*2*(b + 1)
Let b(f) be the first derivative of -2*f**5/65 - 4*f**4/13 - 40*f**3/39 - 16*f**2/13 - 266. Suppose b(x) = 0. What is x?
-4, -2, 0
Let j = -47 + 50. Let t be -5 + 5/((-20)/(-24)) + j. Find q such that 2/9*q**5 + 0 - 10/9*q**2 - 2/3*q**3 + 2/9*q**t - 4/9*q = 0.
-1, 0, 2
Find s such that -775*s**2 + 186*s**2 + s + 268*s**2 + 113*s**2 - s**3 + 208 = 0.
-208, -1, 1
Let x(m) be the third derivative of -m**5/12 + 295*m**4/24 - 1495*m**3/3 - 2*m**2 + m - 726. Let x(s) = 0. Calculate s.
13, 46
Let o(y) be the first derivative of 0*y + 1/3*y**3 + 3/2*y**2 - 1. Factor o(j).
j*(j + 3)
Let i(n) be the third derivative of 11*n**2 + 1/45*n**5 + 1/126*n**7 + 0*n**3 + 0*n**4 + 1/45*n**6 + 1/1008*n**8 - 2*n + 0. Factor i(v).
v**2*(v + 1)*(v + 2)**2/3
Let d = 26 - 23. Let q = 15 + d. Find t, given that q*t**4 + 3*t**2 + 6*t**3 - 15*t**4 + 0*t**3 = 0.
-1, 0
Let n = -4606 - -4609. Determine q, given that 3/5*q**4 - n*q**3 + 21/5*q**2 - 9/5*q + 0 = 0.
0, 1, 3
Suppose 0 = 742*s - 753*s + 33. Let o(p) be the first derivative of 3/5*p**s - 21 - 3/10*p**4 + 0*p - 3/10*p**2. Let o(f) = 0. What is f?
0, 1/2, 1
Factor 19*y**2 + 240*y - 36061*y**4 - 44*y**3 - 3*y**2 + 36065*y**4.
4*y*(y - 10)*(y - 3)*(y + 2)
Suppose -142 = -110*i + 78. Let s(d) be the first derivative of 5 - 3/2*d**i + d**3 + 0*d. Let s(b) = 0. Calculate b.
0, 1
Let k be 3/3*-1 - -4. Suppose -2*w + 785 = k*w. Factor 4 - 24 + 0*a**3 - 142*a**2 + 5*a**3 + w*a**2.
5*(a - 1)*(a + 2)**2
Let q(x) be the third derivative of -x**8/1176 + 6*x**7/245 - 4*x**6/21 - 3*x**5/35 + 27*x**4/28 + 98*x**2 + 2*x. Determine s, given that q(s) = 0.
-1, 0, 1, 9
What is b in -708/7*b**3 + 236*b + 676/7*b**2 + 16/7*b**5 - 76/7*b**4 + 360/7 = 0?
-5, -1, -1/4, 2, 9
Let m(s) be the third derivative of -s**5/12 - 195*s**4/4 - 22815*s**3/2 - 1427*s**2. Determine u, given that m(u) = 0.
-117
Let n be 6/14*(-235)/((-109980)/2184). Determine y, given that 22/21*y**n + 0 + 2/21*y**3 - 52/21*y = 0.
-13, 0, 2
Let l(f) be the first derivative of -11/6*f**2 - 105 - 1/9*f**3 - 10/3*f. Determine c, given that l(c) = 0.
-10, -1
Let k = -239/123 + 189/41. Determine l, given that k + 146/3*l**2 + 88/3*l**4 + 16/3*l**5 + 172/3*l**3 + 56/3*l = 0.
-2, -1/2
Let h(m) = -5*m**2 - 14*m + 15. Let d(n) be the second derivative of 5*n**4/3 + 29*n**3/3 - 30*n**2 + 3*n - 2. Let j(u) = 2*d(u) + 9*h(u). Factor j(v).
-5*(v - 1)*(v + 3)
Factor -1/6*o**4 + 2/3*o + 3/2*o**2 + 0*o**3 - 2.
-(o - 3)*(o - 1)*(o + 2)**2/6
Suppose 265/3*a + 1/3*a**2 - 1076/3 = 0. What is a?
-269, 4
Determine a, given that 0*a**2 - 3*a**2 - 12*a**2 - 5*a**2 + a + 80 + 19*a - 5*a**3 = 0.
-4, -2, 2
Let x(b) = -b**2 + 12*b - 15. Let d be x(10). Suppose 2*s = -8, -3*s = -d*f + 13 + 9. Factor 11*o**f + 16*o**2 - 12 + 12*o - 30*o**2.
