 -2/5, 1
Let 0*c - 6/5*c**2 + 0 - 1/5*c**3 = 0. Calculate c.
-6, 0
Let l(o) be the second derivative of o**6/20 - 3*o**5/20 + o**4/8 + 3*o. Factor l(f).
3*f**2*(f - 1)**2/2
Suppose -4*u + 3*x + 22 = 0, 2 = -3*u + x + 16. Suppose u*a - 7 - 1 = 0. Find c such that -4/5 + 2/5*c + 2/5*c**a = 0.
-2, 1
Let b(j) be the second derivative of 2*j**7/21 + 8*j**6/15 + j**5 + 2*j**4/3 + 9*j - 2. Factor b(q).
4*q**2*(q + 1)**2*(q + 2)
Factor 12/5 + 48/5*q - 27/5*q**2.
-3*(q - 2)*(9*q + 2)/5
Let t = 792 + -790. Factor -4/3*c**2 + t*c + 0 + 2/9*c**3.
2*c*(c - 3)**2/9
Let w(t) = -t**2 - 1. Let b(n) = -3*n**2 - 4*n - 1. Let k(l) = -b(l) + 4*w(l). Factor k(o).
-(o - 3)*(o - 1)
Let r(s) be the first derivative of -6*s**5/5 + s**4/2 + 6*s**3 - 9*s**2 + 4*s - 2. Let r(t) = 0. Calculate t.
-2, 1/3, 1
Let k(o) be the second derivative of o**7/3150 + o**6/1800 - o**5/300 - o**4/12 - 2*o. Let t(f) be the third derivative of k(f). Factor t(p).
2*(p + 1)*(2*p - 1)/5
Let u(s) be the third derivative of s**7/350 + s**6/100 - s**5/25 - s**4/20 + 3*s**3/10 - 2*s**2 + 3*s. Factor u(x).
3*(x - 1)**2*(x + 1)*(x + 3)/5
Let x(b) be the second derivative of 0*b**2 + 4/105*b**6 + 1/14*b**5 + 0*b**3 - 5*b + 0 + 1/42*b**4. Determine m so that x(m) = 0.
-1, -1/4, 0
Let l be (2/4)/(2/12). Suppose 2*n + 3*n = -l*f + 15, 2*n = 4*f + 6. Factor 0*q + 3*q**n + 2*q - 3*q + 2*q**4.
q*(q + 1)**2*(2*q - 1)
Find q, given that 0 - 2*q**3 - 8/3*q + 5*q**2 - 1/3*q**4 = 0.
-8, 0, 1
Let c(f) be the second derivative of -f**4/12 - 2*f**3/3 - 2*f**2 + 3*f. Suppose c(a) = 0. What is a?
-2
Suppose -4*b - 36 = -4*a - 0*b, -4*a + 28 = -2*b. Factor 11*p - a*p - 9*p**2 + 3*p**3 + 0*p**3.
3*p*(p - 2)*(p - 1)
Let o be (-1)/(-1)*(-7 - -40). What is l in 37*l**5 - 24*l**3 - 21*l**5 - 4*l**2 - 21*l**4 + o*l**5 = 0?
-2/7, 0, 1
Suppose 0 = -3*w + 12, -3*h + 3*w = -2*h - 3. Let b be 1*-1 - (-25)/h. Factor 2/3*t - 2/3*t**4 + b*t**2 - 2/3*t**3 + 0.
-2*t*(t - 1)*(t + 1)**2/3
Let y(m) be the third derivative of m**7/15120 + m**6/4320 - m**5/360 + m**4/12 - 3*m**2. Let z(j) be the second derivative of y(j). Factor z(l).
(l - 1)*(l + 2)/6
Let v(t) be the second derivative of 2*t + 0*t**2 - 13/20*t**5 - 1/42*t**7 + 0 - t**4 - 1/5*t**6 - 2/3*t**3. Factor v(a).
-a*(a + 1)**2*(a + 2)**2
Let c be (-791)/14*2*1. Let w = c - -343/3. Factor -1/6*y**5 - w - 19/3*y**2 - 25/6*y**3 - 14/3*y - 4/3*y**4.
-(y + 1)**2*(y + 2)**3/6
Let a be ((-4)/(-10))/((-2)/(-250)). Let x = a + -199/4. Factor 3/4*r + 1/4*r**3 - x - 3/4*r**2.
(r - 1)**3/4
Let l(k) be the second derivative of k**4/6 + 8*k**3/3 + 16*k**2 - 5*k. Suppose l(b) = 0. What is b?
-4
Let x(j) = -j**3 + 6*j**2 + j + 2. Let z be x(6). Let y be 9/(-6)*z/(-6). Factor 0 + 2/5*b - 2/5*b**y.
