3*n**3 + f*n**4 + 0. Let t(y) = 0. What is y?
-3
Let z = 1427/5404 + -19/1351. Solve -n + 1/4*n**3 - z*n**2 + 1 = 0 for n.
-2, 1, 2
Let m = 194595 - 194579. Find f such that -28/5*f**2 - 4/5*f**3 + 112/5*f - m = 0.
-10, 1, 2
Suppose -169*w + 349*w + 5*l = 176*w - 102, 4*l + 88 = 0. Factor -50/7*c**w - 18/7 + 60/7*c.
-2*(5*c - 3)**2/7
Let r(s) be the second derivative of -13*s**5/40 - 5*s**4/3 - 29*s**3/12 - s**2/2 - 67*s + 25. Factor r(y).
-(y + 1)*(y + 2)*(13*y + 1)/2
Let j(f) be the second derivative of 7*f**6/4 + 627*f**5/80 + 207*f**4/16 + 67*f**3/8 - 3*f**2/8 + 6*f - 118. Determine w, given that j(w) = 0.
-1, 1/70
Let c(l) be the first derivative of -5*l**6/6 + 11*l**5 + 50*l**4 + 140*l**3/3 + 65. Suppose c(o) = 0. What is o?
-2, -1, 0, 14
Let l(s) be the third derivative of s**6/40 + 5*s**5/2 - 53*s**4/2 + 108*s**3 + 9883*s**2. Factor l(n).
3*(n - 2)**2*(n + 54)
Let x(v) be the first derivative of -48*v**2 - 2*v**4 + 0*v - 4*v**3 + 48*v**2 + 4*v + 8. Suppose x(n) = 0. Calculate n.
-1, 1/2
Let 40 - 388/3*p**2 - 20/3*p**4 - 116/3*p - 172/3*p**3 = 0. Calculate p.
-5, -3, -1, 2/5
Suppose 7*v - 30 = -16. Factor -8 - 5*h - h + v*h + 8*h**2 + 0*h**3 + 4*h**3.
4*(h - 1)*(h + 1)*(h + 2)
Let o(r) be the third derivative of -r**6/10 + 4*r**5/3 - 9*r**4/2 + 20*r**3/3 - 1526*r**2. Solve o(c) = 0 for c.
2/3, 1, 5
Let p(v) be the second derivative of v - 1/150*v**5 + 0*v**2 - 20/9*v**3 - 7 - 2/9*v**4. Let p(w) = 0. What is w?
-10, 0
Let q(k) = 4*k - 49. Let z be q(13). Factor 15*f**4 + 130*f - 315*f**2 + 134*f**3 - 52*f**3 - 26*f**z + 114*f**3.
5*f*(f - 1)*(f + 13)*(3*f - 2)
Let t(p) be the second derivative of 9*p**5/10 + 766*p**4/3 + 1861*p**3/3 + 338*p**2 + 1097*p + 2. Factor t(y).
2*(y + 1)*(y + 169)*(9*y + 2)
Let j(d) = -9*d**3 + 4*d**2 - 3*d + 19. Suppose -34 = -4*i + 54. Let x(l) = -l**3 + l + 1. Let h = 52 + -54. Let k(y) = h*j(y) + i*x(y). Factor k(m).
-4*(m - 1)**2*(m + 4)
Factor -550/9 + 1/9*k**3 - 65/3*k - 4/3*k**2.
(k - 22)*(k + 5)**2/9
Suppose -381*l**2 + 21*l**3 - 3*l**5 + 57*l**4 - 4823998 + 4823998 - 342*l = 0. What is l?
-2, -1, 0, 3, 19
Let g(i) be the third derivative of 7*i**6/300 + 31*i**5/75 - 3*i**4/20 - 2647*i**2. Find h, given that g(h) = 0.
-9, 0, 1/7
Let g be 28*(-5)/(-385)*(-154)/(-21). Suppose -4/3*c - 2*c**3 + 6*c**2 + 0 - g*c**4 = 0. Calculate c.
-2, 0, 1/4, 1
Let o(x) be the third derivative of x**7/5040 - x**6/180 + x**5/16 - 25*x**4/72 + 53*x**3/6 + 18*x**2. Let i(t) be the first derivative of o(t). Factor i(k).
(k - 5)**2*(k - 2)/6
Let x(a) be the second derivative of 46*a + 0*a**3 + 1/4*a**5 + 0*a**2 + 0 + 5/12*a**4. Determine l, given that x(l) = 0.
-1, 0
Let g(l) be the second derivative of -1/6*l**4 + 7/120*l**6 + 0*l**3 + 2*l + 67 + 0*l**2 - 1/8*l**5. Find x such that g(x) = 0.
