pose -99 = 4*x + 3*i, 12*x - 3*i + 45 = 10*x. Let k be (-2 - 0)/x*(-32)/(-12). Solve k*a + 2/9*a**2 + 0 = 0.
-1, 0
Suppose -5*w - 1757 = 283. Let n be ((-4)/(-12))/((-4)/w). Let 3*g**3 - 6 + 4*g - 2 + 12*g**2 - 38*g**4 - 7*g**3 + n*g**4 = 0. Calculate g.
-2, -1, 1
Let p be (-15)/(-156) + (1 - (-44)/(-52)). Let 9/4*j**2 - 11/4*j - p*j**4 + 1 - 1/4*j**3 = 0. Calculate j.
-4, 1
Let v be (-4)/(-2)*((-228)/(-8))/19. Let v*h**2 + 0 - 3*h**4 + 0*h**3 + 3/2*h - 3/2*h**5 = 0. What is h?
-1, 0, 1
Let m(w) = 69*w**2 + 219*w + 201. Let g(b) = -604 - 156*b**2 + 111*b**2 - 279*b - 163*b**2 - 377*b. Let t(q) = -5*g(q) - 16*m(q). Suppose t(s) = 0. Calculate s.
-7/4
Suppose 7*c = 3*s + 3*c + 544, 5*c + 684 = -4*s. Let y = -1230/7 - s. Factor 0*r - y*r**3 + 0 + 2/7*r**2.
-2*r**2*(r - 1)/7
Let x be ((32/(-84))/4)/((-20)/35). Let b(l) be the second derivative of 1/4*l**2 + 0*l**4 - 9*l - 1/60*l**6 + x*l**3 + 0 - 1/20*l**5. Factor b(s).
-(s - 1)*(s + 1)**3/2
Let v(p) be the second derivative of p**5/20 + p**4/2 + 3*p**3/2 - 15*p**2/2 - 18*p. Let d(x) be the first derivative of v(x). Determine f, given that d(f) = 0.
-3, -1
Let l(q) be the third derivative of 0*q - 16*q**2 - 8/15*q**5 - 19/60*q**4 + 0 + 1/3*q**6 - 1/15*q**3. Find b, given that l(b) = 0.
-1/10, 1
Let b = 470/183 - -6/61. Suppose 129 = -52*v + 95*v. Solve -8/3 - 4/3*a**v + 2*a**2 - 2/3*a**4 + b*a = 0 for a.
-2, 1
Suppose -2*r - 12 = -4*k, 3*k - 26 = -4*r + 5. Suppose -6*q + 5*q = -r. Factor 8 + 1/2*z**2 - q*z.
(z - 4)**2/2
Suppose 0 = -3*x - 94 + 106. Let q(l) be the third derivative of 0*l**x + 0*l + 1/420*l**6 + 0 - 5*l**2 + 0*l**3 + 0*l**5. Factor q(y).
2*y**3/7
Suppose 0 = -3*g - 2*j - 13, 0 = -3*g + 5*j + 15 + 7. Let w be (g - 3) + (1 + 9 - 6). Solve 13/3*o**3 + 4*o**2 + 1/3*o**5 + 4/3*o + 2*o**4 + w = 0.
-2, -1, 0
Let t(i) be the first derivative of -i**6/18 + 3*i**5/8 - 5*i**4/12 + 13*i**3/3 - 8. Let g(f) be the third derivative of t(f). Factor g(r).
-5*(r - 2)*(4*r - 1)
Suppose x - 280 = 6*x. Let c = -111/2 - x. Determine m so that -1/4*m**2 - 1/4*m**4 + 0*m + 0 - c*m**3 = 0.
-1, 0
Let l(b) be the second derivative of 4/5*b**2 + 19/10*b**4 + 1/6*b**6 + 19/20*b**5 + 26/15*b**3 + 0 - 21*b. Factor l(f).
(f + 1)*(f + 2)*(5*f + 2)**2/5
Let w be 3/15*10/70. Let s(x) be the second derivative of 1/105*x**6 + 0*x**3 - w*x**5 + 3*x + 1/42*x**4 + 0*x**2 + 0. Solve s(f) = 0 for f.
0, 1
Suppose 2*q - 7*q + 5 = -5*d, -5 = 2*q + 5*d. Suppose 3 = 2*l - 7, -11 = -2*i - l. Determine t so that -2*t - t + 3*t**i + 0 + q + 3 - 3*t**2 = 0.
-1, 1
Let u(j) = -j**3 - 9*j**2 + 2*j + 22. Let t be u(-9). Factor -10*d**4 + 8*d**3 + 18*d + 21*d**2 + 25*d**t - 14*d**4.
d*(d + 2)*(d + 3)**2
Let r(w) be the second derivative of 3*w**5/80 - 9*w**4/16 - 11*w**3/4 + 3*w + 68. Factor r(b).
