+ 0 + o*x**2 + 0*x.
-3*x**3/2
Suppose f - 50*g = -45*g + 41, -4*g - 27 = 5*f. Let -1/2*t**2 - f - 3/2*t = 0. What is t?
-2, -1
Let w(c) be the second derivative of -c**7/42 + 7*c**6/10 - 27*c**5/10 - c**4/3 + 12*c**3 - 343*c - 1. Determine f so that w(f) = 0.
-1, 0, 2, 18
Let b be (-23)/((-230)/(-120)) - (4 + -16). Factor 0*c**3 + 2/7*c + b - 3/7*c**2 + 1/7*c**4.
c*(c - 1)**2*(c + 2)/7
Suppose 4*p + 51 = 7*p. Suppose -3*m - p*m - 6 + 4*m**2 + 4*m**3 + 18 = 0. Calculate m.
-3, 1
Let u(m) be the first derivative of 1 + 1/120*m**5 + 1/24*m**4 - 5*m + 0*m**3 - 1/3*m**2. Let k(i) be the first derivative of u(i). Factor k(g).
(g - 1)*(g + 2)**2/6
Let o be (6 + -3 + -2)/((-5)/30). Let q be (0 - (3 + o)) + -1. Factor 2/19*z**q + 0*z - 8/19.
2*(z - 2)*(z + 2)/19
Let n = -177/2 - -897/10. Let c(u) be the first derivative of -4/5*u**3 - 3/2*u**2 - n*u - 3/20*u**4 + 2. Factor c(i).
-3*(i + 1)**2*(i + 2)/5
Let k be (12/(-15))/(-4) - 10224/20. Let h = k - -5675/11. Determine s so that -h - 18/11*s**2 + 2/11*s**3 + 54/11*s = 0.
3
Let i = 29/7 - 131/35. Factor 32/5 + i*v**2 + 16/5*v.
2*(v + 4)**2/5
Let p(z) = -z**3 - z**2 - 1. Let n(r) = 5*r**3 + 3*r**2 - 3*r + 5. Suppose 1 + 0 = -s. Let f(k) = s*n(k) - 6*p(k). Solve f(b) = 0.
-1
Let i(s) be the third derivative of 0*s**4 + 0 + s + 0*s**3 + 16/15*s**5 - 9/112*s**8 - 6/5*s**6 - 15*s**2 + 18/35*s**7. Factor i(o).
-o**2*(3*o - 4)**3
Let l(x) be the first derivative of -x**7/525 - x**6/75 - x**5/50 + x**4/15 + 4*x**3/15 - x**2 + 3. Let z(y) be the second derivative of l(y). Solve z(i) = 0.
-2, -1, 1
Find j such that -306735*j - 5082106 - 5179397 - 5*j**3 - 885513 - 2244607 - 2145*j**2 - 1229412 = 0.
-143
Let b be 224/372 + (-6)/(-93). Solve -20/3*u**3 - 10/3*u - 10/3*u**4 - b - 20/3*u**2 - 2/3*u**5 = 0 for u.
-1
Suppose 3*b - 1 = -7. Let r be (2/14)/(b - 10/(-4)). Factor 0 - r*l**2 - 4/7*l.
-2*l*(l + 2)/7
Let l(n) = -n - 2. Let a be l(-7). Let p be (-3)/((-6)/10) - 1. Factor 0 + 0*i + 2/5*i**3 + 2/5*i**2 - 2/5*i**a - 2/5*i**p.
-2*i**2*(i - 1)*(i + 1)**2/5
Factor -6*q**3 + 51*q**5 - 3*q**2 - 103*q**5 - q**2 + 6*q**4 - q**4 + 8*q + 51*q**5.
-q*(q - 2)**3*(q + 1)
Factor -6*x**2 - 32*x**2 + 15*x**3 - 20*x**2 + 49*x - x**4 - 5*x**2.
-x*(x - 7)**2*(x - 1)
Let l(n) be the first derivative of 3*n**5/25 - 17*n**3/5 + 54*n**2/5 - 12*n + 136. Factor l(m).
3*(m - 2)**2*(m - 1)*(m + 5)/5
Let l(x) be the first derivative of x**6/21 + 6*x**5/5 + 37*x**4/7 + 212*x**3/21 + 69*x**2/7 + 34*x/7 - 67. Factor l(t).
2*(t + 1)**4*(t + 17)/7
Let x(w) = w**3 - w**2 - w + 1. Let g = 53 - 55. Let b(t) = -4*t + 6 - 2*t**2 + 6*t**3 - 4*t**2 - 2*t. Let r(n) = g*b(n) + 11*x(n). Factor r(m).
-(m - 1)**2*(m + 1)
Suppose 10*u = -0*u. Let s be 8*(-2)/(-20) - u. Find r, given that -1/5*r**4 - 3/5*r**2 - 4/5*r + 4/5*r**3 + s = 0.
