1)/2
Let z(h) be the third derivative of -2*h**7/21 - 43*h**6/24 - 65*h**5/12 - 85*h**4/24 + 15*h**3/2 + 94*h**2. Solve z(v) = 0 for v.
-9, -1, 1/4
Let x(q) be the first derivative of -q**3/4 - 393*q**2/4 - 51483*q/4 - 120. Determine y so that x(y) = 0.
-131
Factor 1/7*g**3 + 17/7*g + 8/7 + 10/7*g**2.
(g + 1)**2*(g + 8)/7
Let u(x) be the third derivative of x**7/70 - 7*x**6/40 + 9*x**5/10 - 5*x**4/2 + 4*x**3 + 2*x**2 + x. Factor u(c).
3*(c - 2)**3*(c - 1)
Let r(w) = 5*w**3 + 79*w**2 + 94*w + 48. Let z(h) = -2*h**3 - 26*h**2 - 32*h - 16. Let n(l) = -2*r(l) - 7*z(l). Factor n(s).
4*(s + 1)**2*(s + 4)
Let u(a) be the third derivative of a**8/264 - 61*a**7/1155 + 34*a**6/165 + 2*a**5/15 - 56*a**4/33 - 64*a**3/33 + 31*a**2. Suppose u(r) = 0. Calculate r.
-1, -2/7, 2, 4
Suppose -48*l - 30 = -54*l. Let p(j) be the first derivative of 0*j**2 + 1 + 0*j - 2/3*j**3 - 2/5*j**l - j**4. Factor p(n).
-2*n**2*(n + 1)**2
Let v(i) = i**3 + i**2 + i. Let w(n) = -28*n**3 + 288*n**2 - 8136*n + 70304. Let u(p) = -24*v(p) - w(p). Factor u(b).
4*(b - 26)**3
Let r(h) be the first derivative of -7*h**5/20 - h**4 - h**3/2 + h**2 + 7*h + 6. Let s(f) be the first derivative of r(f). Solve s(u) = 0 for u.
-1, 2/7
Let m = 23 + -18. Let z(q) = -5*q**2 - 5*q + 15. Let r(a) = a**3 - 6*a**2 - 5*a + 14. Let n(x) = m*r(x) - 4*z(x). Factor n(l).
5*(l - 2)*(l - 1)*(l + 1)
Let b be ((-9)/42)/(252/(-49)). Let u(q) be the second derivative of 0 + 7*q + 0*q**2 - b*q**4 - 1/24*q**3 - 1/80*q**5. Factor u(i).
-i*(i + 1)**2/4
Let m(l) be the second derivative of l**6/10 - 27*l**5/20 + 7*l**4/2 - 24*l - 2. Solve m(n) = 0.
0, 2, 7
Determine y so that 21*y**2 + 10*y + 0*y**2 - 2*y**3 - 13*y**2 = 0.
-1, 0, 5
Suppose -615*o = -618*o - 5*d + 34, -2*o - 3*d + 21 = 0. Determine l, given that -43/2*l**o + 115/6*l**2 - 17/2*l - 8/3*l**5 + 12*l**4 + 3/2 = 0.
3/4, 1
Let l(k) = -k**4 + 12*k**3 + 19*k**2 + 2*k - 4. Let h(x) = -3*x**4 + 48*x**3 + 75*x**2 + 9*x - 15. Let v(n) = -4*h(n) + 15*l(n). Factor v(m).
-3*m*(m + 1)**2*(m + 2)
Solve -8/3*o**2 - 28/9 - 6*o + 2/9*o**3 = 0 for o.
-1, 14
Suppose -393*z + 392*z = 0. Let i(x) be the first derivative of z*x - 6 + x**2 + 2/9*x**3. Let i(s) = 0. What is s?
-3, 0
Let f(q) be the first derivative of q**4/12 - 2*q**3/3 - 36*q - 30. Let t(z) be the first derivative of f(z). Let t(h) = 0. Calculate h.
0, 4
Let r = -167/156 - -15/13. Let s(z) be the third derivative of -r*z**3 - 3*z**2 + 0 + 0*z + 1/240*z**5 - 1/96*z**4. Factor s(l).
(l - 2)*(l + 1)/4
Let k(b) be the third derivative of b**8/43680 - b**7/8190 - b**6/936 + b**5/130 - 17*b**4/24 - 15*b**2. Let q(u) be the second derivative of k(u). Factor q(w).
2*(w - 3)*(w - 1)*(w + 2)/13
Find p such that 0*p**3 - 1/10*p**4 + 1/2*p**2 - 2/5 + 0*p = 0.
