 1)/5
Let c be (-58)/145*5/(-3). Factor -2/9*z**3 - 2/9 - 2/3*z - c*z**2.
-2*(z + 1)**3/9
Let n = 35682/5 + -7107. Suppose 4*f - 4 = 4*d, 23*d = -9*f + 10*f + 43. Suppose -24*b + n*b**f - 21/5*b**2 + 48/5 = 0. What is b?
-1, 4/7
Let r(o) be the second derivative of 0*o**2 + 1/18*o**4 + 0 + 1/30*o**5 + 12*o + 0*o**3. Let r(t) = 0. What is t?
-1, 0
Let o(a) be the third derivative of 0*a**4 + 0*a + 0*a**3 - 1/75*a**5 - 2/21*a**7 - 4*a**2 - 1/12*a**6 + 0. Find b, given that o(b) = 0.
-2/5, -1/10, 0
What is k in 2/5 + 2/5*k**5 - 4/5*k**3 - 4/5*k**2 + 2/5*k**4 + 2/5*k = 0?
-1, 1
Let p(f) be the second derivative of -14*f + 0 + 125/2*f**2 + 5/2*f**4 + 2*f**5 + 1/6*f**6 - 100/3*f**3. Let p(q) = 0. What is q?
-5, 1
Let g(b) be the first derivative of -15*b**4/4 + 13*b**3 - 6*b**2 - 12*b - 90. What is o in g(o) = 0?
-2/5, 1, 2
Let c = 81 + -77. Factor 4*m**3 - 24*m**3 - c*m**4 - 10*m**2 - 12*m - 18*m**2.
-4*m*(m + 1)**2*(m + 3)
Determine d so that 0 - 1/2*d**2 + 15/2*d = 0.
0, 15
Let p(m) be the first derivative of -2*m**3/3 - 15*m**2 + 79. Factor p(o).
-2*o*(o + 15)
Suppose 0 = -10*g + 43 + 577. Let t be g/20 + (-5)/10*-1. Factor 2*y**4 + 0 + 14/5*y**2 - 4/5*y - 2/5*y**5 - t*y**3.
-2*y*(y - 2)*(y - 1)**3/5
Let k(j) = 25*j**3 + 18*j**2 - 34*j - 15. Let n(x) = x**4 - 102*x**3 - 71*x**2 + 137*x + 61. Let s(u) = 26*k(u) + 6*n(u). Determine v, given that s(v) = 0.
-4, -3, -1/3, 1
Suppose 2*v = 5*v. Suppose 0*h + 5*h - 5 = v. Factor 8*m**2 - 1 + 15*m - h + 12*m**2 - 3.
5*(m + 1)*(4*m - 1)
Suppose 3*c - 1 = 5. Suppose -59*h = -60*h + c. Determine w so that -2/5*w + 0 - 4/5*w**4 + 4/5*w**h + 0*w**3 + 2/5*w**5 = 0.
-1, 0, 1
Let -3/5*b - 9/5*b**3 + 0 - 9/5*b**2 - 3/5*b**4 = 0. What is b?
-1, 0
Let l be 4/(-18) - (232/36)/(-2). Factor 3*y**5 - 2*y**5 - 7*y**5 - 6*y**4 - 3*y**3 + l*y**5.
-3*y**3*(y + 1)**2
Let s be (-147)/(-24) + -3 + -2. Suppose -18 = l + 8*z - 12*z, -5*z + 21 = -2*l. Factor -s*h**l + 21/8*h - 3/4.
-3*(h - 2)*(3*h - 1)/8
Let x(m) = -4*m + 79. Let y be x(19). Find g, given that 3*g**2 + 8*g**2 + 4*g - 4*g**2 - y*g**2 = 0.
-1, 0
Factor 16/5 + 162/5*a**3 + 24/5*a - 36*a**2.
2*(3*a - 2)**2*(9*a + 2)/5
Let k(l) be the first derivative of l**4/6 - l**3 + 4*l - 5. Let n(v) be the first derivative of k(v). Factor n(b).
2*b*(b - 3)
Factor -6*x**3 - x**3 + 9*x**3 + 2*x**3 - 994 + 896*x - 116*x**2 + 210.
4*(x - 14)**2*(x - 1)
Let b(j) be the second derivative of j**7/3360 + j**6/480 - j**4/24 + 2*j**3/3 + j**2 + 9*j. Let d(y) be the second derivative of b(y). Factor d(q).
(q - 1)*(q + 2)**2/4
Suppose 1189 = 366*p + 457. Factor 1/4*u + 1/8 + 1/8*u**p.
(u + 1)**2/8
Let f(p) be the second derivative of p**6/540 - p**4/9 + 2*p**3/3 - 30*p. Let k(v) be the second derivative of f(v). Determine u so that k(u) = 0.