-3*(o - 2)**2
Let u(f) be the third derivative of 0 + 2/21*f**7 - 8/3*f**4 + 11/30*f**6 - 3*f - 1/28*f**8 - 8/3*f**3 - 3/5*f**5 + 33*f**2. Find g, given that u(g) = 0.
-1, -1/3, 2
Suppose -4*u - 397 = 4*o - 417, 0 = -5*u - o + 17. Find c such that 0*c**4 + 0 + 2/5*c**5 + 0*c - 4/5*c**2 - 6/5*c**u = 0.
-1, 0, 2
Let x(p) = -2*p**2 - 250*p - 256. Let t(y) = -y**2 - 250*y - 255. Let f(h) = 4*t(h) - 3*x(h). What is m in f(m) = 0?
-1, 126
Let j(r) be the second derivative of -35/6*r**3 + 5/12*r**4 + 8 + 15*r**2 + 2*r. Factor j(d).
5*(d - 6)*(d - 1)
Let u be (6*9/27)/((-121)/(-22) + -5*1). Suppose 4/9 + 16/9*l**2 - 14/9*l - 4/9*l**u - 4/9*l**3 + 2/9*l**5 = 0. Calculate l.
-2, 1
Let v be 348/16 + (-4)/(-16). Suppose 14*z = 78 - v. Factor -2/3*h**3 + 0*h + 2/3*h**2 + 0 - 2/3*h**z + 2/3*h**5.
2*h**2*(h - 1)**2*(h + 1)/3
Let h(j) be the second derivative of 0 + 49/48*j**6 + 27/4*j**2 + 417/32*j**4 + 27/2*j**3 + 859/160*j**5 - 35*j + 25/336*j**7. Factor h(g).
(g + 3)**3*(5*g + 2)**2/8
Let o(j) be the third derivative of -79/40*j**5 - 1521/4*j**3 + 16*j**2 + 1599/16*j**4 + 6 + 0*j + 1/80*j**6. What is s in o(s) = 0?
1, 39
Let i(q) = q**2 - 18*q + 16. Let z be i(12). Let r be z/(-10) - 40/10. Solve -4/5 + 2/5*s**5 + 4/5*s**2 - r*s**3 + 6/5*s + 0*s**4 = 0 for s.
-2, -1, 1
Let v(z) be the first derivative of -z**4/14 + 40*z**3/21 + 164*z**2 + 2688*z + 3591. Suppose v(a) = 0. Calculate a.
-14, 48
Let w(j) be the second derivative of 66*j + 6*j**3 - 18*j**2 + 1/3*j**4 - 1/5*j**5 + 0. Determine h so that w(h) = 0.
-3, 1, 3
Let j = 167 - 133. Factor 70*f**3 + f**2 - j*f**3 - 37*f**3.
-f**2*(f - 1)
Let g = 773/244 - 6469/2196. Factor -76/9*r - 26/3 + g*r**2.
2*(r - 39)*(r + 1)/9
Let v be (-36)/70*(-207)/(42228/1360). Let -2/7*r**5 + 2/7*r**3 - 6/7*r**4 + 22/7*r**2 + v*r + 8/7 = 0. What is r?
-2, -1, 2
Let u(j) be the second derivative of j**4/42 + j**3 - 22*j**2/7 + 21*j + 4. Find g such that u(g) = 0.
-22, 1
Let b be 3*2 - (6 - ((13 - 2) + -11)). Let a(t) be the third derivative of -1/60*t**5 + 0*t**3 - 7/24*t**4 + b*t - 8*t**2 + 0. Suppose a(d) = 0. Calculate d.
-7, 0
Suppose 5*u = -b + 21, 120*b + 5*u = 117*b + 23. Suppose b = -2*p + 30*g - 25*g, -3*g + 3 = 0. Suppose -9/2 - 15/2*z + 3/2*z**3 - 3/2*z**p = 0. What is z?
-1, 3
Suppose 4*a + 12 + 1 = -3*s, 3*s + a = -1. Let p = 5 - s. Factor -2*q**3 - 119*q**2 - p + 110*q**2 - 13*q + q.
-(q + 2)**2*(2*q + 1)
Let v(t) be the third derivative of -t**6/160 + 39*t**5/160 + 21*t**4/64 - 5*t**3/4 - 11*t**2 - 53*t. Suppose v(b) = 0. Calculate b.
-1, 1/2, 20
Suppose -3*c = -5*j - 2, -5*j + 6*j - 5*c = -18. Suppose 4*k**3 - 3*k**4 - k**4 + 124*k**j - 72*k**2 - 5*k**3 - 12 - 35*k = 0. What is k?
-4, -1/4, 1, 3
Suppose 0 = -2*m - 0*m. Suppose 0*x - 3*x + 4*i + 34 = m, -x = 4*i + 10. Suppose -4*r**2 + 4*r**2 + r**2 - x*r**2 + 20 = 0. What is r?
