ne m, given that q(m) = 0.
1, 16
Let w = 702 - 697. Determine h, given that -8*h**w - 224*h**3 + 15*h**2 + 10*h + 222*h**3 - h**2 + 2 - 16*h**4 = 0.
-1, -1/2, 1
Let r(d) = -d**3 + 180*d**2 - 2477*d + 332. Let y be r(165). Factor 3*t + 6/5 + 12/5*t**y + 3/5*t**3.
3*(t + 1)**2*(t + 2)/5
Factor 2/7*z**2 - 416/7 - 36/7*z.
2*(z - 26)*(z + 8)/7
Let h(u) be the third derivative of -3/32*u**5 - 2*u**2 - 7/32*u**4 - 1/320*u**6 + 0*u**3 + 0*u + 18. Solve h(g) = 0.
-14, -1, 0
Solve -40/11*q**2 + 2/11*q**5 + 0 - 72/11*q + 70/11*q**3 + 40/11*q**4 = 0 for q.
-18, -2, -1, 0, 1
Let v(l) = -4*l**2 - 181*l + 2509. Let p(x) = 3*x**2 + 180*x - 2511. Suppose -11*t - 10 - 56 = 0. Let a(g) = t*v(g) - 7*p(g). Factor a(u).
3*(u - 29)**2
Let u(g) be the second derivative of g**7/168 + 3*g**6/40 + 11*g**5/80 - 29*g**4/48 - 5*g**3/2 - 7*g**2/2 + 1180*g. Determine h, given that u(h) = 0.
-7, -2, -1, 2
Let c(g) be the second derivative of 35/6*g**3 + 5/12*g**4 + 103*g + 15*g**2 + 0. Factor c(u).
5*(u + 1)*(u + 6)
Let s(q) = -20*q**3 - 2024*q**2 - 4144*q - 2020. Let z(a) = 8*a**3 + 809*a**2 + 1659*a + 808. Let i(x) = -5*s(x) - 12*z(x). Factor i(o).
4*(o + 1)**2*(o + 101)
Let d be -2 - 5*((1 - (-7 - -1)) + -8). Determine h, given that -38/9*h**d - 20/3 - 154/9*h - 130/9*h**2 - 2/9*h**4 = 0.
-15, -2, -1
Let y be (-1)/4*1 - (-21)/28. Let g(v) be the first derivative of 3/2*v**2 - 3/2*v**4 - 8 + 3*v + 3/5*v**5 + y*v**6 - 2*v**3. Solve g(q) = 0 for q.
-1, 1
Let w(q) be the second derivative of -43*q**4/4 + 21*q**3 + 3*q**2/2 + 13448*q. Factor w(a).
-3*(a - 1)*(43*a + 1)
What is u in 3/2*u + 0 - 9/8*u**3 - 3/8*u**4 + 0*u**2 = 0?
-2, 0, 1
Let w(t) be the third derivative of -t**8/1008 + 2*t**7/45 - 49*t**6/90 + 997*t**2. Determine v so that w(v) = 0.
0, 14
Let x(t) be the third derivative of t**5/210 - 999*t**4/14 + 2994003*t**3/7 + 1670*t**2 + 3*t. Factor x(z).
2*(z - 2997)**2/7
Solve -168 + 312*p**2 - 21/2*p**3 - 498*p = 0.
-2/7, 2, 28
Factor 3/2*o**3 + 9671202*o - 4725994044 - 6597*o**2.
3*(o - 1466)**3/2
Let m be (4/8)/(276/(-161)*21/(-24)). Factor -m*c**2 + 19/3*c + 20/3.
-(c - 20)*(c + 1)/3
Let r(p) be the third derivative of -p**6/180 + 59*p**5/90 - 85*p**4/18 + 112*p**3/9 - 104*p**2 - 15. Factor r(i).
-2*(i - 56)*(i - 2)*(i - 1)/3
Let h(v) = -3*v**2 - 16*v - 7. Let g(i) = i**2 + i - 2. Let r(p) = 3*p**2 + 6*p - 3. Let u(d) = 9*g(d) - 4*r(d). Let c(a) = -6*h(a) + 7*u(a). Factor c(w).
-3*w*(w + 3)
Let j be 64/(-96) + 5/(105/119). Let f(y) be the second derivative of 5/36*y**4 + 11*y + 1/60*y**j + 1/6*y**3 + 0 - 3/2*y**2. Determine g, given that f(g) = 0.
-3, 1
Let w(h) be the third derivative of 2*h - 1/5*h**6 + 0*h**3 + 0 + 2/105*h**7 + 5/3*h**4 + 1/5*h**5 + 22*h**2. Determine y so that w(y) = 0.
