 - s*q**4 + 1/2*q**2 = 0.
-1, 1
Let h = 165 + -165. Factor -1/2*k**4 + 1/2*k**2 + h + 1/2*k**3 - 1/2*k.
-k*(k - 1)**2*(k + 1)/2
Let r be 4/6*27/(-3). Let v be (-9 - r) + (-6)/(-2). What is q in 1/2*q**2 + 0*q + 1/4*q**4 + v + 3/4*q**3 = 0?
-2, -1, 0
Let n(y) be the first derivative of -2/3*y**3 + 0*y - 1/60*y**6 - 1 + 1/15*y**5 + 1/2*y**2 + 1/12*y**4. Let d(i) be the second derivative of n(i). Factor d(s).
-2*(s - 2)*(s - 1)*(s + 1)
Let p(x) be the second derivative of -x**9/1008 - 3*x**8/560 - x**7/140 - x**3/3 - 3*x. Let h(b) be the second derivative of p(b). Solve h(o) = 0 for o.
-2, -1, 0
Let i(t) = t + 13. Suppose 4*j - j + 5*o = -38, 4*o - 51 = 5*j. Let k be i(j). Solve 2/5*s**k + 8/5 - 8/5*s = 0.
2
Let u(z) be the second derivative of -35*z**7/6 - 35*z**6/3 + 101*z**5/4 + 155*z**4/6 - 130*z**3/3 + 20*z**2 + 2*z. Suppose u(t) = 0. What is t?
-2, -1, 2/7, 1
Let k(g) be the third derivative of 0*g - 1/3*g**3 - 1/12*g**4 - 3*g**2 + 1/60*g**6 + 0 + 1/30*g**5. Factor k(o).
2*(o - 1)*(o + 1)**2
Factor 4/15*i**2 - 2/15*i**3 + 2/5*i + 0.
-2*i*(i - 3)*(i + 1)/15
Let o(k) = k**3 + 2*k**2 - 5*k - 2. Let g be o(-3). Suppose 0*f = 2*f - g. Factor l**f - 3 + 5 + l**2 - 4.
2*(l - 1)*(l + 1)
Let u(n) be the first derivative of n**6/135 - n**5/45 + 2*n**3/27 - n**2/9 + 3*n - 1. Let i(s) be the first derivative of u(s). Determine f so that i(f) = 0.
-1, 1
Let m(s) = -3*s**4 + 7*s**2 + 4*s + 2. Let k(u) = -12*u**4 + 27*u**2 + 15*u + 9. Let t = -8 - -10. Let r(v) = t*k(v) - 9*m(v). Factor r(y).
3*y*(y - 2)*(y + 1)**2
Let x(k) be the third derivative of k**5/90 + k**4/18 - 4*k**2. What is m in x(m) = 0?
-2, 0
Let w(l) be the second derivative of -l**8/2240 - l**7/840 + l**6/120 + 5*l**4/12 + l. Let f(b) be the third derivative of w(b). Find c, given that f(c) = 0.
-2, 0, 1
Let v be 0 + ((-57)/3 - -3). Let w be (6/v)/(15/(-10)). Factor -1/2*o**3 + w*o**5 + 1/4*o + 0*o**2 + 0 + 0*o**4.
o*(o - 1)**2*(o + 1)**2/4
Let h(w) be the first derivative of w**4/8 - w**3/3 - 3*w**2/4 + 1. Factor h(r).
r*(r - 3)*(r + 1)/2
Let s(w) = 16*w**5 + 58*w**4 + 78*w**3 + 42*w**2 - 6. Let l(c) = 48*c**5 + 173*c**4 + 233*c**3 + 127*c**2 - 19. Let m(j) = -2*l(j) + 7*s(j). Factor m(d).
4*(d + 1)**4*(4*d - 1)
Factor -1728 + 42*v - 36*v**2 + 324*v + 66*v + v**3.
(v - 12)**3
Let m(f) = f**2 - 4*f + 3. Suppose 0 = -5*y + 7*r - 3*r - 5, 25 = 5*r. Let u be m(y). Factor 2/9*b**3 - 2/9*b + u*b**2 + 0.
2*b*(b - 1)*(b + 1)/9
Let b be 14/77 - (-42)/11. Let p(u) = 4*u**3 - 9*u**2. Let c(w) = 2*w**3 - 2*w**2 + 2*w**2 - 4*w**2. Let a(m) = b*p(m) - 9*c(m). Solve a(y) = 0.
0
What is p in -14*p**3 + 48*p + 3*p**5 + 0*p**3 + p**3 - 11*p**3 = 0?
-2, 0, 2
Let q(h) be the second derivative of h**6/30 - h**5/20 - h**4/12 + h**3/6 + 4*h. Factor q(n).
n*(n - 1)**2*(n + 1)
Find l such that 5*l**2 - l**4 - 3*l**4 + 3*l**4 + 2*l**4 + 4*l**3 + 2*l = 0.
