rst derivative of -64*c**5/15 + 14*c**4/3 + 394*c**3/9 + 23*c**2/3 - 4*c + 277. Find u such that m(u) = 0.
-2, -1/4, 1/8, 3
Let i be (-22)/(-4) + -4 - (-8 - (-835)/90). Suppose -2/9*h + 0 - i*h**2 = 0. Calculate h.
-1, 0
Suppose 45*d - 50*d - 15 = 0. Let b(p) = -p**3 + 9*p**2 - 2*p - 3. Let o(s) = 8*s**2 - 2*s - 4. Let q(h) = d*o(h) + 2*b(h). Solve q(u) = 0.
-3, -1, 1
Suppose 0 = 7*g + 53*g - 38160. Let r = g + -2543/4. Solve -r*h**2 + 1/8*h**5 - 5/8*h - 1/4 + 1/2*h**4 + 1/2*h**3 = 0 for h.
-2, -1, 1
Let x(p) be the second derivative of -p**5/150 + 62*p**4/45 - 41*p**3/15 - 4382*p. What is y in x(y) = 0?
0, 1, 123
Let d(w) be the first derivative of -w**3/9 - 134*w**2/3 - 17956*w/3 - 1060. Let d(k) = 0. What is k?
-134
Suppose 0 = 3*c - 9, -5*g + 35 = c + 4*c. Let h(x) be the first derivative of -2*x**3 - 7 - 1/2*x**g + 6*x + x**2. Factor h(p).
-2*(p - 1)*(p + 1)*(p + 3)
Let d(l) = -9*l**3 + 25*l**2 + 388*l + 289. Let h(a) = -32*a**3 + 88*a**2 + 1358*a + 1004. Let q(r) = -18*d(r) + 5*h(r). Solve q(w) = 0 for w.
-7, -1, 13
Let a = 624 + -525. Suppose -209*y**2 + a*y**2 - 35*y - 15 + 100*y**2 = 0. Calculate y.
-3, -1/2
Suppose 65 - 53 = 3*h. Suppose -3*d + h*d = 2. Find s such that -3*s**2 + 4*s**d + 0 - 2*s + 1 = 0.
1
Let t = -15918 - -15959. Let a(c) be the second derivative of 0 - t*c - 1/16*c**5 - 5/6*c**4 + 0*c**2 - 10/3*c**3. Factor a(j).
-5*j*(j + 4)**2/4
Let 31 - z**3 + 5*z**3 - 56*z**2 - 4 + 35 - 4*z - 6 = 0. Calculate z.
-1, 1, 14
Suppose 54 = -3*i - 3*i. Let f be 0/2*(-9)/i. Determine k, given that f*k + 2/9*k**4 + 2/9*k**3 + 0 + 0*k**2 = 0.
-1, 0
Let g = -81671/12 - -6806. Let x(m) be the first derivative of -g*m**4 - 2/3*m + 1/15*m**5 - 27 + 5/6*m**2 - 1/3*m**3. Factor x(z).
(z - 1)**3*(z + 2)/3
Let r(t) be the first derivative of t**7/840 + 2*t**6/45 + 8*t**5/15 + 41*t**3 + 69. Let b(p) be the third derivative of r(p). Factor b(j).
j*(j + 8)**2
Let s = 133849 - 133846. Factor 864*t + 0 + 72*t**2 + 3/2*t**s.
3*t*(t + 24)**2/2
Factor -187*q**2 + 373*q**2 + 22*q**3 - 184*q**2.
2*q**2*(11*q + 1)
Let z(t) be the second derivative of -t**4/30 - 36*t**3/5 - 107*t**2/5 + 8532*t. Factor z(v).
-2*(v + 1)*(v + 107)/5
Let r(f) be the third derivative of f**5/15 - 153*f**4/2 - 920*f**3/3 + 5*f**2 + 275*f. Determine u, given that r(u) = 0.
-1, 460
Let u(r) = 107*r + 2143. Let w be u(-20). Let h(k) be the first derivative of 0*k**3 - 2/9*k**2 - w - 2/9*k + 1/9*k**4 + 2/45*k**5. What is x in h(x) = 0?
-1, 1
Let m(h) be the second derivative of -h**4/96 + h**3/16 + 5*h**2/8 + 2140*h. Suppose m(t) = 0. Calculate t.
-2, 5
Let o(m) be the third derivative of -m**6/240 - 443*m**5/120 - 6215*m**4/6 - 12100*m**3 + m**2 + m + 701. Suppose o(l) = 0. What is l?
-220, -3
Let d(u) be the first derivative of -4*u**3/3 - 7640*u**2 - 14592400*u - 6244. Solve d(i) = 0 for i.
