u(z).
-z**3*(z - 2)*(z + 1)/4
Let w(i) = 2*i**2 + 65*i + 124. Let k be w(-2). Let 18 + 6*q + 1/2*q**k = 0. What is q?
-6
What is s in 1305/2*s**2 - 157*s**3 - 1/4*s**5 - 3375/2 + 11*s**4 + 4725/4*s = 0?
-2, 1, 15
Let u(h) = -2*h**2 - 4*h + 1. Let i be u(-1). Suppose -i*a = 4*l + 1, l + 4*l - 13 = a. Determine b, given that -l*b - 4/7 - 10/7*b**2 = 0.
-1, -2/5
Suppose -81*s - 45*s - 138*s + 1320 = 0. What is h in 5/3*h**s - 20/3*h**3 + 5*h + 0*h**4 - 10/3*h**2 + 10/3 = 0?
-1, 1, 2
Suppose -23*d + 25*d = 0. Let n(b) be the third derivative of -3/8*b**4 - 5*b**2 + d*b + 0*b**3 + 1/20*b**5 + 0. Factor n(y).
3*y*(y - 3)
Let m(w) be the third derivative of w**6/840 - w**5/28 - 11*w**4/56 - 17*w**3/42 - 169*w**2. Find t, given that m(t) = 0.
-1, 17
Suppose -5*y - 11 = -4*j, y = j + 2*y + 4. Let z = j + 6. Factor 2*o + o**2 + 5*o**2 + 3*o**2 - z*o**2 + 2*o**3.
2*o*(o + 1)**2
Let s(t) be the second derivative of 0*t**3 - 5/72*t**4 + 0*t**2 + 11*t + 0. Factor s(f).
-5*f**2/6
Let p(l) be the second derivative of l**6/2 - 21*l**5/20 - 3*l**4/4 + 7*l**3/2 - 3*l**2 + 9*l - 3. Let p(g) = 0. Calculate g.
-1, 2/5, 1
Let m be 0 + -2 + 8 + 65*16/(-200). Let m*s**2 - 2/5*s**4 - 2/5*s**3 + 1/5*s**5 - 2/5 + 1/5*s = 0. Calculate s.
-1, 1, 2
Suppose -2*y + 4 = 5*d, -3*y - 3*d + 6 = d. Suppose -2/13*s**y + 6/13*s - 4/13 = 0. Calculate s.
1, 2
Let c(j) = -2*j + 42. Let p be c(19). What is g in -3*g**2 + 6*g**2 + 6*g**p - 6 + 303*g - 3*g**4 - 294*g - 9*g**3 = 0?
-1, 1, 2
What is g in 2376 - 776 + 9*g**3 - 25*g**3 + 13*g**2 + 12*g**3 + 151*g**2 - 1760*g = 0?
1, 20
Let f(m) be the third derivative of 0*m - 1/80*m**5 + 0*m**3 - 30*m**2 + 0 - 1/32*m**4. Factor f(v).
-3*v*(v + 1)/4
Let a(x) = 6*x**2 - 303*x + 7809. Let v(f) = 7*f**2 - 302*f + 7811. Let n(m) = 4*a(m) - 3*v(m). Solve n(b) = 0 for b.
51
Let g be ((-4)/15)/(-8 - -4). Let l(a) be the third derivative of 1/15*a**5 + 0 + 0*a**3 + 1/42*a**7 + 0*a + 1/336*a**8 + 0*a**4 - a**2 + g*a**6. Factor l(f).
f**2*(f + 1)*(f + 2)**2
Suppose -2*q = -183*j + 184*j + 4, 2*q = -4. Let 3/2*b + j*b**2 - 1/2*b**3 + 1 = 0. What is b?
-1, 2
Let w(s) = 12*s**2 - 388*s + 16. Let r(v) = -8*v**2 + 259*v - 10. Let n(a) = -8*r(a) - 5*w(a). Factor n(u).
4*u*(u - 33)
Let s(j) be the second derivative of 1/10*j**6 + 3/4*j**3 + 15*j - 1/84*j**7 - j**2 - 1/12*j**4 + 0 - 1/5*j**5. Factor s(f).
-(f - 4)*(f - 1)**3*(f + 1)/2
Let w be -14 - (-272)/20 - (-2)/5. Suppose 0*x - 1/3*x**2 - 7/6*x**3 + w = 0. What is x?
-2/7, 0
Let q = 53 + -48. Let -k**q - 7*k**3 + 8*k + 71*k**4 + 3*k**3 - 59*k**4 - 12*k**2 - 3*k**5 = 0. Calculate k.
-1, 0, 1, 2
Let q(y) be the first derivative of -4/3*y**2 + 32 - 2*y - 2/9*y**3. Factor q(k).
