7*v**3. What is y in s(y) = 0?
-1, 1, 20
Let f(p) be the second derivative of 1/24*p**3 + 0 + 1/4*p**2 - 1/48*p**4 - 18*p. Find x, given that f(x) = 0.
-1, 2
Suppose -5*v = -529 + 509. Find y, given that -12*y**4 + 15*y**4 - 16*y**2 - 36*y**3 - 4*y**5 - 27*y**v + 0*y**2 = 0.
-4, -1, 0
Let f(g) = -5*g**2 + 59*g + 4. Let o be f(7). Suppose -18*s - o = -104*s. Find r such that 0 + 2/11*r**s - 4/11*r = 0.
0, 2
Suppose -103*t**2 - 1028*t**3 + 5*t**4 - 125*t + 250 + 1033*t**3 - 32*t**2 = 0. Calculate t.
-5, -2, 1, 5
Let t be ((-1)/(-2))/(165/(-330)). Let m be t - (-5)/(105/28). Factor -2/3*u + m*u**2 + 0 + 1/3*u**3.
u*(u - 1)*(u + 2)/3
Let g(t) be the first derivative of -19/14*t**2 - 2/7*t - 3/7*t**3 + 145. What is n in g(n) = 0?
-2, -1/9
Let l = -2499/2 - -42487/34. Determine m, given that 24/17*m + l*m**3 + 0 + 16/17*m**2 = 0.
-6, -2, 0
Let z(f) = -16*f**3 - 2*f**2 + 3*f + 4. Let g be z(-1). Factor 26 - 13*k + k**2 + 31 - 13*k**2 - 17*k - g*k.
-3*(k - 1)*(4*k + 19)
Let j = 107 - 100. Suppose -65 = -5*p - 5*h, j*p - 4*p - 45 = -5*h. Factor -6*l**2 - p*l - l**3 + 28*l - 23*l.
-l*(l + 1)*(l + 5)
Suppose -31 = 13*f - 70. Let m(h) = -4*h**3 - 31*h**2 + 11*h + 38. Let p(g) = 2*g**3 + 15*g**2 - 5*g - 18. Let b(r) = f*m(r) + 7*p(r). Factor b(u).
2*(u - 1)*(u + 1)*(u + 6)
Let t(j) = -23*j**3 - 155*j**2 + 575*j - 421. Let v(i) = -59*i**3 - 311*i**2 + 1151*i - 841. Let d(a) = -5*t(a) + 2*v(a). Factor d(g).
-3*(g - 47)*(g - 3)*(g - 1)
Let i(h) = h**3 + h**2 - 17*h - 4. Let s be i(-3). Suppose 17*v**2 - s*v**2 - 4*v + 8 + 8*v**2 = 0. Calculate v.
-2, 1
Determine q, given that -2*q**5 + 29/2*q**2 + 73/2*q**4 - 30 - 99*q**3 + 122*q = 0.
-1, 1/4, 2, 15
Factor -82*k**3 - 6 + 5*k**2 - 1 - 1 + 44*k**3 - 14*k + 40*k**3.
(k - 2)*(k + 4)*(2*k + 1)
Let t(k) be the first derivative of -4*k**3/3 + 46*k**2 - 448*k + 2060. Factor t(b).
-4*(b - 16)*(b - 7)
Let a be (8 - 152/18) + (-1480)/(-1710). Factor a*u + 2/19*u**2 + 0.
2*u*(u + 4)/19
Let k be (-10)/(-28)*28455/20325. Suppose -29/2*c + k*c**2 - 31 = 0. Calculate c.
-2, 31
Find j, given that 50269999*j + 16*j**2 + 79*j**2 - 50270009*j - 160*j**3 + 75*j**4 = 0.
0, 2/15, 1
Let h(s) = -11*s**2 + 18*s - 21. Let c be h(9). Let y be 60*(2/3 + 140/c). Factor -y*p**2 - 45*p + 3*p**3 - 66/5.
3*(p - 11)*(p + 1)*(5*p + 2)/5
Factor 4/5*a**4 - 4*a**3 + 13689/5 + 234*a - 443/5*a**2.
(a - 9)**2*(2*a + 13)**2/5
Let v = 4/160153 + 4324111/800765. Suppose 12*y + 3/5*y**2 - v*y**3 + 36/5 - 3/5*y**4 + 3/5*y**5 = 0. What is y?
-2, -1, 2, 3
Let k(o) be the second derivative of 0 + 9/7*o**2 - 2/7*o**3 + 187*o + 1/42*o**4. Factor k(n).
2*(n - 3)**2/7
Let k(u) be the third derivative of -u**5/20 + 975*u**4/4 - 1949*u**3/2 + 2584*u**2 + u. Let k(f) = 0. What is f?
