7/252 + j**6/60 - 43*j**5/60 + 11*j**4/3 - 8*j**3/9 - 32*j**2 - 4*j + 135. Let y(v) = 0. What is v?
-12, -1, 2, 4
Let o(c) be the second derivative of 29*c + 13/96*c**4 - 2 + 1/160*c**5 + 11/16*c**2 + 23/48*c**3. Solve o(u) = 0.
-11, -1
Let b(p) be the second derivative of -p**4/3 + p**3/2 + 2*p**2 - 3*p. Let l(f) = 9*f**2 - 7*f - 9. Let o = -100 + 114. Let x(u) = o*b(u) + 6*l(u). Factor x(w).
-2*(w - 1)*(w + 1)
Let h(b) be the second derivative of 0 + 42*b + 0*b**2 + 0*b**4 + 1/225*b**6 - 2/25*b**5 + 0*b**3. What is f in h(f) = 0?
0, 12
Let y(b) be the first derivative of 3*b**4/20 + b**3 - 1188*b**2/5 - 30132*b/5 - 14422. Factor y(c).
3*(c - 31)*(c + 18)**2/5
Suppose 53*b - 791/2 + 1/2*b**2 = 0. Calculate b.
-113, 7
Let d(r) = r**3 - r**2 - 29*r. Let p be d(-5). Let q(h) = h**2 - 22. Let c be q(p). Factor 2/3*m**c - 4*m**2 - 16/3 - 10*m.
2*(m - 8)*(m + 1)**2/3
Factor -832/3*f + 2/9*f**3 + 5056/9 + 100/3*f**2.
2*(f - 4)**2*(f + 158)/9
Suppose -17 = -4*l + 95. Suppose 855 = p + 853. Determine b so that 29*b**4 - b**2 + 4*b**3 - l*b**4 + b**p = 0.
-4, 0
Let v(b) be the first derivative of -2*b**3/21 - 3148*b**2/7 - 4954952*b/7 - 4677. Suppose v(m) = 0. What is m?
-1574
Suppose 0*p + 4*p = 2*p - 5*s, 0 = -3*p + 4*s. Factor -2/5*x**3 - 4/5*x + 6/5*x**2 + p.
-2*x*(x - 2)*(x - 1)/5
Factor -4/9*p**3 - 32/9*p**2 + 64/3*p + 0.
-4*p*(p - 4)*(p + 12)/9
Let u = 15 - 34. Let y = -17 - u. Factor -5*z + 5*z**y + 2*z - 2*z**2 - 3*z.
3*z*(z - 2)
Let j be -6 - (-99)/15 - 106/10. Let b be 1 - ((-4)/j - (-174)/390). Let 0 - 2/13*a**2 + b*a**3 + 2/13*a**4 - 2/13*a = 0. Calculate a.
-1, 0, 1
Let a(c) be the first derivative of c**6/240 + 3*c**5/80 - c**4/8 - 35*c**3/24 + 75*c**2/16 - c + 114. Let l(w) be the first derivative of a(w). Factor l(r).
(r - 3)*(r - 1)*(r + 5)**2/8
Let a(p) = -3*p + 14. Let m be a(4). Let n = -20645 - -20645. Factor 0 + 8/5*u**m - 2/5*u**3 + n*u.
-2*u**2*(u - 4)/5
Let p be (74/(-111))/(0 + 12)*-393. Let l = -905/42 + p. What is d in -2/7*d**4 + 2/7*d - l*d**3 + 6/7*d**2 - 4/7 = 0?
-2, -1, 1
Factor -1 + 3 - 23 - 48*g - 9*g**2 - 9 - 6 + 3*g**3.
3*(g - 6)*(g + 1)*(g + 2)
Let -5*p**2 - 5/2*p**3 + 0*p + 0 + 5/2*p**5 + 5*p**4 = 0. What is p?
-2, -1, 0, 1
Factor 1/9*y**3 + 17/9*y**2 + 115/9 - 133/9*y.
(y - 5)*(y - 1)*(y + 23)/9
Let p(v) = 18*v**2 - 274*v + 64. Let o(y) be the third derivative of -y**3/6 + y**2 - 160. Let s(d) = 4*o(d) + p(d). Determine w, given that s(w) = 0.
2/9, 15
Let q = 253006 + -253004. Factor 0 - 1/3*i**q - 23/3*i.
-i*(i + 23)/3
Let a be 5/135*-3*15*3 - -5. Let k(z) be the third derivative of 0*z**3 + 1/45*z**5 + a*z + 0 + 7*z**2 + 1/18*z**4. Find i such that k(i) = 0.
-1, 0
Let b be 378/(-105)*(-54)/162. Solve -1/5*a**4 + b*a**3 - 6/5*a + 0 + 1/5*a**2 = 0 for a.