-2*(k + 1)*(k + 3)/3
Let a = 294 + -171. Factor -4*c**2 - a*c + 78*c - 26*c**2 + 5*c**5 + 40*c**3 + 30*c**4.
5*c*(c - 1)*(c + 1)*(c + 3)**2
Let r(p) be the first derivative of 10*p**6/3 + 72*p**5/5 + 7*p**4 - 8*p**3 - 152. Find y, given that r(y) = 0.
-3, -1, 0, 2/5
Let z(v) = -v**2 - 21*v - 88. Let q be z(-6). Let b(c) be the first derivative of -2/3*c**q + 4/3*c + 1/4*c**4 - 5/9*c**3 - 13. Factor b(k).
(k - 2)*(k + 1)*(3*k - 2)/3
Let f(z) be the first derivative of 1/2*z - 1/12*z**3 + 1/8*z**2 + 11. Factor f(l).
-(l - 2)*(l + 1)/4
Factor -2/7*f**3 - 16/7*f**2 - 2*f + 0.
-2*f*(f + 1)*(f + 7)/7
Let i = 151 - 151. Let z(p) be the first derivative of -1/10*p**5 - 1/24*p**6 + 0*p**3 - 1 - 1/16*p**4 + 0*p + i*p**2. Factor z(r).
-r**3*(r + 1)**2/4
Let -2*d**2 + 1/2*d + 2 - 1/2*d**3 = 0. Calculate d.
-4, -1, 1
Let s = -273/374 + -1453323/2618. Let x = s + 557. Factor -x*m + 1/7*m**4 - 6/7*m**3 + 0 + 12/7*m**2.
m*(m - 2)**3/7
Let x(v) be the first derivative of -6/5*v**2 - 1/5*v**3 + 5 + 0*v. Factor x(p).
-3*p*(p + 4)/5
Suppose 2*c - 8 = 0, -4*l - 3*c - 2*c + 36 = 0. Suppose l*h - 270 = -86. What is j in -43 - 20*j**2 - h + 32*j + 16*j**2 + 25 = 0?
4
Let y(m) be the third derivative of -5*m**7/42 - 7*m**6/24 + 7*m**5/3 + 5*m**4/2 - 54*m**2. Factor y(p).
-5*p*(p - 2)*(p + 3)*(5*p + 2)
Let c(w) be the second derivative of 9/10*w**2 - 4*w - 3/50*w**5 - 2/15*w**4 + 0 - 1/150*w**6 + 1/5*w**3. Determine z, given that c(z) = 0.
-3, -1, 1
Let w(j) be the second derivative of 0 + 5/2*j**2 + j + j**3 + 1/12*j**4. Factor w(h).
(h + 1)*(h + 5)
Let 28677*u**2 + 0*u**3 - 50 - 28702*u**2 + u**3 + 104*u - 30 = 0. What is u?
1, 4, 20
Suppose 2*h + 2 = -2*m, 4*h + 4*m + 16 = 3*h. Let q be (h/18)/(7/21). Determine f so that -2/3 + q*f**2 + 16/9*f = 0.
-3, 1/3
Let k(a) be the second derivative of -a**4/3 - a**3/2 - a**2 + 5*a - 39. Let n(f) = f - 3*f**2 + 2*f**2 + 2*f**2. Let w(o) = k(o) + 6*n(o). Factor w(i).
(i + 2)*(2*i - 1)
Let l(j) = 9*j**2 - 3 + j - 4*j - 7*j**2 - 5*j. Let i(x) = -x**2 + 9*x + 4. Let o(v) = 3*i(v) + 4*l(v). Let o(w) = 0. What is w?
0, 1
Let g(z) = -10*z**4 + 122*z**3 - 156*z**2 - 60*z + 8. Let v(b) = 9*b**4 - 122*b**3 + 155*b**2 + 61*b - 10. Let p(o) = 5*g(o) + 4*v(o). Let p(f) = 0. What is f?
-2/7, 0, 2, 7
Let j(y) = 96*y**2 - 2745*y + 19530. Let x(t) = -48*t**2 + 1372*t - 9763. Let m(v) = -4*j(v) - 9*x(v). Factor m(d).
3*(4*d - 57)**2
Suppose 4*f + 116 = d, 5*d = -7*f + 2*f - 170. Let s = f + 32. Factor -1/5*q + 2/5*q**s - 1/5*q**3 + 0.
-q*(q - 1)**2/5
Factor -24/5*k**2 - 26/5*k**3 - 2/5*k**5 - 8/5*k + 0 - 12/5*k**4.
-2*k*(k + 1)**2*(k + 2)**2/5
Let b = 317795/148359 + -14/2909. Let n = b - -9/17. Factor 8/3*d**3 + 0*d**2 - n*d + 4/3 - 4/3*d**4.
