680*m**t + 0*m + 1/160*m**5 - 1/24*m**3 - 1/192*m**4 + 0 + 6*m**2. Factor i(v).
-(v - 2)*(v - 1)*(v + 1)**2/8
Let t(n) = n**2 + n - 2. Let u(q) = -q**3 - 69*q**2 - 1023*q + 2318. Let f(w) = -6*t(w) - 2*u(w). Let f(h) = 0. Calculate h.
-34, 2
Let n(y) be the second derivative of y**6/2 + 29*y**5/4 + 105*y**4/4 - 75*y**3/2 - 125*y**2 - 300*y. Factor n(c).
5*(c - 1)*(c + 5)**2*(3*c + 2)
Suppose -2*z + 12 = -5*b, 5*b - 3*b + 7 = 3*z. Let d be b/(-5) - (-8)/40. Factor 9/5 - 24/5*m + 0*m**3 + 18/5*m**2 - d*m**4.
-3*(m - 1)**3*(m + 3)/5
Let f(v) be the first derivative of 16 - 5*v**3 + 21/4*v**4 - 3*v**2 + 0*v. Factor f(r).
3*r*(r - 1)*(7*r + 2)
Let v(s) = -7*s**4 - 7*s**3 + 5*s**2 - s + 5. Let y(a) = 7 + 3*a**3 + 1 + 3*a**4 - 10 + a - 3*a**2. Let g(c) = -2*v(c) - 5*y(c). Solve g(i) = 0.
-3, 0, 1
Let v(d) = -8*d**3 + 12*d**2 + 92*d + 77. Let y(u) = 4*u**3 - 5*u**2 - 47*u - 38. Let s(z) = 2*v(z) + 5*y(z). Find h such that s(h) = 0.
-3, -3/4, 4
Let u(w) be the first derivative of -1/90*w**5 + 1/18*w**4 - 5 - 1/9*w**3 + w**2 + 0*w. Let y(t) be the second derivative of u(t). Let y(h) = 0. Calculate h.
1
Let m(i) be the third derivative of i**5/40 + i**4/16 - i**3/2 - i**2. Let m(x) = 0. What is x?
-2, 1
Let f(m) be the third derivative of -m**8/560 + 3*m**7/350 + 23*m**6/200 - 27*m**5/100 - 11*m**4/20 + 12*m**3/5 + 793*m**2. Let f(w) = 0. What is w?
-4, -1, 1, 6
Let y(z) = -17*z**3 + 22*z**2 - z - 8. Let q(i) = -15*i**3 + 21*i**2 + i - 7. Let v(a) = 8*q(a) - 7*y(a). Solve v(f) = 0.
-1, 0, 15
Let v be (0 + -2)*(-120)/660 - (-4)/(-22). Let n = -353/3 - -3895/33. Factor v*p + n*p**2 + 0.
2*p*(2*p + 1)/11
Let d(t) be the third derivative of t**6/420 + 109*t**5/210 - 221*t**4/84 + 37*t**3/7 + 672*t**2. Factor d(o).
2*(o - 1)**2*(o + 111)/7
Let w(m) = -m**3 - 345*m**2 - 10089*m - 97559. Let x(j) = -344*j**2 - 10088*j - 97560. Let z(p) = 4*w(p) - 3*x(p). Factor z(v).
-4*(v + 29)**3
Let j(a) be the second derivative of a**5/10 - 11*a**4/2 - 23*a**3 - 35*a**2 - 147*a. Factor j(m).
2*(m - 35)*(m + 1)**2
Let m(d) be the first derivative of -2*d**5/25 + 3*d**4/5 + 2*d**3/15 - 6*d**2/5 - 2. Find f such that m(f) = 0.
-1, 0, 1, 6
Let h = 1052/455 + -174/91. What is y in -42/5*y**4 - 196/5*y**5 + h + 8*y**2 + 44*y**3 - 24/5*y = 0?
-1, -1/2, 1/7, 1
Let g be (-15)/18 + 1/(-15) + (-282)/(-180). Factor 2/9*j - 2/9*j**3 + g*j**2 - 2/3.
-2*(j - 3)*(j - 1)*(j + 1)/9
Let y(i) be the second derivative of 13*i + 1/36*i**4 + 0*i**2 + 1/60*i**5 - 1/90*i**6 - 1/18*i**3 + 0. Find b, given that y(b) = 0.
-1, 0, 1
Let z(i) = 2*i**3 - 90*i**2 - i + 45. Let p be z(45). Let b(c) be the second derivative of -1/15*c**4 + 0 + p*c**2 + 1/100*c**5 + 2/15*c**3 - 8*c. Factor b(s).
s*(s - 2)**2/5
Let w(g) be the first derivative of g**5 + 15*g**4/4 - 10*g**3/3 - 30*g**2 - 40*g - 102. Suppose w(s) = 0. What is s?
