 + (-2)/(-3)). Let f be y/7 - 943/(-1148). Factor 0*s + 0 + 1/4*s**2 + 1/4*s**5 - 1/4*s**4 - f*s**3.
s**2*(s - 1)**2*(s + 1)/4
Let a(y) be the third derivative of 1/30*y**4 - 1/150*y**6 + 1/150*y**5 + 0 + 0*y**3 + 50*y**2 - 1/525*y**7 + 0*y. Solve a(g) = 0.
-2, -1, 0, 1
Let y be -11 + (-2000)/(-110) - 2/11. Let 53*p**2 + 5*p**4 - y*p**3 - 34*p**2 - p**5 - 16*p**2 = 0. What is p?
0, 1, 3
Find u, given that -2/13*u**2 + 356/13*u - 15842/13 = 0.
89
Let i(r) be the second derivative of 134*r + 7/190*r**5 + 0 - 3/19*r**2 - 7/57*r**3 + 2/285*r**6 + 1/114*r**4. Solve i(f) = 0 for f.
-3, -1, -1/2, 1
Factor -313*x + 1/2*x**2 + 97969/2.
(x - 313)**2/2
Let k be (3 - 1)*9/6. Suppose 4*o - 24 = -3*s, 5*s - 3 = 4*o + 5. Factor 0*n**3 + 5*n + 6*n - 3*n - 4*n**k + s*n**2.
-4*n*(n - 2)*(n + 1)
Suppose -3*z - 10 = -8*z, 0 = 4*y - z - 170. Factor 10 + 0*x**3 - 4*x**3 - y*x - 8*x + 5*x**2 + 40*x**2.
-(x - 10)*(x - 1)*(4*x - 1)
Determine w, given that 315/4 + 2373/2*w**2 + 3*w**5 + 1035*w**3 + 1299/4*w**4 + 552*w = 0.
-105, -1, -1/4
Let c(f) be the first derivative of 15/4*f**4 + 0*f - 20/3*f**3 + 5/2*f**2 - 28. Determine w so that c(w) = 0.
0, 1/3, 1
Let s(g) be the third derivative of -1/1575*g**7 + 0*g - g**2 + 1/450*g**6 + 45 + 7/90*g**4 + 2/75*g**5 + 1/9*g**3. Factor s(h).
-2*(h - 5)*(h + 1)**3/15
Solve 1/3*v**2 + 497 - 92/3*v = 0.
21, 71
Determine j, given that -1669*j + 1102*j + 543 - 537*j**4 + 1086*j**3 - 516*j - 6*j**2 - 3*j**5 = 0.
-181, -1, 1
Solve -93*b**3 + 189/2 + 93*b - 96*b**2 + 3/2*b**4 = 0.
-1, 1, 63
Let q be 34 - (-32 + (-9850)/(-150)). Solve -2/3*m**4 + 0 - m**3 - q*m**2 + 0*m = 0.
-1, -1/2, 0
Let t = 60488 + -5625320/93. Let q = -11/31 + t. Suppose 4/3 - q*z**3 - 1/3*z**2 + 4/3*z = 0. What is z?
-2, -1, 2
Suppose -294*y = -280*y. Let v(o) be the second derivative of -9*o + 8/3*o**4 + y - 6/5*o**5 - 2*o**3 + 2/21*o**7 + 0*o**2 + 0*o**6. Factor v(i).
4*i*(i - 1)**3*(i + 3)
Let s = -423/46 - -5591/598. Factor 0 - s*r**2 - 4/13*r.
-2*r*(r + 2)/13
Factor -42*h + 217 - 3*h**2 - 73*h - 173*h + 1593 + 2078.
-3*(h - 12)*(h + 108)
Let a(h) = 2*h**4 - 4*h**3 + 2*h**2 + h - 1. Let v(s) = 48*s**5 + 248*s**4 + 336*s**3 + 152*s**2 - 42*s - 22. Let g(m) = -6*a(m) + v(m). What is c in g(c) = 0?
-2, -1, -1/4, 1/3
Let u(c) = 21*c**2 - 2*c - 1. Let y(g) = 61*g**2 + 888*g + 893. Let p(o) = -6*u(o) + 2*y(o). Factor p(v).
-4*(v - 448)*(v + 1)
Let z(k) be the third derivative of -k**5/12 - 14695*k**4/12 - 43188605*k**3/6 + 3*k**2 - 139*k - 1. Factor z(l).
-5*(l + 2939)**2
Let z be (2/3)/((-6)/(-27)). Let t be 23/z + -11 + 4. Factor -t*v**2 - 1/6*v + 0.
-v*(4*v + 1)/6
Let -6 + 7/2*g**2 + 1/2*g**3 + 2*g = 0. Calculate g.
