-2, -1, 1
Factor -12/7*r**3 + 16/7*r**2 - 8/7 + 4/7*r.
-4*(r - 1)**2*(3*r + 2)/7
Suppose -5*b + 3 + 12 = 0, -12 = -3*l - b. Let r(o) be the third derivative of 1/60*o**4 + 1/75*o**5 + l*o**2 + 0 + 0*o - 2/15*o**3 - 1/300*o**6. Factor r(z).
-2*(z - 2)*(z - 1)*(z + 1)/5
Let o(q) be the third derivative of q**8/168 - q**7/105 - q**6/60 + q**5/30 + 8*q**2. Let o(d) = 0. Calculate d.
-1, 0, 1
Let q(z) be the third derivative of -z**7/420 + z**5/20 + z**4/6 + z**3/3 - 3*z**2. Let p(t) be the first derivative of q(t). Factor p(x).
-2*(x - 2)*(x + 1)**2
Let s(o) be the second derivative of -4*o**7/21 + o**6/15 + 24*o**5/5 + 26*o**4/3 - 16*o**3/3 - 54*o. What is k in s(k) = 0?
-2, 0, 1/4, 4
Let c be 5 + 3 - (-2 + 7). What is o in -1/5*o**2 + 1/5*o - 1/5*o**c + 1/5 = 0?
-1, 1
Determine q, given that 0 + 2/15*q + 4/5*q**2 - 6/5*q**5 + 16/15*q**3 - 4/5*q**4 = 0.
-1, -1/3, 0, 1
Suppose j - 12 = 4. Suppose -j = -11*a + 7*a. Solve 3/5*f**a - 2/5*f**2 + 0*f + 1/5*f**3 + 0 = 0 for f.
-1, 0, 2/3
Let i(z) be the second derivative of -z**8/26880 - z**7/10080 - z**4/2 + z. Let x(r) be the third derivative of i(r). Factor x(g).
-g**2*(g + 1)/4
Suppose 17*k + 6*k**2 - k - 64 + 10*k**2 - 17*k**2 = 0. What is k?
8
Suppose 9*p - 14*p + 10 = 0. Determine c so that 0 + 0*c - 21/5*c**3 + 6/5*c**p = 0.
0, 2/7
Let v(w) be the third derivative of w**7/210 + w**6/120 - w**5/60 - w**4/24 + 2*w**2. Let v(r) = 0. Calculate r.
-1, 0, 1
Suppose -4*m + 3*p + 13 + 5 = 0, -3*m = 3*p - 24. Let h = 4 - 1. Factor -4*w**3 - w - w**h + m*w**3.
w*(w - 1)*(w + 1)
Let i(o) = -o**3 + 7*o**2 - 6*o + 2. Let r be i(6). Factor 21*y**2 + r*y**5 - 20*y**2 + 4*y**3 + 6*y**4 - y**4.
y**2*(y + 1)**2*(2*y + 1)
Let v(l) be the third derivative of -l**6/1080 + l**4/216 + 7*l**2. Let v(t) = 0. Calculate t.
-1, 0, 1
Let d(v) be the first derivative of -2*v + 1/3*v**4 + 4 - 7/10*v**5 + 7/3*v**3 - 2*v**2. Let r(z) be the first derivative of d(z). Factor r(y).
-2*(y - 1)*(y + 1)*(7*y - 2)
Let o = 0 - -6. Suppose -2*j = -4*j + o. Factor 4*t**2 - 4*t**j + 4*t**3 + t**3 + 2 + 5*t.
(t + 1)**2*(t + 2)
Let c(z) be the second derivative of z**4/108 + 4*z**3/27 - z**2/2 + 46*z. Factor c(l).
(l - 1)*(l + 9)/9
Suppose -3*u = -2*p + 17, 2*p - 22 = 5*u - u. Suppose -5*r + p = -9. Find g, given that g**5 + 1 + 4*g + 12*g**3 + 5*g**4 + 3*g - 2*g**3 + 10*g**2 - r*g = 0.
-1
Let m(z) = z**3 - 3*z**2 - 5*z + 1. Let u be m(4). Let q be 21/14*(-8)/u. Solve 0*n**3 + 0 + 1/6*n**2 + 0*n - 1/6*n**q = 0 for n.
-1, 0, 1
Let z be ((-4)/10)/1 - 76/(-190). Let t(p) be the first derivative of 0*p + z*p**2 - 1/15*p**3 - 2. Solve t(d) = 0 for d.
0
Let m = 581/4 + -145. Suppose -3/4 - b - m*b**2 = 0. Calculate b.
-3, -1
Let p(l) be the second derivative of 5*l**7/14 + 13*l**6/10 + 27*l**5/20 - l**4/4 - l**3 + 21*l. Solve p(q) = 0 for q.
