rivative of l**5/5 - 79*l**4/6 + 115*l**3/3 - 38*l**2 + 269*l. Determine d so that h(d) = 0.
1/2, 1, 38
Let k(r) be the first derivative of 2*r**6/3 + 16*r**5/5 + 4*r**4 + 71. What is l in k(l) = 0?
-2, 0
Find f such that -332*f - 5*f**2 + 0*f**2 - 5 + 687*f - 345*f = 0.
1
Solve 8*c**2 + 41*c**2 - 14*c**2 - 20*c - 15 = 0.
-3/7, 1
Let r be (-1 - (-3)/1) + 0. Suppose -h - r = -4. Solve 6*y**2 - 4*y**3 - 7*y + 11*y**2 - 5*y**h - y = 0 for y.
0, 1, 2
Let l(v) be the first derivative of 3*v**4/4 - 3*v**3 + 3*v**2 + 83. Factor l(z).
3*z*(z - 2)*(z - 1)
Factor -96/11 + 6/11*g**3 + 48/11*g + 42/11*g**2.
6*(g - 1)*(g + 4)**2/11
Let p(m) be the second derivative of -m**6/270 - m**5/18 - 2*m**4/9 - 11*m**3/3 + 16*m. Let v(j) be the second derivative of p(j). Solve v(u) = 0.
-4, -1
Let m be 8*(-29)/(-6)*(-42)/(-28). Let b = 408/7 - m. Find y such that -2/7*y**3 + 0 + b*y**2 + 0*y = 0.
0, 1
Let n(p) be the first derivative of 3*p**5/20 + 9*p**4/4 + 27*p**3/2 + 81*p**2/2 + 6*p + 15. Let a(u) be the first derivative of n(u). Factor a(l).
3*(l + 3)**3
Let d be (2/(4/3))/(-29 - -32). Factor -3/2*q - 1/2 + d*q**5 + 3/2*q**4 + q**3 - q**2.
(q - 1)*(q + 1)**4/2
Let b(v) be the second derivative of v**7/42 - v**6/6 + 7*v**5/20 + v**4/12 - 4*v**3/3 + 2*v**2 - 11*v. Suppose b(w) = 0. Calculate w.
-1, 1, 2
Let k(j) be the third derivative of j**8/25200 - j**7/3150 - j**6/300 + 3*j**5/10 + 18*j**2. Let v(r) be the third derivative of k(r). Factor v(w).
4*(w - 3)*(w + 1)/5
Let o(j) be the third derivative of j**6/30 - 19*j**5/15 + 167*j**2. What is n in o(n) = 0?
0, 19
Let a(v) = -2*v + 6. Let c be a(8). Let h(q) = q**2 + 8*q - 17. Let f be h(c). Let -1/2 - j**f + 0*j**2 + j + 1/2*j**4 = 0. Calculate j.
-1, 1
Let i be 0 - 0/(2/(-2)). Suppose i*g - 3*g = -18. Factor -6*o**4 - 3*o**3 + 2*o**5 + g*o**2 + 0*o**5 + o**5.
3*o**2*(o - 2)*(o - 1)*(o + 1)
Suppose 4*f = -t + 74, -4*f - 236 = -4*t - 5*f. Let w be t/18 + -2*(-5)/(-45). Let -2/11*k**5 - 8/11*k**2 + 0 - 8/11*k**4 - 2/11*k - 12/11*k**w = 0. What is k?
-1, 0
Let o be (-6)/((-1)/(-5)*5) + 6. Let n(z) be the third derivative of 0*z**6 + 1/15*z**5 - 2/105*z**7 + o*z**4 + 0*z + 0 + z**2 + 0*z**3. Solve n(h) = 0.
-1, 0, 1
Suppose -5*c = -59 + 14. Determine i so that -i**2 - 8*i**2 + 5*i - 5*i**2 + c*i**2 = 0.
0, 1
Let y(q) be the third derivative of -q**6/1620 + q**5/180 - q**4/54 - 2*q**3 + q**2. Let c(x) be the first derivative of y(x). Factor c(p).
-2*(p - 2)*(p - 1)/9
Let g(s) be the second derivative of -1/5*s**2 + 0 - 1/100*s**5 - 1/6*s**3 + 18*s - 1/15*s**4. Factor g(j).
-(j + 1)**2*(j + 2)/5
Let u(c) = c**2 + 4*c - 12. Let f be u(-6). Let i = 9/41 + 55/123. Solve -4/15*w**2 + 14/15*w**3 - i*w**4 + f + 0*w = 0.
0, 2/5, 1
Let u = 646 + -970. Let s = 1672/5 + u. Factor 19*y**3 + 8/5 + s*y + 5*y**4 + 114/5*y**2.
