ivative of -o**6/300 + o**5/10 + 4*o**4/15 + o**2 + 216. Factor p(d).
-2*d*(d - 16)*(d + 1)/5
Factor 1/2*m + 0 - 1/2*m**2.
-m*(m - 1)/2
Let i(k) = -20*k**4 - 85*k**3 - 70*k**2 + 160*k. Let p(r) = 31*r**4 + 127*r**3 + 106*r**2 - 240*r. Let f(v) = -8*i(v) - 5*p(v). Let f(g) = 0. Calculate g.
-8, -2, 0, 1
Solve 51/5 + 4/5*o**3 + 256/5*o + 209/5*o**2 = 0.
-51, -1, -1/4
Let r be 0 + -61 + 2 + (-4)/1. Let v be 1/(-12)*7*18/r. Suppose 0*o**2 - v*o**3 + 0 + 1/6*o = 0. Calculate o.
-1, 0, 1
Let s(m) be the third derivative of m**8/84 - 46*m**7/105 + 28*m**6/5 - 64*m**5/3 - 256*m**4/3 + 5*m**2 + 4. Suppose s(y) = 0. Calculate y.
-1, 0, 8
Factor 3*h**4 + 3/2*h**5 - 9/2*h**3 - 6*h**2 + 6*h + 0.
3*h*(h - 1)**2*(h + 2)**2/2
Let u = -1959 + 1959. Solve u + 2/3*b - 1/3*b**2 = 0.
0, 2
Let v(p) = -6*p**2 - 14*p**2 + 2*p + 3*p + 15*p**2. Let n(c) = c. Let t(r) = -5*n(r) + v(r). Factor t(z).
-5*z**2
Let m be (2/(-5))/(8 - 501/60). Factor -m - 8/7*b - 2/7*b**2.
-2*(b + 2)**2/7
Let p(y) be the first derivative of -y**6/144 + 7*y**5/24 + 25*y**4/16 + 8*y**3/3 - 45. Let h(c) be the third derivative of p(c). Factor h(q).
-5*(q - 15)*(q + 1)/2
Let f(v) = -2*v**3 - 18*v**2 - 42*v - 30. Let l(c) = c. Let u(o) = f(o) - 4*l(o). Factor u(z).
-2*(z + 1)*(z + 3)*(z + 5)
Let s = 419 - 416. Let z(f) be the first derivative of -4 + 1/15*f**s + 1/5*f + 1/5*f**2. Factor z(y).
(y + 1)**2/5
Let h be (2 + -1 - (-181 + 181)) + 23/13. Find d, given that 4/13*d - 10/13*d**2 + 0 - h*d**3 = 0.
-1/2, 0, 2/9
Let c(j) = -2*j**4 + 145*j**3 + 380*j**2 + 191*j - 7. Let w(f) = f**4 - 50*f**3 - 127*f**2 - 64*f + 2. Let p(m) = 2*c(m) + 7*w(m). Factor p(d).
3*d*(d - 22)*(d + 1)**2
Let d be 6/21 + ((-988)/14)/2. Let b be -2 + (-62)/(-28) + (-10)/d. Factor -1/4*v + 5/4*v**3 - 1/4 + b*v**4 + 3/4*v**2.
(v + 1)**3*(2*v - 1)/4
Let u(a) be the first derivative of 2/5*a - 4/15*a**3 + 2/25*a**5 + 6 - 1/5*a**2 + 1/5*a**4 - 1/15*a**6. Suppose u(c) = 0. What is c?
-1, 1
Let z(s) be the first derivative of s**4/6 - 22*s**3/9 + 23*s**2/3 + 70*s/3 - 918. Solve z(q) = 0 for q.
-1, 5, 7
Let d(h) be the second derivative of 1452*h**4/5 + 88*h**3/5 + 2*h**2/5 + 198*h. Find r such that d(r) = 0.
-1/66
Find l, given that 4/3*l**5 - 1112/3*l - 764/3*l**3 - 1412/3*l**2 - 140/3*l**4 - 320/3 = 0.
-2, -1, 40
Suppose 3*r - r + 10 = 2*y, -5*y + 21 = -3*r. Let j be ((-1)/2)/(3/(-18)). What is x in -6*x**j - x**3 - 15*x**4 + 24*x**4 - y*x**2 + x**2 = 0?
-2/9, 0, 1
Let d be (-680)/510 + 38/6 + (-6)/2. Factor -4*g + d*g**3 + 16/3 - 22/3*g**2.
2*(g - 4)*(g + 1)*(3*g - 2)/3
Let j be 0*(3/(-5) + (-102)/255). Suppose -5/2*v**3 + 5 + 15/2*v + j*v**2 = 0. What is v?
-1, 2
Suppose 21*s = 24 + 81. Suppose u - 12 = -s*u. Factor 19/2*c**3 + 8*c + u + 25/2*c**2 + 7/2*c**4 + 1/2*c**5.
