 l(i) = 0. What is i?
0, 1
What is s in -16/3 - 2/9*s**2 + 28/9*s = 0?
2, 12
Let p(f) be the second derivative of -1/18*f**3 - 5/48*f**5 - 5/36*f**4 + 0*f**2 + 0 - 12*f. Find n, given that p(n) = 0.
-2/5, 0
Let q(r) be the first derivative of 5*r**4/4 - 20*r**3/3 + 10*r**2 + 411. Solve q(m) = 0 for m.
0, 2
Let d(g) be the third derivative of -1/15*g**7 + 1/6*g**4 + 0*g**3 - 11/30*g**5 + 0*g + 0 + 4/15*g**6 - g**2. Factor d(n).
-2*n*(n - 1)**2*(7*n - 2)
Let t = -188 - -361. Let q = -173 + t. Factor 2/7*x + q + 2/7*x**2.
2*x*(x + 1)/7
Let i(s) be the first derivative of 4*s**5/5 - 12*s**4 + 52*s**3/3 + 132*s**2 + 160*s - 262. Determine y, given that i(y) = 0.
-1, 4, 10
Let u be 3/(-1)*(-22)/396. Let a(q) be the first derivative of q + 2 - 3/4*q**2 + u*q**3. Suppose a(d) = 0. Calculate d.
1, 2
Factor 21*x + 61/4*x**2 + 9 + 1/4*x**4 + 7/2*x**3.
(x + 1)**2*(x + 6)**2/4
Let a be 1*1*-5 - (-115)/5. Suppose -u = 3*f - 11, -5*f = 3*u - f - a. Factor -4/5*i - 2/5 - 2/5*i**u.
-2*(i + 1)**2/5
Let v(h) be the first derivative of h**6/21 - 26*h**5/35 + 32*h**4/7 - 304*h**3/21 + 176*h**2/7 - 160*h/7 + 582. Factor v(t).
2*(t - 5)*(t - 2)**4/7
Let y(o) be the first derivative of -o**4/38 + 8*o**3/57 + 7*o**2/19 - 20*o/19 - 110. Factor y(a).
-2*(a - 5)*(a - 1)*(a + 2)/19
Let v(b) be the second derivative of b**6/10 - 3*b**5/4 - 47*b**4/4 + 105*b**3/2 - 81*b**2 + 170*b. Solve v(i) = 0.
-6, 1, 9
Let c(w) be the first derivative of 3*w**4/4 + 18*w**3/5 + 21*w**2/10 - 18*w/5 + 36. Solve c(f) = 0 for f.
-3, -1, 2/5
Suppose j - 30 = 4*r, -4*j - 3 = 4*r + 17. Let f(t) = -t - 5. Let y be f(r). Factor -k**y + 4/5 + 8/5*k.
-(k - 2)*(5*k + 2)/5
Let n(m) = -2*m**2 - 38*m + 19. Let u(o) = -o**2 - 19*o + 11. Let x(r) = -3*n(r) + 7*u(r). Factor x(s).
-(s - 1)*(s + 20)
Let j = -143 + 155. Let n(r) be the first derivative of -12*r**2 - 3*r**5 + 1/2*r**6 + j*r - 5 + r**3 + 21/4*r**4. Let n(v) = 0. What is v?
-1, 1, 2
Let v(n) be the first derivative of n**3/18 + 16*n**2/3 + 512*n/3 + 221. Find b such that v(b) = 0.
-32
Let v(j) be the first derivative of -29 + 1/4*j**4 + 12*j**2 + 36*j - 11/3*j**3. Find y, given that v(y) = 0.
-1, 6
Let b be (-33)/(-27) - 4/18. Suppose -b = -p - 0*p. Factor p + 2*f**2 + 2*f - 1 - 4.
2*(f - 1)*(f + 2)
Let z = 131/1199 - 2/109. Factor 2/11 - 1/11*x**4 - z*x**2 + 3/11*x - 3/11*x**3.
-(x - 1)*(x + 1)**2*(x + 2)/11
Let v be (2/(-1))/(12/18 + -1). Let v*c**2 + 4*c**2 - 12*c - 3*c + 13*c = 0. What is c?
0, 1/5
Let o(t) be the second derivative of -t**7/336 - t**6/40 - 7*t**5/80 - t**4/6 - 3*t**3/16 - t**2/8 - t + 28. Suppose o(n) = 0. Calculate n.
-2, -1
Let k(b) be the first derivative of 0*b - 64/9*b**3 + 16 - 7/3*b**4 - 8/3*b**2. Determine m so that k(m) = 0.
-2, -2/7, 0
Factor -32*h + 14 + 128/7*h**2.
