*s**4/24 - s**3 + 27*s**2/2 + 11. Let k(h) be the second derivative of i(h). Factor k(f).
(f - 1)*(f + 6)
Let l be (-7)/((-21)/6) + 1. Solve -402*k + 402*k - 4*k**2 - 4*k**l = 0.
-1, 0
Let v(q) be the first derivative of -q**4/24 - 140*q + 133. Let j(n) be the first derivative of v(n). Let j(p) = 0. Calculate p.
0
Let d = -144 + 161. Let a(j) = -j - 3. Let w be a(-5). Factor -2*u**2 - 10 - w*u**3 + d - 7.
-2*u**2*(u + 1)
Let b(w) be the first derivative of 2*w**3/15 - 3*w**2/5 - 56*w/5 - 34. Factor b(g).
2*(g - 7)*(g + 4)/5
Find u, given that 1/10*u**5 + 0 - 6/5*u - 7/10*u**3 - 1/5*u**4 + 2*u**2 = 0.
-3, 0, 1, 2
Let t(r) be the second derivative of -r**4/12 - 289*r**3/3 - 83521*r**2/2 + 28*r + 27. Solve t(d) = 0 for d.
-289
Let j(u) be the third derivative of -u**6/840 + 13*u**5/280 - 5*u**4/7 + 48*u**3 - 126*u**2. Let v(t) be the first derivative of j(t). Solve v(s) = 0.
5, 8
Suppose -151 = 8*b - 183. Suppose 15 = v + b*k, 2*v + 2*k = 4*v. Determine s so that 0*s + 0 + 0*s**2 - 2/15*s**v = 0.
0
Let v(x) = -x**2 - 65*x - 8. Let z be v(-31). Let l = z - 5226/5. Let 0*b + l*b**4 - 2/5*b**5 - 2/5*b**3 + 0 + 0*b**2 = 0. Calculate b.
0, 1
Let l = 130155 + -130139. Factor -33/7*n**2 - l*n - 1/7*n**4 - 64/7 + 2*n**3.
-(n - 8)**2*(n + 1)**2/7
Factor -4890*q**2 - 4876*q**2 - 4880*q**2 - 53*q + q**3 + 14600*q**2 + 282.
(q - 47)*(q - 2)*(q + 3)
Let h(r) = -10*r**3 - 5*r**2 - 5. Suppose 104 - 9 = 19*y. Let s be 5*(y - 0)/(-5). Let d(m) = -m**3 - 1. Let c(l) = s*d(l) + h(l). Solve c(i) = 0 for i.
-1, 0
Factor -2/17*w**2 + 998/17*w - 996/17.
-2*(w - 498)*(w - 1)/17
Suppose -p - 20 = -2*d, -9871*d + 9863*d = 4*p - 224. Factor -49/2*i - 7*i**2 - 1/2*i**3 - p.
-(i + 1)*(i + 4)*(i + 9)/2
Suppose 96*p - 180 = -96*p + 177*p. Determine b so that -p*b**2 + 9/5 - 51/5*b = 0.
-1, 3/20
Let o(v) = 10*v**5 - 74*v**4 - 256*v**3 - 42*v**2 + 28. Let c(q) = 2*q**5 - 15*q**4 - 51*q**3 - 9*q**2 + 6. Let d(r) = -28*c(r) + 6*o(r). Factor d(n).
4*n**3*(n - 9)*(n + 3)
Let i = -68 + 192. Solve 792*n - 482*n**2 - 120 + i*n + 147*n**3 - 64*n - 1072*n**2 = 0.
2/7, 10
Let 266/9 - 2/9*t**2 + 8/3*t = 0. What is t?
-7, 19
Let o(w) be the first derivative of w**8/11760 + w**7/5880 + w**3 + 3*w**2 + 183. Let s(k) be the third derivative of o(k). Factor s(t).
t**3*(t + 1)/7
Let j = 16 - 0. Suppose 53*x + j = 57*x. Factor -41*f - 5*f**x - 41*f + 5*f**2 + 5*f**3 + 77*f.
-5*f*(f - 1)**2*(f + 1)
Let u(s) = -145*s**3 - 530*s**2 + 575*s + 830. Let k(y) = -9*y**3 - 33*y**2 + 36*y + 52. Let n(t) = 65*k(t) - 4*u(t). Let n(b) = 0. What is b?
-6, -1, 2
Factor -8 + 14*f - 28*f**2 - f + 31*f - 12 + 4*f**3.
4*(f - 5)*(f - 1)**2
Suppose -31 = -5*t - 6. Suppose -11*c**2 - 18*c + 2*c**3 + 17*c**2 + 6 + t - 1 = 0. What is c?
-5, 1
Let c(n) = 35*n**3 - 533*n**2 + 314*n + 219. Let x(w) = 17*w**3 - 266*w**2 + 155*w + 108. Let q(a) = 2*c(a) - 5*x(a). What is f in q(f) = 0?
-2/5, 1, 17
Let z(c) = c**2 - 46*c - 144. Let b be z(30). Let w = b + 626. Find u, given that 28/13*u - 34/13*u**w - 10/13*u**3 + 16/13 = 0.
-4, -2/5, 1
Factor 618/23*l - 2/23*l**2 + 1244/23.
