8*j + 15. Let i(u) = v*c(u) + d(u). Solve i(q) = 0.
-4
Let r = -45 - -47. Solve -40*z**2 + 45*z**r + 0*z + 20*z = 0.
-4, 0
Let j(i) be the first derivative of i**8/168 - 4*i**7/105 + i**6/12 - i**5/15 - 3*i**2/2 - 17. Let n(g) be the second derivative of j(g). Factor n(p).
2*p**2*(p - 2)*(p - 1)**2
Let h = 64 + -10. Suppose 3*j = j + 30. Factor -j*x**3 - 92 - 48*x - 3*x**2 + 104 + h*x**2.
-3*(x - 2)*(x - 1)*(5*x - 2)
Let k(z) be the third derivative of 4*z**5/15 - 59*z**4/6 - 10*z**3 + 3*z**2 - 24*z. Determine p, given that k(p) = 0.
-1/4, 15
Let t(c) be the second derivative of -c**9/22680 + c**8/6720 + c**7/3780 + 7*c**4/6 + c**2/2 + 42*c. Let v(l) be the third derivative of t(l). Factor v(m).
-m**2*(m - 2)*(2*m + 1)/3
Let x(u) = 13*u**3 + 327*u**2 + 128*u + 2. Let l(r) = -51*r**3 - 1311*r**2 - 513*r - 9. Let q(d) = -2*l(d) - 9*x(d). Suppose q(k) = 0. What is k?
-21, -2/5, 0
Suppose 6*x + 37 = 43*x. Let t(r) be the first derivative of 1/2*r**2 + 0*r - 1/3*r**3 - x. Factor t(g).
-g*(g - 1)
Let 108 + 3/4*o**2 - 18*o = 0. Calculate o.
12
Let q(a) be the third derivative of a**8/112 + a**7/35 - a**6/20 - a**5/5 + a**4/8 + a**3 + 9*a**2 + 2*a. Find g, given that q(g) = 0.
-2, -1, 1
Let q be 2/11 - (2 - (-6)/33). Let u be q/(-6) + 16*4/24. What is x in 804*x**2 - 168*x + 12 + 2187/4*x**5 + 729/4*x**4 - 1377*x**u = 0?
-2, 2/9, 1
Find p such that 2*p**2 + 2*p**2 + 5*p + 0*p**2 + 100 - 9*p**2 + 0*p = 0.
-4, 5
Let t(p) be the third derivative of p**7/70 - 7*p**6/40 - 27*p**5/20 - 29*p**4/8 - 5*p**3 - 107*p**2. Determine z so that t(z) = 0.
-1, 10
Suppose 4*j = -1 + 9. Determine o, given that -11 + 3 - 28*o**3 - 15*o - 36*o**j + 6 = 0.
-1/2, -2/7
Let w(l) be the third derivative of -1/4*l**4 - 1/35*l**7 + 0*l + 42*l**2 + 1/3*l**3 + 1/168*l**8 + 0 + 1/15*l**5 + 1/30*l**6. Factor w(u).
2*(u - 1)**4*(u + 1)
Factor 40*m + 1/2*m**2 + 78.
(m + 2)*(m + 78)/2
Let z = -10 + 4. Let o be 0*-3*(-1)/z. Factor -4 + 6*b**3 - 19*b - 6*b + 11*b - 4*b**2 + o*b**2.
2*(b - 2)*(b + 1)*(3*b + 1)
Let n(c) = 3 + 4*c + 0*c**2 + 0 + 6*c**2. Let s(b) = b**2 - 157*b + 157*b - 2*b**2. Let v(h) = 4*n(h) + 20*s(h). Solve v(u) = 0.
-3, -1
Let -1/4*q**5 + 0*q - 51/4*q**4 - 156*q**3 + 0 + 169*q**2 = 0. What is q?
-26, 0, 1
Suppose 2/9*t**3 + 8/3*t - 16/9 - 4/3*t**2 = 0. What is t?
2
Factor -25*p**2 - 18*p + 7528 - 7528 + p**4 - 6*p**3.
p*(p - 9)*(p + 1)*(p + 2)
Let t(f) = -f**3 - 12*f**2 + 12*f - 11. Let r be t(-13). Determine v, given that 638*v**3 - v**2 - 630*v**3 + 7*v**2 + r*v**4 = 0.
-3, -1, 0
Let a(l) = -11*l**4 - 26*l**3 - 6*l**2 + 6*l. Let v(i) = -i**4 - i**3 - i**2 + i. Let j(q) = -a(q) + 6*v(q). Factor j(u).
5*u**3*(u + 4)
Let m(g) = 26*g**3 - 26*g**2 - 56*g. Let c(h) = -2*h**4 - 51*h**3 + 51*h**2 + 110*h. Let w(k) = -2*c(k) - 5*m(k). Suppose w(y) = 0. Calculate y.
