. Let m(s) be the first derivative of -27/5*s - 7/5*s**3 - y - 3/20*s**4 - 9/2*s**2. Factor m(i).
-3*(i + 1)*(i + 3)**2/5
Let w(o) = -261*o**3 - 516*o**2 - 56*o + 14. Let z(d) = -264*d**3 - 515*d**2 - 56*d + 16. Let t(x) = 6*w(x) - 5*z(x). Suppose t(v) = 0. Calculate v.
-2, -1/6, 2/41
Let m(j) be the second derivative of 0*j**3 + 0*j**2 - 4/5*j**5 - 44/105*j**6 + 0 - 10/147*j**7 - 8/21*j**4 + 16*j. Suppose m(c) = 0. What is c?
-2, -2/5, 0
Let y(s) = -2*s**2 - 13*s + 6. Let w(q) = -q - 1. Let a(x) = 14*x**2 + 91*x - 45. Let v(f) = -a(f) + w(f). Let u(h) = 6*v(h) - 44*y(h). Factor u(o).
4*o*(o + 5)
Suppose -187 = -76*f - 42*f + 49. Let u(g) be the first derivative of -1/3*g**f + 5/9*g**3 + 0*g + 4. Let u(m) = 0. Calculate m.
0, 2/5
Let o(y) be the first derivative of y**8/504 + 2*y**7/63 - 2*y**6/15 - 201*y**2/2 - 24. Let n(v) be the second derivative of o(v). Find u, given that n(u) = 0.
-12, 0, 2
Determine c, given that 5*c**5 + 330 + 41*c - 376416*c**2 - 90*c**3 - 21*c + 65*c + 50*c**4 + 376036*c**2 = 0.
-11, -2, -1, 1, 3
Suppose 107*z + 78*z + 69*z + 45*z**2 - 104*z + 3*z**3 = 0. Calculate z.
-10, -5, 0
Let h(c) be the second derivative of 6 + 20*c**2 - 11*c + 35/3*c**3 + 5/4*c**4. Solve h(v) = 0 for v.
-4, -2/3
Let m = -428 + 733. Suppose -307*o = -m*o - 4. Factor -2/9 + 1/3*x - 1/9*x**3 + 0*x**o.
-(x - 1)**2*(x + 2)/9
Suppose -2 = -2*u + 4 + 6. Suppose -2*s + 0*s + 390 = 0. Suppose -u*c**3 + 168*c**2 + 3*c**3 - s*c**2 - 24*c = 0. Calculate c.
-8, -1, 0
Let n(r) be the first derivative of r**5/160 - r**4/16 + 11*r**3/48 - 3*r**2/8 - 102*r + 88. Let c(u) be the first derivative of n(u). Factor c(m).
(m - 3)*(m - 2)*(m - 1)/8
Let y(x) be the first derivative of 3/8*x**4 + 23/2*x**3 + 221 - 3/4*x**2 - 69/2*x. Factor y(r).
3*(r - 1)*(r + 1)*(r + 23)/2
Let s be (2/2 - 0)*0. Suppose -5*w = -3*z - 2*w, s = 3*z + 4*w - 28. Factor -z*c**3 + 3*c**4 + 25*c**2 - 2*c**4 + 5*c**3 - 31*c**2.
c**2*(c - 2)*(c + 3)
Suppose -w + 1712 = j, -4*j - 3*w + 6*w = -6883. Let y = j - 3287/2. Factor 105*d**3 - 30*d + 6 + y*d**4 - 9/2*d**2.
3*(d + 1)**2*(7*d - 2)**2/2
What is i in -1808*i + 1045434 - i**2 - 574*i - 2463915 = 0?
-1191
Find a, given that -503/11*a**3 + 167/11*a - 338/11 - 3/11*a**4 + 677/11*a**2 = 0.
-169, -2/3, 1
Let g(u) be the third derivative of u**5/300 - 119*u**4/20 + 42483*u**3/10 + 2738*u**2 + 1. Factor g(y).
(y - 357)**2/5
Let g(s) be the second derivative of s**5/2 + 376*s**4/9 + 100*s**3/9 - 13214*s. Factor g(y).
2*y*(y + 50)*(15*y + 2)/3
Let h = 14709 - 14706. Suppose 4*k - 3 = -5*z - 15, -z = k + 2. Suppose 15 + 499*d - 464*d + 14*d**2 + 11*d**k + 5*d**h = 0. What is d?
-3, -1
Let x = -249/14 - -52525/2954. Let r = 433/2321 + x. Factor -4/11*b + 0 - r*b**3 - 6/11*b**2.
