y) be the second derivative of y + 0*y**3 + 0*y**2 + a*y**5 + 1/16*y**4 + 0. Suppose g(k) = 0. What is k?
-1, 0
Let g = -1/12 - -5/12. Let h = 3355/6 + -559. Let h*p**2 + 1/6*p - g = 0. What is p?
-2, 1
Let a(i) be the first derivative of 27*i**4/4 + 2*i**3/3 - i + 5. Let s be a(1). Factor -s*v**3 + 573*v + 8*v**2 - 573*v.
-4*v**2*(7*v - 2)
Let r be (-1880)/9870*3/((-9)/28). Factor -8/9*w - 1/9*w**2 - r.
-(w + 4)**2/9
Let d = 120 + -118. Suppose 6*c + 151*c**2 - 2*c**3 - 82*c**2 - 73*c**d = 0. Calculate c.
-3, 0, 1
Determine q, given that -340*q + 614*q**3 - 100 + 576*q**2 - 340*q**3 + 146*q**3 + 580*q**3 - 401*q**2 = 0.
-2/5, 5/8
Suppose -1/2*c**4 - 3/2*c**2 - 5/2*c**3 + 0 + 9/2*c = 0. What is c?
-3, 0, 1
Let q(y) = -y**2 + 3. Let f(r) = 12*r**2 - 243*r - 85. Let g(v) = f(v) + 5*q(v). Factor g(t).
(t - 35)*(7*t + 2)
Let l = -4814 - -4816. Determine p so that -3/2 - 1/4*p**l + 7/4*p = 0.
1, 6
Let b(k) = -k**2 - 5*k - 137. Let z be b(0). Let w = -271/2 - z. Factor -3/4*x**2 + 3/4*x + w.
-3*(x - 2)*(x + 1)/4
Factor -120*k + 16*k**2 - 12*k**3 + 108*k**2 + 5*k**3 + 5*k**4 - 38*k**3 + 6*k**2.
5*k*(k - 4)*(k - 3)*(k - 2)
Factor 4/3*c**3 + 12*c**2 + 0 - 88/3*c.
4*c*(c - 2)*(c + 11)/3
Factor 0 + 17 + 20*n + 2 + 5 - 44*n**2.
-4*(n - 1)*(11*n + 6)
Let m = -362/3 + 122. Let p(v) = -v**2 + 69*v + 220. Let s be p(-3). Factor -4/3 + 4/3*c + 4/3*c**5 - m*c**s + 8/3*c**2 - 8/3*c**3.
4*(c - 1)**3*(c + 1)**2/3
Let o(k) be the first derivative of k**6/27 - 2*k**5/9 - 5*k**4/18 + 50*k**3/27 + 40*k**2/9 + 32*k/9 + 265. Solve o(d) = 0.
-1, 4
Let o be (-1)/(-7)*-4*140/(-120). Let t(c) be the first derivative of o*c**3 - 5 + c**2 + 0*c. Factor t(s).
2*s*(s + 1)
Let u(r) be the third derivative of r**8/60480 - r**5/30 - 13*r**2. Let m(i) be the third derivative of u(i). What is l in m(l) = 0?
0
Let n(m) be the second derivative of -m**6/30 - 27*m**5/20 + 19*m**4/4 - 29*m**3/6 - 288*m. Factor n(g).
-g*(g - 1)**2*(g + 29)
Let g(f) be the third derivative of -9*f**2 - 1/30*f**6 + 1/6*f**4 + 0*f + 1/3*f**5 - 1/21*f**8 - 2/3*f**3 + 0 - 16/105*f**7. Factor g(r).
-4*(r + 1)**3*(2*r - 1)**2
Let p be (5 + 403/(-65))/((-81)/30). Find b such that 56/9*b**2 - 14/9*b**4 - 16/9*b + p*b**3 + 0 = 0.
-2, 0, 2/7, 2
Let n(l) = -241*l + 3619. Let h be n(15). Factor -14/3*v - 2/3*v**2 - h.
-2*(v + 1)*(v + 6)/3
Let m = 0 - -1. Let n(d) = 2*d**3 + 2*d**2 - 2*d - 2. Let j(y) = -y**2 - y - 1 + y**2 + y**3 + y**2. Let s(z) = m*j(z) - n(z). Factor s(x).
-(x - 1)*(x + 1)**2
Let q(n) = 20*n**2 - 188*n - 1184. Let t(b) = 7*b**2 - 63*b - 394. Let z(c) = -3*q(c) + 8*t(c). Factor z(f).
-4*(f - 20)*(f + 5)
Let d(q) = -q**3 + 23*q**2 - 5*q + 7. Let b be d(22). Factor b*w - 380*w - 5*w**3 + 4*w**3.