-2, -1, 0
Let y be (-12)/(-18) - -1*(-2)/4. Let f(n) be the second derivative of -2*n + n**2 + 0*n**3 + 0 - y*n**4. Factor f(z).
-2*(z - 1)*(z + 1)
Let a(x) be the first derivative of -x**6/90 + x**5/60 - 6*x + 3. Let o(z) be the first derivative of a(z). Factor o(w).
-w**3*(w - 1)/3
Factor -2/3*k**3 + 2/3*k**2 + 0 + 0*k.
-2*k**2*(k - 1)/3
Let q(t) be the second derivative of -t**5/70 - 2*t**4/21 - t**3/7 + 21*t. Factor q(c).
-2*c*(c + 1)*(c + 3)/7
Let f(v) = v**3 - v**2 - 5. Let q be f(0). Let j = q - -7. Let -p**2 + j*p**2 - p - p + p**2 = 0. Calculate p.
0, 1
Let g = 9 + -4. Let w be 19/g - (0 + 3). Determine v so that -8/5*v**3 + 4/5*v - 2/5*v**4 + w*v**5 - 2/5 + 4/5*v**2 = 0.
-1, 1/2, 1
Let n(a) be the third derivative of -1/40*a**4 + 0*a - 1/15*a**3 - 3*a**2 + 0 - 1/300*a**5. Factor n(s).
-(s + 1)*(s + 2)/5
Let s = 3 + -2. Factor -b**5 + b + 2*b**5 - 3*b**2 - 2*b**3 + s + b**4 + 0*b**5 + b**2.
(b - 1)**2*(b + 1)**3
Let b be 0 + -2*(-2)/1. Suppose 0*v = 3*v - b*j - 12, -2*j - 6 = -5*v. Factor -p**2 + v*p**2 + 2*p**2 + p.
p*(p + 1)
Suppose 2*y + 5*v = -6, y = 2*y - 3*v - 8. Let s = 4 - y. Solve -2/7*l**4 + 0 - 6/7*l**s - 6/7*l**3 - 2/7*l = 0 for l.
-1, 0
Let l(d) be the third derivative of -d**5/20 + d**4/8 + d**3 + d**2. Factor l(u).
-3*(u - 2)*(u + 1)
Let a be (4/5)/(5/25). Let v(r) be the third derivative of 0*r + 2*r**2 - 1/30*r**6 + 0 - 1/6*r**3 - 1/12*r**a + 7/60*r**5. What is p in v(p) = 0?
-1/4, 1
Suppose 3/4*n**5 - 3/2*n**3 - 3/2*n**2 + 3/4*n**4 + 3/4*n + 3/4 = 0. Calculate n.
-1, 1
Let v = 12 - 8. Find s such that 0*s + 8*s**3 - 8/3*s**2 + 0 + 14/3*s**v = 0.
-2, 0, 2/7
Let b(h) = -24*h**3 + 166*h**2 - 946*h + 1266. Let d(n) = -5*n**3 + 33*n**2 - 189*n + 253. Let m(x) = 6*b(x) - 28*d(x). Factor m(w).
-4*(w - 8)**2*(w - 2)
Let u(s) be the first derivative of 1/2*s**3 - 3/10*s**5 + 5 + 0*s**4 + 0*s + 3/8*s**2 - 1/8*s**6. Factor u(o).
-3*o*(o - 1)*(o + 1)**3/4
Let l(n) be the second derivative of 1/40*n**5 - 4*n - 1/12*n**3 + 1/4*n**2 - 1/24*n**4 + 0. Determine w so that l(w) = 0.
-1, 1
Let y(f) = f**2 + 15*f - 31. Let i be y(-17). What is j in 1/2*j**2 + 1/4*j**i + 0 - 1/2*j**4 + 0*j - 1/4*j**5 = 0?
-2, -1, 0, 1
Let u be ((5/4)/(-5))/((-7)/56). Suppose -8/5 - 2/5*v**u - 8/5*v = 0. What is v?
-2
Let i be (0 - 9/(-12))*4. What is w in -12*w**2 + 14*w**2 - 2*w**4 + 2*w**5 + w**3 - i*w**3 = 0?
-1, 0, 1
Factor 1/2*x**2 + x + 0.
x*(x + 2)/2
Let c be (-2 - 14/(-3)) + (-12)/18. Determine m, given that -4/3*m - m**c - 1/3 = 0.
-1, -1/3
Suppose 0 = -4*t + 3*t + 14. Suppose 4 - 26*v + 4*v**2 - 10*v**2 + t*v**2 + 14*v**2 = 0. What is v?
2/11, 1
Determine m so that -4/9 - 10/9*m - 2/3*m**2 + 2/9*m**3 + 2/9*m**4 = 0.
