. What is s in q(s) = 0?
-1, 184
Let c(a) = 5*a**2 + 8*a - 37. Let q be ((-4)/(-10))/(24/(-60)). Let h(o) = o**2 - o + 2. Let y(f) = q*c(f) + 6*h(f). Let y(v) = 0. Calculate v.
7
Let w(u) = 2*u**3 + 284*u**2 + 306*u - 8. Let y(c) = -3*c**3 - 282*c**2 - 309*c + 10. Let a(n) = 5*w(n) + 4*y(n). What is b in a(b) = 0?
-1, 0, 147
Factor 7/5*z**2 - 3/5*z**3 - 4 + 8/5*z.
-(z - 2)**2*(3*z + 5)/5
Let u(r) be the third derivative of 13*r**6/180 - 14*r**5/45 + 17*r**4/36 - 2*r**3/9 + 17*r**2 - 11*r. Factor u(s).
2*(s - 1)**2*(13*s - 2)/3
Let p(j) be the third derivative of j**6/480 + j**5/15 - 91*j**4/96 - 845*j**3/12 + 683*j**2 - 2*j. Suppose p(y) = 0. Calculate y.
-13, 10
Let q(s) be the second derivative of -2*s**2 + 1/10*s**5 + 0 - 1/15*s**6 - 1/3*s**3 + 1/2*s**4 - 16*s. Factor q(t).
-2*(t - 2)*(t - 1)*(t + 1)**2
Let w(b) = -2766*b**2 - 2827*b - 2. Let o be w(-1). Factor 0 + 24*l - o*l**2 - 5/2*l**3.
-l*(l + 24)*(5*l - 2)/2
Let z be (2075/(-675) - 8/(-108)) + 8. Let a(o) be the first derivative of 0*o**2 - o**4 + 1/5*o**z + o**3 + 0*o + 20. Determine k so that a(k) = 0.
0, 1, 3
Suppose 0 = x - 5*i - 16, 4*x - 22 = 7*i - 8*i. Suppose -73*s + 70*s - 5*d + x = 0, -4*s + 4*d + 8 = 0. Determine j so that 12/5*j - 12/5 - 3/5*j**s = 0.
2
Let n(f) be the first derivative of -57 - 20/11*f + 7/11*f**2 + 8/33*f**3 - 1/22*f**4. Factor n(g).
-2*(g - 5)*(g - 1)*(g + 2)/11
Let j = -573 + 574. Let n(w) = -w**4 - 9*w**3 + w - 1. Let r(b) = -b + 1. Let s(m) = j*n(m) + r(m). Solve s(x) = 0 for x.
-9, 0
Let a = -10 - -5. Let l(g) = -98*g**2 + 163*g - 67. Let s(x) = -49*x**2 + 82*x - 34. Let r(i) = a*s(i) + 2*l(i). Factor r(m).
(7*m - 6)**2
Let b(h) be the second derivative of -2*h**4/33 + 73*h**3/33 - 18*h**2/11 + 41*h + 7. What is n in b(n) = 0?
1/4, 18
Let q(i) = -i**3 + 2. Let g(n) = 2*n**3 - 264*n**2 + 4608*n - 8188. Suppose 2*b + 425 - 423 = 0. Let x(d) = b*g(d) + 2*q(d). Factor x(r).
-4*(r - 32)**2*(r - 2)
Let r(b) be the third derivative of -b**8/336 + 4*b**7/35 + 107*b**6/120 + 23*b**5/10 + 7*b**4/3 - 2300*b**2. Determine z, given that r(z) = 0.
-2, -1, 0, 28
Let a(q) be the first derivative of -512/3*q + 160/3*q**3 - 552/5*q**5 + 256*q**2 - 79 - 18*q**6 - 556/3*q**4. Factor a(g).
-4*(g + 2)**3*(9*g - 4)**2/3
Determine i, given that 2/7*i**4 + 0 - 16/7*i - 20/7*i**2 - 2/7*i**3 = 0.
-2, -1, 0, 4
Let d(k) be the second derivative of -k**5/35 - 5*k**4/21 + 16*k**3/21 + 24*k**2/7 - 972*k - 1. What is p in d(p) = 0?
-6, -1, 2
Let v(a) = 2*a + 12. Let c be v(-5). Suppose c*s = 8 + 8. Let 2*i**2 - 34 + 34 + s*i = 0. What is i?
-4, 0
Determine i so that 39/2*i**2 + 1/4*i**3 + 264*i + 992 = 0.
-62, -8
Let k be 1653/870 - (-49)/(-35). Factor -k*s**2 - 2738 + 74*s.
