a be 1*2*3*(-5)/(-5). Let t be (-3)/9 - (-2)/a. Factor 4/5*u - 2/5*u**2 + t.
-2*u*(u - 2)/5
Suppose -96*o + 144 - 3/2*o**3 + 21*o**2 = 0. Calculate o.
4, 6
Let k(b) = 3*b**4 + 43*b**3 + 2*b**2 - 48*b. Let c(y) = -2*y**4 - 22*y**3 - y**2 + 25*y. Let u(r) = -10*c(r) - 6*k(r). Factor u(p).
2*p*(p - 19)*(p - 1)*(p + 1)
Let g be 10/8 + 15/(-12). Suppose 7*l - 28 = -g*l. Suppose 1/2*v**l + 0 - 3/4*v**3 - 1/8*v - 1/8*v**5 + 1/2*v**2 = 0. Calculate v.
0, 1
What is i in -12*i**3 - 164*i**2 - 2 + 2 - 6*i + 137*i**2 = 0?
-2, -1/4, 0
Let s = 30/5747 + 17181/11494. Find o, given that 0 + 0*o + 3/8*o**3 + s*o**4 + 9/8*o**5 + 0*o**2 = 0.
-1, -1/3, 0
Let a(y) = -y**3 + 5*y**2 - 7*y + 14. Let l be a(4). Suppose 0 = j - 5*j. Let j*n - l*n**4 + 4*n**2 - n**5 + n - 2*n**2 = 0. What is n?
-1, 0, 1
Let q = -255292/2385 - 76/477. Let g = 108 + q. Let 0 - g*o**3 + 0*o + 2/5*o**2 + 2/5*o**4 = 0. What is o?
0, 1
Factor 1/2*n**2 + 1/8*n**3 + 1/8*n - 3/4.
(n - 1)*(n + 2)*(n + 3)/8
Let k(g) be the second derivative of 3/8*g**3 + 3/80*g**5 + 0 + 37*g + 1/4*g**4 + 0*g**2. Solve k(a) = 0.
-3, -1, 0
Let g be -1*(0/2)/(7 + -8). Suppose 4*d + 0*y - 21 = -3*y, 3 = 4*d - 3*y. Let 3*j**4 - 2*j**4 - 8*j**d + 3*j**4 + 4*j**2 + g*j**2 = 0. What is j?
0, 1
Let v(f) = 2*f**4 - 48*f**3 - 78*f**2 + 116*f - 8. Let p(k) = 5*k**4 - 97*k**3 - 157*k**2 + 231*k - 18. Let y(n) = -4*p(n) + 9*v(n). Let y(h) = 0. What is h?
-20, -3, 0, 1
Let a(b) = 21*b**3 + 270*b**2 + 627*b + 378. Let x(i) = 6*i**3 + 77*i**2 + 179*i + 108. Let r(f) = -5*a(f) + 18*x(f). Let r(o) = 0. What is o?
-9, -2, -1
Suppose 11*n = -0*n + 77. Determine k so that n + 20*k + 5 + 0 + 2*k**2 - 6*k = 0.
-6, -1
Let k be ((-4)/3)/((-2)/3). Let f(z) = -10*z + 33. Let n be f(3). Suppose v**2 + 6*v**3 - n*v**k - 20*v**3 - 2*v**2 = 0. Calculate v.
-2/7, 0
Factor 0 + 42*s**2 - 85/2*s + 1/2*s**3.
s*(s - 1)*(s + 85)/2
Let v = 111395/382228 + -71/6132. Let d = -5/51 + v. Let 0*f + 0 + d*f**2 = 0. Calculate f.
0
Factor 0 + 24/5*m**3 + 0*m - 4/5*m**4 - 32/5*m**2.
-4*m**2*(m - 4)*(m - 2)/5
Let m(b) = -b**4 - b**3 - 1. Let k be (-1 + -2 + -3)/1. Let a(q) = -q**5 - 10*q**4 - 7*q**3 + 14*q**2 + 20*q + 2. Let i(t) = k*m(t) + a(t). Factor i(d).
-(d - 2)*(d + 1)**2*(d + 2)**2
Let w = -2 - -2. Let r = 5 + w. What is a in 0 + 3/4*a**2 + 1/4*a - 3/4*a**4 - 1/2*a**r + 1/4*a**3 = 0?
-1, -1/2, 0, 1
Let k(i) be the third derivative of 1/2*i**4 - 4/3*i**3 + 0*i + 0 - 1/10*i**5 - i**2 + 1/120*i**6. Solve k(n) = 0.
2
Let b be (0/12 - -1)/((-1)/(-3)). Find c, given that -8/5*c + 0*c**2 + 0 + 2/5*c**b = 0.
