actor 7*a**2 - 22*a**m + 5*a + 3*a**2 + 2*a**3 + 5*a.
2*a*(a - 5)*(a - 1)
Let i(r) be the second derivative of r**4/108 + 5*r**3/3 + 88*r**2/9 + r - 3349. Factor i(l).
(l + 2)*(l + 88)/9
Let c be 2/4 - (3 + 5 + (-225)/30). Let s(i) be the third derivative of 1/60*i**5 + 17*i**2 + c*i + 32/3*i**3 + 2/3*i**4 + 0. Factor s(l).
(l + 8)**2
Let o(g) be the second derivative of -g**6/30 + 3*g**5/4 - 21*g**4/4 + 85*g**3/6 - 18*g**2 + 16*g + 8. Suppose o(w) = 0. What is w?
1, 4, 9
Let u(n) be the third derivative of -n**8/2520 + n**7/35 - 7*n**6/150 - 44*n**5/225 - 341*n**2 - 1. Let u(g) = 0. Calculate g.
-1, 0, 2, 44
Let v be ((14/21)/(10/(-15)))/(-12 + 1). Let -7/11 - 8/11*m - v*m**2 = 0. Calculate m.
-7, -1
Determine w so that 10*w**2 + 1664991*w**3 - 36*w - 118 - 26 - 1664989*w**3 = 0.
-6, -3, 4
Let v(i) = 11*i**3 + 906*i**2 + 3*i + 3. Let x(p) = 20*p**3 + 1810*p**2 + 5*p + 5. Let g(r) = 5*v(r) - 3*x(r). Factor g(q).
-5*q**2*(q + 180)
Let l(o) = -23*o**2 + 73*o + 337. Let f(n) = 8*n**2 + 1. Let j(y) = -3*f(y) - l(y). Suppose j(s) = 0. What is s?
-68, -5
Let t(u) be the second derivative of -u**4/36 + 17*u**3/9 - 20*u**2 + 35*u + 6. Suppose t(c) = 0. Calculate c.
4, 30
Let x(s) be the third derivative of 5/24*s**4 - 43*s + 1/120*s**6 + 1/420*s**7 + 0*s**3 + s**2 + 0 - 13/120*s**5. Suppose x(g) = 0. Calculate g.
-5, 0, 1, 2
Let x(i) = -i**2 + i + 4. Let u = 7 - 7. Let q be x(u). Factor q*v**3 - v**2 + 4 + 2*v - 4*v**2 - v**4 - 4.
-v*(v - 2)*(v - 1)**2
Let g = 122126 - 488485/4. Factor 2*s**2 + 3 + 1/4*s**3 + g*s.
(s + 1)*(s + 3)*(s + 4)/4
Let g(h) be the second derivative of -h**4/6 + 168*h**3 + 505*h**2 + 157*h. Suppose g(j) = 0. Calculate j.
-1, 505
Let d be 492200/(-31500) + 12/(-10). Let j = 172/9 + d. Solve 10/7*r**3 + 4/7*r**4 - 8/7*r + j - 2/7*r**5 - 20/7*r**2 = 0.
-2, -1, 1, 2
Let p(t) be the second derivative of -t**7/14 - t**6/2 - 27*t**5/20 - 7*t**4/4 - t**3 + t + 1143. Let p(m) = 0. Calculate m.
-2, -1, 0
Let y(w) be the second derivative of 3 + 1/36*w**4 - 1/60*w**5 - 1/3*w**2 - 1/270*w**6 - 6*w + 7/54*w**3. Find u, given that y(u) = 0.
-3, -2, 1
Let a(n) be the third derivative of 1/15*n**6 - 4 - 17/15*n**4 + 0*n - 16/15*n**3 - 31/75*n**5 + 2*n**2. What is l in a(l) = 0?
-1/2, -2/5, 4
Suppose 8*u = 2312 + 1808. Let d = u + -511. Determine h so that 2/5*h**5 + 6/5*h**d - 6/5*h**2 + 0 + 2/5*h**3 - 4/5*h = 0.
-2, -1, 0, 1
Determine o, given that -1/7*o**5 + 4/7*o**4 + 0*o + 4/7*o**3 + 0 - 16/7*o**2 = 0.
-2, 0, 2, 4
Let z = 11214431/11 + -1019485. Find n, given that z - 64/11*n**2 + 104/11*n - 6/11*n**3 = 0.
-12, -2/3, 2
Let b(m) be the third derivative of 12*m**2 + 0 + 7/24*m**4 - 1/15*m**5 + 0*m + 1/360*m**6 - 2/3*m**3. Let x(l) be the first derivative of b(l). Factor x(p).