-2, 2
Let z(l) = -l**2 - 6*l - 3. Let a be z(-5). Solve 35*d**2 - 35*d**a - d**4 + 1 + 2*d**3 - 2*d = 0 for d.
-1, 1
Let a be -4 + (10/3 - (-18)/27). Let i(q) be the second derivative of a*q**3 + 0 + 0*q**2 + 0*q**4 - 2/25*q**5 + 1/75*q**6 - 2*q. Suppose i(k) = 0. Calculate k.
0, 4
Let g be 16/(-24)*18/(-7). Suppose 7*x = 139 - 125. Factor g*s + 2/7*s**x + 18/7.
2*(s + 3)**2/7
Let n(i) be the third derivative of -i**5/100 - 5*i**4/8 + 27*i**3/5 - 175*i**2. Find u such that n(u) = 0.
-27, 2
Let 2802*r**2 - 835*r + 242*r**4 - 761*r + 800 - 619*r + 607*r - 872*r - 1364*r**3 = 0. What is r?
1, 20/11
Let u(b) = 5*b**5 - 5*b**4 - 11*b. Suppose -2*o - 4*t - 9 = -13, 4*o - 22 = -t. Let x(q) = q**5 - q**4 - 2*q. Let p(v) = o*u(v) - 33*x(v). Factor p(y).
-3*y**4*(y - 1)
Factor -4*c**5 - 160 + 368*c - 218*c**2 - 154*c**2 + 70*c**2 + 22*c**2 + 8*c**4 + 68*c**3.
-4*(c - 2)**3*(c - 1)*(c + 5)
Let j = 84218/3 + -28071. Let 0 + j*k**2 - k = 0. What is k?
0, 3/5
Let v = 9042 + -9039. Suppose 7*f = 3*f. Factor f*a**2 + 2/9*a**v + 0*a + 0.
2*a**3/9
Let n = 505 + -493. Let u(w) be the third derivative of 1/4*w**3 - n*w**2 - 1/120*w**5 + 0*w + 0 - 1/24*w**4. Factor u(v).
-(v - 1)*(v + 3)/2
Let a(m) be the third derivative of m**8/1848 + 4*m**7/1155 + m**6/165 + m**2 - 3. Factor a(d).
2*d**3*(d + 2)**2/11
Suppose 3*g + 3*q = -2*q + 40, 30 = 2*g + 4*q. Suppose -790 = -g*x - 0*x. Factor -5*h**2 + 143 - h**3 - 4*h**3 - x + 25*h.
-5*(h - 1)**2*(h + 3)
Let h = 1105 + -1100. Let q(d) be the third derivative of 0*d**4 - 3*d**2 + 0 + 0*d**3 - 3/40*d**6 + 1/70*d**7 + 1/10*d**h + 0*d. Factor q(o).
3*o**2*(o - 2)*(o - 1)
Suppose 2*k = 5*o + 568 + 134, 5*k = -20. Let g = 430/3 + o. Let g*f**2 + 3*f + 2/3 = 0. Calculate f.
-2, -1/4
Let h = 14 + 1. Let z = -49 - -57. Factor z*g**2 - 9*g**3 + h*g**4 - 17*g**2 + 3*g**2 + 0*g**2.
3*g**2*(g - 1)*(5*g + 2)
Suppose 0 = -24*j - 85 + 205. Suppose 4/3*u + 0*u**4 + 0*u**2 + 4/3*u**j - 8/3*u**3 + 0 = 0. What is u?
-1, 0, 1
Let g(a) be the first derivative of 3/5*a**5 + 3/4*a**4 - a**3 - 3/2*a**2 + 8 + 0*a. What is s in g(s) = 0?
-1, 0, 1
Determine q so that 23/8 + 1/2*q**2 - 93/8*q = 0.
1/4, 23
Suppose 51 - 61 = -5*s. Let -3*n**2 + s*n**2 + 2*n**2 - 15*n + 4*n**2 = 0. What is n?
0, 3
Let -48/11*n**2 + 0*n - 2/11*n**3 + 0 = 0. Calculate n.
-24, 0
Factor -52*f - 2366 - 2/7*f**2.
-2*(f + 91)**2/7
Let n be 770/60 - (-4)/6. Let y = -52 + 56. Find b, given that n*b**5 + 0 + 9/2*b**3 + 0*b - 1/2*b**2 - 27/2*b**y = 0.
0, 1/3
Suppose 36 = 2*x - 4*c, -3*c + 7*c - 36 = -4*x. Let b be x/30*(0 + 5). Factor t**b - 2*t + 0*t + t.
t*(t - 1)
Let q(j) be the second derivative of -j**7/420 - j**6/180 - 4*j**3/3 + 8*j. Let l(t) be the second derivative of q(t). Factor l(k).
