e second derivative of -h**4/72 + 2*h**3/9 + 5*h**2/3 + 945*h + 5. Let x(c) = 0. Calculate c.
-2, 10
Let p = 463 - 460. Factor 49*q + q - 42*q**2 - 30*q**p - 40 + 10*q**3 + 57*q**2 - 5*q**4.
-5*(q - 1)**2*(q + 2)*(q + 4)
Let p be 34/18 - 10/(-90). Suppose 0 = 2*n - 6 + p. Factor n*u**2 - 9*u + 3*u + 4*u.
2*u*(u - 1)
Factor -70*i - 4*i**3 + 88*i - 12*i**3 - 220*i - 128 + 284*i**2 - 238*i.
-4*(i - 16)*(i - 2)*(4*i + 1)
Let v be (-682)/(-8) - 104/416. Let p be (-444)/(-195) - 102/v. Factor -2/13*w**2 + p*w + 0.
-2*w*(w - 7)/13
Let g(r) = -9*r**3 + 45*r**2 - 126*r + 112. Let d(c) = -145*c**3 + 720*c**2 - 2015*c + 1790. Let m(s) = -4*d(s) + 65*g(s). Solve m(a) = 0.
2, 3, 4
Let o(t) = -3*t**2 - 98*t - 498. Let d(b) = b**2 + b + 1. Let a(z) = -z**2 - 23*z + 48. Let i be a(-25). Let l(x) = i*d(x) + o(x). Let l(p) = 0. What is p?
-10
Let d(c) = -23*c**3 - 23*c**2 + 120*c + 34. Let n = 134 - 125. Let w(j) = -93*j**3 - 90*j**2 + 480*j + 135. Let o(a) = n*d(a) - 2*w(a). Factor o(s).
-3*(s - 2)*(s + 3)*(7*s + 2)
Let f(z) = -2*z**3 - 12*z**2 - 2*z + 9. Let v be f(-6). Factor -9*n**2 - 7*n**2 + v*n**2 - 5*n**2 + 2500 + 100*n + n**2.
(n + 50)**2
Factor -34*j**3 + 0*j + 1/3*j**5 + 31/3*j**4 + 0 + 0*j**2.
j**3*(j - 3)*(j + 34)/3
Let w = 26857/53722 - -2/26861. Determine x so that 1/2*x - w*x**3 - 3/2*x**2 + 3/2 = 0.
-3, -1, 1
Let c(w) be the first derivative of 0*w - 5/8*w**4 + 3/2*w**5 - 5/2*w**3 + 5/12*w**6 + 0*w**2 + 168. Find d such that c(d) = 0.
-3, -1, 0, 1
Let x = -12 + 17. Suppose -10*c + x*c = -20. Suppose c*g**2 + 22 - 46 - 8*g + 24 = 0. What is g?
0, 2
Let c(f) = -50*f**2 - 835*f + 7365. Let a(g) = -7*g**2 - 119*g + 1052. Let b(u) = 15*a(u) - 2*c(u). Factor b(r).
-5*(r - 7)*(r + 30)
Let z be (-10)/75*108/(-6). Let s(v) be the first derivative of -72/5*v**2 - z*v**3 - 192/5*v - 3/20*v**4 - 23. Determine w, given that s(w) = 0.
-4
Let z be (1/(-3))/((-810)/(-4374)) + 2. Suppose z*w**2 + 0 - 6*w = 0. Calculate w.
0, 30
Let s = 2653051/238105 + 17/34015. Factor -8/7*j**3 + s*j - 16/7 - 54/7*j**2.
-2*(j - 1)*(j + 8)*(4*j - 1)/7
Let b(u) be the first derivative of 38*u**3 + 117*u**2/2 + 3*u - 3439. Factor b(p).
3*(p + 1)*(38*p + 1)
Let b(w) be the first derivative of -w**6/360 + w**5/10 + w**3 + 3*w - 58. Let o(i) be the third derivative of b(i). Find m, given that o(m) = 0.
0, 12
Let o(t) be the third derivative of t**7/840 + t**6/90 + t**5/30 + 13*t**3/6 - 46*t**2. Let l(w) be the first derivative of o(w). Solve l(i) = 0 for i.
-2, 0
Let q(z) be the third derivative of z**6/160 - z**5/40 - z**4/8 + z**3 + 743*z**2. Factor q(g).
3*(g - 2)**2*(g + 2)/4
Let g(q) be the second derivative of 4*q**7/147 - 2*q**6/35 - 13*q**5/35 + 6*q**4/7 + 40*q**3/21 - 48*q**2/7 - 91*q. Let g(b) = 0. Calculate b.
