5*a**2 + y.
-3*a**2/5
Factor -583*k**3 + 6*k - 584*k**3 - 20*k**2 + 14*k + 1172*k**3.
5*k*(k - 2)**2
Let t = 1 + 1. Factor 52*b**2 - 2*b + 10 - 57*b**t - 3*b.
-5*(b - 1)*(b + 2)
Let d be 1 - 4 - (0 + 18/(-6)). Suppose d = 57*g - 56*g - 3. Factor 5*a**g - 5/2*a**4 + 1/2*a**5 + 5/2*a - 1/2 - 5*a**2.
(a - 1)**5/2
Let v = 494 - 486. Let c(z) be the second derivative of 0*z**2 + 0*z**4 + 0*z**3 + 1/10*z**6 + 0 + 3/10*z**5 + v*z. What is f in c(f) = 0?
-2, 0
Let v(b) = 25*b**2 + 25*b. Let g(p) = 5*p**2 + 5*p. Let j(o) = -11*g(o) + 2*v(o). Factor j(m).
-5*m*(m + 1)
Suppose -5*p + 44*m = 43*m - 24, 3*p - 20 = 2*m. Let 3/7*y**p - 3/7*y**2 - 6/7*y + 6/7*y**3 + 0 = 0. What is y?
-2, -1, 0, 1
Factor 142/9 + 16*r + 2/9*r**2.
2*(r + 1)*(r + 71)/9
Let t be 0 - (12/30)/((-16)/20). Let j(y) be the second derivative of 5*y - t*y**4 + 1/5*y**6 + 1/5*y**5 + 0*y**2 - 2/3*y**3 + 0. Factor j(o).
2*o*(o - 1)*(o + 1)*(3*o + 2)
Let j(o) = o**3 + o - 1. Let g(v) = 6*v**3 - v**2 - 5*v - 7. Let z(b) = -2*g(b) + 6*j(b). Solve z(k) = 0 for k.
-1, -2/3, 2
Let x = -1147/3 - -12695/33. Solve -106/11*k**2 - 86/11*k**3 + 12/11 - x*k - 18/11*k**4 = 0.
-3, -1, 2/9
Let d(z) be the first derivative of 2*z**6/9 + z**5 + 4*z**4/3 + z**3/3 - z**2/3 - 325. Suppose d(c) = 0. Calculate c.
-2, -1, 0, 1/4
Let g(b) be the third derivative of 0*b**3 + 0 - 1/60*b**6 - 2/15*b**5 - 1/3*b**4 + 12*b**2 + 0*b. Let g(j) = 0. What is j?
-2, 0
Let p(n) be the second derivative of -3*n**5/20 + 2*n**3 + 91*n + 1. Determine r, given that p(r) = 0.
-2, 0, 2
Let 260*p**2 - 524*p**2 + 4*p**3 + 2*p**4 + 258*p**2 = 0. Calculate p.
-3, 0, 1
Let b(w) be the first derivative of -w**4/54 - 2*w**3/27 - w**2/9 + 6*w - 8. Let i(t) be the first derivative of b(t). Find v, given that i(v) = 0.
-1
Suppose -i + 15 = -5*v, 2*i - i + 5 = 0. Let w(n) = -n**5 + n**3 - 9*n**2 + 9. Let t(y) = -2*y**2 + 2. Let h(r) = v*w(r) + 18*t(r). Let h(d) = 0. Calculate d.
-1, 0, 1
Let g(k) be the first derivative of -8*k**3/3 + 54*k**2/7 + 8*k/7 - 47. Factor g(s).
-4*(s - 2)*(14*s + 1)/7
Suppose 4*i + 35 = 27. Let x be 7/(84/(-9))*i/3. Determine k so that 2*k + 2 + x*k**2 = 0.
-2
Let r be 30/(-5)*(-3 - (-34)/8). Let t = r - -31/4. Factor 1/4*m**3 - 1/4*m**2 - t*m + 1/4.
(m - 1)**2*(m + 1)/4
Let c(x) be the first derivative of -46 + 196*x + 4/3*x**3 + 28*x**2. Factor c(k).
4*(k + 7)**2
Let m(q) be the third derivative of 3*q**2 + 1/12*q**4 - 3 - 1/120*q**5 + 0*q + 5/12*q**3. Factor m(j).
-(j - 5)*(j + 1)/2
Let s(m) = -299*m + 899. Let i be s(3). Solve -2/3*c + 0 + 1/3*c**i = 0 for c.
0, 2
Suppose 0 = -g + 4*d - 61, 2*g - 4*d + 2*d + 146 = 0. Let l = -75 - g. Let -1/4*q**l + 1/2*q - 1/4 = 0. Calculate q.
1
Factor -190*o**3 - 46216*o - 400*o**2 + 46216*o + 5*o**4.
