
Let i = 4 - -44. Solve -17*p**2 - 25*p**2 + i*p - 44 + 38*p**2 = 0 for p.
1, 11
Let a = -168011359/298 - -563795. Let w = -1/149 - a. Solve -1/2*c**4 + 1 - 1/2*c**2 - w*c + 3/2*c**3 = 0 for c.
-1, 1, 2
Let y(v) be the third derivative of 0 + 17*v**2 + 0*v + 0*v**3 + 1/120*v**6 + 1/15*v**5 + 1/6*v**4. Factor y(r).
r*(r + 2)**2
Let z(c) be the first derivative of 9*c**5/20 - 15*c**4/8 - 9*c**3/4 + 3*c**2/2 - 93. Suppose z(m) = 0. Calculate m.
-1, 0, 1/3, 4
Let v be (-8808)/(-720) + -11*1. Let q(a) be the third derivative of v*a**5 + 3*a**2 - 5/3*a**4 + 0 + 4/3*a**3 + 0*a + 3/35*a**7 - 1/2*a**6. Factor q(y).
2*(y - 1)**2*(3*y - 2)**2
Let q(z) be the third derivative of z**7/168 - 11*z**6/180 + 7*z**5/30 - z**4/3 - 5*z**3/6 - 7*z**2. Let u(f) be the first derivative of q(f). Factor u(l).
(l - 2)**2*(5*l - 2)
Find l such that -28/5*l - 4/5*l**3 + 2/15*l**4 - 104/15*l**2 + 66/5 = 0.
-3, 1, 11
Let v(d) be the second derivative of d**8/84 + 2*d**7/35 - 2*d**6/15 - 3*d**2/2 + 28*d. Let q(c) be the first derivative of v(c). Determine k so that q(k) = 0.
-4, 0, 1
Suppose 4*i - 4 = 4*f, -2*i = -14*f + 10*f + 2. Factor -15/2 - 5/6*x**f - 25/3*x.
-5*(x + 1)*(x + 9)/6
Let c = -210 + 418. Let w = 212 - c. Find z, given that -7/3*z + 2/3 + 3*z**2 + 1/3*z**w - 5/3*z**3 = 0.
1, 2
Let l be (-140)/525*(-60)/8. Determine g so that -g - 1/2*g**l + 3/2 = 0.
-3, 1
Suppose 0 = i - 5*n - 9 - 12, -5*i - 3 = 2*n. Let b be 2 - (4/8 + i). Let 0 - 1/2*r - b*r**2 = 0. What is r?
-1, 0
Let h(p) = -48*p**2 + 300*p - 80. Let t(q) = -7*q**2 + 43*q - 12. Let d(b) = -3*h(b) + 20*t(b). Suppose d(k) = 0. Calculate k.
0, 10
Let s(m) = -3*m**4 - 3*m**3 - m**2 + 3*m - 2. Let o(v) = -19*v**4 - 19*v**3 - 7*v**2 + 19*v - 13. Let i(z) = -6*o(z) + 39*s(z). Suppose i(g) = 0. Calculate g.
-1, 0, 1
Let -1264/5*y**2 + 1246/15*y**3 + 1024/15 + 1664/15*y + 2/5*y**5 - 148/15*y**4 = 0. Calculate y.
-1/3, 1, 8
Let q be -8 - 1*(-630)/75. Solve q*w + 7/5*w**2 + 0 - 4/5*w**3 = 0.
-1/4, 0, 2
Suppose -63 = 2*u + 31. Let i = 50 + u. Find s, given that -1/4*s**4 - 27/2*s**2 + 27*s - 81/4 + i*s**3 = 0.
3
Let v(c) be the second derivative of c**6/10 - 3*c**5/10 - 3*c**4 + 9*c**3 + 81*c**2/2 + 2*c + 55. Suppose v(m) = 0. Calculate m.
-3, -1, 3
Let u = 45977/3 - 15323. Factor u*c**2 - 4/3 + 14/3*c.
2*(c + 2)*(4*c - 1)/3
Factor 12*r**2 + 21*r**3 + 0 + 12/7*r.
3*r*(7*r + 2)**2/7
Let v(l) be the first derivative of 10985*l**4/4 + 1690*l**3 + 390*l**2 + 40*l + 1073. Solve v(p) = 0 for p.
-2/13
Let l be (132/11 - 12)/(-1). Let f(u) be the third derivative of l - 1/30*u**5 + 0*u**4 + 0*u - 2*u**2 + 4/3*u**3. Factor f(n).
-2*(n - 2)*(n + 2)
Suppose -z - 2*f + 2 = 2*z, -3*z + 8 = -f. Suppose 2*r = 5*c + 14, 3*r + 2*c = -z*c - 2. What is g in g + 3/2 + 1/6*g**r = 0?
