 + i*w**2 - 3 + 3*w - 3*w**4 - 6*w**3 = 0.
-1, 1
Let f(z) = z**2 + z + 1. Let a be (-1 - 0)*(-19 + 15). Let i(c) = 5*c**2 - 8*c + 40. Let t(y) = a*f(y) - i(y). Suppose t(x) = 0. What is x?
6
Let x(d) = 8*d**2 + 133*d + 38. Let i(w) = -8*w**2 - 134*w - 40. Suppose 6*a + 30 = 6. Let u(s) = a*x(s) - 3*i(s). Factor u(h).
-2*(h + 16)*(4*h + 1)
Suppose -35 = -121*f + 114*f. Let n(v) be the first derivative of -11 - 64*v - 8*v**4 - 64*v**2 - 32*v**3 - 4/5*v**f. Factor n(p).
-4*(p + 2)**4
Let j be 4624/336*14/48 - 4. Let v(w) be the second derivative of 0*w**3 + 0 + 0*w**2 + j*w**4 - 6*w. Factor v(k).
k**2/6
Let h(f) = 95*f**2 - 7390*f - 7415. Let u(n) = 8*n**2 - 616*n - 618. Let x(v) = -3*h(v) + 35*u(v). Find y, given that x(y) = 0.
-1, 123
Let b(l) = 2*l - 12. Let o be b(9). Suppose -o*a = 7 - 31. Factor -a*f**2 + 2/5*f**5 - 2/5 + 4*f**3 - 2*f**4 + 2*f.
2*(f - 1)**5/5
Suppose -2*k - 14 = -y, 7*k = 3*k + 12. Determine d so that 12*d - y*d + 12*d**4 + 13*d**4 + 6*d**3 - 23*d**4 = 0.
-2, 0, 1
Solve 124/3*m + 128/3 + 4/3*m**4 - 124/3*m**3 - 44*m**2 = 0 for m.
-1, 1, 32
Let o(t) be the first derivative of -9/4*t**4 - 9/2*t**2 + 2 + 6*t - 8*t**3. What is s in o(s) = 0?
-2, -1, 1/3
Let v = 3/1015 + 1006/3045. Factor v*b**4 - 1/3 + 2/3*b**3 - 2/3*b + 0*b**2.
(b - 1)*(b + 1)**3/3
Let d(j) be the first derivative of -j**4/14 - 10*j**3/21 - 8*j**2/7 - 8*j/7 - 96. Factor d(l).
-2*(l + 1)*(l + 2)**2/7
Suppose -5*h + 10*h + 55 = 0. Let d be -11 - -8 - h/1. Determine r, given that -5*r**2 - 16*r**4 + 9*r**2 - 48*r - d*r**4 + 4*r**4 + 48*r**3 + 16 = 0.
-1, 2/5, 1, 2
Solve 0 + 4/7*q + 1/7*q**5 + 13/7*q**3 - 12/7*q**2 - 6/7*q**4 = 0.
0, 1, 2
Suppose -3*b + 2 = -4. Suppose o + 15 = -4*o + 10*o. Factor 0*l**b - 2/3*l + 2/9*l**o + 4/9.
2*(l - 1)**2*(l + 2)/9
Factor 0 + 2/5*l**2 + 6/5*l.
2*l*(l + 3)/5
Let -40/11*o + 2/11*o**5 + 42/11*o**3 + 48/11 - 28/11*o**2 - 16/11*o**4 = 0. Calculate o.
-1, 2, 3
Suppose 3*w + c = -37, -47 = w + 2*w - c. Let h = w + 16. Solve o**h - 4*o + 15 - 2*o - 6 = 0 for o.
3
Suppose -3*d - 6*m = -3*m - 36, m - 76 = -5*d. Suppose -3*j = -0*j + 2*z - 12, 3*z - d = -4*j. Factor -1/3*t**j + 0*t - 1/3 + 0*t**3 + 2/3*t**2.
-(t - 1)**2*(t + 1)**2/3
Let d(c) = -c**2 + 4*c - 13*c + 5*c - c. Let x be d(-4). Factor 2/3*u**3 + x*u**2 + 6*u + 0.
2*u*(u + 3)**2/3
Suppose 8*l + 12 = 12*l. Determine f so that 6*f**3 + 6*f**2 + 3*f**4 - l*f**5 + 2*f**4 - 7*f**4 - 3*f - f**4 - 3 = 0.
-1, 1
Let k(o) be the first derivative of -2*o**3/3 - 9*o**2/2 + o - 3. Let b be k(-4). What is j in 7*j**3 - 15*j**2 - b + 6*j**3 + 15*j - 8*j**3 = 0?
1
Find u such that 2 + 23/3*u**2 + 71/3*u = 0.
