(c) = 0?
-1, 4
Suppose 3*j + 0*j - 21 = 4*f, -3 = f. Let m = j + -1. Factor -p + m*p + 1 + p + p**2.
(p + 1)**2
Suppose 6 = 4*w - 2. Factor 4*n**3 + 3*n**2 - 4*n - n**w - 2*n**2.
4*n*(n - 1)*(n + 1)
Determine u, given that 33 + 10*u - 2*u**2 + u**2 - 42 = 0.
1, 9
Let w = 582 + -579. Factor -8/17*i + 200/17*i**w - 110/17*i**2 + 8/17.
2*(4*i + 1)*(5*i - 2)**2/17
Factor 9/8*o**3 - 3/4*o**2 + 0 - 3/8*o**4 + 0*o.
-3*o**2*(o - 2)*(o - 1)/8
Let g(f) = -2*f - 3. Let m be g(-6). Suppose m*z = 3*z. Suppose -1/2 + 0*t**3 - 1/2*t**4 + z*t + t**2 = 0. What is t?
-1, 1
Factor r + r + 6*r**2 + 5*r**4 - 3*r**4 + 0*r**2 + 6*r**3.
2*r*(r + 1)**3
Factor 3*c**2 - 8*c**3 + 4*c**5 + 4*c + 4*c**4 + 3 - 11*c**2 + 1.
4*(c - 1)**2*(c + 1)**3
Solve 0 + 3/2*d**2 - 3/2*d**5 + 0*d + 3/2*d**3 - 3/2*d**4 = 0.
-1, 0, 1
Let x(v) = 11*v**2 - 65*v + 23. Let s(b) = -b**2 + b + 1. Let r(d) = -s(d) - x(d). Factor r(o).
-2*(o - 6)*(5*o - 2)
Suppose 24*r = 20*r + 12. Suppose 3*u**2 - 3/2*u**r + 3/2*u - 3 = 0. Calculate u.
-1, 1, 2
Let t be (-3)/(-4) - (-26)/8. Factor -5*s**3 - t*s**2 - 3*s + s**2 + 5*s.
-s*(s + 1)*(5*s - 2)
Let b be (-276)/30 + 9 + 1. Find h, given that b*h**2 + 0 + 22/15*h**3 + 2/5*h**4 + 0*h = 0.
-3, -2/3, 0
Let v = -28/279 + 10/31. Factor v*f**2 + 4/9 - 2/3*f.
2*(f - 2)*(f - 1)/9
Let u(b) be the third derivative of b**6/2340 + b**5/195 + b**4/39 - b**3/3 + 4*b**2. Let z(d) be the first derivative of u(d). Determine w so that z(w) = 0.
-2
Let d be 15/2*30/25. Determine k so that -4 - 3*k + 19*k**2 + 12*k**4 - 7*k**2 - 26*k**3 + d*k = 0.
-1/2, 2/3, 1
Let d(l) be the third derivative of -1/378*l**8 + 0*l + 1/540*l**6 + 0*l**3 - 1/315*l**7 + l**2 + 0 + 0*l**4 + 0*l**5. Solve d(i) = 0 for i.
-1, 0, 1/4
Let t = 7 - 2. Let o(h) be the third derivative of -1/120*h**6 + 0*h - 1/3*h**4 - 1/12*h**t - 2*h**2 - 2/3*h**3 + 0. Let o(f) = 0. What is f?
-2, -1
Let m = 19/92 + 1/23. Suppose -4*o + f - 4 = 3*f, 3*o - 3*f = 6. Factor o*d - m*d**2 + 0.
-d**2/4
Let k(r) be the first derivative of -1/3*r**3 - 1/2*r - 5/8*r**2 - 1/16*r**4 - 8. Find t, given that k(t) = 0.
-2, -1
Let v(c) be the third derivative of 1/140*c**6 + 0*c**4 - 1/105*c**5 + 0*c + 0 + 9*c**2 - 1/1176*c**8 + 0*c**3 + 0*c**7. Determine h so that v(h) = 0.
-2, 0, 1
Suppose 6*a - 5 = 19. Determine m so that -4*m**3 - 2*m**2 - 4*m**4 + 2*m**a + 0*m**2 = 0.
-1, 0
Let d(w) = 4*w**5 + 6*w**4 + w**3 - 6*w**2 - 5*w. Let i(o) = 5*o**5 + 7*o**4 + o**3 - 7*o**2 - 6*o. Let u(l) = 6*d(l) - 5*i(l). Factor u(a).
-a**2*(a - 1)**2*(a + 1)
Let n(u) be the second derivative of -1/30*u**4 + 0 + 4*u + 4/15*u**3 - 4/5*u**2. Factor n(g).
-2*(g - 2)**2/5
Let g(i) be the second derivative of -i**8/560 + i**6/60 - i**4/8 - 5*i**3/6 + 5*i. Let r(f) be the second derivative of g(f). Factor r(x).
