rd derivative of d**5/140 - 2*d**4/7 + d**2 - 51. Solve p(z) = 0 for z.
0, 16
Let z(w) be the first derivative of w**9/1260 + 3*w**8/2800 - w**7/1400 + w**3/3 - 13. Let k(q) be the third derivative of z(q). Let k(y) = 0. What is y?
-1, 0, 1/4
Factor -8*o + 23/3 + 1/3*o**2.
(o - 23)*(o - 1)/3
Determine n, given that 1/3*n**4 + 2*n**3 + 4*n + 13/3*n**2 + 4/3 = 0.
-2, -1
Let a(c) = -2*c**3 + 4*c**2 - 6*c. Let x(l) = -3 - 22*l + 3 + 23*l. Let b(r) = a(r) + 6*x(r). What is n in b(n) = 0?
0, 2
Suppose 16*m = 10*m + 12. Let c(t) be the first derivative of 5 + 4/3*t - 1/3*t**m - 2/9*t**3. Factor c(z).
-2*(z - 1)*(z + 2)/3
Factor -1/8*v - 1/8*v**4 + 1/8*v**2 + 1/8*v**3 + 0.
-v*(v - 1)**2*(v + 1)/8
Suppose -16*a - 21 + 54 = -31. Suppose 3/2*v**a + 0*v - 3/2*v**3 + 1/2*v**2 + 0 - 1/2*v**5 = 0. What is v?
0, 1
Let z = -17470 + 17473. Let 1/7*p**5 + 0 + 0*p + 0*p**2 + 0*p**z + 1/7*p**4 = 0. What is p?
-1, 0
Let t be (-2126)/(-12756)*(0 - (1 - 466)). Solve -25 - t*r + 34*r**2 - 7/2*r**3 = 0 for r.
-2/7, 5
Let l(c) be the second derivative of -6615*c**4/8 + 105*c**3 - 5*c**2 + 54*c. Determine i so that l(i) = 0.
2/63
Let p(a) = 98*a - 780. Let z be p(8). Suppose u + 5*s = 18, -4*u = 5*s - 23 - 4. Let 1/3*t**u - 1/3*t + 0*t**2 + 1/6 - 1/6*t**z = 0. Calculate t.
-1, 1
What is r in 22/3*r**3 - 22/3*r - 1/3*r**4 + 7 - 20/3*r**2 = 0?
-1, 1, 21
Let z(n) be the third derivative of -1/390*n**5 + 0*n + 1/156*n**4 + 2/39*n**3 + 0 - 40*n**2. Factor z(l).
-2*(l - 2)*(l + 1)/13
Solve 11/2*l - 1/4*l**3 + 4 + 5/4*l**2 = 0.
-2, -1, 8
Factor 1001*k - 35*k - 71*k - 544*k**2 + 104*k**2 - 5*k**3 - 450.
-5*(k - 1)**2*(k + 90)
Let y = -178 + -15. Let r = y + 2513/13. Factor -14/13*g + 44/13*g**2 - r.
2*(2*g - 1)*(11*g + 2)/13
Let c = -22529/5 + 4506. Let -1/5*y**2 + c*y**3 + 0 - 2/5*y = 0. Calculate y.
-1, 0, 2
Let h(y) = y**3 + 17*y**2 + 29*y + 31. Let f(x) be the first derivative of -x**3/3 + x**2/2 - x + 20. Let w(z) = -30*f(z) - 5*h(z). Factor w(u).
-5*(u + 1)*(u + 5)**2
Let u = -22 + 28. Let k = u + -4. Find a, given that 4*a**3 + 0*a**2 - 2*a + 2*a + 4*a**k = 0.
-1, 0
Suppose -36*f**2 - 23*f**3 - 23*f**3 + 80*f + 3080*f**5 - 3078*f**5 = 0. What is f?
-4, -2, 0, 1, 5
Factor 1/2*t**3 + 0 + 1/4*t**4 - 3/4*t**2 + 0*t.
t**2*(t - 1)*(t + 3)/4
Factor 6*t + 26*t**2 - 31*t**2 + 14*t.
-5*t*(t - 4)
Suppose 0 = 41*i - 42*i. Factor -1 + i - 18*u**2 + 2 - 9 + 6*u**4 + 4*u**3 - 24*u.
2*(u - 2)*(u + 1)**2*(3*u + 2)
Let c(n) = -15*n**3 + 35*n**2 + 35*n - 15. Let u(w) = 21*w + 53*w**2 + 24*w - w - 22 + 9*w - 22*w**3. Let f(y) = -8*c(y) + 5*u(y). Solve f(b) = 0 for b.
-1, 1/2, 2
Let p = 166 - 1158/7. Let u(b) be the first derivative of -p*b**2 - 10 + 4/21*b**3 + 0*b + 1/7*b**4. Factor u(i).
