*(b + 1)/15
Let a = 67 + -40. Let s(t) = -2*t**2 + 54*t + 2. Let z be s(a). Let 0 - 15*u**z - 3*u - 75/4*u**3 = 0. Calculate u.
-2/5, 0
Factor 17/5*m**2 - 1/5*m**4 + 0*m**3 + 4 + 36/5*m.
-(m - 5)*(m + 1)*(m + 2)**2/5
Factor -2/9*w**3 - 4/9*w**2 + 0*w + 2/9*w**4 + 0.
2*w**2*(w - 2)*(w + 1)/9
Let w(i) = i**3 - 2*i**2 - 22*i - 9. Let l be w(7). Let n = 247/3 - l. Factor 0 + n*z**2 - 1/3*z.
z*(z - 1)/3
Let g be (45/(-6))/((-59)/(-20) + -3). Suppose -690*j + 17*j**2 + 1213 + 73*j**2 + g*j - 133 - 5*j**3 = 0. What is j?
6
Let k = 5 + 245. Let o = 232 + -165. Factor 3*r**3 - 217*r - 5*r**3 + o*r - k - 30*r**2.
-2*(r + 5)**3
Let r(i) = -i**2 - 19*i + 3. Let y(j) = 4*j**2 + 74*j - 13. Let z(n) = -26*r(n) - 6*y(n). Factor z(b).
2*b*(b + 25)
Let f = -9137/10 - -4061/5. Let b = 102 + f. Factor -1/2*r + b*r**2 - 1.
(r - 2)*(r + 1)/2
Solve 53*v + 156 - 22*v**2 + 24 + 7*v + 27*v**2 = 0.
-6
Let r(w) be the third derivative of 0*w + 6*w**2 + 0*w**3 - 1/540*w**5 - 5/216*w**4 + 0. Factor r(o).
-o*(o + 5)/9
Let p(m) = -1160*m**3 - 636*m**2 + 552*m + 52. Let v(j) = 464*j**3 + 254*j**2 - 221*j - 21. Let n(b) = 5*p(b) + 12*v(b). Solve n(o) = 0 for o.
-1, -2/29, 1/2
Let k(m) = -2*m**2 + 6*m + 9. Let a be (-5)/(-15) - 13/3. Let i = 5 + a. Let q(y) = -y**2. Let g(r) = i*k(r) - 3*q(r). Factor g(w).
(w + 3)**2
Suppose 0 = -f - 4*f + 30. Suppose p = -2*p + f. Factor 2*j**2 + 2*j**3 - 3*j**3 + 4*j**3 - 5*j**p.
3*j**2*(j - 1)
Factor 11*s**2 - 6*s**3 + 49/2 + 1/2*s**4 + 42*s.
(s - 7)**2*(s + 1)**2/2
Let y be (4/6)/(3/774*-4). Let f = 45 + y. Factor 4/5*z - 2/5 - 2/5*z**f.
-2*(z - 1)**2/5
Factor 9 - 5*y**4 + 31 - 92*y**3 + 28*y**3 + 10*y**2 + 49*y**3 + 60*y.
-5*(y - 2)*(y + 1)*(y + 2)**2
Let c(j) = -7*j**4 + 15*j**3 - 39*j**2 + 13*j + 12. Let l(a) = -19*a**4 + 45*a**3 - 118*a**2 + 41*a + 34. Let v(t) = 17*c(t) - 6*l(t). Factor v(f).
-5*f*(f - 1)**2*(f + 5)
Suppose 17*o = 30*o. Let q(w) be the first derivative of o*w + 1/2*w**2 + 5/3*w**3 - 6 + w**4. Find u, given that q(u) = 0.
-1, -1/4, 0
Factor 62 - 733*c**2 + 738*c**2 + 28 + 55*c.
5*(c + 2)*(c + 9)
Let c(j) be the third derivative of -j**5/120 + 5*j**4/24 - 25*j**3/12 - 5*j**2 + 10*j. Solve c(z) = 0 for z.
5
Let t(d) = d**3 + 4*d**2 - 6*d - 5. Let l be t(-5). Suppose l = 2*o + 2*o - 8. Let 2*n - 20*n**3 - 2*n**2 + o - 27*n**3 + 45*n**3 = 0. Calculate n.
-1, 1
Let h(u) be the first derivative of 6*u + u**2 - 10/9*u**3 + 1/6*u**4 + 7. Factor h(o).
2*(o - 3)**2*(o + 1)/3
Let i(n) be the first derivative of 39 + 10*n**2 - 5/3*n**3 - 20*n. Find s such that i(s) = 0.
2
Let m(d) be the first derivative of d**8/420 + 2*d**7/245 + d**6/210 - d**5/105 + 2*d**3 - 4. Let c(r) be the third derivative of m(r). Factor c(q).