(p - 7)*(p - 1)
Factor 59/4*x**2 - 1/8*x**3 - 204*x + 0.
-x*(x - 102)*(x - 16)/8
Let h = 540 - 246. Find w, given that -h*w**2 - 186*w**3 - 3*w**5 + 442 - 426 + 189*w + 51*w**4 + 227 = 0.
-1, 1, 9
Let p(b) = -2*b**2 + 3*b + 3. Let h(f) = 9*f**2 - 107*f + 174. Let z(a) = h(a) + 4*p(a). Suppose z(q) = 0. What is q?
2, 93
Let v(a) be the third derivative of -a**8/84 + 8*a**7/35 - 49*a**6/30 + 6*a**5 - 38*a**4/3 + 16*a**3 - 50*a**2. Let v(h) = 0. Calculate h.
1, 2, 6
Let f(i) = 2*i**2 - 84*i + 684. Let y be f(11). Solve 10/7*a**y + 2/7*a**3 - 10/7 - 2/7*a = 0 for a.
-5, -1, 1
Let t be (-368)/828*27 + 107/6. Factor -1/6*v**2 + t*v + 0.
-v*(v - 35)/6
Suppose -74*z - 30459 = -75*z. Factor -30449*h - 1 + z*h - h**2 - 8.
-(h - 9)*(h - 1)
Suppose -19*y - 140 = -42*y - 5*y. Let c(o) be the first derivative of -2/5*o**2 + 0*o + 2/3*o**3 + 1/15*o**6 - 17 - 2/25*o**y - 3/10*o**4. Factor c(d).
2*d*(d - 1)**3*(d + 2)/5
Let n be (221/(-3))/(13/(-39)) - -4. Determine z, given that -30*z**3 - 1585 - 165*z**4 + 10*z + 25*z**2 + 1585 + n*z**5 - 65*z**3 = 0.
-1/3, 0, 2/5, 1
Let p(m) = -19*m + m**3 - 73*m + 2*m - 14*m**2 - 3*m**3. Let r(q) = q**3 - q**2 - q. Let c(h) = -p(h) - 6*r(h). Determine i, given that c(i) = 0.
-3, 0, 8
Let i be -5*(-13 + (-3 - -14)). Let a(b) be the first derivative of 5/3*b**3 - 4*b**2 + i - 4*b. Let a(g) = 0. What is g?
-2/5, 2
Let i(v) be the second derivative of -v**5/160 - v**4/8 - 3*v**3/4 + 225*v**2/2 + 120*v - 1. Let k(j) be the first derivative of i(j). Factor k(x).
-3*(x + 2)*(x + 6)/8
Let r = 235 + -238. Let h be ((-205)/(-70)*2 - 2) + r. What is n in -4/7*n**3 - 4/7*n**2 + 6/7*n - 2/7*n**5 - 2/7 + h*n**4 = 0?
-1, 1
Let l = -36 - -51. Let a(x) = 12*x - 4. Let b be a(2). What is z in -b*z - 2*z**2 + l*z**3 + 2*z**2 + 5*z**4 = 0?
-2, 0, 1
Let f(g) = g**3 - 24*g**2 - 28*g + 33. Let l be f(25). Let r = -25 - l. Factor 2 - 16*j**3 - j**2 - j - j**2 + r*j**3.
(j - 2)*(j - 1)*(j + 1)
Let h(z) be the third derivative of -86*z - 2*z**4 + 0*z**3 + 2*z**2 + 0 - 4/15*z**5 - 1/90*z**6. Factor h(v).
-4*v*(v + 6)**2/3
Let l(m) = -733*m - 2195. Let q be l(-3). Let z(t) be the first derivative of 3*t**q - 31 + 0*t - 8/5*t**5 - 4*t**2 + 4*t**3. Factor z(w).
-4*w*(w - 2)*(w + 1)*(2*w - 1)
Let y(g) be the second derivative of -g**4/72 - g**3/4 + 5*g**2/6 - 218*g - 1. Let y(p) = 0. Calculate p.
-10, 1
Let d(x) be the first derivative of x**5/45 + x**4/9 + 4*x**3/27 + 513. Factor d(r).
r**2*(r + 2)**2/9
Let z(y) be the first derivative of 2*y**3/9 + 176*y**2 + 46464*y + 791. Factor z(t).
2*(t + 264)**2/3
Suppose 3 = 3*y - 42. Let w(j) = j**2 + 30*j + 86. Let i be w(-27). Let -3*k**2 + 8*k**3 + k**5 + 32*k**4 + y*k**i - k**2 - 4*k**4 = 0. Calculate k.
