*2 - 5*j - 20. Let l(t) = 2*c(t) + 27*s(t). Suppose l(y) = 0. What is y?
-2, 3
Factor 1/6*s**2 + 1/6*s + 0.
s*(s + 1)/6
Suppose -4*r + r = 72. Let f be 15/(-2)*4/r. Suppose -1/4*m**3 - f*m + m**2 + 1/2 = 0. What is m?
1, 2
Let z = -3787/779 + 97/19. Let q = 214/205 - z. Let -q + 2/5*s + 2/5*s**2 = 0. Calculate s.
-2, 1
Suppose -2*r + 2*c + 4 = -r, c = 0. Suppose 3*n - 2 = r. What is j in 0*j + 2/7 - 2/7*j**n = 0?
-1, 1
Let o(p) be the first derivative of -2*p**3/9 - 5*p**2/3 - 4*p - 23. What is v in o(v) = 0?
-3, -2
Let d(f) be the third derivative of -f**11/554400 + f**9/100800 - f**5/60 - 4*f**2. Let w(g) be the third derivative of d(g). Factor w(u).
-3*u**3*(u - 1)*(u + 1)/5
Let v = 435 + -2163/5. Factor v*f**2 + 0 + 18/5*f**3 + 2/5*f + 8/5*f**4.
2*f*(f + 1)**2*(4*f + 1)/5
Let x(u) = -3*u**2 + u + 5. Let c(t) = -2*t**2 + t + 3. Let s(y) = 5*c(y) - 3*x(y). Find a such that s(a) = 0.
0, 2
Let d(l) = 2*l**2 + 6. Suppose -17 = -5*v + 4*j, 5*v - 2*j - 8 = -j. Let y be (v + 1)*(-4)/8. Let c(g) = -g - 1. Let t(p) = y*d(p) - 4*c(p). Solve t(r) = 0.
1
Let v(x) be the first derivative of -x**4/12 - x**3/2 - 10*x + 10. Let a(h) be the first derivative of v(h). Solve a(o) = 0.
-3, 0
Let z(v) = -v**2 - 9*v + 3. Let w be z(-9). Factor 10*f**4 + 17*f**2 + 4*f**3 - 4*f - w*f**2 - 22*f**3 - 2*f**5.
-2*f*(f - 2)*(f - 1)**3
Suppose -24 + 6*y + 18*y - 6*y + 18*y - 18*y**2 + 3*y**3 = 0. What is y?
2
Solve 27 - 21*k**5 - 27 + k**5 + 8*k**2 + 48*k**4 - 36*k**3 = 0.
0, 2/5, 1
Suppose 120 = -140*o + 164*o. Suppose 0 + 0*j**2 + 1/4*j**3 + 0*j + 1/4*j**o + 1/2*j**4 = 0. What is j?
-1, 0
Let k(d) = d**2 + 7*d - 6. Let m be k(-8). Let f(g) be the first derivative of -1/3*g**2 - 1/9*g**6 + 8/9*g**3 + 0*g - m - g**4 + 8/15*g**5. Factor f(n).
-2*n*(n - 1)**4/3
Factor i + 9/7*i**2 - 2/7.
(i + 1)*(9*i - 2)/7
Let j(t) be the first derivative of 2*t**3/9 - 2*t**2/3 + 1. Determine c, given that j(c) = 0.
0, 2
Suppose -13*n + 54 = 5*n. Let o(y) be the first derivative of -1 + 1/12*y**n - 1/4*y**2 + 1/4*y. Factor o(w).
(w - 1)**2/4
Factor 21/5*f**2 - 12/5 - 9/5*f**3 + 0*f.
-3*(f - 2)*(f - 1)*(3*f + 2)/5
Suppose -2/3*i**2 + 2/3 + 2/3*i**3 - 2/3*i = 0. Calculate i.
-1, 1
Factor -19/3*v**3 + v + v**4 + 31/3*v**2 - 6.
(v - 3)**2*(v - 1)*(3*v + 2)/3
Suppose 2*z + 4*u - 2 = 0, 3*z = 7*u - 4*u + 12. Factor 0*p + 0 - 1/4*p**z - 3/4*p**2.
-p**2*(p + 3)/4
Suppose 3*i = 5*j - 1, 0 = -0*j - j + i - 1. Factor 1/2*f**j + 1/2 - f.
(f - 1)**2/2
Let u = -647/11 + 59. Find p such that 32/11*p**4 - 12/11*p + 48/11*p**3 + 2/11 + u*p**2 = 0.
-1, 1/4
Let m(w) be the first derivative of -w**5/15 - w**4/4 - w**3/3 + w**2 - 3. Let j(u) be the second derivative of m(u). Factor j(q).
