 = -11*a(u) - 6*v(u). Solve d(i) = 0.
-2/5, 1, 2
Solve 1/3*x**2 + 14/3 + 5*x = 0 for x.
-14, -1
Suppose -2*a = 2*p - 14, -p - 11 = -2*a - 2*p. Let c = 13547 - 13545. Factor -q**c - 1/5*q**a + 2/5*q + 0 + 4/5*q**3.
-q*(q - 2)*(q - 1)**2/5
Suppose 11*q - 8*q = -5*w + 15, -8*w = -24. Factor 0*z**3 + 2/7*z + 4/7*z**4 + q - 4/7*z**2 - 2/7*z**5.
-2*z*(z - 1)**3*(z + 1)/7
Let o = 126 - 124. Solve 13 + 8 + 2*k - 23 + o*k**2 + 2*k**2 = 0.
-1, 1/2
Let r(x) = -8*x**2 + 28*x - 33. Let q(g) = 9*g**2 - 29*g + 34. Let j(z) = 3*q(z) + 4*r(z). Suppose j(u) = 0. Calculate u.
2, 3
Let d be 84/(-98)*238/(-3). Suppose 27*c - d = 10*c. Find u, given that 0 + 4/3*u**2 - c*u = 0.
0, 3
Suppose w + 9 = 4*w. Let v be w/(4/(32/6)). Factor 36*y**3 - 4*y**2 + 7*y - 13*y + 21*y**v + 13*y**2.
3*y*(y + 1)**2*(7*y - 2)
Suppose f - 4*w = -f, 33 = -5*f - w. Let i be (-3)/(-3 - 0) + f/10. What is b in 2/5*b**2 + 0*b - 4/5*b**3 + i*b**4 + 0 = 0?
0, 1
Suppose -18*j = 111 - 291. Suppose q - v - 4*v = 0, -4*v = 5*q - 58. Factor q + 5/2*l**2 + j*l.
5*(l + 2)**2/2
Determine w so that -28*w**2 + 48*w + 145*w**2 - 3*w + 66*w**2 + 12*w**3 + 0*w**3 = 0.
-15, -1/4, 0
Let q(k) = -3*k**2 + 20. Suppose -4*h + 25 = -7. Let y(s) = -2*s**2 - 4 + 10 + 7. Let i(j) = h*y(j) - 5*q(j). Find f such that i(f) = 0.
-2, 2
Let b = 223/126 + -65/42. Factor 10/9*z - 4/9 - b*z**2 - 4/9*z**3.
-2*(z - 1)*(z + 2)*(2*z - 1)/9
Let k = 700 + -698. Suppose -2/9*p**4 + 0*p**k + 2/9 + 4/9*p**3 - 4/9*p = 0. What is p?
-1, 1
Let f(t) be the third derivative of -t**7/315 + 2*t**6/45 - 7*t**5/90 - 292*t**2. Suppose f(w) = 0. Calculate w.
0, 1, 7
Let d = -10562/45 - -1178/5. Solve d*v**3 + 0 - 10/9*v**2 + 2/9*v = 0.
0, 1/4, 1
Let f(y) be the second derivative of 7*y**4/4 - 37*y**3/2 + 15*y**2 - y + 44. Factor f(p).
3*(p - 5)*(7*p - 2)
Let u(p) = -4 - p + 12 - 7 - 4. Let w be u(-6). Suppose -2*s**2 + 9/4*s**4 + 3/2*s - 1/2*s**w - 1/4 - s**5 = 0. Calculate s.
-1, 1/4, 1
Let c(m) = -5*m**3 - 15*m**2 - 14. Let z(u) = -2*u**3 - 8*u**2 - 6. Let s(p) = -6*c(p) + 14*z(p). Find r, given that s(r) = 0.
0, 11
Let z(f) be the first derivative of -f**4/30 + f**3/15 + 2*f**2/5 - 13*f + 11. Let a(j) be the first derivative of z(j). Let a(i) = 0. Calculate i.
-1, 2
Let w = -1/1635 + 547/3270. Let h(q) be the first derivative of 0*q + 1/24*q**4 - 1/18*q**3 - 6 - w*q**2. What is x in h(x) = 0?
-1, 0, 2
Factor 40481 + 38804 - 4*y**2 - 321349 - 1968*y.
-4*(y + 246)**2
Let p(m) be the third derivative of -m**8/1680 - m**7/630 - 2*m**4/3 + 10*m**2. Let n(v) be the second derivative of p(v). Determine g so that n(g) = 0.
-1, 0
Factor -4*f**3 - 4/3*f**4 + 26/3*f + 2/3*f**5 + 4 + 8/3*f**2.
2*(f - 3)*(f - 2)*(f + 1)**3/3
Let v(w) = 37*w**3 + 1 - 23*w**3 - w**4 - w**2 - 14*w**3. Let q(h) = -7*h**4 - h**3 - 6*h**2 + 6. Let j(b) = q(b) - 6*v(b). Find c, given that j(c) = 0.
