37*a**2 = 0. Calculate a.
-1, 1, 33
Let x(a) be the third derivative of a**5/20 - 5*a**4/4 + 25*a**3/2 + 4*a**2 - 10*a. What is l in x(l) = 0?
5
Let n(a) be the second derivative of -a**8/1344 + a**7/504 - 7*a**4/3 + 15*a. Let z(o) be the third derivative of n(o). Suppose z(q) = 0. Calculate q.
0, 1
What is k in 3*k**4 + k + 29*k - 48494 + 48503 + 36*k**2 + 18*k**3 = 0?
-3, -1
Factor 69/5*f + 3/5*f**3 - 42/5 - 6*f**2.
3*(f - 7)*(f - 2)*(f - 1)/5
Suppose -248 = -38*d - 96. Factor 1/2*h**5 - 1/2*h**d - h**3 + 0*h + 0*h**2 + 0.
h**3*(h - 2)*(h + 1)/2
Let u(j) be the first derivative of 14*j**5/55 + 25*j**4/22 + 8*j**3/11 + 975. Suppose u(n) = 0. What is n?
-3, -4/7, 0
Let t(s) = 28*s**5 - 63*s**4 - 105*s**3 + 200*s**2 - 60*s + 3. Let a(h) = h**5 - h**4 + 1. Let c(f) = 3*a(f) - t(f). Solve c(x) = 0 for x.
-2, 0, 2/5, 1, 3
Let t = 13521/7 + -1931. Let t*p**3 + 0*p**2 + 2/7 - 4/7*p - 2/7*p**4 = 0. What is p?
-1, 1
Factor 2/15*h**4 + 2/3*h**3 + 14/15*h**2 + 2/5*h + 0.
2*h*(h + 1)**2*(h + 3)/15
Let v be -1*1*-1*(5 - 2). Suppose z = i + 4*z + v, -4*z - 5 = i. Determine x, given that -6*x**2 - 3/2*x - 7/2*x**i + 1 = 0.
-1, 2/7
Factor -3/2*q**3 + 18816 - 669/2*q**2 - 18480*q.
-3*(q - 1)*(q + 112)**2/2
Determine s, given that 12*s**3 + 2*s**4 - 18711*s + 15*s**2 + 18717*s + s**4 = 0.
-2, -1, 0
Suppose 264 = 7*o + 4*o. Let r(j) = 7*j**2 - j + 2. Let n be r(2). Factor 2*a**3 + 39 + 96*a + o*a**2 + 61 + n.
2*(a + 4)**3
Let d(l) be the first derivative of -4*l**3/3 - 376*l**2 - 35344*l + 43. Determine k, given that d(k) = 0.
-94
Let k be (-70)/(-15) - 2/3. Suppose n**5 + 647*n**4 - 3*n**5 - 643*n**k = 0. Calculate n.
0, 2
Factor 5/6*w - 1 - 1/6*w**2.
-(w - 3)*(w - 2)/6
Let z = -4917 - -4920. Solve 0 - 6/7*t**2 + 3/7*t**z + 3/7*t = 0 for t.
0, 1
Suppose 148/3*l**2 - 4/3*l**5 + 0 - 104/3*l + 4*l**3 - 52/3*l**4 = 0. Calculate l.
-13, -2, 0, 1
Suppose -2/3*m**2 - 14/3*m - 4 = 0. Calculate m.
-6, -1
Suppose 80*p - 84*p + 24 = 0. Let x(g) be the first derivative of 4/39*g**3 - 2/13*g - 1/13*g**2 - p. Factor x(m).
2*(m - 1)*(2*m + 1)/13
Let y(i) = i + 1. Let q(d) = d**2. Let v(x) = -q(x) + y(x). Let h(g) = -2*g**3 + 8*g**2 - 52*g - 40. Let a(f) = 2*h(f) + 44*v(f). Find r such that a(r) = 0.
-3, -1
Let d(u) be the second derivative of -u**7/3780 + u**5/180 - u**4/3 - 4*u. Let j(a) be the third derivative of d(a). Let j(g) = 0. What is g?
-1, 1
Let v(p) = -18*p**4 + p**3 + 9*p**2 - p - 3. Let y(a) = -38*a**4 + a**3 + 17*a**2 - a - 7. Let f be (-2)/3 + 1/(24/88). Let m(u) = f*y(u) - 7*v(u). Factor m(t).
4*t*(t - 1)*(t + 1)*(3*t - 1)
Let a(h) be the first derivative of 0*h - 9/8*h**4 + 7/8*h**3 + 17/40*h**5 - 1/8*h**2 + 44. Factor a(b).
b*(b - 1)**2*(17*b - 2)/8
Suppose 0 = 5*r + 57 - 307. Suppose 27*q - r - 18*q + 5*q**2 + 36*q = 0. What is q?
