1/16*d**2 + 0*d**3 + 4 + 0*d. Find k such that u(k) = 0.
-1, 0, 1
Let o be -2 + -6*54/(-4). Determine y, given that -107*y + o*y - 20*y**3 + 1 - 5 - 44*y**2 = 0.
-1, -1/5
Let y(c) = -20*c**2 - 32*c. Let z(s) = 7*s**2 + 11*s. Let r(o) = -o - 13. Let l be r(-5). Let d(n) = l*z(n) - 3*y(n). Factor d(m).
4*m*(m + 2)
Suppose -6*r + 17 + 61 = 0. Suppose 49*i**2 - 3*i**5 + 24*i**4 - 73*i**2 - 2*i**3 - 8*i + r*i**5 = 0. What is i?
-2, -1, -2/5, 0, 1
Let h(b) be the third derivative of 7*b**5/15 - 554*b**4/3 + 632*b**3/3 + 416*b**2 + 1. Factor h(p).
4*(p - 158)*(7*p - 2)
Let u(t) be the first derivative of t**6/720 + t**5/120 - 3*t**2 + 1. Let o(l) be the second derivative of u(l). Find g such that o(g) = 0.
-3, 0
Let v(u) be the second derivative of u**7/42 + u**6/30 - 29*u**5/20 + 79*u**4/12 - 40*u**3/3 + 14*u**2 + 6*u + 6. Determine y, given that v(y) = 0.
-7, 1, 2
Let d(k) be the third derivative of 0 + 1/12*k**5 + 6*k**2 + 0*k - 5/2*k**3 + 5/12*k**4. Let d(p) = 0. What is p?
-3, 1
Let j(h) be the third derivative of h**7/735 + h**6/140 - h**5/30 - 5*h**4/28 + 6*h**3/7 + 2*h**2 + 64. Factor j(k).
2*(k - 2)*(k - 1)*(k + 3)**2/7
Suppose 4*j - 57 = 5*q, q = 2 + 1. Factor 0*y**2 + j - 20 + 2*y**2.
2*(y - 1)*(y + 1)
Let v be -4 - (4 - -11) - -3. Let r = 11 + v. Let n(q) = -q**2. Let o(z) = 6*z**2. Let m(l) = r*n(l) - o(l). Factor m(k).
-k**2
Suppose -2*u + 2*m + 12 = -u, -4*u + 23 = -3*m. Factor 3*o**u + 15 + 9 - 9*o**2 + 20*o + 2*o**2.
-4*(o - 6)*(o + 1)
Let f be 1 + 1161/162 + (-8)/1. Find c such that -f - 1/3*c + 1/3*c**3 + 1/6*c**4 + 0*c**2 = 0.
-1, 1
Let i be 19 + (-2338)/210 + 3*4/(-18). Determine h so that -28/5*h - i*h**3 + 12*h**2 + 4/5 = 0.
1/3, 1
Let d = -6 - 24. Let j = d - -32. Factor 2*w**2 - 5*w**j - 2*w - 4 + w**2 + 4*w**2.
2*(w - 2)*(w + 1)
Let v be 230/(-92)*(-16)/20. Suppose -3*o - 1/5*o**3 + 9/5*o**v + 7/5 = 0. Calculate o.
1, 7
Let i(p) = -7*p**4 - 4*p**3 + 3*p**2 + 6*p. Let f(m) = -m**4 - m**3 + m. Let r(h) = 6*f(h) - i(h). Factor r(l).
l**2*(l - 3)*(l + 1)
Let o = -6736/3 + 2252. Suppose -16/3*x + 16/3 - o*x**3 - 52/3*x**2 = 0. Calculate x.
-2, -1, 2/5
Let b(v) be the first derivative of v**3/21 - 15*v**2/14 - 16*v/7 - 410. What is d in b(d) = 0?
-1, 16
Let d(a) = a**3 + 4*a**2 + 6*a + 6. Let x be d(-2). Let c(n) be the second derivative of 2*n**x + 0 - 1/3*n**3 + 3*n - 1/2*n**4. Factor c(p).
-2*(p + 1)*(3*p - 2)
Let o = -1999/2 + 1000. Let o - 1/2*t - t**2 = 0. What is t?
-1, 1/2
Let t(j) be the second derivative of j**5/110 + 19*j**4/66 + 29*j**3/11 + 117*j**2/11 + 2*j + 54. Factor t(u).
2*(u + 3)**2*(u + 13)/11
Let c(h) = h**3 - 6*h**2 + 10*h + 3. Let o be c(4). Suppose -8*l = -o*l + 6. Let -260/7*m**l + 120/7*m - 54/7*m**4 - 16/7 + 30*m**3 = 0. Calculate m.
