u*t + t.
t*(t + 1)
Let d = -585 + 4097/7. Factor 4/7*x**3 + 0*x**2 - d*x**4 + 0 + 0*x.
-2*x**3*(x - 2)/7
Suppose -3*l = -0 - 12. Let h(q) be the third derivative of 3*q**2 + 0*q**5 + 0 - 1/6*q**3 + 1/240*q**6 + 0*q - 1/16*q**l. Solve h(i) = 0.
-1, 2
Let o(i) = i**2 - 15*i - 34. Let z be o(17). Solve -1/3*q**3 + z + 0*q**4 + 1/3*q**5 + 0*q + 0*q**2 = 0.
-1, 0, 1
Let k(h) = h**2 - h + 1. Let q(m) be the second derivative of 5*m**4/12 + 5*m**3/6 + 11*m**2/2 + 2*m. Let u(b) = 3*k(b) - q(b). Factor u(v).
-2*(v + 2)**2
Suppose 0*h + 5*c = 3*h - 19, 0 = -3*h + 3*c + 15. Let g(s) be the first derivative of -3 - 2/9*s + 1/18*s**4 + 2/27*s**h - 1/9*s**2. Let g(m) = 0. Calculate m.
-1, 1
Suppose 0*w = 3*w - 6. Factor r - r**w + 5 - 3 + 0.
-(r - 2)*(r + 1)
Suppose 15 = 3*y - 0*y. Factor 3*l**4 + 3*l**3 + 2*l**5 + 3*l**y - 3*l**5 - 3*l**2 - 5*l**5.
-3*l**2*(l - 1)**2*(l + 1)
Let f be (32/(-4))/(-2) + 7/(-2). Determine r so that 1/2*r**2 - f*r - 1 = 0.
-1, 2
Factor 2/9*r**2 - 2/9*r**3 + 0 + 0*r.
-2*r**2*(r - 1)/9
Let c be (3 + -15)/(-4) + -2 + 2. Factor -1/5*q**c - 1/5*q**2 + 1/5*q**4 + 1/5*q**5 + 0*q + 0.
q**2*(q - 1)*(q + 1)**2/5
Factor 9*u**2 - 8*u**2 + 2*u**2 - 5*u + 2*u**2.
5*u*(u - 1)
Factor 1/5*d**2 - 3/5*d + 2/5.
(d - 2)*(d - 1)/5
Let g be ((-28)/21)/(10/(-3)). Let c(o) be the first derivative of 0*o + g*o**2 - 1/10*o**4 - 3 - 2/15*o**3. Solve c(p) = 0.
-2, 0, 1
Find y, given that 31*y**3 - 6*y + 3*y**2 + 0*y**2 - 28*y**3 = 0.
-2, 0, 1
Suppose -f - 2*f + o = -16, f - 5*o = 24. Suppose f*v = 3*v. Suppose -z**5 + v*z**5 + z**4 - 1 + 1 = 0. What is z?
0, 1
Let h(b) = -5*b**4 - b**3 + 5*b**2 + b + 3. Let o = -1 - -2. Let y(w) = -2 + 4*w**2 - o - 4*w**4 + 5. Let i(p) = -2*h(p) + 3*y(p). Factor i(f).
-2*f*(f - 1)**2*(f + 1)
Suppose -5 = -5*b + q, 0 = -5*b - 3*q + 2 - 17. Let t(v) be the first derivative of 2/21*v**3 + b*v - 2 + 1/7*v**2. What is i in t(i) = 0?
-1, 0
Let a(d) be the third derivative of d**7/70 - 3*d**6/40 - 7*d**5/20 + 15*d**4/8 + 9*d**3 + 39*d**2. Factor a(h).
3*(h - 3)**2*(h + 1)*(h + 2)
Let f(b) = b**2 - 18*b - 21. Let m(d) = d**2. Let v(h) = -f(h) - 2*m(h). Factor v(s).
-3*(s - 7)*(s + 1)
Let t(g) be the third derivative of g**5/420 + 5*g**4/168 + 14*g**2. Factor t(k).
k*(k + 5)/7
Let w = -22/19 + 4639/3990. Let p(b) be the third derivative of 0*b + 1/30*b**5 + 0*b**4 + 0*b**3 + 0 + 1/40*b**6 + b**2 + w*b**7. Factor p(j).
j**2*(j + 1)*(j + 2)
Let m be (-4)/(-10) - 8/(-30). Factor 4/3*j**2 + 0 + m*j - 2*j**3.
-2*j*(j - 1)*(3*j + 1)/3
Determine b so that -2 - 4*b**2 + 2*b**2 - 2*b + 2 = 0.
-1, 0
Let k be -3*(-2 + 1) - 1. Solve -4*a**k - 2*a**5 - 4*a - 2*a**4 + 4*a**4 + 6*a**3 + 2*a**2 = 0.