3*b*(b - 11)*(b + 2)/4
Let h be 2/3*((-60)/(-20) - 0). Factor 4/3*p - 1 - 1/3*p**h.
-(p - 3)*(p - 1)/3
Let f(m) = 4*m**2 - 2*m + 1. Let s be f(1). Let b be -1 + s/1 + 3. Factor -3*h + 10*h**2 - h**b - h + 3*h**5 - 8*h**3 - 2*h**4 + 2*h**3.
2*h*(h - 1)**3*(h + 2)
Let t(m) = 29*m**4 - 431*m**3 + 565*m**2 - 166*m. Let g(u) = -61*u**4 + 863*u**3 - 1129*u**2 + 334*u. Let f(a) = -3*g(a) - 7*t(a). Find o such that f(o) = 0.
0, 2/5, 1, 20
Let 24/7 + 18/7*y + 3/7*y**2 = 0. What is y?
-4, -2
Determine s, given that 9*s**4 + 71100*s - 21*s**2 - 71118*s + 9*s**3 - 3*s**5 + 0*s**5 = 0.
-1, 0, 2, 3
Let m(z) = -3*z + 0*z + 5 + 2*z**2 + 0*z**2. Let d(o) = -25*o**2 - 4 + 1 + 24*o**2 + 2*o. Let w(y) = 5*d(y) + 3*m(y). Factor w(f).
f*(f + 1)
Suppose 0 = -37*a - 371 + 445. Factor m**a - 1/6*m**4 + 0*m**3 - 4/3*m + 1/2.
-(m - 1)**3*(m + 3)/6
Let q(u) = 3*u - 3. Let m be q(2). Suppose 0 = 7*z - 566 + 503. What is f in -358*f**4 + z*f**3 + 355*f**4 - 12*f + 0*f**m = 0?
-1, 0, 2
Let g(r) be the third derivative of -r**6/600 - r**5/200 + 5*r**3/6 + 4*r**2. Let a(d) be the first derivative of g(d). Factor a(i).
-3*i*(i + 1)/5
Factor -160/3 - 5/3*f**3 + 0*f + 10*f**2.
-5*(f - 4)**2*(f + 2)/3
Solve 54/7*w + 0 + 3/7*w**2 = 0 for w.
-18, 0
Let g(t) be the first derivative of t**6/280 - 3*t**5/140 + t**4/28 + 2*t**2 - 1. Let p(i) be the second derivative of g(i). Factor p(r).
3*r*(r - 2)*(r - 1)/7
Let b(h) = -h - 19. Let s be b(-27). Let v be -3*((-80)/135)/s. Factor v*z**4 + 0*z - 4/9*z**2 + 2/9 + 0*z**3.
2*(z - 1)**2*(z + 1)**2/9
Let q(f) be the third derivative of -f**5/180 - 2*f**4/9 - 13*f**3/6 + 12*f**2 - 3. Find p, given that q(p) = 0.
-13, -3
Let f = 36399 + -181991/5. Factor 4/5*t**2 - 16/5 - f*t**3 + 16/5*t.
-4*(t - 2)*(t - 1)*(t + 2)/5
Factor n**5 - 3*n**2 + 2 + 3*n - 97*n**3 + 45*n**3 + 48*n**3 + 0*n**5 + n**2.
(n - 2)*(n - 1)*(n + 1)**3
Let x(c) = -c + 13. Let k be x(-9). Let z = k - 19. Factor -10*p**4 + 7*p + 15*p**2 - 6*p**2 + 2 + 5*p**z + 11*p**4.
(p + 1)**3*(p + 2)
Let n(b) be the first derivative of -12*b + b**4 - 10*b**2 - 4/3*b**3 + 8. Solve n(s) = 0.
-1, 3
Let n(i) = 9*i**4 + 178*i**3 + 1769*i**2 - 10*i + 5. Let p(q) = -4*q**4 - 88*q**3 - 884*q**2 + 4*q - 2. Let a(k) = -2*n(k) - 5*p(k). Factor a(c).
2*c**2*(c + 21)**2
Let t be ((-1)/4)/(2/8). Let b(j) = j**2 - j - 1. Let a(p) = 10*p**2 - 55*p + 120. Let h(c) = t*a(c) + 5*b(c). Factor h(y).
-5*(y - 5)**2
Suppose 2*w + 36 = 6*w. Factor 1 + 4*c**3 - 3*c + 3*c**2 + 4*c**3 - w*c**3.
-(c - 1)**3
Let p = -261 + 151. Let h = 223/2 + p. Let 24*c - 24 + 0*c**2 - 6*c**3 + h*c**4 = 0. What is c?
-2, 2
Suppose -6*d + 16 = -4*d. Let r be (-1 + 1)*(-5 + d - 4). Factor r + 3/2*q**2 + 0*q + 3/2*q**3.
