+ 68*u(b). Solve q(o) = 0 for o.
1, 18
Let v(r) be the second derivative of 4*r**2 + 0 - 2/3*r**4 - 3*r + 1/3*r**3 - 1/10*r**5. Factor v(w).
-2*(w - 1)*(w + 1)*(w + 4)
Let l(h) be the first derivative of -h**7/210 + 7*h**6/180 - h**5/20 + 22*h**3/3 - 44. Let g(o) be the third derivative of l(o). Let g(a) = 0. Calculate a.
0, 1/2, 3
Let j = 31537/4 + -7826. Let b = -211/4 + j. Suppose -2*t + b*t**4 + 11/2*t**2 - 2 + 10*t**3 + t**5 = 0. What is t?
-2, -1, 1/2
Let v(p) be the second derivative of p**4/3 + 16*p**3 + 270*p**2 + 2104*p. Factor v(h).
4*(h + 9)*(h + 15)
Let d be ((-60)/(-388))/(-1)*(-28)/21. Let u = 371/388 - d. Factor -1/4*y**2 + 0 - u*y.
-y*(y + 3)/4
Let u(l) = l**3 - 7*l**2 + 12*l - 14. Let n be u(5). Let b(r) = -19*r**2 - 24*r + 35. Let x(w) = 20*w**2 + 25*w - 35. Let t(k) = n*x(k) - 5*b(k). Factor t(f).
5*(f - 1)*(3*f + 7)
Suppose -2*u - 3*o = 1, -3*o = 4*u - 0*o - 7. Let h be 1 - (-1 + (-2 - 0)). Factor 19*s**3 + 18*s - 5*s**4 + 33*s**2 - 7*s**3 + 3*s**u - s**h.
-3*s*(s - 6)*(s + 1)**2
Let x(n) be the first derivative of 9*n - 1/3*n**3 + 64 + 4*n**2. Factor x(d).
-(d - 9)*(d + 1)
Suppose a - 36 = -3*j, 16 + 37 = 4*j + 3*a. Let l(i) = 17*i**3 - 2*i**2 + 1. Let q be l(1). Factor 30*n**2 - j*n**3 + q*n**3 + n - n.
5*n**2*(n + 6)
Let m be (-30)/(-35) - 78/140. Let g(w) be the first derivative of 1/25*w**5 + 3/20*w**4 - 2/5*w + 1/15*w**3 - m*w**2 + 5. Find r such that g(r) = 0.
-2, -1, 1
Determine t so that -4457914 - 201*t**3 + 4457914 + 18*t**4 + 183*t**2 = 0.
0, 1, 61/6
Let w(z) be the second derivative of -65/6*z**3 - 60*z**2 - 14 - 3*z + 35/12*z**4. Let w(p) = 0. What is p?
-8/7, 3
Let c(w) = 5*w**2 + 59 - 341*w - 320*w + 717*w. Let m(k) = -55*k**2 - 615*k - 650. Let t(y) = 45*c(y) + 4*m(y). Factor t(g).
5*(g + 1)*(g + 11)
Let 6213/8*j**2 + 759*j + 315/2 + 345/2*j**3 - 21/8*j**4 = 0. What is j?
-3, -1, -2/7, 70
Determine y, given that -3/2*y**4 - 1629*y - 99*y**3 + 744*y**2 + 1971/2 = 0.
-73, 1, 3
Let y(f) be the third derivative of -92*f**2 + 4/3*f**3 - 3/35*f**7 + 0*f + 1/6*f**5 - 1/6*f**6 + 0 + f**4 - 1/84*f**8. Let y(v) = 0. What is v?
-2, -1, -1/2, 1
Factor -276*j**2 - 4*j + 138*j**2 + 2*j**3 - 5*j + 3*j + 138 + 4*j.
2*(j - 69)*(j - 1)*(j + 1)
Let k(z) = 21196*z + 487511. Let y be k(-23). Factor 14*o**2 + 3/2*o**y + 0 + 9/2*o.
o*(o + 9)*(3*o + 1)/2
Suppose 212 = -5*n + 4*j, -4*n + 16*j = 12*j + 172. Let b be (-78)/(-84) + 2 + n/28. Solve -9/4*y - b - 3/4*y**2 = 0.
-2, -1
Suppose 4*s + b = 21, 11391*s = 11393*s + 4*b - 56. Factor 20/3 - s*c - 2/3*c**3 - 4*c**2.
-2*(c - 1)*(c + 2)*(c + 5)/3
Find n such that -492*n**2 + 8*n**3 + 0 + 15129/2*n = 0.
0, 123/4
Let o(w) = -895*w + 11639. Let p be o(13). Factor -33/4*q**2 - 3*q**3 - 9/2*q + 0 + 3/4*q**p.
