13/120*p**6 + 1/5*p**5. Suppose q(w) = 0. What is w?
0, 1, 2
Let r(w) = -w**2 + 10*w + 2. Let z(v) = v - 9 - 12 - v**2 + 20. Let i(k) = r(k) + 6*z(k). Find u, given that i(u) = 0.
2/7, 2
Let u(o) = -5*o**2 - 32*o - 73. Let r(y) = -6*y**2 - 33*y - 72. Let w(c) = 2*r(c) - 3*u(c). Determine m, given that w(m) = 0.
-5
Factor 5408/3 + 592*y**2 - 112/3*y**3 - 5824/3*y + 2/3*y**4.
2*(y - 26)**2*(y - 2)**2/3
Factor 0 + 169/10*y**3 - 13*y**2 + 5/2*y.
y*(13*y - 5)**2/10
Suppose 553*v = 546*v + 28. Let j(g) be the second derivative of g + 0 + 0*g**2 + 1/3*g**3 - 1/20*g**5 + 1/12*g**v. Factor j(f).
-f*(f - 2)*(f + 1)
Factor 2 - 2/11*b**2 - 20/11*b.
-2*(b - 1)*(b + 11)/11
Let a be (3/(-2))/(15/(-40)). Suppose 0 = -a*c + 3*c + 3*g - 8, c + 2 = g. Let 3*q - q - q**2 + c - 2*q = 0. Calculate q.
-1, 1
Let f(j) = 74*j - 1328. Let p be f(18). Factor 2/3*y**p - 2*y**2 - 4/3*y + 0 + 0*y**3.
2*y*(y - 2)*(y + 1)**2/3
Let o(h) = -h**2 + 9*h - 14. Let w be o(4). Factor 2/3*u**2 - 4*u + w.
2*(u - 3)**2/3
Let h(f) be the first derivative of f**5/20 + f**4/4 + f**3/4 - 79. Factor h(q).
q**2*(q + 1)*(q + 3)/4
Find y, given that -3/5*y**3 - 3/5*y**5 + 12*y - 72/5*y**2 + 0 + 18/5*y**4 = 0.
-2, 0, 1, 2, 5
Let s = -57563/54 - -1066. Let t(n) be the third derivative of 0*n - 10*n**2 - 1/108*n**4 + 0 + 1/540*n**5 + s*n**3. Factor t(f).
(f - 1)**2/9
Suppose 8*x + 646 - 222 = 0. Let w = 57 + x. Find k, given that 1/2*k + k**2 - k**3 - 1/2*k**w - 1/2 + 1/2*k**5 = 0.
-1, 1
Let g(s) be the second derivative of 4*s**2 - 27/5*s**6 - 16*s + 0 + 18/5*s**5 + 77/6*s**4 - 12*s**3. Let g(d) = 0. What is d?
-1, 2/9, 1
Factor -14/3*t**4 + 62/3*t**3 - 23/3 + 163/6*t + 1/6*t**5 - 107/3*t**2.
(t - 23)*(t - 2)*(t - 1)**3/6
Let j(f) be the third derivative of -578*f**5/15 - 17*f**4/3 - f**3/3 + 19*f**2 + 4. Factor j(r).
-2*(34*r + 1)**2
Suppose -8*z**3 + 93 - 89 + 14*z - 3*z**2 - 7*z**2 = 0. Calculate z.
-2, -1/4, 1
Let 5/6*d**5 - 5/3*d - 5/2*d**4 + 5/2*d**2 + 0 + 5/6*d**3 = 0. Calculate d.
-1, 0, 1, 2
Let d(h) be the third derivative of h**6/660 + h**5/330 - h**4/33 - 4*h**3/33 + 479*h**2. Determine n, given that d(n) = 0.
-2, -1, 2
Let -22*s**4 + 2*s**2 + 34 + 6*s**5 - 8*s - 34 - 3*s**3 - 2*s**5 + 27*s**3 = 0. Calculate s.
-1/2, 0, 1, 4
Let c(n) be the second derivative of 14*n**6/3 - 41*n**5/5 - 24*n**4 + 40*n**3/3 + 32*n**2 + 2*n - 26. Solve c(y) = 0 for y.
-1, -2/5, 4/7, 2
Let v(w) be the first derivative of -5*w**5 + 85*w**4/4 - 35*w**3 + 55*w**2/2 - 10*w - 114. Factor v(r).
-5*(r - 1)**3*(5*r - 2)
Determine z, given that 477*z**2 - 282*z + 4*z**4 + 1312*z**3 - 230*z**2 + 5*z**4 + 314*z**2 - 460*z**3 = 0.
-94, -1, 0, 1/3
Let v = 76 + -72. Let -144*p**2 + 14 - 124*p**3 - 31*p**4 + 16*p + 3*p**v + 50 = 0. Calculate p.