-3
Let q = 9 + -9. Let o(h) be the third derivative of -3/448*h**8 - 1/160*h**6 + 0*h**4 + 0 + q*h**3 + 0*h + 0*h**5 - 5*h**2 - 1/70*h**7. Factor o(j).
-3*j**3*(j + 1)*(3*j + 1)/4
Let l = 695 - 13899/20. Let i(g) be the third derivative of 7*g**2 - 1/2*g**3 + l*g**5 + 0*g**4 + 0 + 0*g. Factor i(o).
3*(o - 1)*(o + 1)
Let u = 186364/15 + -12424. Let u - 6/5*q**2 + 14/15*q = 0. Calculate q.
-2/9, 1
Factor -11*q**3 + 8*q - 2*q**3 + 9*q**3 + 4*q**2.
-4*q*(q - 2)*(q + 1)
Let u(l) be the third derivative of -l**6/24 - 5*l**5/4 - 105*l**4/8 - 245*l**3/6 - 4*l**2 + 10*l. Suppose u(f) = 0. What is f?
-7, -1
Let q(l) = l**2 - 73*l + 524. Let k be q(65). Factor 0*j + 0 + 1/4*j**5 + 0*j**2 - 1/4*j**3 + 0*j**k.
j**3*(j - 1)*(j + 1)/4
Let j(l) = 4*l**4 + 3*l**3 + 3*l**2 - 5*l - 5. Let o(x) = x**4 - x + 7*x**2 + 4*x**2 - 10*x**2 - 1. Let d(t) = -j(t) + 5*o(t). Factor d(p).
p**2*(p - 2)*(p - 1)
Let n(f) be the first derivative of -7 + 4*f**2 + 4/3*f**3 - 12*f. Factor n(r).
4*(r - 1)*(r + 3)
Let o be (14/35)/((-20)/(-150)). Let w(i) be the second derivative of 8*i**o + 5*i - 6*i**2 + 0 - 7/4*i**4. Factor w(x).
-3*(x - 2)*(7*x - 2)
Let w(u) be the second derivative of -u**4/6 - 200*u**3/27 - 44*u**2/9 - u - 43. Factor w(q).
-2*(q + 22)*(9*q + 2)/9
Let a(w) be the second derivative of -w**6/10 + 3*w**5/4 + 11*w**4/2 + 8*w**3 + 31*w. Factor a(s).
-3*s*(s - 8)*(s + 1)*(s + 2)
Let r(g) be the second derivative of -g**4/42 - g**3/3 + 44*g**2/7 - 141*g - 2. Solve r(v) = 0 for v.
-11, 4
Let q(y) be the third derivative of y**8/616 + 2*y**7/55 + 5*y**6/44 + 6*y**5/55 - 6*y**2 - 4*y. Solve q(p) = 0.
-12, -1, 0
Suppose -11 = -4*d - 3. Factor -5 + 5 + 5*r**d - 5*r**3 + 10*r.
-5*r*(r - 2)*(r + 1)
Let y(r) be the second derivative of -r**4/120 - 11*r**3/15 - 121*r**2/5 + 2*r + 85. Determine k so that y(k) = 0.
-22
Suppose -3 = 3*y, 3*j - 6 - 1 = -5*y. Factor -35*z**2 + 39*z**3 + z**j - 26*z**4 + 6*z**3 + 10*z + 5*z**5.
5*z*(z - 2)*(z - 1)**3
Suppose 8*h + 96 = 4*h. Let w = 26 + h. Factor 56*d + 2*d**2 - 54*d - 4*d**w.
-2*d*(d - 1)
Let z(k) = 15*k**2 + 601*k + 20186. Let v(c) = -8*c**2 - 302*c - 10094. Let f(s) = -11*v(s) - 6*z(s). Factor f(u).
-2*(u + 71)**2
Let w(v) = 17*v**2 - 36. Let a(h) = -5*h - 7. Let j be a(-3). Let y(r) = -6*r**2 + 12. Let l(u) = j*y(u) + 3*w(u). Solve l(p) = 0 for p.
-2, 2
Let y(p) = p**5 - p**4 + p. Let f(n) = 3*n**5 + n**4 - 4*n**2 + 6*n. Suppose -2*m = 2*l + 2 + 18, -l = -m. Let z(c) = m*f(c) + 30*y(c). Solve z(o) = 0.
-2/3, 0, 1, 2
Let c = -6078/11 + 1306814/2365. Let x = c - -25/43. Solve -9/5*n**2 + 0*n**3 + x*n**4 - 6/5*n + 0 = 0 for n.
-1, 0, 2
Let c(s) be the first derivative of -s**4/14 + 52*s**3/21 + 55*s**2/7 + 8*s - 38. Factor c(j).
