3*m - 50. Let r(i) be the first derivative of o(i). Solve r(y) = 0 for y.
-1, -1/2
Let a(f) be the third derivative of -f**7/105 + f**5/10 - f**4/6 - 745*f**2. Solve a(s) = 0.
-2, 0, 1
Suppose -8 = -14*f + 20. Let k be (80/(-135)*-3)/f. Factor 8/3*d - 14/9*d**2 + k.
-2*(d - 2)*(7*d + 2)/9
Let q(b) = -3*b - 11 + 2*b + 15 + b**2. Let h be q(0). Factor 0*f**3 + 0*f**h - f + f**3 + f**4 + 0*f**4 - f**2.
f*(f - 1)*(f + 1)**2
Let s(m) be the third derivative of m**8/560 - m**7/70 + 9*m**6/200 - 7*m**5/100 + m**4/20 + 3*m**2 - 3*m. Factor s(x).
3*x*(x - 2)*(x - 1)**3/5
Let l(v) be the second derivative of v**8/4480 + v**7/448 + v**6/240 + v**3 + 10*v. Let h(a) be the second derivative of l(a). Determine c so that h(c) = 0.
-4, -1, 0
Suppose 104/5*h + 4/5*h**2 - 224/5 = 0. Calculate h.
-28, 2
Suppose 69*x = 24*x. Factor 0*h + 2/11*h**3 - 4/11*h**2 + x.
2*h**2*(h - 2)/11
Let u = -52 + 62. Factor 20*p + 10*p**3 - 25*p**3 + 15*p**2 + u*p**3.
-5*p*(p - 4)*(p + 1)
Let b(k) = -5*k**3 + 65*k**2 - 115*k + 57. Let s(n) = -1. Let d(m) = -b(m) - 2*s(m). Factor d(r).
5*(r - 11)*(r - 1)**2
Suppose 26 + 40 = -6*m. Let n(j) = -56*j**2 - 86*j - 41. Let u(o) = 19*o**2 + 29*o + 14. Let w(f) = m*u(f) - 4*n(f). What is q in w(q) = 0?
-1, -2/3
Let t be (42/(10 - 16) - -7)/(-3). Determine z, given that t - 2*z**3 - 2/3*z**5 + 8/3*z - 8/3*z**4 + 8/3*z**2 = 0.
-2, -1, 0, 1
Suppose -3*d = -4*u + 13, 2*d + 2*u + 18 + 14 = 0. Let f(i) = i**2 + 11*i + 2. Let k be f(d). Factor -3*c**3 + 13*c**k - 2*c**2 - 12 - 2*c**2.
-3*(c - 2)**2*(c + 1)
Let y(g) be the third derivative of g**8/1008 - 2*g**7/105 + 53*g**6/360 - 53*g**5/90 + 4*g**4/3 - 16*g**3/9 + 103*g**2. Determine q so that y(q) = 0.
1, 2, 4
Let t(g) be the third derivative of g**7/315 - g**6/30 + g**5/10 + 204*g**2. Find i such that t(i) = 0.
0, 3
Let p(s) = 5*s**3 - 36*s**2 + 69*s - 38. Let k(i) = 7*i**3 - 36*i**2 + 69*i - 40. Let a(o) = 4*k(o) - 6*p(o). Factor a(t).
-2*(t - 34)*(t - 1)**2
Let c be 5/(-10)*28/(-2). Suppose -4*v = 2*k - 12, 0 = -4*k - 3*v + c*v. Determine m so that 12/7*m**k + 24/7*m + 16/7 + 2/7*m**3 = 0.
-2
Let f(t) be the third derivative of t**6/240 + t**5/120 - 7*t**4/16 - 15*t**3/4 + t**2 - 55. Find s, given that f(s) = 0.
-3, 5
Let q(t) = t**3 + 6*t**2 - 5*t - 9. Let l be q(-6). Factor -32*o - l*o**2 + 22*o + 37*o - 6.
-3*(o - 1)*(7*o - 2)
Let g(r) = 8*r**2 - 64*r + 61. Let m(z) be the first derivative of 4*z**3/3 - 16*z**2 + 30*z + 8. Let k(d) = 2*g(d) - 5*m(d). Factor k(j).
-4*(j - 7)*(j - 1)
Let f be (-75)/30 + (-10)/(-4). Let t(y) be the second derivative of 1/80*y**5 + 0 - 1/8*y**3 + f*y**4 + 1/4*y**2 + 2*y. Factor t(a).
(a - 1)**2*(a + 2)/4
Let d be ((-2)/9)/(50/60 + -9 + 8). Let u - 4/3*u**2 + 0 + d*u**4 - u**3 = 0. Calculate u.
-1, 0, 3/4, 1
Let z be (-10)/6*(-56)/280*(-12)/(-2). Factor -10/3 - 19/3*a + 2/3*a**z.