-2*k**2*(k + 1)
Let l(x) be the first derivative of -x**6/1080 - x**5/120 - x**4/36 + 5*x**3/3 - 5. Let o(a) be the third derivative of l(a). Let o(t) = 0. What is t?
-2, -1
Solve -100*f - 5*f**5 + 20*f**4 + 55*f + 10*f**3 + 0*f**5 - 60*f**2 = 0.
-1, 0, 3
Let z(i) be the third derivative of 0 - 1/3*i**4 + 15*i**2 + 0*i**3 - 2/15*i**5 + 1/20*i**6 + 2/105*i**7 + 0*i - 1/168*i**8. Factor z(c).
-2*c*(c - 2)**2*(c + 1)**2
Let l(s) be the third derivative of 0*s**3 + 0 + 1/240*s**5 + 0*s + 7*s**2 + 1/96*s**4. Factor l(u).
u*(u + 1)/4
Let r = -31 + -7. Let c be (r/(-57))/(14/(-9) + 2). Factor c + 1/6*q**3 + 7/6*q**2 + 5/2*q.
(q + 1)*(q + 3)**2/6
Let y(v) be the third derivative of -591361*v**5/90 - 769*v**4/9 - 4*v**3/9 + 642*v**2. Factor y(l).
-2*(769*l + 2)**2/3
Let v(u) = -u**2 + u - 1402 + 0*u + 1403. Let x(d) = 5*d**3 - 55*d**2 + 295*d - 265. Let a(k) = -20*v(k) - x(k). Suppose a(m) = 0. What is m?
1, 7
Let c(x) be the first derivative of 5*x**4/32 - 3*x**3/4 + 21*x**2/16 - x + 107. Find s such that c(s) = 0.
1, 8/5
Let z be 228/171 + (-4)/3. Let o(b) be the second derivative of 0*b**2 + z*b**3 - 1/10*b**5 - 4*b + 0*b**4 + 0. Factor o(n).
-2*n**3
Let t(g) be the third derivative of -2/9*g**3 + 1/180*g**5 + 1/24*g**4 + 0 - 4*g**2 + 0*g. Factor t(a).
(a - 1)*(a + 4)/3
Let d(a) be the third derivative of 1/6*a**4 + 4*a**2 + 0 + 0*a + 1/3*a**3 + 1/30*a**5. Factor d(q).
2*(q + 1)**2
Let v(s) be the second derivative of 850*s**7/7 + 4804*s**6/9 + 10472*s**5/15 + 1264*s**4/3 + 1184*s**3/9 + 64*s**2/3 - 2*s - 666. Find b, given that v(b) = 0.
-2, -2/5, -2/9, -2/17
Let x = 123 + -112. Factor 60*s + 4 - x + 56*s**3 - 35*s**3 - 5 - 69*s**2.
3*(s - 2)*(s - 1)*(7*s - 2)
Suppose 0 = 3*k + k - 200. Suppose -160 = 23*g - 28*g. Factor 5*a**2 - g*a + 4 + 9 - 5 + 5*a**2 + k*a**3.
2*(a + 1)*(5*a - 2)**2
Let f(c) be the first derivative of -2*c**3/33 + 25*c**2/11 - 252*c/11 + 286. Factor f(o).
-2*(o - 18)*(o - 7)/11
Suppose 35*c - 1346 + 1276 = -0*c. Find f such that 0*f + 27/7 - 3/7*f**c = 0.
-3, 3
Suppose 7 = 4*d - 5. Suppose d*w = -0*w + 9. Factor -5*y - 5*y - w*y**2 + 4*y.
-3*y*(y + 2)
Let a(k) be the second derivative of 3*k**5/20 - 179*k**4/21 + 6137*k**3/42 - 289*k**2/7 - k - 9. Determine b, given that a(b) = 0.
2/21, 17
Let z = 3808793 - 4734329958/1243. Let m = -3/113 - z. Find c such that 0 - m*c - 2/11*c**2 = 0.
-1, 0
Let l(p) be the second derivative of -4/3*p**3 - 23*p - 2*p**2 + 0 - 5/12*p**4 - 1/20*p**5. What is s in l(s) = 0?
-2, -1
Let p(h) be the third derivative of -h**7/105 - h**6/60 + 2*h**5/15 + h**4/3 + h**2 - 309. Suppose p(w) = 0. What is w?
-2, -1, 0, 2
Let q = -82 - -84. Let h(j) be the third derivative of -1/54*j**4 + 1/540*j**6 + 0 + 0*j**3 + 0*j + 5*j**q + 1/270*j**5. Solve h(r) = 0.
-2,