-1910
Let b(g) be the first derivative of 0*g**3 + 0*g**2 - 1/9*g**4 + 13*g + 1/15*g**5 - 15. Let s(c) be the first derivative of b(c). Suppose s(a) = 0. What is a?
0, 1
Let l be 1666/85 - 3/5. Let n be l + 0/(3/1). Solve 10*p + p**3 - 5 - 11*p**3 - n*p**4 + 24*p**4 = 0 for p.
-1, 1
Determine m so that 320*m + 221*m**3 - 340*m**2 - 5*m**5 + 177*m**3 + 85*m**4 - 458*m**3 = 0.
-2, 0, 1, 2, 16
Let t(h) be the first derivative of 0*h - 2/3*h**3 - 2/5*h**5 - 79 + 0*h**2 + h**4. Find v, given that t(v) = 0.
0, 1
Let t(v) be the third derivative of v**5/12 - 15*v**4/8 + 35*v**3/3 - 193*v**2 - 6. Determine f, given that t(f) = 0.
2, 7
Let q(p) be the third derivative of 5*p**8/84 - 59*p**7/42 + 313*p**6/24 - 343*p**5/6 + 280*p**4/3 + 400*p**3/3 - 2269*p**2. Determine h, given that q(h) = 0.
-1/4, 2, 4, 5
Let n be -2 + 0 + 3 - (0 - 1). Suppose -66*d - 66*d + 16*d = 0. Factor d - 4/7*l**n + 0*l + 2/7*l**3 + 2/7*l**4.
2*l**2*(l - 1)*(l + 2)/7
Suppose -3*d + 17 = 2. Let k(j) = -j**3 + 6*j**2 + 2*j - 14. Let m be k(d). What is u in 50*u**2 - 43 - 4*u**4 - 18*u**2 - m = 0?
-2, 2
Let a(u) = u**3 + 10*u**2 + 10*u + 52. Let d be a(-11). Let k = d + 182. Find p, given that 2/11*p**5 - 4/11*p**k + 0 + 0*p**2 - 2/11*p**4 + 0*p = 0.
-1, 0, 2
Let n(t) be the second derivative of 19*t + 4/21*t**3 + 0*t**2 + 0 + 1/35*t**5 - 1/7*t**4. Factor n(z).
4*z*(z - 2)*(z - 1)/7
Let b be (99/(-22))/(288/(-32)). Factor 0*z**2 + 0 + 3*z**4 - 9/2*z**3 - b*z**5 + 0*z.
-z**3*(z - 3)**2/2
Let a(x) be the third derivative of 1/195*x**6 + 2/1365*x**7 + 0*x**3 + 27*x**2 - 1/52*x**4 - 1/195*x**5 + 0*x + 0 - 1/2184*x**8. Solve a(b) = 0.
-1, 0, 1, 3
Let a(n) be the first derivative of -n**2 + 4 + 7/6*n**4 + 1/30*n**5 + 49/3*n**3 + 5*n. Let i(o) be the second derivative of a(o). Factor i(b).
2*(b + 7)**2
Determine l, given that 5881/5*l**3 + 146/5*l**4 + 0 + 40296/5*l**2 + 1/5*l**5 + 76176/5*l = 0.
-69, -4, 0
Let u(n) be the second derivative of -n**4/6 + 27*n**3 + 712*n**2 + 8*n - 80. Suppose u(l) = 0. Calculate l.
-8, 89
Let a(t) be the second derivative of t**4/60 - t**3/3 + 21*t**2/10 + 830*t. Factor a(k).
(k - 7)*(k - 3)/5
Suppose 0 = 46*k - 54*k + 24. Determine y so that -7*y**k - 43*y**2 + 12*y - 105*y**4 + y**3 - 12 + 18*y**2 + 142*y**2 - 6*y**3 = 0.
-1, -2/5, 2/7, 1
Factor -1908168 - 774*s**2 + 15*s**3 + 6*s**3 + 8348*s + 7*s**3 + 58216*s - 25*s**3.
3*(s - 86)**3
Suppose 5/6*z**3 - 5/6*z**5 + 0 + 0*z + 35/3*z**4 - 35/3*z**2 = 0. Calculate z.
-1, 0, 1, 14
Let x(g) be the first derivative of -49*g**6/10 - 399*g**5/25 - 18*g**4 - 36*g**3/5 - 5467. Factor x(h).
-3*h**2*(h + 1)*(7*h + 6)**2/5
Factor -112 + 4*u**3 - 144*u**2 - 13 + 61*u - 16 + 5 + 215*u.
