 Let c(f) = -54*f**2 - 35*f - 5. Let r(t) = -6*c(t) + 34*p(t). Find h such that r(h) = 0.
-2/3, 1/3
Solve -6*b**3 - 6*b**2 + 3*b**3 - 6*b**3 + 13*b**4 - 16*b**4 = 0.
-2, -1, 0
Suppose -f + 10 = 2*c, c - f + 3*f = 8. Let c*w**3 - w**3 + 3*w**4 + 0*w**5 - 3*w**5 - 3*w**2 = 0. What is w?
-1, 0, 1
Let u(k) = 3*k - 13. Let y be u(9). Let w = y + -11. Factor -2/11*m**4 + 10/11*m**w - 4/11 - 18/11*m**2 + 14/11*m.
-2*(m - 2)*(m - 1)**3/11
Let o = -11 - -23. Let s = o + -12. Solve 8/7*j**2 + 0 - 50/7*j**5 + 90/7*j**4 - 48/7*j**3 + s*j = 0.
0, 2/5, 1
Let q be (-150)/20*(1 + 1). Let w be 10/q - (-6)/9. Let w*t**2 + 2/7*t + 0 - 2/7*t**3 = 0. What is t?
-1, 0, 1
Let -5*g**2 - 51*g - 72 - 8 + 16*g - 15*g = 0. Calculate g.
-8, -2
Let l(d) = -5*d**3 + d**2 - d - 1. Let b(f) = -6*f**3 - 2*f. Let q(k) = 3*b(k) - 4*l(k). Let q(z) = 0. What is z?
-1, 1, 2
Let g(w) be the second derivative of w**6/30 - w**4/12 + 11*w. Suppose g(v) = 0. Calculate v.
-1, 0, 1
Suppose -25 = -5*a - 3*y, -y = -0 - 5. Factor j**5 - j**5 + a*j**3 - j**5 - j.
-j*(j - 1)**2*(j + 1)**2
Let o = -10 - -20. Let x = -48/5 + o. Factor x*g - 2/5*g**2 + 0.
-2*g*(g - 1)/5
Let y(j) be the first derivative of 3/5*j**5 + 3/2*j**4 - 1/2*j**6 - 3 - 3/2*j**2 + 3*j - 2*j**3. Suppose y(m) = 0. Calculate m.
-1, 1
Let k(l) = l**2 - l. Let g(h) = -h**2 + 10*h - 5. Let d(z) = -g(z) - 4*k(z). Let v(t) = -t**2 - t + 1. Let y(r) = -d(r) + 4*v(r). Suppose y(q) = 0. Calculate q.
1
Let s(b) be the third derivative of b**7/315 - b**6/45 + 2*b**5/45 - 13*b**2. Factor s(m).
2*m**2*(m - 2)**2/3
Let q be 0/((-7)/14*4). Let q*i + 1/2*i**2 + 0 = 0. Calculate i.
0
Let -2/11*l - 6/11*l**2 + 6/11 + 2/11*l**3 = 0. What is l?
-1, 1, 3
Let f(g) be the second derivative of -1/4*g**4 + 0 + 1/4*g**3 - 6*g - 1/4*g**5 + 7/20*g**6 + 1/4*g**2 - 3/28*g**7. Find b such that f(b) = 0.
-1/3, 1
Let u(x) = -9*x**2 - x + 3. Let v(d) = 4*d**2 - 1. Let m(b) = 6*u(b) + 14*v(b). What is j in m(j) = 0?
1, 2
Suppose 1/2*z**2 + 7/2*z - 4 = 0. Calculate z.
-8, 1
Let c(f) be the third derivative of f**7/84 + 5*f**6/48 + f**5/8 - 15*f**4/16 + 15*f**2. Suppose c(b) = 0. What is b?
-3, 0, 1
Let b(o) be the third derivative of -7*o**9/11880 + o**8/1320 - o**7/3465 - o**4/24 - 4*o**2. Let n(i) be the second derivative of b(i). Factor n(t).
-2*t**2*(7*t - 2)**2/11
Let x be 65/52 - -1*34/(-40). Factor -1/5*g**2 - x*g**3 + 0*g + 0 - 1/5*g**4.
-g**2*(g + 1)**2/5
Find s, given that -3/7*s**2 - 675/7 + 90/7*s = 0.
15
Let o(u) be the second derivative of -u**7/231 + u**6/165 + u**5/55 - u**4/33 - u**3/33 + u**2/11 + 17*u. Factor o(b).
-2*(b - 1)**3*(b + 1)**2/11
Let a be -4 - 22/(-3) - 4/12. Find c such that 15*c + 75/2*c**2 + 2 + 125/4*c**a = 0.
-2/5
Suppose 3*z = -10 + 1. Let f be 2 - 2/1 - z. Factor 2*r**2 + 2*r**2 - 5*r - f*r**2 + 2 + 2*r.
