tor v(u).
2*u*(u - 1)/11
Suppose -62 = -10*j - 42. Let d(t) be the second derivative of 0 + 2/15*t**3 - 3/50*t**5 + 0*t**j + 3*t + 1/30*t**4. Let d(h) = 0. Calculate h.
-2/3, 0, 1
Let l(z) be the third derivative of 81/2*z**3 + 0 + 1/20*z**5 + 0*z + 9/4*z**4 - 23*z**2. Factor l(g).
3*(g + 9)**2
Suppose 7*a = 2*a. Suppose 6*j - 3*j - 12 = a. Factor -8*h**3 - 12*h**2 - 2*h**4 + j*h**2 + 0*h**2 + 0*h**4.
-2*h**2*(h + 2)**2
Let f = 13/4 - 11/4. Let x(n) = 6*n**2 - 48*n - 49. Let b be x(-1). Suppose -1/4 + f*j**2 - 1/2*j**3 - 1/4*j**4 + 1/4*j**b + 1/4*j = 0. What is j?
-1, 1
Let i(s) be the second derivative of -9*s**6/10 - 21*s**5/10 - 13*s**4/36 + 14*s**3/9 - 2*s**2/3 + 327*s. Factor i(f).
-(f + 1)**2*(9*f - 2)**2/3
Let v(s) = -3*s**3 + 3*s. Suppose -d = -3*x - 0 - 9, 0 = -2*x + 5*d - 6. Let w(a) = -3*a**2 + 2*a**2 + 2 - 1. Let z(g) = x*w(g) - v(g). Let z(t) = 0. What is t?
-1, 1
Let n = 35 - 5. Suppose 3*u + 5*b - n = -2*u, 4*u - 2*b = 0. Factor 2*o**2 - u*o**2 + 4 + o**2 + 5*o.
(o + 1)*(o + 4)
Factor 440/3*q**2 + 54*q**4 - 16*q + 0 - 348*q**3.
2*q*(q - 6)*(9*q - 2)**2/3
Let u(r) be the first derivative of -r**5/30 + r**4/24 + r**3/18 - r**2/12 - 75. Factor u(q).
-q*(q - 1)**2*(q + 1)/6
Let u = -7170 + 7172. Factor 8/3 - 2/3*v**2 + u*v.
-2*(v - 4)*(v + 1)/3
Factor 8 + 248/7*q - 18/7*q**2.
-2*(q - 14)*(9*q + 2)/7
Let s = 36034/22515 - 2/4503. Factor -8*j - s - 18/5*j**2.
-2*(j + 2)*(9*j + 2)/5
Suppose 11*w - 24 = -w. Factor 69*q**2 - 2 + w + 8*q - 73*q**2.
-4*q*(q - 2)
Let a(h) be the first derivative of 1/50*h**5 + 1/200*h**6 + 0*h + 10/3*h**3 + 0*h**2 + 1/40*h**4 + 2. Let u(t) be the third derivative of a(t). Factor u(s).
3*(s + 1)*(3*s + 1)/5
Suppose -56 = 30*c - 34*c. Suppose c*j + 6 = 16*j. Solve -1/4 + 1/4*w**4 - 1/2*w**j + 1/2*w + 0*w**2 = 0.
-1, 1
Let x(a) be the third derivative of -a**7/735 + a**6/210 - a**5/210 - 3*a**2. Factor x(o).
-2*o**2*(o - 1)**2/7
Let s = 4/17 - -446/561. Let v = s + -4/11. Factor -2/3*a**3 + 0 - 2/9*a**4 - v*a**2 - 2/9*a.
-2*a*(a + 1)**3/9
Factor 1/2*n + 0 + 0*n**2 - 3/2*n**3 + n**4.
n*(n - 1)**2*(2*n + 1)/2
Let m(w) be the third derivative of -7/8*w**4 + 0*w + 3/2*w**3 - 13*w**2 + 1/4*w**5 + 0 - 1/40*w**6. What is t in m(t) = 0?
1, 3
Let d be (-2320)/87*(-6)/4. Solve d + 30*q + 8*q - q**2 - 2*q - 3*q**2 = 0.
-1, 10
Let i be -21 - (12/(-3) + 0). Let d(y) = -y - 14. Let l be d(i). Factor -12*a**l + 5*a**2 - 5*a**5 + 24*a**3 - 5*a**4 - 7*a**3.
-5*a**2*(a - 1)*(a + 1)**2
Let s = 159 - 179. Let h be 2/s*2475/(-66). Factor -5/2*p**4 + 5*p**2 + 0 + h*p**3 - 5*p - 5/4*p**5.
-5*p*(p - 1)**2*(p + 2)**2/4
Let s(w) be the third derivative of w**5/12 + 35*w**4/24 - 84*w**2. Factor s(f).
