4 - 3*x**2 + 0*x**4 + q*x**4 - 3*x**3 = 0.
-1, 0
Suppose 8*u - 1794 = 11*u. Let m = -6572/11 - u. Factor -2/11*c + 0 - m*c**3 - 6/11*c**2 - 2/11*c**4.
-2*c*(c + 1)**3/11
Let t(r) be the second derivative of -3*r**5/160 - r**4/32 + r**3/16 + 3*r**2/16 - 5*r. Determine v, given that t(v) = 0.
-1, 1
Let k(j) = -3*j**3 + j**2 - 1. Let s = -16 - -15. Let z be k(s). Factor -1/6*i**z + 1/2*i - 1/3 + 0*i**2.
-(i - 1)**2*(i + 2)/6
Let w = -157/2 - -79. Factor -1/2*t**2 + t - w.
-(t - 1)**2/2
Let y be 2/(((-2)/(-6))/(32/528)). Determine i, given that -y - 8/11*i**2 + 2/11*i**3 + 10/11*i = 0.
1, 2
Let r(i) be the first derivative of i**7/1260 - i**6/120 + i**5/40 - i**2 - 3. Let v(l) be the second derivative of r(l). Factor v(x).
x**2*(x - 3)**2/6
Let t be (-4)/((-8)/(-2))*0. Suppose 1/4*c**5 + 0 + 0*c + 0*c**2 + t*c**3 + 0*c**4 = 0. What is c?
0
Let q(c) be the third derivative of 0 - 3*c**2 + 0*c - 1/6*c**4 + 1/60*c**5 + 1/2*c**3. Solve q(i) = 0.
1, 3
Let l be ((-8)/(-27) - 0)*-6 + 2. Factor 2/9 - l*t**2 + 2/9*t - 2/9*t**3.
-2*(t - 1)*(t + 1)**2/9
Let j = 3493/10 - 349. Let o(v) be the second derivative of 0 + j*v**5 + 0*v**6 + 0*v**2 + 0*v**4 - 1/2*v**3 - v - 1/14*v**7. What is s in o(s) = 0?
-1, 0, 1
Let m(q) be the second derivative of -q**5/4 - 5*q**4/6 + 10*q**3/3 + 20*q**2 - 37*q. Find i such that m(i) = 0.
-2, 2
Let p(h) = -h**2 - h - 1. Let x(z) = 6*z**2 + 9*z + 5. Let d(q) = -5*p(q) - x(q). Factor d(w).
-w*(w + 4)
Suppose -4*s = -5*s + 3. Find u, given that -2*u**5 + 4*u**5 - 2*u + 4*u**s - 4*u**5 + 0*u = 0.
-1, 0, 1
Let k = 193/9 + -21. Let d be (-16)/(1 + 3) + 7 + -1. Determine c so that 0*c**d - 2/3*c + 2/9*c**3 + k = 0.
-2, 1
Let p(g) be the third derivative of -g**7/42 + g**6/6 - g**5/3 + 13*g**2. Factor p(k).
-5*k**2*(k - 2)**2
Factor 6/5 - 4/5*c + 2/15*c**2.
2*(c - 3)**2/15
Let m(w) be the second derivative of 0*w**2 - 4/15*w**6 - 1/6*w**4 + 5*w + 0*w**3 + 0 + 1/2*w**5. Find v, given that m(v) = 0.
0, 1/4, 1
Let r(w) be the first derivative of -w**4/10 + 2*w**3/5 - 2*w**2/5 - 9. Factor r(f).
-2*f*(f - 2)*(f - 1)/5
Factor 41*r**3 + 5*r**2 - 28*r**3 - 18*r**3.
-5*r**2*(r - 1)
Solve -4/3 + 2/3*j**4 - 2*j**2 + 10/3*j - 2/3*j**3 = 0 for j.
-2, 1
Let b(a) = -18*a**4 + 20*a**3 + 18*a**2 - 4*a. Let p(o) = 12*o**4 - 13*o**3 - 12*o**2 + 3*o. Let l(k) = 5*b(k) + 8*p(k). Suppose l(m) = 0. Calculate m.
-1, 0, 2/3, 1
Let b(q) be the second derivative of q**6/420 - q**5/105 - q**4/84 + 2*q**3/21 - q**2/2 - 4*q. Let w(x) be the first derivative of b(x). Solve w(d) = 0 for d.
-1, 1, 2
Find g such that 0 + 7/4*g**4 - 3/2*g**3 + g**5 - 7/4*g**2 + 1/2*g = 0.
-2, -1, 0, 1/4, 1
Find n, given that -16*n**4 + 2*n**5 + 22*n**4 - 8*n**4 = 0.
0, 1
Determine x, given that 1/7 - 3/7*x**3 - 5/7*x**2 - 1/7*x = 0.
