2*v**4 + 5*v**2 - 2*v**4 - v**2 + 6*v**q - 10*v**4.
-2*v**2*(v - 1)*(5*v + 2)
Suppose -5*f - 3*i + 38 = 0, i - 7 = 2*f - 20. Suppose 6 = 3*x + 2*h, 4*h = 5*x - 3 - f. Factor -q - 2*q**3 - 2*q**x - q + q**2 + 5*q**2.
-2*q*(q - 1)**2
Let r(w) be the first derivative of -7*w**4 - 4*w**3 + 35. Suppose r(j) = 0. Calculate j.
-3/7, 0
Let q(a) = 6*a**2 + 11*a + 5. Let n(v) = 6*v**2 + 12*v + 6. Let h(f) = -2*n(f) + 3*q(f). Suppose h(g) = 0. Calculate g.
-1, -1/2
Let w(l) = l**3 - 6*l**2 - 6*l - 3. Let r be w(7). Let j be 24/11 - r/22. Factor 2*q**3 - j*q**3 - q**2 + q**3.
q**2*(q - 1)
Let w(t) be the third derivative of -1/360*t**6 - 2*t**2 + 0*t**3 + 0*t + 0*t**5 + 0 + 1/2016*t**8 + 1/144*t**4 + 0*t**7. Factor w(r).
r*(r - 1)**2*(r + 1)**2/6
Suppose 11 = -4*i + 27. Factor 0 + 2/7*z**5 + 0*z**3 + 0*z**2 - 2/7*z**i + 0*z.
2*z**4*(z - 1)/7
Suppose 4*c - 21 = 91. Factor -30*v**2 - 3*v**4 + c*v**2 - v**4 - v**5 - 5*v**3.
-v**2*(v + 1)**2*(v + 2)
Let p(n) = -7*n**2 - 2*n + 2. Let s(x) = -8*x**2 - 2*x + 3. Let j(v) = 3*p(v) - 2*s(v). Factor j(k).
-k*(5*k + 2)
Suppose 19*k - 37 = 1. Factor 1/4*p**k + 0*p - 1/4.
(p - 1)*(p + 1)/4
Let r(i) = -6*i + 1. Let m be r(1). Let z = 7 + m. Suppose -4 + 5 + d**2 - 3*d + d**z = 0. Calculate d.
1/2, 1
Let g(w) = -6*w**3 - 2*w**2 - 4. Let t(h) = -7*h**3 - 3*h**2 - 5. Let x(i) = i**3 - 2*i**2 + 2*i. Let a be x(2). Let b(r) = a*t(r) - 5*g(r). Factor b(p).
2*p**2*(p - 1)
Let m = 37 - 147/4. Let i = 657/4 - 163. What is f in m*f**2 + 0 + 0*f + 3/4*f**5 - i*f**4 + 1/4*f**3 = 0?
-1/3, 0, 1
Let y = 11 + -7. Suppose -2/9*k**5 + 4/9*k**3 + 14/9*k + 4/9 + 16/9*k**2 - 4/9*k**y = 0. Calculate k.
-1, 2
Let b(s) be the first derivative of -3*s**4/4 + s**3 + 1. Factor b(h).
-3*h**2*(h - 1)
Let o(t) be the second derivative of 5*t**4/4 + 35*t**3/6 - 15*t**2 - 4*t. Factor o(h).
5*(h + 3)*(3*h - 2)
Let s be (42/35)/((-3)/(-10)). Factor 5*m**s + 2*m - 2*m**3 + 0*m**4 - m**4 - 3*m**4 - 1.
(m - 1)**3*(m + 1)
Let m(c) be the third derivative of -c**6/120 + c**5/60 + 5*c**4/24 + c**3/2 + 22*c**2. Determine i so that m(i) = 0.
-1, 3
Let v be (-18 + 3)*4/10. Let r = v + 9. Factor -7*g**2 - 8*g**2 - 36*g**4 + 10*g**5 - g**2 + 44*g**r + 4 - 6*g.
2*(g - 1)**4*(5*g + 2)
Let w(h) be the third derivative of h**8/8400 + h**7/2100 - h**3/2 - h**2. Let c(k) be the first derivative of w(k). Let c(y) = 0. Calculate y.
-2, 0
Suppose 10*h - 9*h = 0. Let s(p) be the third derivative of -1/360*p**6 - p**2 - 1/72*p**4 + 0 + 0*p + 1/90*p**5 + h*p**3. Factor s(i).
-i*(i - 1)**2/3
Let r(c) = 2*c**2 - 2*c - 14. Let w(l) = 5*l**2 - 7*l - 41. Let f(s) = -7*r(s) + 2*w(s). What is a in f(a) = 0?
-2, 2
Let g be (6 - (6 + -2))/12. Let o(x) be the first derivative of -5/9*x**3 - 1/3*x + g*x**4 - 1 + 2/3*x**2. Factor o(s).
