 - 16 = 0. Let s(m) = -3*m**4 + 6*m**3 + 3*m - 3. Let c(v) = i*s(v) + 3*k(v). Factor c(p).
3*p**3*(p - 1)
Let h(m) be the first derivative of 26 + 2/21*m**3 + 0*m - 3/14*m**4 - 1/21*m**6 + 6/35*m**5 + 0*m**2. Factor h(z).
-2*z**2*(z - 1)**3/7
Let b(i) be the third derivative of 0 + 0*i + 11/120*i**5 - 16*i**2 + 13/240*i**6 - 1/3*i**3 - 5/672*i**8 - 1/6*i**4 - 1/60*i**7. What is l in b(l) = 0?
-2, -1, -2/5, 1
Suppose 2*j - 2*b = -j + 20, -1 = b. Let a(o) be the first derivative of 1/3*o**3 + o - j - o**2. Find y, given that a(y) = 0.
1
Factor 2/5*s**2 + 136/5*s + 2312/5.
2*(s + 34)**2/5
What is w in 2/7*w**5 + 0 - 12/7*w**2 + 0*w - 2/7*w**3 + 12/7*w**4 = 0?
-6, -1, 0, 1
Let x = 47 + -42. Suppose -2*c + 5*c + 14 = 5*r, x*r = -4*c + 28. What is y in -9/4*y + 9/4*y**3 + 3/2 - 3/4*y**2 - 3/4*y**r = 0?
-1, 1, 2
Let m(d) be the third derivative of d**8/16128 + d**7/4032 - d**6/288 + 2*d**5/15 + 16*d**2. Let u(v) be the third derivative of m(v). What is s in u(s) = 0?
-2, 1
Factor 1/3*s**3 + 0 - 2/3*s**2 + 0*s + 1/3*s**4.
s**2*(s - 1)*(s + 2)/3
Suppose 8*q - 3*q = 0. Let r = -1961/2 - -982. Find c, given that q + r*c**2 + 0*c - 3*c**3 + 3/2*c**4 = 0.
0, 1
Let d(h) be the second derivative of -6*h**2 + 12*h - 2*h**3 + 0 - 1/4*h**4. Let d(x) = 0. What is x?
-2
Factor -12/7*p**3 + 4/7*p**2 + 0 + 12/7*p - 4/7*p**4.
-4*p*(p - 1)*(p + 1)*(p + 3)/7
Let x(p) = p**2 - 9*p + 7. Let r be x(8). Let d be 5 - (0 - (-3 - r)). Determine w so that -63/2*w**4 + 30*w**3 + 9/2*w**2 - d*w + 0 = 0.
-1/3, 0, 2/7, 1
Let v = 226/65 + -40/13. Let 0 + 0*y**2 + 0*y + v*y**3 = 0. What is y?
0
Let h(t) be the first derivative of -3*t**5/10 - 15*t**4/2 - 99*t**3/2 + 15*t**2 + 150*t + 95. Find k, given that h(k) = 0.
-10, -1, 1
Factor 11*z**2 - 11 - 1/2*z + 1/2*z**3.
(z - 1)*(z + 1)*(z + 22)/2
Suppose 15 = -u + 475*n - 480*n, 0 = 4*u - 3*n - 9. What is x in 2/7*x**3 - 8/7 + 6/7*x**2 + u*x = 0?
-2, 1
Let m(h) be the first derivative of -h**4/20 - 14*h**3/5 - 48*h**2 - 160*h - 168. Suppose m(s) = 0. Calculate s.
-20, -2
Let s(n) be the first derivative of 4/9*n**3 + 16/3*n + 10/3*n**2 - 38. Factor s(u).
4*(u + 1)*(u + 4)/3
Let j(n) be the second derivative of -11/10*n**3 - 9/50*n**5 + 0 + 1/50*n**6 - 7/10*n**4 - 9/10*n**2 + 1/70*n**7 + 26*n. Determine p so that j(p) = 0.
-1, 3
Let g(h) = h - 15. Let t be g(19). Suppose -1 = -t*r - 1. Factor r - 1/4*c**3 + 3/2*c**2 - 9/4*c.
-c*(c - 3)**2/4
Let r(s) be the third derivative of -s**8/784 - s**7/70 - 9*s**6/140 - 11*s**5/70 - 13*s**4/56 - 3*s**3/14 + 721*s**2. Solve r(a) = 0.
-3, -1
Suppose 43*h + 35 = 36*h. Let k be 1*(-2)/(h - -3)*2. Let -1/3*n - 1/6*n**k + 1/2 = 0. What is n?
-3, 1
Suppose -5*w = -0*b - b + 22, 0 = -2*b - 2*w - 4. Solve b*s**2 + 6*s**4 - 3*s**3 + 2*s**5 - s**3 + 10*s**3 = 0 for s.
