y(f) = f**3 + f**2 + 1. Let w(j) = 6*j**2 + 2*j - 2. Suppose 0 = -5*k - 10, -5*k = h - 0*k + 6. Let q(r) = h*y(r) - 2*w(r). Factor q(o).
4*(o - 2)*(o - 1)*(o + 1)
Let m(p) = -7*p**2 - 5*p. Let z be (-2)/11 - (-1358)/(-154). Let n(y) = 3*y**2 + 2*y. Let q(a) = z*n(a) - 4*m(a). Let q(t) = 0. Calculate t.
-2, 0
Let w be (90/243*(-6)/(-5))/2. Find z such that 0*z**2 - w*z**4 - 4/9*z**3 + 2/9 + 4/9*z = 0.
-1, 1
Let h(x) be the third derivative of -x**6/120 - 7*x**5/60 - 11*x**4/24 - 5*x**3/6 + 97*x**2. Factor h(q).
-(q + 1)**2*(q + 5)
Let n(u) = -13*u - 738. Let j be n(-57). Let 8/5*z**j + 8/5*z**4 - 4/5 - 4/5*z**2 + 2/5*z**5 - 2*z = 0. What is z?
-2, -1, 1
Let b be ((-3)/1 - -1)*-5. Let c = 19 - b. Factor 23*n + 213*n**4 + 7*n**4 + 12 - 76*n**3 - 92*n**2 + c*n - 100*n**5 + 4.
-4*(n - 1)**3*(5*n + 2)**2
Factor 6/17*q**2 - 2/17*q**4 - 8/17 + 8/17*q - 4/17*q**3.
-2*(q - 1)**2*(q + 2)**2/17
Let a(y) be the first derivative of 0*y**2 + 1/42*y**7 + 0*y**4 + 1/15*y**6 - 3*y + 0*y**3 + 0*y**5 + 2. Let g(z) be the first derivative of a(z). Factor g(h).
h**4*(h + 2)
Let 112/5*x + 34/5*x**2 + 2/5*x**3 + 104/5 = 0. What is x?
-13, -2
Let i(q) be the second derivative of 2*q**7/105 - q**5/15 + 5*q**2/2 - 3*q. Let t(o) be the first derivative of i(o). Find y, given that t(y) = 0.
-1, 0, 1
Let t(p) = 3*p**3 + 1. Let k be t(1). Solve 5*h**2 + h**2 + 26*h**k - 3 - 29*h**4 = 0.
-1, 1
Suppose -74 = -2*l + d + 9, l + 4*d = 28. Suppose 0 = 42*a - 38*a - l. Determine m, given that -8*m - a*m**2 - 7*m**3 - 2*m**2 - 3*m**3 - 4*m**2 - 2*m**4 = 0.
-2, -1, 0
Let t(j) = j**2 + j + 2. Let n be t(-2). Let d = 1 + n. Factor 20*p**2 - 3*p - 15*p**4 - 7*p + 10*p + 5*p**d.
5*p**2*(p - 2)**2*(p + 1)
Let w(t) be the third derivative of t**3 - 1/180*t**6 + 0*t + 0 - 1/12*t**4 - 1/30*t**5 - 3*t**2. Let q(x) be the first derivative of w(x). Solve q(n) = 0.
-1
Let j be (11 - 657/63)*(0 - -1). Let 6/7*z - 4/7*z**2 + j = 0. What is z?
-1/2, 2
Let i(h) = 3*h**4 + 12*h**3 - 33*h**2 + 12*h - 6. Let l(g) = -4*g**4 - 13*g**3 + 33*g**2 - 12*g + 4. Let q(c) = 2*i(c) + 3*l(c). Determine w so that q(w) = 0.
-4, 0, 1/2, 1
Let r be (-93)/744*(-44)/6 - 2/(-6). What is w in -5/4*w + 0 + r*w**2 = 0?
0, 1
Let m(y) be the second derivative of 1/60*y**6 - 4*y**2 - 1/30*y**5 - 2*y + 0 + 0*y**3 + 0*y**4. Let b(v) be the first derivative of m(v). Factor b(p).
2*p**2*(p - 1)
Let l(p) = 30*p - 25*p**3 - 31*p**2 + 31 - 5*p**3 - 13*p**3. Let r(h) = -21*h**3 - 15*h**2 + 15*h + 15. Let d(m) = -6*l(m) + 13*r(m). Factor d(f).
-3*(f - 1)*(f + 1)*(5*f + 3)
Let b(h) be the first derivative of -h**7/2940 + 2*h**6/315 - h**5/20 + 3*h**4/14 + 31*h**3/3 + 34. Let x(s) be the third derivative of b(s). Factor x(k).