-2*b*(b - 1)/5
Let v = 20 + -219/11. Let j(q) be the first derivative of 1/11*q**4 - 2/55*q**5 - 1/33*q**6 + 4/33*q**3 - v*q**2 - 2 - 2/11*q. Factor j(y).
-2*(y - 1)**2*(y + 1)**3/11
Let x be (-26)/(-8) - (-50)/(-200). Determine b, given that -1/3*b**2 - 2*b - x = 0.
-3
Let v(q) be the first derivative of -q**5/30 + q**4/6 - q**3/3 - 5*q**2/2 + 2. Let i(d) be the second derivative of v(d). Find k, given that i(k) = 0.
1
Let x(r) = 32*r + 706. Let q be x(-22). Factor -2*a**3 - 1/7*a**5 - 2/7 - 9/7*a - 16/7*a**q - 6/7*a**4.
-(a + 1)**4*(a + 2)/7
Let r(a) be the third derivative of a**8/392 + a**7/735 - a**6/84 - a**5/210 + a**4/42 + 25*a**2. Determine q, given that r(q) = 0.
-1, 0, 2/3, 1
Let h(m) be the third derivative of m**5/270 + m**4/27 + 4*m**3/27 + 7*m**2. Factor h(k).
2*(k + 2)**2/9
Let u(q) be the first derivative of -q + 1/4*q**4 - 1/2*q**2 + 1/3*q**3 - 5. Solve u(j) = 0 for j.
-1, 1
Let z(a) be the first derivative of -2*a**6/3 + 2*a**4 - 2*a**2 + 33. Factor z(c).
-4*c*(c - 1)**2*(c + 1)**2
Let p(d) be the first derivative of d**5/5 + d**4/4 - 3. Factor p(s).
s**3*(s + 1)
Let c(h) be the third derivative of -h**5/15 + 4*h**4/3 - 32*h**3/3 + 27*h**2. Find y, given that c(y) = 0.
4
Let v = 11 - 9. Let r(p) be the third derivative of v*p**2 + 0 + 1/36*p**4 + 0*p - 1/90*p**5 + 1/9*p**3 - 1/180*p**6. Find w such that r(w) = 0.
-1, 1
Let d be 32/96*0/(-1). Factor 3/2*a**2 + 3*a + d.
3*a*(a + 2)/2
Solve 4/7*u**3 - 4/7*u + 6/7*u**2 - 6/7 = 0 for u.
-3/2, -1, 1
Let z be 2/(-5) + (-756)/(-1215). Find p, given that 2/9*p**3 + 4/9*p**2 - 4/9 - z*p = 0.
-2, -1, 1
Let j(t) be the second derivative of -t**5/6 + t**4/4 + 2*t**3/3 + 2*t**2 - t. Let w(p) be the first derivative of j(p). Find m, given that w(m) = 0.
-2/5, 1
Let t be -2*2/(-20)*8. Factor 4/5*d**3 - 6/5*d**2 + 2/5*d**4 + t - 8/5*d.
2*(d - 1)**2*(d + 2)**2/5
What is t in -2 + 28*t**3 + 32*t**2 + 19*t**4 - 7*t**4 + 18*t + 6 + 2*t**5 = 0?
-2, -1
Let r(j) be the third derivative of j**5/30 - j**4/3 + 4*j**3/3 - j**2. Solve r(l) = 0 for l.
2
Let u be (-6)/(-5) - (-12)/(-30). Factor 0*r - u*r**2 + 0 - 2/5*r**3.
-2*r**2*(r + 2)/5
Let h(y) be the second derivative of y**4/9 - 20*y**3/9 + 7*y - 2. Determine p, given that h(p) = 0.
0, 10
Let t(s) be the third derivative of -s**6/540 + 2*s**5/135 - 5*s**4/108 + 2*s**3/27 - 13*s**2. Suppose t(c) = 0. What is c?
1, 2
Let i(m) be the second derivative of -m**5/240 - m**4/96 + m**3/12 + 9*m**2/2 + 8*m. Let q(w) be the first derivative of i(w). Suppose q(u) = 0. Calculate u.
-2, 1
Let d be (24/16)/((-6)/(-16)). Factor r**3 - r**3 - 3*r**3 - d*r + r**3 + 4 - 7*r**2.
-(r + 2)**2*(2*r - 1)
Let b(y) be the third derivative of 5*y**8/336 + y**7/21 - y**5/6 - 5*y**4/24 - 13*y**2. Suppose b(h) = 0. What is h?