(c + 1)**3*(c + 2)**2/2
Factor 6 - 9 + 10*o - 9 + o**2 - 3*o**2.
-2*(o - 3)*(o - 2)
Factor 0 + 1/10*q**2 - 9/2*q.
q*(q - 45)/10
Let d(q) = -4*q**3 - q**2 - 2*q - 13. Let m be d(4). Let t = 295 + m. Suppose -3/5*p**3 + 0 - 12/5*p + 12/5*p**t = 0. What is p?
0, 2
Let p(b) be the second derivative of 1/5*b**2 - 12*b - 1/30*b**4 - 1/50*b**5 + 1/15*b**3 + 0. Factor p(y).
-2*(y - 1)*(y + 1)**2/5
Suppose 4*y = 3*y - 4*f + 35, 147 = 3*y - 2*f. Solve -46*l + 89*l - y*l + l**2 = 0.
0, 4
Let s = 35 - 33. Factor -3*k + 1 + 19*k**2 + 16*k**s - 44*k**2 - 5*k**3.
-(k + 1)**2*(5*k - 1)
Let h(b) be the second derivative of -1/30*b**4 + 0*b**3 - 3/100*b**5 + 0*b**2 - 1/150*b**6 + 0 - 10*b. What is n in h(n) = 0?
-2, -1, 0
Let v(x) be the third derivative of x**6/840 - x**5/280 - 5*x**3/3 + x**2. Let q(h) be the first derivative of v(h). Let q(o) = 0. Calculate o.
0, 1
Let d(i) be the second derivative of i**5/100 + i**4/30 - 2*i**3/3 + 12*i**2/5 - 35*i - 2. Let d(v) = 0. Calculate v.
-6, 2
Suppose -6*k + 26 = 5*x - 3*k, -x = -4*k + 4. Suppose -2*d + 2*i = -26 + 4, 4*d - 48 = 2*i. Factor 2*b**3 - x - 2*b**3 + d*b**4 - 8*b - 9*b**4 + 8*b**3.
4*(b - 1)*(b + 1)**3
Suppose -6*z = -5*z + 10. Let x be 12/9 + z/(-15). Find q such that q + 3*q**2 - 7*q + 3*q**2 + 3*q**x = 0.
0, 2/3
Let w = -32 + 37. Suppose -w*u = 10*u - 45. Suppose -2/7*g**2 + 2/7*g**4 + 0*g + 0*g**u + 0 = 0. What is g?
-1, 0, 1
Let b be (6/12*4/14)/(196/784). Factor 3/7*l + b - 1/7*l**2.
-(l - 4)*(l + 1)/7
Let w(b) be the second derivative of 0 - 20*b + 0*b**2 - 1/6*b**7 - 2/27*b**3 - 1/60*b**5 + 2/9*b**4 - 47/135*b**6. Solve w(c) = 0 for c.
-1, 0, 2/9, 2/7
Let x(q) = -20*q**4 + 31*q**3 + 11*q**2 - 40*q. Let n(f) = -5*f**4 + 8*f**3 + 3*f**2 - 10*f. Let c be 4 - (7 - 2)*-1. Let r(b) = c*n(b) - 2*x(b). Factor r(h).
-5*h*(h - 2)*(h - 1)*(h + 1)
Suppose 2*i + 3*p = 1509, 3*p + 1511 = 2*i + 8*p. Let x = i - 12783/17. Determine y, given that -2/17*y**2 - x - 12/17*y = 0.
-3
Let a(f) be the third derivative of -361*f**6/720 + 121*f**5/120 - f**4/72 - 2*f**2 - 75*f. Find h such that a(h) = 0.
0, 2/361, 1
Let t(a) = -2*a**4 + 2 + a**4 - 2 + 1. Let u(b) = 225*b**5 + 92*b**4 - 111*b**3 + 27*b**2 - 2*b - 7. Let g(k) = -21*t(k) - 3*u(k). Let g(d) = 0. Calculate d.
-1, 0, 1/5, 2/9
Suppose 4*c - 26 = -5*k, -4*k - 2*c + 28 = 3*c. Factor -15*m**2 + 19*m - 5*m**3 + 12*m**k + 6 + 11*m**2.
-(m - 3)*(m + 1)*(5*m + 2)
Let p = 3645 - 3645. Factor p + 2/11*k**4 + 2/11*k**3 - 2/11*k**2 - 2/11*k.
2*k*(k - 1)*(k + 1)**2/11
Suppose -y + 4 = -7*n + 4*n, -y + 4 = -4*n. Let -2/3*j + 0*j**2 + 2/3*j**3 + n = 0. What is j?
-1, 0, 1
Let k(x) = -308*x - 6*x**2 - 294 + 176*x - 422. Let y(t) = -2*t**2 - 44*t - 239. Let l(s) = -3*k(s) + 10*y(s). Factor l(a).