-2*(k - 3)**2*(k - 2)/7
Determine y, given that 14*y**2 + 4*y**5 + 86*y**2 - 116*y**3 - 24*y - 64 - 36*y**4 + 136*y**3 = 0.
-1, 1, 2, 8
Let a be 5/(-2)*(2 - 120/48). Let w be 1014/72 - (-2)/(-6). Solve -15*t**2 - 5/2 + 5*t**4 - w*t + a*t**3 = 0 for t.
-1, -1/4, 2
Let b = -44 + 39. Let u(x) = -x**2 - 1. Let y(v) = -9*v**2 + 12*v - 5. Let q(p) = b*u(p) + y(p). Factor q(z).
-4*z*(z - 3)
Let l(x) = -70*x - 765. Let y be l(-11). Let t(j) be the second derivative of 1/15*j**y + 4/9*j**3 + 0 - 6*j + 0*j**2 + 1/3*j**4. Factor t(a).
4*a*(a + 1)*(a + 2)/3
Suppose -23*g - 155 = -28*g. Suppose 4*k = 5*x - g, -x - 14 = k - 13. Solve -1/9*m**4 - 2/9*m**x - 4/9 + 1/3*m**2 + 4/9*m = 0.
-2, 1
Let k(d) = -25*d**2 + 52*d**2 - 26*d**2 - 1. Let f(i) be the second derivative of 7*i**4/12 + i**3 - 2*i**2 - i. Let w(q) = -f(q) + 4*k(q). Factor w(p).
-3*p*(p + 2)
Let s(r) = r**2 + 5*r - 29. Let i(n) be the second derivative of -n**3/2 + 15*n**2/2 - 18*n. Let z(w) = 5*i(w) + 3*s(w). Let z(g) = 0. What is g?
-2, 2
Let 30 + 49*u + 5*u**2 + 47*u - 160*u + 29*u = 0. Calculate u.
1, 6
Let o be (-27)/3*(-4)/12. Find s such that -3*s**2 + o*s**2 + 3*s - 3*s**2 - 5*s + s**4 = 0.
-1, 0, 2
Let p(d) = -48*d**3 - 81*d**2 + 801*d + 801. Let r(b) = 3*b**3 + 5*b**2 - 50*b - 50. Let c(i) = -2*p(i) - 33*r(i). Factor c(s).
-3*(s - 4)*(s + 1)*(s + 4)
Let g(t) be the first derivative of -t**5/50 + t**4/30 + t**3/3 + 3*t**2/5 + 12*t - 16. Let f(w) be the first derivative of g(w). Factor f(k).
-2*(k - 3)*(k + 1)**2/5
Let l(r) be the second derivative of 1/6*r**3 + 1/12*r**4 + 0 - 7*r + 0*r**2. Factor l(a).
a*(a + 1)
Let y(s) = -35*s - 312. Let m be y(-9). Let d(j) be the first derivative of 3/4*j - 1/24*j**6 + 7/6*j**m + 3/8*j**4 - 1/20*j**5 + 11/8*j**2 - 8. Factor d(f).
-(f - 3)*(f + 1)**4/4
Suppose 4*x = 4 + 4. Let v be 15/(-6)*(-1 - 1). Determine o, given that -v + 0*o**x + o**2 + 3 + 2*o - 1 = 0.
-3, 1
Let d(w) be the second derivative of 9/4*w**5 + 0 + 20/3*w**4 + 21*w - 5*w**2 + 25/6*w**3. Let d(s) = 0. Calculate s.
-1, 2/9
Let t(j) be the second derivative of -j**4/48 + j**3/4 + 2*j - 58. Solve t(g) = 0.
0, 6
Let -7688 - 124*b - 1/2*b**2 = 0. What is b?
-124
Let h(m) = 3*m**2 + 6*m + 9. Let n(p) = -9*p**2 + 23*p + 3. Let x(o) = 4*o**2 - 11*o - 2. Let c(j) = 6*n(j) + 13*x(j). Let z(y) = -6*c(y) - 5*h(y). Factor z(r).
-3*(r - 1)*(r + 1)
Suppose 0 = 2*j - 9*j + 21. Determine z, given that -4*z - j + z + 5*z + 6*z**2 + z = 0.
-1, 1/2
Let 7*v**3 + 364*v + 208*v**2 - 75*v - 4*v**4 + 21*v**3 + 79*v + 192 = 0. Calculate v.
-2, -1, 12
Let o(c) = 5*c**2 + 26*c - 60. Let g(d) = d**2 - 10. Let x(i) = 6*g(i) - o(i). Factor x(u).
u*(u - 26)
Let l(w) be the second derivative of w**6/30 - 9*w**5/20 + 25*w**4/12 - 9*w**3/2 + 5*w**2 - 225*w. Factor l(h).