-1, 0, 2, 5
Let q(f) be the first derivative of 4*f**3/3 + 22*f**2 + 112*f - 1356. Determine b so that q(b) = 0.
-7, -4
Factor -548/9*g**2 - 2/9*g**4 + 0*g + 550/9*g**3 + 0.
-2*g**2*(g - 274)*(g - 1)/9
Let d(q) = -68*q + 272. Let x be d(4). Let n(a) be the first derivative of -13 + 0*a**2 + 4*a**3 - a**4 + x*a + 1/15*a**5. Factor n(p).
p**2*(p - 6)**2/3
Let x(f) be the second derivative of 7/5*f**5 + 0*f**3 - 1 + 0*f**2 - 2/3*f**6 + 0*f**4 - 16*f. Factor x(c).
-4*c**3*(5*c - 7)
Suppose 23*g = 31*g. Suppose g = -296*u + 267*u. Factor u - 4/11*z - 6/11*z**2 + 0*z**3 + 2/11*z**4.
2*z*(z - 2)*(z + 1)**2/11
Let g(s) = s**4 - s**3 + 5*s + 1. Let t(d) = -30*d**5 + 88*d**4 - 43*d**3 - 17*d**2 + 27*d + 5. Let o(k) = 10*g(k) - 2*t(k). Let o(f) = 0. Calculate f.
-1/3, 0, 1/10, 1, 2
Suppose -10*o + 206 = 16. Let t = o + -17. Determine m, given that -5*m**4 - 5*m**2 + 17*m**t - 15*m**2 + 3*m**5 + 9*m**3 - 4*m**4 = 0.
0, 1
Let f(v) be the first derivative of -v**4/16 - v**3/4 + 3*v**2 + 20*v - 1600. Find j, given that f(j) = 0.
-4, 5
Determine c so that -1/6*c**5 - 13/3*c**3 - 89/3*c**2 - 71/2*c - 77/6 + 5/2*c**4 = 0.
-1, 7, 11
Suppose 0 = -8*z + 2*z - 9*z + 30. Factor -5/6*a + a**z - 2 - 1/6*a**3.
-(a - 4)*(a - 3)*(a + 1)/6
Let -36/7*z - 1/7*z**2 + 1/7*z**4 + 0 + 36/7*z**3 = 0. What is z?
-36, -1, 0, 1
Let c(o) = 3*o**2 - 6*o + 50. Let n be c(4). Suppose -2*a**2 + 32*a + 2*a - n*a = 0. What is a?
-20, 0
Suppose 4*u + 134 = 2*q, -47 = -9*u + 11*u - 5*q. Let k be ((-27)/u)/((-4)/(-64)*6). Factor -8/7*a**k - 2/7*a**3 - 4/7 - 10/7*a.
-2*(a + 1)**2*(a + 2)/7
Factor 3/4*v + 0 - 1/8*v**3 + 5/8*v**2.
-v*(v - 6)*(v + 1)/8
Let y(x) be the second derivative of 3*x**5/20 + 27*x**4/2 + 105*x**3/2 + 78*x**2 + 6156*x. Factor y(g).
3*(g + 1)**2*(g + 52)
Let m = -3948 + 47377/12. Let p(f) be the third derivative of 5/336*f**8 + 0*f + 0*f**3 + 0*f**4 + 3*f**2 - 1/24*f**6 + 0 + m*f**5 - 1/42*f**7. Factor p(w).
5*w**2*(w - 1)**2*(w + 1)
Let d = 247/237 - -3/553. Let s = 199/294 + -1/98. Factor 10/21 + s*l**2 - 2/21*l**3 - d*l.
-2*(l - 5)*(l - 1)**2/21
Let d be -472*(-6)/(-1404) + (5 - 3). Let a = d - -28/117. Factor 2/9*u**2 + 0 + a*u.
2*u*(u + 1)/9
Let s be 3/(-9)*-2*6. Suppose 0*f + f + h - 4 = 0, 3*f - 13 = -s*h. Find l, given that -6 - 18*l**2 + 5 + 12*l - 7*l + f = 0.
-2/9, 1/2
Solve -3/4*m**4 + 0 + 0*m + 135*m**3 - 537/4*m**2 = 0.
0, 1, 179
Suppose 596*y + 974*y - 5208 = -1034*y. Factor -2/19*u**y + 12/19 + 10/19*u.
-2*(u - 6)*(u + 1)/19
Let r(t) be the second derivative of t**4/42 + t**3/21 - 2*t**2/7 + 2*t - 60. Find m such that r(m) = 0.
-2, 1
Factor -45/4*x**4 + 5/4*x**2 + 10*x**3 + 0*x + 0.