5*f*(f + 7)
Let d be (-2)/(-30)*(-27)/(-9). Let q(r) be the first derivative of 2/15*r**3 - 2/25*r**5 + 0*r + d*r**2 - 1/10*r**4 + 2. Find x, given that q(x) = 0.
-1, 0, 1
Suppose -3*w + 25 = 5*a, 5*w - 4*a = -a - 15. Let q(d) be the first derivative of -1/6*d**6 - 1/3*d**3 + 1/4*d**4 - 3 + 1/5*d**5 + w*d**2 + 0*d. Factor q(z).
-z**2*(z - 1)**2*(z + 1)
Let t(w) be the third derivative of 0 + 0*w**4 + 32*w**2 + 1/15*w**5 - 8/3*w**3 + 0*w. Factor t(n).
4*(n - 2)*(n + 2)
Let f(m) be the second derivative of 8/5*m**5 + 0 + 7*m + 2/5*m**6 + 0*m**3 + 2*m**4 - 2*m**2. Factor f(n).
4*(n + 1)**3*(3*n - 1)
Let g(h) be the third derivative of 5*h**8/8 + 1391*h**7/140 + 1219*h**6/80 + 91*h**5/10 + 9*h**4/4 + h**2 - 17. Find k such that g(k) = 0.
-9, -2/5, -2/7, -1/4, 0
Let -2/5*y**2 - 6272/5 - 224/5*y = 0. What is y?
-56
Factor -18*q - 2913 - 173*q - 126*q - 4*q**2 - 43*q - 5187.
-4*(q + 45)**2
Let v(z) = 14*z**2 + 22*z. Let x(y) = -4*y**2 - y + 5*y**2 - 4*y**2 + 2*y**2. Let s(r) = v(r) + 10*x(r). Factor s(c).
4*c*(c + 3)
Factor -33*n - 7*n**2 - n**2 - n**2 + 6*n**2 + 36.
-3*(n - 1)*(n + 12)
Suppose -g = -a + g + 25, -48 = -4*a - 5*g. Solve -34*w + a*w + 14*w - 3*w**2 = 0.
-1, 0
Let y(o) = 34*o**4 + 54*o**3 + 30*o**2 + 10*o - 24. Let w(j) = -14*j**4 - 22*j**3 - 12*j**2 - 4*j + 10. Let h(q) = -12*w(q) - 5*y(q). Factor h(r).
-2*r*(r + 1)**3
Let p be 148/18 + (18 - (-4 + 30)). Let p*q**3 + 2/9*q + 0 + 4/9*q**2 = 0. Calculate q.
-1, 0
Suppose 2*x - 16 = 3*x - 5*r, 3*x - 2*r - 4 = 0. Suppose -7*y + x = -2*y + 3*u, -2*u = y + 2. Solve y*c**2 - 15 - c**4 + 0*c**2 + 14 + 0*c**4 = 0.
-1, 1
Factor -1/3*a**4 + 14/3*a**3 - 73/3*a**2 - 48 + 56*a.
-(a - 4)**2*(a - 3)**2/3
Let y(b) be the first derivative of -3*b**2/2 + 25*b + 1. Let i be y(7). Factor 2/3*t**i - 16/9*t**3 + 0*t + 4/3*t**2 - 2/9.
2*(t - 1)**3*(3*t + 1)/9
Let c(m) = 7*m - 5. Let r(z) = z - 1. Let n(a) = -6*c(a) + 39*r(a). Let k be n(-6). Factor 33*i**4 + 3*i**4 + 12*i**2 - 36*i**3 - k*i**4.
3*i**2*(3*i - 2)**2
Let s(k) be the second derivative of k**7/14 + 19*k**6/30 + 33*k**5/20 + 3*k**4/4 + 2*k + 15. Solve s(d) = 0 for d.
-3, -1/3, 0
Let m = -15861/5 - -89921/30. Let j = m - -175. Factor -j*d**2 + 0 + 1/2*d.
-d*(d - 3)/6
Suppose 5*w - 3*k + k = -54, 3*k = 6. Let p = -10 - w. Find o such that -13*o**2 + p*o**2 + 9*o**3 - 14*o**2 + 6*o**2 + 12 = 0.
-2/3, 1, 2
Let x(v) = -21*v**2 - 459*v. Let s(n) = -5*n**2 - 115*n. Let p(o) = -9*s(o) + 2*x(o). Factor p(c).
3*c*(c + 39)
Let k = -50 - -46. Let u = -2 - k. Factor -2/3*n - 2*n**u + 2/3*n**3 + 4/3 + 2/3*n**4.
2*(n - 1)**2*(n + 1)*(n + 2)/3
Suppose -8 - 7 = -5*l, -2*v = 2*l - 24. Suppose 39 = v*w + 3. Let -64/3*f**2 + 32/3*f + 16*f**w + 6*f**5 - 16/3*f**3 + 0 = 0. What is f?
