= c - 1. Let a(b) = 4*b - 8. Let q(r) = -a(r) + 3*p(r). Let y be q(3). Find i, given that 0*i**3 + i**2 - 5*i - 4*i**2 + 5*i**y + i**3 - 6 = 0.
-3, -1, 2
Let p(m) be the first derivative of 32*m + 6*m**6 + 129*m**4 - 172 + 224/5*m**5 + 536/3*m**3 + 120*m**2. Determine s so that p(s) = 0.
-2, -1, -2/9
Let n(a) be the first derivative of 0*a - 1/3*a**3 + 9/2*a**2 + 197. Factor n(k).
-k*(k - 9)
Let h = -16/67303 - -13056894/471121. Suppose -8/7*w**2 - 48/7 - h*w = 0. What is w?
-24, -1/4
Let i be 204/54 - (-2)/9. Suppose -i*q + 15 = -1. Factor q*p**4 - 2*p**2 - 8*p - 7*p**3 - 2*p**2 + 15*p**3.
4*p*(p - 1)*(p + 1)*(p + 2)
Determine v, given that -3/5*v**2 - 1603083/5 - 4386/5*v = 0.
-731
Suppose 6*p - 15 = -3. Suppose 4*u = h - 2 + 32, u = 5*h - p. Factor -u*o**5 + 10*o**2 + 2*o**4 - 8 + o**3 - 4*o + 9*o**5 - 6*o**4.
(o - 2)**3*(o + 1)**2
Let y(d) be the first derivative of -675/8*d**2 + 3375/4*d - 1/16*d**4 + 15/4*d**3 - 79. Factor y(l).
-(l - 15)**3/4
Let z(h) be the third derivative of h**7/14 - 5*h**6/6 + 9*h**5/4 + 65*h**4/12 - 20*h**3 + 1242*h**2. Suppose z(d) = 0. Calculate d.
-1, 2/3, 3, 4
Let u(d) be the first derivative of -4*d**5/5 - 11*d**4 + 280*d**3 + 8914. Solve u(t) = 0.
-21, 0, 10
Let u(i) be the second derivative of -i**6/1440 - i**5/48 - i**4/4 + 5*i**3/3 + 88*i. Let b(m) be the second derivative of u(m). Factor b(p).
-(p + 4)*(p + 6)/4
Let b(x) = x**2 - 19*x - 113. Let q be b(-5). Let p(g) = 19*g - 131. Let j be p(q). Factor 2/3*n**3 + 2/3*n**j - 2/3*n**4 - 2/3*n + 0.
-2*n*(n - 1)**2*(n + 1)/3
Suppose -3*l - 2*c + 18 = 0, 27*l + c = 32*l - 4. Suppose -2*u - 3 = -6*u + 3*j, 3 = 3*u - 2*j. Determine m so that -4/3 + 2*m - 2/3*m**u + 0*m**l = 0.
-2, 1
Factor 6088387976/9*f + 3334276/3*f**2 + 1389674555522/9 + 2/9*f**4 + 7304/9*f**3.
2*(f + 913)**4/9
Let s = 156087 - 156085. Determine a, given that 26/15*a**s + 0*a + 0 + 2/15*a**4 - 28/15*a**3 = 0.
0, 1, 13
Suppose -2*o - 2*m + 22 = 0, -16*o = -14*o - 3*m + 18. Let d(h) be the first derivative of 5/6*h**o + 5/2*h**2 + 26 - 15/2*h. Factor d(g).
5*(g - 1)*(g + 3)/2
Let s(o) = -16*o**2 - 84*o + 2162. Let l(v) = -5*v**2 - 26*v + 720. Let t(u) = -20*l(u) + 6*s(u). Factor t(y).
4*(y - 17)*(y + 21)
Let v be (-10)/4*(-6072)/230. Factor 200*z - 5*z**4 + 64*z**3 + v*z**3 + 183*z**2 - 3*z**2 - 100*z**3.
-5*z*(z - 10)*(z + 2)**2
Let o = 27 - 9. Let k(p) = 2*p**2 - 35*p - 14. Let h be k(o). Suppose -11*n**3 + 15*n**5 - 3*n**h + 6*n - 6*n**5 - 4*n**3 + 3*n**2 = 0. Calculate n.
-1, -2/3, 0, 1
Let t(o) be the second derivative of 2*o**6/15 - 6*o**5/5 - 667*o**4/3 - 52*o - 2. Suppose t(p) = 0. Calculate p.
-23, 0, 29
Suppose 3*a + 5*z - 1860 = 6*a, -a = 3*z + 620. Let i = a + 6822/11. Factor -i*t**3 + 0*t + 0 + 2/11*t**4 + 0*t**2.