-5*x**2*(x - 1)*(9*x + 1)/4
Suppose 4*j = 5*h + 186, 2*h = 32*j - 34*j + 102. Let u be 3 + 0 + j/(-49). Solve 0*g - 16/21*g**4 - 32/21*g**5 - 2/21*g**3 + 0*g**u + 0 = 0 for g.
-1/4, 0
Let g(o) be the third derivative of o**8/336 + 3*o**7/14 - 53*o**6/120 - 107*o**5/20 + 13*o**4/6 + 46*o**3 - 675*o**2 - 2*o. Solve g(z) = 0 for z.
-46, -2, -1, 1, 3
Let a(q) = q**2 + q + 1. Let t be 70/9 + 40/180. Let z(s) be the first derivative of -4*s**3/3 - 12*s**2 + 4*s - 4. Let i(y) = t*a(y) + z(y). Factor i(r).
4*(r - 3)*(r - 1)
Let q(k) be the third derivative of 17*k**6/720 - 53*k**5/720 + k**4/72 - 41*k**3/3 + 165*k**2. Let i(a) be the first derivative of q(a). Factor i(s).
(s - 1)*(51*s - 2)/6
Let l(a) = a**3 - 14*a**2 + 11*a + 21. Let w be l(13). Let m be w/2 + (-253)/(-92). What is f in 1/2*f + m*f**2 + 1/4 = 0?
-1
Let h(n) = -4*n**2 - 86*n - 82. Let r(i) = -5*i + 2. Let l(u) = -2*h(u) + 18*r(u). Solve l(t) = 0 for t.
-25/4, -4
Factor 166/7*n**2 + 176*n + 2/7*n**3 + 2400/7.
2*(n + 4)**2*(n + 75)/7
Let u(x) be the second derivative of 3/70*x**6 - 24/7*x**2 + 0*x**3 + 0 + 6/7*x**4 + 12/35*x**5 + 21*x. Suppose u(g) = 0. What is g?
-2, 2/3
Let i = 103246/10031 - 10/1433. Suppose -i*s - 20/7*s**2 + 32/7 = 0. What is s?
-4, 2/5
Factor -287*z + 1/2*z**2 + 0.
z*(z - 574)/2
Suppose 3151875/4*a - 1076890625/4 - 3075/4*a**2 + 1/4*a**3 = 0. Calculate a.
1025
Let -5/6*q**3 - 15/2 - 35/6*q**2 - 25/2*q = 0. What is q?
-3, -1
Let b = 394754 + -1973722/5. Find t such that 12/5*t**3 + 2/5*t**4 - 64/5 + 8/5*t**2 - b*t = 0.
-4, -2, 2
Determine v so that 520/3*v + 4/3*v**2 + 992 = 0.
-124, -6
Let q(i) be the first derivative of -30*i - 5/3*i**3 - 87 - 35/2*i**2. Factor q(h).
-5*(h + 1)*(h + 6)
Suppose 223450 + 216*a**2 - 225700 + 4*a**3 - 705*a - a**3 = 0. What is a?
-75, -2, 5
Let d(p) be the second derivative of 5/4*p**2 - 29 - 1/48*p**4 - 3/8*p**3 - p. Factor d(y).
-(y - 1)*(y + 10)/4
Factor -693 - 4502*x**2 + 2298*x**2 + 2201*x**2 - 696*x.
-3*(x + 1)*(x + 231)
Let v(u) be the third derivative of -u**8/84 - 12*u**7/35 + 4*u**6/3 - 2*u**5/15 - 13*u**4/2 + 40*u**3/3 - 477*u**2 - 1. Find c, given that v(c) = 0.
-20, -1, 1
Let c(i) be the third derivative of 4/27*i**3 + 1/30*i**5 - 21*i**2 - 1/540*i**6 + 3*i - 11/108*i**4 - 1/945*i**7 + 0. Find d such that c(d) = 0.
-4, 1
Let n(w) be the first derivative of w**4/10 + 676*w**3/15 + 5845*w**2 + 223112*w/5 + 7381. Suppose n(d) = 0. What is d?
-167, -4
Let w(a) = -5*a**2 - 21*a - 36. Let v(m) = -3*m - 4. Let f be v(0). Let q(i) = -4*i**2 - 20*i - 36. Let p(h) = f*w(h) + 6*q(h). Factor p(n).
-4*(n + 3)*(n + 6)
Suppose -n - 4*h + 11 = 0, -5*n - 6 = -6*n + h. Let i be (n - (1 + 1))*(-5)/(-5). Suppose 12*o**2 - 2*o**5 + 50*o**4 + i*o**5 - 59*o**4 = 0. What is o?
-1, 0, 2
Let t be (-208)/(-6)*(2 + (-2)/4). Let c = 64 - t. Find j, given that -c*j + j**4 - 4*j**5 - 8*j + 8*j**2 + 3*j**4 - 12 + 24*j**3