ative of t**6/600 - t**5/150 - t**4/120 + t**3/15 - 3*t**2 + t. Determine b, given that g(b) = 0.
-1, 1, 2
Let y = -46 + 46. Factor 3*s**4 - 100*s**5 + 97*s**5 - 3*s**2 + y*s**4 + 3*s**3.
-3*s**2*(s - 1)**2*(s + 1)
Let i(z) be the second derivative of -z**9/10080 + z**7/336 - z**5/20 - z**4/2 + z. Let l(a) be the third derivative of i(a). Solve l(q) = 0.
-2, -1, 1, 2
Let n be (-3)/(-6)*2 - -2. Solve 30*d**n + 20*d**2 - 7*d**4 - 60*d + 12*d + 8*d + 5*d**5 - 18*d**4 = 0.
-1, 0, 2
Let u(w) = -w**3 + w**2 - w - 2. Let r(q) = 38*q**2 - q - 2. Let z(y) = 5*r(y) - 5*u(y). Determine k so that z(k) = 0.
-37, 0
Let d be (-256)/(-442) + (-44 - 42522/(-969)). Suppose d - 8/13*k + 2/13*k**2 = 0. Calculate k.
1, 3
Suppose -6 + 1 = -g + 3*c, 0 = 3*c + 3. Let t be (2/28)/(-8 - (-776)/96). Solve -2/7*y**3 - 2/7*y**4 + 2/7*y + t*y**g - 4/7 = 0 for y.
-2, -1, 1
Let i = -4 + 8. Suppose -q + i = 5. Let h(f) = f**2 - 1. Let v(z) = -11*z**2 + 6*z + 5. Let k(j) = q*v(j) - 3*h(j). Let k(o) = 0. What is o?
-1/4, 1
Let o(t) be the third derivative of -t**7/315 + t**6/45 - t**5/30 - 133*t**2. Suppose o(w) = 0. Calculate w.
0, 1, 3
Suppose 168 + 248 = 104*f. Solve -2*d**f - 26/9*d**2 + 0 + 4/9*d + 40/9*d**3 = 0.
0, 2/9, 1
Let j(y) = y**2 - 35*y - 1414. Let q be j(-24). Factor 2/11*o**q + 0 - 12/11*o.
2*o*(o - 6)/11
Suppose -84*p + 18 = 3*r - 87*p, 2*r = -5*p - 16. Factor 4/7*z**3 - 4/7 - 2*z**2 + r*z.
2*(z - 2)*(z - 1)*(2*z - 1)/7
Let j = -79/7 + 337/28. Let 9/2*t**3 + 3*t**4 + 3*t**2 + 3/4*t**5 + 0 + j*t = 0. What is t?
-1, 0
Let u(l) be the first derivative of -l**4/28 + l**3/7 + 2*l**2/7 - 12*l/7 - 209. Factor u(q).
-(q - 3)*(q - 2)*(q + 2)/7
Let v be -11 + 134/12 + (-10)/(-312). Let y = v - -2/39. Factor -1/2*a**3 + 1/4*a - 1/4 + 1/2*a**2 + y*a**5 - 1/4*a**4.
(a - 1)**3*(a + 1)**2/4
Determine v so that -6/7*v**2 - 62/7 + 188/7*v = 0.
1/3, 31
Find f, given that -2376/13*f - 54/13*f**3 - 540/13*f**2 - 2/13*f**4 - 3888/13 = 0.
-9, -6
Let s(f) = 16*f + 50. Let i be s(-3). Let d(r) be the third derivative of 1/120*r**4 - 1/15*r**3 + 4*r**i + 0 + 0*r + 1/150*r**5 - 1/600*r**6. Factor d(q).
-(q - 2)*(q - 1)*(q + 1)/5
Let c be (-4)/(441/(-27) + 15). Find b, given that 0*b - 4/7*b**2 + 0 - 4/7*b**4 + 8/7*b**c = 0.
0, 1
Factor -4*p + 40 - 4*p**2 - 6 + 67 - 21.
-4*(p - 4)*(p + 5)
Suppose 79 - 77 = k. Suppose 6*m**2 - 769*m + 2 + 776*m - m**k = 0. What is m?
-1, -2/5
Let o(z) be the third derivative of 2/7*z**3 - 5/84*z**4 + 0 - 1/210*z**5 + 19*z**2 + 0*z. Factor o(t).
-2*(t - 1)*(t + 6)/7
Let z be (369/(-6) + -5)*(-3)/(-7). Let a = z + 30. Determine g, given that 0*g + a - 3/2*g**2 = 0.
-1, 1
Let f = -19444506 + 43847362593/2255. Let s = 7/205 + f. Factor -16/11*l**2 - s*l - 10/11*l**3 - 2/11*l**4 + 0.