-1, 0
Let b(r) = 26*r**5 - 26*r**4 - r**3 + 18*r**2 + 26*r - 26. Let k(j) = -9*j**5 + 9*j**4 - 6*j**2 - 9*j + 9. Let n(p) = -6*b(p) - 17*k(p). Factor n(h).
-3*(h - 1)**3*(h + 1)**2
Let h be 4/(32/(-44)) - -6. Let d(c) be the first derivative of 0*c + 4 + c**2 - h*c**4 + c**3. Factor d(p).
-p*(p - 2)*(2*p + 1)
Let i(z) = 11*z**4 - 3*z**3 + 40*z**2 - 13*z - 13. Let l(p) = 5*p**4 - 2*p**3 + 20*p**2 - 6*p - 6. Let b(g) = 6*i(g) - 13*l(g). Determine h so that b(h) = 0.
-10, 0, 2
Let b be (29/(13195/(-117)))/((-6)/40). Find y, given that -24/7*y**4 + 0 - 22/7*y**3 + b*y + 2*y**2 = 0.
-1, -2/3, 0, 3/4
Let x(s) be the second derivative of 3*s + 0*s**2 - 1/220*s**5 - 1/44*s**4 - 1/33*s**3 + 0. Factor x(w).
-w*(w + 1)*(w + 2)/11
Suppose 8*c**4 + 14*c**5 + 130*c**3 - 2205*c - 38*c**5 + 19*c**5 - 48*c**4 + 840*c**2 = 0. Calculate c.
-7, 0, 3
Let k = -341/2 - -171. Let w be (-8 + 7)*-2*(1 + 0). Factor -1/4 - k*i - 1/4*i**w.
-(i + 1)**2/4
Let c(x) be the second derivative of -448*x**6/15 + 232*x**5/5 - 53*x**4/2 + 6*x**3 - 80*x. Factor c(h).
-2*h*(7*h - 2)*(8*h - 3)**2
Find r such that -33*r**3 + 20*r**4 - 34*r**3 + 16*r**5 + 92*r - 44*r**2 - 41*r**3 + 24 = 0.
-3, -1, -1/4, 1, 2
Let v = -281 - -284. Let c(f) be the first derivative of -4 + 0*f + 2/3*f**2 - 2/3*f**v. Determine u so that c(u) = 0.
0, 2/3
Let u(g) be the first derivative of -g**5/35 + g**4/4 - 13*g**3/21 - 3*g**2/14 + 18*g/7 + 112. Let u(k) = 0. What is k?
-1, 2, 3
Let g(l) be the first derivative of -5*l**3/3 - 35*l**2 - 245*l + 51. Factor g(a).
-5*(a + 7)**2
Factor -39*c**3 - 6*c**4 + 10*c**4 + 27*c**3.
4*c**3*(c - 3)
Find q, given that 3*q - 12*q + 3*q**2 - 2*q**2 + 8*q = 0.
0, 1
Suppose -6*d + 1 = -23. Let b(y) = 2*y**2 + 0 - y**2 + 1 - y**3 + y. Let l(o) = 3*o**3 - 4*o**2 - 4*o - 4. Let a(x) = d*b(x) + l(x). Factor a(h).
-h**3
Let -1/4*h**5 - 9/2*h + 11/4*h**3 + 0 + 9/4*h**2 - 1/4*h**4 = 0. What is h?
-3, -2, 0, 1, 3
Factor -10/7*u**2 - 31/7*u - 1/7*u**3 - 30/7.
-(u + 2)*(u + 3)*(u + 5)/7
Let g(a) = -4*a**3 + 2*a**2 + 13*a + 4. Let r(f) = 8*f**3 - 2*f**2 - 23*f - 8. Let i(d) = 5*g(d) + 3*r(d). Let i(h) = 0. What is h?
-1, 1
Let m(g) be the first derivative of -2*g**3 + 19*g**2/2 - 14*g + 461. Let m(o) = 0. Calculate o.
7/6, 2
Factor -32*x + 27 + 1 - 4*x**4 + 32*x**3 + 17*x**2 - 41*x**2.
-4*(x - 7)*(x - 1)**2*(x + 1)
Let z(j) be the first derivative of -3/5*j**5 - 9 - 3*j**3 + 0*j + 3/2*j**2 + 9/4*j**4. Factor z(q).
-3*q*(q - 1)**3
Find o, given that -6/5*o**3 + 6/5*o + 12/5*o**2 - 9/5 - 3/5*o**4 = 0.
-3, -1, 1
Let y(h) be the second derivative of h**7/21 - 22*h**6/75 + 14*h**5/25 - 4*h**4/15 + 198*h. Suppose y(g) = 0. What is g?