-2, 0, 2/3
Let j(g) = -4*g. Let n be j(-1). Find d such that -13*d - 8 + 8*d + n*d**3 - 7*d = 0.
-1, 2
Suppose 20 = -4*v, 3*i + 3*v + 31 = 7*i. Factor 14*j**2 + 6 + 17*j + 1153*j**3 - j**5 - i*j**4 - 1153*j**3.
-(j - 2)*(j + 1)**3*(j + 3)
Let f(m) be the first derivative of 34 - 245/3*m**3 + 0*m**2 + 20*m. Solve f(i) = 0.
-2/7, 2/7
Determine q so that -77*q**2 - 20 - 26*q - 54*q - 75*q**2 + 35*q**3 + 127*q**2 = 0.
-1, -2/7, 2
Let h(t) be the second derivative of t**7/18900 - t**6/900 + 2*t**5/225 - t**4/3 + 22*t. Let g(x) be the third derivative of h(x). Factor g(c).
2*(c - 4)*(c - 2)/15
Let p be 54/45 - (-2)/6*26/(-10). Factor -p*f**2 + 3/2*f**4 + 0 + 0*f + 7/6*f**3.
f**2*(f + 1)*(9*f - 2)/6
Determine x, given that 104/7*x - 96/7 - 4/7*x**3 - 4/7*x**2 = 0.
-6, 1, 4
Factor 4*l**4 - 274*l**2 + 416*l**3 + 1176*l - 539*l**2 - 32*l**4 - 895*l**2.
-4*l*(l - 7)**2*(7*l - 6)
Let c = -299 + 2690/9. Let r = 31/36 + c. Factor 3/4*w**2 + 0*w - r.
3*(w - 1)*(w + 1)/4
Let g(i) be the third derivative of i**6/660 - i**5/110 - 3*i**4/44 - 5*i**3/33 + 341*i**2. Find z, given that g(z) = 0.
-1, 5
Let h be 120/(-96)*36/(-50). Let v(i) be the second derivative of -2*i - 2*i**3 + h*i**5 + 0 + 11/4*i**4 - 6*i**2. Factor v(y).
3*(y + 2)*(2*y + 1)*(3*y - 2)
Let x(z) = z**2 - 6*z + 5. Let d be x(5). Suppose d*g + 6 = g. Determine f so that 36 - 20*f**2 + 17*f + 4*f**3 - g*f + f = 0.
-1, 3
Let i(c) be the second derivative of 1/231*c**7 + 0*c**2 + 1/66*c**4 + 1/55*c**6 + 3/110*c**5 + 17*c + 0*c**3 + 0. Let i(h) = 0. What is h?
-1, 0
Determine j, given that -11*j**4 + 210*j**2 + 28*j**4 + 55*j**3 - 12*j**4 + 160 + 320*j = 0.
-4, -2, -1
Let f(y) be the second derivative of 5/18*y**4 + 1/30*y**5 - 28*y + 0*y**2 + 0 + 0*y**3. Suppose f(v) = 0. What is v?
-5, 0
Let g(o) = o**2 - 4*o + 7. Let j be g(3). Factor 9*a**2 + 21*a**2 - 4*a**j + 18*a + 14*a**3 + 9*a**4 - 3*a**4.
2*a*(a + 1)*(a + 3)**2
Let o(w) = 5*w**3 + 2*w**2 - 2. Let r be o(1). Factor r*t**3 + t + 12 + 1 + 10*t**2 - 6*t - 23.
5*(t - 1)*(t + 1)*(t + 2)
Suppose 74*t - 8 = -4*g + 69*t, -4*g + 8 = -4*t. Solve -2/3*n**3 - 8/3*n**g + 0 - 8/3*n = 0.
-2, 0
Let d be 189/35 + 4/(-10). Suppose 3*n**2 - 15*n**4 + 47*n**3 - 114*n**3 + 48*n - 56*n**3 + 12 + 75*n**d = 0. What is n?
-1, -2/5, 1
Factor 24*c**2 + 85*c**5 - 17*c**4 - 3*c**3 - 7*c**4 - 179*c**5 + 97*c**5.
3*c**2*(c - 8)*(c - 1)*(c + 1)
Let g(x) be the second derivative of x**5/170 + 67*x**4/102 + 385*x**3/17 + 1089*x**2/17 + 188*x. Solve g(q) = 0 for q.
-33, -1
Let y(q) be the second derivative of -q**4/48 + 17*q**3/12 - 289*q**2/8 + 155*q. Find a such that y(a) = 0.
17
Let n(h) = 3*h**4 + 2*h**3 - h**2 + 2*h - 2. Let v = 53 - 51. Let w(y) = -y**4 - y**3 - y + 1. Let c(r) = v*n(r) + 4*w(r). Let c(o) = 0. Calculate o.
-1, 0, 1
Let t = 44/3 + -29/2. Let d(v) be the first derivative of -1/18*v**3 - t*v**2 +