 - 2*n**2 + 0*n**3 - 1/85*n**5 + 0*n + 9 + 1/1020*n**6. Factor d(p).
2*p*(p - 3)**2/17
Let u(n) = -n - 1. Let f(s) = s + 83. Let h(c) = f(c) + 6*u(c). Let o be h(15). Factor -5/6*m**o + 15/2 - 20/3*m.
-5*(m - 1)*(m + 9)/6
Let d be 82 + (-3)/(-3 - (-36)/8). Let f = 86 - d. Factor f*c**2 + c - 3 - 6*c**3 - 4*c**3 - 3*c**2 + 9*c**3.
-(c - 3)*(c - 1)*(c + 1)
Let b(n) be the second derivative of -n**6/70 - 9*n**5/140 + 2*n**3/7 + 1026*n. Factor b(j).
-3*j*(j - 1)*(j + 2)**2/7
Suppose 2*l + 40 = 4*v, -3*v - 57 = 4*l + 1. Let j be -10 - 5373/(-504) - (-6)/l. Let j*w**2 + 2/7*w + 0 = 0. What is w?
-1, 0
Let w(q) = q**3 + 7806*q**2 - 2542898*q + 2535007. Let s(v) = -v**3 - 5204*v**2 + 1695270*v - 1690005. Let z(r) = 7*s(r) + 5*w(r). Factor z(p).
-2*(p - 650)**2*(p - 1)
Solve 0 + 2/5*g**4 + 2/5*g**3 + 0*g - 2/5*g**2 - 2/5*g**5 = 0 for g.
-1, 0, 1
Let r(j) be the second derivative of j**4/2 + 235*j**3/6 + 39*j**2/2 + 192*j - 1. Factor r(z).
(z + 39)*(6*z + 1)
Let y(c) be the second derivative of -c**5/20 - 193*c**4/12 + 389*c**3/6 - 195*c**2/2 + 131*c. Factor y(h).
-(h - 1)**2*(h + 195)
Let a(v) = -2*v**2 - 93*v - 85. Let d(t) = t**2 - 6*t - 1. Let q(u) = -a(u) + d(u). Solve q(b) = 0 for b.
-28, -1
Let p(b) = 3*b + 42. Let w be p(-13). Factor -21*t + 18*t**2 + 21*t + 24*t + 3*t**w.
3*t*(t + 2)*(t + 4)
Suppose 3*m**3 - 83*m**2 - 3*m**2 + 8*m**2 + 495*m = 0. Calculate m.
0, 11, 15
Let p(z) = -z**3 + z. Let f = 137 + -138. Let w(a) = 20*a**3 + 5*a**2 + 5*a. Let j(s) = f*w(s) - 25*p(s). Determine l so that j(l) = 0.
-2, 0, 3
Let w(g) be the second derivative of g**4/20 + 607*g**3/10 - 912*g**2/5 - 5*g - 545. Solve w(h) = 0.
-608, 1
Let l(d) = -30. Let a(s) = -5*s**2 + 10640*s - 5660450. Let u(z) = -a(z) - l(z). Find c, given that u(c) = 0.
1064
Suppose -6/17*v**2 + 2/17*v**3 - 90/17*v - 162/17 = 0. What is v?
-3, 9
Let p(t) = t**3 + t - 1. Let v(x) = 171*x - 8*x**3 + 7*x**2 + 8*x**2 - 174*x + 3. Let d(a) = -3*p(a) - v(a). Factor d(k).
5*k**2*(k - 3)
Let q(t) be the first derivative of -t**8/420 - 4*t**7/105 - 7*t**6/90 + 5*t**3/3 - 3*t + 53. Let f(p) be the third derivative of q(p). Factor f(u).
-4*u**2*(u + 1)*(u + 7)
Let h = -212828/3 - -70943. Let z(x) = x**3 + 7*x**2 + 5*x - 4. Let m be z(-6). Determine b so that -1/6*b**m + h*b + 0 = 0.
0, 2
Suppose 51*j = 47*j + 696. Let h be (2/3)/(j/232). Suppose -14*g**2 + 32/9*g**4 - h - 16/9*g**3 + 64/9*g = 0. What is g?
-2, 1/4, 2
Suppose 253*o = 247*o + 120. Let l be 5/o*-3*8/(-18). Let k**2 + l*k**3 + 0*k + 0 = 0. What is k?
-3, 0
Let i = -17245 + 17245. Factor i*k**2 + 0 - 6*k + 3/2*k**3.
3*k*(k - 2)*(k + 2)/2
Solve 348/7*t - 162/7*t**2 + 1328/7 - 2/7*t**3 = 0 for t.
-83, -2, 4
Let o(x) be the first derivative of -x**5/40 + 11*x**3/24 + 9*x**2/8 + x + 4474. Let o(t) = 0. What is t?