-1, 1/3
Let v(l) be the second derivative of 8*l**5/35 + 4*l**4/7 - 3*l**3 + 27*l**2/7 - 17*l + 2. Factor v(y).
2*(y + 3)*(4*y - 3)**2/7
Solve -510*t**3 - 2*t**4 + 508*t**3 + 0*t**2 + 4*t**2 = 0.
-2, 0, 1
Factor 8*r**2 - 4*r - 1 + 1 - 2*r**4 + 4*r**5 - 6*r**4.
4*r*(r - 1)**3*(r + 1)
Let q(o) = 6*o**3 - o**2 - 5*o + 5. Let b(i) = -i**3 + i - 1. Let l(f) = 5*b(f) + q(f). Find z, given that l(z) = 0.
0, 1
Suppose -5*c + 24 = 4, 4*l = 5*c - 20. Factor 1/6*q**2 + l - 1/6*q.
q*(q - 1)/6
Factor -4*j**4 - 6*j**5 + 3*j**3 + 8*j**2 + j**3 - 4*j**2 + 2*j**5.
-4*j**2*(j - 1)*(j + 1)**2
Let s = -343 + 123. Let c be 33/s - 4/(-10). Find f such that 0*f + c*f**4 + 0*f**2 + 1/4*f**3 + 0 = 0.
-1, 0
Let r(p) = -p**3 + 9*p**2 + 2. Let b be r(9). Suppose -15*u + b = -14*u. Factor 1/3*k - 1/3*k**u + 2/3.
-(k - 2)*(k + 1)/3
Suppose 4*q = -h - 3*h - 4, -3*h = -q - 1. Let u be 4 + -2 + 1 + q. Let 0*r**4 + 2*r**4 - r**5 - u*r**3 + 3*r**3 - 2*r**2 = 0. Calculate r.
-1, 0, 1, 2
Let d(a) be the second derivative of 5*a**7/6 - 23*a**6/6 + 3*a**5/2 + 35*a**4/3 - 20*a**3/3 + a - 2. Find v such that d(v) = 0.
-1, 0, 2/7, 2
Let t(f) be the first derivative of -f**6/12 + 3*f**5/5 - 3*f**4/2 + 4*f**3/3 - 4. Find o, given that t(o) = 0.
0, 2
Let q(a) be the second derivative of a**6/240 - 3*a**5/160 + a**4/48 - 8*a. Let q(o) = 0. Calculate o.
0, 1, 2
Find s, given that -8*s**3 + 4*s + 4*s**5 - 469 + 469 = 0.
-1, 0, 1
Let i be (-1)/10 + (-4 - -4). Let k = 2/5 - i. Solve k*f + 0*f**2 - 1/2*f**3 + 0 = 0 for f.
-1, 0, 1
Let s(x) be the second derivative of -x**7/84 - x**6/60 + 3*x**5/40 + 5*x**4/24 + x**3/6 - 19*x. Factor s(f).
-f*(f - 2)*(f + 1)**3/2
Factor 0 - 15*u**2 + 3*u**3 + 4 + 9*u**4 - 3*u + 2.
3*(u - 1)*(u + 1)**2*(3*u - 2)
Suppose -q + 5 = 5*n + 4*q, -q = -n + 9. Let w(z) be the first derivative of 2/45*z**n + 3 + 1/9*z**2 + 0*z + 2/9*z**3 + 1/6*z**4. Factor w(p).
2*p*(p + 1)**3/9
Let v(t) be the first derivative of -1/420*t**5 + 0*t + 0*t**2 + 0*t**4 + 1/3*t**3 - 2 + 1/1260*t**6. Let q(g) be the third derivative of v(g). Factor q(x).
2*x*(x - 1)/7
Suppose 8*g = 23*g - 45. Solve -9*p**4 - 69/4*p**g + 33/4*p**2 + 3 + 15*p = 0 for p.
-2, -2/3, -1/4, 1
Let l(f) be the third derivative of -f**7/420 + f**6/60 - f**5/24 + f**4/24 + 3*f**2. Factor l(m).
-m*(m - 2)*(m - 1)**2/2
Let t = 4 + 0. Suppose 0 = 3*n - t*n. Factor -4/5*l**2 + n*l**3 + 2/5*l**4 + 0*l + 2/5.
2*(l - 1)**2*(l + 1)**2/5
Let d = -80 - -562/7. Factor 0 - d*i**2 - 4/7*i + 2/7*i**3.
2*i*(i - 2)*(i + 1)/7
Suppose -6*i - 5 = -i. Let g be (i/(-11))/(3/18). Factor -4/11 + g*v + 4/11*v**2.
2*(v + 2)*(2*v - 1)/11
Suppose -18/5 - 3/5*h**2 + 21/5*h = 0. What is h?