2*t**3*(t - 1)/11
Let b(l) = 2*l**2 - 3*l + 2. Let f(r) = 8*r**2 - 897*r + 892. Let q(u) = -3*b(u) + f(u). Factor q(a).
2*(a - 443)*(a - 1)
Determine x, given that 915987*x - 700 + 17*x**2 - 915587*x - 2*x**2 - 3*x**2 = 0.
-35, 5/3
Let a be (-201)/(12/8*-2). Suppose a = 27*w + 67. Find i such that -8/5*i - 2/5*i**2 + w = 0.
-4, 0
Let g(t) be the second derivative of -t**5/80 + 165*t**4/8 + 1090*t. What is b in g(b) = 0?
0, 990
Suppose 9 = 4*t + 2*f - 137, -2*f - 113 = -3*t. Let h be (-111)/t + (8 - 0). Solve 2/3*r**4 + 7*r**3 - 7/3*r**h + 8/3*r**2 - 4/3*r + 0 = 0 for r.
-1, 0, 2/7, 2
Let l(p) be the first derivative of p**6/6 - 12*p**5/5 - 31*p**4/4 + 34*p**3/3 + 54*p**2 + 56*p - 378. Solve l(f) = 0.
-2, -1, 2, 14
Suppose 5*b + 3 - 23 = m, 0 = 2*b + 5*m - 8. Factor 15*f**3 + 756 + 5*f**b - 756.
5*f**3*(f + 3)
Let d be ((2 - 0 - 1)*0/(6 + 10))/(-1). Find g, given that 3/5*g + 7/5*g**2 + d - 3/5*g**3 - 7/5*g**4 = 0.
-1, -3/7, 0, 1
Determine b so that 42669*b**3 + 745*b - 490 - 260*b**2 - 85325*b**3 + 42661*b**3 = 0.
1, 2, 49
Let b(g) = -g**2 + 5. Let n be b(-4). Let q be (3 - n/(-2))*32/(-20). Solve q*m + 2*m + 0*m + 4 - 8*m - 2*m**2 = 0 for m.
-2, 1
Let o be 40/(-19) - (-12)/114. Let l be (3 + -3)*7/14 - o. What is d in -8/3*d**3 - 2/3*d**l + 0*d + 0 = 0?
-1/4, 0
Let v(u) be the second derivative of u**6/48 - u**5/24 - 25*u**4/24 - 10*u**3/3 + 61*u**2/2 - 181*u. Let z(d) be the first derivative of v(d). Factor z(b).
5*(b - 4)*(b + 1)*(b + 2)/2
Let v be (-151)/((-1359)/756) + -81. Factor 1/5*i + 21/5 - 21/5*i**2 - 1/5*i**v.
-(i - 1)*(i + 1)*(i + 21)/5
Let j(b) = -7*b**2 + 1. Let n be j(0). Let z be n/3 - (-322)/(-2622). Factor -2/19*u**3 + z*u + 2/19*u**2 + 0.
-2*u*(u - 2)*(u + 1)/19
Suppose 696 + 550 = 440*u + 366. Find f such that -6/17*f + 2/17*f**3 + 4/17 + 0*f**u = 0.
-2, 1
Suppose 27 - 13 + 48 = 31*u. Let c(k) be the first derivative of -15/4*k**4 + 20/3*k**3 + 0*k + 30 - k**5 + 0*k**u. Factor c(s).
-5*s**2*(s - 1)*(s + 4)
Factor 85/9*y**2 + 82/3*y + 0 + 1/9*y**3.
y*(y + 3)*(y + 82)/9
Let n = 12805 + -12803. Let w(p) be the first derivative of -40*p + 14 + 5/3*p**3 - 5*p**n. Factor w(o).
5*(o - 4)*(o + 2)
Suppose 47*p - 5*p + 42 = 0. Let h be 16/24*(p - -2). Factor -10/3*g**3 - 2/3*g**4 - h - 11/2*g**2 - 10/3*g.
-(g + 2)**2*(2*g + 1)**2/6
Let 236 + 716*h**2 + 31479*h**3 + 1648*h + 31404*h**3 + 2147*h**2 - 62932*h**3 = 0. What is h?
-2/7, 59
Let w = 19858 - 19858. Factor 0*n**2 - 1/2*n**5 + 3/2*n**3 + w + 0*n + n**4.
-n**3*(n - 3)*(n + 1)/2
Let o be 9/12*(-692)/(-1038). Let i(r) be the first derivative of 25 + 0*r + r**2 - 4/3*r**3 + o*r**4. Solve i(v) = 0 for v.
0, 1
Factor 8*k**3 + 450*k - 4*k**3 + 5*k**4 - 4295*k**2 - 104*k**3 + 4640*k**2.