3*q**2*(q + 1)/2
Let x = -243 + 491/2. Let q(d) be the first derivative of -4*d + 28/3*d**3 - 2 - 24/5*d**5 + x*d**4 - 5*d**2. Suppose q(g) = 0. What is g?
-1, -1/4, 2/3, 1
Let l = -26241 - -131208/5. Factor 21/5*d + l*d**2 + 6.
3*(d + 2)*(d + 5)/5
What is j in -65*j**2 + 4225/2*j + 1/2*j**3 + 0 = 0?
0, 65
Let h be 8/(-10)*(-5)/2. Factor 1 + 5/2*k + 1/2*k**3 + h*k**2.
(k + 1)**2*(k + 2)/2
Let v(y) = -y + 1. Let b be v(-7). Suppose 3 = -q + b. Suppose -q*i**2 - 5*i**3 - 5*i**3 + 5*i**4 + 0*i**2 + 10*i**5 = 0. What is i?
-1, -1/2, 0, 1
Suppose 8*a + 1360 = 1408. Let d(h) be the first derivative of -a - 1/6*h**3 + 0*h + 1/8*h**4 - 1/12*h**6 + 1/10*h**5 + 0*h**2. Factor d(q).
-q**2*(q - 1)**2*(q + 1)/2
Let y = -485 + 492. Let n(r) be the first derivative of y - r**3 + 0*r - 3/2*r**2. What is u in n(u) = 0?
-1, 0
Suppose -a = 4 - 27. Factor 4 - 12*c**3 - 12 - 32*c - 15*c**2 - a*c**2.
-2*(c + 2)*(2*c + 1)*(3*c + 2)
Let o = -36 + 36. Let l be 3*(-1)/(-6)*o. Determine w so that l*w + 0 + 1/2*w**3 - 1/2*w**2 = 0.
0, 1
Let x be 1/2 - (-4)/(-8). Suppose 0 = 3*h + 5*w - 20, x*h - 8 = -4*h - 2*w. Factor 2/3*o**2 - 2/3*o + h.
2*o*(o - 1)/3
Factor 1/4*v**3 + 1/2*v**2 - 5/4*v - 3/2.
(v - 2)*(v + 1)*(v + 3)/4
Let d(c) be the third derivative of c**9/302400 + c**8/33600 + c**7/8400 + c**6/3600 - c**5/6 + 3*c**2. Let s(x) be the third derivative of d(x). Factor s(f).
(f + 1)**3/5
Determine y so that -27/2*y**3 - 20/3*y - 39/2*y**2 - 2/3 = 0.
-1, -2/9
Let b(i) be the third derivative of -i**8/1176 + 2*i**7/735 - i**5/105 + i**4/84 + 3*i**2 + 6. Determine j so that b(j) = 0.
-1, 0, 1
Suppose 4*a = 2*w - 44 + 6, 83 = 2*w + 5*a. Suppose 85 = 5*q - 5*r, -q - 2*r + 1 = -19. Find x such that w - 2 + 23*x**2 - 20*x**2 - q*x = 0.
3
Factor 20 - 8*p**2 + 8*p**2 - 22*p + 2*p**2.
2*(p - 10)*(p - 1)
Let t(k) be the second derivative of -7*k**6/60 - 23*k**5/40 + k**4/24 + 23*k**3/12 + 3*k**2/2 - k - 47. Suppose t(i) = 0. Calculate i.
-3, -1, -2/7, 1
Let d(v) = -v**3 + 5*v**2 + 4*v + 13. Let z be d(6). Suppose 1 = -8*h + z. Factor 1/6*f**4 - 1/6*f - 1/6*f**2 + 1/6*f**3 + h.
f*(f - 1)*(f + 1)**2/6
Let r(v) = 242*v**2 + 3*v + 3. Let i be r(-1). Let p = i - 1206/5. Suppose -2/5*q**2 + p*q + 2/5 - 4/5*q**3 = 0. Calculate q.
-1, -1/2, 1
Determine o, given that 0*o**2 - 22/3*o + 2/3*o**5 + 4*o**4 - 4 + 20/3*o**3 = 0.
-3, -2, -1, 1
Let r(q) be the first derivative of 0*q**3 - 2*q**2 + q**4 - 2*q + 7 + 2/5*q**5. Factor r(c).
2*(c - 1)*(c + 1)**3
Let y be 10/225*56/(-3)*(-120)/32. What is l in -2/9*l**2 + y*l - 98/9 = 0?
7
Let m(h) = 12*h**2 + 24*h. Let l(n) be the second derivative of -2*n**4/3 - 8*n**3/3 + 5*n. Let p(c) = 8*l(c) + 5*m(c). Factor p(s).
-4*s*(s + 2)
Let o(y) be the second derivative of -y**6/10 + 27*y**4/4 + 25*y**3 + 36*y**2 - 12*y - 7. Suppos