-2*l*(l + 1)*(l + 2)**2/11
Let n = 4 + -2. Find z such that n*z**2 + 4*z**2 + 6 + 9*z**2 - 50*z + 9 = 0.
1/3, 3
Let x(v) be the third derivative of 0 + 1/42*v**7 + 0*v**3 + 0*v + 1/15*v**5 - 1/336*v**8 + 11*v**2 + 0*v**4 - 1/15*v**6. Find g, given that x(g) = 0.
0, 1, 2
Let p(g) be the third derivative of 0 + 1/30*g**6 - 22*g**2 + 2/105*g**7 + 0*g + 0*g**3 - 1/15*g**5 + 0*g**4 - 1/84*g**8. Let p(z) = 0. Calculate z.
-1, 0, 1
Let i(j) be the third derivative of j**8/1344 - j**7/210 + j**6/160 + j**5/60 - j**4/24 - j**2 - 123*j. Determine c so that i(c) = 0.
-1, 0, 1, 2
Let p be (-49596)/16524 + 3*1. Let i = p - -5534/17901. Determine g, given that -2/13*g**2 - i*g + 4/13*g**3 + 0 + 2/13*g**4 = 0.
-2, -1, 0, 1
Factor 4 - 10*y**2 - 86/3*y.
-2*(y + 3)*(15*y - 2)/3
Factor 2/5*z**3 + 14/5*z + 2*z**2 + 6/5.
2*(z + 1)**2*(z + 3)/5
Let b(c) be the first derivative of -c**5/30 + 5*c**4/24 + 5*c**3/9 - 5*c**2/3 - 4*c - 438. What is l in b(l) = 0?
-2, -1, 2, 6
Let a(p) be the third derivative of -1/210*p**6 + 0*p**5 + 0 - 20*p**2 + 0*p**4 + 0*p + 0*p**3. Determine w, given that a(w) = 0.
0
Let m(i) be the first derivative of i**4/4 - i**3/6 - 2*i**2 - 5*i/2 + 324. Factor m(z).
(z + 1)**2*(2*z - 5)/2
Let u(h) be the second derivative of h**5/110 + h**4/11 - 3*h**3/11 - 14*h**2/11 - 10*h + 1. Find j such that u(j) = 0.
-7, -1, 2
Let z(a) be the third derivative of a**8/168 - 2*a**7/105 + 16*a**2 + 4*a. Find b, given that z(b) = 0.
0, 2
Factor 10/9 - 22/9*k + 14/9*k**2 - 2/9*k**3.
-2*(k - 5)*(k - 1)**2/9
Suppose 2*i - 3*k + 195 = 0, k - 375 = 3*i - 93. Let b = 286/3 + i. Factor -l**2 - b*l - 2/3.
-(l + 2)*(3*l + 1)/3
Solve -2/7*x**4 - 8/7*x + 0 + 8/7*x**3 + 2/7*x**2 = 0 for x.
-1, 0, 1, 4
Let o = 90 + -54. Let s be (o/(-594))/((-1)/3). Solve 0*l**4 + 0*l**2 + 0 + 2/11*l**3 + 0*l - s*l**5 = 0 for l.
-1, 0, 1
Factor -1/5*h**3 + 2/5*h - 1/5*h**2 + 0.
-h*(h - 1)*(h + 2)/5
Let t be (-1)/2 - (-1 + 229/5). Let d = t + 93/2. Find l, given that -9/5*l**3 - 3/5*l**4 + 0 + 0*l - d*l**2 = 0.
-2, -1, 0
Let -3 - 182*z + 177*z - 5*z**2 + 13 = 0. What is z?
-2, 1
Factor 35/2*f**3 - 5/2*f**4 + 0 + 25/2*f - 55/2*f**2.
-5*f*(f - 5)*(f - 1)**2/2
Find j such that 0*j + 324/5*j**2 + 36/5*j**3 + 1/5*j**4 + 0 = 0.
-18, 0
Let n(c) be the first derivative of -c**6/1260 - c**5/84 - c**4/14 + 32*c**3/3 + 34. Let v(y) be the third derivative of n(y). Suppose v(r) = 0. Calculate r.
-3, -2
Suppose -3*v + 393 = -5*o, -5*v + 550 + 86 = -2*o. Let y be (2/(-14))/((-36)/v). Factor y*l - 1/4*l**2 + 0.
-l*(l - 2)/4
Find g, given that -24/25 + 22/5*g**2 + 16/25*g = 0.
-6/11, 2/5
Let o(u) be the first derivative of u**3 - 33*u**2/2 + 72*u - 29. Factor o(q).
3*(q - 8)*(q - 3)
Factor -10*g**2 - 4*g**2 - 18 - 30 - 14*g**2 - 176*g.