3*q*(q - 6)*(q + 1)**2/4
Let v(a) be the first derivative of -a**4/26 - 8*a**3/13 + 79*a**2/13 - 204*a/13 - 3709. What is u in v(u) = 0?
-17, 2, 3
Suppose 848 = 5*w + 133. Let u be ((-13)/(-39))/((-1)/(-3))*3. Suppose -6 - 12*q**2 - w*q**u + 8*q + 140*q**3 - 23*q = 0. What is q?
-2, -1
Let q = 81 - 78. Let 12*y**5 - 16*y**3 + 32*y**4 - 21*y**3 + 61*y**q - 8*y**3 = 0. Calculate y.
-2, -2/3, 0
Suppose -i - 9 = -3*m, -54*m + 104*m + 74 = 49*m + 4*i. Let w = 0 - 0. Find b, given that 50*b**2 + w + 1/2*b**4 + m*b**3 + 0*b = 0.
-10, 0
Let r(z) be the second derivative of -5*z**4/12 + 131*z**3/6 + 68*z**2 - 3*z + 335. Suppose r(v) = 0. What is v?
-1, 136/5
Let a(g) be the third derivative of -2*g**7/315 + g**6/90 + 4*g**5/15 - 14*g**4/9 + 32*g**3/9 - 94*g**2. Determine p, given that a(p) = 0.
-4, 1, 2
Let d(x) = 17*x + 22*x**2 + 3*x**3 + 4 - 17*x - 4*x**3. Let m be d(22). Factor 4*g**3 + 16 + 4*g**3 + g**5 - 23*g**2 - 2*g - g**3 + 7*g**m - 6*g.
(g - 1)**2*(g + 1)*(g + 4)**2
Let r be (2/(-6))/(6/(-18)). Let s(v) = v**3 - 4*v**2 + 5*v - 3. Let c be s(3). Solve -4*t**3 + 12*t - r - 7 + c - 3 = 0 for t.
-2, 1
Let o = 581576 - 581544. What is u in -o + 46/9*u**2 + 2/9*u**3 + 80/3*u = 0?
-12, 1
Let y = -10/1887 + 12590/1887. Factor -22/3 + y*j + 2/3*j**2.
2*(j - 1)*(j + 11)/3
Let s(p) = -10*p**4 - 20*p**3 - 5*p - 5. Let h(k) = -15*k**4 - 31*k**3 - 2*k**2 - 8*k - 8. Let n(z) = -5*h(z) + 8*s(z). Factor n(l).
-5*l**2*(l - 1)*(l + 2)
Let g(t) = t**3 + 8*t**2 + 13*t + 8. Suppose 0 = 5*z + j - 15 + 46, 26 = -5*z + 4*j. Let c be g(z). Solve -5 + 0*b**3 - 5*b**3 + 0 + 5*b - c*b**2 + 7*b**2 = 0.
-1, 1
Let r(k) be the third derivative of 7225*k**8/1344 - 731*k**7/6 + 16369*k**6/480 + 2051*k**5/120 - 97*k**4/24 - 7*k**3/3 + 7*k**2. Let r(l) = 0. What is l?
-2/17, 1/5, 14
Let f be (-5)/((((-770)/(-21))/11)/((-12)/9)). Suppose -5*s - 2*j + 31 = -0*s, -4*j - 3 = -3*s. Factor 25*a**2 + s*a + 1 - 1 - 30*a**f.
-5*a*(a - 1)
Let p(n) be the second derivative of -n**5/90 - 5*n**4/18 - n**3 - 13*n**2/9 + n - 201. Find v, given that p(v) = 0.
-13, -1
Let g(f) be the first derivative of f**4/30 - 32*f**3/45 + 13*f**2/5 - 42. Let g(j) = 0. Calculate j.
0, 3, 13
Let c(m) = m + 1. Let y be (-4)/14 - (-30)/(-42). Let a be c(y). Factor -4*i**4 - 5*i + 0*i**5 - 3*i**5 + a*i**4 + 4*i**5 + 4*i**3 + 2*i**2 + 2.
(i - 2)*(i - 1)**3*(i + 1)
Let l(c) be the first derivative of c**5/45 + c**4/18 + 119*c**2/2 - 54. Let p(h) be the second derivative of l(h). Determine f so that p(f) = 0.
-1, 0
Factor 71/5*x - 78/5 - 18/5*x**2 + 1/5*x**3.
(x - 13)*(x - 3)*(x - 2)/5
Let k(s) be the first derivative of 3*s**5/10 - 62*s**4/9 - 316*s**3/9 - 64*s**2/3 + 135*s + 100. Let f(z) be the first derivative of k(z). Factor f(j).
