 - 120)*(5*j + 3)/7
Let h(b) be the second derivative of -17/80*b**5 + 0*b**2 - 1/12*b**6 + 0 - 1/12*b**4 - 101*b + 1/8*b**3. Suppose h(t) = 0. What is t?
-1, 0, 3/10
Let w = 2247/8 - 45323/168. Let x = 80/7 - w. Find z, given that -12 + 4*z - x*z**2 = 0.
6
Let v(s) be the first derivative of -28*s - 1/3*s**3 + 11/2*s**2 + 155. Find f, given that v(f) = 0.
4, 7
Let 75*r**3 - 265/2*r**2 + 415/4*r + 5/4*r**5 - 30 - 35/2*r**4 = 0. What is r?
1, 3, 8
Let o(q) be the first derivative of -2*q**3/51 + 6*q**2/17 + 268. Factor o(u).
-2*u*(u - 6)/17
Let g(j) be the first derivative of -j**4/14 + 44*j**3/21 + 23*j**2/7 + 953. What is i in g(i) = 0?
-1, 0, 23
Let f = 1 + -876. Let v be (-2825)/f + 2/10. Factor 6/7*l - v + 3/7*l**2.
3*(l - 2)*(l + 4)/7
Let j(s) be the first derivative of -214 + 0*s**2 + 0*s - 3/5*s**5 + 15/4*s**4 - 4*s**3. Factor j(q).
-3*q**2*(q - 4)*(q - 1)
Let k be (-25)/(400/96) + (-94569)/(-14392). Let v = 1/2056 + k. Determine c, given that -v + 0*c + 1/7*c**2 = 0.
-2, 2
Let v be (-14)/(-1071)*85 - 328/(-126). Factor 4 - 2/7*d**2 - v*d.
-2*(d - 1)*(d + 14)/7
Let q(m) be the second derivative of 1/120*m**6 + 0 + 0*m**3 - 130*m + 3/8*m**5 + 0*m**2 + 0*m**4. Factor q(j).
j**3*(j + 30)/4
Let x(y) be the first derivative of -y**4/16 - 2*y**3/3 + 35*y**2/8 + 147*y/2 + 480. Determine w so that x(w) = 0.
-7, 6
Let k(l) be the first derivative of -2*l**3/33 - 1112*l**2/11 - 618272*l/11 - 1373. Factor k(c).
-2*(c + 556)**2/11
Let w = -124349/5 + 24870. Factor 6/5 + 13/5*o + 8/5*o**2 + w*o**3.
(o + 1)**2*(o + 6)/5
Let z = 49199 - 49197. Let a(d) be the third derivative of -1/30*d**5 - 8/3*d**3 - 4*d**z + 0*d + 5 + 1/2*d**4. Factor a(w).
-2*(w - 4)*(w - 2)
Let h = 1148 + -2071. Let y = -923 - h. Factor 0*x - 6/11*x**2 + 6/11*x**3 + 6/11*x**4 + y - 6/11*x**5.
-6*x**2*(x - 1)**2*(x + 1)/11
Let u(j) = 5*j - 5. Let s(c) = c - 1. Let y(z) = 4*s(z) - u(z). Let l(d) = 55*d**2 + 16*d - 6. Let p be -1*1*2/(-2). Let q(v) = p*l(v) + 6*y(v). Factor q(o).
5*o*(11*o + 2)
Find l, given that 0 + 16/3*l - 98/9*l**2 + 4/9*l**3 = 0.
0, 1/2, 24
Let q(n) be the first derivative of -n**4/7 + 72*n**3/7 + 2*n**2/7 - 216*n/7 + 1669. Factor q(v).
-4*(v - 54)*(v - 1)*(v + 1)/7
Let m(t) be the third derivative of -t**8/336 + t**7/120 - t**6/180 + 19*t**3/3 - 3*t**2 - 7. Let r(s) be the first derivative of m(s). Solve r(q) = 0.
0, 2/5, 1
Let l = 9370593/5650 + -34/2825. Let g = l + -1624. Let 147/2*r**5 + 201/2*r**3 - g*r**2 + 6 + 357/2*r**4 - 24*r = 0. What is r?
-1, 2/7
Find x such that -222010/3 - 37995*x - 5/3*x**3 - 500*x**2 = 0.
-149, -2
Let r(b) be the first derivative of 43*b**6/15 + 68*b**5/5 - 4*b**4/5 - 1376*b**3/15 - 656*b**2/5 + 64*b/5 - 5786. Let r(v) = 0. Calculate v.
-2, 2/43, 2
Let i(x) be the second derivative of -x**6/180 - 123*x**5/40 - 245*x**4/24 - 367*x**3/36 + 6791*x. Factor i(l).