-w*(w - 1)*(w + 1)
Let l(u) be the third derivative of u**5/510 + u**4/204 + 543*u**2. Factor l(b).
2*b*(b + 1)/17
Let i = 227 - 151. Determine z, given that 20*z**2 + 48 + i*z + 22*z + 21*z + 9*z = 0.
-6, -2/5
Let g(y) be the second derivative of y**8/40320 + y**7/3024 + y**6/1440 - y**5/80 - 11*y**4/12 - 23*y. Let r(q) be the third derivative of g(q). Solve r(c) = 0.
-3, 1
Determine f so that 126*f**2 + 192 - 62*f**2 - 60*f**2 + 76*f = 0.
-16, -3
Let d be ((-9)/12*2)/(2/60). Let g = d - -227/5. Determine y so that 0*y + 4/5*y**2 - 2/5*y**4 + 0*y**3 - g = 0.
-1, 1
Let c(r) = -4*r**2 + 485*r - 14405. Let n(y) = -2*y**2 + 242*y - 7202. Let j(i) = 2*c(i) - 5*n(i). Suppose j(l) = 0. What is l?
60
Let f be (-6)/(-15) - ((-320)/75 + 4). Let -2/9*s**3 - 8/9 + f*s**2 + 0*s = 0. What is s?
-1, 2
Let k be (65/10 - 4)/((-1)/(-2)). Let g(f) = -5*f**2 - 10*f + 20. Let c(j) = 5*j**2 + 11*j - 20. Let w(m) = k*c(m) + 4*g(m). Solve w(i) = 0 for i.
-4, 1
Determine b, given that 3*b - 32*b + 36*b**3 - 26*b**5 + 30*b**5 - 28*b**2 + 28*b**4 - 11*b = 0.
-5, -2, -1, 0, 1
Let f(p) = -p**2 - 5*p - 2. Let c be f(-4). Solve 3*z**5 - c*z**5 - 2*z**2 + 0*z**5 - z + 2*z**4 + 0*z = 0 for z.
-1, 0, 1
Let f = 18 - 24. Let d(g) = 7*g**5 + 10*g**4 - 2*g**3 - 6*g - 6. Let y(w) = 6*w**5 + 9*w**4 - w**3 - 5*w - 5. Let b(l) = f*y(l) + 5*d(l). Solve b(v) = 0 for v.
-2, 0
Let h(x) be the first derivative of x**6/1080 - x**5/360 - x**4/36 + 14*x**3/3 + 19. Let q(s) be the third derivative of h(s). Factor q(p).
(p - 2)*(p + 1)/3
Let z(v) be the third derivative of 3/20*v**5 + 0*v**3 + 1/40*v**6 + 0 + 0*v - 1/4*v**4 - 3/70*v**7 + 1/112*v**8 + 13*v**2. Determine y so that z(y) = 0.
-1, 0, 1, 2
Let y(b) be the first derivative of -b**6/15 - 8*b**5/25 - b**4/2 - 4*b**3/15 - 338. Factor y(a).
-2*a**2*(a + 1)**2*(a + 2)/5
Suppose -5*a - 5*y + 80 = 0, -3*a + y + 8 = -2*a. Suppose -7*q + 9*q = a. Let -8*w**4 + 2*w**5 - q - 10*w - 3*w**2 + 8*w**3 + 7*w**2 + 10 = 0. What is w?
-1, 1, 2
Let y(l) be the third derivative of -l**7/1050 + l**6/100 + 7*l**5/60 + 2*l**4/5 + 2*l**3/3 + 333*l**2. Solve y(m) = 0.
-2, -1, 10
Factor -4/9*k**4 + 0 + 16/9*k - 4/3*k**3 + 0*k**2.
-4*k*(k - 1)*(k + 2)**2/9
Let 1/2*c**3 + 1/6*c**4 + 0 + 0*c**2 + 0*c = 0. Calculate c.
-3, 0
Let u(v) = -3 - 1 - 2 - v**2. Let m(z) = -109 + 60 + 47. Let l(s) = 7*m(s) - 2*u(s). Let l(k) = 0. Calculate k.
-1, 1
Let n(t) be the first derivative of 0*t + 14 + 4/3*t**3 - 1/2*t**4 + 0*t**2. Find c such that n(c) = 0.
0, 2
Let w be 3/((-14)/(-13) + -1). Suppose -4*y - s + w = 0, 5*s = -5*y + 66 - 21. Factor q**3 + 14*q + 7*q**3 + y*q**2 - 6*q**3 + 6.
2*(q + 1)**2*(q + 3)
Factor -3/5*f**3 - 36/5 + 48/5*f - 9/5*f**2.
-3*(f - 2)*(f - 1)*(f + 6)/5
Let f(o) = -o**2. Let g(h) = 12*h**2 - 8*h - 12. Let r(m) = -8*f(m) - g(m). Determine x so that r(x) = 0.
