 + 1/8*y**5.
y**2*(y - 1)*(y + 1)**2/8
Suppose -416 = -19*a - 359. Let c = 93/266 - -3/38. Determine k so that 0 - c*k**5 + 6/7*k**2 + 0*k**a + 3/7*k - 6/7*k**4 = 0.
-1, 0, 1
Let h(c) = -c**3 + 7*c**2 - 6*c + 3. Let q be h(6). Suppose 10*y + 0*y - 40 = 0. Find b such that y*b**2 - 3 - 2*b**q - b**2 - 9*b + 12*b - b**3 = 0.
-1, 1
Let l(t) be the second derivative of t**6/15 + t**5 + 6*t**4 + 18*t**3 + 27*t**2 - 22*t. What is p in l(p) = 0?
-3, -1
Suppose -23*r - 630 = 3*r - 630. Factor r + 3/4*c - 9/2*c**2.
-3*c*(6*c - 1)/4
Let t be (-39)/(-4) - (-4)/16. Let m be (-18)/(-30)*t/2. Let -3*u**3 + 4*u**2 + 4*u - u**3 - 4*u**4 + 0*u**m = 0. Calculate u.
-1, 0, 1
Let s be 2/(-3)*(-27)/18. Let k(p) = -4*p + 4. Let l be k(s). Factor l + 2/7*r**4 + 0*r + 0*r**2 - 2/7*r**3.
2*r**3*(r - 1)/7
Factor 80 - 71*i**2 - 1010*i**3 + 478*i**3 + 40*i - 5*i**4 + 492*i**3 - 4*i**2.
-5*(i - 1)*(i + 1)*(i + 4)**2
Let b be (-143)/(-70) + 0 - 1. Let c = -9/14 + b. Find v such that 0*v**2 - 1/5*v**4 + 1/5 + c*v - 2/5*v**3 = 0.
-1, 1
Let i = -46 + 91. Let t be (-24 + 2)/(-1 + 0). Find y, given that -7*y**4 - 5*y**2 + i*y**5 - 25*y**3 + 7*y**2 + t*y**4 + 3*y**2 = 0.
-1, 0, 1/3
Let j(f) = -f**2 + 8*f - 27. Suppose -4*o + 4*y = 16, -o + 0*o - 5*y = -8. Let h(d) = d + 1. Let n(a) = o*j(a) - 4*h(a). Find w such that n(w) = 0.
5
Let y(c) = c**3 + 5*c**2 + 4*c + 5. Let p be y(-4). Find z, given that 5*z**3 + 12*z - p*z**5 - 10*z**2 + 10*z**4 - 12*z = 0.
-1, 0, 1, 2
Find m, given that -16/7*m - 4/7*m**2 + 0 = 0.
-4, 0
Let m(x) = -x**2 - 13*x - 1. Let d be m(-13). Let n be 100/35 - d/7. Let -5*r**3 + 18*r**2 - 4*r + r - 9*r**n - r = 0. Calculate r.
0, 2/7, 1
Let u(i) be the third derivative of -i**8/224 - i**7/14 - 5*i**6/16 + 2*i**2 - 117. Factor u(w).
-3*w**3*(w + 5)**2/2
Let m(c) be the first derivative of -17*c**3/5 + 24*c**2/5 + 3*c/5 + 248. Factor m(f).
-3*(f - 1)*(17*f + 1)/5
Let l(g) = -g**3 - 8*g**2 + 2*g + 14. Let r be l(-8). Let d be (-6)/9*-6 + r. Solve 3 + h**2 - 2*h**2 - d*h**2 = 0.
-1, 1
Let m(c) be the third derivative of -c**8/1008 + c**7/126 - c**6/120 - c**5/36 + c**4/18 + 21*c**2. Find y, given that m(y) = 0.
-1, 0, 1, 4
Let q(w) be the second derivative of 5/102*w**4 + 0 + 3/17*w**2 + 8/51*w**3 + 52*w. Solve q(c) = 0 for c.
-1, -3/5
Let x = 1079 + -4489/4. Let d = x + 44. Factor 1/2 - d*r + 1/4*r**2.
(r - 2)*(r - 1)/4
Let j(p) be the second derivative of -p**4/6 + 8*p**3/3 + 20*p**2 + 48*p - 2. Find b such that j(b) = 0.
-2, 10
Let q be 20/6 - (-6)/9. Let l be (18/5)/(q/30). Factor -43*a**3 + 6*a + 9*a**4 + 73*a**3 + l*a**2 - 3 + 3.
3*a*(a + 1)*(a + 2)*(3*a + 1)
Suppose -5 = -4*o + 5*o - 2*k, 5*o - 3*k - 10 = 0. Solve 2*c + o*c**2 + 5*c**4 + c**4 - 5*c**4 + 4*c**3 = 0 for c.
