j + 2/21*j**2.
2*j**2*(j + 1)/21
Let q(x) be the first derivative of 5*x**3/12 - 1235*x**2/8 - 1245*x/2 + 533. Factor q(m).
5*(m - 249)*(m + 2)/4
Find w, given that -13/3*w**3 + w**4 + 20/3 + 8*w + 1/3*w**5 - 11/3*w**2 = 0.
-5, -1, 2
Let b(p) be the second derivative of p**6/30 - 133*p**4/12 + 78*p**3 - 9576*p. Factor b(d).
d*(d - 9)*(d - 4)*(d + 13)
Let c(d) be the third derivative of -d**5/36 + 58*d**4/9 - 184*d**3/9 - 3*d**2 + 4*d - 24. Factor c(b).
-(b - 92)*(5*b - 4)/3
Let i = 27798 - 27793. Factor 9/7*x - 1/7*x**i + 0 - 6/7*x**4 - 26/7*x**2 + 24/7*x**3.
-x*(x - 1)**3*(x + 9)/7
Let c(l) be the third derivative of 121/18*l**3 + 0*l + 3 - 11/6*l**4 + 1/5*l**5 + 2*l**2. Factor c(y).
(6*y - 11)**2/3
Let p(f) be the first derivative of 16/9*f**3 - 19/3*f**2 + 1/6*f**4 + 20/3*f - 104. Factor p(b).
2*(b - 1)**2*(b + 10)/3
Let i(r) = 6*r**3 - 26*r**2 - 52*r + 40. Let v(u) = -4*u**3 + 17*u**2 + 34*u - 27. Let o = -264 - -259. Let n(l) = o*i(l) - 8*v(l). Factor n(a).
2*(a - 4)*(a - 1)*(a + 2)
Suppose -346*c - 1469*c + 8558 + 13222 = 0. Find m such that 0 + 98*m + 8*m**4 - c*m**3 - 2/3*m**5 - 280/3*m**2 = 0.
-3, 0, 1, 7
Suppose 6*b - 34 = -11*b. Suppose -n - b*h - 1 + 5 = 0, 5*n + 4*h = 8. Determine p, given that -1/5*p**5 - 2/5*p**4 + 0 + 2/5*p**2 + 1/5*p + n*p**3 = 0.
-1, 0, 1
Let t = 32239/2 + -16117. Let g(k) be the second derivative of -22*k - 3*k**5 + 0*k**2 - 5/3*k**6 + 0 - t*k**4 - 5/6*k**3 - 5/14*k**7. Factor g(r).
-5*r*(r + 1)**3*(3*r + 1)
Let o(m) be the third derivative of -m**8/784 + m**7/210 + 73*m**6/840 - 31*m**5/420 - 5*m**4/12 + 4*m**3/7 - 2244*m**2. Let o(h) = 0. What is h?
-4, -1, 1/3, 1, 6
Let d(y) = 5 + 2 + 1 - 6 + 11*y. Let a be d(2). Factor -11 - a - 3*b**2 + 17 + 15*b.
-3*(b - 3)*(b - 2)
Suppose 4*g = -p + 5, 0 = 2*g + 4*p - 34633 + 34641. Factor -4/9 + 2/3*y - 2/9*y**g.
-2*(y - 2)*(y - 1)/9
Suppose 9*h - 6 = 12. Determine r, given that -6 + 39*r**h - 171*r**2 - 9*r**2 - 84*r + 42 - 21*r**3 = 0.
-6, -1, 2/7
Let v = 3776 + -3773. Let c = 337/196 + -1/196. Solve -c*p**2 + 0 + 3/7*p**v + 12/7*p = 0 for p.
0, 2
Let o(f) be the first derivative of f**3/3 + f**2/2 - 20*f - 2720. Let o(l) = 0. Calculate l.
-5, 4
Solve -892/5*v - 2/15*v**2 - 298374/5 = 0 for v.
-669
Let f = -139910 - -139914. What is t in -3*t**2 + f*t**3 - 25/2 - 20*t - 1/2*t**4 = 0?
-1, 5
Let t(x) = x**3 - 7*x**2 - 7*x + 85. Let g be t(5). Suppose g = 9*n + 1715 - 1742. Let k**2 - 7/8*k - 1/8*k**n + 0 = 0. What is k?
0, 1, 7
Let t be (1789810/130)/11 + 5. Let i = -1256 + t. Factor -6/13*v + i*v**2 + 0 - 2/13*v**3.
-2*v*(v - 3)*(v - 1)/13
Let y(p) be the first derivative of p**5/5 - 41*p**4/16 + 37*p**3/6 - 2*p**2 + 867. Factor y(w).
w*(w - 8)*(w - 2)*(4*w - 1)/4
Factor 35*m**3 + 363*m - 313*m + 21*m**2 + 17 + 17*m**2 - m**4 + 10*m**2 - 21*m**3.
