**3 + j*n**2 + 4*n**2.
4*n*(n + 1)*(n + 2)*(4*n + 1)
Suppose -16/3 - 40/9*t + 2/9*t**4 + 4/9*t**2 + 10/9*t**3 = 0. Calculate t.
-3, -2, 2
Let v(p) = p**3 + 5*p**2 - 53*p - 30. Let j be v(-10). Let -2/7*i**3 + j + 4/7*i**2 - 2/7*i = 0. Calculate i.
0, 1
Let y be 16/40 + 236/10. Suppose -16 = 2*q - y. What is l in -6*l - 59*l**3 + 47*l**3 - 2*l**q - l**4 - 15*l**2 = 0?
-2, -1, 0
Let 0*k**3 + 1/3*k**4 + 0*k + 0*k**2 + 0 = 0. Calculate k.
0
Let a(k) be the first derivative of 2*k**3/3 + 346*k**2 + 59858*k - 765. Solve a(o) = 0 for o.
-173
Let q(r) = r**4 - r**3 + r**2. Let m be ((13/(-13))/((-1)/4))/(-2). Let o(j) = 16*j**4 - 44*j**3 - 2*j + 4. Let p(z) = m*o(z) + 44*q(z). What is v in p(v) = 0?
-2, -1, 1/3
Suppose -3*h + 36*a = 38*a - 14, 25 = 5*h + 5*a. Factor 0*l + 0*l**h - 2/7*l**5 + 0*l**2 + 0 + 2/7*l**3.
-2*l**3*(l - 1)*(l + 1)/7
Factor 20/9*v - 4/9*v**2 - 8/3.
-4*(v - 3)*(v - 2)/9
Factor -92/7*w**2 - 88/7*w + 4/7.
-4*(w + 1)*(23*w - 1)/7
Let d(b) = -12*b**3 + 12*b**2 + b - 12. Let w(f) = f**3 - f**2 + 1. Let n be 26/(-1) - (12 + -16). Let k(q) = n*w(q) - 2*d(q). Factor k(c).
2*(c - 1)**2*(c + 1)
Let f(v) be the second derivative of -v**6/24 + v**5/6 - 9*v**2/2 + 13*v. Let b(j) be the first derivative of f(j). Solve b(r) = 0 for r.
0, 2
Suppose -15*o**2 + 21 + 39/2*o = 0. Calculate o.
-7/10, 2
Let n = 152 + -152. Let l(h) be the second derivative of 1/3*h**4 + 0*h**2 + n*h**3 + 0 - 6*h. Factor l(v).
4*v**2
Suppose -2*n - 3*m + 6*m = -12, n - 3*m - 9 = 0. Suppose -2*y**4 - 4/3*y - 4/3*y**n + 14/3*y**2 + 0 = 0. Calculate y.
-2, 0, 1/3, 1
Suppose 1/3*w**2 + 4/3*w - 4 = 0. Calculate w.
-6, 2
Let s(p) be the second derivative of 5*p**4/36 - 34*p**3/9 - 14*p**2/3 - 168*p. Solve s(q) = 0 for q.
-2/5, 14
Let a(x) be the second derivative of x**5/4 + 75*x**4/4 + 360*x**3 - 4320*x**2 - 4*x + 74. Factor a(n).
5*(n - 3)*(n + 24)**2
Let u(n) be the first derivative of -n**4 + 280*n**3 - 29400*n**2 + 1372000*n + 397. Determine z, given that u(z) = 0.
70
Let u(m) be the first derivative of m**6/8 + 3*m**5/10 - 27*m**4/16 - m**3/2 + 3*m**2 - 113. Let u(o) = 0. Calculate o.
-4, -1, 0, 1, 2
Let d be 1081/(-94) + (14 - 2). Suppose -20 + 0 = 4*s, 4*y = -s + 7. Solve d*a**y - a**2 - 2*a + 4 = 0 for a.
-2, 2
Let l(m) be the third derivative of -29*m**7/14 - 39*m**6/40 - m**5/10 - 4*m**2 - 19*m. Factor l(k).
-3*k**2*(5*k + 1)*(29*k + 2)
Let g = 209 - 205. Determine b so that -201/2*b**2 + 355/2*b**3 - 279/2*b**g + 81/2*b**5 - 2 + 24*b = 0.
2/9, 1
Let l = 17267688/5185 - 56604/17. Let g = l + 8/61. Let 3/5*d + 3/5*d**5 - 2/5*d**4 - 6/5*d**3 - 2/5 + g*d**2 = 0. Calculate d.
-1, 2/3, 1
Suppose -9*c = -7 - 38. Let n(p) be the first derivative of 0*p + 49/6*p**6 - 2/3*p**2 + 1 - 31/4*p**4 + 4*p**3 + 14/15*p**c. Let n(o) = 0. What is o?