-2*(a + 11)**2
Suppose 35*i + 232 = 302. Find l such that -2/11 + 3/11*l - 1/11*l**i = 0.
1, 2
Let k(c) = -c**2 - 15*c - 14. Let v be k(-5). Let 19*p + 20*p - v*p - p**2 = 0. What is p?
0, 3
Suppose 4*g - 4 = 4. Suppose 5*z - 5*o = 35, -2*z - 6*o - 7 = -o. Determine p so that -z*p**4 - g*p**3 - 3*p**4 + 9*p**4 = 0.
0, 1
Let q(a) be the second derivative of 65*a**4/4 - 395*a**3/6 + 5*a**2 + 487*a. Determine v, given that q(v) = 0.
1/39, 2
Let w(q) = 8*q**2 - 336*q - 14117. Let n(i) = 3*i**2 - 168*i - 7058. Let u(d) = 5*n(d) - 2*w(d). Let u(v) = 0. Calculate v.
-84
Suppose 2*o - 12 = 4*y, 6*y + 6 = -5*o + 4*y. Factor 0 - 1/7*p**3 - 1/7*p**2 + o*p.
-p**2*(p + 1)/7
Let d(i) be the second derivative of 0 - 1/6*i**3 + 5/3*i**2 + 24*i - 1/36*i**4. Factor d(a).
-(a - 2)*(a + 5)/3
Let f(h) be the first derivative of h**7/140 + 3*h**6/40 + 3*h**5/10 + h**4/2 + 11*h**2/2 - 13. Let u(b) be the second derivative of f(b). Factor u(a).
3*a*(a + 2)**3/2
Let -690*h**2 + 371*h - 32*h**5 + 1 - 112*h**4 - 15*h - 35 - 22 - 98*h**2 + 664*h**3 = 0. What is h?
-7, 1/2, 2
Let g = -24131 + 24135. Let 0 - 5/4*o**2 + 1/4*o**g - 1/2*o**3 + 3/2*o = 0. Calculate o.
-2, 0, 1, 3
Let i(q) = 4*q**4 + 4*q**3 + 2*q**2 - q. Let w(j) = 3*j**2 + 490*j**4 + 2*j**2 + j**3 - 489*j**4 - 4*j**2. Let c(z) = -2*i(z) + 6*w(z). Solve c(a) = 0.
-1, 0, 1
Let a(u) be the second derivative of -u**6/900 - u**5/100 + 3*u**3/2 + 7*u. Let m(r) be the second derivative of a(r). Factor m(f).
-2*f*(f + 3)/5
Let y = -73 + 76. Let b(d) be the first derivative of 0*d**2 + 4 - 1/3*d + 1/9*d**y. Find j such that b(j) = 0.
-1, 1
Let d = -2 + 2. Let d - 2*t + 4 + 4*t**2 - 6*t = 0. Calculate t.
1
Determine d so that 2*d - 2*d**2 - 8 - 9*d - 4 - 3*d = 0.
-3, -2
Let t be (-87)/(-540) + (-3)/60. Suppose -t*w**5 + 1/9*w**3 - 7/9*w**2 + 0*w + 4/9 + 1/3*w**4 = 0. What is w?
-1, 1, 2
Let a(p) be the first derivative of 5*p**4/2 + 15*p**3 + 30*p**2 + 20*p + 100. Solve a(f) = 0.
-2, -1/2
Determine u, given that 0*u - 32/5*u**3 - 84/5*u**4 - 2*u**5 + 0 + 0*u**2 = 0.
-8, -2/5, 0
Suppose -4*x - 20 = -2*i, -9*x + 13*x + 20 = 0. Let n(y) be the first derivative of 2/3*y**3 + 5 + 2*y**2 + i*y. Factor n(k).
2*k*(k + 2)
Let -16*d**3 + 5*d**5 - 7*d**5 + 16*d**2 + 12*d**4 - 8*d**3 = 0. Calculate d.
0, 2
Factor -33/4*w + 3/8*w**4 + 3 + 63/8*w**2 - 3*w**3.
3*(w - 4)*(w - 2)*(w - 1)**2/8
Let m(f) = -2*f**3 - 24*f**2 - 46*f - 32. Let g(x) = -3*x**3 - 48*x**2 - 91*x - 64. Let b(t) = 2*g(t) - 5*m(t). Suppose b(d) = 0. Calculate d.
-2
Let o(r) be the first derivative of 3/2*r + 9/8*r**2 + 1/4*r**3 + 19. Factor o(x).
3*(x + 1)*(x + 2)/4
Let l be ((15 - -1) + 2)/(2/3). Let g = l - 107/4. Determine h so that -1/4*h**3 - g*h**4 + 5/4*h + 3/4*h**2 + 1/2 = 0.
-1, 2
Let a be 6*-3*(-62)/(-12). Let 