(r - 2)*(r - 1)
Let r(t) = -2*t - 12. Let q(a) = -a**3 - 14*a**2 - 12*a + 7. Let c be q(-13). Let y be r(c). Factor 0*b + 0*b**2 + 2/3*b**3 - 2/3*b**4 + y.
-2*b**3*(b - 1)/3
Let v(p) be the second derivative of 0 - 1/8*p**3 - 1/8*p**2 - 1/16*p**4 - 1/80*p**5 + 2*p. Determine s, given that v(s) = 0.
-1
Let j(q) be the second derivative of -1/60*q**6 + 0*q**3 + 0*q**5 - 1/2*q**2 + 0 + 1/12*q**4 - q. Let h(g) be the first derivative of j(g). Factor h(k).
-2*k*(k - 1)*(k + 1)
Factor 5*t**5 - 35*t**4 + 233 - 153 - 11*t + 80*t**3 - 40*t**2 - 69*t.
5*(t - 2)**4*(t + 1)
Let a(k) be the second derivative of -1/9*k**2 - 8/135*k**6 - 7/27*k**3 - 2/9*k**5 + 7*k - 1/3*k**4 + 0. Factor a(v).
-2*(v + 1)*(2*v + 1)**3/9
Find x, given that 0 + 0*x**2 + 1/4*x**4 + 1/4*x**3 + 0*x = 0.
-1, 0
Let x(c) be the second derivative of -c**4/48 - c**3/12 - c**2/8 - 5*c. Solve x(l) = 0.
-1
Let h(g) be the third derivative of -1/240*g**6 + 0*g + 0 - g**2 - 1/6*g**3 + 1/60*g**5 + 1/48*g**4. Determine l, given that h(l) = 0.
-1, 1, 2
Let t(c) be the second derivative of -9/5*c**5 + 0 - 3*c**3 + 97/24*c**4 + c**2 + 2*c + 4/15*c**6. Factor t(i).
(i - 2)**2*(4*i - 1)**2/2
Let f(d) be the first derivative of d**5 - 5*d**4 + 25*d**3/3 - 5*d**2 - 1. Determine o, given that f(o) = 0.
0, 1, 2
Determine b, given that 0*b**4 + 0 + 6/5*b**5 + 0*b - 6/5*b**3 + 0*b**2 = 0.
-1, 0, 1
Let c(q) be the second derivative of -q**7/336 - q**6/80 - 3*q**5/160 - q**4/96 - 7*q. Find w such that c(w) = 0.
-1, 0
Let h(y) be the second derivative of y**10/23760 - y**9/6930 + y**8/12320 + y**7/6930 - 2*y**4/3 + y. Let t(s) be the third derivative of h(s). Solve t(v) = 0.
-2/7, 0, 1
Let u(m) be the first derivative of -10*m**3/9 - 8*m**2/3 + 8*m/3 + 5. Suppose u(t) = 0. What is t?
-2, 2/5
Let r(k) = -k**2 + 3*k + 2. Let s be r(3). Let f(y) be the second derivative of y**2 + 0 + 1/6*y**3 - 1/12*y**4 - s*y. Factor f(b).
-(b - 2)*(b + 1)
Let -2/25 - 86/25*t**2 - 146/25*t**3 - 112/25*t**4 - 32/25*t**5 - 22/25*t = 0. Calculate t.
-1, -1/4
Find y, given that 0 - 2/9*y**3 - 1/3*y**4 - 2/9*y + 7/9*y**2 = 0.
-2, 0, 1/3, 1
Let z(v) be the second derivative of v**4/30 - v**3/15 - 6*v**2/5 + 4*v + 4. Factor z(d).
2*(d - 3)*(d + 2)/5
Suppose 4/17*r**2 - 2/17*r - 2/17 - 2/17*r**4 + 4/17*r**3 - 2/17*r**5 = 0. What is r?
-1, 1
Let q be 20/11 + (-6)/(-33). What is k in k**3 + 7*k**2 - q*k**2 + 2*k - 2*k**2 = 0?
-2, -1, 0
Suppose 367 = -4*u + 375. Factor -2/7*p**3 - 2/7*p**u + 2/7*p**4 + 0 + 2/7*p.
2*p*(p - 1)**2*(p + 1)/7
Factor -1/3*r**2 + 11/3*r - 10/3.
-(r - 10)*(r - 1)/3
Let q(h) = h**2 + 14*h + 24. Let x be q(-12). Let c(g) be the third derivative of 1/84*g**4 + x + 3*g**2 + 2/21*g**3 - 1/210*g**5 + 0*g. Factor c(f).