-(m - 17)*(m + 1)**3
Factor 126*r + 8/19*r**3 + 2400/19*r**2 + 598/19.
2*(r + 299)*(2*r + 1)**2/19
Let m(a) be the first derivative of -a**6/1260 - 2*a**5/105 - 4*a**4/21 - 10*a**3/3 + 2*a**2 + 243. Let p(y) be the third derivative of m(y). Factor p(c).
-2*(c + 4)**2/7
Let c(m) = 4*m**4 + 38*m**3 + 34*m**2 - 6*m + 36. Let u(a) = -a**3 - a**2 + a - 6. Let d(r) = -c(r) - 6*u(r). Let d(z) = 0. Calculate z.
-7, -1, 0
Suppose 19 = -3*i - 2*s, 3*i - 6 = s + 2*s. Let x(z) = z + 5. Let p be x(i). Let 5*n + 5*n**2 - 6*n**p - 2*n**2 + 31*n - 108 = 0. Calculate n.
6
Suppose 53 - 28 = 5*f. Suppose 0 = -p - 0*s + 2*s + 5, f = p - 5*s. Factor -17*z**3 + 30*z**3 - 2*z**2 + p + 3*z - 3 - 17*z**3 + z**5.
(z - 2)*(z - 1)*(z + 1)**3
Determine z so that 683*z**2 - 978*z**2 + 242*z + 293*z**2 = 0.
0, 121
Let n(v) be the first derivative of 3*v**4/8 + 5*v**3/2 - 27*v**2/4 - 135*v/2 - 2514. Factor n(a).
3*(a - 3)*(a + 3)*(a + 5)/2
Solve -1/2*u - u**2 + 1/2*u**3 + 1 = 0 for u.
-1, 1, 2
Let k(f) be the second derivative of f**4/18 - 22*f**3/9 + 112*f**2/3 - 74*f - 17. Factor k(h).
2*(h - 14)*(h - 8)/3
What is q in -58563/8*q**2 - 1/8*q**4 - 121/2*q**3 + 121/2*q + 14641/2 = 0?
-242, -1, 1
Let l(h) be the second derivative of h**6/105 - 6*h**5/35 - 41*h**4/21 - 20*h**3/7 + 153*h**2/7 - 5986*h. Determine z, given that l(z) = 0.
-3, 1, 17
Let u(y) be the third derivative of -y**5/12 - 2015*y**4/4 - 2436135*y**3/2 - 3328*y**2. Find z such that u(z) = 0.
-1209
Factor -8*c - 1/4*c**2 - 48.
-(c + 8)*(c + 24)/4
Suppose -2643*h + 2835 = -1914 - 537. Find t, given that -4/5*t**h + 12/5*t - 8/5 = 0.
1, 2
Let i(g) = -4*g**4 - 19*g**3 + 37*g**2 + 29*g - 23. Let x(t) = -12*t**4 - 58*t**3 + 110*t**2 + 86*t - 70. Let a(o) = -14*i(o) + 5*x(o). Factor a(p).
-4*(p - 1)**2*(p + 1)*(p + 7)
Let i be (27 - 2)*((-408)/30 + 14). Let s be ((90/(-27))/i)/(10/(-6)). Factor -1/10*x**2 + s - 1/10*x.
-(x - 1)*(x + 2)/10
Suppose 39/2*h**2 + 2*h**3 - 39/2 - 2*h = 0. Calculate h.
-39/4, -1, 1
Let m(a) = -42*a**2 + 240*a + 74. Let y be m(6). Let s(w) be the first derivative of -1/4*w**4 + 2/3*w**3 + 0*w - 2/5*w**5 - 28 + 1/2*w**y. Factor s(l).
-l*(l - 1)*(l + 1)*(2*l + 1)
Let n be 1 - 0 - (-18 + 7). Suppose 0 = -3*s - 3*o + n, o - 2 = 4*s - 8. Factor 3*y**3 - 3*y**4 - 9*y**5 - y**s + 2 + 10*y**5 - 2.
y**2*(y - 1)**3
Determine f, given that 208/3*f**3 + 2/9*f**4 + 2249728/9*f + 0 + 21632/3*f**2 = 0.
-104, 0
Determine t, given that 9*t - 4*t**3 + 83*t - 322 + 24*t**2 + 166 + 20*t**2 + 24*t = 0.
-3, 1, 13
Factor 3/7*f**2 - 57/7*f + 102/7.
3*(f - 17)*(f - 2)/7
Let b(g) be the first derivative of 0*g**3 - 69 + 0*g**2 - 2/3*g**6 + 4*g**4 + 0*g**5 + 0*g. Factor b(i).