-2, -1, 4/7
Suppose h + 35 = -5*p, -3*h + 3009*p = 3007*p - 14. Factor -2/5*q**3 + 0 + 2/5*q + h*q**2.
-2*q*(q - 1)*(q + 1)/5
Let q be 5 + (4 - (-168)/(-20)). Let r(j) be the first derivative of -q*j**5 - 3/4*j**4 - 3 + 3/2*j**2 + j**3 + 0*j. Solve r(l) = 0.
-1, 0, 1
Let s be 0*(48/54 - 1)/1. Solve 2*f + 2/3*f**2 + s = 0 for f.
-3, 0
Let j(q) be the third derivative of 0*q**3 - 1/21*q**7 + 16*q**2 + 0*q + 0*q**5 - 5/336*q**8 + 0*q**4 - 1/24*q**6 + 0. Factor j(y).
-5*y**3*(y + 1)**2
Let f(z) = z + 12. Let m be f(-5). Suppose 0*s**2 + 8 - m*s**2 + 9*s - s**2 + 3*s = 0. What is s?
-1/2, 2
Factor 29*f**3 + 54*f**2 + 386*f**5 - 22*f + 42*f**4 - 395*f**5 + 7*f - 101*f**3.
-3*f*(f - 1)**3*(3*f - 5)
Let x(f) be the third derivative of -31*f**5/180 - f**4/6 + 148*f**2. Factor x(j).
-j*(31*j + 12)/3
Let q(z) be the third derivative of 0 - 2/63*z**7 - 14*z**2 - 1/18*z**5 + 5/1008*z**8 + 0*z**4 + 0*z + 5/72*z**6 + 0*z**3. Factor q(t).
5*t**2*(t - 2)*(t - 1)**2/3
Let f(t) be the second derivative of -169*t**4/3 - 104*t**3/3 - 8*t**2 - 210*t. Factor f(l).
-4*(13*l + 2)**2
Determine o, given that -4*o**4 + 2 - 4 + 4*o**2 + 2*o**4 + 0 = 0.
-1, 1
Let p(y) be the second derivative of -y**7/36 + y**6/36 + 2*y**5/15 + y**4/18 + 3*y - 20. Determine g, given that p(g) = 0.
-1, -2/7, 0, 2
Factor 1 + 4/5*t - 1/5*t**2.
-(t - 5)*(t + 1)/5
Solve -4*w**3 - 10*w**4 + 1 - 11 + 20*w**2 + 2*w**5 - 54*w + 56*w = 0.
-1, 1, 5
Suppose 4*a - 16 = 0, -2*j = -5*a + 13 + 7. Let i(s) be the third derivative of j*s + 1/42*s**3 + 0 - 1/420*s**5 + 12*s**2 + 0*s**4. Let i(m) = 0. Calculate m.
-1, 1
Let h(z) be the third derivative of -7/6*z**4 + 0 + 2*z**3 + 0*z + 14*z**2 - 1/30*z**6 + 1/3*z**5. Factor h(m).
-4*(m - 3)*(m - 1)**2
Let o(h) = -12*h**2 + 346*h - 2402. Let a(p) = -4*p**2 + 115*p - 799. Let z(l) = -10*a(l) + 3*o(l). Find m, given that z(m) = 0.
14
Let l(c) be the third derivative of 11/60*c**5 + 0*c**3 + 0 + 23*c**2 - 2/15*c**6 + 1/30*c**7 + 0*c - 1/12*c**4. Factor l(q).
q*(q - 1)**2*(7*q - 2)
Let z(m) = -m**2 - 11*m + 10. Let o be z(-11). Let u = o - 10. What is l in 2*l**2 + 7/2*l**3 - 2*l**4 - 3/2*l**5 + u - 2*l = 0?
-2, -1, 0, 2/3, 1
Let t(d) be the third derivative of -d**9/10080 + d**7/336 - d**5/20 + d**4/3 - d**2. Let a(i) be the second derivative of t(i). Suppose a(z) = 0. Calculate z.
-2, -1, 1, 2
Let p(x) be the second derivative of -1/4*x**4 + 13*x + 0 + 4/3*x**3 + 3/2*x**2. Factor p(r).
-(r - 3)*(3*r + 1)
Suppose 3*w - 4*k - 3 = 68, -5*w = -4*k - 113. Let h = w + -18. Suppose 0*l**h - 3*l + 9*l**2 + 5 + 12*l + 3*l**3 - 2 = 0. What is l?
-1
Suppose -7*m = -33 - 16. Let t(x) be the third derivative of -m*x**2 - 3/2*x**3 + 0 - 1/120*x**6 + 1/12*x**5 - 1/8*x**4 + 0*x. Solve t(n) = 0.