2/9, 2/3, 1, 2
Let m(z) be the first derivative of z**4/90 - z**3/15 - 2*z**2/3 + 32*z - 31. Let f(x) be the first derivative of m(x). Factor f(d).
2*(d - 5)*(d + 2)/15
Let y(n) be the first derivative of n**4/2 + 16*n**3/3 + 5*n**2 - 100*n - 202. Factor y(b).
2*(b - 2)*(b + 5)**2
Suppose 8 = -4*f + 24. Factor o + 4*o - 13*o - f + 6*o + 2*o**2.
2*(o - 2)*(o + 1)
Let x(p) be the third derivative of -p**5/12 - 5*p**4/8 + 25*p**3/3 - 30*p**2 + 1. Factor x(u).
-5*(u - 2)*(u + 5)
Suppose -s + 4*s = -5*p - 9, 0 = 3*p + 5*s + 15. Let w(z) be the third derivative of p*z - 1/20*z**5 + 5*z**2 - z**3 - 3/8*z**4 + 0. Let w(y) = 0. What is y?
-2, -1
Let u(t) be the second derivative of 19*t - 1/84*t**7 - 1/4*t**3 + 0 + 1/2*t**2 + 1/10*t**5 + 0*t**6 - 1/12*t**4. Find g such that u(g) = 0.
-2, -1, 1
Let d be (-2)/11 + 96/44. Suppose a = 8 - d. Factor -3*b**3 - a*b**4 + 0*b + 3*b - 3*b.
-3*b**3*(2*b + 1)
Let c be 232/261*(-6)/(-8). Find v, given that c*v + 4/3 - 2/3*v**2 = 0.
-1, 2
Let g = 162 - 161. Let h be (g - (-16)/(-12))*-6. Factor -3/2*c**h - 1/2*c + 1 + 1/2*c**3 + 1/2*c**4.
(c - 1)**2*(c + 1)*(c + 2)/2
Suppose -t = 4*t + 65. Let k = 13 + t. Factor -4*m**3 + k*m**3 - 3*m**4 + 3*m**5 + m**2 - 2*m**3 + 3*m + 5*m**2 - 3.
3*(m - 1)**3*(m + 1)**2
Suppose 0 = 2*w - 2*f - 22, 0*w + w = -4*f + 6. Suppose -7*n = -2*n - w. Factor 3/2 - 1/2*x**3 + 5/2*x + 1/2*x**n.
-(x - 3)*(x + 1)**2/2
Factor -2*n**4 - 3*n**4 - 75*n**2 - 850 + 412 + 65*n + 418 + 35*n**3.
-5*(n - 4)*(n - 1)**3
Suppose 0 = -4*a + 5*b + 17, -54*a = -56*a + 4*b + 10. Let z(i) be the first derivative of 8*i - 18*i**2 + 4 - 8/3*i**a + 9*i**4. Factor z(j).
4*(j - 1)*(j + 1)*(9*j - 2)
Let z(g) be the second derivative of g**7/360 - 13*g**6/540 + g**5/18 + g**4/9 - g**3/6 - 5*g. Let j(r) be the second derivative of z(r). What is k in j(k) = 0?
-2/7, 2
Let n = 87 + -93. Let f(u) = -4*u**3 + 15*u**2. Let o(x) = -4*x**3 + 14*x**2. Let q(s) = n*f(s) + 5*o(s). Find p, given that q(p) = 0.
0, 5
Let f(s) = 4*s**3 + 2*s**2 - 2*s. Let o be f(1). Let h(u) be the first derivative of 0*u + 3/5*u**5 + o + 0*u**3 + 0*u**4 + 0*u**2 - 1/2*u**6. Factor h(c).
-3*c**4*(c - 1)
Suppose 0 = -4*h - 5*o + 2, -8 + 2 = 3*o. Let y(j) be the second derivative of 0 + 2*j**5 - 6*j - 23/6*j**4 + 2*j**2 + 1/3*j**h. Suppose y(s) = 0. What is s?
-1/4, 2/5, 1
Let 0 + 8/9*b**3 + 0*b - 4/9*b**4 + 0*b**2 = 0. Calculate b.
0, 2
Let a(v) be the second derivative of -v**6/60 + 11*v**4/24 - 3*v**3/2 + 2*v**2 + 529*v. Factor a(k).
-(k - 2)*(k - 1)**2*(k + 4)/2
Let v(f) = 14*f + 494. Let m be v(-35). Solve -1/3*b**m - 7/3*b**3 - 8/3 - 6*b**2 - 20/3*b = 0 for b.
-2, -1
Let b(p) be the third derivative of 1/350*p**7 + 0 + 1/40*p**4 + 3/100*p**5 + 0*p**3 + 0*p + 3/200*p**6 - 29*p**2. Find x such that b(x) = 0.