-4/7, 0, 2
Let i be 2/(-5)*25/(-30)*12. Let c = i + 1. Determine j, given that j**2 - 293*j**5 - j**3 + 5*j**4 - 2*j**2 + 290*j**c = 0.
-1/3, 0, 1
Let b(i) be the third derivative of i**8/1512 + 8*i**7/945 - 19*i**6/540 + i**5/27 - 1609*i**2. Find a, given that b(a) = 0.
-10, 0, 1
Let m(y) be the first derivative of -y**7/1470 + y**6/28 - 11*y**5/210 - 134*y**3/3 + 213. Let b(g) be the third derivative of m(g). Factor b(r).
-2*r*(r - 22)*(2*r - 1)/7
Let n(c) be the second derivative of -2*c**5/5 - 5*c**4/3 + 22*c**3/3 - 8*c**2 - 517*c - 1. Factor n(v).
-4*(v - 1)*(v + 4)*(2*v - 1)
Suppose 534*x + 68 = 295*x + 273*x. Suppose -1/2*p**x - 1/6 + 2/3*p = 0. What is p?
1/3, 1
Suppose 1 = c - 2. Suppose 2*o - 10 = s, -19*o + 25 = -14*o + s. Factor 3*g**2 + 34*g**c + g**2 + 2 - o*g - 35*g**3.
-(g - 2)*(g - 1)**2
What is k in -5/6*k**3 + 295/3*k**2 - 16165/6*k - 37210/3 = 0?
-4, 61
Let o be 10 + ((-1)/(-5))/(9*9/(-1215)) + -4. Factor 22/3*q**o - 31/2*q**2 + q + 4/3.
(q - 2)*(4*q + 1)*(11*q - 4)/6
Let a(j) = -8*j**3 - 88*j**2 - 200*j + 20. Let i(v) = 3*v**3 + 29*v**2 + 70*v - 7. Let r(z) = 7*a(z) + 20*i(z). Factor r(h).
4*h**2*(h - 9)
Let r be (-760)/(-285)*27/24. Let j(k) be the first derivative of -10/63*k**r - 8/21*k + 1/42*k**4 - 12 + 8/21*k**2. Suppose j(u) = 0. What is u?
1, 2
Let p be (-64)/16 - 674/(-96) - 3. Let i = 17/48 - p. Factor -i*c - 1/3*c**5 + 2/3*c**3 + 1/3 - 2/3*c**2 + 1/3*c**4.
-(c - 1)**3*(c + 1)**2/3
Suppose 32 = 4*c - 8*n + 3*n, 3*c + 3*n = -3. Suppose 5*a - 25 = -r, -2*r + a - 20 = -c*a. Factor 0*m**2 + 2/11*m + r - 2/11*m**3.
-2*m*(m - 1)*(m + 1)/11
Suppose 0 = -k + 3*u - 817, -1291 = 5*k - 4*u + 2772. Let g = -2413/3 - k. Suppose -4/3*s + 7/3*s**5 - 7*s**3 + 0 - 2/3*s**4 + g*s**2 = 0. Calculate s.
-2, 0, 2/7, 1
Let g(q) be the third derivative of -5/42*q**5 - 1/420*q**6 - 243*q**2 + 0*q + 0 - 2*q**4 - 48/7*q**3. Factor g(t).
-2*(t + 1)*(t + 12)**2/7
Let n = -37 + 124. Suppose n = 5*l - 2*y, -7 - 58 = -4*l - 3*y. Find t such that -140*t**3 - l*t + 41*t - 6*t**2 + 137*t**3 = 0.
-4, 0, 2
Let r be (-9864)/7672*(-7)/3. Factor -2/9*w**r - 16/9*w + 32/9 - 14/9*w**2.
-2*(w - 1)*(w + 4)**2/9
Let r be 1/(40/180*2/4). Let v(g) = g**3 - 8*g**2 - 10*g + 12. Let d be v(r). Factor o + 1/4*o**d - o**2 + 0.
o*(o - 2)**2/4
Let c be (-38)/1 - (4 + -4 + -2). Let g be (-6)/10*(-4)/c*-3. Determine d, given that -g*d**2 - 4/5*d + 0 = 0.
-4, 0
Let s be (2642/4)/(179/(-358)). Let r = 2645/2 + s. Factor 135/4*g**2 + 69/4*g + r.
3*(5*g + 2)*(9*g + 1)/4
Let f = 116 - 103. Factor 7*p + 22*p - 21*p + f*p - 3*p**2.
-3*p*(p - 7)
Factor -24960 - 60236*t**3 + 5920*t + 60231*t**3 - 76*t**2 - 234*t**2.
-5*(t - 8)**2*(t + 78)
Let z(t) be the second derivative of 1/63*t**7 - 31*t + 0 + 0*t**2 + 2/9*t**3 - 1/10*t**5 - 1/18*t**4 + 1/45*t**6. What is w in z(w) = 0?
