or g(k).
3*(k - 1)*(k + 23)/5
Find h such that -3/8*h**3 + 120 - 54*h + 63/8*h**2 = 0.
5, 8
Suppose -12 = -3*d + 3*y, -6 = -3*d + 2*d + 3*y. Suppose -2*t - d*n + 0*n + 176 = 0, 2*n = -4*t + 352. Suppose -t - 50 - 3*c**2 - 54 - 48*c = 0. Calculate c.
-8
Let v(p) be the third derivative of p**2 - 117 + 7/6*p**5 - 11/120*p**6 + 0*p**3 + 1/420*p**7 + 0*p - 25/6*p**4. What is k in v(k) = 0?
0, 2, 10
Let g be 10/(1 - (-1 + 4)). Let b = -1 - g. Determine m, given that -m**5 - 12*m**b - 4*m**2 + 5*m**5 + 8*m**3 + 4*m**3 = 0.
0, 1
Let l = 3325 - 3325. Let s(g) be the third derivative of 5*g**2 - 3/92*g**4 + 0 - 1/115*g**5 + l*g**3 - 1/1380*g**6 + 0*g. Factor s(u).
-2*u*(u + 3)**2/23
Suppose -29*v + 23*v + 144 = 0. Let d be v/30*4/2. Factor d*z**3 + 0 - 2*z**4 - 2/5*z**2 + 0*z + 4/5*z**5.
2*z**2*(z - 1)**2*(2*z - 1)/5
Factor 4094*y**2 - 968*y - 1640 + 5*y**3 + 4647*y**2 - 652*y - 9131*y**2.
5*(y - 82)*(y + 2)**2
Suppose -2*d + 12*f + 6 = 13*f, 3*d - 3*f + 9 = 0. Let q be (-4)/(-12)*(85/55 - d). Factor 6/11*n**2 - 4/11*n - q*n**3 + 0.
-2*n*(n - 2)*(n - 1)/11
Determine l, given that -300/7*l + 0 - 3/7*l**3 - 87/7*l**2 = 0.
-25, -4, 0
Let 0 - 1/2*s + 1/4*s**5 + 3/4*s**2 + 1/4*s**3 - 3/4*s**4 = 0. Calculate s.
-1, 0, 1, 2
Let o(h) be the third derivative of -h**7/840 - h**6/480 + 8*h**2 - 23. What is z in o(z) = 0?
-1, 0
Find l such that 75/7*l**3 - 66/7 + 195/7*l**2 - 129/7*l**4 - 6/7*l**5 - 69/7*l = 0.
-22, -1, -1/2, 1
Let v(z) be the third derivative of -z**6/810 - 2*z**5/135 + 2*z**4/9 + 18*z**3 - z**2 - 79. Let a(s) be the first derivative of v(s). Factor a(o).
-4*(o - 2)*(o + 6)/9
Find k, given that 1/7*k**4 - 27/7*k**2 - 12/7*k**3 - 2*k + 0 = 0.
-1, 0, 14
Determine s so that -4728*s - 3211 - 6861010*s**3 - 1191*s**2 - 1505 + 6861007*s**3 = 0.
-393, -2
Let v be (-51269)/(-103707) - 4/46. Let l(b) be the second derivative of -2/3*b**2 + 0 + v*b**3 - 1/18*b**4 + 1/135*b**6 - 1/30*b**5 + 17*b. Factor l(r).
2*(r - 3)*(r - 1)**2*(r + 2)/9
Suppose -20*q + q - q - q = 0. Let y(b) be the third derivative of 1/60*b**5 + q + 0*b + 1/6*b**4 + 13*b**2 + 1/2*b**3. Factor y(g).
(g + 1)*(g + 3)
Let m be (6/(-615))/((-1492)/15293). Solve -m*p**2 + 0 + 4/5*p = 0 for p.
0, 8
Suppose -9/5*s**2 - 464/5*s - 140 = 0. Calculate s.
-50, -14/9
Suppose 342*i**2 - 3592/3*i + 424 + 10/3*i**3 = 0. What is i?
-106, 2/5, 3
Suppose -7*b + 10*b + 3*d + 3 = 0, 4*b - 23 = 5*d. Let o be (-144)/(-21)*8/(-12) - -5. What is g in -2/7*g**b + 0 - o*g**3 + 1/7*g = 0?
-1, 0, 1/3
Let m(j) be the second derivative of j**5/35 - j**4/84 - j**3/21 + 7*j**2/2 + 9*j - 2. Let d(t) be the first derivative of m(t). Suppose d(y) = 0. What is y?
-1/3, 1/2
Let u(a) = a**4 - 2*a**3 - a**2. Suppose -32 = 4*w + 4*w. Let n(m) = 57*m**3 + 65*m**2 - 188*m + 72. Let o(f) = w*n(f) + 36*u(f). Factor o(b).
