7/25415 - 1/1495. Find t, given that 22/17*t**4 + 0 + c*t**3 + b*t**5 - 2/17*t + 2/17*t**2 = 0.
-1, 0, 1/4
Let u(i) be the second derivative of -19*i + 0 + 1/40*i**6 + 0*i**2 + 5/16*i**4 - 1/4*i**3 - 3/20*i**5. Factor u(y).
3*y*(y - 2)*(y - 1)**2/4
Let s(w) be the second derivative of 0*w**4 - 1/147*w**7 + 0*w**3 + 0*w**2 - 1/70*w**5 - 9*w + 0 - 2/105*w**6. Suppose s(d) = 0. What is d?
-1, 0
Let b = -58473/5 - -11695. Let 8/5*q - 6/5 - b*q**2 = 0. Calculate q.
1, 3
Let n(a) be the first derivative of -a**5/30 - a**4/12 - 9*a**2/2 + 3. Let g(k) be the second derivative of n(k). Factor g(q).
-2*q*(q + 1)
Let o(h) = h**3 - 5*h**2 - 2. Let s be o(5). Let p be (s + (-2 - -3))*-2. Determine g so that 2 + g - 2*g - 1 - g + g**p = 0.
1
Let w(q) be the third derivative of 1/180*q**5 - 6*q**2 - 1/144*q**4 + 0 + 0*q**3 + 0*q - 1/720*q**6. Factor w(y).
-y*(y - 1)**2/6
Suppose 4*v = -2*q + 4, 0 = q + 1 + 3. Factor 71*j**4 + 4*j**3 - 67*j**4 - 8*j**v.
4*j**3*(j - 1)
Suppose -2*p = -4*k - 26, 10 = -11*k + 9*k. Let a(g) be the second derivative of 0 + 0*g**2 + g - 1/24*g**4 - 1/6*g**p. Factor a(z).
-z*(z + 2)/2
Let p(n) be the second derivative of -3/10*n**5 + 1/2*n**3 + 4*n + 0 + 1/14*n**7 + 0*n**6 + 0*n**2 + 0*n**4. Solve p(y) = 0.
-1, 0, 1
Let 12/7*q**3 - 8/7*q - 4/7*q**4 - 4/7*q**5 + 0 + 4/7*q**2 = 0. Calculate q.
-2, -1, 0, 1
Let p be 3 - (10/(5 + 0) - 2). Let r(s) be the first derivative of 5 + 3*s**2 - 3/4*s**3 - p*s. Factor r(y).
-3*(y - 2)*(3*y - 2)/4
Suppose -3*j - 146 + 1466 = 0. Suppose 181*x**3 + 176*x**4 + 28*x**5 + 208*x + 51 + j*x**2 - 19 + 231*x**3 = 0. Calculate x.
-2, -1, -2/7
Let q(f) be the third derivative of 73*f**6/60 - f**5/15 - f**2 - 221*f. Determine u, given that q(u) = 0.
0, 2/73
Suppose 6*s - 3*s - 64 = 4*c, -5*c = 5*s - 95. Suppose 0 = 5*a + 4*v + 9 + 7, a + 5*v = -s. What is u in 67*u + a*u**3 - 1 - 2*u**3 - 5*u**2 - 71*u = 0?
-1, -1/2
Let w be -2*2 - 30527/(-6909). Let x = w - 4/47. Factor 5*u**2 + 13/3*u**3 + 7/3*u + x + 4/3*u**4.
(u + 1)**3*(4*u + 1)/3
Suppose -5*k - 21 = 39*z - 36, 5*z - 12 = -4*k. Factor 3/2*l**3 + 0*l**2 - 3/2*l + z.
3*l*(l - 1)*(l + 1)/2
Suppose 0 = -81*k - 53*k + 402. Determine n so that -4/13*n**k + 2/13*n**4 + 0 + 0*n + 2/13*n**2 = 0.
0, 1
Let g(k) be the third derivative of k**7/14 - k**6/24 - 4*k**2 + 29. What is b in g(b) = 0?
0, 1/3
Let z(j) be the first derivative of -2/9*j**3 + 8 + 0*j - 1/6*j**2 - 1/12*j**4. Factor z(q).
-q*(q + 1)**2/3
Let m = 27 - 24. Suppose 0*w - 12 = -m*w. Factor -2*y**5 + 2*y - 9*y**3 + 0*y**5 + y**5 - w*y**5 + 13*y**4 - y**2.
-y*(y - 1)**3*(5*y + 2)
Let l(s) be the first derivative of -s**7/56 - s**6/40 + 3*s**5/16 - 3*s**4/16 - 12*s + 43. Let x(u) be the first derivative of l(u). Factor x(n).