5*o**2*(o - 40)*(o + 2)
Let d = -980 + 985. Let r(w) be the third derivative of 0*w**3 - 8/3*w**4 + 6*w**2 + 0*w - 1/30*w**6 + 8/15*w**d + 0. Factor r(u).
-4*u*(u - 4)**2
Let b = -4/7755 - -20684/7755. Factor b - 16/3*h**3 - 8/3*h**2 + 0*h**4 + 4*h + 4/3*h**5.
4*(h - 2)*(h - 1)*(h + 1)**3/3
Let j(d) be the second derivative of d**7/294 - 3*d**5/140 + d**4/42 - 10*d. Factor j(f).
f**2*(f - 1)**2*(f + 2)/7
Factor 8*o**2 - 12*o**2 - 4*o + 2 + 5*o**2 + 1.
(o - 3)*(o - 1)
Let p = -33841 + 33842. What is i in p + 9/7*i**2 + 1/7*i**3 + 15/7*i = 0?
-7, -1
Let r(b) be the first derivative of -b**4/2 - 144*b**3 - 15552*b**2 - 746496*b - 158. Determine k, given that r(k) = 0.
-72
Suppose 28 = 75*h - 76*h. Let t be -108*(-4 + (-96)/h). Factor 4/7*s**4 + 48/7*s**3 + 324/7 + t*s + 216/7*s**2.
4*(s + 3)**4/7
Let d(u) be the third derivative of u**5/30 + 25*u**4/4 - 76*u**3/3 - 44*u**2 + 2*u. Determine c so that d(c) = 0.
-76, 1
Suppose 0*r - 5 = -r - 3*s, 0 = 3*r - 2*s - 4. Factor 27 - r*h**2 - 27 + 6*h**2.
4*h**2
Find i, given that -610*i**2 + i**5 + 592*i**2 - 4*i**4 - 18*i**4 + 38*i**3 + i**5 = 0.
0, 1, 9
Suppose h = -h + 4*v + 20, 5*h - 2*v - 18 = 0. Let d be 4/14 - (-323)/119. What is p in 4*p**h + p**3 - 2*p - 3*p**3 + p**d - p**3 = 0?
0, 1
Suppose -3*t - 2*t = -2*z + 29, -4*t - 18 = z. Let k be (-14)/(-6) + 10/15. Suppose 0 - 1/3*x**k - 1/3*x**z + 0*x = 0. Calculate x.
-1, 0
Let o be 2/(((-5)/1270)/((-1)/(-4))). Let f = -125 - o. Determine u so that 0*u + 0 + 1/9*u**3 - 1/9*u**f = 0.
0, 1
Let c(h) = 4 + 17*h - h**2 - 5 - 18*h. Let d(s) = -s**5 + s**4 + s**3 - 3*s**2 - 2*s - 2. Let v(n) = -10*c(n) + 5*d(n). Suppose v(i) = 0. What is i?
-1, 0, 1
Let h(b) be the third derivative of -b**7/70 + 3*b**6/4 - 48*b**5/5 - 64*b**4 + 364*b**2. Find q such that h(q) = 0.
-2, 0, 16
Let l(g) be the first derivative of -4*g**5/5 + 5*g**4/2 - 2*g**3/3 - 2*g**2 + 91. Factor l(y).
-2*y*(y - 2)*(y - 1)*(2*y + 1)
Let g = 80 + -67. Suppose 3*s + g = -q, -5*q = 4*s + 9 + 1. Solve 2/3*l + 4/9 + 2/3*l**3 - 16/9*l**q = 0.
-1/3, 1, 2
Let t be 124/(-620)*2/(-3). Let s(c) be the third derivative of 9*c**2 + 0*c - t*c**4 + 1/150*c**5 + 0 + 16/15*c**3. Find g such that s(g) = 0.
4
Let a(k) be the first derivative of -2/15*k**3 - 3 - 8/5*k - 4/5*k**2. Factor a(x).
-2*(x + 2)**2/5
Let n(z) be the second derivative of z**7/1470 + z**6/840 - z**5/420 - z**4/168 - 6*z**2 + 20*z. Let s(j) be the first derivative of n(j). Factor s(v).
v*(v - 1)*(v + 1)**2/7
Let f(b) = -3*b - 1. Let d be f(-1). Suppose -32 = -29*m - 16 - 16. Solve 21/5*x**3 - 12/5*x + 36/5*x**d + m = 0.
-2, 0, 2/7
Suppose -71 - 118 = -9*z. What is y in 6*y**3 + 27 - 12 - 3*y**4 + 3*y - 12*y**2 + 12*y**3 - z*y = 0?
-1, 1, 5
Let j(i) be the first derivative of -2/45*i**5 - 2/9*i**4 + 0*i - 10/27*i**3 - 2/9*i**2 - 6. Let j(c) = 0. What is c?