(y + 1)*(y + 2)*(5*y + 2)**2/5
Let b(f) = 9*f**3 + 367*f**2 + 8832*f + 8509. Let h(v) = -4*v**3 - 184*v**2 - 4416*v - 4250. Let a(p) = 2*b(p) + 5*h(p). Suppose a(z) = 0. What is z?
-46, -1
Let w(x) be the second derivative of 7*x**7/6 - 623*x**6/30 + 2731*x**5/20 - 4945*x**4/12 + 1972*x**3/3 - 578*x**2 - 12*x + 7. Determine z so that w(z) = 0.
1, 34/7
Find u such that -702*u + 319*u - 4 + 311*u - 68*u**2 = 0.
-1, -1/17
Let j(r) be the third derivative of -15*r**2 + 0*r**3 + 0 + 0*r + 1/45*r**5 + 1/360*r**6 + 1/18*r**4. Factor j(q).
q*(q + 2)**2/3
Let w(b) = b. Let d be w(3). Let v be 2 + -5 - d*-2. Find h such that 4*h**3 + 3*h**v + 5*h**2 - 2*h**3 = 0.
-1, 0
Suppose -b + 5 + 1 = 0. Let x be b*4/8*1. Find f such that -6*f**2 + 8*f**2 - x*f**2 = 0.
0
Let x(n) be the first derivative of 2*n**6 + 27*n**5/5 + 3*n**4/2 - 64. Let x(y) = 0. What is y?
-2, -1/4, 0
Let n(x) be the second derivative of x**5/20 - 7*x**4/12 + 18*x**2 + 8*x - 19. Find y such that n(y) = 0.
-2, 3, 6
Factor -4*q**4 - q**4 + 898*q - 898*q + 5*q**2.
-5*q**2*(q - 1)*(q + 1)
Let f(l) be the second derivative of 7*l**5/120 + l**4/36 - 7*l**3/36 - l**2/6 - 2*l - 34. Suppose f(y) = 0. What is y?
-1, -2/7, 1
Let d(o) = o - 3. Let a be d(5). Factor 0*v**3 - a*v**3 - 3 - 5 + 6*v**2.
-2*(v - 2)**2*(v + 1)
Let f(m) be the first derivative of 3*m**5/25 - 9*m**4/10 - 8*m**3/5 + 9*m**2/5 + 21*m/5 + 59. Suppose f(h) = 0. What is h?
-1, 1, 7
Let v(y) = -y**2 + y + 8. Let t be v(3). Let n(g) = -g**2 + g - 1. Let w(u) = -4*u**2 + 9*u - 12. Let b(k) = t*w(k) - 6*n(k). Solve b(l) = 0 for l.
3
Factor -21*s + 22*s**3 + 18 + 20*s**3 - 39*s**3.
3*(s - 2)*(s - 1)*(s + 3)
Suppose -3*a + 217 = 2*g, -39 = -a + 2*g + 28. Suppose -a*t = -73*t. Find k, given that 0 + 3/5*k**4 - 3/5*k**2 - 1/5*k**3 + t*k + 1/5*k**5 = 0.
-3, -1, 0, 1
Let u be 6/(-12)*(-3 + -1). Let 3*f + u*f**2 - 3*f**2 + 4*f**2 = 0. Calculate f.
-1, 0
Factor -3/2*c**2 + 3/2 - 3/4*c + 3/4*c**3.
3*(c - 2)*(c - 1)*(c + 1)/4
Let v(p) be the first derivative of p**5/25 + p**4/4 + 3*p**3/5 + 7*p**2/10 + 2*p/5 - 41. What is c in v(c) = 0?
-2, -1
Let l be 0/(16 + -12)*1. Find k, given that l - 4/13*k + 2/13*k**2 - 2/13*k**4 + 10/13*k**3 - 6/13*k**5 = 0.
-1, 0, 2/3, 1
Suppose 0*r + 3*v - 575 = -5*r, -2*v - 128 = -r. Let p = r + -102. What is j in 154/5*j**2 + 8/5 + 242/5*j**3 - p*j = 0?
-1, 2/11
Let u(y) be the second derivative of y**8/6720 + y**7/360 + y**4/6 + 5*y**3/3 - 2*y + 22. Let k(a) be the third derivative of u(a). Factor k(f).
f**2*(f + 7)
Factor -1/7*o**3 + 8/7*o + 0 + 2/7*o**2.
-o*(o - 4)*(o + 2)/7
Factor -35 - 5*o + 27 + 27 - 53*o + 37 + 2*o**2.
2*(o - 28)*(o - 1)
Let d(b) = 48*b + 2. Let w be d(0). Let 0*l**w + 0 - 4/5*l + 4/5*l**3 = 0. What is l?