-1, 1, 2
Let t be (-2 + 8)*16/12. Let p = 0 - -2. Factor -t*m**3 - 4*m**3 - 2*m + 5*m**3 + 9*m**p.
-m*(m - 1)*(7*m - 2)
Suppose 2*t = 10 - 2. Suppose 3*l - t*l = -2. Suppose -8*m**l - 3*m + 5*m**2 + 0*m**2 = 0. What is m?
-1, 0
Let b(v) be the second derivative of v**6/55 - 3*v**5/5 + 72*v**4/11 - 128*v**3/11 - 3072*v**2/11 + 19*v. Factor b(o).
6*(o - 8)**3*(o + 2)/11
Let y(u) = 5*u**2 + u. Let v(i) = -16*i**2 - 40*i - 144. Let j(n) = -v(n) - 4*y(n). Find g, given that j(g) = 0.
-3, 12
Let u(m) be the third derivative of -m**5/80 - 13*m**4/8 - 51*m**3/8 - 426*m**2. Factor u(t).
-3*(t + 1)*(t + 51)/4
Suppose -d - 4*d + 15 = 0. Suppose d*t - 12 = -2*f, -3*t + t - 5*f = 3. Determine g, given that 5*g**3 + 0*g**5 + 0*g**3 - g**2 + g**5 - t*g**3 + g**4 = 0.
-1, 0, 1
Factor 0*i**4 + 3*i**3 + 0*i**4 + i**4 - 2*i**4 + 4*i**4.
3*i**3*(i + 1)
Let g be 12/14*(-7)/(-2). Let s(p) be the first derivative of 9*p - 3*p**g - 10*p - 3*p**2 + 4 + 1. Factor s(t).
-(3*t + 1)**2
Let v(s) be the first derivative of 289*s**6/6 - 782*s**5/5 + 111*s**4 - 24*s**3 - 532. Factor v(n).
n**2*(n - 2)*(17*n - 6)**2
Suppose 22*u - 29*u = 57*u. Factor 24/7*f + u - 100/7*f**2 - 36/7*f**3.
-4*f*(f + 3)*(9*f - 2)/7
Suppose -5*k + 3*j + 24 = 0, 5*k - 4*k - 8 = j. Factor 0*b + 2/5*b**2 + k.
2*b**2/5
Let t(i) = 14*i**4 + 32*i**3 - 24*i**2 - 88*i + 8. Let p(m) = -5*m**4 - 11*m**3 + 8*m**2 + 29*m - 3. Let g(c) = 8*p(c) + 3*t(c). Factor g(d).
2*d*(d - 2)*(d + 2)*(d + 4)
Factor 132/5*q - 24/5*q**3 + 2/5*q**4 + 2*q**2 + 0.
2*q*(q - 11)*(q - 3)*(q + 2)/5
Let r(x) be the first derivative of x**6/9 - 2*x**5/3 - 13*x**4/6 - 14*x**3/9 - 91. Suppose r(n) = 0. What is n?
-1, 0, 7
Suppose -33/2*l**2 + 3/2*l**3 - 75/2 + 105/2*l = 0. What is l?
1, 5
Let r(c) = c. Let h be r(3). Suppose -5 = -4*z + h. Suppose -3*y**2 + 5*y**3 - 2*y**z - 2*y**3 + 2*y**2 = 0. What is y?
0, 1
Let r(t) be the second derivative of t**5/180 - t**4/18 + 2*t**3/9 - t**2 + 14*t. Let o(p) be the first derivative of r(p). Suppose o(x) = 0. What is x?
2
Let o(y) = y**3 - 11*y**2 + y - 7. Let z be o(11). Suppose s + 14 = 3*w, -w + 14 = -z*s + 2. What is h in -4*h**3 + 0*h**2 - 3 + w*h + 2 + h**2 = 0?
-1, 1/4, 1
Solve 0*c + 4/3*c**3 + 0 - 2/9*c**4 + 0*c**2 = 0 for c.
0, 6
Let z(g) be the third derivative of -g**5/15 + 13*g**4/6 - 20*g**3 - 30*g**2 - 8. Find f, given that z(f) = 0.
3, 10
Let q(u) be the third derivative of -u**7/28 + 7*u**6/72 - u**5/12 - 5*u**3/3 + 12*u**2. Let h(k) be the first derivative of q(k). Factor h(v).
-5*v*(2*v - 1)*(3*v - 2)
Let d(f) be the third derivative of -9*f**8/280 + f**7/175 + 31*f**6/300 - f**5/50 - f**4/15 + 169*f**2. Determine q so that d(q) = 0.
