 + 0 + 1/5*i**5 - i. Solve u(j) = 0.
0, 1
Let n be ((-10)/(-95))/(11/209). Factor -6*w**3 + 1/3*w**4 + 0*w + 0 + 27*w**n.
w**2*(w - 9)**2/3
Let g = -2091/2 + 1058. Determine b, given that 1/2*b**2 + 5*b + g = 0.
-5
Factor 3/8*z**2 + 0 + 21/4*z.
3*z*(z + 14)/8
Let x be (17/3 + (-26)/13)*3. Suppose -t = -4*h + x, h - 10 = -4*h + 2*t. What is v in 0*v**2 + 4/7*v**3 - 2/7*v + 0*v**h + 0 - 2/7*v**5 = 0?
-1, 0, 1
Let x(i) be the third derivative of -1/2100*i**7 - 64/15*i**3 + 0*i + 1/75*i**6 - 3*i**2 - 4/25*i**5 + 16/15*i**4 + 7. Determine t so that x(t) = 0.
4
Let h(x) be the third derivative of 13*x**6/240 - x**5/5 + 3*x**4/16 + x**3/6 - 2*x**2 + 20*x. Find y such that h(y) = 0.
-2/13, 1
Let t = -9 - -12. Let v(r) = 132 - t*r - 132 - 2*r**2. Let f(m) = 5*m**2 + 8*m. Let b(x) = 3*f(x) + 8*v(x). Solve b(z) = 0.
0
Factor 138*a + 62 + 199 + 248*a**2 - 251*a**2 + 27.
-3*(a - 48)*(a + 2)
Suppose 3*c + c = 8. Let b(f) = f**4 + f**3 - 2 + f**2 + 0 - f + c*f**2. Let p(y) = 2*y**4 + y**3 + 4*y**2 - y - 3. Let d(z) = 3*b(z) - 2*p(z). Factor d(j).
-j*(j - 1)**2*(j + 1)
What is f in -1/2*f**3 - 5/2 - 7/2*f**2 - 11/2*f = 0?
-5, -1
Let y(i) = -6*i**2 - 39*i + 7. Let t(z) = 4*z**2 + 26*z - 4. Let a(n) = 7*t(n) + 5*y(n). Determine h, given that a(h) = 0.
-7, 1/2
Suppose w = x - 2, 2*x - 4 = -w - 0. Let h be (-2541)/(-14) + (-3)/x. Factor 171*n - h*n - 6 - 7*n**2 + 4*n**2.
-3*(n + 1)*(n + 2)
Let r(l) be the third derivative of 0*l**3 - 1/10*l**4 + 21*l**2 + 0*l + 1/100*l**5 + 0. Factor r(u).
3*u*(u - 4)/5
Suppose 17*r**3 + r**5 - 3*r**2 + r**4 - 22*r**3 - 2*r**4 = 0. What is r?
-1, 0, 3
Suppose -3*z - 4*z = -49. Suppose -z*a + 0*a = 0. Determine o, given that 3/4*o**2 + 0*o + a + 3/4*o**3 = 0.
-1, 0
Suppose -30*n**4 - 667*n - 30*n**2 + 667*n + 55*n**3 + 8*n**5 - 3*n**5 = 0. Calculate n.
0, 1, 2, 3
Suppose 266*i + 220 = 271*i. Let b be i/(-66)*18/(-8). Factor 3*j**2 + b*j**4 - j - 1/4*j**5 - 13/4*j**3 + 0.
-j*(j - 2)**2*(j - 1)**2/4
Let g be -1 - (-4)/9*-138. Let u = -62 - g. Suppose -u*y**4 - 1/3*y**3 + 1/3*y + 0 + 1/3*y**2 = 0. Calculate y.
-1, 0, 1
Let d = 17839/276 - 268/69. Factor -27/4*g**2 - 1/4*g**3 - d*g - 729/4.
-(g + 9)**3/4
Let y(n) be the first derivative of 2*n**2 - 5 + 12*n + 1/9*n**3. Let y(h) = 0. Calculate h.
-6
Let i(l) = 4*l**3 + 56*l**2 + 264*l + 316. Let r(q) = q**2 + 1. Let c(a) = -i(a) - 4*r(a). Factor c(j).
-4*(j + 2)*(j + 5)*(j + 8)
Let s(x) be the second derivative of x**4 + 3/10*x**5 - 9/2*x**2 - 17*x - 1/10*x**6 - x**3 + 0. Let s(f) = 0. What is f?
-1, 1, 3
Let c(r) be the first derivative of r**6/90 + r**5/30 - r**4/12 + 5*r + 10. Let t(h) be the first derivative of c(h). Let t(a) = 0. What is a?
-3, 0, 1
Suppose 5*i + 28 = -3*k + i, -2*i + 4 = -3*k. Let h be -7*(44/14 + k). Factor -q**4 + h*q**3 - 14*q**2 - 5*q**3 - q**5 + 15*q**2.