-3*(x - 1)**2*(x + 1)**2
Suppose 8*b - 14 - 2 = 0. Factor 1/7*a**b + 0 - 3/7*a.
a*(a - 3)/7
Let p = 64 - 62. Let c(n) be the second derivative of 0*n**3 - 1/135*n**6 + 0*n**4 + 0 - 1/90*n**5 + 3*n + 0*n**p. Factor c(u).
-2*u**3*(u + 1)/9
Let y(x) = 6 - 9*x + 5*x + x + 0*x**2 + 6*x**2. Let g(q) = q**2 - q + 1. Suppose 10 = -5*v - 40. Let f(r) = v*g(r) + 2*y(r). Factor f(t).
2*(t + 1)**2
Let v(k) be the first derivative of -k**3/3 - 2*k**2 - 4*k - 7. Factor v(t).
-(t + 2)**2
Let n(b) = 2*b**5 + 3*b**4 + 7*b**3 - b**2 - 6*b - 2. Let z(g) = 6*g**5 + 8*g**4 + 22*g**3 - 2*g**2 - 18*g - 6. Let v(w) = -10*n(w) + 3*z(w). Factor v(u).
-2*(u - 1)*(u + 1)**4
Factor 18*f + 50/3*f**3 - 30*f**2 - 18/5.
2*(5*f - 3)**3/15
Let l(n) = n**3 - 8*n**2 + n - 1. Let m be l(8). Factor 10*f**3 - 3*f**5 - m*f**3 + 0*f**5.
-3*f**3*(f - 1)*(f + 1)
Let v(p) be the third derivative of -p**5/60 - p**4/24 + 7*p**2. Solve v(a) = 0 for a.
-1, 0
Let p(z) = -z**2 - 5*z + 16. Let g be p(-7). Let i = -48 - -243/5. Factor -12/5 - i*c**g + 12/5*c.
-3*(c - 2)**2/5
Let z(m) = 5*m**2 + 2*m + 4. Let j be 2/(-8) + 114/(-24). Let k be z(j). Factor -243*g**3 - 63*g - k*g + 24 + 81*g**4 + 90*g**2 + 180*g**2 + 50*g.
3*(g - 1)*(3*g - 2)**3
Let g = 76 + -43. Let v be g/(-12) - 12/(-4). Factor 1/4*p**5 + 1/2*p**2 - 3/4*p**4 + 1/2*p**3 + v - 3/4*p.
(p - 1)**4*(p + 1)/4
Let y(s) be the third derivative of -1/480*s**6 + 1/96*s**4 + 0 + 1/24*s**3 - 1/240*s**5 + 0*s + 2*s**2. Factor y(w).
-(w - 1)*(w + 1)**2/4
Let g(s) = -s**4 - s**3 + s**2 + s - 1. Let w(b) = -6*b**4 + 11*b**3 - 9*b**2 + 4*b - 2. Let q be (4/6)/(6/36). Let o(v) = q*g(v) - 2*w(v). Solve o(u) = 0.
0, 1/4, 1, 2
Determine l, given that -l**4 + 1 - 6*l**3 + 2*l - l**3 - 6*l**3 + 11*l**3 = 0.
-1, 1
Let j(w) = w**2 - 3*w + 2. Let n be j(3). Let 2*d**3 + d**4 + 2*d**2 - d + d**3 - 3*d**2 - n*d**3 = 0. What is d?
-1, 0, 1
Factor 0 + 7*z + 5*z**3 - 10 - z - 21*z.
5*(z - 2)*(z + 1)**2
Let q be (-30)/(-120)*(-2 + 3). Suppose 0 - 1/2*s**2 + 1/4*s**3 + q*s = 0. What is s?
0, 1
Let n = 77 - 384/5. Factor 0 + n*h**3 - 1/5*h**2 - 1/5*h + 1/5*h**4.
h*(h - 1)*(h + 1)**2/5
Suppose -5*m + 111 + 21 = 4*z, 5*m - 3*z - 146 = 0. Let 2 + m*d**2 - 25*d**2 - 5 = 0. What is d?
-1, 1
Let l be 3/(-3) - (-4 + 3). Let v be 13/6 - (-1)/(-6). Solve -14/5*f**5 + 18/5*f**3 + v*f**2 - 2*f**4 - 4/5*f + l = 0.
-1, 0, 2/7, 1
Let n(j) = -j - 1. Let p(c) = 5*c**2 - 15*c - 14. Let r(i) = -4*i**2 + 14*i + 14. Let f(k) = 6*p(k) + 7*r(k). Let u(g) = -f(g) - 12*n(g). Factor u(o).
-2*(o - 1)**2
Let r(l) be the first derivative of l**6/2 + 9*l**5/5 + 3*l**4/4 - 3*l**3 - 3*l**2 + 2. Suppose r(c) = 0. What is c?
-2, -1, 0, 1
Let a = -378 - -1894/5. Factor a + 6/5*s + 2/5*s**2.