-2, -1, 2
Suppose -4*m + 5*g + 1 + 5 = 0, 5*g - 6 = m. Factor -27*s + 31*s + m*s**2 + 16 + 16*s.
4*(s + 1)*(s + 4)
Let u(l) = -9*l**3 - 8*l**2 - 15*l - 4. Let q(x) = 2*x**3 - x**2 + x. Let n(z) = -6*q(z) - 2*u(z). Factor n(h).
2*(h + 1)*(h + 2)*(3*h + 2)
Let o(b) be the third derivative of b**8/2352 - 11*b**7/1470 + 19*b**6/840 - 3*b**5/140 + 87*b**2. Find l such that o(l) = 0.
0, 1, 9
Let a = 148 + -729/5. Let l(h) be the first derivative of 1 - 6/5*h - 1/2*h**4 - 26/15*h**3 - a*h**2. Factor l(c).
-2*(c + 1)**2*(5*c + 3)/5
Let j be (-2)/10*(-5 - 1). Let p = 26/387 + 257/1935. Determine m, given that -8/5 + p*m**3 + 12/5*m - j*m**2 = 0.
2
Let g(u) = -3*u**3 - 33*u**2 + 2*u + 25. Let b be g(-11). Let z(q) be the third derivative of q**2 + 0 + 0*q**b + 0*q + 0*q**4 - 1/120*q**5. Factor z(t).
-t**2/2
Factor -14*m + 22*m + 5*m**2 + 40*m + 0*m**2 + 37*m.
5*m*(m + 17)
Let k = 2714/4725 - 2/675. Let a = 979/518 + -13/74. Factor 4/7 + a*p + k*p**3 + 12/7*p**2.
4*(p + 1)**3/7
Let y = -1216 - -1226. Let s(r) be the second derivative of y*r + 0*r**2 + 1/12*r**4 + 0 - 1/6*r**3. Let s(m) = 0. Calculate m.
0, 1
Factor 8/3*i + 0 - 1/3*i**4 - 14/3*i**2 + 7/3*i**3.
-i*(i - 4)*(i - 2)*(i - 1)/3
Let l(f) be the first derivative of 5*f**6/3 + 7*f**5 - 15*f**4/2 - 35*f**3/3 + 10*f**2 - 126. Suppose l(p) = 0. Calculate p.
-4, -1, 0, 1/2, 1
Let n(d) be the first derivative of -d**5/35 - 4*d**4/21 - 2*d**3/7 - 16*d + 33. Let u(c) be the first derivative of n(c). Determine o so that u(o) = 0.
-3, -1, 0
Let l(f) be the first derivative of 7*f**5/4 + 15*f**4/4 - 265*f**3/12 + 105*f**2/4 - 10*f + 34. Let l(r) = 0. What is r?
-4, 2/7, 1
Let o(z) = z**3 + 52*z**2 - 95*z + 42. Let a(s) = 52*s**2 - 96*s + 44. Let p(m) = 6*a(m) - 4*o(m). Factor p(c).
-4*(c - 24)*(c - 1)**2
Let d(p) = p**3 + 42*p**2 + 77*p + 40. Let j(o) = -6*o**3 - 253*o**2 - 462*o - 241. Let a(y) = -39*d(y) - 6*j(y). Determine f, given that a(f) = 0.
-38, -1
Let x(j) be the second derivative of -j**3 + 3/5*j**5 + 0 - 1/7*j**7 - 8/15*j**6 + 4/3*j**4 + 0*j**2 + j. Let x(u) = 0. What is u?
-3, -1, 0, 1/3, 1
Let j be (16/(-10))/(86/10 - (3 - -6)). Solve 12/7*n**3 + 48/7 - 48/7*n + 0*n**2 - 3/7*n**j = 0 for n.
-2, 2
Let o(z) = -z**5 + 17*z**4 - 198*z**3 + 262*z**2 + 1223*z + 729. Let g(a) = a**4 + a**3 + a**2 - a. Let l(d) = -24*g(d) - 3*o(d). Factor l(i).
3*(i - 9)**3*(i + 1)**2
Let y be (-2)/(-4) - 8694/12. Let o be 4/8*y/(-2). Suppose 2*q**2 - 180*q + o*q - 3*q**2 + 2 = 0. Calculate q.
-1, 2
Solve -5535*k**3 + 1899*k**2 + 5235*k**3 - 2*k**4 + 10*k**4 + 1444*k + 837*k**2 = 0.
-1/2, 0, 19
Let i(q) be the first derivative of 2/21*q**3 - 5/7*q**2 + 8/7*q - 27. Suppose i(r) = 0. What is r?
