rst derivative of 4*k**4/7 + 2*k**3/7 - 8*k**2/7 - 6*k/7 - 77. Factor v(x).
2*(x - 1)*(x + 1)*(8*x + 3)/7
Let s(r) be the first derivative of 2 + 0*r - r**3 + 3/4*r**4 + 0*r**2. Find t such that s(t) = 0.
0, 1
Let o = 239 - 3583/15. Let s(i) be the first derivative of -1/30*i**6 + o*i**3 - 1/10*i**2 - 1/25*i**5 - 6 - 1/5*i + 1/10*i**4. Solve s(g) = 0 for g.
-1, 1
Let c(j) be the first derivative of j**6/18 + 22*j**5/15 + 145*j**4/12 + 152*j**3/9 - 416*j**2/3 + 512*j/3 - 52. Solve c(t) = 0.
-8, 1
Suppose -5*h - 15 = 0, 3*h - 21 = u - 6*u. Let -9*o - u*o + 16*o**2 - 4*o - 6 + 9*o = 0. What is o?
-3/8, 1
Find g such that 9/2*g**2 + 3/4*g**3 + 0 + 0*g = 0.
-6, 0
Let k be (-24)/(-180)*(-5)/4 + (-5)/(-30). Solve 5/2*m**4 - 5/2*m**2 + m**5 + k*m**3 + 0 - m = 0.
-2, -1, -1/2, 0, 1
Suppose n = 5, 0*n = o + 2*n - 12. Suppose 4*b = b + o*b. Find g, given that 1/2*g**5 + 1/2*g + b*g**4 - g**3 + 0 + 0*g**2 = 0.
-1, 0, 1
Suppose -6 = d - 2*g + 6, 3*g = 2*d + 27. Let q be (4 + -3)/((-2)/d). What is k in -3*k**3 - 17*k - 3 + 0 + 5*k + 3*k - q*k**2 = 0?
-1
Let t(x) be the third derivative of x**8/2240 + x**7/840 + 5*x**4/8 + 17*x**2. Let m(h) be the second derivative of t(h). Suppose m(z) = 0. What is z?
-1, 0
Let b = 155 + -153. Determine n, given that -1/3*n**4 - 625/3 + 500/3*n + 20/3*n**3 - 50*n**b = 0.
5
Solve 3/4*f**3 + 11/4*f**2 + 5/4 - 19/4*f = 0 for f.
-5, 1/3, 1
Let z(x) = 6*x**2 + 4*x - x**2 + 15 + 8*x. Let y(u) = -14*u**2 - 36*u - 46. Suppose 0 = -3*p + 7 + 17. Let s(f) = p*z(f) + 3*y(f). Factor s(d).
-2*(d + 3)**2
Let v(c) be the third derivative of -c**8/1344 + 9*c**7/280 + 121*c**6/480 + 97*c**5/240 - 5*c**4/4 - 31*c**3/6 + 5*c**2 + 18*c. Let v(r) = 0. What is r?
-2, -1, 1, 31
Let v(o) = 3*o**2 + o. Let j be (0 + 2)*8/(-16). Let a be v(j). Solve -15*w**a - 3*w - 5*w + 2*w = 0.
-2/5, 0
Let j(v) = -33*v**4 + 59*v**3 - 22*v**2 - 6*v + 1. Let h(b) = b**3 + b**2 - 1. Let u = 22 - 21. Let a(x) = u*j(x) + h(x). Find m, given that a(m) = 0.
-2/11, 0, 1
Let v(i) = i**5 + i**3 - i**2 - 2*i + 1. Let h(a) = a**5 + 5*a**4 + 9*a**3 - 7*a**2 - 10*a + 2. Let w(g) = 3*h(g) - 6*v(g). Solve w(t) = 0 for t.
-1, 0, 1, 6
Let h(t) = -t**2 + t + 2. Let i(g) = 8*g**2 - 17*g - 18. Let a(z) = 36*h(z) + 4*i(z). Determine l so that a(l) = 0.
-8, 0
Let t(b) = b**3 + b**2 - b. Let o(y) = -2*y**4 - 12*y**3 + 50*y**2 + 56*y. Let v(l) = -o(l) + 4*t(l). Determine k so that v(k) = 0.
-10, -1, 0, 3
Suppose 15*z = -41 + 146. Let x(u) be the second derivative of 0*u**3 + 1/90*u**5 + 8*u + 0*u**2 + 0*u**6 + 0 - 1/189*u**z + 0*u**4. Factor x(d).
-2*d**3*(d - 1)*(d + 1)/9
Factor 19*m - 9*m**2 + 171*m - 1172 + 68*m - 785 + 108.
-(3*m - 43)**2
Suppose -10 = -2*o - 3*o. Factor 5*l + 18*l**o - 5*l - 13*l**2 + 5*l**3.