-1, 0
Let u(i) be the third derivative of 2/105*i**7 - 1/6*i**5 + 0*i - 8*i**2 + 0 - 1/6*i**4 + 0*i**3 - 1/60*i**6. Factor u(w).
2*w*(w - 2)*(w + 1)*(2*w + 1)
Factor 40*c**2 + 0 + 0*c - 2/5*c**3.
-2*c**2*(c - 100)/5
Let h(i) be the second derivative of -i**7/1540 + i**5/220 - 4*i**3/3 + 12*i. Let f(q) be the second derivative of h(q). Solve f(x) = 0.
-1, 0, 1
Let o(y) be the third derivative of 1/5*y**5 - 9*y**3 + 0 - 42*y**2 + 1/40*y**6 - 3/8*y**4 + 0*y. Determine j, given that o(j) = 0.
-3, 2
Let s be (3/(-6))/((-1)/4). Suppose 7*l**3 + s*l**4 + l**5 - 5*l - 3*l**5 + 11*l**4 - 12*l**4 + l**2 - 2 = 0. What is l?
-1, -1/2, 1, 2
Suppose 59*o - 80 - 244*o**3 + 495*o**2 + 35*o**4 - 169*o - 96*o**3 = 0. Calculate o.
-2/7, 1, 8
Let o be ((-6)/(-4))/((-2)/(-56)). Let n be ((-2)/7)/((-6)/o). Find q, given that n*q**5 - q**4 + 4*q**3 - 4*q**2 - 2 + 5*q**4 - 9*q + 3*q + 2*q**4 = 0.
-1, 1
Suppose 13*k - 8 = 17*k. Let a(h) = h**4 + 1. Let z(d) = 4*d**4 - 6*d**3 + 4*d**2 + 2. Let i(y) = k*a(y) + z(y). Factor i(l).
2*l**2*(l - 2)*(l - 1)
Let p = -1500 - -4504/3. Solve 8/3 - p*w**2 + 4/3*w = 0.
-1, 2
Suppose -23*z = -16*z - 14. Determine l so that 3*l**5 - 223*l**3 + 30*l**z + 12*l**5 + 25*l - 20*l**4 - 10 + 183*l**3 = 0.
-1, 1/3, 1, 2
Let p(f) be the second derivative of f**7/126 - f**6/9 + f**5/3 + 5*f**4/18 - 7*f**3/6 + 529*f. Let p(l) = 0. Calculate l.
-1, 0, 1, 3, 7
Let x(m) be the third derivative of -m**6/60 + 5*m**5/3 + m**4/12 - 50*m**3/3 - 6*m**2 + 2. Factor x(p).
-2*(p - 50)*(p - 1)*(p + 1)
Let n(z) be the third derivative of -z**6/360 - 11*z**5/180 - 5*z**4/9 - 8*z**3/3 - 2*z**2 + 14*z. Let n(b) = 0. Calculate b.
-4, -3
Factor 1928/3*d - 4/3*d**2 - 232324/3.
-4*(d - 241)**2/3
Suppose -5*c + c + 15 = 5*h, 0 = -2*h + 6. Let a = -6549/5 + 1310. Determine f so that c + a*f**3 + 2/5*f**2 + 1/5*f = 0.
-1, 0
Let l(n) = -15*n**2 + 4*n - 4. Let b be l(1). Let a be (-2 - 1) + b*10/(-25). Factor -2/7*k + 2/7*k**a - 2/7*k**2 + 2/7*k**4 + 0.
2*k*(k - 1)*(k + 1)**2/7
Let m be (-96)/(-2) + (-2)/2. Let v = 1 + 1. Let -47*g**2 + 6*g - v*g**3 - 4 + m*g**2 = 0. Calculate g.
-2, 1
Suppose 1094 = 14*y + 1052. Let d(s) be the third derivative of -1/480*s**5 + 0 + 1/48*s**y + 0*s + 0*s**4 - 12*s**2. Let d(w) = 0. What is w?
-1, 1
Let i(z) be the first derivative of -5*z**3/3 + 21*z**2/2 - 18*z + 39. Find o such that i(o) = 0.
6/5, 3
Let o be (-208)/520*(-1)/4. Factor -1/10*t - 1/10*t**4 + 0 + 1/10*t**3 + o*t**2.
-t*(t - 1)**2*(t + 1)/10
Let s be (4/(-21))/(150/(-35) + 4)*4. Factor -14/3*f**3 + s*f - 8*f**2 + 0.
-2*f*(f + 2)*(7*f - 2)/3
Let a(w) be the third derivative of 2*w**7/21 + 11*w**6/24 - 33*w**5/4 + 85*w**4/3 - 70*w**3/3 + 75*w**2 + 2*w. Suppose a(f) = 0. Calculate f.
-7, 1/4, 2
Let v(p