)**2/2
Let q be (25/6)/5 - (-5 - 9794/(-1680)). Let l(g) be the third derivative of 0*g**4 - q*g**7 + 1/32*g**6 + 0 - 23*g**2 + 0*g**3 + 0*g + 3/40*g**5. Factor l(v).
-3*v**2*(v - 6)*(v + 1)/4
Let a(u) = 2*u**2 - 18*u + 18. Let t be a(8). Suppose 5*m + 0*z + 5*z + 10 = 0, -z = -5*m + t. Solve 3/8*s**4 + 0*s - 3/8*s**5 + 0*s**2 + 0 + m*s**3 = 0.
0, 1
Let h(j) be the second derivative of j**5/35 - 599*j**4/21 + 2390*j**3/21 - 1194*j**2/7 - 1573*j. Let h(c) = 0. What is c?
1, 597
Suppose 136 = -j - 3*l, -2*j + 3*l - 318 + 19 = 0. Let c = j - -148. Suppose 2/3*d**c + 8/3*d**2 + 10/3*d + 4/3 = 0. Calculate d.
-2, -1
Solve 2/3*b**2 + 240818/3 + 1388/3*b = 0 for b.
-347
Let q(y) be the first derivative of 9/8*y**3 + 3/16*y**4 + 0*y - 11*y**2 + 1/80*y**5 + 28. Let f(n) be the second derivative of q(n). Solve f(b) = 0.
-3
Let h(z) be the third derivative of 0 - 1/480*z**6 + 0*z + 1/840*z**7 - 1/20*z**5 - 1/24*z**4 + 2/3*z**3 + 26*z**2. Factor h(j).
(j - 4)*(j - 1)*(j + 2)**2/4
Let m = 645 - 645. Factor -67*g**2 - 32*g - 44*g**3 + m*g**3 - 24*g**2 + 5*g**2 + 4*g**5 + 14*g**2.
4*g*(g - 4)*(g + 1)**2*(g + 2)
Let t(y) = 2*y**3 + 9*y**2 + 15*y + 10. Let z be t(-5). Let x be (-14)/(-21) - (-6)/z. What is h in 6/5*h**4 + 0 + x*h - 12/5*h**3 + 9/5*h**5 - 6/5*h**2 = 0?
-1, 0, 1/3, 1
Let j(r) be the first derivative of 3*r**5/140 - 13*r**4/28 + 23*r**3/14 - 33*r**2/14 + 87*r + 85. Let m(c) be the first derivative of j(c). Factor m(o).
3*(o - 11)*(o - 1)**2/7
Let j(g) be the third derivative of -2/21*g**7 + 1/6*g**5 - 80*g**2 + 0*g + 5/3*g**3 + 15/8*g**4 + 0 - 3/8*g**6. Find i such that j(i) = 0.
-2, -1, -1/4, 1
Let h(u) = -u**2 - 12*u - 12. Suppose 2*a + 6 = 3*a - 3*s, 2*a - 4*s - 4 = 0. Let l be h(a). Factor 15 - l + 4*x**2 + 9.
4*x**2
Let d(o) be the third derivative of -5*o**8/168 - o**7/15 + 29*o**6/30 + 2*o**5/15 - 22*o**4/3 - 32*o**3/3 + 2908*o**2. Solve d(l) = 0.
-4, -1, -2/5, 2
Let u(m) be the second derivative of -m**4/42 + 23*m**3/21 - 60*m**2/7 + 288*m + 1. Solve u(x) = 0.
3, 20
Let h(m) = 21*m**2 + 60*m - 1080. Let o(p) = 22*p**2 + 59*p - 1081. Let w(i) = -10*h(i) + 9*o(i). Factor w(r).
-3*(r - 7)*(4*r + 51)
Let n(y) = 5*y**2 - 1001*y + 47481. Let o be n(123). Let x = 80/33 - 12/11. Factor -2/9*z**4 + 16/9 + 8/9*z - x*z**2 - 10/9*z**o.
-2*(z - 1)*(z + 2)**3/9
Let l(m) be the second derivative of 0 + 0*m**2 - 2/105*m**6 + 4/21*m**3 + 1/7*m**4 - 4*m + 0*m**5. Factor l(u).
-4*u*(u - 2)*(u + 1)**2/7
Let t(l) be the first derivative of 1/30*l**5 + 2*l - 134 - 1/2*l**3 + 0*l**4 - 1/3*l**2. Factor t(x).
(x - 3)*(x - 1)*(x + 2)**2/6
Let l(d) be the second derivative of -55/2*d**3 + 56*d - 1/20*d**5 + 121*d**2 + 2*d**4 + 0. Let l(c) = 0. What is c?