(a - 10)*(2*a + 1)/3
Factor 4*s**2 - 15 - 54 - 32*s + 24 - 35.
4*(s - 10)*(s + 2)
Solve 2/9*u**5 - 16/9*u**3 + 0*u**2 + 32/9*u + 0*u**4 + 0 = 0 for u.
-2, 0, 2
Let z(h) = -3*h - 4. Let b be z(-4). Factor 14*v**4 + 41*v**3 + 54*v**2 - 7*v**3 + 8*v - b + 18*v**3.
2*(v + 1)**2*(v + 2)*(7*v - 2)
Suppose 4*v - 8*v - 16 = 0. Let x be 5/2 + (-2)/v. Find g, given that 3*g**4 + 3 + 45 + 6*g**3 - 30*g**x + 72*g**2 - 96*g = 0.
2
Let a(m) be the first derivative of m**5 - 77*m**4/6 + 92*m**3/3 - 4*m**2 - 64*m/3 + 349. Let a(q) = 0. What is q?
-2/5, 2/3, 2, 8
Let f = 565 + -1796/3. Let n = -33 - f. Determine k so that 0*k + n*k**2 - 2/3 = 0.
-1, 1
Let n(f) = -5*f**2 - 101*f - 102. Let g(z) = 8*z**2 + 201*z + 203. Let w(u) = 3*g(u) + 5*n(u). Factor w(q).
-(q - 99)*(q + 1)
Let w(u) be the third derivative of -u**7/70 - u**6/10 - u**5/5 - 3*u**2 - 17. Factor w(i).
-3*i**2*(i + 2)**2
Let d(f) = f**2 + 25*f - 17. Let p be d(-17). Let c be p/(-595) - 1/(-7). Factor 0 - 2/5*h**2 + 2/5*h**3 - 2/5*h + c*h**4.
2*h*(h - 1)*(h + 1)**2/5
Let y = -11400 - -11403. Factor 0 - 6/7*j**2 + 0*j**y + 4/7*j + 2/7*j**4.
2*j*(j - 1)**2*(j + 2)/7
Let k be (-9)/(-2 + -1) + 1. Suppose 0 = -3*x + k*w, 7*w - 4*w = x. Solve -10*a**4 + 6*a**3 + x*a**3 + 6*a**2 + 12*a**4 + 2*a = 0.
-1, 0
Let n = -28 - -30. Factor -40 - 5 + q**2 - 2*q**2 + 6*q**n + 40*q.
5*(q - 1)*(q + 9)
Let q = -80 + 87. Suppose q*z - 4*a = 6*z + 23, 2*z = 4*a + 26. Factor -12/7*y**2 - 64/7 - 1/7*y**z - 48/7*y.
-(y + 4)**3/7
Let p = 1/10 - -7/5. Let j(i) be the second derivative of p*i**2 + 1/3*i**3 - 4*i + 0 + 1/36*i**4. Factor j(u).
(u + 3)**2/3
Let n(t) = 2*t**3 - 2*t**2 - 8*t - 4. Let y be (-10)/4*8/4. Let l(j) = -2*j**3 + j**2 + 7*j + 4. Let g(f) = y*n(f) - 6*l(f). Suppose g(u) = 0. Calculate u.
-2, -1, 1
Factor 0 + 0*m + 2*m**4 + 12/7*m**3 + 0*m**2 + 2/7*m**5.
2*m**3*(m + 1)*(m + 6)/7
Let k(r) be the third derivative of r**5/480 + 5*r**4/32 - 222*r**2. Factor k(h).
h*(h + 30)/8
Let s(c) be the first derivative of -c**6/36 + c**5/5 - 5*c**4/12 + 11*c**2/12 - c + 620. Find u such that s(u) = 0.
-1, 1, 2, 3
Let j(l) be the third derivative of -l**7/20160 - l**6/1152 + l**5/160 - 13*l**4/6 - 57*l**2. Let n(r) be the second derivative of j(r). Factor n(d).
-(d - 1)*(d + 6)/8
Let m(z) be the first derivative of 4*z**3/3 + 4*z**2 + 4*z - 65. Find b such that m(b) = 0.
-1
Let n(y) = -y**3 - 9*y**2 - 1. Let m be n(-11). Factor 0*l + 235*l**3 - m*l**3 - 3*l**4 + 0*l.
-3*l**3*(l + 2)
Factor 14 + 1/2*y**3 - 25/2*y - 2*y**2.
(y - 7)*(y - 1)*(y + 4)/2
Let x = -714 - -4999/7. Factor -x*t**2 + 0*t - 2/7*t**3 - 1/7*t**4 + 0.
-t**2*(t + 1)**2/7
Let a(z) be the second derivative of 1/48*z**4 + 0*z**2 + 0*z**3 + 0 - 3*z. Suppose a(v) = 0. Calculate v.