-2, -1, 4
Let w be (0 - 2)*5/(-5). Suppose -116 = -5*q - 4*c, 2*q - 6*c = -w*c + 24. Factor 20 - 40*x**2 + 7*x**3 - 27*x**3 + 25*x**2 - 5*x**4 + q*x.
-5*(x - 1)*(x + 1)*(x + 2)**2
Let h(a) be the first derivative of -a**5/130 - 8*a**4/39 + a**3/39 + 16*a**2/13 + 79*a - 38. Let r(u) be the first derivative of h(u). Factor r(i).
-2*(i - 1)*(i + 1)*(i + 16)/13
Let d = 3062/7 + -9158/21. Determine g so that d - 34/3*g + 22*g**2 - 70/3*g**4 + 34/3*g**3 = 0.
-1, 1/5, 2/7, 1
Let t = -15505 - -248081/16. Let h(c) be the third derivative of 0*c + 23*c**2 + 0 - 1/720*c**5 - 9/8*c**3 + t*c**4. Factor h(g).
-(g - 9)**2/12
Let d(p) be the third derivative of p**8/672 + p**7/168 + p**6/144 - 7*p**3/3 + 4*p**2 - 2*p. Let f(m) be the first derivative of d(m). Factor f(y).
5*y**2*(y + 1)**2/2
Let f(b) be the first derivative of -b**3/3 + 2940*b**2 - 8643600*b + 5007. Find p such that f(p) = 0.
2940
Let v(i) be the second derivative of i**4/30 + 2*i**3/15 - 224*i**2/5 - i + 949. Factor v(u).
2*(u - 14)*(u + 16)/5
Let k(a) be the first derivative of 1/3*a**3 + 2/5*a**2 + 51 + 1/30*a**6 - 4/5*a - 1/4*a**4 - 1/25*a**5. What is d in k(d) = 0?
-2, -1, 1, 2
Let l(k) be the third derivative of 3/80*k**5 + 228*k**2 + 9/2*k**3 + 1/960*k**6 + 9/16*k**4 + 0*k + 0. Factor l(p).
(p + 6)**3/8
Suppose 170*r = 150*r + 6320. Let u be (r/12)/((-55)/(-33)) + 1. Find m such that -32/5*m**4 + u*m - 8*m**2 - 4/5*m**5 + 72/5 - 16*m**3 = 0.
-3, -2, -1, 1
Let g(k) = -k**3 - k + 1. Let p(s) = -5*s**3 - 2*s**2 + 8*s - 1. Let z(u) = 5*g(u) + p(u). Let d be z(-1). Factor -26*w**2 + 7*w + d*w - 18*w**3 + 21*w**3.
w*(w - 8)*(3*w - 2)
Let p(m) be the first derivative of m**8/3528 - m**7/441 + m**6/210 - 75*m**2 - 98. Let k(i) be the second derivative of p(i). Determine j so that k(j) = 0.
0, 2, 3
Let p = 4 - 2. Suppose -2*f - p*f = -4*a - 28, 4*a + 19 = f. Solve 0*t**4 - 2*t**4 - 3*t**4 + 50*t**3 - 125*t**2 + 0*t**f = 0 for t.
0, 5
Let h(v) be the third derivative of v**5/420 - v**4/84 + 11*v**2 - 1. What is z in h(z) = 0?
0, 2
Let q(s) be the first derivative of s**6/36 + s**5/2 + 89*s**4/24 + 29*s**3/2 + 63*s**2/2 + 36*s + 521. Factor q(b).
(b + 2)*(b + 3)**3*(b + 4)/6
Let v = -46345/24 - -15451/8. Factor v*y**5 + 0*y - 1/2*y**4 + 0*y**2 + 0 + 1/6*y**3.
y**3*(y - 1)*(2*y - 1)/6
Let o(v) = v**4 - 7*v**2 - 6. Let n(f) = -f**3 - f**2 + f - 1. Let y(s) = s**2 - 31*s - 33. Let h be y(32). Let g(u) = h*o(u) + 6*n(u). Factor g(a).
-a*(a - 1)*(a + 1)*(a + 6)
Let f = -3 - -8. Let p be 4*((-10)/(-25))/(4/f). Factor -12*r**4 - 14*r**3 - 3*r**p - 6*r**2 - 8*r**2 + 15*r**2.
-2*r**2*(r + 1)*(6*r + 1)
Factor 7/6*g + 0 - 61/6*g**2 + 9*g**3.
g*(g - 1)*(54*g - 7)/6
Let p(t) be the second derivative of t**4/90 + 62*t**3/45 + 8*t**2 + 176*t. Factor p(g).
