or p.
-2/3, -3/5, 13
Suppose 4*g - g = -9. Let v(t) = 95*t**2 + 840*t + 2940. Let w(k) = 8*k**2 + 70*k + 245. Let l(u) = g*v(u) + 35*w(u). Solve l(d) = 0.
-7
Let j(m) be the second derivative of -m**4/84 + 5*m**3/42 + 205*m. Let j(a) = 0. Calculate a.
0, 5
Let h(l) be the third derivative of 0*l**3 + 0*l**7 + 0*l**4 + 0 - 1/3192*l**8 + 8*l**2 + 0*l**6 + 0*l**5 + 0*l. Factor h(n).
-2*n**5/19
Find r such that 758/3*r**2 + 42*r**4 + 232/3*r + 8 + 292*r**3 = 0.
-6, -1/3, -2/7
Let o(a) = 2*a**4 - a**3 - a**2 - a + 1. Let p(g) = 4*g**4 + 12*g**3 - 24*g**2 + 4*g + 4. Let j(x) = 4*o(x) - p(x). Suppose j(w) = 0. What is w?
0, 1, 2
Let m(j) = -15*j**2 - j - 8. Let s(r) be the first derivative of -8*r**3/3 - 4*r - 4. Let h(f) = 6*m(f) - 11*s(f). Factor h(x).
-2*(x + 1)*(x + 2)
Let x(q) = -3*q**2 + 33*q + 3. Let t be x(11). Let k(s) be the third derivative of -3/20*s**5 + 0 + 6*s**2 + 0*s - 1/16*s**4 + 1/4*s**t. Factor k(f).
-3*(2*f + 1)*(3*f - 1)/2
Suppose -3*g = 0, 2*u + 2*g = 3*u + 14 - 18. Let o**4 + u*o + 6/5*o**2 - 8/5 - 17/5*o**3 = 0. Calculate o.
-1, 2/5, 2
Let s(r) be the third derivative of 0 + 6*r**2 + 0*r**3 + 0*r**4 + 3/8*r**5 + 1/8*r**6 + 0*r + 1/84*r**7. Factor s(b).
5*b**2*(b + 3)**2/2
Suppose -24*y + 4 = -2*b - 23*y, -2*b - 4*y = -36. Determine k, given that -2/7*k + 2/7*k**b + 0 = 0.
0, 1
Let p(h) be the first derivative of h**8/7560 + h**7/1890 - h**6/1620 - h**5/270 - 7*h**3/3 + 3. Let z(o) be the third derivative of p(o). Factor z(k).
2*k*(k - 1)*(k + 1)*(k + 2)/9
Let m(z) be the second derivative of 28*z + 0 - 4/5*z**2 - 1/10*z**4 + 13/15*z**3. Factor m(g).
-2*(g - 4)*(3*g - 1)/5
Let y(o) be the third derivative of 35*o**2 + 0 - 1/16*o**4 - 1/280*o**7 + 1/8*o**3 + 1/80*o**6 + 0*o + 0*o**5. Find t, given that y(t) = 0.
-1, 1
Suppose -r = 3*u - 8, 0*r = -2*r - u + 6. Let 10*c**2 + 6*c**2 + 3*c**3 + c**3 + 0*c**r = 0. What is c?
-4, 0
Let l be (-785)/(-4) - (0 + (-5)/(-20)). Let w be ((-777)/l + 4)/(2/8). Factor -2/7*q + w*q**2 + 0.
q*(q - 2)/7
Let f(g) be the third derivative of 0*g**3 + 1/40*g**4 + 5*g**2 + 0 + 1/50*g**5 + 1/200*g**6 + 0*g. Find m, given that f(m) = 0.
-1, 0
What is z in -7 + 13 + 12 + 15*z - 53*z**2 + 50*z**2 = 0?
-1, 6
Let q(d) be the third derivative of 0 + 1/357*d**7 + 24*d**2 + 1/1428*d**8 + 0*d**5 + 0*d**3 + 0*d**4 + 0*d + 1/510*d**6. Factor q(a).
2*a**3*(a + 2)*(2*a + 1)/17
Let r = -5365/7 + 767. Factor -10/7*c + 8/7*c**2 - 2/7*c**3 + r.
-2*(c - 2)*(c - 1)**2/7
Let g = 1499827/12 - 125149. Let w = -479/3 - g. Factor 0 - w*b**2 + 3/4*b.
-3*b*(5*b - 1)/4
Let r = 587 + -7051/12. Let w = r - -13/12. Suppose w*m - 2*m**4 + 2*m**2 + 0 - 1/2*m**3 = 0. Calculate m.
-1, -1/4, 0, 1
Let r(o) = o**2 + 19*o - 62. Let l be r(-22). Factor 0 - 2/7*b**l - 2/7*b + 2/7*b**2 + 2/7*b**3.