-1, 0, 3, 5
Let n(a) be the second derivative of 9375*a**5/8 - 1875*a**4/8 + 75*a**3/4 - 3*a**2/4 - 44*a + 2. Factor n(b).
3*(25*b - 1)**3/2
Let z(j) be the first derivative of -j**6/600 + 13*j**2/2 + 9. Let f(w) be the second derivative of z(w). Factor f(n).
-n**3/5
Suppose -11 + 1 = -5*v. Factor 36*q - 33*q**v + 9*q**3 + 24 + 26*q - 80*q.
3*(q - 4)*(q + 1)*(3*q - 2)
Suppose 5*m + 5*r + 100 = -0*r, -3*m - 4*r = 63. Let s = m + 19. Factor 6*t**4 + 2 - t**4 - 3*t**4 - 4*t**s.
2*(t - 1)**2*(t + 1)**2
Let a(f) = 53*f**2 - 158*f - 38. Suppose v = 5*l + 27, 4*l + 10 = -6. Let p(x) = 35*x**2 - 105*x - 25. Let m(s) = v*p(s) - 5*a(s). Solve m(w) = 0.
-1/4, 3
Suppose -9/2*m + 2*m**3 + 1 - 6*m**4 + 5/2*m**5 + 5*m**2 = 0. Calculate m.
-1, 2/5, 1
Let v = -1290 - -10295/8. Let p = v + 141/40. Determine h so that 0*h + 2/5*h**2 - p*h**3 - 4/5*h**4 + 0 = 0.
-1, 0, 1/2
Factor -h - 36*h**2 - 43*h**2 + 76*h**2.
-h*(3*h + 1)
Determine x so that -56*x**3 - 40*x**3 - 28*x + 209*x**5 + 7*x**4 + 33*x**4 + 9*x**2 + 79*x**2 - 213*x**5 = 0.
0, 1, 7
Let h(t) be the third derivative of t**8/13440 + t**7/5040 - t**6/720 + t**4/24 + 15*t**2. Let w(z) be the second derivative of h(z). Let w(f) = 0. What is f?
-2, 0, 1
Find r such that 13*r**2 - 49*r - 15*r**2 + 20 - 41*r + 4 + 68 = 0.
-46, 1
Let w(n) be the second derivative of 3*n**5/140 - 729*n**4/28 + 177147*n**3/14 - 43046721*n**2/14 + 378*n. Factor w(b).
3*(b - 243)**3/7
Factor -322*l - 2 + 315*l + l**3 + 8.
(l - 2)*(l - 1)*(l + 3)
Let s be (9 - 623/70)*2/18. Let z(k) be the second derivative of s*k**5 - 2/9*k**2 + 0 + 10*k + 5/27*k**3 - 2/27*k**4. Let z(r) = 0. Calculate r.
1, 2
Let y(s) be the second derivative of -s**5/10 + 25*s**4/6 - 47*s**3/3 + 23*s**2 - 4*s - 2. Determine i, given that y(i) = 0.
1, 23
Let f(g) be the third derivative of -g**5/150 - 157*g**4/30 - 24649*g**3/15 + 649*g**2. Solve f(i) = 0 for i.
-157
Suppose 2*s - 10 = 4*l, s - 2*l = -3*s + 14. Let t = -3 + s. Factor 1/4*i**5 + 0*i + i**4 + 0*i**2 + t + i**3.
i**3*(i + 2)**2/4
Let q(y) be the third derivative of 0*y**3 - 17*y**2 - 1/240*y**4 + 0 + 0*y - 1/600*y**5. Factor q(g).
-g*(g + 1)/10
Let k(q) be the first derivative of -q**6/27 - 2*q**5/9 - q**4/2 - 14*q**3/27 - 2*q**2/9 + 57. What is n in k(n) = 0?
-2, -1, 0
Let l(k) be the second derivative of k**4/60 + 11*k**3/30 + k**2 - 94*k. Suppose l(a) = 0. What is a?
-10, -1
Let l = 973/646 + -2/323. Factor -l - 1/2*f**2 + 2*f.
-(f - 3)*(f - 1)/2
Let j(d) be the third derivative of 0 + 0*d - 1/6*d**5 + 5/12*d**4 + 1/21*d**7 - 1/16*d**6 - 5/672*d**8 + 0*d**3 + 16*d**2. Solve j(l) = 0.
-1, 0, 1, 2
Let t = 21 - 13. Let k(m) = -m + 10. Let q be k(t). Determine j, given that 3*j + 8*j**2 + j - 3*j**q - j**2 = 0.
-1, 0
Let j = 18281 + -18278. Suppose 10/9*i**j + 0 - 4/3*i**2 + 0*i + 2/9*i**4 = 0. Calculate i.