1, 4
Let r = 16 - 13. Factor -3*k**5 + 6*k**2 + 11 + 9*k - 8 + 0*k**2 - 6*k**r - 9*k**4.
-3*(k - 1)*(k + 1)**4
Find s such that -147980 + 13*s + 2*s**2 + 147980 = 0.
-13/2, 0
Let h be 10*8/(-32)*2 + 8. Factor 0 + 0*y**2 + 0*y + 2/5*y**4 + 4/5*y**h.
2*y**3*(y + 2)/5
Let q(m) be the first derivative of 2/51*m**3 - 10/17*m**2 + 50/17*m + 1. Suppose q(p) = 0. Calculate p.
5
Let i(m) be the second derivative of -m**9/19656 - m**8/3640 - m**7/2730 - 20*m**3/3 - 20*m + 1. Let b(d) be the second derivative of i(d). Solve b(g) = 0.
-2, -1, 0
Suppose 9 = -2*s - 1, -3*s - 18 = -h. Determine q so that -1/2*q**5 + 0*q**2 + q**h + 0*q**4 - 1/2*q + 0 = 0.
-1, 0, 1
Let z(j) be the first derivative of j**6/48 - j**5/40 - j**4/16 + j**3/12 + j**2/16 - j/8 + 116. Solve z(u) = 0.
-1, 1
Let z(g) be the first derivative of -3*g**4/4 - 5*g**3 + 3*g**2 - 6*g + 3. Let v(r) = -r**2 - r - 1. Let m(u) = -6*v(u) + z(u). Determine p so that m(p) = 0.
-4, 0, 1
Factor -162/7 - 2/7*a**2 + 36/7*a.
-2*(a - 9)**2/7
Suppose 25 + 32 = 3*c. Suppose 3*d = 29 + c. Determine m, given that -4*m - 4 + d*m**4 - 17*m**4 + 2*m**3 + 7*m**2 - 4*m**2 = 0.
-1, 2
Let z(o) be the first derivative of -o**6/9 + 11*o**5/15 - 7*o**4/4 + 16*o**3/9 - 2*o**2/3 + 47. Solve z(q) = 0.
0, 1/2, 1, 2
Let b(d) = -d**3 + 208*d**2 - 1469*d + 2170. Let i(q) = -69*q**2 + 489*q - 723. Let a(t) = 3*b(t) + 8*i(t). Solve a(u) = 0 for u.
2, 11
Let a(s) be the second derivative of -15*s**7/14 + 11*s**6/6 + 79*s**5/4 - 165*s**4/4 + 15*s**3 + 2*s - 452. Let a(n) = 0. What is n?
-3, 0, 2/9, 1, 3
Let i(t) be the first derivative of 2*t**5/25 + t**4/5 - 2*t**3/3 - 6*t**2/5 + 121. Factor i(x).
2*x*(x - 2)*(x + 1)*(x + 3)/5
Let d be -1 + -1 + 4 + -3. Let s be d/(-8) + (-69)/(-24). Solve 21*r - 108*r**s + 5*r + 0 - 8 + 84*r**5 + 46*r**2 - 38*r**4 - 2*r = 0 for r.
-1, -1/2, 2/7, 2/3, 1
Let h(d) = d**3 + 2*d + 1. Let s(p) = -3*p**4 + 12*p**2 - 18*p - 15. Let z(r) = 6*h(r) + s(r). Factor z(v).
-3*(v - 3)*(v - 1)*(v + 1)**2
Suppose -4*p + 173 + 95 = 0. Determine j, given that 5*j**5 - 13*j - 11*j**3 - 20*j**4 + 58*j + j**3 + 127*j**2 - p*j**2 = 0.
-1, 0, 3
Let t(m) be the third derivative of m**8/560 - m**7/210 - 11*m**6/600 + 7*m**5/100 - m**4/30 - 2*m**3/15 + 14*m**2 - 1. Suppose t(b) = 0. Calculate b.
-2, -1/3, 1, 2
Let m be (-2 - -1) + -2 - -7. Solve -14*y**4 + m*y + 6*y**2 - 6*y**3 - 335 - 6*y**5 + 335 = 0.
-1, 0, 2/3
Let d be 13 + -20 + (870/21)/5. Factor 9/7*r**2 + 0 - d*r**3 + 3/7*r**4 - 3/7*r.
3*r*(r - 1)**3/7
Let d be (-4)/9*3*(-855)/1900. Let -d*a**2 - 3/5*a + 0 = 0. What is a?
-1, 0
Let g(c) be the third derivative of c**7/525 + c**6/150 - c**5/150 - c**4/30 + 17*c**2. Let g(f) = 0. Calculate f.
-2, -1, 0, 1
Let m = -375 - -375. Let l(y) be the