 0 + 0*q.
-2*q**2*(q - 1)/5
Determine l so that -3/4*l - 5/8*l**2 + 1/8*l**3 + 0 = 0.
-1, 0, 6
Let c(k) be the first derivative of 1/6*k**4 - 2/9*k**3 - 1/3*k**2 + 1 + 2/3*k. Find m such that c(m) = 0.
-1, 1
Let f(h) be the first derivative of 5*h**3/3 + 35*h**2/2 + 50*h - 36. Factor f(r).
5*(r + 2)*(r + 5)
Let f = -1/53 + 111/265. Factor f*h - 2/5*h**3 + 2/5*h**4 + 4/5 - 6/5*h**2.
2*(h - 2)*(h - 1)*(h + 1)**2/5
Let c(f) be the third derivative of 1/45*f**5 + 0*f**3 + 0*f + 1/36*f**4 + 0 + 1/180*f**6 + 3*f**2. Factor c(l).
2*l*(l + 1)**2/3
Suppose -2*l + 2*j = -2*j - 4, -j = 5*l - 10. Suppose -2*a = y - 2, l*y + 14 = 5*a - 0. What is q in -1 + 1 + 1 - a + q**2 = 0?
-1, 1
Suppose 0 = 3*x - 16 - 11. Factor -w + 4*w**4 - 2*w - x*w**3 + 9*w**2 - w**4.
3*w*(w - 1)**3
Let v(q) = -4*q + 12. Let o be v(2). Let 0 + 0*w + 6/7*w**o + 2/7*w**3 - 4/7*w**2 = 0. What is w?
-1, 0, 2/3
Suppose 4*i + 5*w + 13 = 3*i, 5*w = 2*i - 19. Factor 0*h + 4/3*h**i + 0 + 4/3*h**3 + 1/3*h**4.
h**2*(h + 2)**2/3
Let i(r) be the third derivative of -r**5/60 - r**4/24 + r**3 - 13*r**2. Suppose i(l) = 0. Calculate l.
-3, 2
Let f(v) be the third derivative of v**6/56 - 2*v**5/35 - v**4/14 + 45*v**2. Let f(d) = 0. Calculate d.
-2/5, 0, 2
Let u = 14 + -13. Let c(h) be the first derivative of -1/12*h**3 - 1/16*h**4 + 1/4*h + 1/8*h**2 - u. Let c(y) = 0. Calculate y.
-1, 1
Suppose 10 = -6*u + u. Let z be (4 + 0 + -6)*u. Let -24/11*q**z - 14/11*q**5 - 6/11*q**3 + 0*q + 4/11*q**2 + 0 = 0. Calculate q.
-1, 0, 2/7
Suppose 0*n - n - 2 = 0. Let j be 8/1 - (1 - n). Solve -3*w**5 - 4*w**4 + 4*w**4 - 3*w**4 + 0*w**j = 0 for w.
-1, 0
Let r(n) be the second derivative of n**6/70 + 3*n**5/28 + 3*n**4/28 - 9*n**3/14 + 5*n. Factor r(f).
3*f*(f - 1)*(f + 3)**2/7
Let w(j) = j**3 - 5*j**2 - 5*j - 4. Let u be w(6). Let x(n) be the second derivative of -n + 0 - 1/12*n**4 - 2*n**u - 2/3*n**3. Find r such that x(r) = 0.
-2
Let j be -1 - -1*(10 + 0). Let l = j - 6. Solve -3*q**3 + 3*q**2 + l*q**4 - q**2 - 3*q**3 + q**2 = 0 for q.
0, 1
Let n(w) be the first derivative of 4*w**3/3 - 12*w**2 - 64*w - 25. Determine r, given that n(r) = 0.
-2, 8
Let v = 583 - 5225/9. Factor -14/9*q**3 + 4/9 + 32/9*q**2 - v*q.
-2*(q - 1)**2*(7*q - 2)/9
Let j(w) be the third derivative of -1/9*w**3 - 2*w**2 + 0 + 0*w - 1/315*w**7 + 1/45*w**6 + 1/9*w**4 - 1/15*w**5. Let j(m) = 0. What is m?
1
Suppose 7*o + 4*o = 22. Factor 0 + 2/7*y**o + 0*y.
2*y**2/7
Let b = -5/327 + 64429/654. Let q = b - 94. Factor 3/2*v**3 + 0*v**2 + 3 - q*v.
3*(v - 1)**2*(v + 2)/2
Let m(z) be the first derivative of -z**4/3 + 8*z**3/3 - 6*z**2 - 2*z - 4. Let c(b) be the first derivative of m(b). Determine n, given that c(n) = 0.
1, 3
Suppose 2/3 - 2/3*g**5 - 2/3*g - 4/3*g**2 + 2/3*g**4 + 4/3*g**3 = 0. What is g?