-2, -1, 0
Let h(s) be the third derivative of 1/672*s**8 + 0*s**4 + 0*s**3 + 1/80*s**6 - s**2 + 1/140*s**7 + 20*s + 1/120*s**5 + 0. Suppose h(i) = 0. Calculate i.
-1, 0
Let h(p) be the third derivative of -2/3*p**3 - 1/21*p**7 - 1/42*p**8 + 0 - 24*p**2 + 11/60*p**6 + 0*p - 7/12*p**4 + 7/30*p**5. What is t in h(t) = 0?
-2, -1, -1/4, 1
Let h(v) be the first derivative of 1/20*v**4 + 2/15*v**3 + 0*v**2 + 0*v + 11. Suppose h(a) = 0. Calculate a.
-2, 0
Suppose -2*z = -5 + 3. Let w(k) = 3*k**2 - 1. Let d be w(z). What is o in d - 5*o**4 - 8*o**3 + o**4 + 17*o + 2 - 9*o = 0?
-1, 1
Let p(o) be the second derivative of o**4/21 + 36*o**3/7 + 1458*o**2/7 + o - 3. Factor p(m).
4*(m + 27)**2/7
Suppose -u + 1 = 5*q, -2*q - u - 2 = -0. Let b be (-51)/(-15) + ((-4)/10)/q. Find z such that -4/7*z**2 + 2/7*z + 2/7*z**4 + 2/7 - 4/7*z**b + 2/7*z**5 = 0.
-1, 1
Determine s, given that 363/7*s**4 - 72/7 - 2034/7*s**2 - 495/7*s**3 + 780/7*s = 0.
-2, 2/11, 3
Let v(k) = 4*k**2 - 3*k + 1. Suppose 2 = 4*g - p, -3*g + 2*p - 1 + 0 = 0. Let f be v(g). Factor -4*l**2 - 4*l**2 + 9*l**2 + l**2 - f*l.
2*l*(l - 1)
Let c be (-476)/(-255) + (-70)/(-525). Factor -4/5 - 6/5*k**3 + 2/5*k**c + 6/5*k + 2/5*k**4.
2*(k - 2)*(k - 1)**2*(k + 1)/5
Let d = 5977 - 5975. What is m in -16/17 + 2/17*m**d - 14/17*m = 0?
-1, 8
Let l be (-6)/8 + -4*2/(-8). Let z(x) be the first derivative of 1/4*x**3 + l*x - 5 - 1/16*x**4 - 3/8*x**2. Factor z(k).
-(k - 1)**3/4
Suppose -4*w + j = -11, -5*j + 0*j = 3*w - 14. Let q(b) = -2*b - 12. Let t be q(-7). Factor -i + 3*i**w - 178*i**2 + i + 175*i**t.
3*i**2*(i - 1)
Let h = 19/10 + -7/5. Let s be (3 + -2)*4/2. Factor 0 - 1/2*w + h*w**s.
w*(w - 1)/2
Factor -116 + 150*t + 24*t**2 - 123*t**2 + 4*t**3 + 86*t - 25*t**2.
4*(t - 29)*(t - 1)**2
Let d(n) be the third derivative of -2*n**7/105 + 23*n**6/15 - 191*n**5/5 + 506*n**4/3 - 968*n**3/3 - n**2 + 182. Let d(v) = 0. What is v?
1, 22
Let m(i) be the first derivative of i**3/9 + 7*i**2/6 - 8*i/3 + 640. Determine u, given that m(u) = 0.
-8, 1
Let y be ((-10)/3)/(1/(-3)). Suppose 0 = -3*p + 2 + y. Determine i, given that -25 + 15 + 10 + p*i**3 - 4*i**2 = 0.
0, 1
Let k(w) = w**2 + 14*w - 117. Let l be k(-20). Let i = 29/6 - 9/2. Factor -q + 2/3 + 0*q**2 + i*q**l.
(q - 1)**2*(q + 2)/3
Let 16000 + 55200*d - 401*d**3 - 639*d**2 - 14*d**5 - 2755*d**2 + 360*d**4 - 126*d**2 - 2015*d**3 = 0. Calculate d.
-4, -2/7, 10
Let x be -2 - (-1 + 3/(-3)). Suppose x = 26*y - 24*y - 202. Suppose -15 + 72*u**3 + 48*u**4 - 21*u**2 + 29*u - 12 - y*u = 0. What is u?
-1, -3/4, 1
Let p(i) = 2*i**2 - 1. Let x(z) = z**4 - z**3 - 1. Let b = 0 - 2. Let g = -776 - -778. Let l(a) = b*x(a) + g*p(a). Factor l(m).
