rd derivative of d**6/80 - 3*d**5/20 - 45*d**4/16 + 25*d**3/2 + 499*d**2. Solve i(l) = 0 for l.
-5, 1, 10
Let 6/5 + 2/5*p**2 - 8/5*p = 0. What is p?
1, 3
Factor 7*u**2 - 56*u - 2*u**2 + 3 - 24*u - u**2 + 73.
4*(u - 19)*(u - 1)
Solve -486/19*u**3 + 54/19*u**4 + 0*u + 0 + 1458/19*u**2 - 2/19*u**5 = 0 for u.
0, 9
Let g(c) be the second derivative of -c**7/56 - 3*c**6/20 - 3*c**5/20 + 3*c**4/8 + 5*c**3/8 + 10*c. Solve g(y) = 0.
-5, -1, 0, 1
Let u = -2093/6 - -349. Let l(x) be the first derivative of 0*x**2 + 0*x - u*x**4 + 0*x**3 + 9. Determine p so that l(p) = 0.
0
Let h = -103 - -69. Let v be 1/(-2) + (-153)/h. Find q, given that 8*q**2 + v*q**5 - 4 - 4*q**4 + 12*q + 12*q - 20*q - 8*q**3 = 0.
-1, 1
Let q(i) = 5*i**5 + 7*i**4 - 3*i**3 - 13*i**2 - 2*i. Let y(s) = 11*s**5 + 15*s**4 - 7*s**3 - 28*s**2 - 4*s. Let d(x) = 13*q(x) - 6*y(x). Factor d(n).
-n*(n - 2)*(n - 1)*(n + 1)**2
Let j be 72/6*(2 - 6/(-4)). Let v = -42 + j. Factor 2/5*x**2 + v - 2/5*x.
2*x*(x - 1)/5
Let p(n) be the first derivative of n**3/18 + 11*n**2/12 + 5*n + 85. Factor p(g).
(g + 5)*(g + 6)/6
Let u(k) be the first derivative of -k**3/27 + 7*k**2/9 + 5*k/3 - 153. Let u(i) = 0. What is i?
-1, 15
Let t(s) = -10*s**5 + 16*s**4 - 11*s**3 - 7*s**2 + 3*s. Let k(p) = p**5 - p**4 + p. Let x(b) = -18*k(b) - 2*t(b). Suppose x(g) = 0. Calculate g.
-1, 0, 1, 3, 4
Let i = 421 + -421. Let f(h) be the third derivative of 0*h**4 + 1/210*h**7 + 0*h**5 + 0*h**3 + i*h - 1/120*h**6 + 0 - 4*h**2. Solve f(v) = 0 for v.
0, 1
Let r = -111 + 2665/24. Let w(a) be the second derivative of -1/60*a**6 + 0 + r*a**3 - 4*a + 1/24*a**4 + 0*a**5 + 0*a**2 - 1/168*a**7. Factor w(s).
-s*(s - 1)*(s + 1)**3/4
Suppose -26/9*b**3 + 8/9 - 34/9*b + 4/9*b**4 + 16/3*b**2 = 0. Calculate b.
1/2, 1, 4
Let k(z) be the second derivative of z**7/63 - 4*z**5/15 - z**4/3 + 7*z**3/9 + 2*z**2 + 14*z. Suppose k(q) = 0. Calculate q.
-2, -1, 1, 3
Let x be 10 - ((21 - 7) + -7). Suppose -x = -14*b + 25. Solve 1/8*a**b + 0 + 0*a + 3/8*a**5 + 1/8*a**3 - 5/8*a**4 = 0 for a.
-1/3, 0, 1
Let w(p) be the third derivative of -p**8/840 - 2*p**7/525 + p**6/60 + p**5/25 + 3*p**2 - 5*p. Solve w(n) = 0.
-3, -1, 0, 2
Let a(q) = 35*q - 35. Let m be a(8). Solve -246*f - 3*f**2 + m*f + 2*f**2 = 0.
-1, 0
Let g(s) be the first derivative of 13 - 11/6*s**4 + 4/3*s**2 - 2/15*s**5 + 2*s**3 - 8/3*s + 1/3*s**6. Solve g(t) = 0 for t.
-2, -2/3, 1
Find h, given that 0*h**2 - 2*h - 2*h**2 + 522 - 438 = 0.
-7, 6
Let d(a) = a**3 - 17*a**2 + 18. Let r be d(17). Let o = -15 + r. Factor -4*x**4 - 21*x**3 - 6*x - 5 + 7*x**4 + 27*x**o + 2.
3*(x - 1)*(x + 1)**3
Let n = 1446 + -1446. Let g(s) be the third derivative of -1/60*s**5 - 1/240*s**6 - 1/48*s**4 + 0 - 4*s**2 + n*s**3 + 0*s. Factor g(z).