2*(j - 16)*(j + 2)*(9*j + 2)/3
Let b = -193 + 204. Let a(m) = -13*m + 143. Let z be a(b). Solve -1/2*q**4 + 1/2*q**2 + z*q + 0 + 3/4*q**3 - 3/4*q**5 = 0.
-1, -2/3, 0, 1
Let u be (15/(-9))/(24/3888). Let f be (-18*9/u)/(2/5). Factor 3/2*y + 0 - 15/4*y**2 + f*y**3.
3*y*(y - 2)*(2*y - 1)/4
Determine y so that -898*y - 403202 - 1/2*y**2 = 0.
-898
Suppose 4*a = 43 - 31. Factor -8*j**4 + 30*j**2 + 3*j**4 + 40*j - 22*j**a + 7*j**3.
-5*j*(j - 2)*(j + 1)*(j + 4)
Let k(m) be the third derivative of 0*m + 2/3*m**3 + 1/90*m**5 + 5/36*m**4 - 143*m**2 + 0. Factor k(g).
2*(g + 2)*(g + 3)/3
Let w = 405067/27636 + 87/9212. Let -20/3*x - w + 1/3*x**2 = 0. What is x?
-2, 22
Let z(y) = 11*y**4 - 209*y**3 + 211*y**2. Let s(v) = 6*v**4 - 105*v**3 + 106*v**2. Let n(w) = -13*s(w) + 7*z(w). Let n(c) = 0. What is c?
-99, 0, 1
Suppose -4*k - 64 = 2*j, 2*k = 6*k - 3*j + 54. Let c be -2*(57/(-60) + (-3)/k). Determine q, given that c*q**3 - 1/2*q**4 + 0*q + 0 - q**2 = 0.
0, 1, 2
Let l = -136 + 111. Let z(v) = v**2 + 21*v - 100. Let d be z(l). Find i, given that -1/2*i**2 + d - 1/2*i**5 + 1/2*i**4 - i + 3/2*i**3 = 0.
-1, 0, 1, 2
Let v(i) be the first derivative of i**8/336 + 2*i**7/105 + i**6/24 + i**5/30 + i**2/2 + 10*i + 78. Let b(h) be the second derivative of v(h). Factor b(s).
s**2*(s + 1)**2*(s + 2)
Suppose t + 5*g = -5, -g - 3 = -t - 8. Let v be (-3)/(2/t*150/40). Find c such that -178*c**3 + 0*c**4 - 4*c**2 - 3*c + c**v + 3*c**4 + 181*c**3 = 0.
-1, 0, 1
Factor -12*y**5 + 15*y**5 + 39*y**2 + 0*y**5 + 54*y**3 + 9*y**2 + 24*y**4 + 15*y.
3*y*(y + 1)**3*(y + 5)
Let p be 46/3 + (-1)/3. Let t(f) = -3*f**2 + 95*f + 37. Let n be t(32). Factor p*c - c**n - 4*c**5 + 0*c**5 - 5 - 10*c**2 - 10*c**3 + 15*c**4.
-5*(c - 1)**4*(c + 1)
Let z(n) = -5*n**2 + 5. Let c(f) = -2*f**2 + f + 1. Let g = 341 - 340. Let j(k) = g*z(k) - 2*c(k). Solve j(q) = 0 for q.
-3, 1
Let i(k) be the second derivative of -2*k**6/5 - 657*k**5/20 - 577*k**4/4 - 129*k**3 + 156*k**2 - 3502*k. Let i(b) = 0. Calculate b.
-52, -2, -1, 1/4
Let m(k) = k**3 - 252*k**2 - 5033*k - 9128. Let d(j) = 15*j**3 - 3282*j**2 - 65430*j - 118665. Let s(c) = -2*d(c) + 27*m(c). Let s(y) = 0. What is y?
-39, -2
Let v be 0 + 6 + (13 - 6) + -11. Factor h + 2*h + 2*h**v - 291*h**3 + 142*h**3 + 148*h**3.
-h*(h - 3)*(h + 1)
Let g = 684120 + -684100. Factor 2/5*q**2 + 250 + g*q.
2*(q + 25)**2/5
Let i be 2/(16/(-6906))*28/42. Let a = -575 - i. Factor -1/4*s**2 + a*s + 0 - 3/2*s**3.
-s*(2*s - 1)*(3*s + 2)/4
Let a(d) be the second derivative of -1/6*d**4 + 5/3*d**3 + 6*d**2 - 2 + 13*d. Let a(i) = 0. What is i?
-1, 6
Let n(b) be the second derivative of -b**8/17920 - b**7/1680 + b**6/384 + 19*b**4/3 - 73*b. Let j(d) be the third derivative of n(d). Let j(f) = 0. What is f?
-5, 0, 1
Let u = -289 + 291. Suppose -5*j + 9