-1, 1
Let y(m) = 3*m**3 - 7*m**2 - 2*m + 4. Let x(i) = -2*i + 3 + 3*i**3 - 6*i**2 + i**3 - 2*i**3. Let t(f) = 4*x(f) - 3*y(f). Let t(d) = 0. What is d?
-2, -1, 0
Let v be -1 + 0 + -2 + 5. Let c be (-9)/2 + v/4. Let r(b) = b**3 + b - 1. Let x(o) = -o**4 + 5*o**3 + 4*o - 4. Let p(l) = c*r(l) + x(l). Factor p(m).
-m**3*(m - 1)
Let a = -23 + 67. Let n be (-56)/(-66) + (-8)/a. Determine v, given that -n*v + 2*v**2 - 4/3 = 0.
-2/3, 1
Let l(i) be the second derivative of 0 - 1/3*i**3 - 1/24*i**4 + 8*i - i**2. Find c such that l(c) = 0.
-2
Let v(w) be the first derivative of 2*w**6/21 + 32*w**5/35 + 25*w**4/7 + 152*w**3/21 + 8*w**2 + 32*w/7 - 1. Determine i, given that v(i) = 0.
-2, -1
Let d(k) = 8*k**4 + 14*k**3 + 22*k**2 + 13*k + 11. Let r(l) = -l**4 - l**3 - l**2 - 1. Let q(v) = -5*d(v) - 35*r(v). Let q(w) = 0. Calculate w.
-4, -1
Let y(g) be the third derivative of 2*g**5/105 + 3*g**4/28 + 2*g**3/21 - 3*g**2. Factor y(i).
2*(i + 2)*(4*i + 1)/7
Let h(r) be the first derivative of -r**3 + 9*r**2/2 - 2. What is i in h(i) = 0?
0, 3
Let m = 4 + -2. Factor 0 + 0*n**2 + 2*n + 2*n**m + 0.
2*n*(n + 1)
Let v be 3*(2/5)/(4/10). Let k(c) be the first derivative of 1/20*c**5 + 1/4*c**2 - 1/4*c + 0*c**v - 1/8*c**4 - 3. Factor k(d).
(d - 1)**3*(d + 1)/4
Let h = 15426/7 - 2198. Let v = -106/21 + h. Factor -2/3*c**2 + 0 + v*c.
-2*c*(c - 1)/3
Let q(g) be the second derivative of g**4/6 + 7*g**3/6 + g**2 + 3*g. Let n(p) = 5*p - 3*p - 3*p. Let w(h) = -3*n(h) - q(h). Find s such that w(s) = 0.
-1
Find w such that 4*w**3 + 10*w - 24*w**2 - 4*w**2 + 4*w + 10*w = 0.
0, 1, 6
Let p be 1 - -6*(-8)/(-12). Factor -22*k + p + 4 + 3*k**2 + 10*k.
3*(k - 3)*(k - 1)
Let i(q) be the first derivative of -q**7/840 - q**6/360 + q**5/60 + 2*q**3/3 - 1. Let w(k) be the third derivative of i(k). Factor w(c).
-c*(c - 1)*(c + 2)
Let q be -11 + (-399)/(-35) + (-24)/(-15). Let c be (0 + -1)*1/(-6). Factor c*l - 1/6*l**q - 1/6*l**3 + 1/6*l**4 + 0.
l*(l - 1)**2*(l + 1)/6
Let s = -15 - -17. Let m(z) = z + 3. Let h be m(0). Solve 21*x**3 - 5*x**h - 7*x**4 + x**s - 5*x**2 = 0 for x.
0, 2/7, 2
Let y(g) = -g**3 + 2*g**2 + 3*g - 3. Let a be y(2). Determine o so that -o**4 + 0*o**a - 2*o + 1 + 2*o**3 + 0*o**3 = 0.
-1, 1
Let p = 20 - 30. Let d be ((-16)/p)/(2/5). What is b in -b**2 + 0 - 1 - 3 - d*b = 0?
-2
Let x = 17 - 24. Let q be (-3)/x - (-57)/(-133). Let -3/7*s**3 + 0 + 3/7*s**2 + q*s = 0. Calculate s.
0, 1
Suppose 0 = -5*z + 1 + 4. Suppose -z - 3*r**2 - 4*r + 8*r + 2*r - 2 = 0. What is r?
1
Determine t so that 4*t**2 - 3*t + 14*t + t - 7*t = 0.
-5/4, 0
Let u(o) be the third derivative of -o**8/560 - 3*o**7/175 - 3*o**6/50 - o**5/10 - 3*o**4/40 + 5*o**2 + 1. Factor u(w).