-1, 2
Let i(l) be the third derivative of 1/24*l**4 + 0*l - 1/60*l**5 - 1/168*l**8 - 2*l**2 + 0*l**3 + 0 + 1/42*l**7 - 1/40*l**6. Factor i(f).
-f*(f - 1)**3*(2*f + 1)
Let o be -1 + 1*(-1 + 2). Let a(g) be the second derivative of 0*g**3 + o*g**2 + 0 + 1/24*g**4 + g - 1/80*g**5. Solve a(z) = 0.
0, 2
Suppose -26 + 1 = -5*i. Determine r, given that -r**4 - 14*r**5 + 4*r**5 - 2*r**4 + 7*r**i = 0.
-1, 0
Let h(z) be the first derivative of z**6/2 + 6*z**5/5 - 2*z**3 - 3*z**2/2 - 14. Let h(n) = 0. What is n?
-1, 0, 1
Suppose -8*i = -135 + 119. Factor 10/7*d**i + 2*d**4 + 4/7*d**5 + 18/7*d**3 + 0 + 2/7*d.
2*d*(d + 1)**3*(2*d + 1)/7
Let z(v) = -5*v**3 + 168*v**2 - 1812*v + 6658. Let l(x) = -5*x**3 + 167*x**2 - 1813*x + 6657. Let r(t) = -3*l(t) + 2*z(t). Solve r(m) = 0.
11
Let z(s) be the first derivative of -8/11*s**2 + 56/33*s**3 - 2 + 2/11*s**5 + 0*s - s**4. Factor z(g).
2*g*(g - 2)**2*(5*g - 2)/11
Find n, given that -2/11*n**2 - 12/11 - 10/11*n = 0.
-3, -2
Let n(u) be the first derivative of -u**5/50 + u**4/10 - 4*u**2/5 + 7*u + 3. Let m(k) be the first derivative of n(k). Determine l, given that m(l) = 0.
-1, 2
Let n(c) = 3*c - 10. Let v be n(6). Factor 14*i**2 + 4 - v*i**2 - 10*i**2.
-4*(i - 1)*(i + 1)
Let y(s) be the first derivative of -2/33*s**3 - 2/11*s**2 + 9 + 0*s + 3/22*s**4. Factor y(x).
2*x*(x - 1)*(3*x + 2)/11
Let w(p) be the second derivative of 5*p + 0 - 1/12*p**4 + 1/6*p**3 + 0*p**2. Determine i so that w(i) = 0.
0, 1
Let f be (91/14 + -7)/((-1)/4). Factor 0 + f*u**3 + 0*u - 4/9*u**2.
2*u**2*(9*u - 2)/9
Factor 9/4*g**4 + 0*g + 3/2*g**5 - 3/4*g**2 + 0 + 0*g**3.
3*g**2*(g + 1)**2*(2*g - 1)/4
Suppose -3*m + 7 = 5*w, 9*w = 4*w - 5. Solve 0*t + 2*t**2 - 7*t**3 + 0 - 5/4*t**5 + 11/2*t**m = 0.
0, 2/5, 2
Suppose 4*c + z - 12 = 0, 0*c - 3*z + 6 = -3*c. Let u(h) be the second derivative of 1/50*h**5 + 0*h**c + 0 + h + 0*h**3 + 1/30*h**4. Let u(v) = 0. Calculate v.
-1, 0
Let v(m) be the third derivative of -13/40*m**6 + 2/35*m**7 + 0 + 2*m**4 - 2*m**3 + 0*m - 6*m**2 + 3/20*m**5. Solve v(r) = 0.
-1, 1/4, 2
Suppose o = -2*l - 6, 0 = 2*o + 6*l - l + 17. Let z(g) be the first derivative of 2 + 4*g**2 + 9/5*g**o - 22/5*g**3 - 8/5*g. Find r, given that z(r) = 0.
1/2, 2/3
Let x = -10 + 15. Let g(l) = l**3 - 6*l**2 + 5*l + 3. Let o be g(x). Factor -3*u + 2*u**2 - 2*u - o*u**2 + 3*u.
-u*(u + 2)
Let o be -5 + (-66)/(-9) + 1/(-3). Factor -4/5 - 2*m**3 + 2*m + 4/5*m**o.
-2*(m - 1)*(m + 1)*(5*m - 2)/5
Let q(j) = -4*j**4 + 12*j**3 + 8*j**2 - 4. Let c(y) be the first derivative of y**6/6 + y**4/4 + y**2/2 - 5. Let x(m) = 4*c(m) - q(m). Factor x(t).
4*(t - 1)**2*(t + 1)**3
Let 42 - a**2 - a**2 - 34 + a**3 - 4*a = 0. What is a?
-2, 2
Let z(d) be the second derivative 