-q**2*(q - 1)*(q + 1)**2
Let g(o) = o**3 + o**2. Let p = 2 + 0. Let b(v) = -185*v**2 - 3*v**3 + 371*v**2 - v**5 - v**4 - 183*v**2 + 6*v**3. Let m(y) = p*g(y) - b(y). Solve m(n) = 0.
-1, 0, 1
Let h(s) be the third derivative of -s**6/1080 - s**5/108 + s**4/36 - 6*s**2 - 61*s. What is q in h(q) = 0?
-6, 0, 1
Let g be (-770)/(-250) - 10/125 - 1. Factor 3/5*x**g + 3/5 - 6/5*x.
3*(x - 1)**2/5
Factor -4/3*u**2 + 2/9*u**3 + 0 + 0*u + 2/9*u**4.
2*u**2*(u - 2)*(u + 3)/9
Let q(v) = 8*v**3 - v**2. Let i be q(1). Suppose 29 = z - 5*j, 0 = j - 3 + i. Factor 8 - 3*o + z*o - o**2 + 10*o - 9*o**2.
-2*(o - 2)*(5*o + 2)
Let f(w) be the second derivative of w**6/15 + w**5/2 + 4*w**4/3 + 4*w**3/3 - 34*w - 2. Let f(m) = 0. What is m?
-2, -1, 0
Find d, given that 102/7*d - 120/7 - 9/7*d**2 = 0.
4/3, 10
Let i(l) be the second derivative of l**5/10 - 11*l**4/6 + 20*l**3/3 + 32*l**2 - 53*l. Determine k, given that i(k) = 0.
-1, 4, 8
Let r = 1234 + -8634/7. Determine k so that -r - 1/7*k**5 + 0*k - 3/7*k**4 + k**2 + 1/7*k**3 = 0.
-2, -1, 1
Let h(q) be the first derivative of 8/11*q - 4/11*q**2 + 8 + 2/33*q**3. Factor h(o).
2*(o - 2)**2/11
Let t(f) = -f**2 + 55*f + 128. Let x(q) = -14*q - 32. Suppose -12 = b - 8. Let i(d) = b*t(d) - 18*x(d). Determine a so that i(a) = 0.
-4
Let v(m) be the third derivative of -1/2*m**4 + 0*m + 1/15*m**5 + 24*m**2 + 0 - 8/3*m**3. Factor v(j).
4*(j - 4)*(j + 1)
Determine g, given that -370 + 11*g - 35*g + g**2 + 4*g**2 - 110 + 124*g = 0.
-24, 4
Let q be 1*(3 - -3)*2. Suppose q*r - 10*r - 22 = 0. Find i, given that 2*i**2 + 7*i**2 + r*i - 2 + 5 - 1 = 0.
-1, -2/9
Suppose 4*b = 4*h + 8, 2*h = b - 0*b - 2. Solve 0*r**2 + 4*r**b - 17*r + 13*r = 0 for r.
0, 1
Let i(s) = 216*s + 9724. Let g be i(-45). Factor -28/5*l**2 + 4/5*l**3 + 44/5*l - g.
4*(l - 5)*(l - 1)**2/5
Suppose -755*o - b = -758*o, 5*o - 5*b + 20 = 0. Solve 5/4*t**5 + 5/4*t**4 - 5/4*t**3 + 0 - 5/4*t**o + 0*t = 0 for t.
-1, 0, 1
Let y(a) be the third derivative of -6*a**5/95 + 185*a**4/19 - 34225*a**3/57 - 83*a**2. Factor y(n).
-2*(6*n - 185)**2/19
Let c(x) = -4*x**2 - 8*x - 7. Let i be (-8 - -8) + 96/2. Let v(z) = 44*z**2 + 61*z - 21*z + i*z + 76. Let m(d) = -32*c(d) - 3*v(d). Factor m(k).
-4*(k + 1)**2
Let x(h) be the first derivative of 2/45*h**3 - 26/15*h**2 + 338/15*h + 34. Factor x(g).
2*(g - 13)**2/15
Let m be 3/8 - (-24)/(-64). Let c be (m/(-1) + 3)/(6/4). Factor 7/3*h**5 + 4*h**4 + 2/3 - h - 4/3*h**3 - 14/3*h**c.
(h - 1)*(h + 1)**3*(7*h - 2)/3
Let t be 4/(-9)*(-54)/12. Let a = 3 + t. Suppose 3*s**2 - 4*s - 7*s**4 + 3*s**3 + 4*s + 3*s**a - 4*s + 2*s = 0. Calculate s.
-2/3, 0, 1
Let d(r) = r**2 + 3. Let o(y) = 2*y**2 + y + 6. Suppose -3*n + 7 = -4*n. Let c(m) = n*d(m) + 4*o(m). Suppose c(k) = 0. What is k?