-l*(l + 1)**2*(l + 367)/6
Let d(o) be the third derivative of -o**6/540 - o**5/54 + 77*o**4/108 + 49*o**3/3 - 1953*o**2. Find j such that d(j) = 0.
-7, 9
Suppose 3*q - 4*v = -45, -3*q + 5*v - 237 = -177. Let -36/13*y + 142/13*y**3 + 74/13*y**4 + 0 + 22/13*y**2 - 10/13*y**q = 0. Calculate y.
-1, 0, 2/5, 9
Let m(r) be the third derivative of 0*r**3 - 1/480*r**6 + 0*r + 7/48*r**4 + 90*r**2 + 0 + 1/48*r**5. Suppose m(b) = 0. Calculate b.
-2, 0, 7
Suppose 8*c + 323 = 25*c. Solve 26*v**4 + 3*v**2 + 12*v**5 + c*v**4 + 11*v**4 + 63*v**3 - 17*v - 3 - 2*v = 0 for v.
-3, -1, -1/6, 1/2
Let q(t) be the first derivative of -1/22*t**4 - 16/11*t + 6/11*t**2 + 74 + 2/11*t**3. Factor q(b).
-2*(b - 4)*(b - 1)*(b + 2)/11
Let o(c) be the first derivative of -72 - 20*c - 25/2*c**2 - 5/3*c**3. Solve o(l) = 0 for l.
-4, -1
Factor -1583*q**3 + 4749*q**3 - 1580*q**3 - 1588*q**3 + 182*q**2 - 356*q.
-2*q*(q - 89)*(q - 2)
Let z(v) be the first derivative of v**6/12 + 3*v**5/10 - 31*v**4/4 + 16*v**3 + 40*v**2 - 328. Find c such that z(c) = 0.
-10, -1, 0, 4
Let o be (-3)/(-3)*((2 - 7) + 7). What is z in -36 + 302*z + 301*z - 3*z**o - 624*z = 0?
-4, -3
Let r = 719 - 5018/7. Let n = -38/21 + r. Suppose 2/3*i**2 - 1/3 - n*i**4 - 1/2*i + 1/2*i**3 = 0. What is i?
-1, -1/2, 1, 2
Let h(p) be the first derivative of 0*p**2 + 0*p**4 - 126 + 0*p**3 + 0*p + 2/75*p**5. Factor h(l).
2*l**4/15
Let c(z) = -5*z + 7*z**2 - 17*z**2 - 21*z + 3*z**2 + 2 + 9*z**2. Let x be c(13). Suppose -20/3 - 60*b + 455/3*b**3 - 85*b**x = 0. Calculate b.
-2/7, -2/13, 1
Let p(g) be the second derivative of -2*g**6/15 + 11*g**5/10 - 7*g**4/2 + 17*g**3/3 - 5*g**2 - 24*g + 33. Suppose p(w) = 0. Calculate w.
1, 5/2
Let s(b) be the second derivative of -b**6/780 + b**5/130 + b**4/156 - b**3/13 - 107*b**2 + 28*b. Let j(g) be the first derivative of s(g). Factor j(d).
-2*(d - 3)*(d - 1)*(d + 1)/13
Factor 3/5*h**3 + 45 + 33*h + 39/5*h**2.
3*(h + 3)*(h + 5)**2/5
Let u(r) = -r**3 - 12*r**2 + 11*r - 24. Let b be u(-13). Determine j, given that 14435 + 10065 + 91*j + 26*j**2 - 21*j**b + 609*j = 0.
-70
Let i(l) be the second derivative of -10/3*l**2 + 0 + 2/63*l**7 - l - 22/9*l**3 - 2/9*l**4 + 2/3*l**5 + 14/45*l**6. Factor i(g).
4*(g - 1)*(g + 1)**3*(g + 5)/3
Let s(r) = r. Let c = -35 + 38. Let x(b) = 105 - 94*b + b**2 + c*b**2 + b**2 + 300. Let u(n) = 4*s(n) + x(n). Let u(y) = 0. What is y?
9
Let o(k) = 3*k**3 + 16*k**2 + 2851*k + 11344. Let l be o(-4). Find u such that 36/5 + 17/5*u**l + 373/5*u**2 + 138/5*u**3 + 348/5*u = 0.
-3, -2, -2/17
Let j be -1*((-2)/19 - (12400/608 - 16)). Suppose 0 = 2*r - 8, -5*r + 2*r + 12 = -5*q. Factor 0 + q*l**3 - 6*l**2 + 3/2*l**5 + 0*l + j*l**4.
