13)/5
What is f in -3*f**2 + 24 + 815*f - 217*f - 193*f**2 - 434*f + 8*f**2 = 0?
-6/47, 1
Let z(q) be the third derivative of -q**5/180 - 5*q**4/6 + 518*q**3/9 - 1885*q**2. Determine n, given that z(n) = 0.
-74, 14
Let c(d) be the first derivative of d**6/150 - 2*d**5/25 + 3*d**4/10 - 8*d**3/15 + 125*d**2/2 + 42. Let m(l) be the second derivative of c(l). Factor m(y).
4*(y - 4)*(y - 1)**2/5
Let b(m) be the first derivative of 49 - 5/2*m**2 + 5*m**3 + 0*m. Factor b(q).
5*q*(3*q - 1)
Solve 1/9*r**2 + 16/3*r + 455/9 = 0.
-35, -13
Factor -174632 - 14*u + 3*u**2 + 174632 - 5*u**2.
-2*u*(u + 7)
Let d = 878547 - 878547. Determine c, given that -92/7*c**4 + 6/7*c**5 + 480/7*c**3 + 250/7*c - 900/7*c**2 + d = 0.
0, 1/3, 5
Let r = 143001/2 - 71500. Factor -8*i - r*i**3 + 4*i**2 + 0.
-i*(i - 4)**2/2
Let y(c) = -23*c**3 - 154*c**2 - 2627*c - 2386. Let i(o) = -48*o**3 - 306*o**2 - 5262*o - 4773. Let p(a) = 10*i(a) - 21*y(a). Let p(t) = 0. What is t?
-33, -24, -1
Factor 5*j**2 + 111/4*j + 1/4*j**3 + 45.
(j + 3)*(j + 5)*(j + 12)/4
Let l(n) be the first derivative of 2/21*n**3 - 34 - 20/7*n - 3/7*n**2. Factor l(v).
2*(v - 5)*(v + 2)/7
Let j be (16/18)/(236/177). Let o(x) be the first derivative of 1/9*x**3 - 1/2*x**2 + 1/15*x**5 + 1/4*x**4 - j*x - 18. Factor o(b).
(b - 1)*(b + 1)**2*(b + 2)/3
Let u(x) be the third derivative of x**7/840 - 11*x**6/480 - 17*x**5/240 + 21*x**4/32 - 3*x**3/2 + 8194*x**2. Determine v, given that u(v) = 0.
-3, 1, 12
Let h be ((-11914)/(-185) + -65)/((-4)/((-40)/(-18))). Suppose -3*x**2 + 5/3*x + x**3 + 0 + h*x**4 = 0. What is x?
-5, 0, 1
Factor -140/3 - 136/3*m + 4/3*m**2.
4*(m - 35)*(m + 1)/3
Let c be ((-17380)/(-88))/((-105)/(-12)). Solve 2/7*x**5 + 8 - 160/7*x - 58/7*x**3 + c*x**2 + 2/7*x**4 = 0 for x.
-7, 1, 2
Suppose 5*n - 35*z + 30*z + 30 = 0, -5*z = 5*n - 50. Factor 3/4*g + 3/8*g**n + 0 - 3/8*g**3.
-3*g*(g - 2)*(g + 1)/8
Suppose -98 = -19*f - 60. Factor 11*u + 294*u**f + 295*u**2 - 590*u**2.
-u*(u - 11)
Suppose -85*p + 865*p = -259*p - 109*p + 4592. Factor 4/3*q**p + 176*q**2 + 1280/3*q + 80/3*q**3 + 1024/3.
4*(q + 2)**2*(q + 8)**2/3
Factor 3/7*i**2 - 2136/7 - 1062/7*i.
3*(i - 356)*(i + 2)/7
Suppose 2*i - 10 = -2*u, 4*u - 4*i = 3*u. Suppose j + u = 19. Determine b so that -j + 15*b**2 - 3*b + 5*b**3 - 2*b - 5*b + 5*b = 0.
-3, -1, 1
Factor -3446/3*u - 2968729/3 - 1/3*u**2.
-(u + 1723)**2/3
Factor 531*i + 3/4*i**2 + 93987.
3*(i + 354)**2/4
Let d be -1*23 - ((-5)/(-1) - 5). Let z = 25 + d. Suppose 6*j**5 - 5*j**3 - 7*j**3 - 9*j**4 + 15*j**z + 4*j**3 + 18*j - 10*j**3 = 0. What is j?
-1, 0, 3/2, 2
Let i(g) = 20*g**3 + 2245*g**2 - 9340*g + 9315. Let t(m) = -5*m**3 - 561*m**2 + 2336*m - 2328. Let o(d) = 4*i(d) + 15*t(d). Factor o(r).