-2*(q + 1)*(2*q + 1)
Suppose k + 14 = -0*k - g, 22 = -k - 3*g. Let w be -2 - k*(-6)/(-27). Let 0 + w*q**5 - 2/9*q - 4/9*q**4 + 4/9*q**2 + 0*q**3 = 0. Calculate q.
-1, 0, 1
Let y(n) be the first derivative of -243*n**5 + 945*n**4/4 - 45*n**3 - 45*n**2/2 + 10*n + 3. Factor y(p).
-5*(3*p - 1)**3*(9*p + 2)
Let c(d) = 6*d**5 - 18*d**3 - 5*d**2 - 17*d. Let n(h) = 2*h**5 - 6*h**3 - 2*h**2 - 6*h. Let p(g) = 6*c(g) - 17*n(g). Factor p(z).
2*z**2*(z - 1)**2*(z + 2)
Let h(v) be the second derivative of v**7/630 + v**6/90 + 2*v**4/3 - 2*v. Let j(c) be the third derivative of h(c). Find t, given that j(t) = 0.
-2, 0
Let j = -6293/2 - -3055. Let s = j + 931/10. Find l, given that 4/5*l**2 + s*l**4 + 2/5*l + 0 - 14/5*l**3 = 0.
-1/4, 0, 1
Factor 2/5*k - 12/5*k**2 + 4/5.
-2*(2*k + 1)*(3*k - 2)/5
Let h(p) be the third derivative of p**7/70 + p**6/40 - p**5/20 - p**4/8 - 25*p**2. Solve h(u) = 0.
-1, 0, 1
Let z(i) = 6*i + 2. Let d(j) = -j**2 - j - 1. Let c be (-4)/(-6) - (-16)/(-6). Let s(p) = c*d(p) - z(p). Factor s(o).
2*o*(o - 2)
Let d(k) be the second derivative of k**5/60 - k**3/18 + 16*k. Solve d(n) = 0.
-1, 0, 1
Suppose 3*l - 4*l = -5. Let 7*c**5 + 8*c - c**2 - l*c**3 + 5*c**2 - c - 2*c**4 - 2 - 9*c**3 = 0. Calculate c.
-1, 2/7, 1
Let u(z) be the third derivative of -1/105*z**7 + 1/3*z**3 - 1/30*z**6 + 0 + 0*z + 1/6*z**4 - z**2 + 0*z**5. Determine l so that u(l) = 0.
-1, 1
Suppose -9 = -2*y + 5*c - 4, 0 = -3*y + 3*c + 12. Determine m, given that 6*m - y*m**2 + 0*m**2 + 5 + 2*m**2 + 4 = 0.
-1, 3
Let j(b) = -3*b**4 - 6*b**3 - 3*b**2 + 12*b + 3. Let z(q) = 6*q**4 + 11*q**3 + 6*q**2 - 25*q - 5. Let o(c) = 7*j(c) + 3*z(c). Determine t so that o(t) = 0.
-2, -1, 1
Let v(m) = -m**3 + m**2 - 5*m + 1. Let u(n) = -n**2 - n. Let o(b) = 2*u(b) - v(b). Suppose o(a) = 0. Calculate a.
1
Let w(a) = -9*a**2 + 20*a + 4. Let u(n) = 10*n**2 - 20*n - 5. Let m(t) = 4*u(t) + 5*w(t). Let m(h) = 0. What is h?
0, 4
Let x be (6/(-2))/((-36)/12). Let g(d) = -d**4 - d**3 + d**2 - d. Let q(f) = 4*f**4 - 11*f**3 + 8*f**2 + f. Let v(b) = x*g(b) + q(b). Factor v(c).
3*c**2*(c - 3)*(c - 1)
Let f(y) = 2*y**3 + 3*y**2 - 15*y - 15. Let c be f(-3). Find n, given that -4/3 - 2*n + 2*n**c - 10/3*n**4 + 14/3*n**2 = 0.
-1, -2/5, 1
Suppose 0*w = 4*w - w. Let g(i) be the third derivative of 0 + 0*i - i**2 - 1/150*i**5 + w*i**4 + 1/600*i**6 + 0*i**3. Factor g(d).
d**2*(d - 2)/5
Let p be -3*(3 + -4) + -4. Let r = p - -3/2. Solve 0 + 2*h**2 - r*h + 2*h**4 - 3*h**3 - 1/2*h**5 = 0.
0, 1
Let a(t) be the second derivative of -t**6/10 - 9*t**5/20 + 2*t**3 - 8*t. Factor a(j).
-3*j*(j - 1)*(j + 2)**2
Let y(k) be the third derivative of k**8/672 - k**7/210 - k**6/240 + k**5/60 - 5*k**2. Factor y(g).
g**2*(g - 2)*(g - 1)*(g + 1)/2
Let r = 236 + -1648/7. Factor r - 10/7*d + 8/7*d**2 - 2/7*d**3.