-6, -2, 1
Let j(t) be the second derivative of t**6/10 - 93*t**5/20 + 7*t**4 + 30*t**3 + 5789*t. Factor j(i).
3*i*(i - 30)*(i - 2)*(i + 1)
Let u(d) be the second derivative of d**7/1260 + d**6/90 + d**5/15 - 13*d**4/6 + 49*d. Let o(f) be the third derivative of u(f). Factor o(r).
2*(r + 2)**2
Let s(d) = -17*d - 116. Let o be s(-8). Determine g, given that 4 - 21*g**4 - 3*g**2 + o*g**4 - 15*g + 5*g**3 + 17*g - 7*g = 0.
-1, 1, 4
Let j(q) = q**2 + 14*q + 1. Let i(r) = 2*r**2 + 178*r + 233. Let m(h) = -i(h) + 5*j(h). Factor m(l).
3*(l - 38)*(l + 2)
Let d = 393 + -154. Suppose d = m + 43. Factor 13*c - 60*c - m - 9*c - 4*c**2.
-4*(c + 7)**2
Let g(q) be the first derivative of -4*q**3/21 - 58*q**2/7 - 720*q/7 - 31. Let g(z) = 0. Calculate z.
-20, -9
Let r be ((-553)/35 - (-30)/2)*(-10)/2. Factor 0 + 8/13*n**5 + 8/13*n**r - 6/13*n**3 + 2/13*n - 4/13*n**2.
2*n*(n + 1)**2*(2*n - 1)**2/13
Let s = -141 + 147. Let o be (s - 6/3) + (-81)/21. Factor o*j**2 - 2/7 - 1/7*j.
(j - 2)*(j + 1)/7
Let a(g) be the first derivative of 4*g + 67 - g**4 + 2*g**2 - 4/3*g**3. Factor a(z).
-4*(z - 1)*(z + 1)**2
Let z = 12 - 4. Suppose -50*b + 232 = z*b. Factor -1/2*y**b + 0 + 5/2*y**2 - 3/2*y - 1/2*y**3.
-y*(y - 1)**2*(y + 3)/2
Suppose 0 + 198/17*m - 312/17*m**2 - 2/17*m**5 + 124/17*m**3 - 8/17*m**4 = 0. Calculate m.
-11, 0, 1, 3
Suppose -2*h - 10*h = -48. Determine i so that 14*i**3 - 7*i**2 + 2*i**4 + 3*i**2 - 14*i + 12 - 6*i**2 - h*i**4 = 0.
-1, 1, 6
Let l(h) be the second derivative of 31*h**6/345 + 247*h**5/115 - 16*h**4/69 - 1050*h + 2. Let l(s) = 0. What is s?
-16, 0, 2/31
Factor 1/2*u**2 - 55/2*u - 57.
(u - 57)*(u + 2)/2
Suppose -433*r + 993*r - 15192 = -706*r. Solve -2/7*f**2 - 126 - r*f = 0.
-21
Let d = -1184 - -779. Let p = d + 407. Solve -4/7 - 4/7*m + 2/7*m**3 - 1/7*m**4 + 3/7*m**p = 0 for m.
-1, 2
Let f(s) be the first derivative of -20/3*s**3 - 81 - 3/2*s**4 + 44*s**2 - 48*s. Suppose f(i) = 0. Calculate i.
-6, 2/3, 2
Factor 162/7*j - 22/7*j**2 - 8.
-2*(j - 7)*(11*j - 4)/7
Let n(l) be the third derivative of -1/4*l**4 + 1/160*l**5 + 4*l**3 - 2*l + 0 - 35*l**2. Find g such that n(g) = 0.
8
Suppose 1465/2*v + 715/2*v**2 - 2175/2 - 5/2*v**3 = 0. What is v?
-3, 1, 145
Let m(f) = 4*f**2 + f**3 + 4*f**3 + 5 + 0*f**3 - 4*f**3 + 4*f. Let b be m(-3). Solve 0*t**b + 4*t**3 + 2*t**2 - 23*t**4 + 25*t**4 = 0 for t.
-1, 0
Let q(v) be the first derivative of 0*v**3 - 5 - 1/12*v**4 + 0*v - 3/2*v**2 + 1/30*v**5. Let k(u) be the second derivative of q(u). Factor k(b).
2*b*(b - 1)
Suppose 0 = 2*t - 4*n - 1808, -26*t - 2*n = -29*t + 2728. Let r = t - 906. What is o in r*o - 3/2*o**2 - 6 = 0?
2
Let w(o) be the first derivative of 194 - 1/12*o**3 - 9/4*o + 3/4*o**2. Determine v so that w(v) = 0.
3
Determine w so that -5883/2*w**2 + 360885*w + 6*w**3 - 180075/2 = 0.
