 0
Let d be -13 - (-10 - 6/2). Let u(y) be the second derivative of -1/8*y**3 + d - 1/80*y**5 + 0*y**2 - 1/12*y**4 - 17*y. Factor u(h).
-h*(h + 1)*(h + 3)/4
Suppose 53 = 3*r - 1. Let b(i) = -i**2 - i. Let w(z) = -34 - 37 + 12*z**2 + 122 + 14*z - 53. Let l(f) = r*b(f) + 2*w(f). Factor l(y).
2*(y + 2)*(3*y - 1)
Let a be (0/3)/((-5)/((-15)/(-12))). Let w(c) = -38*c. Let m be w(a). What is x in m + 0*x**4 + 0*x + 0*x**2 + 2/19*x**5 - 2/19*x**3 = 0?
-1, 0, 1
Let k(f) be the first derivative of 1/8*f**4 + 11/4*f**2 + 45 + 5/2*f + 7/6*f**3. What is h in k(h) = 0?
-5, -1
Suppose 1865*j + 1243/2 + 3/2*j**2 = 0. What is j?
-1243, -1/3
Let k be ((-3)/2)/(3 - (-87)/(-30)). Let m be ((-28)/10 - -3) + (-87)/k. Determine f, given that -12*f + m*f - 18 + 3 + 24*f - 3*f**2 = 0.
1, 5
Suppose 4*b + 3*m - 229 = 194, 5*m - 425 = -4*b. Let f be 252/b*6/4. Determine t so that 39/5*t**3 + 36/5*t**2 + f*t**4 + 12/5*t + 3/5*t**5 + 0 = 0.
-2, -1, 0
Factor 66*c**3 - 3622*c + 12*c**4 + 216*c**2 + 1807*c - 160 + 1863*c + 34*c**3.
4*(c + 2)**2*(c + 5)*(3*c - 2)
Suppose 2*h + 7*h = 126. Factor 15 - 15 + 17*i**2 + 18*i - h*i**2.
3*i*(i + 6)
Let w(n) be the first derivative of -8/3*n**3 - 1/3*n**4 + 0*n - 61 - 6*n**2. Solve w(i) = 0 for i.
-3, 0
Let r(l) be the third derivative of 49*l**6/120 - 10129*l**5/12 + 3616*l**4/3 - 2066*l**3/3 - 3*l**2 + 37*l + 5. Let r(j) = 0. Calculate j.
2/7, 1033
Let a(v) be the third derivative of -2*v**7/105 - 13*v**6/30 - 6*v**5/5 + 80*v**4/3 - 256*v**3/3 + 3*v**2 - 413. What is m in a(m) = 0?
-8, 1, 2
Let k(p) be the first derivative of -p**5/25 - p**4/20 + 82*p**3/15 - 8*p**2 + 4237. Solve k(c) = 0.
-10, 0, 1, 8
Let r be 0/((-14)/(-5) + 5/25). Let l be (-4)/6 + 4/((-108)/(-63)). Let l*n**2 + 10/3*n + r = 0. Calculate n.
-2, 0
Let s(g) be the first derivative of -2*g**6 - 52*g**5/5 - 4*g**4 - 1027. Factor s(y).
-4*y**3*(y + 4)*(3*y + 1)
Determine s, given that -2190/11*s + 34*s**2 + 3258/11 - 2/11*s**3 = 0.
3, 181
Let i(q) = -7*q**2 - 59*q + 33. Let z(t) = -11*t**2 - 67*t + 34. Let b(k) = -4*i(k) + 3*z(k). Solve b(g) = 0.
1, 6
Let q(c) be the first derivative of -c**5/12 - 5*c**4/6 - 5*c**3/2 - 17*c**2/2 + c + 60. Let a(i) be the second derivative of q(i). Factor a(x).
-5*(x + 1)*(x + 3)
Let q be 2/(-16) - (-59300)/160. Let f = 371 - q. Determine j, given that 0 + 0*j + f*j**2 + 3/2*j**3 + 1/2*j**5 + 3/2*j**4 = 0.
-1, 0
Suppose -4*l - 2*k + 2950 = 0, 4*k - 2205 = -0*l - 3*l. Let 123*f**3 + l*f + 141*f**2 + 35*f**4 + 7*f**4 - 685*f + 3*f**5 - 3*f**4 = 0. Calculate f.
-9, -2, -1, 0
Suppose 0*i + 2*i = -3*k - 2, -k + 12 = -7*k. Factor -4/5 - 8/5*l - 4/5*l**i.
-4*(l + 1)**2/5
Solve 68*v - 3224*v**2 + 2*v**3 + 6504*v**2 + 48 - 3258*v**2 = 0.
-6, -4, -1
Let b(u) be the thi