5*k*(k - 15)*(k - 6)*(k + 1)
Let w(z) = -z**3 - 44*z**2 - 63*z - 857. Let m be w(-43). Suppose -36/7*n**2 + 4/7*n**m - 64/7 + 96/7*n = 0. Calculate n.
1, 4
Let w(f) be the third derivative of -f**7/420 + f**6/12 - 11*f**5/10 + 20*f**4/3 - 64*f**3/3 - 36*f**2. Determine q so that w(q) = 0.
2, 8
Let d(x) be the second derivative of x**6/270 - 19*x**5/360 - 5*x**4/72 + 5*x**3/3 - 25*x. Let o(y) be the second derivative of d(y). Factor o(p).
(p - 5)*(4*p + 1)/3
Let w(g) be the second derivative of g**5/10 - 11*g**4/3 - 25*g**3 + 50*g - 20. What is y in w(y) = 0?
-3, 0, 25
Let w(i) be the third derivative of -i**5/90 + 19*i**4/18 + 80*i**3/9 - 1047*i**2. Find r such that w(r) = 0.
-2, 40
Let k = -2055 - -14397/7. Factor k*i**2 + 0 + 2/7*i**3 + 10/7*i.
2*i*(i + 1)*(i + 5)/7
Let q(x) be the second derivative of x**6/1440 - x**5/60 + x**4/6 - 58*x**3/3 - 117*x. Let k(l) be the second derivative of q(l). What is c in k(c) = 0?
4
Let s(y) = 3*y**3 - 3065*y**2 - 1170460*y - 15. Let o(w) = -5*w**3 + 4598*w**2 + 1755691*w + 24. Let z(u) = 5*o(u) + 8*s(u). Find j, given that z(j) = 0.
-765, 0
Let p be 8 + -20 - -18 - 11/(209/112). Factor -14/19*d - 8/19 + p*d**3 - 4/19*d**2.
2*(d - 4)*(d + 1)**2/19
Let a(c) be the first derivative of -c**3/21 - 2480*c**2/7 - 6150400*c/7 - 7148. What is l in a(l) = 0?
-2480
Let x = -367 + 334. Let t be (1/x)/((-12)/72). Determine h so that -2/11*h**3 + 4/11*h**2 - 4/11 + t*h = 0.
-1, 1, 2
Let c = -212 - -88. Let r = -118 - c. Suppose -4*a**3 + 12*a - 23*a + 6*a**4 - 12*a**2 + 13*a + 2*a**5 + r = 0. Calculate a.
-3, -1, 1
Let g = 838 - 827. Let o be (-59)/21*-3 + (-55)/g. Let -3/7*m**2 + 6/7*m + o = 0. What is m?
-2, 4
Let f(z) = -3*z**2 - 1. Let v(m) = 76*m**3 - 7*m**2 - 684*m - 77. Let y(q) = -5*f(q) + v(q). Factor y(g).
4*(g - 3)*(g + 3)*(19*g + 2)
Suppose 4*p + 3 = 23. Suppose -4*d - p*a + 57 = -8, -5 = -d + a. Solve -d*c**5 + 15*c**5 + 10 - 5*c**4 + 25*c - 10*c**2 - 30*c**3 + 5 = 0 for c.
-1, 1, 3
Let q = 64 + -62. Suppose -g + 5*s + 11 = 2*g, q*g - s = 5. Solve -22*t**2 + 9*t**5 + 12 - 24*t + t**g + 51*t**3 + 12*t**2 - 5*t**4 - 34*t**4 = 0.
-2/3, 1, 2
Let y(v) be the second derivative of 2*v**6/105 - 4*v**5/35 - 191*v**4/21 + 260*v**3/7 - 23*v - 152. Find g, given that y(g) = 0.
-13, 0, 2, 15
Let s(m) = -m**3 + m - 437. Let l be s(0). Let j = -434 - l. Factor -6/5*o + j*o**2 - 9/5.
3*(o - 1)*(5*o + 3)/5
Let f = -21676/3 + 43367/6. Suppose 15*a - 25/2 - f*a**2 = 0. Calculate a.
1, 5
Let w(o) = 6*o**2 - 424*o + 282. Let l be w(70). Let y(v) be the first derivative of 9 - 15*v**3 + 5*v - 15/2*v**l - 25/4*v**4. Determine g so that y(g) = 0.
-1, 1/5
Let z be 0/(0 + (-22)/11). Suppose -j + 6*q + 10 = 2*q, 4*q + 8 = z. Factor 16/7 + 2/7*n**4 + 2*n**3 + 36/7*n**j + 40/7*n.
2*(n + 1)*(n + 2)**3/7
Let u(n) = 37*