-2*m**2*(m - 2)*(m + 1)
Let b = 10 + -11. Let c be ((-4)/b)/(1/2). Factor c*p**2 - 4*p + 4*p**3 - 6 + 0*p**3 - 2*p**4 + p - p.
-2*(p - 3)*(p - 1)*(p + 1)**2
Let l be (189/28 - 7)*8/(-60). Let m(a) be the third derivative of 0*a - 5*a**2 + 0 + 0*a**4 + 1/30*a**5 + 1/105*a**7 + 0*a**3 - l*a**6. What is n in m(n) = 0?
0, 1
Let j = -14365 + 14367. Factor -1/8*w**3 + 0 - 1/2*w - 1/2*w**j.
-w*(w + 2)**2/8
Let r(w) be the first derivative of w**4/22 - 2*w**3/33 - 4*w**2/11 + 8*w/11 + 240. Suppose r(l) = 0. Calculate l.
-2, 1, 2
Let p(i) be the first derivative of -i**6/60 + i**5/10 - i**4/4 + i**3/3 + 9*i**2/2 + 9. Let u(n) be the second derivative of p(n). Factor u(k).
-2*(k - 1)**3
Let t = -1 + 6. Let l = t + -5. Factor l*y**2 + 0 + 2/3*y - 2/3*y**3.
-2*y*(y - 1)*(y + 1)/3
Let s(g) be the second derivative of -3*g**5/20 + 4*g**4 + 55*g**3/2 + 57*g**2 - 88*g. Let s(o) = 0. What is o?
-2, -1, 19
Let b = -190 + 193. Let i(x) be the third derivative of 1/20*x**4 - b*x**2 + 0*x + 2/15*x**3 + 0 + 1/150*x**5. Factor i(t).
2*(t + 1)*(t + 2)/5
Let y(v) = -3*v**3 + v**2 + 4*v. Let p(h) = 10*h**3 - 3*h**2 - 13*h. Suppose -4*u - 5 = -n - 2*u, -4*n - 3*u + 31 = 0. Let q(s) = n*y(s) + 2*p(s). Factor q(g).
-g*(g - 2)*(g + 1)
Let x = 1399 - 4195/3. Determine m so that -2/3*m + 2/3*m**2 - x + 2/3*m**3 = 0.
-1, 1
Let q(y) be the second derivative of -1/24*y**4 + 0*y**2 + 0 + 5*y + 0*y**3. Solve q(d) = 0 for d.
0
Let w(b) be the second derivative of b**5/90 - 13*b**4/54 + 16*b**3/9 - 4*b**2 + 77*b. Factor w(o).
2*(o - 6)**2*(o - 1)/9
Let g be -8 + 4 - -3 - (-146 + 2). Let j = g - 2429/17. Factor -16/17 + j*n**3 - 12/17*n**2 + 24/17*n.
2*(n - 2)**3/17
Let k(l) be the second derivative of l**6/75 + l**5/5 - 6*l**4/5 + 38*l**3/15 - 13*l**2/5 - 86*l. Factor k(d).
2*(d - 1)**3*(d + 13)/5
Factor 46/9*b**2 - 2*b**3 + 0 + 8/3*b.
-2*b*(b - 3)*(9*b + 4)/9
Let j = -16 - -28. Determine i, given that j*i**3 + 4 - 16*i**3 - 4*i**2 + 0*i**2 + 4*i = 0.
-1, 1
Suppose -g + 0*g + 3 = 0. Factor 5*z**3 - 2*z - 3*z**g - 96 + 94 + 2*z**2.
2*(z - 1)*(z + 1)**2
Let h(s) = -2*s**2 - 2*s + 1. Let o(w) = -5*w**2 - 44*w - 398. Let v(d) = -2*h(d) + o(d). Find f, given that v(f) = 0.
-20
Let m(a) be the third derivative of a**6/720 - a**5/40 + a**4/6 - 4*a**3/9 + 9*a**2 - 6*a. Factor m(l).
(l - 4)**2*(l - 1)/6
Let v(r) be the second derivative of r**6/30 - r**5/20 + 119*r. Factor v(k).
k**3*(k - 1)
Let m = -167 - -167. Let s(z) be the third derivative of 1/9*z**3 + 1/180*z**6 + m*z + z**2 + 1/12*z**4 + 1/30*z**5 + 0. Factor s(k).
2*(k + 1)**3/3
Let t(j) = -j**3 + 8*j**2 + 11*j - 9. Let f be t(9). Let g(c) be the first derivative of c**3 - 27*c + f*c**2 - 2*c**3 - 7 + 6. Find z, given that g(z) = 0.
3
Let i(w) = -102*w**4 - 288*w**3 + 1071*w**2 - 1113*w + 351. Let m(k) = 15*k**4 + 41*k**3 - 153*k**2 + 159*k - 50. Let t(a) = -4*i(a) - 27*m(a