4*(u - 34)*(u - 1)**2
Let a = -192016738/255 + 753008. Let d = a + -40/51. Factor 2/5*c**2 - d - 1/5*c**3 + 1/5*c.
-(c - 2)*(c - 1)*(c + 1)/5
Let h(q) = -q**2 - 102*q - 2563. Let t be h(-57). Determine v so that 5445/2 - 165*v + 5/2*v**t = 0.
33
Factor 9*r**2 + 11*r**2 - 3*r**4 - 3*r**2 + 13*r**2 + 27*r**3.
-3*r**2*(r - 10)*(r + 1)
Let w(q) be the third derivative of q**8/96 - 13*q**7/210 - 3*q**6/20 + 13*q**5/15 + 2*q**4/3 + 5455*q**2. Let w(b) = 0. Calculate b.
-2, -2/7, 0, 2, 4
Let s(w) be the second derivative of w**4/4 - 456*w**3 + 311904*w**2 + 374*w. Find c, given that s(c) = 0.
456
Let l = 371/227 + -1833/1816. Solve -l*g**4 - 61/8*g**2 - 33/8*g**3 - 15/8*g + 9/4 = 0.
-3, -1, 2/5
Let o be (1/(-3))/((-7)/(-12)) + 45225/1050. Suppose 3*n - 7*n = -12. Factor 0*g - 35/2*g**4 + 0 + 5/2*g**5 - o*g**n - 45/2*g**2.
5*g**2*(g - 9)*(g + 1)**2/2
Let u(c) = c**3 - 45*c**2 + 34*c + 88. Let p(f) = f**3 - f**2 + 6*f. Let j(l) = -p(l) - u(l). Factor j(v).
-2*(v - 22)*(v - 2)*(v + 1)
Solve -46875/8*r**2 - 375*r - 6 = 0.
-4/125
Let x = 15691/3 + -5230. Let z(c) be the first derivative of -2/3*c**2 - 16/9*c + 16/27*c**3 + x*c**4 + 7. Determine u, given that z(u) = 0.
-4/3, -1, 1
Let m(n) be the third derivative of -n**8/5600 - n**7/700 + n**6/150 - n**4/6 + n**3/6 + 3*n**2 + 13. Let q(r) be the second derivative of m(r). Factor q(t).
-6*t*(t - 1)*(t + 4)/5
Let g be (-5)/(175/40)*477/12. Let x = -44 - g. Find i such that -2/7*i**3 + 0 - 8/7*i + x*i**2 = 0.
0, 1, 4
Let r = -34402 + 34404. Let f be -3*(9/(-12))/1. Let 6*m**4 - 27/2*m**3 - f*m + 0 + 39/4*m**r = 0. What is m?
0, 1/2, 3/4, 1
Suppose 2 - 1 = -m. Let d(v) = v + 4. Let c be d(m). What is o in 0*o**2 - 5*o**c - 2*o - 5*o**2 + 2*o**3 + 0*o = 0?
-1, -2/3, 0
Let k(r) be the first derivative of r**6/600 - 39*r**5/100 + 1521*r**4/40 + 70*r**3/3 - r**2 - 100. Let y(z) be the third derivative of k(z). Factor y(g).
3*(g - 39)**2/5
Let g(o) be the first derivative of o**4/18 - 2*o**3/27 - 10*o**2/3 + 1681. Determine d so that g(d) = 0.
-5, 0, 6
Let s(b) be the first derivative of 40/3*b**3 + 11/4*b**4 - 1/6*b**6 - 11 + 22*b**2 + 16*b - 2/5*b**5. Suppose s(l) = 0. Calculate l.
-2, -1, 4
Solve -4*f**5 + 12*f**4 + 72 + 0*f**4 + 8*f**4 + 272*f**3 + 104*f**2 - 256 - 268*f + 60*f**4 = 0.
-2, -1, 1, 23
Let c(x) be the second derivative of -x**5/10 - 42*x**4 - 83*x**3 + 502*x**2 - x - 3281. Factor c(v).
-2*(v - 1)*(v + 2)*(v + 251)
Let q(u) = -7*u**3 - 2*u**2 + 2*u + 1. Let k(t) = 24*t**3 - 15*t**2 - 30*t - 3. Let p(h) = k(h) + 3*q(h). Factor p(a).
3*a*(a - 8)*(a + 1)
Let z be ((-292)/1314)/(20/(-54)). Suppose -z*b**3 - 54/5 + 9*b + 12/5*b**2 = 0. Calculate b.
-3, 1, 6
Let f = -10573 + 380629/36. Let t(n) be the second derivative of 3/2*n**2 + 4*n + 1/