4*(b - 9)*(b + 2)*(3*b - 2)**2
Let j(w) be the first derivative of -4*w**5/35 - 219*w**4/7 + 1784*w**3/21 + 1752*w**2/7 - 7072*w/7 - 3973. Solve j(z) = 0 for z.
-221, -2, 2
Let h(x) be the first derivative of 0*x + 1/24*x**6 + 0*x**2 + 3/20*x**5 + 1/12*x**3 + 3/16*x**4 - 204. Determine m, given that h(m) = 0.
-1, 0
Suppose 3*r - 4*r - 5 = 5*d, 0 = 3*r - 4*d - 23. What is l in 98*l**2 + 5*l**5 - 323*l**2 + 826*l - 196 - 703*l**2 + 5*l**r + 116*l**4 + 172*l**3 = 0?
-7, 2/5, 1
Determine n so that 28/9*n**2 - 3*n + 26/9*n**3 + 1/9*n**5 - 28/9*n**4 + 0 = 0.
-1, 0, 1, 27
Let n(z) = z**3 - 5*z**2 - 7*z + 10. Suppose -10*m + 5*m = -30. Let v be n(m). Factor 3*d**3 + d**5 - 4*d - 4*d**2 - 62*d**4 + 66*d**v + 0*d**5.
d*(d - 1)*(d + 1)*(d + 2)**2
Let d(l) = 6*l**3 + 200*l**2 + 44*l - 724. Let s be d(-33). Suppose 2/3*z**3 - 4 - 14/3*z + 0*z**s = 0. Calculate z.
-2, -1, 3
Let s = 57852 - 57842. Find j, given that 15/4*j**5 + 75/4*j**2 - s - 125/4*j**3 + 25/2*j + 25/4*j**4 = 0.
-4, -2/3, 1
Suppose 33*r = 3*r + 150. Let -10*p**2 - 6*p**5 - p**5 - 4328*p + 10*p**4 + 2*p**r + 4333*p = 0. Calculate p.
-1, 0, 1
Determine u so that 762/23*u**2 + 144/23*u + 126/23*u**4 - 216/23 + 10/23*u**5 + 518/23*u**3 = 0.
-6, -3, -1, 2/5
Suppose 0 = 3*h + 184 - 334. Let r be (0 - (-20)/h) + 13/5. Solve -2/3*t**2 - 2/3*t**r + 0*t + 0 + 2/3*t**4 + 2/3*t**5 = 0 for t.
-1, 0, 1
Let j be (((-2)/5)/((-1488)/6200))/((-5)/(-34)). Factor -2/3*v**2 + j*v - 32/3.
-2*(v - 16)*(v - 1)/3
Suppose 0 = -5*x - 4*f + 35, 2*f = 4*f - 10. Suppose -t = -g + x, 2*g + g - 2 = -4*t. Suppose -j**2 - 6 + 2*j**2 - 2*j**2 - 4*j + 3*j**g = 0. What is j?
-1, 3
Suppose 126/5 + 8/5*s**2 - 74/5*s = 0. What is s?
9/4, 7
Factor 4*a**3 + 532*a - 3267 + 128*a**2 + 3709 - 9106.
4*(a - 6)*(a + 19)**2
Let g(n) be the first derivative of -97 - 2*n**3 + 0*n + 0*n**2 + 3/2*n**4 - 3/10*n**5. Factor g(o).
-3*o**2*(o - 2)**2/2
Factor 1644/7*o + 2/7*o**3 - 286/7*o**2 + 0.
2*o*(o - 137)*(o - 6)/7
Let g(t) be the first derivative of t**4/8 + 4*t**3 + 153*t**2/4 + 65*t + 8494. Factor g(i).
(i + 1)*(i + 10)*(i + 13)/2
Factor -3*g**3 + 69 - 19*g - 69 - 39*g**2 - 17*g.
-3*g*(g + 1)*(g + 12)
Let t be (8 - (648/5)/18)/(4/3). Determine j so that 12/5*j**3 - 12/5*j + 0 + 3/5*j**2 - t*j**4 = 0.
-1, 0, 1, 4
Solve 46/3*k**3 + 4/3*k**4 + 68/3*k**2 + 24 - 190/3*k = 0.
-9, -4, 1/2, 1
Let p(z) be the second derivative of -3/20*z**5 - 6 + 0*z**2 - 8*z - 3/8*z**3 - 13/16*z**4. Factor p(l).
-3*l*(l + 3)*(4*l + 1)/4
Factor -2436*i**2 + 10 + 2352*i + 4879*i**2 - 2439*i**2 - 10.
4*i*(i + 588)
Factor 176*y - 857*y**2 + 0 - 4*y**3 + 0 + 1231*y**2 - 402*y**2.