-4*i**3*(i - 2)*(i + 2)
Let n(v) be the second derivative of -v**5/12 - 17*v**4/6 + 14*v**3/3 - 11*v**2 + 29*v - 2. Let h(i) be the first derivative of n(i). Solve h(p) = 0.
-14, 2/5
Let c be -15 + (-2453)/(-165) + (-1 - 46/(-30)). Suppose 18/5*t + c*t**3 + 0 - 12/5*t**2 = 0. What is t?
0, 3
Let f(u) be the first derivative of 4*u**5/5 + 83*u**4 + 652*u**3/3 + 162*u**2 - 2010. Solve f(j) = 0.
-81, -1, 0
Let d(z) = z**4 + z**3 - 1. Let t(o) = -5*o**4 + 16*o**3 + 18*o**2 - 60*o + 23. Let m(c) = d(c) - t(c). Determine j so that m(j) = 0.
-2, 1/2, 2
Let u(a) = -9*a + 138. Suppose -4*i + 5*v = -75, 24 = i + 7*v - 10*v. Let g be u(i). Factor 3/2*j**g - 2*j - 5/2*j**2 + 2.
(j - 2)*(j + 1)*(3*j - 2)/2
Let n be ((-40)/((-5)/1))/1. Factor -3*d**4 - 72*d**2 + 88*d**2 - n*d**3 + d**5 + d**5 - d**4.
2*d**2*(d - 2)**2*(d + 2)
Let g = -16456 - -16458. Let k(j) be the second derivative of -1/70*j**5 + 0 + 1/7*j**4 - 17*j - 3/7*j**3 + 0*j**g. Let k(u) = 0. Calculate u.
0, 3
Let s be (-4425)/120 + 0 + 37. Factor s*k**2 + 7/4 - 15/8*k.
(k - 14)*(k - 1)/8
Let l be (20 + -10 - 1)/(4 - (-35)/28). Solve 2/7*b**2 + 2*b + l = 0.
-6, -1
Let a be (-2 - (-4 - 2)) + -1. Factor 84*k**4 + 6*k**a - 35*k + 11*k - 6 + 22 - 86*k**4 + 4*k**2.
-2*(k - 2)**2*(k - 1)*(k + 2)
Let u(l) = l**2 - 24*l + 114. Let r be u(12). Let s be (-4 - 6)/r*0. Determine t so that s*t + 1/3*t**3 - 5/3*t**2 + 0 = 0.
0, 5
Let x = 1830 + -1826. Let r(s) be the first derivative of -12/5*s**5 + 0*s + 4*s**3 + 4/3*s**6 - 4*s**4 - 12 + x*s**2. Suppose r(w) = 0. Calculate w.
-1, -1/2, 0, 1, 2
Determine j so that 457 + 116*j**3 + 3*j - 14*j**4 - 545 + 334*j**2 + 68*j**2 + 181*j = 0.
-2, -1, 2/7, 11
Let i(a) be the third derivative of -7 - 6*a**2 - 1/10*a**5 - 1/8*a**4 + 0*a - 1/120*a**6 + 5/3*a**3. Suppose i(j) = 0. What is j?
-5, -2, 1
Let l be ((-10 - -6) + -13)/(-1). Let k(u) be the second derivative of u**3 + 0 + 0*u**2 + 1/4*u**4 + l*u. Determine s, given that k(s) = 0.
-2, 0
Factor -61/4*l + 1/4*l**2 - 63/2.
(l - 63)*(l + 2)/4
Suppose -4*m - 9*m = 26*m - 14*m. Let l(a) be the third derivative of -13/84*a**4 - 2/7*a**3 - 4/105*a**5 + m - 4*a**2 + 0*a - 1/420*a**6. Factor l(s).
-2*(s + 1)**2*(s + 6)/7
Suppose 0*g - 2/5*g**4 + 64/5 + 18/5*g**3 - 44/5*g**2 = 0. Calculate g.
-1, 2, 4
Let f(o) = 7*o**4 - 34*o**3 - 5*o**2 - 28*o - 16. Let v(h) = -h**4 + 10*h**3 - h**2 + h + 1. Let w(m) = f(m) + 4*v(m). Let w(c) = 0. Calculate c.
-2, -1, 2
Let g(r) = -2*r - 2. Let n be g(-2). Suppose -n*c + 4 = -0. Suppose -v**3 + 4*v**2 + 2*v**2 - 3*v**3 - c*v**2 = 0. What is v?
0, 1
Let x(v) be the first derivative of 3*v**4/32 + 929*v**3/2 + 2589123*v**2/4 - 9340. Find q such that x(q) = 0.
-1858, 0
Let f = -492 - -494. Let r(w) = -w**3 + w**2 - w. Let v(t) = -8*t**3 + 150*t**2 - 236*t + 92. Let g(q) = f