4*q*(q + 1)**2*(7*q - 2)/7
Factor -1625*q**2 + 3*q**3 - 504*q - 588 + 1706*q**2 - 6*q**3.
-3*(q - 14)**2*(q + 1)
Find w such that 48/7*w**2 - 3/7*w + 33/7*w**3 - 18/7 = 0.
-1, 6/11
Solve -2/9*u**5 - 4*u**3 + 2/3 - 26/9*u + 44/9*u**2 + 14/9*u**4 = 0 for u.
1, 3
Suppose 0 = 3*z + 3, -z = -5*b + 4*z + 10. Suppose -f = -3 - b. Factor 3*w**3 - 8*w**f + 9*w**4 + 2*w**4.
3*w**3*(w + 1)
Suppose -258 = -85*f + 82. Let 0*h + 4/3*h**3 + 0 - 2/3*h**f + 0*h**2 = 0. Calculate h.
0, 2
Let o(l) be the third derivative of l**8/196 + 6*l**7/245 - 3*l**6/280 - l**5/14 - 3*l**4/56 + 85*l**2 + 2*l. Suppose o(w) = 0. What is w?
-3, -1/2, 0, 1
Let h(m) be the third derivative of -m**8/1680 + m**7/210 - 2*m**5/15 - m**4/8 - 6*m**2. Let z(i) be the second derivative of h(i). Factor z(r).
-4*(r - 2)**2*(r + 1)
Let n(m) be the third derivative of m**8/40320 + m**7/2016 + m**6/360 - 9*m**5/20 - 28*m**2. Let g(z) be the third derivative of n(z). Factor g(l).
(l + 1)*(l + 4)/2
Let n be (1/6)/((-2)/(-4)). Let b(z) be the first derivative of -z + 1/2*z**2 + n*z**3 - 4 - 1/4*z**4. Determine p so that b(p) = 0.
-1, 1
Let k be ((-8)/16)/(2/(-12)). Suppose 5*f = 2*z - 11 - 32, 2*z + 2*f - 8 = 0. Factor 5 - 11*c**3 + z*c + c**k + 1 + c**3 - 6*c**2.
-3*(c - 1)*(c + 1)*(3*c + 2)
Let o = 543/2 + -270. Factor o*y**3 + 1/2*y**4 + 1/2*y + 3/2*y**2 + 0.
y*(y + 1)**3/2
Let v(u) be the first derivative of -u**3/18 + 5*u**2/6 - 3*u/2 + 378. Suppose v(l) = 0. What is l?
1, 9
Suppose -12*c + 2*f = -15*c + 8, 5*f = c + 20. Solve 4/3*i**3 + 0 - 4/3*i**2 + c*i + 4/3*i**4 - 4/3*i**5 = 0 for i.
-1, 0, 1
Let h(m) be the third derivative of -m**5/54 - 7*m**4/27 + 49*m**3/27 + 1068*m**2. Determine z, given that h(z) = 0.
-7, 7/5
Solve -6*q**3 - 5/3*q**4 + 24*q - 32/3 + 28/3*q**2 = 0.
-4, -2, 2/5, 2
Let a = 3 + -9. Let o(h) = h**2 + 6*h + 3. Let k be o(a). Determine n, given that -10 + 3 + 82*n**4 + 42*n**2 + 3 + 98*n**k - 2*n + 24*n**5 = 0.
-1, -2/3, 1/4
Let s = 1692 - 1681. Let b(x) be the first derivative of 16*x**2 + 8*x**3 - 4/5*x**5 + 12*x - s + 0*x**4. Let b(g) = 0. What is g?
-1, 3
Let c be 35/(-70)*(-10 - -4). Factor -z**2 + 1/3*z**4 + 1/3*z - 1/3*z**c + 2/3.
(z - 2)*(z - 1)*(z + 1)**2/3
Let j(d) be the second derivative of d**6/30 + 3*d**5/10 + 11*d**4/12 + d**3 - d - 106. Suppose j(s) = 0. What is s?
-3, -2, -1, 0
Factor 2*i**2 + 2/7*i**4 - 6/7*i + 0 - 10/7*i**3.
2*i*(i - 3)*(i - 1)**2/7
Let r(m) be the first derivative of -m**6/57 - 2*m**5/95 + 3*m**4/38 + 2*m**3/57 - 2*m**2/19 - 137. Solve r(a) = 0.
-2, -1, 0, 1
What is f in -105*f - 1348*f**2 + 45*f**3 + 1273*f**2 - 5*f**4 - 20*f = 0?
-1, 0, 5
Suppose -3*n - 24 + 9 = 0. Let r(d) = -d**2 - d - 1. Let p(v) = -13*v**2 - 23*v - 9. Let x(u) = n*r(u) + p(u). Let x(m) = 0. Calculate m.
-2, -1/4
Factor 0 + 4/3*t + 2/3*t**2.