-1, -1/3, 0, 4/9, 1
Let j(y) = -y**3 + 7*y**2 - 5*y - 8. Let c be j(2). Factor 3/2*p**c + 3*p - 6 - 3/4*p**3.
-3*(p - 2)**2*(p + 2)/4
Let k(l) be the first derivative of -6*l**5/5 - 459*l**4/4 - 225*l**3 + 3*l**2/2 + 225*l + 477. Solve k(i) = 0.
-75, -1, 1/2
Let t(f) be the first derivative of f**5 - 135*f**4/2 + 1300*f**3 - 3380*f**2 + 329. Determine m so that t(m) = 0.
0, 2, 26
Let k(p) = 2*p**4 + 16*p**3 + 58*p**2 - 24*p - 44. Let i(y) = -5*y**4 - 49*y**3 - 172*y**2 + 71*y + 133. Let l(c) = 4*i(c) + 11*k(c). Solve l(g) = 0.
-2, -1, 1, 12
Let g(r) = 9*r**4 - 6*r**3 - r**2 + 6*r + 4. Let o(t) = 9*t**4 - 6*t**3 + 7*t + 5. Let q(f) = -5*g(f) + 4*o(f). Solve q(k) = 0 for k.
-2/3, 0, 1/3, 1
Let p(t) be the first derivative of -2/3*t - 1/30*t**5 + t**2 - 13/18*t**3 - 35 + 1/4*t**4. Factor p(c).
-(c - 2)**2*(c - 1)**2/6
Let o be 4*1 + (-800)/(-275). Let j = o - 141/22. Determine f, given that 0 + 1/2*f + j*f**2 = 0.
-1, 0
Suppose 3*z = 2*k - 10, 3*k = -2*k + z + 12. Solve 15 + 7*y + 6*y**2 - y**k + 13*y + 0*y**2 = 0.
-3, -1
Let i(b) be the third derivative of -b**8/84 - 2*b**7/15 - 3*b**6/5 - 22*b**5/15 - 13*b**4/6 - 2*b**3 + 503*b**2. Factor i(y).
-4*(y + 1)**4*(y + 3)
Factor 189/8*a**2 + 2883/8 - 3/8*a**3 - 3069/8*a.
-3*(a - 31)**2*(a - 1)/8
Let o = 1173 + -1167. Let l(t) be the first derivative of -1/26*t**4 - o + 0*t**2 - 2/13*t**3 + 0*t. Factor l(u).
-2*u**2*(u + 3)/13
Let k(y) = -1112*y + 2227. Let r be k(2). Suppose 1/7*w**4 - 1/7*w**2 + 1/7*w + 0 - 1/7*w**r = 0. Calculate w.
-1, 0, 1
Let n(u) be the second derivative of -u**4/8 + 5*u**3/4 + 75*u**2/2 - 129*u. Determine f, given that n(f) = 0.
-5, 10
Let j be (-4)/10*((-583)/(-84) - 7). Let t(x) be the second derivative of 0 - 1/7*x**2 + j*x**4 + 0*x**3 - x. Factor t(l).
2*(l - 1)*(l + 1)/7
Let s(q) = q**3 - 9*q**2 + 6*q - 160. Let j be s(10). Factor j - 10/3*w**2 - 2/3*w**3 - 8/3*w.
-2*w*(w + 1)*(w + 4)/3
Suppose 6*y - 110 = 34. Suppose 4*r + 4*g = y, 0 = -2*r - 2*g + g + 8. Factor 1/3*f**r + 0*f - 4/3.
(f - 2)*(f + 2)/3
Let q = 14570 + -14568. What is i in 8/13*i**q + 2/13*i**3 - 2/13*i - 8/13 = 0?
-4, -1, 1
Let o = -14 - -22. Let f be 1305/220*1 - (-2)/o. Let 98/11*n**3 - 40/11*n + 50/11*n**5 + 16/11 + 160/11*n**4 - f*n**2 = 0. What is n?
-2, -1, 2/5
Let f be 8/32 + 14/8. Factor -4*y**f + 45 - 2*y**3 + 5*y - 41*y**2 + 2*y**3 - 5*y**3.
-5*(y - 1)*(y + 1)*(y + 9)
Determine o, given that -8*o**2 + 0 + 44/5*o - 4/5*o**3 = 0.
-11, 0, 1
Let d(n) be the third derivative of n**6/280 + 3*n**5/14 - n**4/56 - 15*n**3/7 - 130*n**2 + 2*n. Suppose d(s) = 0. Calculate s.
-30, -1, 1
Let s(n) = 4*n**3 - 49*n**2 + 13*n - 10. Let g be s(12). Let 1/2*p - 7/2*p**4 + 1 - 15/2*p**g + 19/2*p**3 = 0. Calculate p.
-2/7, 1
Let u(g) be the first derivative of g**7/840 - g**5/120 - 5*g**3/3 - 12. Le