 be the first derivative of 47/3*r**3 - 6/5*r**5 + 12*r - 7/4*r**4 + 40*r**2 + 203. Factor h(d).
-(d - 3)*(d + 2)**2*(6*d + 1)
Let l be (-135)/729*7434/(-295). Solve -l*v**3 + 176/3*v - 40/3 - 122/3*v**2 = 0 for v.
-10, 2/7, 1
Let y be (14 + 178/(-12))/(1/(-2)). Let n(o) be the second derivative of 7*o + y*o**4 + 0*o**2 + 0 - 2/5*o**5 - 4/3*o**3. Find s such that n(s) = 0.
0, 1/2, 2
Suppose -29*f = -58 - 0. Let m(n) be the second derivative of 0 + 0*n**3 + 4/75*n**6 + 0*n**f + 1/30*n**4 - 8*n - 2/25*n**5. Factor m(p).
2*p**2*(2*p - 1)**2/5
Let g(s) be the second derivative of -s**7/210 - s**6/30 - s**5/50 + 2*s**4/15 - 812*s. Find p, given that g(p) = 0.
-4, -2, 0, 1
Let i(f) be the third derivative of -f**7/20160 + f**6/960 - 3*f**5/320 - f**4/3 + f**3/3 + 56*f**2. Let z(p) be the second derivative of i(p). Factor z(h).
-(h - 3)**2/8
Let u(l) = -2*l**3 - 30*l**2 + 33*l + 21. Let s be u(-16). Factor 15*k + 12370 - 12290 + 21*k**2 + 119*k**2 + s*k**4 + 165*k + 45*k**3.
5*(k + 1)*(k + 2)**2*(k + 4)
Let n = 131033/10 - 13103. Find t, given that t - t**3 + n*t**4 - 11/10*t**2 + 4/5 = 0.
-1, -2/3, 1, 4
Let g be (-1965)/1750 + (-32)/(-28). Let u(r) be the second derivative of 0 + 0*r**3 - r - g*r**5 - 1/6*r**4 + 0*r**2. Find w, given that u(w) = 0.
-5, 0
Let p(c) be the third derivative of -c**7/420 + 43*c**6/1200 - 11*c**5/300 - c**4/15 + 5758*c**2. Solve p(s) = 0 for s.
-2/5, 0, 1, 8
Let j be (-2 - 16/(-4))/1. Suppose 134*h = 41*h - 163*h. Solve 3/2*x**j + h + 3*x = 0 for x.
-2, 0
Find m, given that 0 - 12*m**2 - 4/7*m**5 + 0*m - 202/7*m**3 - 10*m**4 = 0.
-14, -3, -1/2, 0
Factor -8/3*u**2 + 0 + 2*u + 2/3*u**3.
2*u*(u - 3)*(u - 1)/3
Suppose -4*a - 5*q + 7 = 0, 2 = -0*a + 2*a + 2*q. Let d be (28/45 - 0) + a/5. Determine c so that -d*c**3 - 2/3 + 10/9*c - 2/9*c**2 = 0.
-3, 1
Let f(q) be the first derivative of -q**6/1260 + q**5/42 - q**4/4 + 5*q**3/3 - q + 5. Let p(a) be the third derivative of f(a). Factor p(n).
-2*(n - 7)*(n - 3)/7
Let 30/7 - 3*k + 3/7*k**3 - 12/7*k**2 = 0. Calculate k.
-2, 1, 5
Let x(i) = -4*i**2 - 296*i - 5465. Let t(f) = 28*f + 1366 + 70*f - 24*f + f**2. Let k(s) = -22*t(s) - 6*x(s). Factor k(c).
2*(c + 37)**2
Let i be (-21268)/(-208) + -47 + -55. What is a in -i*a**4 + 0*a**2 + 1/4 - 1/2*a + 1/2*a**3 = 0?
-1, 1
Let q(z) be the third derivative of z**5/75 + z**4/4 + 7*z**3/15 + 354*z**2. Find k, given that q(k) = 0.
-7, -1/2
Let b(h) = h**2 + 9*h + 4. Let u be b(-9). Let y = u - 1. Determine n, given that -2*n**2 + 2*n**4 - 4*n - 8 + 3*n**5 + 23*n - n**5 - 10*n**3 - y*n = 0.
-2, 1
Let u(p) be the third derivative of 0*p**3 - 1/2016*p**8 + 0*p + 2/315*p**7 - 8*p**2 + 0*p**4 + 0*p**5 - 1/48*p**6 - 10. Factor u(q).