-3, -1
Let f(i) be the second derivative of 0 + 1/3*i**2 + 1/72*i**4 + 10*i + 1/9*i**3. Factor f(g).
(g + 2)**2/6
Let t(r) = r**3 + 13*r**2 + 18*r + 12. Let b be t(-8). Let -109*k - 5*k**5 + b + 29*k - 108 + 40*k**3 - 40*k**2 + 5*k**4 = 0. What is k?
-2, 1, 2
Let k be (-377)/(-26)*22/55. Factor -12/5*v**3 + 4/5 - k*v**2 - 8/5*v.
-(v + 2)*(3*v + 2)*(4*v - 1)/5
Let t = 19667/7 - 2807. Factor -15/7 - t*d - 3/7*d**2.
-3*(d + 1)*(d + 5)/7
Factor -1/3*y**2 - 256/3 - 32/3*y.
-(y + 16)**2/3
Let u = -2802 - -36428/13. Determine m so that 2/13 - 2/13*m + u*m**3 - 2/13*m**2 = 0.
-1, 1
Let a(c) = -c**2 - 1. Let b(t) = 5*t**3 - 2*t**2 - 8. Let p(m) = -3*a(m) - b(m). Let y(h) be the first derivative of p(h). Let y(j) = 0. What is j?
0, 2/3
Let m be (-1)/(-2) - 582/7020. Let r = m - 2/117. Determine d, given that r*d**2 + 0 + 0*d = 0.
0
Let f(x) = 0*x - 4*x + 23 - 19. Let u(z) = z**4 - z**2 - 3*z + 3. Let j(r) = 3*f(r) - 4*u(r). What is h in j(h) = 0?
-1, 0, 1
Suppose 4*p = 4*h + 32, 678*p = 683*p - 4*h - 36. Let -2/5*u + 8/5*u**5 - 2*u**p + 0 + 2*u**2 - 6/5*u**3 = 0. What is u?
-1, 0, 1/4, 1
Let s(q) be the third derivative of -q**8/616 + 3*q**7/385 - q**6/110 - 2*q**2 + 7*q. Factor s(w).
-6*w**3*(w - 2)*(w - 1)/11
Factor -20*v**2 + 7*v + 1279 + 55*v - 1304 + 43*v.
-5*(v - 5)*(4*v - 1)
Let r be 8/(-52) - 84/(-39). Factor -m**2 + 55 + 24*m + 3*m**3 - 12*m**r - 8*m**2 - 7.
3*(m - 4)**2*(m + 1)
Suppose -4*r + 8*r - 114 = -34*r. Suppose -2/9*s**2 + 0 + 2/3*s**r - 8/9*s = 0. What is s?
-1, 0, 4/3
Suppose -76*u**2 - 85*u**2 + 156*u**2 = 0. What is u?
0
Let g be (32/(-36))/(1/60*74). Let r = -2/37 - g. Factor 0*y**2 + 1/3*y + r*y**4 + 0 - y**3.
y*(y - 1)**2*(2*y + 1)/3
Let p(s) = s**3 + s**2 - 7*s - 1. Let y be p(-3). Suppose -5*g + 3*q = -4 - 6, g - y*q - 2 = 0. Factor 0 - 2/9*b**3 + 0*b**g + 2/9*b.
-2*b*(b - 1)*(b + 1)/9
Let y(v) be the second derivative of -v**4/12 - 4*v**3/3 - 3*v**2 + 5*v. Let g(u) = -u**2 - 7*u - 5. Let d(j) = -6*g(j) + 5*y(j). Factor d(n).
n*(n + 2)
Let j(i) be the first derivative of -3*i**5/5 - 15*i**4/2 - 25*i**3 + 108*i + 223. Suppose j(d) = 0. What is d?
-6, -3, -2, 1
Let i(x) be the third derivative of 9*x**2 + 1/4*x**3 + 1/8*x**4 + 0*x + 1/20*x**6 + 0 - 7/40*x**5. Factor i(c).
3*(c - 1)**2*(4*c + 1)/2
Let r(q) = -q**2 - 40*q + 384. Let y be r(8). Let d(u) be the third derivative of -3*u**2 + 1/60*u**6 + 1/10*u**5 + 0*u**4 + y*u + 0 - 4/3*u**3. Factor d(f).
2*(f - 1)*(f + 2)**2
Let u(n) = n**4 + n**3 - n**2 + n. Let o(c) = 4*c**4 + 16*c**3 - 24*c**2 + 20*c - 4. Let j be ((-36)/4 - 2) + 0 + -1. Let g(k) = j*u(k) + 2*o(k). Factor g(z).
-4*(z - 2)*(z - 1)**3
Let i(l) be the third derivative of -l**5/20 + l**4/12 + l**3/6 - 3*l**