-4*y*(y - 4)*(y + 11)
Let g(t) be the third derivative of 0*t + 1/21*t**7 + 2*t**3 + 0 + 180*t**2 + 3/2*t**5 - 9/20*t**6 - 29/12*t**4. Factor g(w).
2*(w - 3)*(w - 1)**2*(5*w - 2)
Let v(j) = -16*j + 68. Let i be v(3). Factor 12 + 8*k**2 - 530*k**3 + 528*k**3 - i*k**2 + 2*k.
-2*(k - 1)*(k + 1)*(k + 6)
Let j(x) = 20*x**2 + 32*x - 67. Let a(s) be the third derivative of -s**5/20 + s**4/24 - s**3/6 + 152*s**2. Let n(c) = 21*a(c) + 3*j(c). Solve n(r) = 0.
2, 37
Let i(v) be the first derivative of v**4/2 - 80*v**3/3 + 389. Solve i(n) = 0.
0, 40
Let j = 17 + 23. Find s such that -3*s**2 - j - 22*s**2 + 111*s - 17*s + 16*s = 0.
2/5, 4
Let v = -404011/5 + 404018/5. Find k such that -4/5*k**3 - 1/5 - 2/5*k + v*k**2 = 0.
-1/4, 1
Let g(x) be the third derivative of x**5/20 + 29*x**4/2 + 3365*x**3/2 - 8*x**2 - 5*x. Let d(v) = 1. Let u(y) = -3*d(y) + g(y). Factor u(q).
3*(q + 58)**2
Factor -8/3*s**2 - 1/3*s**3 + 0 - 7/3*s.
-s*(s + 1)*(s + 7)/3
What is b in 134 + 4/3*b**4 - 808/3*b**3 + 1405/3*b + 797/3*b**2 = 0?
-1/2, 2, 201
Factor 336 + 36*a**2 - 3/2*a**3 + 747/2*a.
-3*(a - 32)*(a + 1)*(a + 7)/2
Factor 1/2*j**2 - 285/8 - 1139/8*j.
(j - 285)*(4*j + 1)/8
Let a be 105/(-98)*4*14. Let i be (7 - 10) + a/(-14). Let 3/7*s**2 + 6/7 - i*s = 0. What is s?
1, 2
Let 88*w**2 - 72/5*w**3 - 132/5*w**4 - 36/5*w - 4*w**5 - 36 = 0. Calculate w.
-5, -3, -3/5, 1
Let y(d) be the second derivative of 25/3*d**2 + 2*d + 5/72*d**4 - 35/12*d**3 - 25. Factor y(f).
5*(f - 20)*(f - 1)/6
Let n(b) be the second derivative of b**5/100 - 103*b**4/30 - 83*b**3/6 - 104*b**2/5 + 5159*b. Factor n(j).
(j - 208)*(j + 1)**2/5
Let f = 21188/1017 - -94/339. Let 38/3*n**3 + 0 + 26/9*n**4 + f*n**2 + 2/9*n**5 + 100/9*n = 0. Calculate n.
-5, -2, -1, 0
Determine a, given that -10694/5*a**3 - 1233/5*a**4 + 1156/5 + 952*a - 36/5*a**5 - 2053/5*a**2 = 0.
-17, -2/3, -1/4, 2/3
Let n(x) be the third derivative of 9/280*x**6 - 5/14*x**4 + 1/245*x**7 + 3/70*x**5 - 118*x**2 + 0 - 12/7*x**3 + 0*x. Factor n(p).
3*(p + 2)**3*(2*p - 3)/7
Let q = -383 - -393. Factor -218*i**4 - 6*i**2 + 12*i**3 - q*i**2 + 219*i**4 + 3*i**3.
i**2*(i - 1)*(i + 16)
Let x(s) = -1 - 2*s - 1 + 4*s**2 - 3*s**2 + 7. Let q be x(-8). Determine n so that q*n + 20*n**2 + 18 + 24 + 3 + 15*n**2 - 5*n**3 = 0.
-1, 9
Factor -1/7*o**2 - 205/7*o + 0.
-o*(o + 205)/7
Suppose -10 - 13 = -3*g + 5*q, 17 = 5*g - 3*q. Let b be (-15 - -15)/(2 - g). Solve 0 + b*o + 1/2*o**3 - o**2 = 0 for o.
0, 2
Let y(x) be the second derivative of 2*x**6/315 + x**5/140 - x**3/3 - 5*x**2/2 + 39*x. Let k(z) be the second derivative of y(z). Factor k(j).
2*j*(8*j + 3)/7
Let t = 79/410 + 3/410. Let x(v) be the second derivative of 0 + 11*v + 3*v**4 + 54*v**2 - 18*v**3 - t*v**5. Find l such that x(l) = 0.
3
Let v(s) be the first derivative of 2*s**3/21 + 65*s**2/7 + 1188*s/7 - 659. Factor v(w).
2*