2, 11
Let q(s) be the second derivative of 0*s**4 + 0*s**3 + 0*s**2 + 2*s + 1/20*s**5 + 1/45*s**6 + 8 - 1/126*s**7. Factor q(g).
-g**3*(g - 3)*(g + 1)/3
Let t(b) = 17*b**2 + 87*b + 368. Let c(h) = 4*h**2 + 9. Let y(g) = -4*c(g) + t(g). Let y(w) = 0. What is w?
-83, -4
Let s be (-1)/9 - (24678/(-1215) + -4). Factor -308/5*v + 196/5 + s*v**2.
(11*v - 14)**2/5
Let w(z) be the second derivative of z**7/399 + 9*z**6/95 + 73*z**5/190 + 7*z**4/38 - 74*z**3/57 - 48*z**2/19 - 2708*z. Find p such that w(p) = 0.
-24, -2, -1, 1
Let c = 60 - 57. Suppose -4 - 17 = -4*a + c*t, a - 9 = 2*t. Factor 13*x + 7*x + 19*x**2 - 3*x**2 - 4*x**a.
-4*x*(x - 5)*(x + 1)
Let b be 18/39*2626/909. Factor -b + 2/9*d + 2/3*d**3 + 20/9*d**2.
2*(d + 1)*(d + 3)*(3*d - 2)/9
Let r(q) be the second derivative of 1/112*q**7 + 87/160*q**5 + 3/4*q**3 + 0 - 1/8*q**6 + 0*q**2 - q**4 + 206*q. Find c, given that r(c) = 0.
0, 1, 2, 6
Suppose -20 = -4*m, 5*a + 23 = -m - 2. Let h be a - (-3 - ((-1)/(-8) + 3)). Factor -h*n**2 + 0 + 1/2*n.
-n*(n - 4)/8
Let f(u) be the first derivative of 2*u**3/3 - 148*u**2 + 584*u - 9670. Factor f(x).
2*(x - 146)*(x - 2)
Determine v, given that -39*v - 74 + 1995*v**2 + 1994*v**2 - 3990*v**2 = 0.
-37, -2
Let a(f) be the third derivative of 16/13*f**3 + 0 - 3*f**2 + 24*f + 4/65*f**5 + 0*f**6 + 16/39*f**4 - 1/1365*f**7. Determine r, given that a(r) = 0.
-2, 6
Suppose -24*x + 2*x**5 - 33*x**4 + 40*x**2 + 146*x**4 - 125*x**4 - 6*x**3 = 0. What is x?
-2, 0, 1, 6
Let n(w) = 3*w**3 - 32*w**2 + 11*w + 46. Let j(f) = -2*f**2 - f + 1. Let h(y) = 4*j(y) - n(y). Factor h(a).
-3*(a - 7)*(a - 2)*(a + 1)
Let b be 6/27 - 301/(-63). Let v(p) be the first derivative of -19 + 0*p - p**b + 0*p**2 + 5/3*p**3 + 5/4*p**4 - 5/6*p**6. Solve v(g) = 0.
-1, 0, 1
Let h(k) = -10*k**2 - 51*k - 58. Let a be h(-2). Let u(i) be the first derivative of -2/5*i**2 - 2/15*i**3 + 0*i - 14 + 1/10*i**a. Find r, given that u(r) = 0.
-1, 0, 2
Let a(x) = -38*x - 70. Let p be a(-10). Let g = -307 + p. Determine o, given that 0*o + 8/3 - 2/3*o**g - 2*o**2 = 0.
-2, 1
Let u(p) = 11*p**2 - 486*p + 92. Let f be u(44). Let t(r) be the second derivative of 0 + 0*r**2 - 1/24*r**f - 1/120*r**5 + 28*r + 0*r**3. Factor t(q).
-q**2*(q + 3)/6
Factor 20/3*v - 12 - 1/3*v**2.
-(v - 18)*(v - 2)/3
Factor -q**3 + q**3 - 1955*q - 1288*q**2 - 2*q**3 - 672*q**2 - 3*q**3.
-5*q*(q + 1)*(q + 391)
Let v be ((-20169)/(-415))/(136/85). Find m such that 3/8*m**3 - 9/8*m**2 - 135/8*m - v = 0.
-3, 9
Let g be (-4 + 4)/(2 + -1). Let n(r) be the third derivative of -r**2 + 0*r - 7/480*r**5 + 1/12*r**3 + g - 1/16*r**4. Let n(a) = 0. Calculate a.
-2, 2/7
Let -1/3*x**3 + 22*x - 21*x**2 + 128/3 = 0. Calculate x.
-64, -1, 2
Let n = 34 + -34. Suppose -3*q - j + 11 = 0, 0 = 5*q + 3*j - n - 21. Factor 693 + 3*a**q + 12*a - 12*a**2 - 693.