5*l**2*(l + 1)
Solve -2*h**3 + 3*h**4 - 6*h**2 - 94*h + 2 + 96*h + h**4 = 0 for h.
-1, -1/2, 1
Let g(c) be the second derivative of 48*c + 9/4*c**4 + 49/40*c**6 - 119/40*c**5 + 1/8*c**2 - 3/4*c**3 + 0. Let g(h) = 0. Calculate h.
1/7, 1/3, 1
Let t(j) be the third derivative of j**7/630 - 13*j**6/45 + 338*j**5/15 - 8788*j**4/9 + 228488*j**3/9 - 36*j**2. Determine q so that t(q) = 0.
26
Let j = 210 + -205. Suppose -4 = s - 5*r + 11, -j*r = 4*s - 15. Find m, given that 3/4*m**3 + 0*m**2 + 0 + s*m = 0.
0
Let t(w) = -5*w**5 + 35*w**4 - 34*w**3 + 4*w**2 - 4*w + 8. Let j(g) = g**5 - g**4 + g**3 - g**2 + g - 2. Let n(p) = 12*j(p) + 3*t(p). Factor n(f).
-3*f**3*(f - 30)*(f - 1)
Let h(b) be the second derivative of b**6/90 + b**5/20 - b**4/36 - b**3/6 - b - 19. Let h(w) = 0. Calculate w.
-3, -1, 0, 1
Let s be (-78)/21 + (-236)/(-59). Solve -2/7*y**4 + 0 + 4/7*y**2 - s*y**3 + 0*y = 0 for y.
-2, 0, 1
Let o(h) be the second derivative of h**5/5 - h**4 + 4*h**3/3 - 4*h + 16. Let o(u) = 0. Calculate u.
0, 1, 2
Let x(m) be the first derivative of -m**6/12 - 3*m**5/10 + 3*m**4/8 + 11*m**3/6 + 3*m**2/2 - 60. Determine u so that x(u) = 0.
-3, -1, 0, 2
Let w(n) be the second derivative of -n**7/1260 + n**5/60 - n**4/18 + 7*n**3/3 - 16*n. Let p(m) be the second derivative of w(m). Factor p(h).
-2*(h - 1)**2*(h + 2)/3
Let -4/7 - 6/7*x - 2/7*x**2 = 0. What is x?
-2, -1
Let i = 117 + -115. Suppose -i*h + 19 = 13. Suppose -h*k**2 - 7/2*k + 2*k**3 + 3/2*k**5 - 1 + 4*k**4 = 0. What is k?
-1, -2/3, 1
Let r = -1059/5 - -7418/35. Determine v so that 1/7*v**2 - 1/7*v**4 + 1/7*v**3 - r*v**5 + 0 + 0*v = 0.
-1, 0, 1
Let a(v) be the second derivative of -10*v**7/21 - 44*v**6/15 - 33*v**5/5 - 20*v**4/3 - 8*v**3/3 + 3*v + 9. Determine o, given that a(o) = 0.
-2, -1, -2/5, 0
Let q(t) be the third derivative of 1/240*t**6 + 0*t + 8*t**2 + 7/6*t**3 + 3/16*t**4 + 0 + 1/20*t**5. Let d(w) be the first derivative of q(w). Factor d(o).
3*(o + 1)*(o + 3)/2
Solve -8/9*p**4 + 10/9*p**3 - 2/3*p**5 + 4/9*p**2 + 0*p + 0 = 0.
-2, -1/3, 0, 1
Let l = -209 + 174. Let h be 25/l*(-21)/2. Let -3 + h*o**2 + 9/2*o = 0. What is o?
-1, 2/5
Suppose a = -1 - 2. Let c be (a - -2) + (-1 - -5). Let 0 + 0*l + 2/9*l**4 + 2/9*l**2 - 4/9*l**c = 0. Calculate l.
0, 1
Let y(b) be the first derivative of b**3/12 - 11*b**2/8 + 6*b + 311. Factor y(t).
(t - 8)*(t - 3)/4
Find p, given that -9/2*p**5 - 1499*p**3 + 1548*p**2 + 159*p**4 + 289 + 3111/2*p = 0.
-1/3, 2, 17
Let t(p) = -2*p**2 - 24*p - 72. Let m(w) = -w**2 - 8*w - 24. Let v(g) = -8*m(g) + 3*t(g). Determine k, given that v(k) = 0.
-2, 6
Find f, given that 0*f + 32/3 + 14/3*f**4 - 64/3*f**2 - 2*f**5 + 8*f**3 = 0.
-2, -2/3, 1, 2
Let -169*b**4 - 18*b**4 - 1169*b - 2*b**4 + 708*b**3 + 12*b**5 - 192 + 449*b + 381*b**2 = 0. Calculate b.