-1, 0, 2/5
Let y(h) be the third derivative of h**6/120 - h**5/15 + h**4/6 + h**3/3 + 6*h**2. Let d(f) be the first derivative of y(f). Let d(c) = 0. Calculate c.
2/3, 2
Let h(q) = -q**2 - q - 1. Let t(v) = v. Let g(d) = -h(d) + t(d). Suppose g(a) = 0. What is a?
-1
Let a(k) be the second derivative of 4*k + 0 - 1/5*k**5 + 1/3*k**4 - 1/5*k**6 + k**2 + k**3 - 1/21*k**7. Find r such that a(r) = 0.
-1, 1
Let s = 14 + -10. Suppose 9 = l + 6. Factor -1/3*a**s + 1/3*a**2 + 1/3*a**5 + 0 + 0*a - 1/3*a**l.
a**2*(a - 1)**2*(a + 1)/3
Factor -1/3*r**2 + 1/3 + 1/3*r - 1/3*r**3.
-(r - 1)*(r + 1)**2/3
Let r(p) = 2*p**5 + 2*p**4 - 8*p**3 - 3*p**2 + 2*p. Let v(m) = m**5 - m**4 - m**3. Let j(s) = r(s) - 5*v(s). Find f such that j(f) = 0.
-2/3, 0, 1
Let g(q) be the first derivative of 4*q**3/21 + 12*q**2/7 + 32*q/7 + 23. What is w in g(w) = 0?
-4, -2
Let w = -8 + 10. Suppose -5*u + w = -2*u + 2*s, u - 3*s - 8 = 0. Factor 0 - 2/7*c**u + 0*c.
-2*c**2/7
Let f(y) be the third derivative of -y**5/90 + y**4/18 - 7*y**2. Find t such that f(t) = 0.
0, 2
Let k(p) be the second derivative of -5*p**7/42 + 35*p**6/6 - 215*p**5/2 + 5225*p**4/6 - 15125*p**3/6 + 6655*p**2/2 + 24*p. Factor k(x).
-5*(x - 11)**3*(x - 1)**2
Suppose b - 13 = -8. Determine k so that -16/3*k**4 + 4/3 - 64/3*k**3 + 4*k**2 + 14*k**b + 22/3*k = 0.
-1, -1/3, -2/7, 1
Let k(m) be the third derivative of m**6/300 - m**5/75 + m**4/60 + 6*m**2. Factor k(j).
2*j*(j - 1)**2/5
Suppose -8/9 + 4/9*d**4 - 4/3*d**3 + 4/9*d**2 + 4/3*d = 0. What is d?
-1, 1, 2
Let i(k) = -k + 9. Let m be i(6). Let t(y) be the second derivative of 0 + 0*y**2 - 2*y + 0*y**m + 1/90*y**5 - 1/27*y**4. What is x in t(x) = 0?
0, 2
Let x be (3/(-6))/((-1)/6). Factor 3*z - 5*z**3 - 5*z + 7*z**x.
2*z*(z - 1)*(z + 1)
Let s = 33 - 49. Let q be 150/s*(-22)/3. Factor -q*l**3 - 2 - 125/4*l**4 - 17*l - 105/2*l**2.
-(l + 1)*(5*l + 2)**3/4
Find z such that 3*z**4 + 6*z**2 + 8*z**2 - 9*z**3 - 3*z - 5*z**2 = 0.
0, 1
Let w = 21139 - 148458/7. Let f = -69 - w. Find a such that f - 2/7*a**2 - 4/7*a + 4/7*a**3 = 0.
-1, 1/2, 1
Let r be (16 - 17)*(-1 + 1)*1. Determine d so that r*d + 1/3*d**3 - 1/3*d**2 + 0 = 0.
0, 1
Factor 10*w**2 - 20*w - 183*w**3 + 96*w**3 + 92*w**3 - 40.
5*(w - 2)*(w + 2)**2
Let x = 241/4 + -60. Factor 1/4*g**2 - x*g**3 + 1/2*g + 0.
-g*(g - 2)*(g + 1)/4
Suppose 0 + 32 = 2*a + 4*y, 0 = -2*a + 5*y + 32. Let f be 1/4 - (-28)/a. Factor 0 + 0*v + 0*v**f + 2/3*v**4 + 2/3*v**3.
2*v**3*(v + 1)/3
Suppose 3*z + 12 = 5*z. Let f(o) be the first derivative of -1/21*o**z + 1/14*o**4 + 0*o - 1 + 2/21*o**3 + 0*o**2 - 2/35*o**5. Determine k, given that f(k) = 0.
-1, 0, 1
Let g(p) = p**2 - 4*p. Let i be g(5). Determine j so that j**5 + 0*j**3 - 3*j - 4*j**i + 6*j**3 = 0.