5*(r - 2)**2*(r + 117)
Let v(g) = 60459*g**3 + 23724*g**2 + 2319*g - 33. Let k(h) = -15115*h**3 - 5932*h**2 - 580*h + 8. Let i(x) = 33*k(x) + 8*v(x). Factor i(w).
-3*w*(71*w + 14)**2
Let l be ((-684)/(-570))/(252/175). Solve 0 - 40/3*d - 20/3*d**2 - l*d**3 = 0 for d.
-4, 0
Determine c, given that 224/3 - 28/3*c**4 + 326/3*c**2 + 512/3*c + 11/3*c**3 - 1/3*c**5 = 0.
-28, -2, -1, 4
Let u be 6240/(-2600)*10/54*(-13 - -1). What is w in -4 + 26/3*w - u*w**2 + 2/3*w**3 = 0?
1, 6
Suppose 0 = -10*y - 118 + 148. Let -y - 15/4*n**3 - 39/4*n**2 - 37/4*n - 1/4*n**4 = 0. What is n?
-12, -1
Let 325/3*z + 1/3*z**2 + 108 = 0. Calculate z.
-324, -1
Let k(a) be the second derivative of -a**7/11340 + 17*a**6/810 - 289*a**5/135 + 49*a**4/12 - 108*a. Let h(s) be the third derivative of k(s). Factor h(x).
-2*(x - 34)**2/9
Let d be (15/(-10) - (-1369)/74) + -11. Let -136/19*z**2 + 4*z**3 + 2/19*z**5 - 36/19 - 20/19*z**4 + d*z = 0. What is z?
1, 2, 3
Find y such that 1/3*y**2 - 11/3*y - 4 = 0.
-1, 12
Let a(h) = h - 12. Let b be a(12). Suppose 0 = -9*y - b*y + 54. Factor 6*u**4 + y*u**3 + 0*u**3 + 2*u**5 - u**3 - u**3.
2*u**3*(u + 1)*(u + 2)
Suppose -5*p = -2*v - 56, 2*v = v - 3*p - 6. Let f = v - -22. Factor -91*m**2 - 2*m**5 - 93*m**2 + f*m**4 + 180*m**2 + 2*m.
-2*m*(m - 1)**3*(m + 1)
Suppose 8*l = l + 567. Factor 2*j**5 - 49 - 2*j**4 - 32 + l.
2*j**4*(j - 1)
Solve 56/3 + 2/3*g**4 - 28/3*g**3 - 2*g**2 + 80/3*g = 0 for g.
-1, 2, 14
Let b be -1 + (-2345)/5 + 3. Let p = b - -471. Factor 34/3*n**p - 56/3*n**3 - 8/3*n**5 + 44/3*n**2 + 2/3 - 16/3*n.
-2*(n - 1)**4*(4*n - 1)/3
Let -250*x**2 - 333*x - 54*x**4 + 300*x**3 - 543*x + 5*x**5 + 183*x - 16*x**4 + 68*x = 0. Calculate x.
-1, 0, 5
Suppose 4*i = 5*i + 5*v - 7, 0 = -3*i - v + 7. Suppose 5*b = 4*f + 3, -i*f - 3 = -3*f. Suppose 47*x**3 + 8 + 46*x**b + 12*x**2 - 91*x**3 + 18*x = 0. What is x?
-4, -1
Let r(l) be the second derivative of 85/6*l**4 - 7/6*l**6 + 0 + 265/6*l**3 + 5/42*l**7 + 105/2*l**2 + 25*l - 3/2*l**5. Factor r(w).
5*(w - 7)*(w - 3)*(w + 1)**3
Let n be 5184/(-7371) - 42/(-245)*5. Let -n*o**2 + 40/13*o - 200/13 = 0. What is o?
10
Let y(w) = w**3 - 5*w**2 - 6*w + 37. Let v be y(5). Factor -17*g + 3*g**2 + 55*g + v*g + 2*g**2 + 70.
5*(g + 2)*(g + 7)
Let m be 272/(-20)*(-4)/((-4)/(-5)). Let c be ((-1)/2)/(2 + m/(-32)). Suppose 18*u**3 + 3*u**5 + 14*u**2 + 8*u**4 + c*u + 4*u**4 - u**5 - 2*u**4 = 0. What is u?
-2, -1, 0
Suppose 65*q = 18 + 58 + 119. Solve 2/7*l**q + 100/7*l**2 + 0*l + 0 = 0.
-50, 0
Let u(o) be the third derivative of -o**8/1176 - 13*o**7/735 - o**6/84 + 97*o**5/210 + 27*o**4/14 + 24*o**3/7 + 4*o**2 - 19. Find g such that u(g) = 0.
-12, -2, -1, 3
Let r = -574 - -882. Let g be (-11)/r*2*-4. Solve 0 + 3/7*q**2 - 1/7*q**3 - g*q = 0 for q.