1, 1949
Let c(p) be the second derivative of 5*p**4/28 - 46*p**3/7 + 246*p**2/7 + 5155*p. Factor c(x).
3*(x - 2)*(5*x - 82)/7
Let v be ((-9)/59)/(-1 - 35/(-14)). Let a = v - -184/649. Factor 0 + 2/11*y**2 + a*y.
2*y*(y + 1)/11
Let d be -10 + (588913/30355 - 10). Let m = 2/2335 - d. Factor -m*c**2 + 0 + 3/5*c**3 - 2/5*c + 2/5*c**4.
c*(c - 1)*(c + 2)*(2*c + 1)/5
Let t be (-33)/((-6237)/(-72))*1/(6/(-7)). Solve -4/9 + 0*z + t*z**2 = 0.
-1, 1
Let q = 615 + -608. Factor 66 + 2*w - q*w - 31*w + 4*w**2 - 66 + 80.
4*(w - 5)*(w - 4)
Let i(u) be the third derivative of -11*u**2 + 0*u + 0 - 1/60*u**6 - 5/12*u**4 - 1/5*u**5 + 0*u**3. Factor i(q).
-2*q*(q + 1)*(q + 5)
Let p be ((-12)/18)/((-10)/45). What is a in -p*a**3 + 173*a**4 - 3*a**2 - 2*a**3 - 168*a**4 - 7*a**2 = 0?
-1, 0, 2
Let r be 3*2 + (-34 - -33). Let d be 1 + -1 - (1 - 79). Find b, given that 30*b**4 - 72*b**3 - 36*b + 82*b**5 + 65*b**2 - 169*b**2 - 4 + d*b**4 + 26*b**r = 0.
-1, -1/3, 1
Let h(s) be the third derivative of -s**7/140 - 7*s**6/20 + 403*s**5/40 + 443*s**4/8 + 114*s**3 + 3*s**2 - 41*s - 11. What is i in h(i) = 0?
-38, -1, 12
Let u(l) be the second derivative of -3*l**8/1232 - l**7/770 + l**6/165 + l**5/165 + 15*l**2 - 123*l. Let q(n) be the first derivative of u(n). Factor q(f).
-f**2*(f - 1)*(3*f + 2)**2/11
Let a(n) = 3*n**2 - 6*n + 2. Let t(k) = -10*k**2 + 19*k - 7. Let d be 8*(-1)/(8/4). Let z be 1/d - (7/4 - 0). Let j(v) = z*t(v) - 7*a(v). What is u in j(u) = 0?
0, 4
Suppose -648 = -10*c - 1274 + 736. Let q(u) be the first derivative of -14*u + 1/2*u**4 - 13*u**2 - c - 10/3*u**3. Factor q(z).
2*(z - 7)*(z + 1)**2
Suppose 4*v - k + 0*k = 244, 5*v + k - 314 = 0. What is s in -v*s + 390*s**4 - 75*s**5 - 59*s**3 - 93*s**3 - 46*s - 175*s**3 - 468*s**2 = 0?
-2/5, 0, 3
Let r be (-4)/(-6)*(-3)/14 - 82/(-280). Let w(v) be the second derivative of 14*v + 3/4*v**3 - r*v**5 + 3/2*v**2 + 0 - 3/8*v**4. What is l in w(l) = 0?
-2, -1/2, 1
Let x(j) be the second derivative of 5*j**4/102 - 167*j**3/51 + 66*j**2/17 + 3729*j - 2. Determine l so that x(l) = 0.
2/5, 33
Let j(q) be the first derivative of -3*q**4/4 + 35*q**3 - 612*q**2 + 4752*q + 7275. Suppose j(x) = 0. What is x?
11, 12
Let y be ((-18720)/270 + 69)/(1 - 3). Factor 0*w + y*w**2 - 3/2.
(w - 3)*(w + 3)/6
Solve -46/15*f**2 + 4/15*f**3 - 4 + 142/15*f = 0 for f.
1/2, 5, 6
Let t(r) be the third derivative of -1/12*r**5 + 5/8*r**4 + 0*r + r**2 + 0*r**3 + 5. Factor t(f).
-5*f*(f - 3)
Suppose 0 + 0*j - 395/4*j**3 + 5/4*j**4 - 405/2*j**2 = 0. Calculate j.
-2, 0, 81
Suppose -7184*p**2 - 5896*p**2 - 852845 - 6626*p**2 - 2562665*p + p**3 - 16*p**3 + 7311*p**2 = 0. What is p?
-413, -1/3
Let k(w) = -w**3 + 50*w**2 + 159*w + 3. Let u be k(53). Let n(v) be the first derivative of -72*v - 2/3*v**u + 12*v**2 + 5. Factor n(i).