-1, 0
Let x be (2 - 18/7) + 4/6 + 0. What is a in -2/3*a + 10/21*a**2 - x*a**3 + 2/7 = 0?
1, 3
Let y(i) be the second derivative of -1/15*i**5 + 0*i**2 - 2/9*i**3 - 5*i + 0 + 2/9*i**4. Find q such that y(q) = 0.
0, 1
Let a(n) = 0 - n**3 + n**2 + 2*n + 6 - 10. Let i be a(-2). Factor -1/3*k**3 + 0 + 1/6*k**2 + 0*k + 1/6*k**i.
k**2*(k - 1)**2/6
Let t be 939/(-572) - (3 + -5). Let a = -9/44 + t. Factor a*w**3 + 0 + 4/13*w**2 + 2/13*w.
2*w*(w + 1)**2/13
Let m(k) be the third derivative of -k**5/390 + 3*k**4/52 - 14*k**3/39 - 32*k**2. Suppose m(w) = 0. Calculate w.
2, 7
Suppose 2*h = -3*w - 5, 3*w + 2 = w. Let n be (0 - 0)/((h - -2) + 1). Factor -2/3*q**4 + n*q + 2/3*q**3 + 0*q**2 + 0.
-2*q**3*(q - 1)/3
Let l = 1017 - 1008. Let a(v) be the second derivative of -6*v**2 + 1/4*v**4 + l*v + 0 - 3/2*v**3. Factor a(x).
3*(x - 4)*(x + 1)
Suppose 0*m = -2*n - 4*m + 6, n - 5 = -4*m. Let c be ((-64)/(-60))/(n + 4/(-5)). Factor 1274/3*p**4 + 0 + 686/3*p**5 + 184/3*p**2 + c*p + 252*p**3.
2*p*(p + 1)*(7*p + 2)**3/3
Let t = -57 - -97. Find q, given that 221 - 96 + t + 80*q + 5*q**2 + 155 = 0.
-8
Let l(y) = 185*y**2 - 935*y + 2380. Let x(p) = 14*p**2 - 72*p + 183. Let m(q) = 3*l(q) - 40*x(q). Determine a so that m(a) = 0.
3, 12
Let u(n) be the third derivative of 3*n**7/49 - 3*n**6/70 - n**5/42 + n**4/42 + 234*n**2. Suppose u(v) = 0. Calculate v.
-1/3, 0, 1/3, 2/5
Let r = 94 - 46. Let q = r + -29. Factor -2*t + t**2 - q + 19.
t*(t - 2)
Suppose 4*o**2 + 18/11 + 48/11*o + 16/11*o**3 + 2/11*o**4 = 0. Calculate o.
-3, -1
Let r(x) be the first derivative of -1/3*x**2 + 1/18*x**4 + 0*x**3 + 8 + 2*x. Let i(q) be the first derivative of r(q). Suppose i(s) = 0. What is s?
-1, 1
Let d be 701*3*(-6)/72. Let r = d - -176. Solve -1/4 + r*n**4 - 1/2*n**2 - 1/4*n**5 - 1/2*n**3 + 3/4*n = 0 for n.
-1, 1
Factor 7225/3 + 2522*w**2 + 14620/3*w + 172/3*w**3 + 1/3*w**4.
(w + 1)**2*(w + 85)**2/3
Let t(c) be the third derivative of -c**8/6720 - c**7/560 + c**6/60 + 11*c**5/60 - c**2. Let w(h) be the third derivative of t(h). Solve w(b) = 0 for b.
-4, 1
Factor -15*k**5 - 9 + 35*k**5 - 17*k**5 + 9*k**4 + 9.
3*k**4*(k + 3)
Let y(w) be the first derivative of w**5/360 - w**4/72 + w**3/36 + 13*w**2/2 + 30. Let c(b) be the second derivative of y(b). Suppose c(g) = 0. What is g?
1
Let d be 3 + (6279/(-28))/((-6)/4). Let s = 153 - d. Factor -s*f - 2*f**5 + 6*f**4 - 13/2*f**3 + 0 + 3*f**2.
-f*(f - 1)**2*(2*f - 1)**2/2
Let l(y) be the second derivative of y**5/4 - 25*y**4/12 + 5*y**3/2 + 45*y**2/2 - 31*y - 1. Factor l(w).
5*(w - 3)**2*(w + 1)
Let n(i) be the first derivative of 721/6*i**4 + 46 - 44/3*i**2 - 392/15*i**5 - 32/3*i + 176/3*i**3. Suppose n(h) = 0. Calculate h.