-2, -1, 1, 2
Let m be 3/(-12) + 290/152 + -1. Let x = m - 3/19. Solve -1/6 + 1/3*d**3 - 1/3*d**2 + x*d**4 - 1/2*d + 1/6*d**5 = 0.
-1, 1
Let j(w) = -5*w**3 + 10*w**2 - 6*w + 16. Let n(s) = 14*s**3 - 29*s**2 + 17*s - 47. Let u(i) = -11*j(i) - 4*n(i). Let r be u(6). Factor r + 0*t + 2/7*t**2.
2*t**2/7
Let n(i) be the second derivative of 0 - 3/4*i**2 - 1/48*i**4 + 10*i - 5/24*i**3. Factor n(z).
-(z + 2)*(z + 3)/4
Let a(l) = l**2 + 13*l + 29. Let r be a(-12). Suppose 5*t + r = -4*m, -2*m + 2 = 2*t + 8. Solve -6/7*z**m + 2/7*z**3 - 4/7 + 2/7*z**4 - 10/7*z = 0 for z.
-1, 2
Let p(i) be the third derivative of i**7/70 + 19*i**6/40 - 63*i**5/20 + 65*i**4/8 - 11*i**3 - 157*i**2. Determine u so that p(u) = 0.
-22, 1
Let a = -3/179 - 1187/3938. Let l = 91/44 + a. Let l*y**3 + 3/4*y**4 + 1/2*y**2 + 0*y + 0 = 0. Calculate y.
-2, -1/3, 0
Let f(m) be the first derivative of -5*m**9/3024 - m**8/336 + 13*m**3/3 + 13. Let k(x) be the third derivative of f(x). Let k(l) = 0. What is l?
-1, 0
Let i(a) be the third derivative of -a**9/13608 - a**8/3780 + 16*a**3/3 - 5*a**2 - 3*a. Let f(x) be the first derivative of i(x). Factor f(s).
-2*s**4*(s + 2)/9
Let w(j) be the third derivative of -j**4/24 + 3*j**3/2 + 2*j**2. Let n be w(4). Factor -2*g - 6*g**3 + g + 2*g**3 + n*g.
-4*g*(g - 1)*(g + 1)
Let f(g) be the second derivative of g**6/180 - g**5/60 + g**3/18 - g**2/12 + 69*g - 2. Factor f(p).
(p - 1)**3*(p + 1)/6
Factor -l**3 + l + 5/2*l**2 - 5/2*l**4 + 0.
-l*(l - 1)*(l + 1)*(5*l + 2)/2
Let o = 59 + -50. Suppose -3*t + 15 = 2*l, -3*l + o + 0 = 0. Factor 0 - 2/3*g + 4/3*g**4 + 5/3*g**2 + 11/3*g**t.
g*(g + 1)*(g + 2)*(4*g - 1)/3
Let b(k) be the second derivative of 6*k + 12*k**3 + 49/12*k**7 - 14/5*k**5 - 49/4*k**6 + 4*k**2 + 43/3*k**4 + 0. Solve b(i) = 0 for i.
-2/7, 1, 2
Let y(p) be the first derivative of -p**7/70 + p**5/10 - p**3/2 - 2*p**2 - 25. Let t(f) be the second derivative of y(f). Let t(h) = 0. What is h?
-1, 1
Let t be (8 + -8)/((-10)/(-5) + -1). Let c(j) be the third derivative of 0*j - 1/30*j**5 - j**3 + 1/4*j**4 - 2*j**2 + 1/540*j**6 + t. Find u such that c(u) = 0.
3
Let d(a) = -1. Suppose -3*t + t = 14. Let q = -13 - t. Let y(g) = -3*g**2 + 12*g - 6. Let j(v) = q*d(v) - y(v). Factor j(o).
3*(o - 2)**2
Let w(h) be the second derivative of 5/6*h**4 + 1/4*h**5 + 13*h + 0*h**2 + 5/6*h**3 + 0. Determine r, given that w(r) = 0.
-1, 0
Let r(x) be the second derivative of -x**5/90 + x**4/18 - x**3/9 + 5*x**2 - 7*x. Let t(i) be the first derivative of r(i). Solve t(l) = 0 for l.
1
Let m be 140/240 - (23/12 - 2). Solve -2*a + 2/3 + 2*a**2 - m*a**3 = 0 for a.
1
Factor 5/3 + 11/3*c + 7/3*c**2 + 1/3*c**3.
(c + 1)**2*(c + 5)/3
Let w(p) be the second derivative of 0 + 7/6*p**3 - 6*p + 2*p**2 - 1/6*p**4. Factor w(c).