(s - 1)**2*(2*s - 1)/3
Let x(h) = -h**2 + h. Let g(i) = 20*i**2 - 100*i - 24. Let s(p) = -g(p) + 24*x(p). Determine k so that s(k) = 0.
-2/11, 3
Let j(h) be the first derivative of 2*h**5 - 5*h**4/4 - 10*h**3 - 5*h**2/2 + 10*h - 22. Factor j(c).
5*(c - 2)*(c + 1)**2*(2*c - 1)
Let d be (-64)/(-48) - 1/(-6). Determine i so that -1/2*i**3 + 1/2 + 3/2*i**2 - d*i = 0.
1
Let b(s) be the second derivative of s**5/20 - 5*s**4/12 - 13*s**3/6 - 7*s**2/2 - 32*s. Factor b(g).
(g - 7)*(g + 1)**2
Let v = -12/77 - -344/231. Solve 0 - 2/3*f**4 + 2/3*f**2 + 2/3*f**5 + v*f - 2*f**3 = 0 for f.
-1, 0, 1, 2
Suppose 36*z - 216 - 3/2*z**2 = 0. Calculate z.
12
Let h = -4 + 4. Suppose 0 = 5*m - h*m. Factor m - 1/2*b - 1/2*b**2.
-b*(b + 1)/2
Let o be 2 + (-18)/20 - (-5 + 6). Let c(b) be the second derivative of 1/2*b**4 + 0 + o*b**5 + b**3 + b**2 + 4*b. Suppose c(f) = 0. What is f?
-1
Let k(r) be the third derivative of -r**6/180 + r**5/90 + r**4/18 + 18*r**2. Factor k(l).
-2*l*(l - 2)*(l + 1)/3
Suppose 7/2*r**4 - 1 - 45/4*r**3 + 0*r + 35/4*r**2 = 0. What is r?
-2/7, 1/2, 1, 2
Let l(a) = a - 3. Let n be 4/(-10) + 108/20. Let b be l(n). Factor 3*d**3 - 3*d**3 - b*d**3.
-2*d**3
Let p be 4/(-38) + (-952)/(-2907). Factor -2/9*c - 2/3*c**2 + 4/9 + 2/9*c**4 + p*c**3.
2*(c - 1)**2*(c + 1)*(c + 2)/9
Let a(l) = l**3 + 8*l**2 + 3. Let u be a(-8). Suppose u*i - 3 = 3*r, 3 = -5*r + 8. Factor -3*q**i - q**4 + 3*q**2 + q**2.
-q**2*(q - 1)*(q + 1)
Let t(j) be the third derivative of -j**8/1176 + j**7/245 - j**6/420 - j**5/70 + j**4/42 + 6*j**2. Solve t(k) = 0.
-1, 0, 1, 2
Let f(m) be the second derivative of m**7/210 - m**6/60 - m**5/30 - m**3/3 - 3*m. Let n(v) be the second derivative of f(v). Factor n(j).
2*j*(j - 2)*(2*j + 1)
Let g(t) be the first derivative of -t**5/240 - t**4/24 - t**3/6 + t**2/2 + 1. Let c(u) be the second derivative of g(u). Factor c(f).
-(f + 2)**2/4
Let s be 1*(0 - 0) - -4. Suppose -s*k + k = 6. Let t(m) = -4*m**2 - 4*m. Let f(n) = 4*n**2 + 5*n. Let z(x) = k*f(x) - 3*t(x). Solve z(l) = 0 for l.
-1/2, 0
Let z = -332 - -335. Factor -2/3*y**z + 0 + 0*y + 0*y**2.
-2*y**3/3
Let i(u) be the first derivative of -2/45*u**5 + 0*u + 1/9*u**2 - 2/9*u**3 + 3 + 1/6*u**4. Factor i(k).
-2*k*(k - 1)**3/9
Let o(x) = -x**2 + 8*x + 1. Let i be o(8). Suppose 2*k - i = 7. Factor 0*w**2 + 0 - 2/5*w**k - 2/5*w**3 + 0*w.
-2*w**3*(w + 1)/5
Suppose -5*p = -4*b + 89, -b + 5*b = 2*p + 74. Let r be b/10 + 8/20. Factor 0 + 1/4*n**r + 1/2*n.
n*(n + 2)/4
Let h(d) be the third derivative of -d**5/510 - d**4/34 - 5*d**3/51 + 6*d**2. Suppose h(m) = 0. What is m?
-5, -1
Let w(q) = q - 5. Let a be w(10). Suppose -a*f = 25, -3*f - 18 = -4*v - f. Suppose -2*h**2 + 6*h**2 - 2*h + 0*h**v - 2*h**3 = 0. Calculate h.
