+ 3*g**2 + 4*g - 3. Let i(q) = -56*q**4 + 66*q**3 - 32*q**2 - 46*q + 34. Let h(b) = 6*i(b) + 68*k(b). Factor h(j).
4*j*(j - 1)**3
Let d be (-237)/869 - (-36)/11. Let r(n) be the first derivative of 2*n**d - n**2 - 3 - 5/8*n**4 + 0*n. Suppose r(h) = 0. What is h?
0, 2/5, 2
Let o = 2704 + -2704. Determine i, given that 27*i + 3/4*i**5 + 21/2*i**4 + 63*i**2 + 183/4*i**3 + o = 0.
-6, -1, 0
Let w(k) = 96*k - 576. Let h be w(6). Find r such that -1/2*r + 0*r**3 + 1/4*r**4 + h - 3/4*r**2 = 0.
-1, 0, 2
Let 1/3*n**5 + 0*n + 0*n**3 - 7/3*n**4 + 0*n**2 + 0 = 0. What is n?
0, 7
Let o = 213/4 - 2295/44. Solve 8/11 + 18/11*l + o*l**2 + 2/11*l**3 = 0 for l.
-4, -1
Let l(x) = x**4 - 2*x**3 + x**2 - 1. Let i(b) = -8*b**4 + 16*b**3 + 28*b**2 - 36*b + 5. Let o(a) = i(a) + 5*l(a). Let o(c) = 0. Calculate c.
-3, 0, 1, 4
Solve 4/11*g**5 - 8/11*g**3 + 4/11*g - 6/11*g**2 + 0 + 6/11*g**4 = 0 for g.
-2, -1, 0, 1/2, 1
Let b(w) be the first derivative of 4*w**3/3 - 154*w**2 - 312*w + 606. Let b(f) = 0. What is f?
-1, 78
Let o(b) be the third derivative of -b**6/30 - 3*b**5/5 - 10*b**4/3 - 2*b**2 - 398. Factor o(v).
-4*v*(v + 4)*(v + 5)
Let v(s) = s**2 - s - 3. Let j be v(3). Suppose 0 = 3*r + 6 - 258. What is q in r*q**j + 16*q + 64*q**2 + 9*q**5 + 2*q**4 - q**5 + 9*q**4 + 33*q**4 = 0?
-2, -1, -1/2, 0
Let t(u) be the second derivative of u**7/10080 - u**6/1440 - u**5/60 + 11*u**4/4 + 19*u + 2. Let r(m) be the third derivative of t(m). What is w in r(w) = 0?
-2, 4
Let u be 120/5*(-5 - (-48)/9). Let w(o) be the second derivative of 10*o + 32*o**2 + o**4 - u*o**3 + 0 - 1/20*o**5. Find n such that w(n) = 0.
4
Let n(b) = 3*b**2 - 161*b - 42. Let m be n(54). Let a(l) be the first derivative of -3*l**3 - m + l**2 + 7/4*l**4 + 0*l. Determine v, given that a(v) = 0.
0, 2/7, 1
Let y(d) be the first derivative of d**6/24 - 3*d**5/20 + 3*d**4/16 - d**3/12 + 86. Factor y(w).
w**2*(w - 1)**3/4
Let n = -31 + 63. Suppose 4*d - 2 = 6. Factor n*f**4 - 12*f + 2*f**d + 12*f**3 + 36*f**3 + 5 - 3.
2*(f + 1)**2*(4*f - 1)**2
Let c = 7658 - 22972/3. Suppose 4/3*q - c*q**3 + 2/3*q**2 + 0 = 0. Calculate q.
-1, 0, 2
Let s(t) be the second derivative of t**5/30 + 10*t**2 - 15*t. Let k(v) be the first derivative of s(v). Factor k(d).
2*d**2
Suppose 4*f + 0 = 2*o + 2, -o = -3*f + 4. Find d, given that 5*d**2 - 3*d**2 - d**5 - d**o + d**3 - 2*d**4 + d**3 = 0.
-1, 0, 1
Let a(g) be the second derivative of -g**5/30 + g**4/3 - 4*g**3/3 + 5*g**2/2 - 13*g. Let y(d) be the first derivative of a(d). Determine j, given that y(j) = 0.
2
Let u = 84 + -81. Factor -s**5 + 21*s**u + 4*s**5 + 3*s**2 - 15*s**4 - s**2 - 11*s**2.
3*s**2*(s - 3)*(s - 1)**2
Let z = 256 - 144. Let n be z/132 + 10/(-15). Factor 8/11*d**4 - 2/11*d - 12/11*d**3 - n*d**5 + 0 + 8/11*d**2.
-2*d*(d - 1)**4/11
Solve -2/3*z**4 + 0 + 0*z**3 + 8/9*z**2 + 0*z - 2/9*z**5 = 0 for z.