-4*(d - 1)**3*(d + 1)/3
Let q(g) be the first derivative of g**6/6 + 4*g**5/5 - 9*g**4 + 74*g**3/3 - 61*g**2/2 + 18*g - 436. Find s such that q(s) = 0.
-9, 1, 2
Let s(j) be the second derivative of 1/12*j**3 - 1/48*j**4 + 0 + 5*j - 1/8*j**2. Suppose s(g) = 0. What is g?
1
Let g(a) be the third derivative of 0*a + 3*a**2 - 1/10*a**5 - 25/3*a**3 - 1/300*a**6 + 0 - 5/4*a**4. Factor g(l).
-2*(l + 5)**3/5
Let k(x) be the first derivative of 0*x + 8 + 2/15*x**5 + 1/3*x**3 + 1/90*x**6 + 2/3*x**4 + 0*x**2. Let f(l) be the third derivative of k(l). Factor f(y).
4*(y + 2)**2
Let z(n) be the second derivative of -n**4/4 - 39*n**3/2 - 111*n**2 - 402*n. Solve z(x) = 0.
-37, -2
Let d(p) be the first derivative of 24/5*p**5 + 0*p + 3/2*p**4 + 0*p**2 + 44 - 4/3*p**3 + 7/3*p**6. Let d(m) = 0. Calculate m.
-1, 0, 2/7
Suppose 2*x + 54 = 8*x. Suppose -x*c - 16*c + 8*c**2 - 5 - 28*c**2 = 0. Calculate c.
-1, -1/4
Suppose 4*w - 3*w - 5*z + 7 = 0, -3*w + 5*z - 1 = 0. Suppose 0 = -i - 7*i + 24. Factor -11*a**3 - 4*a + i*a**3 + 20*a**2 - w - 5.
-4*(a - 2)*(a - 1)*(2*a + 1)
Let a be 15/20 - (-36)/16. Let f = a - 1. Solve -p**5 - p - 45*p**2 + 36*p**5 - 35*p**f - 4*p + 10 - 130*p**4 + 170*p**3 = 0 for p.
-2/7, 1
Let m(q) be the first derivative of q**3 - 4*q**2 - 18*q - 6. Let y(v) = 2*v**2 - 5*v - 12. Let g(f) = 5*m(f) - 7*y(f). Factor g(j).
(j - 6)*(j + 1)
Let i(h) be the first derivative of h**6/15 - 3*h**5/10 + h**4/6 + h**3 - 2*h**2 - 4*h + 5. Let w(y) be the first derivative of i(y). Let w(j) = 0. Calculate j.
-1, 1, 2
Let n(p) be the second derivative of 3*p**4/2 - 25*p**3/9 - 2*p**2/3 - p - 29. What is u in n(u) = 0?
-2/27, 1
Let i = 6 - 4. Suppose -i*q = -8*q. Factor -4*c + 27*c**3 + 0*c + 33*c**4 + 12*c**5 + c + 3*c**2 + q*c.
3*c*(c + 1)**3*(4*c - 1)
Let h(x) be the third derivative of 4*x**8/21 + 8*x**7/15 - 58*x**6/15 + 103*x**5/15 - 35*x**4/6 + 8*x**3/3 + 94*x**2. Solve h(k) = 0.
-4, 1/4, 1/2, 1
Suppose -240*x + 262*x = 44. Factor 9/5*b**x + 3/5*b + 6/5*b**3 + 0.
3*b*(b + 1)*(2*b + 1)/5
Suppose 8*f - 9*f - 2*t + 5 = 0, t + 8 = 3*f. Let l(d) be the second derivative of 1/4*d**4 + 0 - 2*d**f + 9/2*d**2 + 4*d. Factor l(r).
3*(r - 3)*(r - 1)
Let d(i) = -4*i**2 - 16*i + 7*i**2 - 5*i**2 + i**2 + 32. Let x(s) = 5*s**2 + 64*s - 128. Suppose -7*g - 30 = -2*g. Let z(l) = g*x(l) - 26*d(l). Factor z(q).
-4*(q - 4)**2
Let r(x) = 15*x**2 - 113*x - 22. Let w(l) = -29*l**2 + 222*l + 42. Let b(v) = -11*r(v) - 6*w(v). Find n such that b(n) = 0.
-1/9, 10
Let w(o) be the first derivative of -o**3/6 + 5*o**2/2 - 21*o/2 - 42. Solve w(c) = 0 for c.
3, 7
Let k(w) be the third derivative of w**7/504 + w**6/72 - 5*w**4/8 - 16*w**2. Let p(f) be the second derivative of k(f). Let p(s) = 0. Calculate s.
-2, 0
Let u(k) be the third derivative of k**5/110 - 79*k**4/132 - 18*k**3/11 + 240*k**2. Factor u(p).
2*(p - 27)*(3*p + 2)/11
Let n(