0, 1
Let b(j) = -4*j**4 - j**3 - j**2 - 3*j - 3. Let m = -6 - -3. Let q(f) = -3*f**4 - f**2 - 2*f - 2. Let a(o) = m*q(o) + 2*b(o). Factor a(y).
y**2*(y - 1)**2
Let u(y) be the first derivative of y**4/6 + 2*y**3/3 + 2*y**2/3 - 2. Determine s so that u(s) = 0.
-2, -1, 0
Let g(t) be the second derivative of t**5/10 + 23*t**4/42 + 20*t**3/21 + 4*t**2/7 + 7*t. Let g(l) = 0. Calculate l.
-2, -1, -2/7
Let b(a) be the first derivative of 3*a**4/4 + a**3 - 4. Factor b(r).
3*r**2*(r + 1)
Let k(f) = 3*f**3 - 2*f**2 + 2*f. Let j(h) = -13*h**3 + 9*h**2 - 9*h. Let v(x) = -2*j(x) - 9*k(x). Solve v(y) = 0 for y.
0
Solve 0*i**2 + 4/9*i**3 - 2/9 - 4/9*i + 2/9*i**4 = 0 for i.
-1, 1
Let r(m) be the first derivative of -4/7*m**2 - 1/42*m**4 - 1 - 4*m + 4/21*m**3. Let u(v) be the first derivative of r(v). Factor u(a).
-2*(a - 2)**2/7
Suppose -5*s - 4*f - 4 = -2*s, 2*f - 8 = -4*s. Suppose s*z - 5*x + 4 = 17, -5*x + 5 = 5*z. Determine a, given that -a**2 - 2*a**z + 2*a + 5*a**2 = 0.
-1, 0
Find z such that -2 + 5/3*z**2 - 13/3*z = 0.
-2/5, 3
Let 5 + 1/5*r**2 + 2*r = 0. Calculate r.
-5
Let y = -5 - -16. Suppose -8*t + 4 = -4*t, 3*g - y = -5*t. Factor 18/7*f**g - 2/7*f - 2/7 + 8/7*f**4 - 22/7*f**3.
2*(f - 1)**3*(4*f + 1)/7
Solve 16/3 + 8/3*k - 10/3*k**3 - 2/3*k**4 - 4*k**2 = 0.
-2, 1
Let k be 80/13 + (-10)/65. Suppose -4*p = -6*p + k. Factor 1/2 - q**2 + 0*q**p + 1/2*q**4 + 0*q.
(q - 1)**2*(q + 1)**2/2
Let n(f) = -f**3 + 17*f**2 + 38*f + 2. Let m be n(19). Solve -12/5 + 16/5*k**m - 44/5*k = 0.
-1/4, 3
Let z = 129 + -127. Determine q, given that q**3 + 11/4*q**z - 1/2 + 5/4*q = 0.
-2, -1, 1/4
Suppose 2/3*s**4 + 0 - 2/3*s**2 + 0*s + 2/3*s**5 - 2/3*s**3 = 0. Calculate s.
-1, 0, 1
Let w(k) be the second derivative of -k**6/600 - k**5/50 - 3*k**4/40 + 2*k**3/3 + 3*k. Let c(s) be the second derivative of w(s). Factor c(t).
-3*(t + 1)*(t + 3)/5
Let 5/4*o - 3/2*o**2 - 2*o**3 + 3/4*o**5 + 1/2 + o**4 = 0. Calculate o.
-2, -1, -1/3, 1
Let u(q) = -q**2 - 22*q + 107. Let r be u(4). Factor 2/7*b**r - 4/7*b**2 + 0 + 0*b.
2*b**2*(b - 2)/7
Let o(h) be the second derivative of 5*h**4/18 - 5*h**3/18 - 10*h. Factor o(v).
5*v*(2*v - 1)/3
Let q(l) be the first derivative of 0*l - 2 + l**2 - 1/3*l**3 + 1/30*l**5 + 0*l**4. Let d(h) be the second derivative of q(h). What is i in d(i) = 0?
-1, 1
Solve -12*s**3 + 7*s**3 - 4*s**4 + 2*s**5 + 7*s**3 = 0.
0, 1
Let p(f) be the first derivative of f**6/2 + 21*f**5/20 - 3*f**4/8 + 26. What is j in p(j) = 0?
-2, 0, 1/4
Let f(g) be the second derivative of g**5/90 + g**4/54 - 2*g**3/27 + 8*g. Factor f(z).
2*z*(z - 1)*(z + 2)/9
Let u(b) = b**3 + 14*b**2 + 12*b - 10. Let m be u(-13). Suppose -4*q + 5*q = m. Factor 0*d**2 - 2/9*d**q + 2/9*d + 0.
-2*d*(d - 1)*(d + 1)/9
Let w(a) = -a**3 - 5*a**2 + 7*a + 6. Let t