-2, 0, 2
Let c(p) = -2*p**2 + 1 - 36*p - 16 + 8*p**2. Let o(i) = -i**2 + 5*i + 2. Let m(x) = 2*c(x) + 15*o(x). Suppose m(u) = 0. Calculate u.
0, 1
Let j be (-6 - 429/(-65))*2. Suppose -j*n**2 - 4/5*n - 2/5*n**3 + 0 = 0. Calculate n.
-2, -1, 0
Let b be ((-6)/(-4))/((-77)/(8470/(-132))). Let -2*w**2 - w + b*w**3 + 0 = 0. Calculate w.
-2/5, 0, 2
Let p = 11 - 23. Let l be 1*3/4 - 231/p. Solve 5/2*s - 1/4 + 8*s**5 + l*s**3 - 10*s**2 - 20*s**4 = 0 for s.
1/2
Let l = -246 + 252. Let i(d) be the second derivative of 0*d**3 + 2*d + 0*d**4 + 0*d**2 + 2/5*d**l + 2/5*d**5 + 2/21*d**7 + 0. Factor i(z).
4*z**3*(z + 1)*(z + 2)
Let y(r) = -9*r + 26. Let x be y(14). Let t = x + 502/5. Find a such that 0 - 6/5*a + t*a**2 = 0.
0, 3
Let c(u) = u**2 + 6*u + 10. Let a be c(-3). Solve -h**2 - 1 - 3*h**2 + h + a = 0.
0, 1/4
Let a(t) = 2*t**2 + 16*t + 5. Let j be a(-8). Factor 13*z**3 - 2*z**4 - 18*z**3 + 0*z**4 + 7*z**4 + j*z - 5*z**2.
5*z*(z - 1)**2*(z + 1)
Let b(o) = o + 7. Let g be b(-6). Suppose g = -3*w + 7. Suppose 1 - w*s**2 + 0*s**2 + s**4 + 0*s**2 = 0. What is s?
-1, 1
Let q(w) be the second derivative of 5*w**7/42 - 2*w**6/3 + 3*w**5/4 - 8*w + 5. Factor q(s).
5*s**3*(s - 3)*(s - 1)
Factor 3/2*r**4 + 500/3 - 1/6*r**5 + 7/6*r**3 + 25*r - 205/6*r**2.
-(r - 5)**3*(r + 2)*(r + 4)/6
Let n(p) be the second derivative of 2*p**7/147 - 16*p**6/105 + 24*p**5/35 - 32*p**4/21 + 32*p**3/21 + 5*p + 7. Determine t, given that n(t) = 0.
0, 2
Let c(u) be the second derivative of u**5/270 + u**4/36 + u**2 - u. Let d(o) be the first derivative of c(o). What is t in d(t) = 0?
-3, 0
Let y(d) be the first derivative of -d**8/84 - 2*d**7/35 + 4*d**5/15 - 2*d**2 + 7. Let z(a) be the second derivative of y(a). Factor z(w).
-4*w**2*(w - 1)*(w + 2)**2
Let o(u) be the second derivative of 2*u**6/105 - 23*u**5/35 + 80*u**4/21 - 152*u**3/21 + 7*u - 2. Factor o(x).
4*x*(x - 19)*(x - 2)**2/7
Let g be 1/2*3846/21 + -2. Let o = g - 89. Determine h, given that -4/7*h + 0 + o*h**2 = 0.
0, 1
Let r be (106/132 - (-56 - -55)) + (-2)/12. What is d in 0 + r*d - 6/11*d**2 = 0?
0, 3
Let y be 13 + 0 + (-3)/3. Let j = -1344 + 1362. Determine q, given that -7 + 3*q**3 + 25*q**2 - y*q + 1 - j - 19*q**2 = 0.
-2, 2
Let m(l) = 2*l - 9. Let t be m(6). Suppose 60 = 6*k + 24*k. Factor n**2 - t*n**2 - n**3 - 3*n + k*n.
-n*(n + 1)**2
Let f(b) = -b**2 + 5*b + 18. Let t be f(7). Let m be (t*(-3)/6)/(4 - 8). Suppose 0 - 1/2*w**2 - m*w = 0. Calculate w.
-1, 0
Let n(z) be the third derivative of 2/3*z**4 + 0 - 19*z**2 - 1/30*z**6 + 0*z**3 + 0*z + 0*z**5. Factor n(r).
-4*r*(r - 2)*(r + 2)
Let j(o) be the second derivative of 5*o**4/24 + 65*o**3/2 + 532*o. Factor j(d).
5*d*(d + 78)/2
Let l(y) be the first derivative of -y**4/3 + 8*y**3/3 - 6*y**2 - 10*y - 7. Let v(g) be the first derivative of l(g). Solve v(q) = 0 for q.
1, 3
Suppose 5*b = -25, -22 + 32 = -4*j - 2*b. Let g(l) be the third derivative of -2/15*l**3 + j*l + 0 - 1/20*l**4 - 5*l**2 - 1/150*l**5. Factor g(u).