2*t*(t + 2)/3
Let c(x) be the third derivative of x**6/40 + 2*x**5/5 + 11*x**4/8 - 10*x**3 + 3*x**2. Solve c(y) = 0.
-5, -4, 1
Let v(h) be the first derivative of 1/6*h**2 + 0*h - 11 - 1/27*h**3. Factor v(i).
-i*(i - 3)/9
Let u(o) be the second derivative of 32/15*o**6 + 56/3*o**3 - 56/5*o**5 + 0 + 11*o**4 + 8*o**2 - 2*o. Suppose u(c) = 0. Calculate c.
-1/4, 2
Let j(g) be the second derivative of -g**7/4620 - g**6/1980 + g**5/165 + g**4/33 + g**3/6 - 4*g. Let i(z) be the second derivative of j(z). Factor i(d).
-2*(d - 2)*(d + 1)*(d + 2)/11
Let g(f) = 2*f + 30. Let p be g(-14). Determine v so that 0*v**3 - 25*v - 33*v**p + 35*v**4 - 12*v**2 + 25*v**3 + 10 = 0.
-1, 2/7, 1
Determine f so that 12/5*f**4 - 9*f**3 + 12/5 + 9*f - 24/5*f**2 = 0.
-1, -1/4, 1, 4
Let w = -659 - -663. Factor -5/6*q**3 - 7/6*q**2 + 2/3*q**w + 1/3*q + 0.
q*(q - 2)*(q + 1)*(4*q - 1)/6
Let k be 8/6 - 16/3. Let t be (2/4)/(k/(-16)). Factor 0 + 0*q + 1/4*q**t.
q**2/4
Let j be 42/(-15)*1710/(-1197). Solve -j*i + 16/3 + 2/3*i**2 = 0.
2, 4
Let d be 1 - -2 - (-162)/(-6). Let h = d + 26. Factor -3 + h*f - 1/3*f**2.
-(f - 3)**2/3
Suppose 7298233 - 1138856 - 42011216*g + 35281551 - 2620*g**3 + 4*g**4 + 572904*g**2 = 0. What is g?
1, 218
Let f(t) be the third derivative of t**6/120 - t**5/60 - 17*t**4/24 - 5*t**3/2 - 18*t**2 - 4*t. Factor f(x).
(x - 5)*(x + 1)*(x + 3)
Let z be 131*(4 + (-33)/9)*3. Let y = -523/4 + z. Factor y*a**2 - 3/2*a + 9/4.
(a - 3)**2/4
Let j(s) = -s**2 - 21*s - 46. Let r be j(-19). Let t be r - -5 - -5*(-4)/(-6). Factor t - 1/3*p - 2/3*p**2.
-(p + 1)*(2*p - 1)/3
Let y(r) be the third derivative of -10*r**2 - 25/12*r**3 + 0 + 0*r + 15/16*r**4 + 1/12*r**5. Solve y(i) = 0.
-5, 1/2
Let y be 3 - (60/10 - (2 + (-30)/(-21))). Determine z, given that 0 + 3/7*z**4 + 0*z + y*z**2 - 6/7*z**3 = 0.
0, 1
Let d(j) be the third derivative of j**8/168 - 8*j**7/35 + 53*j**6/15 - 413*j**5/15 + 441*j**4/4 - 686*j**3/3 + j**2 + 61*j. Factor d(t).
2*(t - 7)**3*(t - 2)*(t - 1)
Suppose 16 = 4*k + 2*c, 3*c + c = 16. Factor 0*t**4 - 8*t**2 - 4*t**4 - 4*t**k - 4*t - 12*t**3.
-4*t*(t + 1)**3
Let m(d) be the first derivative of d**4/22 - 14*d**3/11 + 38*d**2/11 + 143. Factor m(l).
2*l*(l - 19)*(l - 2)/11
Let o be (2449/(-1395) - 12/(-10))/((-10)/12). Factor -11/3*h - o - 3*h**2.
-(h + 1)*(9*h + 2)/3
Suppose j - 10 - 18 = 0. Let w(a) = a**3 + a**2 + a - 1. Let y(c) = -16*c**3 - 16*c**2 - 10*c + 14. Let k(o) = j*w(o) + 2*y(o). What is p in k(p) = 0?
-2, 0, 1
Let h = 23 - 14. Suppose h = -3*i, i + 12 = d + 1. Find g, given that -20*g - 10*g + 4*g**2 - 10*g + 64 + d*g = 0.
4
Let u be 1 + -3*3*(-2)/9. Factor 11*g - 2*g**4 - 12 - 34*g**2 + 14*g**u - 15*g + 8*g + 30*g.
-2*(g - 3)*(g - 2)*(g - 1)**2
Let v(c) = -c**3 + c. Let k(u) = -4*u**3 + 20*u**2 