-2/7, 1/4, 4
Suppose -24 + 15*z**3 + 14*z**3 + 6*z**4 + 2*z**5 - 61*z**3 + 10*z**3 - 64*z + 12*z**3 - 54*z**2 = 0. Calculate z.
-2, -1, 3
Find z such that 4 + 1/4*z**3 - z**2 - z = 0.
-2, 2, 4
Let m(c) be the first derivative of -c**3/4 - 39*c**2/4 - 90. Determine u, given that m(u) = 0.
-26, 0
Let i(b) be the third derivative of b**8/6720 - b**7/630 + b**6/240 + b**4/6 + 16*b**2. Let a(d) be the second derivative of i(d). Factor a(v).
v*(v - 3)*(v - 1)
Let n = 411 + -408. Let q(h) be the second derivative of 7*h + 0 - 1/51*h**n + 1/255*h**6 - 3/170*h**5 + 0*h**2 + 1/34*h**4. Determine l, given that q(l) = 0.
0, 1
Let h(c) be the third derivative of c**6/90 + 2*c**5/15 + c**4/2 + 4*c**3/3 + 3*c**2. Let u(w) be the first derivative of h(w). Let u(d) = 0. Calculate d.
-3, -1
Let v be (2/1)/1*6/3. Let w be (-95)/(-30) + -2 + 0. Factor 5*j**v + 1/3 - 25/3*j**3 - w*j**5 - 5/2*j + 20/3*j**2.
-(j - 1)**4*(7*j - 2)/6
Let w be (-33)/((-77)/56 - -1). Let j = 90 - w. Factor 0 + 8/3*u + 4/3*u**j.
4*u*(u + 2)/3
Suppose -r = 4*u - 14, -3*u = u - r - 10. Suppose -i = -u*i + 8. Let l(t) = t**2 + t + 1. Let x(j) = -6*j**2 - 2*j - 4. Let c(y) = i*l(y) + x(y). Factor c(o).
-2*o*(o - 1)
Suppose -i - 3 = 3*n, 62*n + 9 = 5*i + 65*n. Factor 0*h + 0 + 2*h**5 - 4/3*h**i + 2/3*h**4 + 0*h**2.
2*h**3*(h + 1)*(3*h - 2)/3
Factor -19*z + 33*z + 26 - 10*z**2 + 16*z + 56*z + 10.
-2*(z - 9)*(5*z + 2)
Suppose 2/15*q**4 - 1088/15*q + 214/5*q**2 - 68/15*q**3 + 512/15 = 0. What is q?
1, 16
Suppose 72/11 + 2/11*d**2 - 48/11*d + 2/11*d**3 = 0. What is d?
-6, 2, 3
Suppose -3*w + 5*h + 11 = -18, -2*w + 2*h + 14 = 0. Factor -4/3*x**w + 0*x + 0 + 4/3*x**2.
-4*x**2*(x - 1)/3
Suppose c = 2*t + 3 - 2, 0 = -3*t - c + 11. Let 2*n**2 - 1 - 2*n**2 - 2*n**t + n**4 + 2 = 0. Calculate n.
-1, 1
Let q(d) be the third derivative of d**9/141120 + d**8/47040 - d**7/5880 + 2*d**5/15 + 4*d**2. Let f(o) be the third derivative of q(o). Factor f(l).
3*l*(l - 1)*(l + 2)/7
Suppose -268/5*l**2 - 4352/5*l + 4624/5 - 4/5*l**3 = 0. Calculate l.
-34, 1
Let s(j) be the third derivative of j**7/210 + 73*j**6/15 + 10658*j**5/5 + 1556068*j**4/3 + 227185928*j**3/3 + 221*j**2. Factor s(l).
(l + 146)**4
Find f, given that -3/2*f**5 + 10*f**4 + 0 - 24*f**3 + 24*f**2 - 8*f = 0.
0, 2/3, 2
Let r(j) be the first derivative of -10*j**6/3 - 32*j**5/5 - 3*j**4 - 35. Find c such that r(c) = 0.
-1, -3/5, 0
Let c(t) be the second derivative of -9*t**5/140 - 4*t**4/7 - 2*t**3 - 24*t**2/7 + 33*t. Factor c(v).
-3*(v + 2)**2*(3*v + 4)/7
Factor -3/5*t**5 - 9/5*t**4 - 9/5*t**3 + 0 - 3/5*t**2 + 0*t.
-3*t**2*(t + 1)**3/5
Let 20/11 - 18/11*x + 4/11*x**2 = 0. Calculate x.
2, 5/2
Let c(z) be the third derivative of -z**5/60 - 7*z**4/12 + z**3/2 + 6*z**2. Let g be c(-9). What is t in -6*t**2 + t**3 - 4*t**3 + g*t - 48*t = 