-3*n**2*(n - 1)**2*(n + 3)/4
Let f(o) be the first derivative of 1/160*o**6 + 0*o + 7 - 1/2*o**3 + 3/80*o**5 + 0*o**4 - 7/2*o**2. Let n(k) be the second derivative of f(k). Factor n(i).
3*(i - 1)*(i + 2)**2/4
Let d(u) = u**2 - 4*u - 10. Let i be d(5). Let x be i/((-195)/6) - (-213)/52. Find m, given that 5/4*m**2 + 3/2 + x*m = 0.
-3, -2/5
Suppose 3*u - 18 = 4*w - 24, 18 = 4*w + 3*u. Factor -k - 1/3*k**w + 4/3*k**2 + 0.
-k*(k - 3)*(k - 1)/3
Suppose 0 = 279*j - 281*j - 18. Let n be j/(-6) - (-11)/22. What is c in 4/7*c + 4/7*c**n + 0 = 0?
-1, 0
Let j = 42 - 26. Suppose 4*q = 3*p - p + j, 3*p + 4 = 2*q. Find y, given that -40*y**4 - 60*y**3 + 65*y**4 + 8*y + 34*y - 55*y**p - 12*y = 0.
-1, 0, 2/5, 3
Let x = 143 + -304. Let y = -159 - x. Find i such that -1/3*i + 1/3 - 1/3*i**y + 1/3*i**3 = 0.
-1, 1
Let w = 64 + -54. Factor 6*c - w*c**2 + 5*c**2 + 5 + 4*c - 10*c**3.
-5*(c - 1)*(c + 1)*(2*c + 1)
Let w = -39 + 44. Suppose n = -y - 0*y + w, y - 3 = 0. Determine f, given that -3/2 + 1/2*f**n + f = 0.
-3, 1
Find i such that -2/3*i**3 - i**2 + 4/3*i + 1/3*i**4 + 4/3 = 0.
-1, 2
Let h(o) be the first derivative of -2*o**3/45 + 68*o**2/15 + 56*o/3 - 532. Solve h(a) = 0 for a.
-2, 70
Let f(t) = 5*t**2 + 10*t + 5. Let x(d) = -d**3 - 6*d**2 - 9*d - 4. Let p = 4 + -9. Let w(j) = p*x(j) - 4*f(j). Find k, given that w(k) = 0.
-1, 0
Suppose 8/3*y**2 - 14/3*y + 2 = 0. What is y?
3/4, 1
Let r(u) = u**3 + 2*u**2 + u - 1. Let m be r(1). Factor 0 + 4/15*p**4 + 2/15*p + 0*p**m - 2/15*p**5 - 4/15*p**2.
-2*p*(p - 1)**3*(p + 1)/15
Let w(p) be the first derivative of p**5/10 + p**4/24 - 2*p**3/3 - p**2/3 - 107. Factor w(k).
k*(k - 2)*(k + 2)*(3*k + 1)/6
Suppose 0 = -2*u - 3*u. Let d be (-498)/(-270) - (-560)/(-400). Suppose u*c**2 + d*c**4 + 0*c - 2/9*c**5 - 2/9*c**3 + 0 = 0. Calculate c.
0, 1
Let d = -10096/55 - -2292/11. Let a = d + -24. Factor 2/5*b**4 + 0 - 4/5*b - 2/5*b**2 + a*b**3.
2*b*(b - 1)*(b + 1)*(b + 2)/5
Let y be (-95)/(-6)*78/520. Let a = -49/24 + y. Let 4/3*m - 4/3 - a*m**2 = 0. What is m?
2
Let n(i) be the third derivative of i**6/160 + i**5/40 - 3*i**4/32 + 86*i**2. Let n(b) = 0. What is b?
-3, 0, 1
Let d = -406 - -408. Let o = -40/3 - -44/3. Factor 0 + 0*m - 2/3*m**3 + 2/3*m**4 - o*m**d.
2*m**2*(m - 2)*(m + 1)/3
Let m(c) be the third derivative of -c**6/240 - 5*c**5/24 + 13*c**4/24 + 69*c**2. Factor m(s).
-s*(s - 1)*(s + 26)/2
Let u(c) = -c**3 - 7*c**2 - 2*c + 10. Let h be u(-6). Let r = h + 17. Suppose -3*n**2 + 2 - r*n**2 - 2*n**2 + 6*n**2 = 0. What is n?
-1, 1
Find u such that -32/9 + 110/9*u**2 - 14/9*u**3 - 208/9*u = 0.
-1/7, 4
Let y = 14302/3 + -4720. Let r = y + -47. Let r*w**2 + 0*w + 0 = 0. Calculate w.
0
Let f be (-264)/(-18) - ((-6)/(-9) - 0). Determine s so that f*s - 2*s**3 + 36 - 56*s - 3*s**2 + 19*s**2 = 0.