2*(g + 2)*(g + 60)/15
Let a(f) = -12*f + 6. Let x be a(2). Let z be (-8)/x*-6*-3. Factor -5*i + 4*i + z - 2*i - 4*i**2 - i.
-4*(i - 1)*(i + 2)
Suppose 0 = -18*i + 8274 + 16998. Suppose -i*g + 22 = -1393*g. Factor 4/3*k + 0 - 4/3*k**g.
-4*k*(k - 1)/3
Suppose -2*m + 598 = 4*s, 2*m - 2*s = 4*m - 596. Let z = m + -295. Factor -4/5*u - 2/15*u**3 - 2/3*u**z + 0.
-2*u*(u + 2)*(u + 3)/15
Let s be 1032/86 + (-5 - -3 - 6). Let u(j) be the second derivative of -10/3*j**3 - 1/6*j**6 + j**5 - 5/4*j**s + 43*j + 0 + 10*j**2. Factor u(n).
-5*(n - 2)**2*(n - 1)*(n + 1)
Let r be (1/(-2))/(-13 + 7). Let h(d) be the third derivative of 0 - 12*d**2 - 5/4*d**4 + 0*d - 15/2*d**3 - r*d**5. Suppose h(o) = 0. Calculate o.
-3
Let r(q) = -q**3 - 3*q**2 - q + 2. Let f(v) = 18*v**2 - 64*v - 80. Let z(x) = -2*f(x) + 4*r(x). Solve z(b) = 0 for b.
-14, -1, 3
Let s(h) = -4*h**3 + 151*h**2 - 253*h + 39. Let l be s(36). Determine v, given that 7/5*v - 6/5 + 0*v**2 - 1/5*v**l = 0.
-3, 1, 2
Factor -2/5*u**2 + 3/5 - 1/5*u**4 + 4/5*u**3 - 4/5*u.
-(u - 3)*(u - 1)**2*(u + 1)/5
Let s = 41 + -38. Determine a so that -4*a**4 + 3 + 3 + 5*a**4 - 12 + 5*a**2 + 5*a**s - 5*a = 0.
-3, -2, -1, 1
Let y(k) = -k**2 - 5*k + 234. Let b be y(-18). Let z(f) be the third derivative of 1/120*f**5 + b*f + 1/480*f**6 + 0*f**4 + 0*f**3 + 0 - f**2. Factor z(a).
a**2*(a + 2)/4
Let s be 22/(-143) - (-92)/91. Let b(j) = j**3 - 9*j**2 - 10*j + 3. Let c be b(10). Factor 0 + 2/7*z**4 + 0*z**c + 4/7*z - s*z**2.
2*z*(z - 1)**2*(z + 2)/7
Let p = -19637 - -19639. Let b(n) be the first derivative of 0*n - 4/9*n**3 + 0*n**p + 1/18*n**4 - 14. Factor b(h).
2*h**2*(h - 6)/9
Let r be (-3 + 4 - 0)*209. Let t = 1047/5 - r. Factor -2/5*x**4 + 2/5*x**2 + 0 - 2/5*x + t*x**3.
-2*x*(x - 1)**2*(x + 1)/5
Determine c, given that 1391*c**2 - 2658*c**2 + 16*c + 10*c + 1420*c**2 + 4*c + 15*c**3 = 0.
-10, -1/5, 0
Let b be (-8)/(-10) - 1 - (-10250)/1250. Let c(u) be the first derivative of -b*u**2 + 3 - 16*u - 4/3*u**3. Suppose c(q) = 0. What is q?
-2
Find k, given that -26*k**5 - 4592*k**2 - 9*k**4 + 3*k**4 - 888*k**3 - 10*k**4 - 3724*k + 30*k**5 = 0.
-7, -1, 0, 19
Factor 2/9*f**2 + 160/9 - 14/3*f.
2*(f - 16)*(f - 5)/9
Suppose -9 - 11 = -5*i. Suppose -i*j = -16 + 4. Factor -11 - j - 10*p + 2 + 5*p**2 - 3.
5*(p - 3)*(p + 1)
Factor -3844/7 - 713/7*v - 1/7*v**3 + 58/7*v**2.
-(v - 31)**2*(v + 4)/7
Let d(b) be the second derivative of 1/2*b**3 + 27*b + 1 + 5/3*b**2 - 1/36*b**4. Factor d(u).
-(u - 10)*(u + 1)/3
Determine z so that -2/17*z**2 + 768/17 + 380/17*z = 0.
-2, 192
Factor 255*v - 114*v**2 - 48*v**3 - 143*v + 4*v**4 - 7*v**4 - 154*v + 27*v**2.
-3*v*(v + 1)**2*(v + 14)
Let w(q) be the second derivative of -q**7/7560 - q**6/120 - 7*q**5/