0
Let c = -17181 + 17181. Suppose -2/7*x**3 + c*x - 6/7*x**2 + 8/7 = 0. Calculate x.
-2, 1
Let s = 61/370 + 1/555. Let u(i) be the second derivative of 0*i**2 + 0 + 0*i**3 - 4*i - s*i**4. Let u(c) = 0. What is c?
0
Factor -4*k**4 - 345 - 40*k**3 + 1090*k + 830*k + 168*k**3 - 555 - 1144*k**2.
-4*(k - 15)**2*(k - 1)**2
Let v = -42 + 54. Factor 11 + v + 5*g**2 + 1 - 20*g - 4.
5*(g - 2)**2
Let v = 124 - 69. Suppose -3 + 183 - 300*i + v*i**4 - 50*i**3 - 50*i**4 + 32*i**2 + 153*i**2 = 0. Calculate i.
2, 3
Let s(i) be the third derivative of -i**8/112 - 4*i**7/35 - 2*i**6/5 - i**5/10 + 17*i**4/8 + 5*i**3 + 84*i**2. Suppose s(r) = 0. Calculate r.
-5, -2, -1, 1
Suppose -2*d + 6 = 0, 4*y + 3*d - 12 = 9. Let a(q) be the third derivative of 1/120*q**6 + 1/8*q**4 + 0*q + 0 + 3*q**2 - 1/20*q**5 - 1/6*q**y. Factor a(n).
(n - 1)**3
Let s be ((-3)/(-12) + 0)/(860/13760). Factor 4/3*h**3 + 5/6*h**s + 2/3*h**2 + 0 + 0*h + 1/6*h**5.
h**2*(h + 1)*(h + 2)**2/6
Let q = -1/887 - -974/77169. Let f = q + 82/435. Factor -2/5 + 0*w**2 + 3/5*w - f*w**3.
-(w - 1)**2*(w + 2)/5
Let i = 189845/6 + -31732. Let t = -91 - i. Factor 0*v - t*v**2 + 1/6.
-(v - 1)*(v + 1)/6
Let i be 1 + (-16)/14 - (-108)/(-28). Let c be (-3)/6 - (10/i)/1. Factor 2/3 + 22/3*b**c + 5*b.
(2*b + 1)*(11*b + 2)/3
Let a(d) be the first derivative of -527 + 519 - 15*d + 4*d**3 - 5*d**3 - 7*d**2 - 2*d**2. Determine o so that a(o) = 0.
-5, -1
Let g(o) be the third derivative of 5*o**8/336 - o**7/14 + o**5/3 + 178*o**2. Factor g(s).
5*s**2*(s - 2)**2*(s + 1)
Factor -4*o - o**2 - 31 + 31 - 5*o.
-o*(o + 9)
Suppose 26*g = 25*g + 12. Let l be -3 + (-1)/(-4) + 57/g. Determine c so that -5/2*c**l + 5 + 5/2*c = 0.
-1, 2
Let t(n) be the second derivative of -17*n + 0*n**2 - 1/15*n**5 - 1/15*n**6 - 1/63*n**7 + 0*n**4 + 0 + 0*n**3. Solve t(g) = 0 for g.
-2, -1, 0
Let o(b) = 5*b**3 + 2*b**2 + 11*b - 25. Let h(n) = -4*n**3 - 2*n**2 - 12*n + 24. Let u(v) = 7*h(v) + 6*o(v). Determine r so that u(r) = 0.
-3, 1, 3
Let b(c) = -2*c**3 - 15*c**3 + 13*c**2 + 2*c**4 + 4*c**3. Let w(f) = -6*f**4 + 40*f**3 - 40*f**2. Let i(d) = -16*b(d) - 5*w(d). Find l, given that i(l) = 0.
0, 2
Suppose 2*j - l - 14 = 2*l, 3*j = -3*l + 6. Suppose 3 + 0 = o. Factor 6*r**4 + 6*r**4 + 31 - 8*r**2 - j*r**o - 31.
4*r**2*(r - 1)*(3*r + 2)
Let r = 43/315 - -3/35. Let q be (-43)/(-72) - 276/736. Factor q*j - 4/9 + r*j**2.
2*(j - 1)*(j + 2)/9
Let x be (-4)/(-10)*4*(23 - 2639/116). Let 0 + 4/5*c**3 - x*c**4 - 4/5*c + 2/5*c**2 = 0. Calculate c.
-1, 0, 1, 2
Suppose -20/3*r - 1/6*r**2 + 0 = 0. What is r?
-40, 0
Let g(a) = -a**2 - a + 2. Let p(c) = 4*c**2 - 20*c + 160. Let x(z) = 8*g(z) + p(z). Factor x(r).
-4*(r - 4)*(r + 11)
Let b be (117/