2, 3
Let w(d) be the second derivative of -3*d**5/140 - 5*d**4/42 + 3*d**3/14 + 2*d**2/7 - 5*d. Determine v, given that w(v) = 0.
-4, -1/3, 1
Let w be (-10)/14 + 4 - 3. Suppose -2/7*v**2 - w*v + 4/7 = 0. Calculate v.
-2, 1
Let z(l) be the first derivative of 3*l**4/4 - 5*l**3/3 - l**2 - 12. Determine o so that z(o) = 0.
-1/3, 0, 2
Suppose 48/11*w + 10/11*w**2 - 2/11*w**3 + 0 = 0. What is w?
-3, 0, 8
Let n(a) be the second derivative of a**6/15 - 17*a**5/80 + a**4/24 - 13*a. Determine z so that n(z) = 0.
0, 1/8, 2
Let p(b) = 3*b**2 - b + 2. Let o be p(1). Suppose -i**5 - 36 + 0*i**3 + 2*i**3 + 36 + i**o = 0. Calculate i.
-1, 0, 2
Let l be -5 + 11 + (-8)/2. Let q(s) be the first derivative of -1/3*s**3 - 3 - 1/5*s**5 + 0*s**l + 0*s + 1/2*s**4. Factor q(d).
-d**2*(d - 1)**2
Let a(c) = -4*c**2 - 39*c - 72. Let l(x) = 12*x**2 + 116*x + 216. Let y(b) = 16*a(b) + 5*l(b). Factor y(u).
-4*(u + 2)*(u + 9)
Factor -1/2*p**2 + 6*p - 11/2.
-(p - 11)*(p - 1)/2
Suppose -15 = -3*z - 0*z. Suppose 0*d = 4*x - 5*d - 30, -20 = -3*x + z*d. Factor -x*k - 2*k**4 + 4*k + 4*k**3 + 4*k**3 + 4*k**2 - 18 - 18*k.
-2*(k - 3)**2*(k + 1)**2
Let k(w) be the third derivative of w**6/60 + w**5/15 - 5*w**4/12 - 2*w**3 + 50*w**2 + 2. Find f, given that k(f) = 0.
-3, -1, 2
Let z = -7 + -7. Let l be z/(-49) - 12/(-7). Let 8*w - l - 37*w**2 - 27*w**2 + 52*w**2 + 8*w**3 - 2*w**4 = 0. What is w?
1
Let m be 40/(-6) - 4/(-6). Let k = m + 10. What is j in -2/5 + 9/5*j**2 + 3/5*j - 3/5*j**k + 1/5*j**3 = 0?
-1, 1/3, 2
Let q(v) be the first derivative of 32*v**3/5 + 8*v**2/5 + 2*v/15 + 87. Solve q(b) = 0.
-1/12
Let x(q) be the second derivative of -q**5/4 - 5*q**4/12 + 85*q**3/6 - 75*q**2/2 - q + 2. Solve x(l) = 0 for l.
-5, 1, 3
Factor 0*g**2 - 4/3*g**3 + 16/9*g + 0 + 4/9*g**4.
4*g*(g - 2)**2*(g + 1)/9
Let t be (-1 - -1)/(1*2). Let m be (0*(-1)/6)/1. Factor m + 3/4*k**3 + t*k + 0*k**2.
3*k**3/4
Let o(j) be the first derivative of -1/10*j**4 + 6/5*j**2 - 18 + 2/15*j**3 + 0*j. Find x, given that o(x) = 0.
-2, 0, 3
Let t = -45/38 + 51/19. Factor t*k**2 + 0*k - 3/2.
3*(k - 1)*(k + 1)/2
Let t = -3203 - -12813/4. Solve 1/2*v**4 + 0*v - t*v**5 - 1/4*v**3 + 0 + 0*v**2 = 0.
0, 1
Let j = 113 + -108. Suppose 4*i = 5*d - 8, 0 = -2*d - 11*i + 12*i + j. Solve 3/2*t**3 - 3/2*t + 1/2*t**2 + 1/2*t**d - 1 = 0 for t.
-2, -1, 1
Let y(t) be the third derivative of t**8/2016 - t**7/630 - t**6/240 + t**5/45 - t**4/36 + 399*t**2. Factor y(c).
c*(c - 2)*(c - 1)**2*(c + 2)/6
Let s be ((-2)/18*-3)/(5/(-15)) + 4. Suppose 10/7*y**2 + 0 + 4/7*y + 2/7*y**s - 10/7*y**4 - 6/7*y**5 = 0. What is y?
-1, -2/3, 0, 1
Let p(a) be the second derivative of -18/7*a**2 - 4/21*a**4 + 41*a + a**3 + 0 + 1/70*a**5. Let p(r) = 0. Calculate r.
2, 3
Let x(h) = h**2 - h