-1, -1/4, 1, 8
Let n(u) be the first derivative of -4/27*u**3 - 8/45*u**5 + 0*u + 5/18*u**4 + 1/27*u**6 - 2 + 0*u**2. Solve n(r) = 0 for r.
0, 1, 2
Let u(w) be the third derivative of -w**5/30 - 7*w**4/3 + 31*w**3 + 904*w**2. Factor u(c).
-2*(c - 3)*(c + 31)
Let u(d) be the first derivative of 9*d - 6*d**2 + d**3 - 19 + 3*d + 17. Factor u(f).
3*(f - 2)**2
Let k(n) = 11*n**3 - 3*n**2 - n + 2. Let w be k(-2). Let j = 100 + w. Suppose 0 - 1/2*y + 1/2*y**2 - 1/2*y**j + 1/2*y**3 = 0. Calculate y.
-1, 0, 1
Let u be (8/(-12) - 0)*-3. Let q be 3/(1 + -4) + u. Determine o, given that -2 - q + 2*o**4 + 5 - 4*o**2 = 0.
-1, 1
Let t(b) be the third derivative of b**5/20 - b**3/2 + 198*b**2. Solve t(q) = 0.
-1, 1
Suppose -f = -3*f + 2*b - 16, -4*b = -3*f - 29. Let x be ((-6)/(-18))/(f/(-30)). Factor 8/3 + x*q**2 + 2/3*q**3 + 16/3*q.
2*(q + 1)*(q + 2)**2/3
Let o(l) be the third derivative of -l**7/60 - 11*l**6/360 + l**5/24 + l**4/12 - 2*l**3/3 - 4*l**2. Let x(d) be the first derivative of o(d). Factor x(h).
-(h + 1)*(2*h - 1)*(7*h + 2)
Let h = 180 + -371/2. Let x = h + 6. Factor 0 - x*r**3 + 0*r**2 + 0*r.
-r**3/2
Let x(g) be the second derivative of 5*g**7/378 + 19*g**6/270 - 7*g**5/90 - 29*g**4/54 + 19*g**3/18 - g**2/2 + 168*g. Solve x(k) = 0.
-3, 1/5, 1
Determine j, given that 9/2*j**4 - 25/2*j**2 + 1/2*j**5 + 15/2*j**3 + 0 + 0*j = 0.
-5, 0, 1
Let v = -4 + 6. Let k be 16065/9520*(-1 - (-14)/(-6)*-1). Factor -3/2 + k*m - 3/4*m**v.
-3*(m - 2)*(m - 1)/4
Determine s so that 664*s - 5*s**2 - 272*s + 423*s - 68445 + 355*s = 0.
117
Let w(r) be the second derivative of 0 - 4/21*r**3 - 1/210*r**5 + 2*r**2 - 1/21*r**4 + 5*r. Let o(f) be the first derivative of w(f). Solve o(n) = 0.
-2
Let a(n) be the third derivative of 9*n**2 + 0*n + 0*n**4 + 0*n**3 + 1/840*n**6 + 0*n**5 + 0. Factor a(j).
j**3/7
Let r(t) be the second derivative of t**5/20 + 7*t**4/12 - 17*t**3/6 + 9*t**2/2 - 221*t. Determine h, given that r(h) = 0.
-9, 1
Find c, given that -118*c - 159*c - 4*c**2 + 313*c = 0.
0, 9
Let x = 104 - 101. Let 6045*g + 3*g**2 - 6045*g - 4 + g**x = 0. Calculate g.
-2, 1
Let q(z) = 9*z**2 - 6*z - 12. Let n(u) = 7*u**2 - 7*u - 12. Let w(l) = 3*n(l) - 2*q(l). Let w(b) = 0. Calculate b.
-1, 4
Suppose -73 = -7*l + 25. Suppose -l*o**3 + 10*o**4 - 12 - 6*o**4 + 24*o + 2*o**4 + 9*o**2 - 7*o**3 = 0. What is o?
-1, 1/2, 2
Factor -9*z - 21 + 3/4*z**2.
3*(z - 14)*(z + 2)/4
Let v(f) be the first derivative of f**6/2 + 327*f**5/5 + 2268*f**4 + 2916*f**3 - 642. Determine w so that v(w) = 0.
-54, -1, 0
Solve -41*i**2 + 32*i**3 - 11*i**3 + 33*i**2 + 54*i - 49*i**2 - 18*i**3 = 0 for i.
0, 1, 18
Suppose 19/5*w + 1 - 4/5*w**2 = 0. What is w?
-1/4, 5
Let u(k) be the first derivative of k**5/5 + k**4/2 - 4*k**3/3 - 