-10, 1
Let o = 399 + -397. Let c(d) be the third derivative of 2/15*d**7 - 4*d**o - 13/120*d**6 + 0 - 13/60*d**5 + 0*d**3 + 0*d - 1/12*d**4. Factor c(y).
y*(y - 1)*(4*y + 1)*(7*y + 2)
Let m(g) be the first derivative of 0*g**4 + 1/9*g**3 - 3 + 6*g - 1/30*g**5 + 0*g**2. Let k(t) be the first derivative of m(t). Find z such that k(z) = 0.
-1, 0, 1
Let b(m) be the second derivative of m**6/540 - m**5/45 - 2*m**3 + 12*m. Let d(i) be the second derivative of b(i). Suppose d(j) = 0. What is j?
0, 4
Let d(m) be the second derivative of -1/3*m**4 + 8/3*m**3 + 8*m**2 + 0 - 1/5*m**5 - 13*m. Let d(n) = 0. Calculate n.
-2, -1, 2
Let h(z) be the first derivative of -2*z**6/3 + 8*z**5/5 + 5*z**4 - 8*z**3 + 160. Suppose h(s) = 0. What is s?
-2, 0, 1, 3
Factor 0 + 22/3*k - 2/15*k**2.
-2*k*(k - 55)/15
Factor 50*l + 0 - 5/2*l**3 + 20*l**2.
-5*l*(l - 10)*(l + 2)/2
Let g = -36411 + 36411. What is v in g + 16/9*v**3 + 2/9*v**2 + 14/9*v**4 + 0*v = 0?
-1, -1/7, 0
Let s(i) = -i**2 - 12*i + 34. Let f(x) = 7*x**2 + 70*x - 207. Let o(z) = -6*f(z) - 39*s(z). Factor o(v).
-3*(v - 14)*(v - 2)
Factor 14/3*o**2 + 40/3 - 48*o.
2*(o - 10)*(7*o - 2)/3
Suppose -35*y + 8 = -37*y. Let j be (y/10)/(-2) + 63/210. Factor 0 - j*l - 1/2*l**2.
-l*(l + 1)/2
Let k(i) = -8*i**3 + 6*i**2 + 5*i - 8. Let f be k(-4). Let m = -6376/11 + f. Solve -2*c**2 + 0 - m*c - 10/11*c**5 - 34/11*c**4 - 42/11*c**3 = 0 for c.
-1, -2/5, 0
Let q be (4/(-6))/((-41)/123*1). Factor 0 + 6/5*k - 14/5*k**3 + 8/5*k**q.
-2*k*(k - 1)*(7*k + 3)/5
Let k(v) = v**2 - 2*v - 137. Let m be k(-11). Suppose 14/3*s**3 - 2/3*s**4 + 0 + m*s - 10*s**2 = 0. Calculate s.
0, 1, 3
Let m = -4 + 9. Factor -m*q + q**2 - 1 + 24*q**3 - 36*q**3 + 17*q**3.
(q - 1)*(q + 1)*(5*q + 1)
Suppose -5*k + 11*v = 13*v - 28, 9 = v. Let 0*l**k - 4/5*l + 4/5*l**3 + 0 = 0. Calculate l.
-1, 0, 1
Let a(p) be the third derivative of p**8/112 - p**7/35 - 3*p**6/20 + 2*p**5/5 + 5*p**4/8 - 3*p**3 - 39*p**2. Solve a(o) = 0.
-2, -1, 1, 3
Suppose 5*l + 3*z - 4 - 44 = 0, 4*l + 3*z - 36 = 0. Factor -16*t + l*t**2 - 1 + 5 + 0.
4*(t - 1)*(3*t - 1)
Factor 40*q - 5 - 278*q - 292*q - 14045*q**2.
-5*(53*q + 1)**2
Let u(h) be the first derivative of 0*h**2 + 4/3*h**3 + 0*h - 29. Solve u(r) = 0 for r.
0
Let u(o) be the first derivative of o**4/26 + 53. Factor u(s).
2*s**3/13
Let b(u) be the second derivative of -u**5/30 - 31*u**4/108 - 29*u**3/54 - 2*u**2/9 + 37*u. Let b(z) = 0. What is z?
-4, -1, -1/6
Let d = 26 - 28. Let k be (d - -1)/(-1) - -49. Factor -6 - 2*t**3 - 8 - 2*t**3 + k - 12*t - 20*t**2.
-4*(t - 1)*(t + 3)**2
Suppose 73 = 2*z + 67. Find y, given that 20*y + 9*y**2 - 14*y**2 - z + 28 = 0.
-1, 5
Suppose 0 = -z - 0*z. Suppose 9*y = 8*y - t, 2*y + 4*t = z. Let y*w - 1/6*w**3 + 0 - 1/6*w**2 = 0. Calculate w.