-1, 0, 1, 6
Let l = 40 + -35. Suppose 5*i - i + 3*d = 11, 5*i - 15 = -l*d. Solve -2*b + 0*b**2 + i*b**2 + 4 + 5*b - 9*b = 0.
1, 2
Factor -12*m**3 + 11363*m**5 + 18*m**4 - 11367*m**5 - 12*m**3 + 8*m**2.
-2*m**2*(m - 2)**2*(2*m - 1)
Suppose -7*u = -3*u + 20, -5*j + 15 = 4*u. Suppose -4*g = -5*s + 69 - 37, -s = -g - j. Let 12*o + 6*o**3 + 27/2*o**2 + 15/4 + 3/4*o**s = 0. Calculate o.
-5, -1
Let w(r) = -r**3 + r**2 - 9*r. Let s(n) = -n**3 + 1061*n**2 + 27*n. Let i(d) = s(d) + 3*w(d). Factor i(p).
-4*p**2*(p - 266)
Let j = 796 + -746. Find s such that j*s**2 - 53 - 71*s + 40*s**4 + 5*s**5 - 34*s - 37 + 100*s**3 = 0.
-3, -2, -1, 1
Let z(k) be the third derivative of k**5/20 - 45*k**4/8 - 23*k**3 - 13*k**2 + 6*k + 4. Find w such that z(w) = 0.
-1, 46
Let x(a) be the third derivative of a**5/150 + a**4/40 + 1914*a**2. Determine y, given that x(y) = 0.
-3/2, 0
Let l(n) be the third derivative of -n**5/20 + 29*n**4/8 - 69*n**3 - 3*n**2 + 420. Suppose l(g) = 0. What is g?
6, 23
Let g be 396/(-924) - 11385/(-7). Let k = 1628 - g. Determine q so that 1/3*q - 1/6*q**k - 1/6 = 0.
1
Let x(y) be the first derivative of y**7/840 - y**6/360 + 3*y**3 + 2*y**2 + 54. Let w(n) be the third derivative of x(n). Factor w(j).
j**2*(j - 1)
Let v = 470 - 457. Let 550*p**3 + 212*p**3 + v*p**5 + 1428*p**2 + 1107*p + 192 + 171*p**4 - 27*p - p**5 = 0. Calculate p.
-8, -2, -1/4
Let t(d) be the second derivative of 45/2*d**2 + 10 + 2*d**5 + 2*d + 1/6*d**6 - 25/6*d**4 - 20/3*d**3. Factor t(a).
5*(a - 1)**2*(a + 1)*(a + 9)
Suppose 102*m - 341 + 31 = -53*m. Let i = 213 - 631/3. Factor 0 + 2/3*l**3 - i*l**m + 8/3*l.
2*l*(l - 2)**2/3
Let i be (-17461)/(-9190) - 6/4. Let g = -168 - -843/5. Factor 1/5*n**4 + 1/5*n**2 - 3/5*n**3 + g*n - i.
(n - 2)*(n - 1)**2*(n + 1)/5
Let h be 9/((4 - 62) + 61). Factor 1/4*p**4 - 2 + 3*p - 3/4*p**h - 1/2*p**2.
(p - 2)**2*(p - 1)*(p + 2)/4
Let b(u) = 10*u**2 - 10*u + 30. Let v(q) be the first derivative of 2*q**3/3 - q**2/2 + 118. Let z(a) = -b(a) + 6*v(a). Factor z(y).
2*(y - 3)*(y + 5)
Let v = 161 + -161. Factor -10*k - 32*k**2 + v + 0 + 37*k**2.
5*k*(k - 2)
What is k in 2/5*k**4 + 758/5*k**2 - 14*k**3 + 360 - 498*k = 0?
1, 4, 15
Let l(k) be the second derivative of 5*k**4/12 + 285*k**3/2 - 430*k**2 - 3910*k. Factor l(w).
5*(w - 1)*(w + 172)
Let p(x) = x**3 + 2*x**2 - 9*x + 2. Let s be p(-4). Factor 23*q**4 - s*q + 3*q**3 - 26*q**4 + 3*q**2 + 3*q.
-3*q*(q - 1)**2*(q + 1)
Let j(h) be the second derivative of -h**4/90 - 1168*h**3/15 - 1023168*h**2/5 - 2*h - 278. Factor j(g).
-2*(g + 1752)**2/15
Let g(a) be the first derivative of -1/3*a**3 - 40 + 2*a**2 + 0*a. Factor g(z).
-z*(z - 4)
Let p(c) = -50*c**3 - 92*c**2 - 20*c + 4. Let v(g) = -3*g**3 - 2*g**2 - g + 1. Let o(n) = p(n) - 4*v(n). Factor o(s).