-1, 0, 2/7, 1/3
Let z(r) be the first derivative of -1/10*r**5 + 0*r + 0*r**4 + 1/2*r**3 - 1/2*r**2 - 16. Suppose z(y) = 0. What is y?
-2, 0, 1
Factor -160*q**2 + 5265*q + 1867 - 361 + 72*q**2 + 67*q**2.
-3*(q - 251)*(7*q + 2)
Let l = -141 + 143. Suppose -5*m + 4*v = 0, l*m + 0 = 2*v - 2. Solve -1/3*y**m + 1/3*y**2 + 2/3*y**3 - 2/3*y + 0 = 0 for y.
-1, 0, 1, 2
Suppose -5*b + 6 = -3*b. Suppose 19 = 4*h - 1. Factor -6 - h*m - 30*m**4 - b*m**3 + 33*m**4 - 9*m**2 + 20*m.
3*(m - 1)**3*(m + 2)
Let g(u) be the second derivative of -1/21*u**3 - 37/105*u**6 - 2/7*u**2 - 6*u + 37/70*u**5 + 0 + 13/14*u**4 - 12/49*u**7. Solve g(a) = 0.
-1, -1/4, 2/9, 1
Let j(l) = 17*l + 1096. Let b be j(-64). Let c be (-9)/(-2) - (-1)/(-2). Factor -c*k**5 + 27*k**3 + b*k**2 + 5*k**3 - 20*k**3.
-4*k**2*(k - 2)*(k + 1)**2
Let a(f) be the first derivative of 5*f**3/4 - 12*f**2 + 81*f/4 - 163. Factor a(y).
3*(y - 1)*(5*y - 27)/4
Factor -21/5*i + 18/5 + 3/5*i**2.
3*(i - 6)*(i - 1)/5
Let o(j) be the third derivative of 0 + 1/2*j**4 + 1/8*j**6 + 2/5*j**5 - 15*j**2 + 0*j**3 + 1/70*j**7 + 0*j. Factor o(p).
3*p*(p + 1)*(p + 2)**2
Solve 15/7*h + 3/7*h**5 - 18/7 + 24/7*h**2 - 18/7*h**3 - 6/7*h**4 = 0.
-2, -1, 1, 3
Let q be 9*2/(-12)*(-2 - 0). Let y(b) be the second derivative of -6*b + 0*b**2 - 1/21*b**4 + 0 + 2/21*b**q. Factor y(m).
-4*m*(m - 1)/7
Let j be (-1*1)/((-140)/(-32) + -5). Let f = 34/35 - 4/7. Find v, given that f*v**2 - j + 0*v = 0.
-2, 2
Let a be ((-1)/((-9)/6))/(2/6). Factor 4*r**3 - 158*r**a + 77*r**2 + 8 + 20*r + 97*r**2.
4*(r + 1)**2*(r + 2)
Let w(o) be the third derivative of o**6/180 + 7*o**5/45 + 5*o**4/3 + 8*o**3 - 29*o**2. Factor w(h).
2*(h + 2)*(h + 6)**2/3
Let t(m) be the first derivative of -m**3/3 + 11*m**2/2 - 21*m + 48. Let x be t(8). What is p in 3/7*p - 2/7 - 3/7*p**x + 1/7*p**4 + 1/7*p**2 = 0?
-1, 1, 2
Let j(m) = -m**3 - 8*m**2 - m - 2. Let t be j(-8). Suppose 4*g = r + 2*r + t, 0 = 2*r - 2*g + 2. Factor s + r*s**2 + 5 + 3 - 9*s.
2*(s - 2)**2
Let o(y) be the second derivative of -y**6/540 + y**5/54 - y**4/36 + 2*y**3/3 + 18*y. Let x(d) be the second derivative of o(d). Factor x(j).
-2*(j - 3)*(3*j - 1)/9
Let s(o) = -o**2 + o. Let y be (4 - 7) + 5 + 0. Let k(d) = -7*d**2 - 58*d - 180. Let b(t) = y*s(t) - k(t). What is a in b(a) = 0?
-6
Let d(c) be the second derivative of c**7/630 + c**6/180 + 5*c**4/6 + 13*c. Let u(i) be the third derivative of d(i). Factor u(y).
4*y*(y + 1)
Let j be ((-14)/35)/(2/(-10)) - 0. Factor -15*f**4 + 12*f - 21*f**3 + 8*f**2 - 16*f**j + 32*f**2.
-3*f*(f - 1)*(f + 2)*(5*f + 2)
Solve 8915*h**2 + 52 + 4*h - 4*h**3 - 17897*h**2 + 8930*h**2 = 0 for h.
-13, -1, 1
Suppose 7 = 157*v + 7. Determine r so that 0 + v*r**2 - 4/7*r**3 + 4/7*r = 0.