-1, 0
Let d(r) be the third derivative of -1/672*r**8 - 5*r + 0*r**3 - 1/12*r**5 + 0 - 1/20*r**6 + 5*r**2 - 1/70*r**7 - 1/16*r**4. Let d(l) = 0. Calculate l.
-3, -1, 0
Let b be 7/(6552/6558) + (-5 - 2). Let i(q) be the third derivative of 0*q**3 - 1/260*q**6 - b*q**4 - 1/1365*q**7 + 0*q + 9*q**2 + 0 - 1/130*q**5. Factor i(a).
-2*a*(a + 1)**3/13
Find p such that -326 + 12*p**3 - 385 + 124*p**2 - 12*p - 8*p**4 + 207 + 4*p**4 = 0.
-3, 2, 7
Let v = -333 - -337. Let w(l) be the second derivative of 8/21*l**v + 5/7*l**3 + l + 3/70*l**5 + 0 - 18/7*l**2. Factor w(f).
2*(f + 3)**2*(3*f - 2)/7
Let k(c) be the first derivative of -c**4 - 88*c**3/3 - 242*c**2 + 465. Solve k(n) = 0.
-11, 0
Let x(n) be the third derivative of n**6/240 - n**5/120 - n**4/48 + n**3/12 + 121*n**2. Determine w, given that x(w) = 0.
-1, 1
Let x(c) = -c**3 + c**2 - c + 1. Let f be x(1). Let m(d) be the third derivative of 0*d - 1/270*d**6 + d**2 - 1/108*d**4 + 1/90*d**5 + 0 + f*d**3. Factor m(i).
-2*i*(i - 1)*(2*i - 1)/9
Let q(h) be the third derivative of 1/840*h**6 - 2/105*h**5 + 0*h - 5/21*h**3 + 17/168*h**4 - 15 + h**2. Factor q(n).
(n - 5)*(n - 2)*(n - 1)/7
Let q(w) be the third derivative of w**8/84 - w**7/21 + w**6/15 - w**5/30 + 50*w**2 + w. Factor q(o).
2*o**2*(o - 1)**2*(2*o - 1)
Let p(i) be the third derivative of -i**8/1512 - i**7/63 + 135*i**2. Factor p(d).
-2*d**4*(d + 15)/9
Let w = 26 + -25. Suppose -2*b - f + 4 = -w, -2*f - 6 = 0. Let 2*l**2 + b*l**4 - 5*l**4 - 4*l**3 + 0*l**3 + 3*l**4 = 0. What is l?
0, 1
Factor 0 - 3/8*m**4 - 35*m**2 + 25/2*m - 59/8*m**3.
-m*(m + 10)**2*(3*m - 1)/8
Suppose 4*k = -3*i + 1 + 30, 2*k - 2*i = 12. Suppose -k*s = -3*s - 12, 3*s - 17 = -4*o. Factor 1/3*f - 1/6 - 1/6*f**o.
-(f - 1)**2/6
Let z be 3 - (-2 - ((4 - 3) + -4)). Suppose -2*p + 6*p**2 + z*p**2 - 8 + 3*p - 4*p**3 + 3*p = 0. What is p?
-1, 1, 2
Let m(l) be the third derivative of l**6/24 - 79*l**5/12 + 2665*l**4/8 - 2535*l**3/2 + 106*l**2. Find u such that m(u) = 0.
1, 39
Let u(z) be the second derivative of -z**4/3 + 416*z**3/3 - 21632*z**2 + 453*z. Factor u(y).
-4*(y - 104)**2
Find l such that 3/5*l**2 + 0 + 3/5*l = 0.
-1, 0
Suppose -y - 4 = -7. Factor 5*g - 11*g + 2*g**2 + 6*g**3 - 2*g**4 + 2*g - 2*g**y.
-2*g*(g - 2)*(g - 1)*(g + 1)
Let h(g) be the third derivative of g**7/1260 + g**6/180 + g**5/180 - g**4/36 - g**3/12 - 9*g**2. Factor h(v).
(v - 1)*(v + 1)**2*(v + 3)/6
Let k(u) = u**3 + u**2 - 5*u + 2. Let m be k(2). Suppose m - 16 = -3*x. Factor 1/4*f**2 + 0 - 1/4*f - 1/4*f**x + 1/4*f**3.
-f*(f - 1)**2*(f + 1)/4
Factor j**3 + 35*j**2 - 39*j**2 - 8*j + 15*j**3 + 12*j**4.
4*j*(j + 1)**2*(3*j - 2)
Let k be (0 - 1)*7 + 5. Let z(b) = b. Let a(j) = -3*j**2 + 5*j. Let i(p) = k*z(p) 