-z*(z + 1)**2/2
Let s(q) = q**3 + 24*q**2 + 125*q + 308. Let c be s(-18). Factor 8*b + 4/3*b**c - 28/3.
4*(b - 1)*(b + 7)/3
Let r(t) = 1. Let j(s) be the second derivative of -s**4/4 - s**3/2 + 21*s**2/2 + 10*s. Let o(d) = j(d) - 15*r(d). Solve o(f) = 0 for f.
-2, 1
Let b(l) = l**3 + 2*l**2 - 3*l + 4. Let q(o) = 2*o**3 + 4*o**2 - 7*o + 8. Let s(r) = -5*b(r) + 2*q(r). Let j be s(-3). Factor -11 + 5 + 3 + j + 2*w**2 - w**4.
-(w - 1)**2*(w + 1)**2
Let i(z) = z**2 + 2. Let k(v) = -5*v**2 + 40*v + 24. Let b(p) = -14*i(p) - 2*k(p). Factor b(w).
-4*(w + 1)*(w + 19)
Let p(u) be the second derivative of 25*u**4/12 - 15*u**3/2 + 81*u**2/8 - 223*u. Let p(y) = 0. Calculate y.
9/10
Suppose 3*u - 12 = 3*h, 4*u - 6*u = 2*h. Suppose -u*f = -0*f - 8. Factor -3*s**f - 3*s - 2*s + 3*s**2 + 3*s**3 + 2*s.
-3*s*(s - 1)**2*(s + 1)
Let x(v) be the third derivative of -v**6/1440 - v**5/96 - v**4/24 + 13*v**3/6 - 18*v**2. Let r(z) be the first derivative of x(z). Factor r(a).
-(a + 1)*(a + 4)/4
Factor 80*t + 18*t**2 - t**2 - 2*t**3 - 3*t**2 + 88.
-2*(t - 11)*(t + 2)**2
Let w(v) = 8*v**4 - 124*v**3 - 6*v**2 + 62*v. Let i(b) = -3*b**4 + 41*b**3 + b**2 - 21*b. Let x(s) = -20*i(s) - 6*w(s). Suppose x(l) = 0. Calculate l.
-2/3, 0, 1, 6
Suppose q = 4*q. Suppose -p - 8 + 19 = q. Factor 2*r**3 - 2*r**3 - 16*r**4 + 12*r**5 - p*r**4 + 6*r**3.
3*r**3*(r - 2)*(4*r - 1)
Let x = 7 - 11. Let a(o) = -o + 1. Let r(z) = -7*z**2 - 9*z + 11. Suppose -12*j + 13*j = 44. Let s(k) = j*a(k) + x*r(k). Factor s(i).
4*i*(7*i - 2)
Let x = -29 + 44. Factor 10*b**2 + 5*b**4 + 11*b - x - 40*b**2 - 51*b.
5*(b - 3)*(b + 1)**3
Suppose 2*d**2 - 98*d + 3015 - d**2 + 706 + 220*d = 0. What is d?
-61
Let o(k) = -k. Let p(r) be the second derivative of 25*r**4/6 + 7*r**3/6 - 8*r. Let t(d) = -2*o(d) - p(d). Factor t(n).
-5*n*(10*n + 1)
Let b(p) be the third derivative of p**8/840 - p**7/1260 - p**5/20 + 26*p**2. Let s(z) be the third derivative of b(z). Factor s(l).
4*l*(6*l - 1)
Let k(m) be the first derivative of m**3/7 - 75*m**2/7 + 1875*m/7 - 45. Factor k(l).
3*(l - 25)**2/7
Let q(t) be the first derivative of -t**4/6 - 4*t**3 + 19*t**2/3 - 46. Determine g so that q(g) = 0.
-19, 0, 1
Let p = -2655 - -2659. Factor 0*i - 4/3*i**2 + 2/3*i**p + 0 - 2/3*i**3.
2*i**2*(i - 2)*(i + 1)/3
Suppose -131*y = -117*y. What is v in y - 51/4*v**2 - 9/2*v - 21/2*v**3 - 9/4*v**4 = 0?
-3, -1, -2/3, 0
Let u(y) be the first derivative of 5*y**6/11 - 64*y**5/55 + 2*y**4/11 - 271. Factor u(p).
2*p**3*(p - 2)*(15*p - 2)/11
Suppose -4*r + 5*n - 7 = -42, -4*r = -3*n - 29. Let x = r - 3. What is y in -x*y**4 + 0*y**2 - 6*y**3 + 4*y**2 - y**4 + 5*y**4 = 0?