4*i*(i - 1)*(i + 2)/7
Determine b, given that 1/2*b**2 + 1/4*b**5 + 2*b**3 - 3/2*b**4 - 9/4*b + 1 = 0.
-1, 1, 4
Let g(w) be the third derivative of -5*w**8/168 - 17*w**7/105 - w**6/60 + 17*w**5/30 + w**4/2 - 112*w**2 + 1. Let g(b) = 0. Calculate b.
-3, -1, -2/5, 0, 1
Let m(w) be the first derivative of -4*w**5/5 - 5*w**4 + 90. Find x such that m(x) = 0.
-5, 0
Determine z, given that 220*z**2 - 35*z**5 + 214*z**4 - 330*z**3 - 5*z - 29*z**4 - 35*z = 0.
0, 2/7, 1, 2
Let s(y) be the first derivative of 2/5*y**4 + 8 + 0*y - 2/25*y**5 + 8/15*y**3 + 0*y**2 - 1/15*y**6. Let s(x) = 0. Calculate x.
-2, -1, 0, 2
Let p(f) be the second derivative of f**5/390 + f**4/78 - f**3/13 + 8*f**2 - f. Let t(c) be the first derivative of p(c). Determine y, given that t(y) = 0.
-3, 1
Let o = -87 + 92. Suppose -o*y = -3*i + 1, -2*i + 0*i = -5*y + 1. Factor 2/9*m**i + 4/9 - 2/3*m.
2*(m - 2)*(m - 1)/9
Solve -11*f**2 + 14*f - 5*f**2 - 6 - 2*f**3 + 16*f**2 + 18 = 0 for f.
-2, -1, 3
Let h(l) be the first derivative of 3/2*l**2 + 0*l**3 - 1/60*l**5 - 6 + 1/24*l**4 + 0*l. Let d(q) be the second derivative of h(q). Factor d(z).
-z*(z - 1)
Let l(k) = -4*k**5 - 8*k**4 + 8*k**3 + 48*k**2 + 44*k + 16. Let z(p) = p**4 + p**3 + p**2 - p. Let h(x) = -l(x) + 4*z(x). Suppose h(j) = 0. What is j?
-2, -1, 2
Let v(c) be the first derivative of 2*c**3/27 - 8*c**2 + 152. What is z in v(z) = 0?
0, 72
Let b(r) = -2*r**3 + 10*r**2 + 14*r + 8. Let h(l) = -12*l**3 + 58*l**2 + 84*l + 48. Let v(s) = 34*b(s) - 6*h(s). Factor v(p).
4*(p - 4)*(p + 1)**2
Determine j, given that 0 - 2/17*j**4 - 38/17*j**3 + 38/17*j + 2/17*j**2 = 0.
-19, -1, 0, 1
Factor -208/3*o - 64/3 - 115/3*o**3 - 1/3*o**5 - 19/3*o**4 - 241/3*o**2.
-(o + 1)**3*(o + 8)**2/3
Let s(r) = 6*r + 35. Let q be s(-24). Let p = -107 - q. What is y in 8/3*y + 2/3 + 2*y**p = 0?
-1, -1/3
Let q = 55975/3 + -18637. Factor -28/3*j**4 + 0 + q*j**3 - 44/3*j**2 + 8/3*j.
-4*j*(j - 1)**2*(7*j - 2)/3
Suppose -1676*f + 1671*f - 10 = -2*v, 2*f = 4*v - 20. Factor -6/7*o - 27/7*o**3 + f - 3*o**2 - 3/7*o**5 - 15/7*o**4.
-3*o*(o + 1)**3*(o + 2)/7
Let n(u) be the first derivative of u**9/3024 - u**7/420 + u**5/120 - 14*u**3/3 + 21. Let x(v) be the third derivative of n(v). Suppose x(d) = 0. Calculate d.
-1, 0, 1
Determine v so that 2*v**2 - 7*v**2 - 61 + 50*v + 20 - 79 = 0.
4, 6
Let c(i) be the first derivative of -i**6/165 - i**5/110 + 9*i - 6. Let v(l) be the first derivative of c(l). Determine f so that v(f) = 0.
-1, 0
Let w(y) = -5*y - 77. Let l be w(-17). Determine r so that 8*r**4 - l*r**2 + r**3 + 10*r**3 - 4*r**5 + 6*r**3 - 13*r**3 = 0.
-1, 0, 1, 2
Let w(t) be the third derivative of t**4/4 + t**3 - 5*t**2 - 6*t. Let g be w(-1). Find d, given that 0 + g*d - 6/13*d**4 - 8/13*d**3 - 2/13*d**2 = 0.