-q**3*(q - 5)*(q - 3)/6
Let u(d) be the first derivative of 5*d**3/3 - 51*d**2/2 + 82*d + 41. Let v(t) = 5*t**2 - 50*t + 85. Let z(x) = 5*u(x) - 6*v(x). Let z(w) = 0. Calculate w.
4, 5
Determine s, given that -190*s**2 + 960*s**2 + 425*s**3 - 1285*s**5 - 160*s + 1290*s**5 - 1120 + 80*s**4 = 0.
-7, -4, -2, 1
Let h = -60 + 61. Suppose 3 - h = k. Factor -61*n**2 - 6*n + 31*n**2 + 9*n**3 + k*n + 8 + 27*n**4.
(n + 1)*(3*n - 2)**2*(3*n + 2)
Let a = 473188021/600 - 788647. Let s = 7/200 - a. Determine y so that 0*y + 14/3*y**3 + 49/3*y**2 + 0 + s*y**4 = 0.
-7, 0
Let b(v) = 6*v**3 + 208*v**2 - 2494*v - 5822. Let g(c) = -2*c**3 - 104*c**2 + 1246*c + 2912. Let j(w) = 2*b(w) + 5*g(w). Suppose j(o) = 0. What is o?
-2, 27
Suppose -c - 6 = 3*u, 98 = -3*u - 4*c + 56. Factor 392/19 - 56/19*v + 2/19*v**u.
2*(v - 14)**2/19
Let q(b) be the second derivative of 0 - 1/15*b**5 + 0*b**3 + 8*b - 5/2*b**2 + 1/6*b**4. Let d(g) be the first derivative of q(g). Factor d(u).
-4*u*(u - 1)
Suppose 0 + 4/7*v**2 + 424/7*v = 0. Calculate v.
-106, 0
Suppose 0 = 3*r + 4*z + 59 - 39, 0 = 5*r + z + 22. Let l be r*(-4)/((-64)/(-8)). Find g such that 2*g**l + 0 + 3*g**3 + 1/3*g = 0.
-1/3, 0
Let h(c) be the first derivative of -3*c**2 + 68 + 4*c**3 + 7*c**2 - c**2 + c**4 + 3*c**2 + 4*c. Determine n, given that h(n) = 0.
-1
Let p be 9924/18194 - (-2 + 1545/(-132)). What is o in -9/2*o**2 - 6*o**4 + 0 - p*o**3 + 0*o + 15/4*o**5 = 0?
-1, -2/5, 0, 3
Let b(g) = 9*g**2 - 27*g + 725. Let s(f) = -11*f**2 + 39*f - 726. Let v(w) = 6*b(w) + 5*s(w). Factor v(i).
-(i - 48)*(i + 15)
Solve -2160*t**2 + 450*t - 224 + 4193*t**2 + t**4 - 2260*t**2 = 0 for t.
-16, 1, 14
Let k be 146/(-308) + (-1)/(-2) - (-1704)/3124. Solve -12/7 + k*l + 1/7*l**2 = 0.
-6, 2
Let h(m) be the second derivative of -2*m**6/45 + 7*m**5/4 + 161*m**4/18 - 29*m**3/6 - 736*m. Suppose h(k) = 0. Calculate k.
-3, 0, 1/4, 29
Factor 479/3*b**2 - 2/3 - 159*b.
(b - 1)*(479*b + 2)/3
Let j(a) be the third derivative of -1/270*a**5 - 40*a**2 + 0*a**3 + 0 + 0*a - 2/27*a**4. Let j(i) = 0. What is i?
-8, 0
Let i(k) be the first derivative of 10*k**4 - 4/5*k**5 - 32*k**3 - 142 - 20*k**2 + 100*k. Factor i(a).
-4*(a - 5)**2*(a - 1)*(a + 1)
Determine z so that -3/7*z**3 - 266400/7*z + 540000/7 - 1794/7*z**2 = 0.
-300, 2
Let t(s) be the first derivative of 2*s**6/3 + 16*s**5/5 - s**4 - 16*s**3/3 - 1027. Factor t(w).
4*w**2*(w - 1)*(w + 1)*(w + 4)
Let c = -64755/238 + -3781/34. Let v = c - -385. Find w, given that -3/7*w**2 - v*w - 9/7 = 0.
-3, -1
Let s = 17443/24 + -5771/8. Let o(l) be the third derivative of 2 - 1/12*l**5 - s*l**4 - 20*l**2 - 845/6*l**3 + 0*l. Solve o(w) = 0 for w.
-13
Let f(y) be the third derivative of -1/140*y**6 - 1/2*y**4 + 0 - 19/140*y**5 + 1/490*y**7 - 6/7*y**3 + 0*y - 69*y**2. Suppose f(m) = 0. What is m?