3*a*(a - 2)**2
Suppose 42*y = -y - 22 + 108. Find w such that 0 - 1/3*w**5 + 3*w**4 - y*w**3 + 0*w - 16/3*w**2 = 0.
-1, 0, 2, 8
Let m(b) = 4*b**3 + 54*b**2 - 198*b + 146. Let o(t) = -t**3 - t**2 + 1. Let j(d) = -m(d) - 6*o(d). Factor j(c).
2*(c - 19)*(c - 4)*(c - 1)
Let b be (66/143)/(126/364). Let j = 101/3 - 33. Let j*w**3 + b + 0*w**2 - 2*w = 0. What is w?
-2, 1
Let p(f) be the first derivative of -3*f**5/5 - 387*f**4/4 - 5265*f**3 - 164025*f**2/2 + 1640250*f - 3181. Solve p(n) = 0.
-45, 6
Let q(y) = -y - 42. Let b be q(6). Let m be 3/(-2) - (b/4)/4. What is w in m - 3/2*w + 3/8*w**2 = 0?
2
Let r = 181/50 - 4613/1275. Let j(m) be the third derivative of -28*m**2 - 1/510*m**6 - r*m**5 + 0*m + 0 + 1/102*m**4 + 0*m**3 + 1/1785*m**7. Solve j(z) = 0.
-1, 0, 1, 2
Let q(g) be the second derivative of 6*g**5/5 + 127*g**4/9 + 374*g**3/9 + 20*g**2/3 - 990*g. Find h, given that q(h) = 0.
-5, -2, -1/18
Let k(g) = -2*g**3 - 392*g**2 + 400*g - 2. Let j(i) = 10*i**3 + 1961*i**2 - 2004*i + 11. Let x(v) = -4*j(v) - 22*k(v). Solve x(l) = 0 for l.
-196, 0, 1
Let d be (-1 - -5)/((-10)/30*-3). Factor 12*y**d + 3*y**5 - 194*y + 101*y + 12*y**2 + 96*y + 18*y**3.
3*y*(y + 1)**4
Let n(c) be the second derivative of 16*c**7/483 + 56*c**6/345 + 57*c**5/230 + 19*c**4/138 + 2*c**3/69 + 125*c - 1. Find u such that n(u) = 0.
-2, -1, -1/4, 0
Let w = -2060/53 - -4279/106. What is g in 1/2*g**2 - 2*g + w = 0?
1, 3
Let a(b) be the first derivative of 1/6*b**4 + 4*b - 103 + 1/3*b**2 - 8/9*b**3. Factor a(t).
2*(t - 3)*(t - 2)*(t + 1)/3
Let l(z) = -2*z**2 + 29*z. Let v be l(14). Solve 40*s**3 - 19*s**2 + 41*s**3 - v - 3 + 35*s - 80*s**3 = 0.
1, 17
Factor 2400 + 120*j + 3/2*j**2.
3*(j + 40)**2/2
Factor -1887 - 124*f**2 - 2913 - 4160 + 599*f**3 - 600*f**3 + 2176*f.
-(f - 8)**2*(f + 140)
Let f(i) = -54*i + 4. Let z be f(-4). Let r = z - 216. Factor -1/4*c**r + 3/4*c**2 + 1/4*c - 1/2 - 1/4*c**3.
-(c - 1)**2*(c + 1)*(c + 2)/4
Let 50/3 + 2/3*p**2 + 52/3*p = 0. What is p?
-25, -1
Let o(w) = -w**2 + 11*w + 2. Suppose 0 = -2*m + 5*q + 17, -2*m = -m - 3*q - 8. Let v be o(m). Factor 7*s**2 + 2 - 3*s**2 - 2*s**v - 4*s.
2*(s - 1)**2
Factor 0 - 8/3*j**2 + 14/9*j**3 - 2/9*j**4 + 0*j.
-2*j**2*(j - 4)*(j - 3)/9
What is h in 1024/7*h + 236/7*h**4 + 0 + 1248/7*h**3 - 4/7*h**5 + 2032/7*h**2 = 0?
-2, -1, 0, 64
Let p(z) be the first derivative of z**4/4 + 13*z**3 + 72*z**2 + 140*z + 3525. Determine u so that p(u) = 0.
-35, -2
Let x(z) = z**2 - 7*z - 12. Let b(f) = -9*f**2 + 13*f**2 + 15*f + 28*f + 72 - 9*f**2. Let g(t) = -6*b(t) - 34*x(t). Factor g(o).
-4*(o + 2)*(o + 3)
Let z(o) be the first derivative of 4*o**3/3 - 47*o**2/2 + 33*o - 930. Suppose z(k) = 0. What is k?
3/4, 11
Let r(q) be the third derivative of q**5/180 + 3*q**4/8 - 3