-6, 0, 1
Let y(u) = -25*u**4 - 35*u**3 + 56*u**2 + 4*u - 4. Let l(o) = -26*o**4 - 34*o**3 + 56*o**2 + 4*o - 3. Let a(x) = 4*l(x) - 3*y(x). Solve a(d) = 0.
-2, -2/29, 0, 1
Suppose 32*a = 37*a. Let h be (a + 8/(-2))/(-6). Solve -2/9*c**5 + 0*c + 2/3*c**4 + 2/9*c**2 + 0 - h*c**3 = 0.
0, 1
Let d(a) = -a + 46. Let r be d(15). Let t = -151/5 + r. What is o in t*o + 0 + 2*o**2 = 0?
-2/5, 0
Suppose -y + 81 = -c, -5*c - y - 429 = -0*y. Let a be 153/c*(-20)/66. Suppose a*k - 2/11 + 8/11*k**2 = 0. What is k?
-1, 1/4
Let j(r) be the third derivative of -3/14*r**7 + 0*r**3 + 9*r**2 - 5/48*r**8 + 0*r + 0 + 0*r**4 + 0*r**5 - 1/12*r**6. Factor j(c).
-5*c**3*(c + 1)*(7*c + 2)
Let o be (-30)/16*34/(-51). Let r(p) be the first derivative of -3*p**3 - 1/5*p**5 + o*p**4 - 2*p + 7/2*p**2 - 6. Factor r(h).
-(h - 2)*(h - 1)**3
Let j = 23 + -21. Factor -j*o**2 - o**2 + 4*o**2 - 3*o**2 - 4*o.
-2*o*(o + 2)
Let c(g) = -g**2 - 1. Let r be c(1). Let f(v) = -3*v**2 + 20*v + 25. Let w(u) = 2*u**2 - 20*u - 25. Let t(n) = r*w(n) - 3*f(n). Find b such that t(b) = 0.
-1, 5
Let p(z) = -19*z**5 - 3*z**4 + 8*z**3 + 3*z**2 + 11*z - 11. Let w(d) = 5*d**5 + d**4 - 2*d**3 - d**2 - 3*d + 3. Let f(v) = 6*p(v) + 22*w(v). Factor f(c).
-4*c**2*(c - 1)**2*(c + 1)
Let v(j) = -j**3 + 3*j**2 + 13*j - 13. Let r be v(5). Let u(w) be the first derivative of -2/27*w**3 + 2/9*w + 1/18*w**4 - r - 1/9*w**2. Factor u(q).
2*(q - 1)**2*(q + 1)/9
Let b(s) = 2*s**2 - 2*s - 15. Let c(n) = 14*n**2 - 14*n - 102. Let y(u) = 44*b(u) - 6*c(u). Factor y(t).
4*(t - 4)*(t + 3)
Let i(k) be the third derivative of -3*k**6/10 + 8*k**5/15 + k**4/6 + 43*k**2. Factor i(g).
-4*g*(g - 1)*(9*g + 1)
Let m(s) = -7*s**4 + 7*s**3 + 6*s - 6. Let t(u) = u**4 - u**3 - u + 1. Let h = -55 + 85. Let n(y) = h*t(y) + 5*m(y). Find d, given that n(d) = 0.
0, 1
Let n(w) be the third derivative of 0*w**3 + 0*w**4 + 1/60*w**5 - 1/60*w**6 + 0 + 45*w**2 + 0*w + 1/210*w**7. Factor n(p).
p**2*(p - 1)**2
Let n(o) be the third derivative of o**5/270 + o**4/54 + o**3/27 + 3*o**2 + 66. Factor n(i).
2*(i + 1)**2/9
Let c(m) = -m**2 - 8*m + 5. Let s be 6/((-2)/(-4) - (-10)/(-8)). Let v be c(s). Factor 4/7*l**4 - 2/7*l + 0*l**3 + 2/7*l**v + 0 - 4/7*l**2.
2*l*(l - 1)*(l + 1)**3/7
Let j(y) = -30*y**4 + 175*y**3 - 265*y**2 + 95*y. Let f(g) = 5*g**4 - 29*g**3 + 44*g**2 - 16*g. Let d(l) = 25*f(l) + 4*j(l). Factor d(p).
5*p*(p - 2)**2*(p - 1)
Let u be 2/(4*1/10). Suppose 0 = l + 2*l + 5*v - 14, -u*l + 44 = -2*v. What is g in 17 - 4*g**2 + 6*g - 6*g - l*g - 5 = 0?
-3, 1
Let i(q) = 20*q**5 + 80*q**4 + 76*q**3 + 13*q**2 + 2*q - 5. Let s(z) = z**5 + z**4 + z**3 + 2*z**2 + 1. Let c(p)