-2, 0, 1
Let l(v) be the third derivative of -21/20*v**5 - v**4 + 0*v - 1/20*v**6 + 2*v**3 + 0 + 2*v**2 + 1/10*v**7. Factor l(y).
3*(y - 2)*(y + 1)**2*(7*y - 2)
Let z be (-1)/(-6) - (-8)/240. Solve -z*b - 1/5*b**2 + 6/5 = 0 for b.
-3, 2
Let u(w) be the third derivative of -w**6/40 + 13*w**5/20 - 35*w**4/8 - 49*w**3/2 - 454*w**2. Suppose u(c) = 0. Calculate c.
-1, 7
Let i = -908 - -910. Let 2/5*x**i + 2/5*x**3 - 2*x + 6/5 = 0. Calculate x.
-3, 1
Let x(m) be the third derivative of -m**5/105 - 23*m**4/21 - 1058*m**3/21 + 41*m**2. Determine y so that x(y) = 0.
-23
Let h be (-3)/(45/(-51)) - 3. Suppose 2*g + 1 = 9. Factor -2*i - 6/5*i**2 + 2/5*i**g - 4/5 + h*i**3.
2*(i - 2)*(i + 1)**3/5
Let p be ((-54)/(-32))/(1*(-12)/(-304)). Let o = 2239/52 - p. Factor 0 - o*j + 2/13*j**2.
2*j*(j - 2)/13
Factor -20/9*o - 2/9*o**3 + 0 + 22/9*o**2.
-2*o*(o - 10)*(o - 1)/9
Let y = 52 - 47. Suppose 4*g + g + y*b = -5, -2*g - 3*b - 5 = 0. Factor 2/9 + 2/9*l**g - 4/9*l.
2*(l - 1)**2/9
Let a(x) be the second derivative of -x**7/189 - 2*x**6/135 + x**4/27 + x**3/27 + 46*x. Suppose a(u) = 0. What is u?
-1, 0, 1
Let z be 6/(3*8/12). Let -4*r**z + 3*r**3 - 123*r + 2 - r**2 + 128*r - r**4 + 4*r**2 = 0. Calculate r.
-1, 2
Let -9 + 16*h**2 - h**5 - 12*h + 7*h**3 - 7 - 6*h**4 - 2*h**3 + 2*h**5 = 0. Calculate h.
-1, 2, 4
Let d(u) = 4*u**3 + 19*u**2 + 20*u + 11. Let a(r) = -26*r**2 - 13*r**2 - 2 - 21 - 8*r**3 - 37*r - 3*r. Let j(w) = 3*a(w) + 7*d(w). Factor j(m).
4*(m + 1)**2*(m + 2)
Let k(w) be the second derivative of -3*w**5/20 - 3*w**4/4 - 78*w. Factor k(d).
-3*d**2*(d + 3)
Let m(t) = -3*t**4 + 12*t**3 - 4*t**2 + 5*t. Let a(w) = 15*w**4 - 60*w**3 + 21*w**2 - 24*w. Let j(v) = -5*a(v) - 24*m(v). Factor j(y).
-3*y**2*(y - 3)*(y - 1)
Let n = 398787/7 - 57097. Let v = 128 + n. Find u, given that -1/7*u**3 - 5/7*u + 2/7 + v*u**2 = 0.
1, 2
Let k(t) be the third derivative of -8*t**2 - 2/15*t**3 - 1/20*t**4 + 1/400*t**6 + 1/2100*t**7 + 0 - 1/300*t**5 + 0*t. Factor k(y).
(y - 2)*(y + 1)*(y + 2)**2/10
Let p = 136 - 126. Let -1925*x**2 - 5*x**5 - 5*x + p*x**3 + 1925*x**2 = 0. What is x?
-1, 0, 1
Let -128/5*m**2 + 12/5*m**3 + 8*m**4 - 4/5*m**5 + 0 + 16*m = 0. Calculate m.
-2, 0, 1, 10
Let r(u) be the second derivative of u**6/6 - 5*u**5/4 + 5*u**4/4 + 25*u**3/6 - 10*u**2 - 18*u + 2. Suppose r(z) = 0. What is z?
-1, 1, 4
Let a = -5/59 - -329/3186. Let r(t) be the second derivative of -11*t - a*t**4 - 4/27*t**3 - 4/9*t**2 + 0. Factor r(c).
-2*(c + 2)**2/9
Let a = 26 + -44. Let z be (a/24)/(1/(-4)). Factor 3*o**5 + 6*o**4 - 7*o**z + 149 - 21*o + o**3 - 155 - 24*o**2.
3*(o - 2)*(o + 1)**4
Let m(d) be the second derivative of -d**5/10 + 4*d**3/3 - 60*d - 1. Let m(i) = 0. What is i?