-2*b*(b + 1)*(b + 2)/11
Let -11*x**5 - 170*x**4 - 866 + 16*x**5 - 770*x**3 + 320*x**2 - 844 + 2325*x = 0. Calculate x.
-3, 1, 38
Let g(t) be the third derivative of t**8/2240 - t**7/210 - t**6/20 + 4*t**4/3 + t**3/3 - 20*t**2. Let s(z) be the second derivative of g(z). Factor s(x).
3*x*(x - 6)*(x + 2)
Let c(o) = 5*o**2 + 35*o - 143. Let k(m) = -2*m**2 - 18*m + 71. Let f(x) = 3*c(x) + 7*k(x). Find h, given that f(h) = 0.
4, 17
Let r be -1 - (-1100)/240 - (-10)/(-8). Factor 5/3*d + 25 - r*d**2 - 1/3*d**3.
-(d - 3)*(d + 5)**2/3
Let x(b) be the third derivative of 3/2*b**3 + 82*b**2 + 0*b + 3/16*b**4 - 1/1260*b**7 - 7/720*b**6 + 0 - 1/40*b**5. Find z, given that x(z) = 0.
-3, 2
Factor -11*v**3 - 13*v**3 + 815*v - 168*v**3 + 20 - 8*v**3 + 277*v**2 + 318*v**2.
-5*(v - 4)*(v + 1)*(40*v + 1)
Let a(z) be the second derivative of 0*z**2 - 11*z + 1/12*z**4 - 10/3*z**3 + 0. Determine u so that a(u) = 0.
0, 20
Let d = -727502 - -96759487/133. Let n = -159/19 + d. What is y in n*y**3 + 0*y - 64/7*y**2 + 0 - 4/7*y**4 = 0?
0, 4
Suppose -2738*m + 2768*m = 60. Let v(p) be the third derivative of 1/720*p**5 + 0*p + 3*p**m - 7/72*p**4 + 49/18*p**3 + 17. Find f such that v(f) = 0.
14
Suppose -2*r = 3*r + 400. Let g = r - -84. Factor -g*l**2 + 3*l**5 + 8*l**4 + 6*l**5 - 7*l**5 - 2*l**3 - 4*l**4.
2*l**2*(l - 1)*(l + 1)*(l + 2)
Determine k, given that -626/7*k**3 - 2/7*k**2 + 49296/7*k - 48672/7 + 2/7*k**5 + 2/7*k**4 = 0.
-13, 1, 12
Let l(c) be the second derivative of 8/9*c**3 - 32/3*c**2 - 38*c - 2 - 1/36*c**4. Find j such that l(j) = 0.
8
Let b(g) be the third derivative of -g**5/140 + 23*g**4/2 - 7406*g**3 - 880*g**2. What is h in b(h) = 0?
322
Let j(m) be the third derivative of 4/9*m**3 - 56*m**2 + 0*m + 0 - 4/45*m**5 + 31/36*m**4. Let j(r) = 0. Calculate r.
-1/8, 4
Factor -2/3*z**2 + 68 - 62/3*z.
-2*(z - 3)*(z + 34)/3
Let n(j) = -j**2 + 37*j + 3. Let m be n(37). Let y be (-5)/15 - (m + 57/(-9)). Factor 0*x**y - 2/9*x**4 + 0 + 2/9*x**5 + 0*x + 0*x**2.
2*x**4*(x - 1)/9
Let v(l) be the second derivative of 5/64*l**4 + 3/2*l**2 + 3/8*l**3 + 4*l + 1/160*l**5 + 0. Let u(h) be the first derivative of v(h). Factor u(m).
3*(m + 2)*(m + 3)/8
Let o(z) be the third derivative of -z**6/60 + 61*z**5/60 - 11*z**4/3 + 29*z**3/6 + 77*z**2 - 7. Factor o(s).
-(s - 29)*(s - 1)*(2*s - 1)
Let b(o) be the first derivative of -o**6/30 + 71*o**5/25 - 84*o**4/5 + 392*o**3/15 + 136*o**2/5 - 528*o/5 - 287. Factor b(r).
-(r - 66)*(r - 2)**3*(r + 1)/5
Let z(n) be the third derivative of n**5/40 + 17*n**4/8 - 3*n**2 - 268. Let z(a) = 0. Calculate a.
-34, 0
Let r(s) = 135*s**2 - 19*s - 11. Let b be r(4). Let w = b + -2073. Determine c, given that 2/5*c**2 + 1/5*c**3 + w + 1/5*c = 0.
-1, 0
Let h be 1341/15 + (18/(-5))/(-6). Let y = -9 + h. Determine n so that 43*n + 34*n - y*n - 64*n**3 - 32*n**2 = 0.