-2*s*(s + 2)*(19*s + 4)
Let x(g) be the first derivative of -g**4/14 + 14*g**3/3 + 101*g**2/7 + 102*g/7 + 3699. Suppose x(w) = 0. What is w?
-1, 51
Find q such that 4*q**3 + 2187*q**2 - 138*q**2 - 5004*q + 447*q**2 + 2504 = 0.
-626, 1
Let l be -1406*(-4 + (-4 - (-6 + -3))). Let j = l + 1409. Factor 17/2*c**2 + j*c**3 + 9/2*c - 1.
(c + 1)*(c + 2)*(6*c - 1)/2
Let q(k) be the second derivative of 3*k**5/20 + 133*k**4/2 + 265*k**3/2 + k + 10. Suppose q(i) = 0. What is i?
-265, -1, 0
Let n(l) = 15*l**5 + 1135*l**4 - 5*l**3 - 5*l**2 - 5*l. Let a(w) = 8*w**5 + 567*w**4 - 3*w**3 - 3*w**2 - 3*w. Let c(r) = -5*a(r) + 3*n(r). Factor c(v).
5*v**4*(v + 114)
Let a(w) be the first derivative of w**6/2 + 1098*w**5/5 - 3*w**4/4 - 366*w**3 - 550. What is g in a(g) = 0?
-366, -1, 0, 1
Suppose -16*y - 38 - 58 = 0. Let r be -11*(476/(-77) - y). Factor 1/6*n**r + 8/3 + 4/3*n.
(n + 4)**2/6
Let l(s) be the second derivative of -s**8/2240 + s**7/120 - s**6/24 - 19*s**4/3 + s**2 - 21*s. Let v(h) be the third derivative of l(h). What is z in v(z) = 0?
0, 2, 5
Let h(c) = 2*c**3 + 2*c**2 + 12*c. Let l(p) = -15*p**3 + 81*p**2 + 339*p + 315. Let m(v) = -6*h(v) - l(v). Solve m(g) = 0.
-3, -1, 35
Let j(t) be the third derivative of -3*t**5/20 + 31*t**4/4 - 20*t**3 - 3*t**2 + 3*t + 135. Factor j(p).
-3*(p - 20)*(3*p - 2)
Let v = 822 - 790. Let w be (8/54)/(v/96). Suppose 2/9 + 4/9*u + 0*u**2 - 2/9*u**4 - w*u**3 = 0. Calculate u.
-1, 1
Let w(p) = 40*p - 372. Let u be w(12). Suppose 0 = -17*a + u - 74. Find k such that 3/7*k**a + 3/7*k + 0 = 0.
-1, 0
Let a(n) be the third derivative of 0 + 0*n + 17/64*n**4 - 78*n**2 + 1/2*n**3 + 1/80*n**5. Factor a(r).
3*(r + 8)*(2*r + 1)/8
Suppose 147*g - 4 = 145*g. Factor -47*a + a**2 + 9*a - 19*a - 51*a**2 - 55*a**g + 54 + 6*a**3.
3*(a - 18)*(a + 1)*(2*a - 1)
Let o(s) be the third derivative of s**9/3024 - s**7/168 + s**5/30 + 8*s**3 - 19*s**2. Let p(u) be the first derivative of o(u). Suppose p(l) = 0. Calculate l.
-2, -1, 0, 1, 2
Let x(l) be the first derivative of l**5/10 - 53*l**4/8 + 49*l**3 - 143*l**2 + 188*l + 501. Let x(d) = 0. Calculate d.
2, 47
Let l(b) = -7*b**4 + 176*b**3 + 1416*b**2 - 6*b. Let k(d) = -16*d**4 + 353*d**3 + 2828*d**2 - 13*d. Let t(g) = -6*k(g) + 13*l(g). Determine y so that t(y) = 0.
-18, -16, 0
Let k = 50 + -50. Suppose 2*r - 4*t + 8 = -k*r, -4 = -5*r + 4*t. Factor 3*z**2 + z**2 - 6*z**3 - 6*z**3 + 4*z**2 + r*z**4.
4*z**2*(z - 2)*(z - 1)
Let x = -655550 - -655553. Suppose 4 - 62*k + 189*k**2 + 799/2*k**x + 289/2*k**4 = 0. What is k?
-2, -1, 2/17
Let c(g) be the first derivative of -5*g**4/12 - 85*g**3/9 - 50*g**2 + 1058. Find j, given that c(j) = 0.
-12, -5, 0
Let a(k) be the third derivative of k**9/90720 - k**7/7560 + k**5/720 - 17*k**4/6 +