-1, -1/3, 0
Let z(k) be the first derivative of 2/3*k - 18 - 4/3*k**2 + 8/9*k**3. Factor z(q).
2*(2*q - 1)**2/3
Let v = -58 - -62. Let l(y) be the second derivative of 0*y**2 + 0 + 7/80*y**5 + 3/16*y**4 - v*y + 1/12*y**3. Let l(z) = 0. Calculate z.
-1, -2/7, 0
Suppose 0*b - 18 = -6*b. Suppose 21*i**2 + 15*i - 48 + 3*i + 6*i + 59*i**b - 56*i**3 = 0. Calculate i.
-4, 1
Let w(a) be the second derivative of -2*a**6/15 - 37*a**5/10 - 23*a**4 + 340*a**3/3 + 200*a**2 + 3*a - 49. Determine c, given that w(c) = 0.
-10, -1/2, 2
Let n(b) be the third derivative of -b**6/220 + 7*b**5/165 - 2*b**4/33 - 2*b**2 + 4. Factor n(k).
-2*k*(k - 4)*(3*k - 2)/11
Let u(l) be the first derivative of 5*l**9/3024 + l**8/168 + l**7/168 + 2*l**3/3 + 6. Let m(x) be the third derivative of u(x). Find v, given that m(v) = 0.
-1, 0
Let m(t) be the third derivative of t**6/300 - 17*t**5/75 + 23*t**4/4 - 60*t**3 + 274*t**2. Find z such that m(z) = 0.
4, 15
Let t(l) be the third derivative of l**4/24 + l**2. Let y = 56 - 60. Let h(g) = 2*g**2 + 8*g. Let q(n) = y*t(n) + h(n). Find p such that q(p) = 0.
-2, 0
Let v(g) = 2*g**3 - 3*g**2 + 4*g - 3. Let w be v(2). Determine a, given that -3*a**4 + a**4 + w*a**3 + 3*a**5 - 3*a**2 - 7*a**4 = 0.
0, 1
Let -4/9*t + 5/9*t**2 + 0 = 0. What is t?
0, 4/5
Let b = -618 + 618. Factor -2/3*z + 1/3*z**3 + 1/3*z**2 + b.
z*(z - 1)*(z + 2)/3
Let g(f) be the second derivative of -7*f + 1/20*f**5 + 1/30*f**6 - f**2 - 5/6*f**3 - 1/4*f**4 + 0. Suppose g(q) = 0. What is q?
-1, 2
Factor 864 - 864 + 2*k + k**3 + 3*k**2.
k*(k + 1)*(k + 2)
Let h be (88/(-6) + (-30)/(-45))/(-17). Factor 0*a + 10/17*a**4 + 0 + 2/17*a**5 + h*a**3 + 6/17*a**2.
2*a**2*(a + 1)**2*(a + 3)/17
Let s = -6447177/98 + 65789. Let x = s - -1/49. Determine v so that -1/4*v**3 - 3*v + 2 + x*v**2 = 0.
2
Suppose b + 44 = 3*m, 0*m - 4*m + 56 = -2*b. Let f = -13 + m. Solve 2*l**2 - l + f + 3*l - 3*l - 4 = 0.
-1/2, 1
Suppose -4 = j + 4*n, -2*n - 2 = -0*n. Let i(q) = 5*q + 3. Let p be i(j). Find z, given that -4*z - 13/3*z**2 - 1/3*z**4 - 4/3 - 2*z**p = 0.
-2, -1
Let u be (-6 - (1 + -2))/(-10 + 9). Let t(d) be the first derivative of 1 - 3/2*d**4 - 1/4*d - 9/20*d**u - 11/6*d**3 - d**2. Determine i, given that t(i) = 0.
-1, -1/3
Factor 0 + 96/5*m - 44/5*m**2 + 4/5*m**3.
4*m*(m - 8)*(m - 3)/5
Let d = -11 - -2. Let r(x) = -x**4 - 4*x**3 + x**2 - 4*x. Let f(k) = 3*k**4 + 9*k**3 - 3*k**2 + 9*k. Let p(g) = d*r(g) - 4*f(g). Find q such that p(q) = 0.
-1, 0, 1
Let i = 114 + -122. Let p be i/(-32) + 5/(-36). Factor p*u**4 + 0*u**2 - 2/9*u**3 - 1/9 + 2/9*u.
(u - 1)**3*(u + 1)/9
Suppose 19*x**4 - 360 - 420*x + 46*x**4 - 130*x**2 + 5*x**3 - 60*x**4 = 0. Calculate x.
-3, -2, 6
Let m(d) be the third derivative of -1/540*d**6 + 0*d - 1/270*d**5 + 0*d**3 + 36*d**2 + 0 + 1/945*d**7 + 1/108*