1/4, 245
Let y be 2/7*(860/(-60) - -19). Let r(i) be the second derivative of 21*i + 0*i**2 + 0 - y*i**3 + 1/5*i**5 - 1/3*i**4. Factor r(g).
4*g*(g - 2)*(g + 1)
Suppose 3*o + 51 - 3 = 3*l, -2*o = 22. Determine r so that 1/2*r**l + 0 + 11*r**3 - 42*r**2 + 49/2*r + 6*r**4 = 0.
-7, 0, 1
Let h be 4 - 3*4/3. Let g = h - -3. Factor 2*f**5 + 18*f**3 - 3*f**2 - 9*f**3 - 11*f**g + f**2 + 2*f**4.
2*f**2*(f - 1)*(f + 1)**2
Let w(o) = -3*o**5 + 3*o**4 - 28*o**3 + 46*o**2 - 23*o. Let f(g) = -4*g**5 + g**4 - 2*g. Let y(z) = -4*f(z) + 4*w(z). Solve y(a) = 0 for a.
-7, 0, 1, 3
Factor 2/5*q**2 + 4*q - 598/5.
2*(q - 13)*(q + 23)/5
Let w = 428/45 + -116/15. Let i = w - 86/99. Factor i - 8/11*u - 2/11*u**2.
-2*(u - 1)*(u + 5)/11
Suppose -205*n - 4 = -207*n. Factor -x**2 + 815 - 29 + 6*x**n - 160*x + 494.
5*(x - 16)**2
Let z = -1855/452 + 1170/113. Solve -5 - z*f - 5/4*f**2 = 0.
-4, -1
Let q = -5901264/95 + 62120. Let f = q - 12/19. Factor 2/5*c**5 - f*c**2 - 2/5*c + 4/5*c**4 + 0 + 0*c**3.
2*c*(c - 1)*(c + 1)**3/5
Let l = -93602 + 93604. Let 1/9*v**3 + 0 + 0*v + 8/9*v**l = 0. Calculate v.
-8, 0
Let r(n) be the first derivative of -n**8/10080 + n**7/630 + n**6/2160 - n**5/90 + 10*n**3 - 36. Let t(l) be the third derivative of r(l). Factor t(o).
-o*(o - 8)*(o - 1)*(o + 1)/6
Let p be -1 + -7*(6 - 1118/187). Let k = 35/17 + p. Factor 2/11*d**2 + 8/11 + k*d.
2*(d + 1)*(d + 4)/11
Let r = 127 + -118. Find p such that 9*p**4 - 33*p**4 - 16*p**4 + 13*p**4 - 27*p**3 - p - r*p**2 = 0.
-1/3, 0
Let y = -4940 - -4943. Let m(r) be the first derivative of r**2 - 16/5*r**5 + 0*r**3 - y*r**4 + 0*r - 7 - r**6. Suppose m(u) = 0. Calculate u.
-1, 0, 1/3
Let z(m) = 7*m - 118. Let p be z(18). Let r be -9*p/(-6) + -9. Factor -2/25*a**2 - 2/25*a**r + 0*a + 0.
-2*a**2*(a + 1)/25
Let u be 55/(-1 + -4 + 6). Suppose -161*r**2 - 2*r**4 + 70*r**3 - 19*r**2 + 0*r**2 - 3*r**4 + 170*r - u = 0. Calculate r.
1, 11
Solve -620 + 16*r + 108 - 2450*r**2 + 2224*r = 0 for r.
16/35
Suppose -l + 4*b = 2*b - 6, 4 = 5*l + 3*b. Suppose 0 = -3*r + 6 + 9, l*k + 19 = 5*r. What is w in 4*w**k + 4/3*w**5 + 4*w**4 + 0*w + 0 + 4/3*w**2 = 0?
-1, 0
Let 20/9*r**2 - 2/9*r**3 + 0 - 2*r = 0. Calculate r.
0, 1, 9
Let y be 74/370*(-100)/(-12). Let l(d) be the second derivative of -24*d - 1/6*d**4 + 0 - y*d**3 - 6*d**2. Factor l(i).
-2*(i + 2)*(i + 3)
Let v(i) be the third derivative of -7/96*i**4 + 0*i + 79*i**2 - 1/240*i**5 + 1/3*i**3 + 0. Factor v(g).
-(g - 1)*(g + 8)/4
Let a(p) be the first derivative of 2*p**5/45 - 47*p**4/9 + 680*p**3/3 - 4200*p**2 + 24000*p + 609. Solve a(x) = 0.
4, 30
Let y be 9/(-6)*((-80)/(-6))/(-2). Let p(u) = -14*u**2 + 3*u. Let i(v) = 6*v**2 - 2*v. Let d(z) = y*i(z) + 4*p(z). Find r such that d(r) = 0.
0, 2
Let p(c) be the third derivative of -c**6/360 - c**5/12 - 3*c**4/8 - 4