0, 1, 2
Let c = 2357 + -2350. Let z(a) be the second derivative of 0*a**6 + c*a + 0*a**2 + 0*a**3 + 0 + 0*a**4 + 1/14*a**7 - 3/20*a**5. Factor z(l).
3*l**3*(l - 1)*(l + 1)
Let l(y) be the first derivative of -3*y**2 + 3/2*y**4 - 1/5*y**5 - 259 - 7/3*y**3 + 8*y. Solve l(s) = 0 for s.
-1, 1, 2, 4
Find z, given that 592*z**2 + 3687 - 1512 - 23040*z + 10588 + 29474 - 4*z**3 + 40707 = 0.
4, 72
Suppose -101 = -k - 99. Determine t, given that 7*t + 3*t + 0*t - 5*t**k - 5 = 0.
1
Suppose a - 30 + 20 = -2*p, -a = 18*p - 42. Determine x so that 14/19 + 58/19*x + 8/19*x**p = 0.
-7, -1/4
Let a(i) be the second derivative of 5*i**4/12 - 5*i**3/3 + 5*i**2/2 + 326*i. Let a(h) = 0. What is h?
1
Let t(x) be the first derivative of -288*x**5/5 - 348*x**4 - 1874*x**3/3 - 460*x**2 - 150*x + 3119. Determine s, given that t(s) = 0.
-3, -1, -5/12
Let p(d) = 21*d**3 - 248*d**2 - 1991*d + 684. Let t(c) = -125*c**3 + 1490*c**2 + 11945*c - 4105. Let z(w) = -35*p(w) - 6*t(w). Find m, given that z(m) = 0.
-6, 1/3, 23
What is r in 0 + 18/11*r**2 - 2/11*r**3 + 4*r = 0?
-2, 0, 11
Factor 1466/5*q**2 + 787665674/15 - 1074578/5*q - 2/15*q**3.
-2*(q - 733)**3/15
Let g(z) be the third derivative of -z**7/105 - z**6 + 13*z**5/6 + 20*z**4 - 244*z**3/3 - 1681*z**2. What is p in g(p) = 0?
-61, -2, 1, 2
Let b(k) = 0*k - 4*k + 8 - k - 54*k**2 + 0. Let h(o) = 19*o**2 + 2*o - 3. Let t(n) = 6*b(n) + 17*h(n). Factor t(x).
-(x - 3)*(x - 1)
Let o = 7281 - 7279. Let c(i) be the second derivative of 0 + 3/160*i**5 + 1/16*i**3 + 1/16*i**4 + 0*i**o + 27*i. Let c(j) = 0. Calculate j.
-1, 0
Let w = 12129 + -230443/19. Let q(s) be the first derivative of 2/19*s**3 + 18 + 10/19*s + w*s**2. Suppose q(a) = 0. What is a?
-5/3, -1
Let w(v) be the first derivative of -2*v**6/3 + 76*v**5/5 - 76*v**4 + 112*v**3 + 3074. Determine t so that w(t) = 0.
0, 2, 3, 14
Suppose 4*y - 12*k = -14*k + 16, 4*y - 2*k = 0. Suppose r = l - 1, r + y*l + 4 = 6*r. Determine t, given that 4/13*t + 2/13*t**r - 2/13*t**3 + 0 = 0.
-1, 0, 2
Factor -247681/3*k**4 + 82369/3*k**5 + 248830/3*k**3 - 84094/3*k**2 + 577/3*k - 1/3.
(k - 1)**3*(287*k - 1)**2/3
Let b = 40 + -32. Let a = -155 + 157. Factor -5*t**2 + 11 - b + 51*t - 4*t**a + 15.
-3*(t - 6)*(3*t + 1)
Factor 95*c**2 + 30 + 80 - 130*c**2 - 375*c.
-5*(c + 11)*(7*c - 2)
Factor 1/5*v**2 - 219/5*v + 434/5.
(v - 217)*(v - 2)/5
Let z(w) = 4 + 30*w**2 + 7*w**3 - 4 + 20*w - 6*w**3 - 3. Let k(x) = -32*x**2 - 20*x + 4. Let m(d) = 3*k(d) + 4*z(d). Let m(u) = 0. Calculate u.
-5, -1, 0
Let s be (-1 - -170*1) + 7 + -2. Find w, given that -70*w**3 - 300*w**2 - 266 + 212*w - 558*w - s*w - 5*w**4 - 54 = 0.
-8, -2
Let y(w) be the second derivative of 30*w - 1 - 2/45*w**6 + 0*w**4 + 0*w**2 + 0*w**3 - 3/5*w**5. Factor y(p).
-4*p**3*(p + 9)/3
Factor 655325*r**2 - 5*r**5 - 30335*r*