-1, 3
Let k(z) = 3*z - 15. Suppose 0 = -27*q + 23*q + 20. Let v be k(q). Factor 16/11*a**2 + v + 2/11*a**4 - 10/11*a**3 - 8/11*a.
2*a*(a - 2)**2*(a - 1)/11
Factor -m - 19 + 164*m**2 + 13*m - 165*m**2 - 51 + 7*m.
-(m - 14)*(m - 5)
Suppose -113*c - 2*s = -109*c + 2, -33 = -4*c + 5*s. Determine t, given that 1/3*t**3 + 1/3 - 1/3*t - 1/3*t**c = 0.
-1, 1
Let b be 37*(-14)/(-133) - 2/(-19). Factor 4/3*r**2 + 2/3*r**3 + 0*r - 2/3*r**b + 0.
-2*r**2*(r - 2)*(r + 1)/3
Find v such that -4*v**3 - 162 + 2*v**3 - v**3 - 45*v + 126*v = 0.
-6, 3
Suppose 0 = 9*p - 5*p - 8. Factor -347*d - 2*d**3 - 24*d + 1458 - 115*d + 54*d**p.
-2*(d - 9)**3
Let p(i) be the second derivative of 5*i**4/48 + 125*i**3/3 + 6250*i**2 - 90*i + 2. Factor p(a).
5*(a + 100)**2/4
Let v = 199 - 168. Let d be (v + -31)/(1 - -1). Factor 2/3*q**4 + 0 + d*q**3 - 2/3*q**2 + 0*q.
2*q**2*(q - 1)*(q + 1)/3
Let m(s) be the first derivative of -s**4/8 - 97*s**3/6 + 49*s**2/2 + 140. Factor m(a).
-a*(a - 1)*(a + 98)/2
Let d(l) = -4*l**3 - 25*l**2 - 32*l - 16. Let v(j) = -33*j**2 + 14*j**2 + 0*j**3 - 80*j - 40 - 43*j**2 - 10*j**3. Let c(i) = 12*d(i) - 5*v(i). Factor c(m).
2*(m + 1)*(m + 2)**2
Let k be -43*(1/(-4))/((-7)/28). Let g = 143/3 + k. Factor -6*q + 4/3 + g*q**2.
2*(q - 1)*(7*q - 2)/3
Let a = -41/132 - 3/11. Let i = 61/60 - a. Factor -1/5*n**2 + i*n - 16/5.
-(n - 4)**2/5
What is b in 20/3*b**2 + 16/3 - 32/3*b - 4/3*b**3 = 0?
1, 2
Let n(o) = -o**2 + 10*o + 5. Let x be n(10). Factor -40*y**5 - y**3 + 43*y**x - 2*y**3.
3*y**3*(y - 1)*(y + 1)
Let t(j) be the second derivative of -2/9*j**3 + 1/15*j**5 + 1/9*j**4 - 2/3*j**2 + 0 - 14*j. Factor t(i).
4*(i - 1)*(i + 1)**2/3
Let u be 0/((-8)/(-10)*50/20). Let l(h) be the second derivative of 1/10*h**5 + u*h**2 - 3*h + 1/3*h**4 + 0*h**3 + 0. Factor l(f).
2*f**2*(f + 2)
Factor -174*x + 252 - 2/3*x**3 + 32*x**2.
-2*(x - 42)*(x - 3)**2/3
Factor -38/7*y - 40/7 + 2/7*y**2.
2*(y - 20)*(y + 1)/7
Let a(f) be the first derivative of -f**4/48 + f**3/12 - f**2/8 - 2*f - 2. Let x(m) be the first derivative of a(m). Find b such that x(b) = 0.
1
Let x(c) = c**2 + 2*c - 10. Let y be x(3). Let h(s) be the second derivative of -1/72*s**4 + 1/120*s**y - 1/36*s**3 + 0 + 1/12*s**2 + 3*s. Factor h(f).
(f - 1)**2*(f + 1)/6
Let u be 1/(0 - 2/(-18)) + 1. Find k such that -18 - 18*k - u*k + 7*k - 3*k**2 = 0.
-6, -1
Let c(p) = 30*p**4 + 80*p**3 + 70*p**2 - 80*p - 50. Let i(y) = y**4 + 1. Let v(r) = -c(r) + 25*i(r). Let v(t) = 0. What is t?
-15, -1, 1
Let o(y) be the second derivative of 0 + 2/3*y**3 + 19*y - 1/3*y**4 + 0*y**2. Factor o(t).
-4*t*(t - 1)
Let b = 0 - -3. Suppose -3 = 3*j - 4*j. Factor 2*p**3 + 3*p - 1 - 4*p**3 - 3*p**2 + b*p**j.
(p - 1)**3
Let f(p) = -p**3 - p**2. Let u(k) = 7*k**3 + 6*k**2 + 25*k + 50. Let c(v) = 40*f(v) + 5*u(v). What is 