-1, 0, 1
Let g(c) be the second derivative of 0*c**2 + 7*c + 1/9*c**3 + 1/54*c**4 + 0. Factor g(u).
2*u*(u + 3)/9
Let i(o) be the first derivative of -1/6*o**4 + 8/3*o + 4/3*o**2 - 2/9*o**3 + 51. Factor i(k).
-2*(k - 2)*(k + 1)*(k + 2)/3
Let w be 384/297 + (-155)/(-1116)*-8. Suppose 0 - 4/11*f**2 - w*f**5 + 2/11*f**3 + 0*f + 4/11*f**4 = 0. Calculate f.
-1, 0, 1, 2
Let c = -26061/5 - -5229. Let n(d) be the first derivative of 16/5*d + 5 + c*d**3 - 12*d**2 - 81/10*d**4. Factor n(j).
-2*(3*j - 2)**2*(9*j - 2)/5
Let b(r) be the second derivative of -r**8/4032 + r**7/7560 + r**6/432 - r**5/360 + 3*r**4/4 - 16*r. Let z(g) be the third derivative of b(g). Factor z(x).
-(x - 1)*(x + 1)*(5*x - 1)/3
Let j(d) = -d + 4. Let w be j(0). Suppose 27*p - 8*p**2 - 5*p**5 + 2*p**2 + 2*p**5 - 24*p**3 + 2*p**4 + 16*p**w - 12 = 0. What is p?
-1, 1, 4
Let t(r) be the first derivative of -r**3/12 + 127*r**2/2 - 16129*r + 898. What is p in t(p) = 0?
254
Let u be (-7)/(-6)*(555/518 + (-3)/6). Factor 13/3*m + 5*m**2 - u.
(m + 1)*(15*m - 2)/3
Factor 0 - 1/2*l**3 - 37/2*l - 19*l**2.
-l*(l + 1)*(l + 37)/2
Let x(r) be the third derivative of r**6/120 + r**5/20 - r**4/6 - r**3/2 + 7*r**2. Let h(m) = m. Let z(v) = 12*h(v) + 4*x(v). Let z(y) = 0. What is y?
-3, -1, 1
Let i = 955/17 - 12279/221. Factor 10/13*j - i - 2/13*j**2.
-2*(j - 4)*(j - 1)/13
Let z(g) = 8*g**2 + 25*g - 171. Let f(k) = -23*k**2 - 75*k + 516. Let q(d) = -3*f(d) - 8*z(d). Determine u, given that q(u) = 0.
-9, 4
Let a(z) be the third derivative of z**6/24 + 139*z**5/4 + 96605*z**4/8 + 13428095*z**3/6 + 3*z**2 - 104*z. Find v, given that a(v) = 0.
-139
Let k(g) = 2*g**5 - 4*g**4 + 2*g**3 + 2*g**2 + 8*g - 4. Let l(t) = -2*t**5 + 3*t**4 - t**3 - t**2 - 7*t + 3. Let d(a) = 5*k(a) + 6*l(a). Solve d(p) = 0.
-1, 1
Let a(t) be the first derivative of 0*t - 1/6*t**6 - t**4 + 0*t**2 + 26 - t**5 + 0*t**3. Factor a(p).
-p**3*(p + 1)*(p + 4)
Factor 2/5*l**2 - 2/5*l**4 - 2/5*l + 0 + 2/5*l**3.
-2*l*(l - 1)**2*(l + 1)/5
Let k = -2191 - -2196. Determine x so that -1 + 1/4*x**k + 4*x - 7/4*x**4 - 25/4*x**2 + 19/4*x**3 = 0.
1, 2
Let b(d) be the second derivative of d**4/78 - 8*d**3/13 + 10*d - 16. Find p, given that b(p) = 0.
0, 24
Let p = 1 - -4. Let q = -18 + 20. Factor p*i - i**q + 0*i**2 - 3*i - 1.
-(i - 1)**2
Let q(v) = -5*v**3 - 247*v**2 - 3112*v - 5297. Let t(j) = 5*j**3 + 246*j**2 + 3111*j + 5296. Let x(u) = -6*q(u) - 7*t(u). Factor x(r).
-5*(r + 2)*(r + 23)**2
Factor -3*d**2 + 3/4*d**3 - 9/4*d + 27/2.
3*(d - 3)**2*(d + 2)/4
Let p(d) = 3*d**3 - d**2 - 2*d. Let k(v) = 4*v + 2*v - 3*v**3 + 2*v**2 - 5*v. Let h(f) = -4*k(f) - 3*p(f). Factor h(l).
l*(l - 1)*(3*l - 2)
Suppose -54 + 574 = 104*w. Let v(f) be the first derivative of -5*f -