-2, 2
Let y(j) be the first derivative of j**6/42 + 22*j**5/35 + 39*j**4/14 + 16*j**3/3 + 73*j**2/14 + 18*j/7 - 2645. Factor y(i).
(i + 1)**4*(i + 18)/7
Let c(u) be the second derivative of -3/2*u**2 + 2 - 2/5*u**6 - 3/5*u**5 + 3/4*u**4 + u**3 + 11*u. Factor c(x).
-3*(x + 1)**2*(2*x - 1)**2
Suppose -53*j - 84 = -108*j + 13*j. Let -1/7*v**3 - 150/7 + 5*v + 4/7*v**j = 0. Calculate v.
-6, 5
Factor -768 - 278*v**2 - 85*v**2 + 1358*v - 165*v**2 + 84*v**3 + v**4 - 5*v**4 - 142*v.
-4*(v - 12)*(v - 4)**2*(v - 1)
Let n = 7806 + -3900. Let -147*s**4 + 2412*s - 275 - 3524*s**2 - 3301*s**2 - 25 + 954*s**2 + n*s**3 = 0. What is s?
2/7, 1, 25
Let b be 35/(-14) + 2 + 26/(-143)*1555/(-20). Solve 148/11*x - 2/11*x**2 + b = 0 for x.
-1, 75
Factor 48 - 141*k**2 + 96*k - 59*k - 15 + 71*k.
-3*(k - 1)*(47*k + 11)
Let w(z) be the first derivative of -8/3*z**3 - 12/5*z**5 + 70 + 16*z**2 + 0*z - 13*z**4. Find r, given that w(r) = 0.
-4, -1, 0, 2/3
Let r(t) = t**2 - 5575*t + 16718. Let u be r(3). Find m such that 6*m**u - 2/3*m**3 - 4*m - 32/3 = 0.
-1, 2, 8
Let o(f) be the third derivative of f**7/1960 + f**6/210 + f**5/56 + f**4/28 - 59*f**3/3 + 6*f**2 - 5*f. Let d(h) be the first derivative of o(h). Factor d(g).
3*(g + 1)**2*(g + 2)/7
Suppose 14*p = 3*x + 18*p - 16, -3*x = -2*p - 10. Suppose -4*b + 24 = x*y + 4, -2*y - 2 = -2*b. Factor -2/3 - 16/3*t - 49/6*t**b - 77/6*t**2.
-(t + 1)*(7*t + 2)**2/6
Let r(b) = 2170*b + 8720. Let k be r(-4). Find l such that 20/3*l**3 + 32/3 - k*l**2 - 80/3*l + 28/3*l**4 = 0.
-2, -1, 2/7, 2
Let p = 29073 + -29071. Let c(a) be the first derivative of -30*a - 5/3*a**3 + 35/2*a**p - 2. Factor c(q).
-5*(q - 6)*(q - 1)
Let z = -244863 + 244863. Solve 0*s + 5/2*s**3 + 5/4*s**2 - 15/4*s**4 + z = 0.
-1/3, 0, 1
Suppose 376/5*r**3 - 44*r**4 - 424/5*r + 364/5*r**2 - 96/5 = 0. What is r?
-12/11, -1/5, 1, 2
Factor 4*c**4 + 24 - 20*c**3 + 7*c + 13*c - 14148*c**2 + 14120*c**2.
4*(c - 6)*(c - 1)*(c + 1)**2
Let t(k) = -5*k - 7. Let b be t(-2). Suppose -3*z - 27 = -2*u, -4*u + 5*u + 4*z = -b. Find n such that 6*n + 68 - 68 + 3*n**3 + u*n**2 = 0.
-2, -1, 0
Let f(l) = -2*l**3 - 153*l**2 + 1261*l + 87. Let w be f(-84). Factor -2/13*d + 6/13*d**w + 4/13*d**4 + 0 + 0*d**2.
2*d*(d + 1)**2*(2*d - 1)/13
Factor 670/7*q + 774/7 + 2/7*q**3 - 102/7*q**2.
2*(q - 43)*(q - 9)*(q + 1)/7
Let l = -335590 - -1006786/3. Factor 0 - l*y - 2/3*y**3 + 4*y**2.
-2*y*(y - 4)*(y - 2)/3
Let k(v) be the second derivative of 0*v**4 - 1/60*v**6 - 1/3*v**3 + 24 - 2*v + 3/40*v**5 + 0*v**2. Suppose k(z) = 0. Calculate z.
-1, 0, 2
Let k = -137/34 - -77/17. Let o(q) be the first derivative of 2/15*q**5 + 18 + 4/9*q**3 + 0*q**2 - k*q**4 + 