-1, 0, 1/4
Find r, given that 18*r - 14*r**3 + 2*r - 22*r**2 - 3*r**2 - 11*r**3 + 20 - 82*r**5 + 5*r**4 + 87*r**5 = 0.
-2, -1, 1, 2
Let q(o) = -110*o**2 + 1540*o + 18586. Let h(j) = -48*j**2 + 660*j + 7965. Let a(z) = -16*h(z) + 7*q(z). Factor a(b).
-2*(b - 121)*(b + 11)
Let p(w) be the third derivative of -w**7/2520 - w**6/720 + w**5/20 - 4*w**4 + 2*w**2 + 5*w. Let a(g) be the second derivative of p(g). Factor a(z).
-(z - 2)*(z + 3)
Factor 3/5*f**2 + 1062/5*f + 93987/5.
3*(f + 177)**2/5
Let b(w) = w**2. Let j be b(-2). Suppose 5*a + 6 = n - j, 4*a = -4. Factor -5*c + 2 - 10 - 4*c + n*c + 4*c**2.
4*(c - 2)*(c + 1)
Let j = -93 + 30. Let d = 185 + j. Factor -4 + d*r + 5*r**2 - 6 - 117*r.
5*(r - 1)*(r + 2)
Let k(f) be the third derivative of 0*f**3 + 5*f**2 + 1/18*f**4 + 1/90*f**5 + 0 + 18*f. Find z such that k(z) = 0.
-2, 0
Let t be 41395/170 - 1/2. Suppose 249*g - t*g = 0. Factor 2/17*n**3 + g - 2/17*n**2 - 4/17*n.
2*n*(n - 2)*(n + 1)/17
Let v be (-2)/48 + 79233/38808. Let -13/3*h**v - 56/3*h - 80/3 - 1/3*h**3 = 0. Calculate h.
-5, -4
Suppose -4*h + 6*h = -y - 7, -2*y = -3*h - 21. Determine w so that 150 + 151 - 80*w - 34*w**y - 293 + 106*w**2 = 0.
2/17, 1, 2
Factor 37/7*y**2 - 999/7*y - 36 + 4/7*y**3.
(y - 12)*(y + 21)*(4*y + 1)/7
Suppose b = -4*b. Let w(y) = -3*y + 2. Let n be w(b). Find k such that -20*k**2 - 29*k**n + 52*k**2 - 15 + 12*k = 0.
-5, 1
Suppose 628*k - 633*k = -o - 18, -4*k - 2*o = 8. Let a be (1 + 8/(-12))*54/16. What is q in -3/8*q**k + 0 - a*q = 0?
-3, 0
Factor 0*m**2 + 1/3*m**5 + 1/3*m**3 + 0 + 0*m + 2/3*m**4.
m**3*(m + 1)**2/3
Let a = 208431 - 1042131/5. Determine k, given that -3*k**3 - 27/5*k**2 + a + 18/5*k = 0.
-2, -4/5, 1
Let -2*q**3 + 4/5*q**2 + 0 + 0*q = 0. What is q?
0, 2/5
Let p = -1230705 + 6153537/5. Let -6/5 + p*x**2 - 27/5*x**5 - 6/5*x**4 - 27/5*x + 54/5*x**3 = 0. Calculate x.
-1, -2/9, 1
Let f(s) be the second derivative of s**6/210 + 2*s**5/35 - 5*s**4/14 + 16*s**3/21 - 11*s**2/14 - 1200*s. Determine m so that f(m) = 0.
-11, 1
Find o, given that -9/2*o**4 - 635/2*o**3 + 314*o + 7/2*o**5 + 189/2*o**2 - 90 = 0.
-9, -1, 2/7, 1, 10
Let y be 2 - 3 - (-16)/10. Let t(o) be the first derivative of 0*o + 1/25*o**5 + y*o**3 + 0*o**2 - 3/10*o**4 + 13. What is d in t(d) = 0?
0, 3
Let g(c) be the first derivative of 5*c**4 - 11*c + 20/3*c**3 + 1/6*c**6 + 3/2*c**5 - 5 + 0*c**2. Let h(m) be the first derivative of g(m). Factor h(d).
5*d*(d + 2)**3
Find b such that 438/7*b - 2/7*b**2 + 440/7 = 0.
-1, 220
Let q(x) be the third derivative of -x**8/2184 + 8*x**7/1365 + x**6/39 + 2*x**2 + 137*x. Factor q(k).
-2*k**3*(k - 10)*(k + 2)/13
Determine j, given that 168540 - 1060*j + 5/3*j**2 = 0.
318
Let n(q) = -93*q**2 + 3822*q - 249. Let i(z) = -5*z**2 + 2*z - 5. Let s(r) = 5*i(r) - n(r). Determine j so that s(j) = 