-2*b*(b - 1)**2*(b + 1)/7
Let t(d) = 3*d**3 - 12*d**2 + 17*d - 5. Let p(x) = -2*x + 2. Let c(w) = w - 1. Let z(a) = -5*c(a) - 2*p(a). Let h(u) = t(u) + 5*z(u). Factor h(l).
3*l*(l - 2)**2
Let g(v) be the third derivative of -v**7/525 - v**6/300 + v**5/150 + v**4/60 - v**2 + 55. Factor g(i).
-2*i*(i - 1)*(i + 1)**2/5
Let w(j) be the third derivative of -j**7/56 + 17*j**6/240 + j**5/15 - 47*j**2. Factor w(h).
-h**2*(3*h - 8)*(5*h + 2)/4
Let -95/3*m - 2/3*m**2 - 47/3 = 0. Calculate m.
-47, -1/2
Let x(z) be the third derivative of -z**8/6720 + z**7/560 - z**6/120 + 11*z**5/60 + 8*z**2. Let p(g) be the third derivative of x(g). Let p(j) = 0. Calculate j.
1, 2
Let n(q) be the first derivative of q**6/120 - q**5/60 - q**2/2 + 24. Let t(i) be the second derivative of n(i). Suppose t(u) = 0. Calculate u.
0, 1
Let v(s) be the third derivative of s**6/120 - 3*s**5/20 + 5*s**4/8 - 7*s**3/6 + 86*s**2. Solve v(k) = 0 for k.
1, 7
Factor 1272*k**3 + 26*k + 51*k - 1278*k**3 + 27*k**2 - 96 + 103*k.
-3*(k - 8)*(k + 4)*(2*k - 1)
Let b(k) = -2*k**2 - 14*k - 44. Let x(r) = 10*r**2 + 74*r + 220. Let o(l) = -14*b(l) - 3*x(l). Suppose o(p) = 0. What is p?
-11, -2
Let w(u) = -7*u**3 + 6*u + 7. Let o(s) = -s**3 + s + 1. Let q(v) = 6*o(v) - w(v). Let m(g) = 8*g**3 + 20*g**2 + 17*g. Let z(y) = -m(y) + 4*q(y). Factor z(k).
-(k + 4)*(2*k + 1)**2
Let o = 45 - 49. Let v be (-12)/24 + (-2)/o. Factor -1/5*n + v + 1/5*n**2.
n*(n - 1)/5
Suppose 0 = -3*f - 5*l + 12, 0*l - 20 = -5*f + l. Factor -5/2*n**3 + 0*n - 5*n**f + 0*n**2 - 5/2*n**5 + 0.
-5*n**3*(n + 1)**2/2
Let x(a) = a**2 + 25*a + 24. Let c be x(-24). Let f be (6 - 2) + c/(-6) - 2. Suppose 1/3 + 1/3*w**f + 2/3*w = 0. Calculate w.
-1
Let j(b) be the first derivative of -6*b**4 - 46*b**3/3 - 13*b**2 - 4*b - 109. Factor j(k).
-2*(k + 1)*(3*k + 2)*(4*k + 1)
Let u be 116/10 - (-2)/5. Solve 4*p - u*p + 88*p**2 - 8 - 90*p**2 = 0 for p.
-2
Let n(t) = 191*t - 191. Let u be n(1). Solve 0*c**2 - 2/5*c**3 + 0 + 6/5*c**4 - 4/5*c**5 + u*c = 0.
0, 1/2, 1
Let h(u) be the second derivative of 0 + 1/3*u**3 - u + 0*u**4 - 1/10*u**5 + 0*u**2. Find a such that h(a) = 0.
-1, 0, 1
Let i = 54 + -51. Let c(k) be the third derivative of 2*k**2 + 0 + 0*k + 1/180*k**5 + 1/18*k**i + 1/36*k**4. Factor c(v).
(v + 1)**2/3
Let w be (-2)/(-14) - 3790/70. Let j = -54 - w. Factor 6/13*n**2 + j*n + 8/13*n**3 + 0 + 2/13*n**4.
2*n**2*(n + 1)*(n + 3)/13
Let b be (-4)/(-1)*6/8. Suppose 0*c - b*t + 16 = 5*c, 3*c = -t + 8. Solve 26*h**c - 11*h**2 - 4*h**2 - 9*h**2 = 0.
0
Suppose 2*l - 5*m = 11 + 4, -2*m = 3*l + 25. Let b be (5 - 9)/(l - 9). Factor -2/7*d**3 + 0*d**2 + 0 + b*d.
-2*d*(d - 1)*(d + 1)/7
Let p(m) be the second derivative of m**2 + 0 + 1/6*m**3 + 20*m - 1/80*m**5 - 1/24*m**4. Factor p(o).