-1, 0, 1
Let g be (-4)/6 - (-552)/18. Suppose 2*c = -0*c - 3*z - 9, 0 = 5*c - 3*z - g. Find p such that -21*p**c + 38*p**2 - 2*p**2 - 3*p + p + 14*p = 0.
-2/7, 0, 2
Determine a so that 0 + 2/3*a**2 + 5/9*a + 1/9*a**3 = 0.
-5, -1, 0
Let i(v) = -17*v**3 - 304*v**2 - 2233*v - 1960. Let w(t) = -8*t**3 - 151*t**2 - 1117*t - 980. Let g(j) = -3*i(j) + 7*w(j). Factor g(q).
-5*(q + 1)*(q + 14)**2
Let p(f) = -f**2 + 23*f - 20. Let n(o) be the first derivative of -2*o**3/3 + 35*o**2 - 61*o + 12. Let m(z) = -2*n(z) + 7*p(z). Let m(s) = 0. Calculate s.
1, 6
Let b(q) be the second derivative of q**4/4 + 7*q**3 + 39*q**2/2 + 103*q + 2. Find r, given that b(r) = 0.
-13, -1
Let q(x) = x**2 + 5*x + 1. Let s be q(-6). Factor s*g - 2*g**3 - 22*g - 10*g**2 + 7*g**3.
5*g*(g - 3)*(g + 1)
Let l be (4/(-70)*-10)/(4/3). Let 3/7*m + 0 - l*m**3 + 0*m**2 = 0. What is m?
-1, 0, 1
Suppose 29*h**5 - 16*h**2 - 16*h**4 - 25*h**5 + 24*h**3 - 3*h + 7*h = 0. What is h?
0, 1
Let g = 15543/4 - 3852. Let a be (-2)/(9/((-1215)/40)). Let -225/4*f**2 - 125/4*f**3 - a - g*f = 0. What is f?
-3/5
Suppose 0 = -3*l + 13 - 4. Let p = 26/7 + -31/14. Factor 3/2*o**2 - p*o**4 - o + 1/2*o**l + 0 + 1/2*o**5.
o*(o - 2)*(o - 1)**2*(o + 1)/2
Let h(u) be the first derivative of 0*u - 2/5*u**5 - 8 + 0*u**4 + 1/6*u**6 + 2/3*u**3 - 1/2*u**2. Find s such that h(s) = 0.
-1, 0, 1
Suppose 12 = 5*j + 2. Determine x, given that x**2 + j*x**2 - 4 - 6*x**2 - 8*x = 0.
-2, -2/3
Let q(z) = -z**2 + 19*z - 16. Let i be q(18). Find w such that -7*w**4 + 2*w**4 + 8*w**4 + i*w**4 + 15*w**5 = 0.
-1/3, 0
Let u(f) = 5*f**2 - 5. Let c(h) = 4*h**2 - 4. Let t be 5/((-5)/(-3)) + 0. Let n(z) = t*c(z) - 2*u(z). Factor n(l).
2*(l - 1)*(l + 1)
Factor -5 + 1/6*u**2 - 13/6*u.
(u - 15)*(u + 2)/6
Let y = -118 - 135. Let f = y + 1269/5. Solve 0 + 2/5*q**2 + 0*q + 2/5*q**4 - f*q**3 = 0.
0, 1
What is w in 1/3*w**3 + 5/6*w**4 - 5/6*w**2 - 1/3*w + 0 = 0?
-1, -2/5, 0, 1
Let 8/9*p**3 + 0 + 10/9*p**2 + 2/9*p**4 + 4/9*p = 0. Calculate p.
-2, -1, 0
Factor 380614 - 5*w**4 - 380614 + 0*w**4.
-5*w**4
Let r(w) be the first derivative of -2*w**3/9 + 10*w**2/3 + 16*w - 199. Factor r(b).
-2*(b - 12)*(b + 2)/3
Let t(p) be the third derivative of p**4/8 + 17*p**3/6 - 8*p**2. Let u be t(-5). Factor -4*y**2 + 6*y**2 - 3*y + 3*y**3 - 2*y**u.
3*y*(y - 1)*(y + 1)
Let g(q) be the first derivative of 0*q**2 - 2*q**3 + 4 + 0*q - 6/5*q**5 + 9/10*q**6 + 2/3*q**4. Let p(l) be the third derivative of g(l). Factor p(w).
4*(9*w - 2)**2
Let a(x) be the first derivative of -12 + 0*x - 1/15*x**2 - 2/45*x**3. Solve a(m) = 0 for m.
-1, 0
Let p(g) = g**3 + 26*g**2 - 31*g - 36. Let h be p(-27). Let n = 72 - h. Factor -1/2*a**3 + 1/2*a + n + 0*a**2.
-a*(a - 1)*(a + 1)/2
Suppose -21 = -f - 2*h, -4*f + 93 = 4*h + 17. L