-4*(g + 6)*(7*g + 2)
Let s be 8/12 - (-163)/(-116). Let j = 1/87 - s. Suppose 1/2 + 1/4*d**4 - 1/4*d - j*d**2 + 1/4*d**3 = 0. Calculate d.
-2, -1, 1
Let o = 645 - 645. Let h(m) be the second derivative of 0*m**3 + o*m**2 - 6*m + 0 - 1/30*m**4 + 1/100*m**5. Let h(j) = 0. Calculate j.
0, 2
Let a(j) = -9*j**2 + j - 4. Let l = -4 + 33. Let k = -15 + l. Let c(g) = 4*g**2 + 2. Let z(f) = k*c(f) + 6*a(f). Determine n so that z(n) = 0.
-2, -1
Let b be 5/(-2) + (-66)/12 + 5 + 7. Find g, given that 3/4*g + 3/8*g**b - 3/8 - 3/4*g**3 + 0*g**2 = 0.
-1, 1
Let r(k) be the third derivative of -k**9/362880 - k**8/40320 + 11*k**5/60 - 9*k**2. Let z(x) be the third derivative of r(x). Factor z(q).
-q**2*(q + 3)/6
Let h(l) = -l**2 - 29*l - 28. Let i(a) = -a - 1. Let c(f) = -h(f) + 5*i(f). Factor c(n).
(n + 1)*(n + 23)
Let v(i) = 4*i - 44. Let x be v(11). Let u(p) be the second derivative of 3/20*p**5 + 1/2*p**4 + 5*p + x*p**2 + 0 + 0*p**3. Factor u(z).
3*z**2*(z + 2)
Let x(c) = c**2 + 14*c - 33. Let o be x(2). Let u be 48/12*o/(-38). Factor 0 - 2/19*s + u*s**2.
2*s*(s - 1)/19
Factor -180 + 12 - 46393*c**3 + 46389*c**3 - 40*c**2 + 212*c.
-4*(c - 3)*(c - 1)*(c + 14)
Let j(k) = 29*k**3 + 66*k**2 - 23*k. Let b(i) = -14*i**3 - 33*i**2 + 11*i. Let t(p) = -5*b(p) - 2*j(p). Factor t(l).
3*l*(l + 3)*(4*l - 1)
Let l = 17875 - 17873. Factor -2/7*j**l - 16/7 + 12/7*j.
-2*(j - 4)*(j - 2)/7
Find a such that 5/3 + 1/3*a**2 + 2*a = 0.
-5, -1
Factor 0 - 1/2*x**4 - 1/2*x + 1/2*x**2 + 1/2*x**3.
-x*(x - 1)**2*(x + 1)/2
What is s in 18 + 7*s**3 + 93*s + 20*s**4 + 75*s**2 + 7*s**4 - 124*s**3 = 0?
-1/3, 2, 3
Let a = -1684 - -1686. Solve -8/9*x**3 + 2/9*x**4 + 2/3*x**a + 0*x + 0 = 0.
0, 1, 3
Let 57/2*q**4 + 115/2*q**3 + 75/2*q**2 + 9/2*q**5 + 0*q + 0 = 0. Calculate q.
-3, -5/3, 0
Suppose n - 4*z = -n - 28, -5*n = -2*z + 54. Let s = -5 - n. Factor 3*m**3 + 0*m**5 + 4*m**4 - m**3 + 2*m**s.
2*m**3*(m + 1)**2
Let a = -3 - -7. Suppose -5*s = -2*c - 19, -5*c + 19 = a*s - 16. Determine l, given that -103*l - 7*l**c - 45*l**4 - 8*l**3 + 98*l + 25*l**2 = 0.
-1, 0, 1/3
Let z(h) be the first derivative of 2/3*h**3 - 2 + 1/15*h**5 - 3/2*h**2 - 1/3*h**4 + 0*h. Let y(t) be the second derivative of z(t). Factor y(a).
4*(a - 1)**2
Let t(k) be the first derivative of -5/3*k**3 + k**5 - 1 + 0*k**4 + 0*k + 0*k**2. Factor t(m).
5*m**2*(m - 1)*(m + 1)
Let u = -21820 - -240024/11. Factor 0 - u*b + 4/11*b**2 - 1/11*b**3.
-b*(b - 2)**2/11
Let z = 858/5 + -171. Let k be 3/(-6)*0/7. Solve 0*j + k - 3/5*j**2 + z*j**4 + 0*j**3 = 0.
-1, 0, 1
Let c(s) be the third derivative of s**8/252 + 2*s**7/15 + 5*s**6/6 - 361*s**5/45 + 68*s**4/3 - 32*s**3 - 301*s**2. Factor c(f).
4*(f - 1)**3*(f + 12)**2/3
Let a(w) be the second derivative of -w - 1/100*w**5 + 0 + 2/5*w**2 - 3/10*w**3 + 1/