-1, 0, 1, 2
Suppose 4*p + 3*z + 15 = 0, -5*p - 25 = 3*z + 2*z. Suppose p*m = 2*m. Let -1/4*y**3 + m*y**2 + 0 + 0*y**4 + 1/4*y**5 + 0*y = 0. Calculate y.
-1, 0, 1
Let c(s) be the second derivative of 0*s**2 - 3/20*s**5 + 0 + 2*s + 0*s**3 - 1/2*s**4. Determine q so that c(q) = 0.
-2, 0
Let a(c) = c**3 + 2*c**2 - c + 1. Let f be a(-2). Find x such that -1/3*x**f - 2/3*x**2 - 1/3*x + 0 = 0.
-1, 0
Let l be 3/9 - (-19)/(-21). Let a = l - -15/14. Factor 0 + a*g**2 - 3/2*g**3 + g.
-g*(g - 1)*(3*g + 2)/2
Let j(r) = -r + 15. Let a be j(0). Suppose -5*g = -17 + 7. Let -a*h + 3*h + 11 + 7 + g*h**2 = 0. What is h?
3
Suppose 18*c + 6 = 21*c. Factor -4/5 + 0*y**c - 2/5*y**3 + 6/5*y.
-2*(y - 1)**2*(y + 2)/5
Suppose 8*p + 8*p - 5*p**2 + 2*p**4 - 6*p**3 + p**2 - 8*p**2 = 0. What is p?
-2, 0, 1, 4
What is x in 9*x**2 - 8*x + 6 - 7*x**2 + 0*x = 0?
1, 3
Factor -3 + 5*f**2 + 12*f**3 + 4*f - 1 - 15*f**3.
-(f - 2)*(f + 1)*(3*f - 2)
Let d(r) = -r**2 - r + 9. Let q be d(0). Suppose 5*p - q = 2*p. Find w, given that -p*w**4 + 2*w**4 + 3*w**2 - 25*w + 0 - 2 + w**3 + 24*w = 0.
-1, 1, 2
Factor 1/2*z - 1/2*z**3 + 1/2 - 1/2*z**2.
-(z - 1)*(z + 1)**2/2
Let x(q) be the third derivative of -q**8/84 - 2*q**2. Determine d so that x(d) = 0.
0
Let x(s) be the second derivative of -s**7/420 - s**6/90 - s**5/60 + s**3/2 - 9*s. Let v(k) be the second derivative of x(k). Let v(d) = 0. Calculate d.
-1, 0
Let w = -44 - -44. Factor -2/7*v**4 - 2/7*v**2 + w + 0*v + 4/7*v**3.
-2*v**2*(v - 1)**2/7
Let o(y) = -y**2 + y - 1. Let s(p) = -4 - 14*p + 16 + 10*p**2 + 2*p**3 + 2*p**2. Let u(j) = -12*o(j) - s(j). Factor u(v).
-2*v*(v - 1)*(v + 1)
Let x(d) be the second derivative of d**6/6 - 3*d**5/4 + d. Factor x(y).
5*y**3*(y - 3)
Factor 4 - 8/3*j**2 + 2/3*j**3 + 2/3*j.
2*(j - 3)*(j - 2)*(j + 1)/3
Let c(t) be the third derivative of 1/90*t**5 + 0 + 0*t**3 + 1/36*t**4 + 0*t - 2*t**2. Factor c(a).
2*a*(a + 1)/3
Suppose -2*y + g - 1 = 0, -7*g - 2 = -4*y - 9*g. Let 2/7*a**5 + y*a**2 + 0 + 0*a - 2/7*a**3 + 0*a**4 = 0. Calculate a.
-1, 0, 1
Let c = -20/13 - -126/65. Factor 6/5*t + 4/5 + c*t**2.
2*(t + 1)*(t + 2)/5
Suppose c = -c + 4. Let i(l) = -l**2 + 15*l - 54. Let r be i(6). Factor 3/2 - 3*n**c + r*n**3 + 3/2*n**4 + 0*n.
3*(n - 1)**2*(n + 1)**2/2
Let j be (-5)/4*1/(-5). Let c be ((-3)/8)/(120/(-80)). Factor -c*l**2 + 0*l + j.
-(l - 1)*(l + 1)/4
Let j(o) = -4*o**2 + 4*o + 2. Let i(x) = -x**2 + x. Let f(u) = 3*i(u) - j(u). Factor f(l).
(l - 2)*(l + 1)
Suppose 3*v - 9 = 3. Let h(w) be the third derivative of 0 + w**2 + 0*w**3 + 1/385*w**7 - 1/330*w**6 - 1/110*w**5 + 1/66*w**v + 0*w. Solve h(o) = 0.
-1, 0, 2/3, 1
Factor -8/5*p - 2/5*p**2 + 8/5 + 2/5*p**3.
2*(p - 2)*(p - 1)*(p + 2)/5
Suppose 59 + 6 = 5*c. Let z = 27/2 - c. Let 3/2*d - 1/2 + z*d**3 - 3/2*d**2 = 0. Calculate d.