-1/4, 0
Suppose -573*l + 553*l + 100 = 0. Let v(k) be the first derivative of 0*k**2 + 2 - 1/24*k**6 + 0*k + 0*k**l - 1/6*k**3 + 3/16*k**4. Factor v(q).
-q**2*(q - 1)**2*(q + 2)/4
Let w(l) = 4*l**3 - 4*l**2 - 9*l + 4. Let v(p) = 2*p**3 - 2*p**2 - 4*p + 2. Let d(c) = -6*c + 31. Let h be d(6). Let t(s) = h*v(s) + 2*w(s). Solve t(z) = 0.
-1, 1
Let l(b) be the second derivative of -b**4/30 - 91*b**3/15 - 178*b**2/5 - 3*b + 134. Factor l(a).
-2*(a + 2)*(a + 89)/5
Let w be (-1 - 0)/((-21)/546). Suppose 3*a - w = -14. Factor 0 - 1/2*z**a + 3/2*z**3 + 1/2*z - 3/2*z**2.
-z*(z - 1)**3/2
Suppose -10*r + 5*r + 4*k = 50, k + 20 = -2*r. Let g be 12/r*((-45)/3)/3. Solve 771 + g*h + 3*h**2 - 3*h**3 - 771 = 0.
-1, 0, 2
Suppose -7*m - 5*m = 912. Let j = -74 - m. Factor -j*u**4 + 2*u**3 - u**5 + 0*u**2 + 3*u**5 + 4*u - 8*u**3 + 2*u**2.
2*u*(u - 2)*(u - 1)*(u + 1)**2
Let q = 16514 + -16514. Let a(n) be the second derivative of 0 + 0*n**2 + 10*n - 1/10*n**5 + q*n**4 + 0*n**3. Factor a(b).
-2*b**3
Let y(w) be the first derivative of 2*w**3/33 + 199*w**2/11 + 1137. Factor y(f).
2*f*(f + 199)/11
Let y(d) be the third derivative of d**5/210 - 23*d**4/42 - 104*d**3/7 + d**2 + 48*d. Determine z, given that y(z) = 0.
-6, 52
Let g be 0 - (-3 - 0) - (-1 + 1). Let 9*l**2 - 187*l**g + 189*l**3 - 2*l - 8 + 26*l**4 - 27*l**4 = 0. What is l?
-2, -1, 1, 4
Suppose 5*c + 14 = f, -3*f + c + 16 = -c. Let y(o) be the third derivative of 1/30*o**6 + 1/15*o**5 + 0*o**3 + 19*o**2 + 0 + 0*o + 0*o**f. Solve y(m) = 0 for m.
-1, 0
Let j(d) = -150*d**3 - 65*d**2 + 22*d. Let l(b) = 35*b**3 + b**2 + b. Let o(x) = -j(x) - 4*l(x). Factor o(n).
n*(2*n + 13)*(5*n - 2)
Find o such that -7396/5*o**4 - 4/5 - 684/5*o - 28897/5*o**2 + 29412/5*o**3 = 0.
-1/86, 2
Let -9599 - 528*b**2 + 58*b**3 + 1440*b + 9599 - 2*b**4 = 0. What is b?
0, 5, 12
Let i = 291/2048 + 13463/6144. Let -11/6*x**3 + 7/12*x**4 - i*x**2 - 2/3*x + 1/2*x**5 + 0 = 0. What is x?
-2, -2/3, -1/2, 0, 2
Let q be 1/((-33)/(-55)*(-30)/(-36)). Let f(p) be the first derivative of -11*p**3 - 5 - 27/2*p + 18*p**q + 3*p**4 - 3/10*p**5. Find c, given that f(c) = 0.
1, 3
Let c(z) be the first derivative of 3*z**4/4 + 635*z**3 + 303369*z**2/2 + 301467*z - 1274. Find x, given that c(x) = 0.
-317, -1
Suppose 252 = -36*z + 57*z + 63*z. Let c(n) be the first derivative of -3/10*n + 22 - 1/5*n**2 - 1/30*n**z. Determine y, given that c(y) = 0.
-3, -1
Let b(n) be the third derivative of 5*n**8/2016 + 4*n**7/105 + 2*n**6/9 + 26*n**5/45 + n**4/3 - 16*n**3/9 - 3*n**2 + 608*n. Factor b(v).
(v + 2)**3*(v + 4)*(5*v - 2)/6
Let p(y) be the first derivative of 2*y**6 - 76*y**5 + 152*y**4 - 80*y**3 - 2518. Solve p(o) = 0 for o.
0, 2/3, 1, 30
Let n