-3, -2/23
Let z = -73/28 + 331/84. Let q be 1*(-12)/(-2) + -3. Factor -8/3*m + 5/3*m**2 + z - 1/3*m**q.
-(m - 2)**2*(m - 1)/3
Let w(p) = p**3 - 52*p**2 + 183*p - 120. Let a(k) = -5*k**3 + 210*k**2 - 730*k + 480. Let o(t) = 4*a(t) + 15*w(t). Suppose o(g) = 0. What is g?
1, 3, 8
Let x(b) = b**2 - 6*b - 2. Let n be x(6). Let y(d) = d**2 - d - 1. Let a(k) = -4*k**2 + 2*k + 5. Let c(m) = n*a(m) - 6*y(m). Solve c(r) = 0 for r.
-2, 1
Factor 14/11*q - 2/11*q**2 - 20/11.
-2*(q - 5)*(q - 2)/11
Let w(b) be the second derivative of -b**7/49 - 9*b**6/70 - 12*b**5/35 - b**4/2 - 3*b**3/7 - 3*b**2/14 - 3*b + 16. Find d, given that w(d) = 0.
-1, -1/2
Let h(a) be the third derivative of a**5/20 + 75*a**4/8 - 49*a**2. Find m, given that h(m) = 0.
-75, 0
Suppose -34 = -5*k + 391. Let l = -80 + k. Find x such that -12/5*x**2 - 22/5*x**4 + 2/5 - 28/5*x**3 - 6/5*x**l + 2/5*x = 0.
-1, 1/3
Let o be (-12)/(-1) - (-32)/(-8). Let w be (2/(-12) - -1)*o/10. Suppose -8/9*l + w + 2/9*l**2 = 0. What is l?
1, 3
Let m(l) = -3*l**3 + 76*l**2 + 50*l + 55. Let v be m(26). Let -3/2*t**v + 0 + 6*t**2 - 6*t = 0. What is t?
0, 2
Let t(l) be the first derivative of -21*l**4/4 + 10*l**3 - 9*l**2/2 - 19. What is z in t(z) = 0?
0, 3/7, 1
Let d = 572 - 8578/15. Determine x, given that d*x**2 + 0 + 4/15*x**3 + 2/15*x**4 + 0*x = 0.
-1, 0
Let t(o) = -o**3 - 6*o**2 - 5*o - 3. Let z be t(-6). Suppose -5*r = -4*k - 40, 3*r - k = 2*k + z. Determine b, given that 6*b**3 + 2*b**4 - b**r - 5*b**3 = 0.
-1, 0
Let p(b) be the first derivative of -b**6/2 + 39*b**5/5 - 99*b**4/4 + 31*b**3 - 15*b**2 - 30. What is m in p(m) = 0?
0, 1, 10
What is y in 939/4*y - 945/4*y**2 + 321/4*y**3 - 3/4*y**4 - 78 = 0?
1, 104
Let i(l) = -14*l**5 - 22*l**4 - 37*l**3 - 20*l**2 - 13*l - 11. Let q(g) = -g**5 - g**4 - 2*g**3 - g**2 - g - 1. Let v(a) = -2*i(a) + 22*q(a). Factor v(z).
2*z*(z + 1)**3*(3*z + 2)
Let k be 3/((-6)/(-5))*16/140. Let l(q) be the first derivative of -8 - 6/7*q + 2/21*q**3 - k*q**2. Suppose l(i) = 0. What is i?
-1, 3
Let m(f) = f**3 - 25*f**2 + 46*f. Let a be m(23). Let t(p) be the third derivative of 0 + a*p + 12*p**2 + 1/330*p**5 + 1/44*p**4 + 2/33*p**3. Solve t(j) = 0.
-2, -1
Suppose -y - 4*y = 3*y - 0*y. Factor 3/7*h**3 + y - 3/7*h**2 + 0*h.
3*h**2*(h - 1)/7
Let z(n) be the third derivative of -n**6/30 + n**5/15 + n**4/6 - 2*n**3/3 - 5*n**2 - 9. Factor z(d).
-4*(d - 1)**2*(d + 1)
Let j(u) be the third derivative of 1/28*u**4 + 0*u + 1/21*u**3 + 0 - 1/140*u**6 - 12*u**2 - 1/210*u**5. Let j(n) = 0. Calculate n.
-1, -1/3, 1
Let p be ((-672)/784)/(36/(-140)). Determine z, given that -5/2*z - 5/6*z**2 + p = 0.
-4, 1
Let n = -6 + 21. Let m = n - 12. Factor -3*k - k + 4 - 2*k**2 + m*k**2.
(k - 2)**2
Determine l so that -95/3*l + 1/2*l**2 + 21/2 = 0.
1/3, 63
Let s(m) be the third derivative of -m**5/570 + 3*m**4/38 - 32*m**3/57 + 122*m**2 - 4*m. Factor s(a).