2*(8*h - 7)**2/7
Let d(v) = -4*v**5 - v**4 + 7*v**2 + v. Let z(a) = -3*a**5 - 2*a**4 - a**3 + 6*a**2 + 2*a. Let p(c) = -2*d(c) + 3*z(c). Determine o so that p(o) = 0.
-2, -1, 0, 1
Suppose 0 = -11*w - 11. Let f(u) = -u - 1. Let h = -3 + -3. Let p(b) = b**2 + 8*b + 7. Let c(n) = h*f(n) + w*p(n). Factor c(s).
-(s + 1)**2
Let m(f) be the second derivative of 39/40*f**5 + 35*f + 1/28*f**7 + 0*f**2 + f**3 - 3/2*f**4 - 3/10*f**6 + 0. Factor m(z).
3*z*(z - 2)**2*(z - 1)**2/2
Let b = -2775 - -2778. Let c(n) be the first derivative of 4/5*n - 2/15*n**b - 1/5*n**2 + 2. Find q, given that c(q) = 0.
-2, 1
Let b(t) be the third derivative of -1/30*t**4 + 0*t - t**2 + 1/150*t**6 + 1/15*t**3 + 0 + 0*t**5 - 1/525*t**7. Suppose b(r) = 0. Calculate r.
-1, 1
Find g, given that -12 - 330*g - 459*g - 34*g**2 + 895*g = 0.
2/17, 3
Factor -2/13*k**3 + 10/13*k**2 + 0*k + 0.
-2*k**2*(k - 5)/13
Let t(n) be the second derivative of -n**4/18 - 7*n**3/9 - 2*n**2 - 86*n. Let t(m) = 0. Calculate m.
-6, -1
Suppose 0 = 1624*u - 1658*u. Determine r, given that 1/3*r**4 + 0*r**2 + 0 + u*r - 1/3*r**3 = 0.
0, 1
Let q(a) be the third derivative of 0*a**3 - 1/672*a**8 + 1/24*a**4 + 18*a - 1/240*a**6 - 1/40*a**5 + 0 + 1/140*a**7 + a**2. What is y in q(y) = 0?
-1, 0, 1, 2
Factor 1/2*k**4 - 7 - 2*k + 13/4*k**3 + 21/4*k**2.
(k - 1)*(k + 2)**2*(2*k + 7)/4
Suppose -3*i + 10 = -3*w - 2, 2*i - 12 = 4*w. Factor 4*l**2 - 4*l**3 + 8*l**i + 2*l**2 + 2*l**2.
-4*l**2*(l - 4)
Let h(o) be the second derivative of o**8/1848 - o**6/220 - o**5/165 + 7*o**2/2 - 5*o. Let n(x) be the first derivative of h(x). Suppose n(b) = 0. Calculate b.
-1, 0, 2
Let k(a) be the first derivative of -27 + 1/3*a**3 - 6/5*a**2 + 4/5*a. Solve k(m) = 0 for m.
2/5, 2
Let r(k) be the first derivative of -k**4/14 + 20*k**3/21 - 9*k**2/7 - 59. Factor r(m).
-2*m*(m - 9)*(m - 1)/7
Let k(d) = -2*d**3 - 14*d**2 + 16*d + 6. Let b be k(-8). Let c be (60/(-9))/(-4) + -1. What is f in -b + 4*f - c*f**2 = 0?
3
Determine p, given that 590*p**3 + 5*p**5 - 18*p**2 + 69*p**4 - 1440*p - 942*p**2 + 61*p**4 - 15*p**4 = 0.
-12, -1, 0, 2
Let 16/5*g + 18/5 - 4*g**2 + 2/5*g**4 - 16/5*g**3 = 0. What is g?
-1, 1, 9
Let o(m) = -2*m**5 - 24*m**4 - m**3 + 21*m**2 - 6*m. Let d(q) = -5*q**5 - 72*q**4 - 3*q**3 + 64*q**2 - 16*q. Let p(v) = 3*d(v) - 8*o(v). Solve p(i) = 0 for i.
-1, 0, 1, 24
Suppose -5*r + 4*c + 10 = -0*c, 2 = r + c. Let 2*p - 2*p**r + 1/2*p**3 + 0 = 0. What is p?
0, 2
Solve -2312/5 - 348*o**3 - 15818/5*o**2 - 10*o**4 - 11832/5*o = 0 for o.
-17, -2/5
Let y(v) = 5*v**3 - 930*v**2 - 74901*v - 1972147. Let z(b) = -b**3 + 233*b**2 + 18725*b + 493037. Let n(u) = -2*y(u) - 9*z(u). Let n(w) = 0. Calculate w.