3*l**2*(l - 1)*(l + 2)**2/2
Let p(i) = 6*i**2 - i - 2. Let z be p(3). Let m = z + -46. Factor -6*t**m + 2*t**2 - 4*t + t + 4*t**4 + 3*t.
2*t**2*(t - 1)*(2*t - 1)
Let n(r) = -r**3 - 2*r**2 + 2. Let t be n(-2). Let s be (-90)/(-9)*(8 + (-2156)/280). Factor -2/13*a + 2/13*a**s + 0 + 2/13*a**t - 2/13*a**4.
-2*a*(a - 1)**2*(a + 1)/13
Suppose -7*g = -18 - 3. Let a be 31 - 4212/135 - (-46)/30. Let g - 7/2*x + a*x**2 - 1/6*x**3 = 0. Calculate x.
2, 3
Let a(f) = -3*f**3 + f**2 + f + 4. Let k(q) = 26*q**3 - 5337*q**2 - 1337*q - 8. Let u(r) = 2*a(r) + k(r). Let u(i) = 0. Calculate i.
-1/4, 0, 267
Let o(x) = 6*x**2 + 90*x + 246. Let z(u) = -7*u**2 - 90*u - 247. Let t(i) = 4*o(i) + 3*z(i). Factor t(n).
3*(n + 3)*(n + 27)
Let k(g) be the second derivative of 2/15*g**4 - g + 0*g**3 - 1/25*g**5 + 0*g**2 - 8. Factor k(j).
-4*j**2*(j - 2)/5
Let v(n) be the third derivative of -n**7/315 + 17*n**6/90 - 289*n**5/90 + 4*n**2 - 610*n. Factor v(p).
-2*p**2*(p - 17)**2/3
Let o(d) be the first derivative of d**5/270 - d**4/18 + 69*d**2 + 51. Let a(n) be the second derivative of o(n). Factor a(i).
2*i*(i - 6)/9
Let j(h) be the first derivative of 3*h**4/5 - 32*h**3/3 + 214*h**2/5 + 72*h + 181. Let j(g) = 0. What is g?
-2/3, 5, 9
Let q(f) be the third derivative of f**7/280 - f**6/40 + 3*f**5/40 - f**4/8 - 23*f**3/2 + f**2 + 2. Let i(t) be the first derivative of q(t). Factor i(b).
3*(b - 1)**3
Let v(z) be the first derivative of 2*z**7/735 + z**6/105 - z**2/2 - 45*z - 34. Let k(d) be the second derivative of v(d). Factor k(x).
4*x**3*(x + 2)/7
Let c be ((-141)/235)/(-6 - (-3 - 1116/380)). Find b such that -3 - c*b**2 + 59/2*b = 0.
2/19, 3
Let t be (-4700)/125 - 3/(-5). Let f = t - -41. Find o, given that -12*o**3 - 48 + f*o**4 - 23*o - o**4 + 41*o + 30*o = 0.
-2, 2
Let r(p) = -4*p**2 - 11*p - 16. Suppose 8*o = -15*o + 17*o - 24. Let v(j) = -4*j - 5*j**2 + j**2 - 16 - 8*j. Let a(x) = o*r(x) + 5*v(x). Solve a(y) = 0 for y.
-2
Let u(x) be the second derivative of -5*x**2 + 1/2*x**3 + 0 + 3/20*x**5 + 21*x + 4/3*x**4. Determine o so that u(o) = 0.
-5, -1, 2/3
Let h = 117 - -623. Let -3*a**3 + h - 200 - 18*a**2 + 12*a + 69*a**2 - 300*a = 0. Calculate a.
5, 6
Suppose -52*q + 47*q = -10. Suppose -4 = -2*a - 0. Suppose 12*t**q - 8*t**2 + 20*t + 0*t**2 + 11*t**a + 5 = 0. What is t?
-1, -1/3
Let z(p) be the third derivative of 225*p**2 + 0*p - 65/216*p**4 + 0 + 1/180*p**5 + 7/9*p**3. Solve z(w) = 0 for w.
2/3, 21
Suppose -221 = -30*s + 439. Suppose s*j - 8 = 58. Factor 7/4*q**j - 9/4*q**2 - 3*q + 1.
(q - 2)*(q + 1)*(7*q - 2)/4
Let s = -19/754 + 24223/3770. Suppose 64/5 + s*f**2 + 4/5*f**3 + 16*f = 0. What is f?
-4, -2
Let i = 100623/704263 - 2/100609. Solve 3/7*m**3 - 2/7 + i*m**4 - 3/7*m + 1/7*m**2 = 0.
-2, 