0, 1, 2
Let c(f) be the first derivative of -f**6/135 + f**5/45 + f**4/54 - 2*f**3/27 - 15*f - 3. Let n(l) be the first derivative of c(l). Factor n(y).
-2*y*(y - 2)*(y - 1)*(y + 1)/9
Let k = -99 - -119. Find z, given that 3*z**3 - 29*z + k*z - 7 + 1 = 0.
-1, 2
Let a(y) = -y**3 - 8*y**2 + 7*y - 7. Let s be a(-9). Let u = s - 9. Solve -24*f - 111 + 75 - 3*f**2 - f**u = 0.
-3
Find x such that 9/2*x**3 - 7/2*x**2 - 10*x - 2 = 0.
-1, -2/9, 2
Let i(d) = -10*d**2 + 93*d + 2726. Let g(u) = u**2 + u - 2. Let w(t) = 44*g(t) + 4*i(t). Let w(a) = 0. What is a?
-52
Let y be ((-2)/3*-1*-6)/(-2). Let w(h) be the second derivative of -1/3*h**3 + 0 - 2*h + 3/2*h**y - 1/12*h**4. Factor w(c).
-(c - 1)*(c + 3)
Suppose -n = 5*c, n - 3*n - 2*c = 0. Let j(f) be the second derivative of 0 + n*f**2 - 1/30*f**4 + 2/15*f**3 + f. Factor j(o).
-2*o*(o - 2)/5
Let j = 757/431302 - 5/1138. Let b = 3039/2653 + j. Find k such that -8/7*k**2 + b*k**3 - 4/7 - 2*k = 0.
-1/2, 2
Let s(k) be the first derivative of -k**6/10 - 9*k**5/20 - 3*k**4/4 - k**3/2 - k + 7. Let l(f) be the first derivative of s(f). Find h such that l(h) = 0.
-1, 0
Suppose -76 - 184 = -52*p. Let h(v) be the second derivative of 0*v**4 + 0*v**3 + 1/14*v**7 + 2*v + 0*v**2 + 3/20*v**p - 1/5*v**6 + 0. Factor h(x).
3*x**3*(x - 1)**2
Let d(z) be the third derivative of z**5/6 + z**4/6 - z**3/6 - 28*z**2. Let o(l) = -41*l**2 - 17*l + 4. Let k(p) = -18*d(p) - 4*o(p). Factor k(h).
-2*(2*h + 1)*(4*h - 1)
Let s(z) be the third derivative of z**6/1080 - 67*z**5/540 + 131*z**4/216 - 65*z**3/54 - 2*z**2 - 126. Solve s(y) = 0.
1, 65
Suppose 93*p - 95*p + 20 = -5*r, 0 = -2*p + 3*r + 12. Find j such that 2/3*j + 0 - 2/3*j**3 + p*j**2 = 0.
-1, 0, 1
Let t(x) be the first derivative of x**6/36 + x**5/8 - 5*x**4/12 + 3*x**3 - 8. Let f(w) be the third derivative of t(w). Factor f(d).
5*(d + 2)*(2*d - 1)
Let q(k) be the third derivative of -k**6/60 + 17*k**5/30 + 3*k**4/2 + 2*k**2 + 4. What is r in q(r) = 0?
-1, 0, 18
Let t(d) = 4*d**3 + 20*d**2 - 4*d - 25. Let m(l) = -2*l**3 - 10*l**2 + 2*l + 13. Let w(s) = 5*m(s) + 3*t(s). Factor w(r).
2*(r - 1)*(r + 1)*(r + 5)
Let l(u) = -u**3 - 7*u**2 + 3. Let a be l(-7). Let x = 24505 + -24501. Factor 0 - 3*m**a + 12/5*m**x - 3/5*m**5 + 0*m + 6/5*m**2.
-3*m**2*(m - 2)*(m - 1)**2/5
Let w = -363 - -368. Let l(a) be the second derivative of 1/3*a**3 + 1/2*a**2 + 0 - w*a + 1/12*a**4. Factor l(k).
(k + 1)**2
Let z(w) be the first derivative of 4 + 0*w - w**2 + 10/3*w**3 - 3/2*w**4 - 18/5*w**5. Let z(o) = 0. What is o?
-1, 0, 1/3
Let t be (0 + 2)/(9/(-126)*-7). Let b(u) be the second derivative of 1/60*u**6 + 8*u + 0 - 1/40*u**5 + 0*u**2 + 0*u**t + 0*u**3. Factor b(m).
m**3*(m - 1)/2
Suppose -104*z = -3*h - 105*z + 5, 2*z = 5*h - 12. Find c such that 0*c**h + 4/3*c**3 + 2/3*c**4 - 4/3*c - 2/3 = 0.
-1, 1
Let o(f) be the third derivative of -2/175*f**7 + 1/50*f**5 + 1/50*f**6