-2, -1, 0
Suppose 0 = -4*r + 3*y + 176, 0 = -r - r - 5*y + 88. Determine k, given that 3*k**4 + 89*k**3 - r*k**3 - 39*k**3 - k**4 = 0.
-3, 0
Let y = 21702/27115 + -2/5423. What is l in y*l + 4/5 + 1/5*l**2 = 0?
-2
Let f = -51 + 53. Factor 10*h**f - 5*h**2 - 4 + h + 3*h - 6*h**2.
-(h - 2)**2
Factor b**2 - 6 - 12*b - 7*b**2 + 9*b**2 - 3 - 6*b**2.
-3*(b + 1)*(b + 3)
Let b(s) be the second derivative of 49*s**4/18 - 4*s**2/3 + 4*s - 5. Determine k so that b(k) = 0.
-2/7, 2/7
Let m(x) be the second derivative of 0*x**2 + 0 - 1/6*x**6 - 6*x + 0*x**4 + 1/4*x**5 + 0*x**3. Factor m(c).
-5*c**3*(c - 1)
Let z(h) be the first derivative of -h**6/18 + 5*h**4/6 - 20*h**3/9 + 5*h**2/2 - 4*h/3 + 92. Suppose z(f) = 0. What is f?
-4, 1
Factor 0*c - 32/9*c**3 - 8/9*c**2 - 14/3*c**4 - 2*c**5 + 0.
-2*c**2*(c + 1)*(3*c + 2)**2/9
Let u = 35 + -45. Let z = u + 10. Solve z*s + 1/3 - 1/3*s**2 = 0.
-1, 1
Let o(f) = -13*f**2 - 32*f + 28. Let i(d) = -11*d**2 - 33*d + 29. Let x(r) = -4*i(r) + 3*o(r). Find j such that x(j) = 0.
-8, 4/5
Let g = -19985 + 260005/13. Factor -1036/13*b**3 - 3018/13*b**2 - 98/13*b**4 - g - 1480/13*b.
-2*(b + 5)**2*(7*b + 2)**2/13
Let o(r) be the second derivative of r**6/120 - 3*r**5/16 - 17*r**4/48 + 5*r**3/8 + 2*r**2 + 787*r. Let o(l) = 0. What is l?
-1, 1, 16
Let v = -10756 + 10761. Solve 0 + 0*x + 0*x**2 - x**4 - 1/2*x**3 - 1/2*x**v = 0.
-1, 0
Let t be ((-3)/2)/(8/(640/12)). Let r be 1/t*(-2 - 6). Let 2/5 - r*v + 2/5*v**2 = 0. What is v?
1
Let w(s) = 3*s**4 - 22*s**3 - 20*s**2 + 8*s + 24. Let i(y) = 4*y**4 - 21*y**3 - 20*y**2 + 9*y + 22. Let u(b) = 7*i(b) - 6*w(b). Solve u(k) = 0.
-1, -1/2, 1, 2
Factor -7/5*h**3 - 8/5*h**2 + 16/5*h - 1/5*h**4 + 0.
-h*(h - 1)*(h + 4)**2/5
Let c = -2364 + 7093/3. Factor 2/3 - c*a**3 + 1/3*a - 2/3*a**2.
-(a - 1)*(a + 1)*(a + 2)/3
Suppose -13 + 14 - 27*n - 8*n**2 - 9*n**2 - n**2 - 3*n**3 - 13 = 0. What is n?
-4, -1
Let l(j) be the third derivative of -1/15*j**6 + 0*j**7 + 1/4*j**4 + 8*j**2 - 2/3*j**3 + 0*j + 1/15*j**5 + 0 + 1/168*j**8. Factor l(w).
2*(w - 1)**3*(w + 1)*(w + 2)
Let h(a) = a**2 + 58*a + 120. Let r(c) = -c**2 - 118*c - 240. Let f(d) = -7*h(d) - 3*r(d). Find g such that f(g) = 0.
-10, -3
Let f(h) be the first derivative of 21*h + 11*h**3 + 45/2*h**2 - 12. Let o(w) = 8*w**2 + 11*w + 5. Let k(n) = 5*f(n) - 21*o(n). Factor k(c).
-3*c*(c + 2)
Let v(d) = 3*d + 0*d - 5*d**2 + 2*d. Let w(k) = -k**2 + k. Let x = -45 - -46. Let a(p) = x*v(p) - 3*w(p). Let a(j) = 0. Calculate j.
0, 1
Let q(k) be the first derivative of -k**5/80 + 7*k**4/48 - 2*k**3/3 + 3*k**2/2 + 11*k - 21. Let o(p) be the first derivative of q(p). Factor o(r).
-(r - 3)*(r - 2)**2/4
Suppose 0 - 5/2*l**2 + 0*l - 1/2*l**3 