0, 2/5, 2
Factor 15*k**2 - 91*k**2 + 24*k**2 - 13 + 73 - 324*k + 19*k**2.
-3*(k + 10)*(11*k - 2)
Let q = 17 + -10. Factor 14*u**2 - q*u**2 - 2*u**2 - 5*u.
5*u*(u - 1)
Let l(m) be the second derivative of 5*m**7/42 - 2*m**6/5 - 14*m**5/5 + 56*m**4/3 - 40*m**3 + 32*m**2 - 8*m. Factor l(r).
(r - 2)**3*(r + 4)*(5*r - 2)
Find y, given that 63/5*y + 1/5*y**2 - 64/5 = 0.
-64, 1
Let a be (15/15)/((-9)/(-3) - 0). Factor 2/3*b**2 + 1/3*b - a.
(b + 1)*(2*b - 1)/3
Let k be 3/9 - 10/(720/(-88)). Factor -k*b**5 + 0*b**2 + 0*b + 4/9*b**3 - 10/9*b**4 + 0.
-2*b**3*(b + 1)*(7*b - 2)/9
Suppose 0 = -4*q - 52 + 92. Suppose 5*w = 10 + q. Factor h**3 + 2/3*h**2 - 4/3*h**w - 4/3*h**5 - 1/3*h + 0.
-h*(h + 1)**2*(2*h - 1)**2/3
Let a(x) be the first derivative of 0*x**2 + 3/4*x**4 + 0*x + 24 - 1/8*x**6 + x**3 - 3/20*x**5. Determine d, given that a(d) = 0.
-2, -1, 0, 2
Let a(f) be the third derivative of -9/40*f**5 - 21*f**2 + 0*f + 0 - 1/140*f**7 - 1/2*f**3 + 1/16*f**6 + 7/16*f**4. Factor a(v).
-3*(v - 2)*(v - 1)**3/2
Suppose 124 = -4*x + 132. Let j(u) be the first derivative of 4/3*u**3 + 3/2*u**4 + 2/5*u**5 + 0*u**x + 6 + 0*u. Factor j(c).
2*c**2*(c + 1)*(c + 2)
Let k(i) be the third derivative of i**7/4620 + i**6/1980 - i**5/660 - i**4/132 + 2*i**3 - 3*i**2. Let v(o) be the first derivative of k(o). Factor v(m).
2*(m - 1)*(m + 1)**2/11
Factor 6*a - 7921 + a**2 + 126*a - 2*a - 2*a**2 + 48*a.
-(a - 89)**2
Let p(l) = 17*l**4 - 46*l**3 + 3*l**2 + 68*l - 4. Let t(v) = 34*v**4 - 94*v**3 + 6*v**2 + 136*v - 8. Let b(m) = -5*p(m) + 3*t(m). Suppose b(h) = 0. What is h?
-1, 1/17, 2
Let c(v) = -v**3 + 7*v**2 - 2*v + 17. Let p be c(7). Let b(i) be the first derivative of 0*i + 1 + 4/27*i**p + 0*i**2 + 1/18*i**4. Factor b(w).
2*w**2*(w + 2)/9
Let q = -87 + 150. Let u be (-6)/20*7/(q/(-5)). Solve -1/2*l**2 - 1/6*l + 1/6*l**4 + 1/3 + u*l**3 = 0 for l.
-2, -1, 1
Suppose 120*c - 4 + 5 - 1 = 0. Factor 0*l**2 - 2/5*l**5 - 4/5*l**4 - 2/5*l**3 + 0 + c*l.
-2*l**3*(l + 1)**2/5
Let 0 + 0*f - 1/4*f**4 + 1/4*f**2 + 0*f**3 = 0. Calculate f.
-1, 0, 1
Suppose -3 + 118*i**3 + 11*i**2 - i**4 + 11 - 118*i**3 - 18*i = 0. Calculate i.
-4, 1, 2
Let o(j) be the second derivative of -j**7/280 + j**6/30 - j**5/8 + j**4/4 - j**3 - j. Let k(r) be the second derivative of o(r). Suppose k(g) = 0. Calculate g.
1, 2
Suppose 2*b + 5 = 3*k, b - 2*k - 4 = -4*b. Let g be b/(-6)*(-9 + 6). Factor -3*q - 4*q**2 + q**3 + 1 + 2*q + g + 2*q**2.
(q - 2)*(q - 1)*(q + 1)
Let b(x) be the second derivative of -3*x**6/40 - 3*x**5/40 + x**4/6 + x**3/4 + x**2/8 - x + 74. Suppose b(q) = 0. Calculate q.
-1, -1/3, 1
Let i = 1599 + -1591. Let c(d) be the first derivative of 3*d**4 - 4/3*d**3 - 4/5*d**5 + i*d + 2 - 6*d**2. Find h, given that c(h) = 0.
-1, 1, 2
Let q(t) be the second deri