-2*(j - 28)*(j + 1)**2/7
Let b be 60/(-50)*4/(8/(-15)). Suppose 0 = b*q - 24*q + 30. Let 0 - 2/7*d**q - 4/7*d = 0. What is d?
-2, 0
Find t, given that 25/3*t - 1/3*t**2 + 0 = 0.
0, 25
Let j(u) = 13*u + 82. Let v be j(-6). Let s(a) be the second derivative of -a + 1/30*a**v + 1/50*a**5 + 0 + 0*a**3 + 0*a**2. Solve s(c) = 0.
-1, 0
Determine c, given that -108*c**2 + 312*c**2 + 16*c + 269*c - 99*c**2 - 100*c**2 = 0.
-57, 0
Let j(q) = 6*q**2 - 31*q + 18. Let l(t) be the third derivative of -t**5/30 + 5*t**4/12 - t**3 - 6*t**2. Let y(o) = -4*j(o) - 14*l(o). Factor y(v).
4*(v - 3)*(v - 1)
Suppose -246*z = -254*z + 40. Let b(k) be the second derivative of 0 + 0*k**3 + 0*k**2 - 3/80*k**z - 1/8*k**4 + 14*k. Find x, given that b(x) = 0.
-2, 0
Let z(n) be the first derivative of -n**5/30 + 11*n**4/8 - 85*n**3/6 - 289*n**2/12 + 21. Factor z(t).
-t*(t - 17)**2*(t + 1)/6
Let v(f) be the second derivative of f**7/8820 + f**6/420 + 3*f**5/140 - f**4/3 - 20*f. Let m(g) be the third derivative of v(g). Suppose m(w) = 0. Calculate w.
-3
Let d(y) = -y**3 + 6*y**2 + 2*y - 8. Let x be 3/6 + 11/2. Let l be d(x). Solve l*w - 5*w**2 - 22*w**2 + 40*w**3 - 18*w**4 + w**2 + 0*w**2 = 0.
0, 2/9, 1
Factor 0*c + 0 + 2*c**3 + 8/9*c**4 + 4/9*c**2.
2*c**2*(c + 2)*(4*c + 1)/9
Let r(x) = 9*x**2 - 3*x - 9. Let n(q) = -4*q**2 + 2*q + 5. Let u(s) = 7*n(s) + 3*r(s). Let z be u(6). Solve -8/3*w**3 + 14/9*w**z + 0 - 2/9*w = 0 for w.
0, 1/4, 1/3
Suppose 267/5*v - 21*v**4 - 9/5*v**5 - 9 + 414/5*v**3 - 522/5*v**2 = 0. What is v?
-15, 1/3, 1
Factor -76 - 96*r - 178 + 2*r**2 + 837 + 569.
2*(r - 24)**2
Let w(j) be the second derivative of -1/189*j**7 + 24*j + 0 + 0*j**2 + 0*j**3 + 1/90*j**5 + 1/54*j**4 - 1/135*j**6. Factor w(c).
-2*c**2*(c - 1)*(c + 1)**2/9
Let u(v) be the first derivative of v**4/4 - 7*v**3/3 + 130. Factor u(k).
k**2*(k - 7)
Let r(s) be the first derivative of 3/5*s**5 - s**3 - 25 + 0*s - 3*s**2 + 3/2*s**4. Factor r(i).
3*i*(i - 1)*(i + 1)*(i + 2)
Let p = 1522 - 1520. Factor 1/4*z**4 + 1/2*z - 3/4*z**p + 0 + 0*z**3.
z*(z - 1)**2*(z + 2)/4
Let q be (-7)/(-2)*1 - 7/(-14). What is n in -5*n**3 + 4*n - 10*n**2 - q*n - 5*n + 0*n**2 = 0?
-1, 0
Let t(b) be the second derivative of 5*b**7/42 + b**6 - 59*b**5/4 + 60*b**4 - 350*b**3/3 + 120*b**2 - 4*b. Find g, given that t(g) = 0.
-12, 1, 2
Let x(y) be the third derivative of 0*y - 1/24*y**4 + 0 - 18*y**2 - 1/240*y**5 + 5/24*y**3. Factor x(t).
-(t - 1)*(t + 5)/4
Let s = 18 + 2. Factor -49 + 34 + 2*l**2 - 6*l**2 + s*l - l**2.
-5*(l - 3)*(l - 1)
Let j be -1 + (4 - 2) + 2. Factor 6*m**2 + 11*m**4 - 8*m**4 - 3*m + 3*m**2 - 4*m**j - 5*m**3.
3*m*(m - 1)**3
Let w = -10 + 12. Suppose w*q = 1 + 5. Let 5 + 3*u + 4*u**q - 5*u**3 - 3 = 0. What is u?
-1, 2
Solve 6*v + 40/3 + 2/3*v**2 = 0.
-5, -4
Let p(s) = -2*s**2 + 6*s