-2, -1, 0, 1
Solve 29*t**2 - 2325 - 94*t**2 + 29*t**2 - 370 + 31*t**2 - 2700*t = 0.
-539, -1
Let p(v) = 33*v - 181. Let c be p(6). Suppose c*u - 10 = 24. Factor 0 + 0*o - 8/5*o**3 - 8/5*o**u + 6/5*o**4.
2*o**2*(o - 2)*(3*o + 2)/5
Let 27/5*h**4 + 177/5*h**2 - 132/5*h**3 + 0 - 72/5*h = 0. What is h?
0, 8/9, 1, 3
Let i(p) be the third derivative of p**5/120 + 35*p**4/48 - 19*p**3/2 - 180*p**2. Solve i(w) = 0.
-38, 3
Suppose -120*q**3 - 75/2*q**4 - 24 - 36*q**2 + 96*q = 0. Calculate q.
-2, 2/5
Let d(g) be the first derivative of 2/27*g**3 + 8 + 4/9*g**2 + 2/3*g. Let d(u) = 0. Calculate u.
-3, -1
Factor 0 + 5/2*r - 1/2*r**2.
-r*(r - 5)/2
Let f be (27/9)/(36/120) + -5. Let u(v) be the third derivative of 0*v**3 + 0*v**6 + 1/112*v**8 + 0*v**4 - f*v**2 + 0*v**5 - 1 + 0*v + 3/70*v**7. Factor u(i).
3*i**4*(i + 3)
Let g(q) be the first derivative of -q**6/2 + 141*q**5/5 - 405*q**4/4 + 133*q**3 - 66*q**2 + 2527. Factor g(i).
-3*i*(i - 44)*(i - 1)**3
Let g = 247 - 243. Determine q, given that 64*q - 44*q**2 + q**3 - 34*q + 29*q**3 - 11*q**2 - 5*q**g = 0.
0, 1, 2, 3
Find u such that 117056/11*u + 2/11*u**3 - 956/11*u**2 - 668352/11 = 0.
6, 236
Let k(w) = 4*w**2 + 294*w + 843. Let z(v) = -10*v**2 - 876*v - 2530. Let u(d) = 8*k(d) + 3*z(d). Suppose u(j) = 0. Calculate j.
-3, 141
What is n in 7730/9*n**2 + 5926/9*n**3 + 2084/9*n - 8*n**5 + 160/9 + 16/3*n**4 = 0?
-8, -1, -1/6, 10
Let h(p) be the third derivative of 1/120*p**5 - 63 + 1/12*p**4 + 3*p**2 - 7/4*p**3 + 0*p. Let h(i) = 0. What is i?
-7, 3
Let n = -39 - -45. Let i be ((-14)/n)/(18/(-324)). Factor -6*q**3 - 626 + 49 - 109 - 294*q + 4*q**3 - i*q**2.
-2*(q + 7)**3
Let p(r) be the third derivative of r**6/220 + 61*r**5/110 - 91*r**4/4 + 3675*r**3/11 - 1281*r**2. Factor p(k).
6*(k - 7)**2*(k + 75)/11
Let u(f) be the second derivative of -1/6*f**3 + 1/24*f**4 + 0*f**2 + 0 + 75*f. Let u(a) = 0. Calculate a.
0, 2
Let n = 67/431 - -1121/3879. Factor n*l + 4/9 + 1/9*l**2.
(l + 2)**2/9
Let d be 3/(-39) - (-4)/52. Suppose -4*v - p + 5 = d, -13*v - 4*p - 10 = -12*v. Factor 0 - 3/2*y - 3/2*y**v.
-3*y*(y + 1)/2
Let z be 4/6*(93/279)/((-2)/(-6)). Suppose -z - 1/3*d**2 - d = 0. Calculate d.
-2, -1
Let i(x) be the second derivative of -x**6/120 - 7*x**5/40 - 23*x**4/16 - 35*x**3/6 - 25*x**2/2 + 5*x + 27. Find m such that i(m) = 0.
-5, -2
Let -237/2 - 117*p + 3/2*p**2 = 0. Calculate p.
-1, 79
Let g(s) be the second derivative of -s**6/15 + 11*s**5/5 - 59*s**4/6 + 38*s**3/3 - 1701*s. Find v, given that g(v) = 0.
0, 1, 2, 19
Let j = 1437409 + -4312225/3. Factor 16/3*l**4 - j - 10/3*l + 8/3*l**3 - 4*l**2.
2*(l - 1)*(2*l + 1)**3/3
Solve -15*s**4 + 1891*s**3 - 1888*s**3 + s**2 +