-2*(a - 16)*(a - 2)/19
Factor 46/15*j + 0 - 2/15*j**2.
-2*j*(j - 23)/15
Suppose j = -2*b - 4*j + 19, 3*b = -3*j + 6. Let s be b/8 - (-522)/240. Find u such that -12/5 - 12/5*u**3 + 3/5*u**4 + s*u**2 + 12/5*u = 0.
-1, 1, 2
Let y(t) be the second derivative of 9/2*t**3 + 0 + 17*t - 243/4*t**2 - 1/8*t**4. Factor y(j).
-3*(j - 9)**2/2
Let c(d) = d**3 + 114*d**2 - 4336*d + 54870. Let p(v) = v**3 - 2*v - 1. Let j(r) = -c(r) + 2*p(r). Factor j(x).
(x - 38)**3
Let x(l) be the third derivative of 8*l**5/25 - 19*l**4/20 + 3*l**3/5 + 34*l**2 + 5. Let x(d) = 0. What is d?
3/16, 1
Let b be 1 + 3 - 50/(-45)*3/(-5). Suppose b*o + 0 + 5*o**2 + 5/3*o**3 = 0. What is o?
-2, -1, 0
Let p be 3/15 - (-876)/(-30). Let t = p - -66. Let -37*w - 5*w**2 + 5*w**5 - 15*w**4 + 15*w**3 + t*w = 0. Calculate w.
0, 1
Let x(d) = -d + 1. Let z be x(-2). Suppose -2*w = 4*i - 4, -i + 6*i + 3*w - z = 0. Factor -8*p + 6 - 3*p**4 + 9*p**i - 11*p**2 - p + 8*p**2.
-3*(p - 2)*(p - 1)**2*(p + 1)
Let p(z) = -z**2 - 10*z - 8. Let a be p(-7). Find j, given that 2*j**2 - 24*j**3 - 22*j**2 - a*j**2 + 12*j**4 - 4*j - 5*j = 0.
-1/2, 0, 3
Find j such that 23578*j + 46*j**2 + 646*j**2 + 6694*j + 4*j**3 + 29584 = 0.
-86, -1
Let 71*h**3 - 7*h - 11*h + 75*h**3 - 144*h**3 = 0. Calculate h.
-3, 0, 3
Let y(s) be the third derivative of -2*s**2 + 0*s**3 + 6*s + 0 + 1/600*s**6 + 1/40*s**4 + 1/75*s**5. Find v, given that y(v) = 0.
-3, -1, 0
Let x(s) be the first derivative of -s**3 - 546*s**2 - 99372*s - 89. Factor x(f).
-3*(f + 182)**2
Let x = 2/25 + -3/100. Let k(d) be the first derivative of -2/15*d**3 - 1/10*d**2 + 1 - x*d**4 + 0*d. Solve k(u) = 0 for u.
-1, 0
Let q = 6 + 0. Suppose -159 = -10*t + 311. Determine z, given that -5*z + 12 - 2*z**2 + 42*z - 15*z**4 - q*z**3 + t*z**2 + 11*z = 0.
-1, -2/5, 2
Let a(v) = -14*v**2 + 1. Let h(x) = -79*x**2 - 308*x - 199. Let n(q) = 3*a(q) + h(q). Solve n(p) = 0.
-14/11
Let w(y) be the first derivative of y**2 + 26 - 1/6*y**3 - 1/8*y**4 + 2*y. Determine t, given that w(t) = 0.
-2, -1, 2
Let j(t) be the first derivative of 2*t**5/45 - 2*t**3/27 + 89. Factor j(k).
2*k**2*(k - 1)*(k + 1)/9
Suppose -96*k + 125 + 43 = -40*k. What is v in -12/13 + 22/13*v + 2/13*v**k - 12/13*v**2 = 0?
1, 2, 3
Determine w so that w - 1/2*w**3 + 0 + 1/2*w**2 = 0.
-1, 0, 2
Suppose 105*i - 47*i = 36*i. Factor 1/9*x**2 + 1/9*x + i.
x*(x + 1)/9
Let v(m) be the first derivative of 0*m - 1/13*m**2 - 20 - 2/39*m**3. Factor v(i).
-2*i*(i + 1)/13
Suppose -36*w**3 + 13*w**5 + 6*w**2 + 6*w**2 - 3*w**4 - 4*w**5 = 0. Calculate w.
-2, 0, 1/3, 2
Let h(q) = -4 + q**4 + 0*q**2 - q**2 + 2. Let d(s) = 2*s**4 - s**3 - s**2 - 3. Let n be 2 + -2 - (9/3 - 9). Let r(o) = n*h(o) - 4*d(o). Solve r(p) = 0 for p.
0, 1
Let f = 27 + -22. Find x, given that 4*x**3 - 5