-2*(f - 2)*(f + 1)/7
Let c(v) = -v**3 + 5*v**2 - 5*v + 4. Let f be c(4). Determine r so that 0*r**3 - 2/3*r**2 + f*r + 2/3*r**4 + 0 = 0.
-1, 0, 1
Let y(l) be the third derivative of l**6/120 - l**5/60 - l**4/6 + 2*l**3/3 - l**2. Factor y(o).
(o - 2)*(o - 1)*(o + 2)
Let m(d) be the first derivative of -d**6/27 - 2*d**5/45 + d**4/9 + 3. Factor m(k).
-2*k**3*(k - 1)*(k + 2)/9
Let n be 1/3*(5 - -3). Let g(m) = m**2 + 5*m + 6. Let h be g(-4). Suppose 4/3 + n*s**h + 6*s = 0. What is s?
-2, -1/4
Let o(y) = 4 - 13 + 7*y + 0*y + 7*y**3 - 8*y**2 + 8*y. Let l(f) = 3*f**3 - 4*f**2 + 7*f - 4. Let c(t) = -5*l(t) + 2*o(t). Let c(r) = 0. What is r?
1, 2
Let j = 449 + -447. Factor -2/5*d**j - 2/5 - 4/5*d.
-2*(d + 1)**2/5
Suppose -2*k - 12 = k, -4*y - 2*k = 8. Suppose -x - x = y. Factor x*z**3 + 0*z + 2/9*z**2 - 2/9*z**4 + 0.
-2*z**2*(z - 1)*(z + 1)/9
Suppose x + 3*p - 10 = 8, 11 = -3*x + 4*p. Suppose 2*y = 3*m - 14, x*m - 2 = -3*y + 2*y. Let 10*t**2 + 5*t - m*t + 4*t - 3*t = 0. What is t?
-2/5, 0
Let g be ((-4)/3)/(9/27). Let k be (-48)/(-12) - g/(-2). Find p, given that 4/11*p**3 + 0*p**4 + 0 + 0*p**k - 2/11*p - 2/11*p**5 = 0.
-1, 0, 1
Factor -366 + 366 - 2*d**3 - 8*d - 8*d**2.
-2*d*(d + 2)**2
Let b(x) be the third derivative of 7*x**5/60 + 5*x**4/24 - x**3/3 + 11*x**2. Solve b(c) = 0 for c.
-1, 2/7
Let o(z) be the first derivative of -16*z**5/35 - 9*z**4/7 - 8*z**3/7 - 2*z**2/7 + 10. Factor o(g).
-4*g*(g + 1)**2*(4*g + 1)/7
Suppose -4*r - 16 = 0, -2*f - 6*r + 14 = -3*r. Suppose -5 + f = 4*n. Factor 4*u**3 + 3*u + 4*u**2 - 2*u**5 - n - 2*u**4 + 2*u + 0*u**3 - 7*u.
-2*(u - 1)**2*(u + 1)**3
Let k(s) be the third derivative of -s**2 + 0 + 1/120*s**5 + 0*s - 1/12*s**3 + 0*s**4. Factor k(f).
(f - 1)*(f + 1)/2
Let c(b) be the first derivative of -b**3/3 + 3*b**2/2 + 4*b + 2. Let v be c(4). Factor 0*h**3 + 3*h + h**3 + 3*h**2 + 1 + v*h**3.
(h + 1)**3
Let t = 233/56 - 31/8. Let d(m) be the first derivative of 3/14*m**4 - 2/35*m**5 + 0*m - t*m**3 + 1/7*m**2 + 3. Let d(b) = 0. What is b?
0, 1
Determine m so that 6 - 42 - 11*m - m**3 - 37*m - 13*m**2 = 0.
-6, -1
Let j(y) be the first derivative of y**6/1440 + y**5/480 - y**4/48 + 2*y**3/3 + 5. Let q(w) be the third derivative of j(w). Find m, given that q(m) = 0.
-2, 1
Factor 0 - 6*j + 27/4*j**5 - 63/2*j**3 - 27/4*j**4 - 25*j**2.
j*(j - 3)*(3*j + 2)**3/4
Let w(n) = -42*n**4 - 28*n**4 + 7*n**4 - 9*n + 7*n**4 - 17 + 82*n**3. Let f(x) = 2 - 41*x**3 + 1 + 28*x**4 + 5*x + 5. Let c(z) = 13*f(z) + 6*w(z). Factor c(v).
(v - 1)**2*(4*v + 1)*(7*v + 2)
Let n(a) = -30*a**5 - 60*a**4 + 65*a**3 + 60*a**2 - 35. Let c(u) = -5*u**5 - 10*u**4 + 11*u**3 + 10*u**2 - 6. Let z(j) = 35*c(j) - 6*n(j). Factor z(t).
5*t**2*(t - 1)*(t + 1)*(t + 2)
Let k = -834 + 836. Factor -3/2 - 