-1, 3
Let x(i) = -i**2 + 7*i + 46. Let g be x(11). Factor 7*u**g - 2*u - 246 - 2*u**3 - 2*u**3 + 245.
-(u - 1)**2*(4*u + 1)
Let x(c) be the third derivative of c**7/70 - c**6/4 + 21*c**5/20 + 5*c**4 - 50*c**3 - 107*c**2 - c. Determine g, given that x(g) = 0.
-2, 2, 5
Suppose -13*q = -802 + 776. Suppose -5*f = -11 - 4. Factor v**4 + 3*v**2 - v**4 + 0*v**q - f*v**4.
-3*v**2*(v - 1)*(v + 1)
Suppose 13*y - 45*y = 0. Let d(k) be the second derivative of -1/54*k**4 + 1/90*k**5 - 1/27*k**3 + y*k**2 + 12*k + 0 + 1/135*k**6. Find q, given that d(q) = 0.
-1, 0, 1
Let b(j) = -9*j**2 + 54*j. Let m(o) = -17*o**2 + 105*o. Let s(n) = 11*b(n) - 6*m(n). Determine h, given that s(h) = 0.
0, 12
Let w(v) be the first derivative of 2*v**3/3 + 9*v**2/2 + 4*v + 87. Factor w(g).
(g + 4)*(2*g + 1)
Let x = 7/499 - -1469/1996. Factor 0 + 1/2*s + 1/4*s**4 + 0*s**3 - x*s**2.
s*(s - 1)**2*(s + 2)/4
Factor 16000/9 + 40/3*q**2 + 800/3*q + 2/9*q**3.
2*(q + 20)**3/9
Let i(s) = -7*s**2 + 4*s + 5. Let d(v) = -v. Let m(t) = 6*t**2 + 3*t - 4. Let j(r) = -6*d(r) - m(r). Let g(q) = 5*i(q) - 6*j(q). Factor g(y).
(y + 1)**2
Factor 189 + 360*i + 3/7*i**4 - 120/7*i**3 + 1074/7*i**2.
3*(i - 21)**2*(i + 1)**2/7
Find g, given that -1109*g**3 - 20*g**2 + 32*g + 1137*g**3 + 2*g**4 - 42*g**2 = 0.
-16, 0, 1
Let u(z) be the third derivative of 0*z + 0 + 1/24*z**5 - 7/48*z**4 + 1/6*z**3 - 12*z**2. Factor u(h).
(h - 1)*(5*h - 2)/2
Let m(k) be the first derivative of -k**6/27 - 2*k**5/15 + k**4/9 + 8*k**3/9 + 8*k**2/9 - 463. Let m(u) = 0. What is u?
-2, -1, 0, 2
Let k(h) be the first derivative of -2*h**5/5 - 2*h**4 + 4*h**3/3 + 12*h**2 - 18*h - 259. Factor k(n).
-2*(n - 1)**2*(n + 3)**2
Let s = 679 - 2715/4. Let x(b) be the second derivative of 4*b + 0*b**2 + 0 + 5/6*b**4 - 5/2*b**3 + s*b**5. Factor x(m).
5*m*(m - 1)*(m + 3)
Let q(k) = k**2 + k - 5. Let b be q(-6). Factor -29*s + b*s**2 + s**4 + 19*s - 20*s**3 + 4*s**4.
5*s*(s - 2)*(s - 1)**2
Let i(h) be the third derivative of -5/156*h**6 + 0 - 3/26*h**5 + 0*h - 4/39*h**3 - 2/13*h**4 + 35*h**2. Factor i(f).
-2*(f + 1)*(5*f + 2)**2/13
Solve -2*w**5 + 3*w**5 - 48*w**2 + 4*w**5 + 21*w**4 - 2*w**5 - 30*w**3 = 0.
-8, -1, 0, 2
Let p(u) = 3*u + 2. Let w be p(0). Factor 5*n**3 - 1 + 10*n**2 - w + 3.
5*n**2*(n + 2)
Let k(o) be the second derivative of 0 + 1/140*o**5 + 1/42*o**4 - 8*o - 1/3*o**3 + 1/1260*o**6 + 0*o**2. Let d(t) be the second derivative of k(t). Factor d(n).
2*(n + 1)*(n + 2)/7
Let p = -3524 + 24740/7. Find i such that 3/7*i**3 - 48/7 - 27/7*i**2 + p*i = 0.
1, 4
Let m = 90 - 106. Let p be (0 + m/(-20))*5. Determine z so that -108/5*z**2 + 57/5*z + 1464/5*z**p - 399/5*z**3 - 6/5 - 1008/5*z**5 = 0.
-1/3, 1/4, 2/7, 1
Suppose 2*v = k + 47 + 141, -3*k = 4*v 