(h - 5)*(h - 2)*(h - 1)**2
Suppose 3*r**5 + 4 + 20*r + 34*r**3 + 36*r**2 + 3*r**2 + 3*r**3 + 17*r**4 = 0. What is r?
-2, -1, -2/3
Let g(n) be the first derivative of -1/9*n**6 + 2/15*n**5 - 2/9*n**3 + 9 + 0*n**2 + 1/6*n**4 + 0*n. Factor g(i).
-2*i**2*(i - 1)**2*(i + 1)/3
Let w be 11*(4/4 + 1). Suppose -w*l = -26*l + 12. What is c in -2*c**3 + 0*c**3 - 5*c**2 + l*c**2 = 0?
-1, 0
Let p be 4 + -2 + 47/(-12) - -2. Let v(i) be the third derivative of 0*i - 1/120*i**6 + 0 - 1/20*i**5 - i**2 - p*i**4 + 0*i**3. Factor v(t).
-t*(t + 1)*(t + 2)
Let t(f) be the first derivative of 2*f**5/5 + 35*f**4/2 - 146*f**3/3 + 37*f**2 - 200. Factor t(b).
2*b*(b - 1)**2*(b + 37)
Suppose -2*f = -4*p + p - 15, -5*f + 3*p = -24. Suppose -f*w - 1 = k, w = -3*k - k + 29. Factor 4*i**4 - 3*i**3 - k*i**4 + i**4.
-3*i**3*(i + 1)
Factor -3/4*g + 0 - 1/4*g**3 - g**2.
-g*(g + 1)*(g + 3)/4
Suppose -n = o + 11 + 15, -5*o + n = 142. Let w be (-4)/70*-5 - (-8)/o. What is r in -1/5 + w*r**3 + 0*r - 1/5*r**4 + 2/5*r**2 = 0?
-1, 1
Determine c, given that 36 - 44609*c**2 - 269*c - 211*c + 44528*c**2 = 0.
-6, 2/27
Let l(z) be the first derivative of -36*z**5/5 - 12*z**4 + 44*z**3/3 - 4*z**2 + 78. Factor l(r).
-4*r*(r + 2)*(3*r - 1)**2
Let h be (-4)/(-18) + 12/(-54). Let f = 481/76 - 106/19. Let f*v + 3/4*v**2 + h = 0. What is v?
-1, 0
Let z be (3 - 6)/((-9)/(-24)). Let j be 6*(20/z - -3). Let -12*c + 1 + j + 8 + 3*c**2 = 0. What is c?
2
Let w(r) be the third derivative of -r**6/360 - 16*r**5/15 - 512*r**4/3 - 131072*r**3/9 + 4*r**2 + 26. Factor w(k).
-(k + 64)**3/3
Let v(n) = -n**3 - 9*n**2 + n - 18. Let a be v(-8). Let l = -88 - a. Factor -1/4 + 1/4*o**l + 0*o.
(o - 1)*(o + 1)/4
Let -2/13*o**4 + 6/13*o**2 - 4/13 + 2/13*o**3 - 2/13*o = 0. What is o?
-1, 1, 2
Suppose 72 = -399*s + 417*s. Determine y so that 0*y - y**3 - y**s - 1/3*y**2 - 1/3*y**5 + 0 = 0.
-1, 0
Let d(k) be the second derivative of -k**7/189 - k**6/27 - k**5/45 + 10*k**4/27 + 8*k**3/9 + 72*k. Determine l so that d(l) = 0.
-3, -2, 0, 2
Suppose -2*m = -55*m. Find a such that 0 + 3/4*a**2 + a**4 + 13/8*a**3 + m*a + 1/8*a**5 = 0.
-6, -1, 0
Suppose 0 = -2*o - o + 18. Find a such that -a**3 + 4 + 3*a - 6*a - o + 3 + 3*a**2 = 0.
1
What is j in -2223*j - 2*j**5 + 2479*j - 20*j**3 - 54*j**3 + 24*j**4 + 192 - 36*j**2 = 0?
-1, 4, 6
Let r(v) = 3512*v + 21072. Let n be r(-6). What is b in -2/3*b**3 + 2*b + 4/3 + n*b**2 = 0?
-1, 2
Let d(t) be the third derivative of 17*t**2 + 1/735*t**7 + 2/105*t**6 + 0 + 4/21*t**4 + 2/21*t**5 + 0*t**3 + 0*t. Factor d(s).
2*s*(s + 2)**2*(s + 4)/7
Let o = -259 + 259. Let m(s) be the first derivative of 4 + o*s**2 - s + 1/3*s**3. Factor m(r).
(r - 1)*(r + 1)
Let n(z) = z**4 - z**3 - z + 1. Let u(f) = -3*f**5 + 20*f**4 - 2*f**3 - 47*f**2 + 11*f + 21. Let g(m) = -36*n(m) + 4*u(m