2*(s + 1)*(s + 2)/5
Let o(s) be the third derivative of -s**5/270 - s**4/27 - 4*s**3/27 - 4*s**2. Suppose o(p) = 0. Calculate p.
-2
Let j = -35 + 37. Let u(r) be the first derivative of 3 - r**2 + 0*r - j*r**3 - 3/2*r**4 - 2/5*r**5. Solve u(i) = 0.
-1, 0
Let p(l) be the third derivative of -l**11/166320 + l**10/37800 - l**9/30240 - l**5/60 - l**2. Let q(a) be the third derivative of p(a). Solve q(t) = 0.
0, 1
Factor 0*f**4 + 10*f - 8 - 5*f**4 + 6*f**2 - 10*f**3 + 7*f**4.
2*(f - 4)*(f - 1)**2*(f + 1)
Let n(l) = -24*l**4 - 27*l**3 + 8*l**2 + 27*l + 3. Let g(t) = -6*t**4 - 7*t**3 + 2*t**2 + 7*t + 1. Let w(m) = 26*g(m) - 6*n(m). Let w(o) = 0. Calculate o.
-1, -2/3, 1
Suppose -11*m + 10*m = -4. Solve 2/7*l**3 + 0*l + 2/7*l**m + 0 + 0*l**2 = 0 for l.
-1, 0
Let z = -9 + 11. Suppose j = -3*b - z*b - 23, j + 2*b = -8. Find r, given that 2/5*r - 1/5 + 0*r**j - 2/5*r**3 + 1/5*r**4 = 0.
-1, 1
Let w(s) be the first derivative of -2*s**3/3 + 8*s**2 - 32*s + 6. Factor w(z).
-2*(z - 4)**2
Let t(f) = -2*f**2. Let q(y) = 2*y**2 - y. Let d(z) = 6*q(z) + 7*t(z). Factor d(m).
-2*m*(m + 3)
Determine z so that 13*z - 21*z + 13*z + 5*z**4 - 5*z**2 - 5*z**3 = 0.
-1, 0, 1
Let 243*l**4 + 5 - 238*l**4 + 6*l**2 - 16*l**2 = 0. Calculate l.
-1, 1
Let k(p) be the third derivative of -3*p**7/280 - 11*p**6/160 - 3*p**5/20 - p**4/8 - 26*p**2. Solve k(x) = 0.
-2, -1, -2/3, 0
Let w(o) be the third derivative of 0*o**5 + 0*o**3 - 4*o**2 + 0*o**4 + 0 + 1/56*o**8 - 1/70*o**7 - 1/40*o**6 + 0*o. Factor w(k).
3*k**3*(k - 1)*(2*k + 1)
Let n be (-3)/(-20) + 1/4. Factor 0*l - n + 2/5*l**2.
2*(l - 1)*(l + 1)/5
Let x(r) = -r**3 - 6*r**2 + 8*r + 3. Let w be x(-7). Let o be (-1)/w*4 - -2. Find s, given that 0 - 1/6*s**5 - 1/6*s - 2/3*s**2 - 2/3*s**4 - s**o = 0.
-1, 0
Let u(j) be the third derivative of 0*j - 1/126*j**7 + 0 + 3*j**2 - 1/18*j**5 - 1/1008*j**8 - 1/18*j**3 - 5/72*j**4 - 1/36*j**6. Let u(l) = 0. Calculate l.
-1
Let d be (-1)/(-2) + (-3)/(-2). Suppose 1 - 3*g**2 + g**d + 3*g**2 + 2*g = 0. Calculate g.
-1
Let n be ((-2)/(-7))/((0 - 8) + 9). Solve -4/7 + 2/7*z**2 - n*z = 0.
-1, 2
Suppose -s - 44 = 5*z, 4*s - 3*s - z + 14 = 0. Let f = s - -21. Factor -2/3*p**3 + 4/3 + 0*p**f + 2*p.
-2*(p - 2)*(p + 1)**2/3
Suppose 3*w + 1 + 2 = z, -3*z + 2*w + 9 = 0. Let s = -1/44 + 181/220. What is o in 2*o**5 + 24/5*o**4 + 0*o + s*o**2 + 0 + 18/5*o**z = 0?
-1, -2/5, 0
Let x = 3 + -1. Let d be -1*(-9)/(-15) - 12/(-20). Let d - 1/3*m + 1/3*m**x = 0. What is m?
0, 1
Let k(g) = g**3 + 37*g**2 - 41*g - 114. Let n be k(-38). Factor 2/9*z + 2/9*z**2 + n.
2*z*(z + 1)/9
Let m(n) be the first derivative of -1 + 52/9*n**2 - 220/27*n**3 + 25/6*n**4 - 16/9*n. Factor m(s).
2*(3*s - 2)*(5*s - 2)**2/9
Let g(j) = -j**3 + 5*j**2 - 4*j + 3. Let u = 13 - 9. Let d be g(u). Factor -1/3*m**d + 