1, 6
Let f(p) be the third derivative of -p**8/42 + 2*p**7/105 + 7*p**6/240 + p**5/120 + 8*p**2. Find b such that f(b) = 0.
-1/4, 0, 1
Let t(u) be the first derivative of -2 + 3*u - 8/3*u**2 - 1/30*u**5 - 1/3*u**4 - 4/3*u**3. Let r(k) be the first derivative of t(k). Let r(b) = 0. Calculate b.
-2
Let k(d) be the first derivative of d**4/42 + d**3/21 - 5*d - 5. Let f(p) be the first derivative of k(p). Determine j so that f(j) = 0.
-1, 0
Let 18/5*q**2 - 27/5*q - 6/5 + 3*q**3 = 0. Calculate q.
-2, -1/5, 1
Let h(z) be the second derivative of 3*z**5/100 - z**3/10 - 5*z. Factor h(f).
3*f*(f - 1)*(f + 1)/5
Let b = -1 - 2. Let y be (b/10)/((-6)/8). Let -2/5*q + 0 + 0*q**2 + y*q**3 = 0. Calculate q.
-1, 0, 1
Let c = 107/179 - -2/895. What is s in -1/5*s**2 + c*s + 0 = 0?
0, 3
Let t(y) be the second derivative of -y**4/6 + 2*y**3/3 - y**2 + 10*y. Suppose t(a) = 0. Calculate a.
1
Let q(u) be the third derivative of u**7/945 - u**6/270 - u**5/90 + u**4/27 + 4*u**3/27 - 2*u**2. Factor q(a).
2*(a - 2)**2*(a + 1)**2/9
Let s = -3/191 - -391/573. Let k be 2/2*4 - 2. Factor -2/3 + s*x**3 + 2*x - k*x**2.
2*(x - 1)**3/3
Let u(k) = 6*k**4 - 18*k**3 + 12*k**2 - 5*k + 5. Let x(s) = 3*s**4 - 9*s**3 + 6*s**2 - 3*s + 3. Let n(q) = -3*u(q) + 5*x(q). Find y such that n(y) = 0.
0, 1, 2
Let w(s) = 1377*s**4 - 1171*s**3 + 336*s**2 - 37*s. Let o(k) = -689*k**4 + 585*k**3 - 168*k**2 + 19*k. Let v(h) = 5*o(h) + 3*w(h). Solve v(c) = 0 for c.
0, 2/7
Let c(t) = -3*t**2 - 17*t. Let h(x) = -50*x**2 - 290*x. Let v(r) = 35*c(r) - 2*h(r). Factor v(s).
-5*s*(s + 3)
Factor -4*g - 4 - g**2 + 5*g + 4.
-g*(g - 1)
Let d(k) be the third derivative of 5*k**2 + 0*k + 0 + 1/48*k**4 + 1/240*k**5 + 1/24*k**3. What is w in d(w) = 0?
-1
Let h(s) = -s + 20. Let c be h(14). Let o(y) be the second derivative of 0*y**2 - 2*y + 0 + 0*y**3 + 1/12*y**4 - 1/30*y**c + 0*y**5. Let o(m) = 0. Calculate m.
-1, 0, 1
Let c be 116/12*(-12)/8. Let v = -14 - c. Factor 1/2*h**4 - h**3 + 0 - v*h**2 + h.
h*(h - 2)*(h - 1)*(h + 1)/2
Let q(l) be the first derivative of -2/5*l + 3/5*l**2 - 2/5*l**3 - 3 + 1/10*l**4. Factor q(x).
2*(x - 1)**3/5
Let b(p) = 8*p**3 - 20*p**2 + 8*p + 2. Let d(t) = -16*t**3 + 39*t**2 - 15*t - 3. Let c(w) = 5*b(w) + 2*d(w). Factor c(y).
2*(y - 2)*(y - 1)*(4*y + 1)
Let c(q) = q - 6. Let z be c(8). Let d be 0/2 + z/3. Factor 0*o**2 - 10/3*o**4 + 0 + 0*o - d*o**3 - 4*o**5.
-2*o**3*(2*o + 1)*(3*o + 1)/3
Let c(f) be the second derivative of 3*f**5/10 - 5*f**4/3 - 8*f**3/3 + 20*f. Factor c(p).
2*p*(p - 4)*(3*p + 2)
Let w(s) be the second derivative of 2*s**4/3 + 3*s**3 + 2*s**2 + 49*s + 2. Factor w(n).
2*(n + 2)*(4*n + 1)
Let y(u) = 2*u**3 - 13*u**2 - u - 42. Let c be y(7). Determine o so that c*o**3 + 12/5*o**2 + 6/5 - 2/5*o**4 + 16/5*o = 0.
-1, 3
Determine h so that -42/13*h - 36/13 - 16/13*h**2 - 2/13*h**3 = 0.
-3, -2
Find a, 