-(c - 4)*(2*c + 1)
Suppose 11*r = 123 - 68. Let n(f) be the first derivative of 1/4*f**4 + 0*f - 1/9*f**3 - 1 - 2/15*f**r + 0*f**2. Factor n(u).
-u**2*(u - 1)*(2*u - 1)/3
Factor 16*m - 41*m**4 + 39*m**4 - 8*m - 6*m**3.
-2*m*(m - 1)*(m + 2)**2
Let g(i) = i + 1. Let p(q) = -2*q**2 - 4*q - 4. Suppose 3*v = -2 + 8. Suppose -3 = v*f - 1. Let l(a) = f*p(a) + 4*g(a). Suppose l(r) = 0. Calculate r.
-2
Find c, given that -1/10*c - 1/5 + 1/10*c**2 = 0.
-1, 2
Suppose -121*u + 151*u = 0. Let l(m) be the second derivative of 0*m**2 + u - 2*m - 1/21*m**4 + 2/105*m**6 - 1/35*m**5 + 2/147*m**7 + 0*m**3. Factor l(d).
4*d**2*(d - 1)*(d + 1)**2/7
Let z(c) = -10*c**3 - 3*c**2 + 24*c + 43. Let f(q) = 3*q**3 + q**2 - 8*q - 14. Let d(o) = -21*f(o) - 6*z(o). Determine y, given that d(y) = 0.
-2, 3
Let m(v) = 0 + 0 + 0 - 5 - v. Let c be m(-7). Determine d, given that 2/3*d**4 + 0 - 2/3*d**c + 0*d + 0*d**3 = 0.
-1, 0, 1
Let r(u) be the third derivative of -u**7/210 + 7*u**6/20 + 11*u**5/5 + 67*u**4/12 + 15*u**3/2 + 30*u**2. Solve r(m) = 0.
-1, 45
Suppose 6*b = 4*b, -4*b = 3*m + 231. Let f = 637/8 + m. Suppose f*k + 15/8*k**3 + 3/4 + 27/8*k**2 + 3/8*k**4 = 0. What is k?
-2, -1
Let k(y) be the third derivative of y**5/30 + y**4/3 + 4*y**3/3 + 27*y**2 - 2. What is b in k(b) = 0?
-2
Let m(y) be the third derivative of y**8/112 - 2*y**7/35 + y**6/40 + 7*y**5/10 - 5*y**4/2 + 4*y**3 + 4*y**2 + 20*y. Solve m(a) = 0.
-2, 1, 2
Let x(a) be the second derivative of 9*a**5/5 + 8*a**4 - 35*a**3/6 + 3*a**2/2 + 87*a. Factor x(u).
(u + 3)*(6*u - 1)**2
Let g(l) be the first derivative of 2/3*l**3 + 4 + l**2 - 1/2*l**4 - 2*l. Factor g(s).
-2*(s - 1)**2*(s + 1)
Suppose 0 = -3*v + 4 + 2. Factor -2 + d + 1 + 2*d - d - d**v.
-(d - 1)**2
Let z be (6/(-14))/(900/(-1050)). Solve -1 - 3/4*t**2 + z*t**3 + 1/4*t**4 - 2*t = 0.
-2, -1, 2
Let s = -33 - -35. Determine g, given that -51*g**4 - 2*g**s + 54*g**4 - g**2 = 0.
-1, 0, 1
Let b(k) be the second derivative of k**4/36 - 91*k**3/18 + 15*k**2 - 271*k. Suppose b(u) = 0. Calculate u.
1, 90
Let k(a) = a**3 - 5*a**2 + 2*a + 2. Let f be k(5). What is b in 6*b**3 + b + b**4 - 16*b - f + 3*b + 9*b**2 - 4*b**4 = 0?
-1, 2
Let x(z) be the first derivative of -2/7*z**3 + 6/7*z - 26 - 1/7*z**2 + 1/14*z**4. Factor x(q).
2*(q - 3)*(q - 1)*(q + 1)/7
Let i be (18/63)/((-10)/(-105)). Let b(v) be the third derivative of 0*v + 0*v**i - 1/20*v**4 + 7/100*v**5 - 7*v**2 + 0. Suppose b(g) = 0. Calculate g.
0, 2/7
Let u = 21/904 + 1661/6328. Let -2/7*k**3 + 2/7*k + 2/7*k**2 - u = 0. What is k?
-1, 1
Let q be (-3 - -3)/(5 + -5 + -1). Suppose -2/3*c**3 + q + 0*c - 2/3*c**2 = 0. What is c?
-1, 0
Suppose -3*x = -7*x - 2*v + 6, -3 = 3*v. Factor 4 - 2*c - 4*c**2 - c**3 + 8*c**3 - 3*c**3 - x*c.
4*(c - 1)**2*(c