-2, -3/2, 1, 2
Let y(x) be the third derivative of -x**7/525 - 7*x**6/150 - x**5/6 - x**4/5 - 48*x**2 - 4*x. Find s such that y(s) = 0.
-12, -1, 0
Let g = 3320 + -3320. Let c(s) be the third derivative of g - 12*s**2 + 11/40*s**5 + 0*s + 121/1200*s**6 + 1/15*s**3 + 1/5*s**4. What is b in c(b) = 0?
-1, -2/11
Determine o, given that -2/5*o**3 - 34/5*o**2 - 112/5*o - 104/5 = 0.
-13, -2
Let p(y) be the second derivative of 2*y + 0*y**2 + 1/30*y**6 + 34 + 1/3*y**3 + 1/21*y**7 + 1/12*y**4 - 3/10*y**5. Solve p(c) = 0.
-2, -1/2, 0, 1
Let m be -18 - ((-649)/22 + 10). Let s(y) be the second derivative of -1/14*y**7 + 3/5*y**6 + 41*y + 0 + 5/2*y**4 - m*y**3 - 9/5*y**5 + 0*y**2. Factor s(t).
-3*t*(t - 3)*(t - 1)**3
Let n = 219615/18239 + 2/793. Let f = n + 3029/161. Determine y so that f*y + 2/7*y**3 + 432/7 + 36/7*y**2 = 0.
-6
Let v = -3577 - -3581. Let r(g) be the second derivative of -1/10*g**5 + 20*g + 0*g**3 + 0 - v*g**2 + 1/2*g**4. Determine p, given that r(p) = 0.
-1, 2
Let y(h) = -14746*h + 117970. Let u be y(8). Determine f, given that -2/9*f**3 + 0 + 2*f + 0*f**u = 0.
-3, 0, 3
Let t(k) = k**2 + 11*k - 82. Let a(g) = 6*g**2 + 66*g - 503. Let s(z) = -6*a(z) + 39*t(z). Factor s(f).
3*(f - 4)*(f + 15)
Let u(x) = x**3 + 14*x**2 - 29*x - 8. Let b be u(-17). Let s = b - -384. Solve 3*g**3 + 0*g**s + 3/2*g**4 - 3/2 - 3*g = 0.
-1, 1
Let u be 5*4/12 + (-11)/(-33). Factor 27*i**2 + 30*i**u - 28*i + 29*i**2 - 90*i**2.
-4*i*(i + 7)
Let d(k) be the third derivative of k**5/16 + 455*k**4/24 + 605*k**3/24 - 187*k**2 - 4*k. Suppose d(m) = 0. Calculate m.
-121, -1/3
Suppose 6*p + 54 = 2*j + 9*p, 0 = 6*j + 2*p - 106. Let h(l) be the second derivative of -1/14*l**4 - 2/7*l**2 - j*l + 5/21*l**3 + 0. Factor h(i).
-2*(i - 1)*(3*i - 2)/7
Let q(l) be the third derivative of -l**6/24 + 53*l**5/12 + 25*l**4/2 - 270*l**3 - l**2 - 2*l - 1220. What is n in q(n) = 0?
-3, 2, 54
Let a be 25/105*540/675. What is m in -2/3 + 26/21*m + a*m**2 = 0?
-7, 1/2
Let s(g) = g**2 - 6*g - 34. Let w be s(10). Suppose -3*t = -a, -8 = -a - w*t + t. Factor -24 + 0*y**2 - 78*y**2 - 21*y**4 - 62*y + 96*y**4 - 46*y + 135*y**a.
3*(y - 1)*(y + 2)*(5*y + 2)**2
Let j(o) be the third derivative of -o**7/2520 - o**6/360 - o**5/120 - o**4/8 + o**3/2 - 34*o**2. Let h(n) be the second derivative of j(n). Factor h(k).
-(k + 1)**2
Let l = 11502119/11 + -1046855. Let f = 1208 + l. Factor 0 - 8/11*r - f*r**3 + 8/11*r**2.
-2*r*(r - 2)**2/11
Let w(d) be the second derivative of -d**5/90 + 41*d**4/54 + 160*d. Let w(x) = 0. What is x?
0, 41
Let b(c) be the first derivative of -c**6/15 + 16*c**5/25 + 9*c**4/10 + 1162. Suppose b(i) = 0. What is i?
-1, 0, 9
Suppose 0 = 10*m + 3*m + 13. Let t(c) = -c - 1. Let q(i) = i**3 + 2*i**2 - 1. Let s(k) = m*t(k) + q(k). What is z in s(z) = 0?