-1, 0, 1
Suppose 4*q - 25 = -1. Let w(l) be the second derivative of 2/5*l**5 + 0*l**3 - 2*l + 0*l**2 + 0 + 2/3*l**4 + 1/15*l**q. Factor w(o).
2*o**2*(o + 2)**2
Suppose 3*z = -5*z. Let c(d) be the first derivative of -2/3*d**3 + 0*d - 1/6*d**6 + 1/2*d**2 - 1 + 2/5*d**5 + z*d**4. Factor c(t).
-t*(t - 1)**3*(t + 1)
Let n(a) be the third derivative of a**6/300 + a**5/15 - 23*a**4/60 + 4*a**3/5 - 47*a**2. Suppose n(x) = 0. Calculate x.
-12, 1
Let y = -42 - 28. Let t be (-95)/y + 2/(-4). Factor 0 + 4/7*c - 10/7*c**3 + t*c**2.
-2*c*(c - 1)*(5*c + 2)/7
Let n(r) = -1 - 6*r + 3 + 4 - 4*r**2 + 6*r**2. Let h(c) = 2*c**2 - 5*c + 5. Let o(z) = -6*h(z) + 5*n(z). Find x such that o(x) = 0.
0
Suppose -3*c - 4/3 - 2*c**2 - 1/3*c**3 = 0. Calculate c.
-4, -1
Let a(h) = -8*h**2 - 2*h + 2. Let n = -7 - 4. Let v(f) = 23*f**2 + 5*f - 6. Let o(g) = n*a(g) - 4*v(g). Let o(d) = 0. What is d?
-1/2, 1
Let z be (4/3)/((-8)/(-12)). Factor -3*t**z - 2*t + 2*t + 4*t**2.
t**2
Let a(q) be the first derivative of q**3/12 + q**2/8 - q/2 + 10. Factor a(j).
(j - 1)*(j + 2)/4
Let d(c) = c**4 - 19*c**3 - 21*c**2 + 41*c + 9. Let r(b) = -4*b**3 - 4*b**2 + 8*b + 2. Let g(u) = -4*d(u) + 22*r(u). Let g(l) = 0. Calculate l.
-2, -1, 1
Let x = 682 + -47739/70. Let l(h) be the third derivative of -1/168*h**8 + 0 + 1/15*h**5 + 0*h - 1/6*h**3 + 0*h**4 + 3*h**2 - x*h**7 + 1/60*h**6. Factor l(w).
-(w - 1)*(w + 1)**3*(2*w - 1)
Let p(r) = -3*r**2 - 13*r - 12. Let j(g) = g**3 + 4*g**2 - 6*g - 4. Let h be j(-5). Let c(l) = -l. Let b(s) = h*c(s) - p(s). Suppose b(t) = 0. Calculate t.
-2
Let d(o) = -o**3 - 2*o**2 - 2*o. Let l be d(-2). Factor 3*j**4 - 4*j**3 + 2*j**4 - j**5 - 3*j**l + 3*j**5.
2*j**3*(j - 1)*(j + 2)
Factor 16*l - 456*l**3 + 4 + 24*l**2 + 472*l**3 + 0 + 4*l**4.
4*(l + 1)**4
Let x(s) be the first derivative of -10 - 2/13*s**2 + 0*s + 2/39*s**3. Factor x(f).
2*f*(f - 2)/13
Let n be 38/6 + -5 - 1. Factor 0*k + n - 1/3*k**2.
-(k - 1)*(k + 1)/3
Let q(y) = 4*y**3 - 4*y**2 - 12*y + 4. Let n(g) = 12*g**3 - 12*g**2 - 35*g + 11. Let j(z) = -4*n(z) + 11*q(z). Determine m, given that j(m) = 0.
-1, 0, 2
Let y(z) = 2*z**2 + 6*z. Let o be y(-5). Suppose -c = -2*k + 11, 2*c + 2 = -4*k + o. Let 8/3*s**4 + 2/3*s + 8/3*s**2 + 2/3*s**k + 4*s**3 + 0 = 0. What is s?
-1, 0
Let v(d) = 2*d + 112. Let w be v(-56). Suppose n + 3*n - 16 = 0. Determine t, given that 1/2*t + t**n - t**2 + w - 1/2*t**5 + 0*t**3 = 0.
-1, 0, 1
Let h(o) be the second derivative of -1/12*o**3 + 1/48*o**4 + o + 0*o**2 + 0. Find a such that h(a) = 0.
0, 2
Let g(v) be the second derivative of 0*v**3 - 1/20*v**4 + 0 + 9/100*v**5 - 4*v + 1/70*v**7 + 0*v**2 - 3/50*v**6. Factor g(h).
3*h**2*(h - 1)**3/5
Let d(n) be the second derivative of 5/3*n**4 + 0