-1, 0, 1
Let w(p) be the first derivative of p**6/6 + 8*p**5/5 + 4*p**4 + 15. Solve w(f) = 0 for f.
-4, 0
Let h(b) be the second derivative of -b**10/15120 - b**9/3780 - b**8/3360 - b**4/4 - 5*b. Let p(k) be the third derivative of h(k). Find v, given that p(v) = 0.
-1, 0
Let d be (5/(-3))/(1/(-3)). Factor -2*a + 4*a**3 - 4*a**5 + 2*a**5 - a**5 + a**d.
-2*a*(a - 1)**2*(a + 1)**2
Let k(t) be the third derivative of t**5/80 - t**4/32 + 4*t**2. Let k(b) = 0. Calculate b.
0, 1
Let d = 97/3 - 32. Let y = 179/3 + -59. Factor y*n + 1/3 + d*n**2.
(n + 1)**2/3
Let g(p) be the third derivative of -p**5/360 + p**4/48 - 5*p**2. Factor g(z).
-z*(z - 3)/6
Let h(q) be the first derivative of 7*q**5 - 15*q**4 - 125*q**3/3 - 15*q**2 + 49. Determine d, given that h(d) = 0.
-1, -2/7, 0, 3
Let o(m) = -10*m**4 - 27*m**3 + 29*m**2 + 99*m + 32. Let u(g) = g**3 + g**2 - g. Let a(p) = o(p) + 3*u(p). Determine f so that a(f) = 0.
-2, -2/5, 2
Let p be (451/44 - 10) + (-2)/8. Factor 0*t**2 + p + 1/3*t - 1/3*t**3.
-t*(t - 1)*(t + 1)/3
Let f(b) be the second derivative of b**4/18 + b**3/9 - 9*b. Suppose f(n) = 0. What is n?
-1, 0
Let k be 0/((3 - 2)*2). Suppose o + 18 = 5*s, 0 = 5*s - 2*o - 10 - 11. Factor t**4 + 0 - 1/3*t**5 + k*t + 1/3*t**2 - t**s.
-t**2*(t - 1)**3/3
Let m = -3 - -15. Let g be -22*(-2)/m + -3. Find i, given that -g*i**3 + 10/3*i**2 - 2*i**4 - 4/3 + 2/3*i = 0.
-1, 2/3, 1
Let x be (2 - 1)/(3/9). Let n(f) be the first derivative of -1/4*f**4 - 1/3*f**6 + 0*f + 0*f**2 + 1/6*f**x - 7/10*f**5 - 1. Factor n(j).
-j**2*(j + 1)**2*(4*j - 1)/2
Suppose 0*i + i + 10 = 0. Let f be (6/15)/((-6)/i). Suppose 0 + f*y**4 - 2/3*y + 2/3*y**3 - 2/3*y**2 = 0. What is y?
-1, 0, 1
Let k(r) = -r + 2. Let f be k(-5). Suppose f + 5 = 3*q. Suppose d**q + 2*d**2 - d**3 - 3*d**2 + 2*d**3 - d = 0. Calculate d.
-1, 0, 1
Factor -2*l**2 - 2*l**3 + 4 - 4*l**2 - 6*l - 6 + 0*l**3.
-2*(l + 1)**3
Let w(g) be the second derivative of g**7/70 - 2*g**6/25 + 3*g**5/50 + g**4/5 - 3*g**3/10 - 2*g. Let w(p) = 0. Calculate p.
-1, 0, 1, 3
Let j = -60 - -62. Factor 0*r + 1/3*r**j - 1/3.
(r - 1)*(r + 1)/3
Let j(v) = -v**2 - 7*v - 3. Let d be j(-6). Let c(h) be the third derivative of 1/210*h**5 + 4*h**2 + 0*h**d + 1/84*h**4 + 0*h + 0. Factor c(w).
2*w*(w + 1)/7
Let c = 6 - -3. Suppose 0 = v - 4*v + c. Determine s, given that 2/3*s**v + 4/3 + 0*s**2 - 2*s = 0.
-2, 1
Let a(m) be the third derivative of 0*m + 1/24*m**4 + 1/3*m**3 + 2*m**2 + 0 - 1/60*m**5. Factor a(i).
-(i - 2)*(i + 1)
Let q(g) be the third derivative of g**5/140 + g**4/56 - 27*g**2. Factor q(k).
3*k*(k + 1)/7
Let m be (-1)/1 - ((-116)/(-32) - 5). Factor -m*b**2 + 0 - 1/2*b.
-b*(3*b + 4)/8
Let v(t) = t - 14. Let u be v(9). Let w be u/15*(1 + -3). Determine z, given that w*z**2 - 2/3 + 2*z - 2*z**3 = 0.
-1