-3*w*(w + 1)**3*(w + 3)/5
Let g(n) be the second derivative of n**7/420 + n**6/45 + n**5/12 + n**4/6 - n**3/6 + 3*n. Let c(f) be the second derivative of g(f). Factor c(o).
2*(o + 1)**2*(o + 2)
Factor 0 + 4/3*s**2 + 4/3*s.
4*s*(s + 1)/3
Let c(j) be the second derivative of -j**5/90 + 2*j**4/27 - 4*j**3/27 + 14*j. Factor c(d).
-2*d*(d - 2)**2/9
Let b(l) be the second derivative of -3/4*l**4 + 3/10*l**5 + 0*l**2 + 3/10*l**6 + 3*l - l**3 + 0. Factor b(f).
3*f*(f - 1)*(f + 1)*(3*f + 2)
Suppose -40 = -3*t + 14. Solve 29*w - 20*w**4 + t*w**3 + 12*w**5 - 29*w - 7*w**4 - 3*w**2 = 0.
0, 1/4, 1
Let 8/3*m**2 - 4/3*m**4 + 0*m + 0*m**3 - 4/3 = 0. Calculate m.
-1, 1
Let j(p) be the third derivative of p**7/420 + p**6/120 - p**4/24 - p**3/12 - 11*p**2. Find x such that j(x) = 0.
-1, 1
Let o(t) be the second derivative of t**6/420 + t**5/210 - t**4/42 + t**2/2 - 3*t. Let v(z) be the first derivative of o(z). Factor v(h).
2*h*(h - 1)*(h + 2)/7
Suppose 9*u = 15 + 3. Solve -6 + 9*r - 9/2*r**u + 3/4*r**3 = 0 for r.
2
Suppose -7*i + 140 = -2*i. Let y be 78/i + (-2)/7. Determine d, given that -1/2*d**5 - 5*d**3 - 1/2 - 5*d**2 - 5/2*d**4 - y*d = 0.
-1
Let r(y) be the second derivative of -1/54*y**4 - 2*y - 2/27*y**3 - 1/9*y**2 + 0. Let r(l) = 0. What is l?
-1
Suppose 4 = -3*q + q. Let v be (0 - -3) + 5/q. Factor 0*n + v*n**2 + 1/2*n**4 - n**3 + 0.
n**2*(n - 1)**2/2
Let g = 54 + -5827/108. Let j(z) be the third derivative of 2/27*z**3 + 0*z + 1/90*z**5 + g*z**4 + 0 - z**2. Factor j(n).
2*(n + 1)*(3*n + 2)/9
Factor -8/5*c**2 - 8/5*c + 0 - 2/5*c**3.
-2*c*(c + 2)**2/5
Factor 2/7*w**5 - 10/7*w**3 - 2/7*w**4 + 0*w + 0 - 6/7*w**2.
2*w**2*(w - 3)*(w + 1)**2/7
Let o be 3 - 65/25 - (-6)/(-15). Factor 4/3*c**3 + 0 + 0*c**2 + o*c - 2/3*c**4.
-2*c**3*(c - 2)/3
Let x(z) be the first derivative of 5*z**3 + z**2 - 34. Factor x(d).
d*(15*d + 2)
Let h(k) be the first derivative of -2*k**6/27 + 4*k**5/5 - 5*k**4/3 + 28*k**3/27 + 41. Factor h(o).
-4*o**2*(o - 7)*(o - 1)**2/9
Let b(z) = -8*z**3 + 4*z**2 + 17*z - 13. Let t(a) = -a**3 + a**2 + a - 1. Let d(k) = 4*b(k) - 36*t(k). Factor d(w).
4*(w - 2)**2*(w - 1)
Let a(c) = -2*c + 26. Let q be a(11). Let u(o) = -3*o**2 + 11*o - 8. Let m(s) = s**2 - 4*s + 3. Let f(b) = q*u(b) + 11*m(b). Factor f(h).
-(h - 1)*(h + 1)
Let y be ((-2)/(-6))/(1/(-3)). Let r(x) = -4*x**5 + 2*x**4 - 4*x**3 + 6. Let i(f) = -f**5 + f**4 - f**3 + 1. Let l(p) = y*r(p) + 6*i(p). Solve l(z) = 0 for z.
0, 1
Let v be (-10)/(-2) - (-1 - 0). Suppose -v*u = -2*u. Suppose 3*g + g**2 + u - g + 1 = 0. What is g?
-1
Let p(y) be the third derivative of 0 - 1/420*y**6 - 3*y**2 + 0*y**5 + 1/84*y**4 + 0*y + 0*y**3. Solve p(h) = 0.
-1, 0, 1
Suppose 140 = 7*a - 12*a. Let m be (-8)/a - (-9)/42. Find z such that -m*z**5 - 1/2*z**4 + 0*z + 0 + 0*z**2 + 0*z**3 = 0.
-1, 0
Let m 