1
Let m = -2 - -3. Factor -2 - 2*a**2 + 2*a - m + 7.
-2*(a - 2)*(a + 1)
Factor -11/8*a**2 + 9/8 + 3/4*a + 1/2*a**4 - 1/2*a**3.
(a + 1)**2*(2*a - 3)**2/8
Let a = -130 - -132. Factor 3*u + 1/4*u**3 - a - 3/2*u**2.
(u - 2)**3/4
Let r = -87 - -89. Determine q, given that 1/3*q**3 + 0*q + 2/3*q**r + 0 = 0.
-2, 0
Let g(m) be the first derivative of -m**8/1200 - 2*m**7/525 - m**6/450 - 5*m**3/3 - 5. Let t(z) be the third derivative of g(z). Factor t(o).
-o**2*(o + 2)*(7*o + 2)/5
Let g(a) be the first derivative of -a**7/42 - a**6/5 - 13*a**5/20 - a**4 - 2*a**3/3 + 2*a + 6. Let m(k) be the first derivative of g(k). Factor m(w).
-w*(w + 1)**2*(w + 2)**2
Factor 0*y**2 + 0 + 2/3*y**3 + 0*y - 5/3*y**4 - 7/3*y**5.
-y**3*(y + 1)*(7*y - 2)/3
Let u(q) be the third derivative of -q**7/11340 - q**6/810 - q**5/135 + q**4/12 + 3*q**2. Let r(b) be the second derivative of u(b). Factor r(z).
-2*(z + 2)**2/9
Let i(j) = j**2 - 15*j + 17. Let v be i(14). Factor -2/9*y**2 - 2/9*y + 2/9*y**v + 2/9*y**4 + 0.
2*y*(y - 1)*(y + 1)**2/9
Suppose -40 = 3*w - 16. Let b = 10 + w. Factor -2*j - 2/3 - 2/3*j**3 - b*j**2.
-2*(j + 1)**3/3
Let x(n) be the second derivative of -8/15*n**6 + 0 + 19/6*n**3 - 19/4*n**4 - n**2 + 14/5*n**5 - 2*n. Let x(h) = 0. What is h?
1/4, 1, 2
Let q(m) be the second derivative of m**7/21 - 2*m**6/75 - 3*m**5/5 + 26*m**4/15 - 31*m**3/15 + 6*m**2/5 + 6*m. Determine l, given that q(l) = 0.
-3, 2/5, 1
Let j be (12/120)/(4/20). Factor -y**2 - j*y**3 - 1/2*y + 0.
-y*(y + 1)**2/2
Determine k, given that -14*k**3 - 10*k**3 + 18*k**2 - 3 + 0*k**3 + 11*k**4 - 2*k**4 = 0.
-1/3, 1
Let j(s) = 5*s**3 + 17*s - 6. Let w(n) = 2*n**3 + 6*n - 2. Suppose 4*a + 12 = 3*a + 3*f, -2*a = -4*f + 14. Let v(b) = a*j(b) - 8*w(b). Factor v(r).
-(r - 1)**2*(r + 2)
Let r be (1 + -1)*(2 + -1). Suppose -4*j = r, 5*f = 2*f - 2*j. Factor f*t**2 + 3*t**3 + 4*t**2 + 32*t**4 + 19*t**3 + 14*t**5.
2*t**2*(t + 1)**2*(7*t + 2)
Let d be (3 - 3)/(-4) + 17. Let p = d - 15. Solve 8/11*l**5 + 2/11*l + 6/11*l**p - 6/11*l**4 - 10/11*l**3 + 0 = 0.
-1, -1/4, 0, 1
Let l(q) be the first derivative of 0*q + 4/3*q**3 + q**2 + 1/2*q**4 + 3. Suppose l(r) = 0. Calculate r.
-1, 0
Factor 9/4*r - 3/4*r**2 - 3/2.
-3*(r - 2)*(r - 1)/4
Let q(a) be the third derivative of -a**7/525 + a**6/180 - a**5/225 + 6*a**2. Determine h so that q(h) = 0.
0, 2/3, 1
Let b be (-20)/(-6) - (-6)/9. Let i be (-8)/b + (5 - 1). Let 10*k**5 + 4*k + 16*k**2 - 8*k - 6*k**3 - i*k**2 - 14*k**4 = 0. Calculate k.
-1, 0, 2/5, 1
Let j(i) be the second derivative of -i**7/6300 + i**6/1800 + 7*i**4/12 + 2*i. Let d(b) be the third derivative of j(b). Let d(t) = 0. Calculate t.
0, 1
Factor -4/3*m**3 + 0 - 8/3*m**2 - 4/3*m.
-4*m*(m + 1)**2/3
Let m(k) = 2*k**2 - 5*k + 5. Let s be m(2). Let a(q) be the first derivative of 0*q - 1/3*q**2 - 2 + 1/9*q*