-2*(d - 2)*(d - 1)**2/7
Let m(k) be the second derivative of -2*k**7/147 + k**5/35 - 9*k. Factor m(j).
-4*j**3*(j - 1)*(j + 1)/7
Suppose p**5 + 1/3 - 2*p**3 - 2/3*p**2 + 1/3*p**4 + p = 0. Calculate p.
-1, -1/3, 1
Let q(z) = -36*z**4 + 42*z**3 - 21*z**2 - 15*z - 15. Let y(x) = -5*x**4 + 6*x**3 - 3*x**2 - 2*x - 2. Let c(p) = 2*q(p) - 15*y(p). Solve c(t) = 0 for t.
0, 1
Suppose -3*r = m - 2*m + 8, -3*m = -4*r - 19. Factor 4 - 2*f**2 - 4 + 0*f**2 - 6*f**4 + 6*f**3 + 2*f**m.
2*f**2*(f - 1)**3
Let m = 2 - 0. Suppose 1 = -3*z + 10. Factor -2*g**3 - g**z + g**m + g + g**3.
-g*(g - 1)*(2*g + 1)
Let c(u) be the second derivative of -4/3*u**3 + 0*u**4 - 2/15*u**6 + 0 + 2/5*u**5 + 2*u**2 + 7*u. Determine q so that c(q) = 0.
-1, 1
Suppose -9 = -4*l + 3. Let r(x) be the second derivative of 1/36*x**4 + 0 - x + 0*x**2 - 1/18*x**l. Factor r(p).
p*(p - 1)/3
Let q**4 - 10/3*q**2 - 7*q + 2*q**3 - 1/3*q**5 - 3 = 0. What is q?
-1, 3
Let q(i) be the first derivative of -4*i**3/3 - 2*i**2 - 13. Let q(h) = 0. What is h?
-1, 0
Let f(z) = -20*z**4 - 20*z**3 + 9*z**2 + 20*z + 11. Let s(r) = -7*r**4 - 7*r**3 + 3*r**2 + 7*r + 4. Let j(h) = -4*f(h) + 11*s(h). Find k such that j(k) = 0.
-1, 0, 1
Suppose 13*b + 0*b = 26. Solve 3*o - 3/2*o**b + 0 = 0.
0, 2
Solve -518*l - 45*l**3 - 465*l**2 - 2 - 178 - 42*l = 0.
-9, -2/3
Let x(c) = -c**2 + c - 1. Let k be x(0). Let o(d) = -d**3 - d**2 + d. Let u(h) = -1. Let t(p) = k*u(p) + o(p). Let t(s) = 0. What is s?
-1, 1
Suppose 2*a + 15 = 7*a. Let f be (-2)/21*(-7)/a. Factor 0 - f*m + 2/9*m**2.
2*m*(m - 1)/9
Suppose 5*u - 12 = u. Let j(q) be the second derivative of -4/3*q**2 + 13/18*q**4 - u*q + 0 - 7/60*q**5 - 10/9*q**3. Determine b, given that j(b) = 0.
-2/7, 2
Let l be 3 + (-3 - (1 - 3)). Factor -1/2*i**l - i - 1/2.
-(i + 1)**2/2
Factor -2/11*j**2 + 1/11 + 0*j**3 + 1/11*j**4 + 0*j.
(j - 1)**2*(j + 1)**2/11
Let p(h) be the second derivative of 0 - 3*h - 1/24*h**4 - 1/168*h**7 - 1/8*h**2 + 1/8*h**3 + 1/40*h**6 - 1/40*h**5. Factor p(g).
-(g - 1)**4*(g + 1)/4
Let y be 3 + -1 + 7 + -5. Let n(m) be the first derivative of -1/12*m**y + 1/9*m**3 - 3 - 1/3*m + 1/6*m**2. Factor n(a).
-(a - 1)**2*(a + 1)/3
Let b(o) = -3*o**2 + 3*o + 13. Let u be ((-7)/5)/(1/(-5)). Let r(g) = 3*g**2 - 3*g - 12. Let h(j) = u*r(j) + 6*b(j). Find x, given that h(x) = 0.
-1, 2
Let i be (34/24)/((-27)/36) - -3. Factor 2/9*m**4 - 2/3*m**2 + 2/9*m**3 - 4/9 - i*m.
2*(m - 2)*(m + 1)**3/9
Let w = 20/9 + -91/45. Let f(i) be the first derivative of -1/2*i**2 + 1/4*i**4 - 1 - 1/3*i**3 + 0*i + w*i**5. Suppose f(p) = 0. Calculate p.
-1, 0, 1
Let p(f) be the third derivative of -f**5/4 + f**4/4 + 3*f**3/2 - 2*f**2. Factor p(q).
-3*(q - 1)*(5*q + 3)
Let p = 146 - 427/3. Find g, given that 0 - 2/3*g + 2/3*g**3 + p*g**4 + 2*g**5 - 5/3*g