-1, 0
Let i(t) be the first derivative of 2*t**5/15 - 5*t**4/6 - 2*t**3 + t**2 - 75*t + 131. Let d(f) be the second derivative of i(f). Factor d(h).
4*(h - 3)*(2*h + 1)
Let p = -1/237 + 211/79. Let t be 1/(-4) + (-1005)/(-180). Factor -p*k + t + 1/3*k**2.
(k - 4)**2/3
Let r = -9554/13 + 735. Let j(p) be the first derivative of r*p**4 - 2/65*p**5 + 0*p**3 + 0*p**2 + 0*p + 18. Determine c so that j(c) = 0.
0, 2
Let z(q) be the third derivative of -2*q**7/315 - 16*q**6/45 + 11*q**5/15 + 8190*q**2. Factor z(m).
-4*m**2*(m - 1)*(m + 33)/3
Let k be ((84/(-40))/7)/((-4152)/58820). Solve 1/4*t**2 - k*t - 9/2 = 0.
-1, 18
Let t(m) = 230*m**2 + 1151*m - 61. Let n(f) = -115*f**2 - 576*f + 31. Let k(r) = 11*n(r) + 6*t(r). What is s in k(s) = 0?
-5, 1/23
Let a(w) be the third derivative of 5/144*w**6 - 2/315*w**7 - 19/180*w**5 + 115*w**2 + 0*w + 0 + 1/2016*w**8 - 2/9*w**3 + 7/36*w**4. Find z such that a(z) = 0.
1, 2
Let k(a) = a**3 + 6*a**2 - 3*a - 14. Let z be k(-4). Suppose -2*l + 4*q - z = -7*l, 0 = 5*q - 25. What is u in 3352 - 3352 + u + u**l = 0?
-1, 0
Let c be -2*(1176/2548)/(3/(-2)). Let g = 2259/13 - 173. Find z such that -g + 2/13*z**2 + c*z = 0.
-5, 1
Let d = 1313261/175102 - -2/87551. Factor 1/2*m**2 + d - 8*m.
(m - 15)*(m - 1)/2
Suppose 0 = -2*i + 978 - 966. Let r be (8 - 265/35)*21/i. Factor 1/4*h**3 + r*h + 0 - 7/4*h**2.
h*(h - 6)*(h - 1)/4
Let a(q) be the first derivative of q**6/3 - 24*q**5/5 - 98*q**4 - 1012*q**3/3 - 477*q**2 - 308*q + 108. Solve a(m) = 0 for m.
-7, -1, 22
Let y = -7 + 11. Let n be 60*42/(-504)*(8/(-10))/((-84)/(-6)). Find s such that -2/7*s**5 - n*s + 4/7*s**3 + 0 + 0*s**2 + 0*s**y = 0.
-1, 0, 1
Let f(j) = 2*j**3 + j**2 - j. Let c be f(2). Factor q**4 - 25*q**3 - 3*q**2 - 8 + 133*q - 119*q + 39*q**3 - c*q**3.
(q - 4)*(q - 1)**2*(q + 2)
Let o(u) = 5*u**5 - 125*u**4 + 125*u**3 - 5*u + 5. Let w = 562 + -559. Let n(x) = 2*x**5 - 62*x**4 + 63*x**3 - 3*x + 3. Let r(l) = w*o(l) - 5*n(l). Factor r(c).
5*c**3*(c - 12)*(c - 1)
Let c be 2472/10*30/9. Factor 133*g - c - 328 - 37*g + g**2 - 3*g**2.
-2*(g - 24)**2
Find c, given that 53*c**2 - 90*c - 3*c + 49*c**3 - 78 + 34*c**2 - 12 + 44*c**3 + 3*c**4 = 0.
-30, -1, 1
Let p = -222 - -153. Let v = 77 + p. Factor 3*z**3 + v*z - 88*z - 19*z**2 + 59*z**2 - 8*z**3.
-5*z*(z - 4)**2
Let 3870*y**4 - 4*y**5 - 1927*y**4 - 1939*y**4 + 20 + 56*y**3 + 76*y + 104*y**2 = 0. Calculate y.
-1, 5
Let k(u) be the first derivative of -2/3*u**3 + 145 - 6*u + 4*u**2. Find b such that k(b) = 0.
1, 3
Let y = -621582 + 621584. Let 34/3*m + 12 - 2/3*m**y = 0. Calculate m.
-1, 18
Suppose -5*m = -0*m - 25. Find b such that 2 + 11*b + 2*b**3 - 2*b**2 - 8*b - m*b + 0*b = 0.
-1, 1
Let x be 2/2*(24 - 10/(-440)*-1048). Let a = 209 - 