-2, -1, 6
Let v(a) be the third derivative of a**5/180 + 13*a**4/36 + 55*a**3/6 + 2397*a**2. Solve v(j) = 0.
-15, -11
Let r(i) = -i**2 + 6*i - 34. Let u be r(0). Let o be (u/119)/(15/(-28)). Factor -o - 10/3*b**2 + 8/3*b.
-2*(5*b - 2)**2/15
Let p(q) be the second derivative of -q**6/5 + 89*q**5/10 - 2107*q**4/18 + 1849*q**3/9 + 44*q + 15. Determine y so that p(y) = 0.
0, 1, 43/3
Let p(z) = -z**3 + 14*z**2 + 109*z - 70. Let x(n) = 2*n**3 - 13*n**2 - 137*n + 70. Let i(j) = 3*p(j) + 2*x(j). What is s in i(s) = 0?
-10, -7, 1
Let o(w) = -16 - 3 + 0 + 7*w + 0. Let s be o(3). Factor -87*t**3 + 29*t + 190*t**s + 150*t**3 + 35*t**4 + 11*t + 122*t**3.
5*t*(t + 1)*(t + 4)*(7*t + 2)
Let k be 105/10*(-22)/24. Let i = k - -287/24. Determine s, given that -11/3*s + 4/3 + i*s**2 = 0.
4/7, 1
Let n(q) = 25*q**2 + 595*q + 120. Let z(c) = -c**2 - c - 4. Let p(a) = n(a) + 30*z(a). Find o such that p(o) = 0.
0, 113
Suppose -2*x = -4*d - 2, -d = 3*x - 2191 + 2188. Factor 0 + 1/8*g**3 - 15/4*g**2 + d*g.
g**2*(g - 30)/8
Let w(l) = 16*l**4 - l**3 - l. Let o(p) = -147*p**4 - 159*p**3 + 891*p**2 - 1443*p + 732. Let u(c) = o(c) + 9*w(c). Suppose u(s) = 0. Calculate s.
-61, 1, 2
Find x such that 0 + 3/5*x - 2*x**3 - 7/5*x**2 = 0.
-1, 0, 3/10
Factor 104425 - 208755 + 5*h**2 + 104384 - 137*h.
(h - 27)*(5*h - 2)
Factor -16 - 122*k**2 + 40/3*k**3 + 374/3*k.
2*(k - 8)*(k - 1)*(20*k - 3)/3
Suppose -5*o - 3*q + 0*q = -7, 3*q = -4*o + 5. Let s be o/3*(-2 - (-1 - 172)). Let -80*a + 33 - 49 + 26*a**3 - s*a**3 - 20*a**4 - 132*a**2 = 0. Calculate a.
-2, -1, -2/5
Factor 0*r + 129/5*r**2 + 0 - 3/5*r**5 + 27*r**4 - 261/5*r**3.
-3*r**2*(r - 43)*(r - 1)**2/5
Let u = -37 - -45. Suppose -o = 3*o - u. Find t, given that -10*t + 7*t - 3*t + o*t**2 + 4 = 0.
1, 2
Let n(r) be the second derivative of -r**5/150 + r**3/15 - 103*r**2/2 - 27*r + 2. Let v(m) be the first derivative of n(m). Let v(f) = 0. What is f?
-1, 1
Let z(u) be the third derivative of -1/10*u**5 + 1/180*u**6 + 17*u**2 - 2/3*u**3 + 3/4*u**4 + 0 + 0*u. Let h(j) be the first derivative of z(j). Factor h(o).
2*(o - 3)**2
Let u(t) be the second derivative of t**6/180 + 17*t**5/60 + 13*t**4/3 + 10*t**3 + t**2/2 + 12*t. Let s(j) be the second derivative of u(j). Factor s(p).
2*(p + 4)*(p + 13)
Let d be (-6)/21*-7 + -2 - -2. Find i, given that d + 4*i**2 + 40*i + 16*i + 50*i**2 - 2 - 2*i**3 = 0.
-1, 0, 28
Let n = 2827/3990 + -167/3990. Determine u, given that 26/3*u + n*u**3 - 28/3*u**2 + 0 = 0.
0, 1, 13
Suppose 5*d - 38 = 4*v, 5*d = -63*v + 58*v + 20. Suppose -d*k - 16/3 - 2/3*k**2 = 0. What is k?
-8, -1
Let v(m) = 30*m**3 - 470*m**2 + 65*m - 100. Let b(d) = -d**3 + 22*d**2 - 2. Let n(r) = -25*b(r) - v(r). Factor n(s).
-5*(s - 1)*(s + 2)*(s + 15)
Let m = -6602/1230915 - -1/1995. Let g =