-79
Let s = 115/24 + -25/8. Let a(w) be the first derivative of 0*w + w**5 - s*w**3 - 1/2*w**4 + w**2 + 2. Find o, given that a(o) = 0.
-1, 0, 2/5, 1
Let l be -8 - (-6 + 2)*(-6 + 8). Solve -3/2*t - 3/4*t**3 + l - 9/4*t**2 = 0 for t.
-2, -1, 0
Let u(s) be the first derivative of s**6/2 + 6*s**5/5 - 2*s**3 - 3*s**2/2 + 13. Factor u(a).
3*a*(a - 1)*(a + 1)**3
Let t(u) be the second derivative of 1/20*u**4 + 0 - 1/25*u**5 + 1/30*u**3 + 0*u**2 + 10*u. Solve t(a) = 0 for a.
-1/4, 0, 1
Let b(j) be the first derivative of -5/24*j**3 + 1/8*j + 3/32*j**4 + 1/10*j**5 - 3/16*j**2 - 17. Let b(p) = 0. What is p?
-1, 1/4, 1
Let v be ((-39)/63 + 10/35)*-33. Factor -7*a**4 - 32*a + v*a**3 + 6 + 10*a**3 + 23*a - 2*a**4 - 9*a**2.
-3*(a - 1)**3*(3*a + 2)
Let r(c) = -10*c + 12. Let h be r(1). What is v in -1/6*v**h - 1/6 - 1/3*v = 0?
-1
Let v = -5866 + 5868. Factor 32/5 + 44*q**v + 164/5*q + 5*q**3.
(q + 8)*(5*q + 2)**2/5
Let j(c) = 5*c**3 - 14*c**2 - 11*c - 10. Let w(a) = 9*a**3 - 27*a**2 - 23*a - 20. Let m(d) = 11*j(d) - 6*w(d). Determine o so that m(o) = 0.
-5, -2, -1
Let s(y) be the third derivative of 5*y**6/324 - y**5/27 + y**4/27 - 2*y**3 + 14*y**2. Let l(x) be the first derivative of s(x). Find u such that l(u) = 0.
2/5
Let q = -2728/3 + 910. Suppose 1/3*i**2 - q*i + 1/3 = 0. What is i?
1
Let h = -69/2 - -42. Let p(o) be the first derivative of -h*o**2 - 6*o**3 - 1 + 18*o. Find l such that p(l) = 0.
-3/2, 2/3
Let x = 52 - 48. Suppose -p + 2*p**2 - p**2 - p**5 + 2*p**3 + p**3 - p - p**x = 0. Calculate p.
-2, -1, 0, 1
Let z be 496/(-868)*(-21)/8. Determine m, given that -9/2 + 6*m - z*m**2 = 0.
1, 3
Let z(b) = -17*b**3 + 41*b**2 - 115*b + 112. Let v(c) = -10*c**3 + 21*c**2 - 57*c + 56. Let o(y) = 10*v(y) - 6*z(y). Factor o(j).
2*(j - 14)*(j - 2)**2
Let w(r) be the third derivative of r**5/45 + 26*r**4/9 + 1352*r**3/9 + 13*r**2 - 2. Let w(z) = 0. What is z?
-26
Let y(u) = -76*u**2 + 32*u + 12. Let q(n) = -7*n**2 + 3*n + 1. Let h = -32 + 64. Let r(c) = h*q(c) - 3*y(c). Factor r(m).
4*(m - 1)*(m + 1)
Suppose -2*s = -4*j + s - 15, -s + 5 = -2*j. Factor 2*q**2 - 3*q + 3*q - 2*q**4 + j*q.
-2*q**2*(q - 1)*(q + 1)
Let i(q) be the second derivative of q**4/16 + 5*q**3/2 + 75*q**2/2 + 8*q + 4. Factor i(p).
3*(p + 10)**2/4
Let r(w) be the third derivative of 0*w + 0 + 0*w**5 - 1/12*w**4 + 1/180*w**6 - 25*w**2 - 2/9*w**3. Let r(x) = 0. What is x?
-1, 2
Let v(u) be the third derivative of -11*u**8/504 + 37*u**7/315 + 4*u**6/15 + 59*u**2. Suppose v(d) = 0. What is d?
-1, 0, 48/11
Let t(z) be the third derivative of z**8/168 + 4*z**7/105 - z**6/10 - 2*z**5/15 + 5*z**4/12 + z**2. What is v in t(v) = 0?
-5, -1, 0, 1
Let h(s) be the second derivative of -3*s**5/20 + 11*s**4/4 + 6*s**3 - 273*s - 2. Factor h(r).
-3*r*(r - 12)*(r + 1)
Let u(p) be the first derivative of -2/3*p**3 - 