-(s - 74)**2/2
Let q(r) = 10*r**4 + 320*r**3 - 1025*r**2 + 1050*r - 365. Let j(v) = -25*v**4 - 800*v**3 + 2563*v**2 - 2626*v + 914. Let o(i) = 5*j(i) + 13*q(i). Factor o(x).
5*(x - 1)**3*(x + 35)
Let w(y) be the first derivative of -y**4/48 + y**3/8 - 131*y - 16. Let k(a) be the first derivative of w(a). Factor k(m).
-m*(m - 3)/4
Let b(a) be the second derivative of 2*a**7/21 - 158*a**6/5 - 241*a**5/5 + 709*a**4/3 + 792*a**3 + 952*a**2 - 2384*a. Factor b(g).
4*(g - 238)*(g - 2)*(g + 1)**3
Let i(a) be the third derivative of 0*a - 1/170*a**5 + 43/204*a**4 + 2*a**2 + 2 + 10/17*a**3. Suppose i(w) = 0. Calculate w.
-2/3, 15
Let v(w) = -w**3 - w**2 + 249*w + 732. Let h be v(-3). Find o, given that -2/5*o**5 + 32/5*o**2 + 32/5 - 2*o**4 - 8/5*o**h + 64/5*o = 0.
-2, -1, 2
Let h = -2/100423 - -803394/502115. Factor -44/5*t - 52/5*t**2 - h - 16/5*t**3.
-4*(t + 1)*(t + 2)*(4*t + 1)/5
Suppose 3*d = 4*h + 31 - 11, -5*h - 10 = 0. Factor 0*a + 16*a - a**2 + 10*a**2 - 3*a - 7*a - 3*a**d.
-3*a*(a - 2)*(a + 1)**2
Let t(q) be the third derivative of 1/35*q**7 + 14*q - 1/112*q**8 + 0 + 1/20*q**6 - 1/5*q**5 + q**3 - 1/8*q**4 + 5*q**2. Solve t(y) = 0.
-1, 1, 2
Suppose -132 + 408 + 433 + 59 - 64*y - 5*y**2 + y**2 = 0. What is y?
-24, 8
Factor -1/5*n**4 - 3596/5*n - 3364/5 - 1077/5*n**2 - 62/5*n**3.
-(n + 2)**2*(n + 29)**2/5
Let l(u) = -12*u**2 + 840*u + 3. Let s(v) = -9*v**2 + 844*v + 2. Let j(o) = -2*l(o) + 3*s(o). Solve j(b) = 0 for b.
0, 284
Let x(o) be the first derivative of 74*o**3/15 + 293*o**2/5 - 48*o/5 + 7505. Factor x(n).
2*(n + 8)*(37*n - 3)/5
Let x(i) be the first derivative of 19 + 8*i**5 + 0*i**2 - 16/3*i**3 + 9*i**4 + 0*i - 2*i**6. Solve x(o) = 0.
-1, 0, 1/3, 4
Let h(d) be the first derivative of -13 + 4*d**2 + 14/5*d**5 + 16/3*d**3 + 0*d - 19/2*d**4. Factor h(y).
2*y*(y - 2)*(y - 1)*(7*y + 2)
Let v(c) be the third derivative of 0*c - 2/1155*c**7 + 5 - 2*c**2 - 1/660*c**6 + 0*c**5 + 0*c**3 + 0*c**4 - 1/1848*c**8. Suppose v(m) = 0. What is m?
-1, 0
Suppose -40 = 2*c + 5*x, -2*c = -111*x + 110*x - 8. Factor 40/9*p**4 - 4/9*p**2 + 0*p + c + 2/3*p**3.
2*p**2*(4*p - 1)*(5*p + 2)/9
Let m = 347 + -245. Suppose -150 = -5*x + 2*l, 5*x - x - m = -2*l. Let -8*r - 36*r**5 + 16 - 2*r - 22*r - x*r**2 + 12*r**4 + 68*r**3 = 0. What is r?
-1, 2/3, 1
Let o = 62 - 53. Determine m so that -3*m**2 - 9 + 12 - o - 18*m + 9*m = 0.
-2, -1
Let q(j) be the second derivative of 10/3*j**2 + 1/18*j**6 - 5/12*j**4 - 10/9*j**3 + 1/6*j**5 + 31*j - 1. Factor q(m).
5*(m - 1)**2*(m + 2)**2/3
Let f(l) be the third derivative of -576/5*l**3 + 0 + 42*l**2 - 36/5*l**4 + 0*l - 1/300*l**6 - 6/25*l**5. Factor f(c).
-2*(c + 12)**3/5
Let u(l) be the second derivative of 5/12*l**4 - l**3 + 0*l**2 - 3 + l + 1/20*l**5. Find w such that u(w) = 0.
-6, 0, 1
Determine q so that 34/9 + 11/3*q - 1/9*q**2 = 0.