-2, 0, 2
Suppose 0 = 5*z + 5*a - 5, a - 1 = 2*z - 12. Suppose -7 = -z*p + 9. Factor -6*d**2 - p*d - 5*d + 3*d**3 + 3*d + 3*d**2.
3*d*(d - 2)*(d + 1)
Suppose -17*o - 17*o = -136. Let j(z) be the third derivative of 0*z - 1/12*z**3 + 1/96*z**4 + 1/240*z**5 + 0 - o*z**2. Factor j(f).
(f - 1)*(f + 2)/4
Let s be 2605/25 - (-1)/(-5). Let j be s/56 - 1/(-7). Factor -3 + 6*x - 4*x**2 + x**j + 3.
-3*x*(x - 2)
Let n(v) be the first derivative of v**6/21 + 14*v**5/5 + 312*v**4/7 + 384*v**3/7 + 238. Factor n(o).
2*o**2*(o + 1)*(o + 24)**2/7
Determine i so that 3/2*i**3 - 1/2*i**2 + 1 - 3/2*i - 1/2*i**4 = 0.
-1, 1, 2
Let s(d) = 20*d**4 - 92*d**3 + 147*d**2 - 68*d + 13. Let l(f) = -19*f**4 + 92*f**3 - 147*f**2 + 70*f - 12. Let x(u) = -5*l(u) - 4*s(u). Factor x(i).
(i - 4)*(i - 1)**2*(15*i - 2)
Let p be ((-40)/(-48))/(1 - -4). Find j such that -1/3*j**2 + 0 - 1/2*j**3 + 0*j - p*j**4 = 0.
-2, -1, 0
Let q(p) = 87 - 6*p - 87. Let d(a) be the second derivative of a**5/20 + a**4/12 - 17*a**3/6 - a**2/2 + 2*a. Let y(j) = -3*d(j) + 8*q(j). Factor y(k).
-3*(k - 1)*(k + 1)**2
Suppose 129 + 116*k**2 - 30 + 270*k - 3*k**3 - 75*k - 23*k**2 = 0. What is k?
-1, 33
Let m be (-12 + 30)*(2 - 5/3). Let r be (-210)/(-63) - m/(2 + 0). Factor 0 + 1/3*c + r*c**2.
c*(c + 1)/3
Determine a so that -44 - 1/2*a**4 + 75*a - 37/2*a**2 - 12*a**3 = 0.
-22, -4, 1
Let o(c) be the first derivative of -3/5*c**2 + 9/5*c - 1 - 1/5*c**3. Factor o(m).
-3*(m - 1)*(m + 3)/5
Let c(a) = -10*a**2 - a - 1. Let w(s) = -7*s**2 - 1. Let k(q) = -2*c(q) + 3*w(q). Factor k(t).
-(t - 1)**2
Let f = 496 + -10414/21. Let k(l) be the second derivative of 0 - 1/70*l**5 - 3*l - 5/21*l**3 - f*l**4 - 2/7*l**2. What is m in k(m) = 0?
-2, -1
Let v = -2/4749 + 1056/1583. Let -4/3 - 2/3*h**3 + v*h + 2*h**2 - 2/3*h**4 = 0. Calculate h.
-2, -1, 1
Let k(u) be the second derivative of u**4/30 - 34*u**3/15 + 289*u**2/5 - 155*u + 2. Factor k(c).
2*(c - 17)**2/5
Factor -128/3 - 24*n - 4/3*n**2.
-4*(n + 2)*(n + 16)/3
Let w(o) = 3*o**2 + 9*o + 8. Let z(v) = 1. Let f(b) = w(b) - 2*z(b). Let c(q) = -q**2 - q. Let k(l) = -5*c(l) - f(l). Solve k(h) = 0.
-1, 3
Let c = 103 - 110. Let x be (-24)/c + (-5 - -2). Factor 2/7 + 1/7*v**2 - x*v.
(v - 2)*(v - 1)/7
Let v(y) be the first derivative of -1/420*y**6 - 3*y**2 + 0*y**3 - 7 + 0*y**4 + 0*y + 1/210*y**5. Let h(m) be the second derivative of v(m). Factor h(z).
-2*z**2*(z - 1)/7
Let w(l) be the first derivative of -l**6/33 + 2*l**5/55 + l**4/22 - 2*l**3/33 + 871. Suppose w(t) = 0. What is t?
-1, 0, 1
Let x(y) be the second derivative of 37*y**6/30 + 19*y**5/5 - 107*y**4/12 - y**3 + 11*y - 16. Factor x(w).
w*(w - 1)*(w + 3)*(37*w + 2)
Suppose 3*b**2 - 73*b**3 - 4*b**4 + 75*b**3 - b**2 =