-2*(i - 6)**2
Let p = 913 + -73039/80. Let j(z) be the third derivative of 1/8*z**3 + 0*z + 1/16*z**4 + 21*z**2 + p*z**5 + 0. Factor j(q).
3*(q + 1)**2/4
Let c = -38093/3 + 12911. Let b(z) be the second derivative of c*z**3 + 0 + 40*z**4 + 640*z**2 - 13*z + 4*z**5 + 1/6*z**6. Factor b(f).
5*(f + 4)**4
Let t(f) be the first derivative of 2*f**7/21 - 8*f**6/15 + 6*f**5/5 - 4*f**4/3 + 2*f**3/3 - 28*f + 22. Let z(c) be the first derivative of t(c). Factor z(v).
4*v*(v - 1)**4
Let z(i) = i**3 - 33*i**2 - 71*i + 47. Let p be z(35). Let r(x) = -x**2 + 9*x + 8. Let q be r(9). Factor 4*w**4 + 8*w - p*w**3 - q*w.
4*w**3*(w - 3)
Solve 84*r**2 + 135*r + 53*r**4 - 39*r**3 - 9*r**5 + 168*r**4 - 366*r**2 + 69 - 87*r**3 - 8*r**4 = 0 for r.
-1, -1/3, 1, 23
Suppose 3*a - 6 = 0, 5*z - z - 3*a = -582. Let c be (-5)/2 + (-376)/z. Determine l, given that 0*l - 1/9*l**5 + 0 - c*l**2 + 1/9*l**3 + 1/9*l**4 = 0.
-1, 0, 1
Let k(j) be the third derivative of 0*j**4 - 1/60*j**5 - 1/180*j**6 + 0 + 0*j - 11/2*j**3 + 23*j**2. Let q(l) be the first derivative of k(l). Factor q(f).
-2*f*(f + 1)
Suppose -2*v = -5*m - 3312, m = -2*v - 369 + 3681. Let y = v - 14894/9. Find r such that -8/9 - 20/9*r**3 + 8/3*r + 2*r**4 - 4/9*r**5 - y*r**2 = 0.
-1, 1/2, 1, 2
Let s = -18444 - -18444. Suppose 3/7*z**3 + 0*z**4 - 3/7*z**5 + 0 + s*z**2 + 0*z = 0. Calculate z.
-1, 0, 1
Factor 51/2*c**2 - 957/8*c - 3/8*c**3 + 189/2.
-3*(c - 63)*(c - 4)*(c - 1)/8
Let s(z) = 95*z**4 - 2255*z**3 - 6950*z**2 - 7210*z - 2435. Let w(m) = 8*m**4 - 188*m**3 - 579*m**2 - 601*m - 203. Let g(v) = 3*s(v) - 35*w(v). Factor g(p).
5*(p - 40)*(p + 1)**3
Suppose 43*w + 84 = 85*w. Let o(d) be the third derivative of 0 + 0*d + 5/8*d**4 + 14*d**w + 10/3*d**3 - 1/12*d**5. Suppose o(j) = 0. Calculate j.
-1, 4
Let r(m) be the first derivative of -57 + 9/2*m**6 - 51/4*m**4 - 63/5*m**5 + 12*m + 33*m**3 + 36*m**2. Let r(b) = 0. Calculate b.
-1, -1/3, 2
Factor 2*x**2 + 230951*x + 6*x**2 - 230949*x - 10.
2*(x - 1)*(4*x + 5)
What is l in -66 + 175/2*l**2 + 179/4*l + 1/4*l**5 - 43/2*l**4 - 45*l**3 = 0?
-3, -1, 1, 88
Factor 2/3*f + 220/3 - 2/3*f**2.
-2*(f - 11)*(f + 10)/3
Let f(h) = -5*h - 3. Let m be f(17). Let p = 103 + m. Let n**2 - p*n - n - 14 - 9*n**2 + 6*n**2 = 0. Calculate n.
-7, -1
Let s be 3168/880*40/24. Factor -1/2*j**2 - s + 5*j - 1/4*j**3.
-(j - 2)**2*(j + 6)/4
Suppose 157*w + 8 = 161*w, -7*h + 16 = w. Factor 1/9*l**3 + 4/9*l + 0 + 4/9*l**h.
l*(l + 2)**2/9
Suppose 20 = 3*j - 19, -76 = -o - 4*j. Factor -4/5*f**2 + o + 116/5*f.
-4*(f - 30)*(f + 1)/5
Let n(t) be the second derivative of 73*t**7/42 + 221*t**6/30 - 213*t**5/20 - 517*t**4/12 + 212*t**3/3 + 6*t**2 + 33*t + 14. Find s, given that n(s) = 0.
-3, -2, -2/73, 1
Let d(w) be the first derivativ