-1, 34
Let a(l) = 2*l**2 - 5*l - 3. Let z(m) = 50*m - 47. Let k be z(1). Let c be a(k). Factor -1/4*o**4 + o**2 + c + 2*o - 1/2*o**3.
-o*(o - 2)*(o + 2)**2/4
Let c(i) = i**2 + i. Let x(s) = -20*s**2 - 135*s + 605. Let l = -84 - -109. Let a(m) = l*c(m) + x(m). Factor a(d).
5*(d - 11)**2
Let d(u) be the first derivative of 0*u**3 + 0*u**2 - 2/5*u**5 + 3/4*u**4 - 1/6*u**6 - 59 + 0*u. Factor d(a).
-a**3*(a - 1)*(a + 3)
Let p(u) = -11*u**3 + 569*u**2 - 576*u - 60. Let q(o) = -45*o**3 + 2275*o**2 - 2305*o - 250. Let w(n) = 25*p(n) - 6*q(n). What is g in w(g) = 0?
0, 1, 114
Let k = -30 + 31. Find h such that -2*h**2 + 27 + k - 60 - 16*h = 0.
-4
Let p be ((-3)/24)/(4 - 15/3). Suppose 60*r + 1 = 1. Find l such that 1/8*l**2 + 1/4*l - 1/4*l**3 - p*l**4 + r = 0.
-2, -1, 0, 1
Let m = 128 - 123. Let d be (m + -3)/(-3 + (-33)/(-9)). Factor 17*s**3 + 8*s**4 - 20*s**d - 7*s**4.
s**3*(s - 3)
Factor 31*t**3 + 10*t**2 - 60*t + 37*t**4 - 14*t**2 - 24*t**2 - 38*t**4.
-t*(t - 30)*(t - 2)*(t + 1)
Find z such that -1/5*z**5 - 4/5*z + 0 + 0*z**4 + z**3 + 0*z**2 = 0.
-2, -1, 0, 1, 2
Let r(o) = o + 35. Let l be r(-32). Find v such that 99*v**3 + 14*v - 191*v**3 + 102*v**l + 2*v**4 + 18*v**2 + 4 = 0.
-2, -1
Let p(z) = 3*z**3 - 94*z**2 - 391*z + 5134. Let n(t) = 2*t**3 - 96*t**2 - 390*t + 5132. Let i(c) = 7*n(c) - 6*p(c). Find l, given that i(l) = 0.
-16, 5
Let u = -6551 - -6553. Let m(l) be the first derivative of -2/15*l**3 + 2 - 6/5*l**u + 14/5*l. Factor m(d).
-2*(d - 1)*(d + 7)/5
Let q = 76 + -74. Suppose -5*n = q*f - 600, -n + 127 = 3*f - 4*f. Solve 87*u**3 - 18 + n*u**4 - 24*u**2 - 38*u**4 - 126*u - 42*u**2 + 39*u = 0 for u.
-1, -3/4, -2/7, 1
Let c(r) be the third derivative of -r**7/735 + r**6/3 - 70*r**5/3 + 1193*r**2. Find a, given that c(a) = 0.
0, 70
Suppose 4*k + 3 - 1 = -x, 3*x - 8 = 2*k. Suppose 6 - 12 = -x*f. Factor 0*u**3 + 0*u**f + 5*u**3 + 3*u - 8*u**3.
-3*u*(u - 1)*(u + 1)
Suppose 0 = -83*l + 90*l - 42. Find t such that -663*t**2 + 642*t**2 + 10*t**4 + 3*t**5 - 3*t**3 + l - t**4 + 6 = 0.
-2, -1, 1
Let n = 653 - 15002/23. Let f = n - -64/69. Suppose -10/3*h**2 + 5/3*h - 10/3*h**3 + 5/3 + 5/3*h**5 + f*h**4 = 0. Calculate h.
-1, 1
Let l(k) = -3*k**3 - k**2 + 9*k - 2. Let x(q) = q**5 - 376*q**4 + 752*q**3 - 373*q**2 - 9*q + 2. Let r(w) = 2*l(w) + 2*x(w). Determine j, given that r(j) = 0.
0, 1, 374
Let n(x) = 3*x**2 + 167*x + 2246. Let m be n(-33). Suppose -6/13*h**3 + 0 - 8/13*h**m + 0*h + 2/13*h**4 = 0. What is h?
-1, 0, 4
Let j(i) be the first derivative of 49*i**6/12 + 1589*i**5/10 - 5997*i**4/4 + 10874*i**3/3 - 2410*i**2 + 624*i - 5431. Suppose j(v) = 0. What is v?
-39, 2/7, 2, 4
Let h(d) be the first derivative of d**3/2 + 3156*d**2 + 6640224*d - 10026. Factor h(q).
3*(q