-2*(u + 1)*(u + 2)/5
Suppose 28104 + 4*f**2 - 64*f - 28104 = 0. What is f?
0, 16
Suppose -4*c + 2*y = -0*y - 0*y, 0 = 4*y. Let o(a) be the second derivative of c*a**3 + 1/3*a**4 - a + 0*a**2 + 0. Solve o(s) = 0 for s.
0
Suppose -2*u**2 - 705 + 69 - 160*u - 644 - 3*u**2 = 0. What is u?
-16
Factor c**2 + 15*c + 539*c**3 - 175*c**3 - 179*c**3 - 175*c**3 - 26*c**2.
5*c*(c - 1)*(2*c - 3)
Solve 352/7*o**2 + 4/7*o + 0 - 356/7*o**3 = 0 for o.
-1/89, 0, 1
Factor 62*n**2 - 280 - 190*n**2 + n**3 + 54*n**2 + 284*n.
(n - 70)*(n - 2)**2
Suppose 4*s - 29 = -9. Factor s*d**2 + 2*d - 2*d**2 - 5*d**2 + 4*d**2 - 12.
2*(d - 2)*(d + 3)
Suppose -5*p - 28 = -7*p. Let 12*j - 4*j**3 + p - 4 - 6*j**2 + 2*j**4 - 2 - 4*j = 0. What is j?
-1, 2
Let f = -2902/3 + 968. Factor -8/9 - f*b**2 - 16/9*b.
-2*(b + 2)*(3*b + 2)/9
Let n be -4 + 110/10 + (416/(-20))/8. Factor 8/5 + 24/5*d + 6/5*d**3 + n*d**2.
2*(d + 1)*(d + 2)*(3*d + 2)/5
Let b(w) be the third derivative of w**7/490 - w**6/40 - 9*w**5/140 + w**4/8 + 4*w**3/7 - 327*w**2. Determine d, given that b(d) = 0.
-1, 1, 8
Let i(p) = -p**2 + p + 9. Let v be i(0). Suppose 0 = 6*n - 55 + 55. Solve -3 + n*l**2 + 9*l + 19*l**2 - 4*l**2 - 12*l**4 - v*l**3 = 0.
-1, 1/4, 1
Let g be (-1)/4 - (-15)/12. Let a be ((-4)/(-1))/(g - -1). Find l, given that -10 + 12*l**3 + 58 + 11*l**5 + 12*l**3 - 48*l - 2*l**5 + 39*l**4 - 72*l**a = 0.
-2, 2/3, 1
Suppose -29 = -4*q - 25, 4*s - 5 = 3*q. Factor -1/3*v**5 + v + v**4 - 2/3*v**3 - 1/3 - 2/3*v**s.
-(v - 1)**4*(v + 1)/3
Let b(z) be the third derivative of z**7/42 + 17*z**6/12 - 3*z**5 - 85*z**4/12 + 175*z**3/6 + 218*z**2. Determine o, given that b(o) = 0.
-35, -1, 1
Let d(q) = -4*q**2 + 3*q - 2. Let c be d(2). Let w be ((-15)/10)/(-3 + (-27)/c). Find s, given that 0*s + 2*s**3 + 2/3*s**2 + 0 + 2/3*s**5 + w*s**4 = 0.
-1, 0
Let g be 440/(-1920) - 1/(-4). Let c(z) be the second derivative of -1/2*z**2 + 0 + 1/6*z**3 + 15*z - g*z**4. Factor c(h).
-(h - 2)**2/4
Let t(j) = -2*j**3 + 26*j**2 + 25*j + 44. Let h be t(14). Let n(x) be the first derivative of -6 + x**3 - 5/2*x**h - 2*x. Determine m, given that n(m) = 0.
-1/3, 2
Let q(m) = -900*m**2 - 846*m - 199. Let t(o) = -2700*o**2 - 2536*o - 596. Let z(i) = -8*q(i) + 3*t(i). Suppose z(j) = 0. Calculate j.
-7/15
Let t(d) = d**2 - 4*d + 3. Let p be t(4). Let q be 4/(44/(-25)) + p. Find y such that -26/11*y**2 + 24/11*y - q + 12/11*y**3 - 2/11*y**4 = 0.
1, 2
Let j = -771 + 773. Let s(n) be the second derivative of -2*n**j + 3*n + 0 + 1/4*n**4 + 0*n**3 + 1/20*n**5. Factor s(m).
(m - 1)*(m + 2)**2
Solve 52015*l + 53045 + 289*l**3 - 133*l**3 - 1025*l**2 - 151*l**3 = 0.
-1, 103
Let i(w) be the second derivative of -7/30*w**3 - 33*w + 0 + 3/5*w**2 + 1/60*w**4. Factor i(b).
(b - 6)*(b -