-(o - 2)*(o + 2)**2/4
Let l(u) be the first derivative of u**6/42 + 36*u**5/35 - u**4/14 - 24*u**3/7 + u**2/14 + 36*u/7 + 223. Solve l(d) = 0 for d.
-36, -1, 1
Let z(r) be the third derivative of -r**6/40 + 3*r**5/20 - 152*r**2. Factor z(v).
-3*v**2*(v - 3)
Let c(p) = -7*p**3 + 1. Let a(z) = 76*z**3 + z - 11. Let b(l) = -4*a(l) - 44*c(l). Solve b(h) = 0.
-1, 0, 1
Let n(c) be the second derivative of -8*c**7/147 - 2*c**6/7 + 16*c**5/35 + 53*c**4/21 + 12*c**3/7 - 16*c**2/7 + 21*c. Determine w so that n(w) = 0.
-4, -1, 1/4, 2
Let y(p) be the first derivative of p**3/3 - 45*p**2/2 + 164*p - 545. Factor y(c).
(c - 41)*(c - 4)
Let n(d) be the first derivative of 1/36*d**6 - 20 + 1/30*d**5 + 0*d**3 + 0*d - 1/12*d**4 + 0*d**2. Factor n(b).
b**3*(b - 1)*(b + 2)/6
Let p(q) = -q + 2. Let d be p(-1). Let b = d + 22. Factor b*l + 2*l**5 + 6*l**4 - 6*l**2 + 17*l + 2*l**3 - 46*l.
2*l*(l - 1)*(l + 1)**2*(l + 2)
Let -128/3*l - 424/3*l**3 - 28*l**4 + 0 + 6*l**5 - 144*l**2 = 0. What is l?
-2, -2/3, 0, 8
Let r = -327 + 4581/14. Let n(j) be the first derivative of 2 + 2/7*j**2 + 10/21*j**3 + r*j**4 + 0*j. Solve n(q) = 0 for q.
-1, -2/3, 0
Let x(d) be the third derivative of -d**8/1008 + 4*d**7/315 - 5*d**6/72 + 19*d**5/90 - 7*d**4/18 + 4*d**3/9 - 114*d**2. Let x(i) = 0. What is i?
1, 2
Suppose -10*i = 44*i + 40*i. Solve i - 2/9*z - 2/9*z**2 = 0 for z.
-1, 0
Let d be 38 + (-3 - 44/(-12))*6. Suppose n = -38 + d. What is f in 2/3*f**5 - 1/6*f + 3/2*f**3 + 0 - 11/6*f**n - 1/6*f**2 = 0?
-1/4, 0, 1
Let v = -92 + 139. Let w = v - 139/3. Let -w*k**3 + 0 + 2/3*k**2 + 2/9*k**4 - 2/9*k = 0. Calculate k.
0, 1
Let l = 2/87695 - -16135698/7980245. Let g = 30/13 - l. Solve 0 - g*f**2 + 0*f + 2/7*f**3 = 0 for f.
0, 1
Let q be (-12)/18*(-9)/3. Suppose 7*l = -4*c + 3*l + 8, 2*c - l + q = 0. Factor 3/7*j**5 - 1/7*j**2 + 5/7*j**4 + 1/7*j**3 + 0 + c*j.
j**2*(j + 1)**2*(3*j - 1)/7
Let a(r) be the second derivative of r**4/16 - 101*r**3/12 + 67*r**2/8 - 117*r. Find u such that a(u) = 0.
1/3, 67
Let z(s) = 5*s**3 + s**2 + s - 1. Let t be z(1). Suppose t = -2*i + 14. Factor -q**3 + 5*q - 3*q**i - q**2 + 4*q**4 - 4*q.
q*(q - 1)**2*(q + 1)
Suppose -2*j + 8*i - 4*i + 34 = 0, 3*j - 4*i - 43 = 0. Suppose 5*u + 3 = -b, 3*b = -4*u + 2*u - j. Let 3/5*v**2 + u + 6/5*v = 0. What is v?
-2, 0
Let t be (3 - -2 - (-20 + 20)) + (-9)/2. Factor 1/2 + 4/3*q - t*q**2.
-(q - 3)*(3*q + 1)/6
Let q = 96 + -66. Let s = -27 + q. Factor -3*x**2 - 3*x**3 - x**3 - 2*x**3 + s*x**3 + 6*x.
-3*x*(x - 1)*(x + 2)
Let k be 119/35 - (-6)/(-2). Determine l, given that -2/5*l**2 - k + 4/5*l = 0.
1
Let u be (4 - (1 - -7))*45/(-6). Let q be (-22)/33 - 2*(-13)/u. Factor q + 1/5*h**2 - 2/5*h.
(h - 1)**2/5
Suppose 4*r = 2*q - 40, 9 = q - 5*r - 23. Suppose -1