-2*(l - 311)*(l + 2)/23
Let q(s) be the second derivative of -1/140*s**5 + 1/42*s**4 + 36/7*s**2 + 0 + 13/14*s**3 + 14*s. Factor q(k).
-(k - 8)*(k + 3)**2/7
Let y(v) be the third derivative of -v**5/120 - 5*v**4/16 + 18*v**3 - 2669*v**2. Solve y(f) = 0.
-24, 9
Let i(h) be the third derivative of -h**5/420 + 11*h**4/2 + 925*h**3/42 - 892*h**2 - 5*h. Factor i(v).
-(v - 925)*(v + 1)/7
Let b = -747 - -502. Let k be b/(-140) + (1 - 2). Determine o, given that 0 - 3/2*o**2 + k*o + 3/4*o**3 = 0.
0, 1
Let o(a) be the third derivative of -a**7/630 + 101*a**6/45 + 811*a**5/180 - 809*a**4/36 - 6814*a**2. Factor o(w).
-w*(w - 809)*(w - 1)*(w + 2)/3
Let a = 276840 - 276839. Determine x so that 2*x**2 - 9/2*x + a = 0.
1/4, 2
Let h = -1314/109 - -9404/545. Factor h*o + 24/5 + 2/5*o**2.
2*(o + 1)*(o + 12)/5
Let k(x) be the second derivative of -12/13*x**2 + 0 + 90*x + 28/39*x**3 + 2/65*x**5 - 19/78*x**4. Factor k(j).
2*(j - 2)**2*(4*j - 3)/13
Let b(a) = 90*a**2 - 735*a - 1311. Let s(o) = -11*o**2 + 90*o + 164. Let w(x) = -4*b(x) - 33*s(x). Suppose w(m) = 0. Calculate m.
-4, 14
Let f be (18/12)/(9/114). Suppose -3*i + 17 = -f. Factor 18*c**4 + i*c**3 + 8*c**5 - 2*c - 5*c + 7*c + 2*c**2.
2*c**2*(c + 1)**2*(4*c + 1)
Let v(d) = d. Let i be v(4). Let s(a) = 787*a. Let c be s(0). Determine y so that 9/4*y**i + c + 0*y + 3*y**2 - 6*y**3 = 0.
0, 2/3, 2
Let l = 491970 + -491967. Factor -8/3*s - 24*s**2 + 0 + 42*s**l.
2*s*(3*s - 2)*(21*s + 2)/3
Let c(s) = -s**2 - 16*s - 45. Let q be c(-12). Factor -4*o - 49 + 2*o**4 + 2*o**4 + 61 + 8*o**q - 4*o - 16*o**2.
4*(o - 1)**2*(o + 1)*(o + 3)
Find w such that 2/9*w**2 + 868/9*w - 290/3 = 0.
-435, 1
Let d(a) be the third derivative of 1/180*a**5 + 1/54*a**4 + 1/3*a**3 + 1/1620*a**6 - 14*a**2 + 0*a + 0. Let y(q) be the first derivative of d(q). Factor y(i).
2*(i + 1)*(i + 2)/9
Factor 7*v - 24 + 5/6*v**2 - 1/6*v**3.
-(v - 8)*(v - 3)*(v + 6)/6
Let k(j) be the first derivative of 130 + 72*j + 1/24*j**3 - 3*j**2. Factor k(g).
(g - 24)**2/8
Let n = -25 - -124. Factor -2*v - n + v**2 + 99 - v.
v*(v - 3)
Let m = -38344 - -38350. Factor -11/2*i**3 + m - 13/2*i**2 + 11/2*i + 1/2*i**4.
(i - 12)*(i - 1)*(i + 1)**2/2
Let w be 60/7 - (-43 + (-13 - -61)). Factor w*x**2 + 143/7*x + 1/7*x**3 - 169/7.
(x - 1)*(x + 13)**2/7
Find r such that -278*r**2 + 556*r**2 - 282*r**2 + 3288*r + 3292 = 0.
-1, 823
Let f be ((-305)/122)/((-3)/(-4) + -2). Let o be 2/f - (-7 + 8). Find r, given that 1/4*r**4 - 3/4*r**5 + r**2 + 0*r + o + 2*r**3 = 0.
-1, -2/3, 0, 2
Factor 37*r**4 - 27*r**4 - 36*r**2 - 216*r + 9*r**3 - 54*r**4 - 3*r**3 + 4*r**5 + 126*r**3.
4*r*(r - 6)*(r - 3)**2*(r + 1)
Suppose -8296 = 8*z + 3104. Let h = 1425 + z. Find d, given that h*d**2 + 0 + 0*d - 3/2*d**3 = 0.
0
Let b be ((22 + -22240)/(-14))/((-6)/(-2)). Suppose -79 + b = 90*v. Suppose -57/2*l + v - 9/2*l**3 + 28*l**2 = 0. Calculate l.
2/9, 1, 5
Let r(p) = -2*p**3 + p**2 - 13*p - 13. Let q be -8 - (-99)/(-36)*-4. Let u(z) = 5*z**3 + 27*z + 25. Let b(n) = q*u(n) + 7*r(n). Factor b(y).
(y - 2)*(y + 1)*(y + 8)
Let m be 15/54*3 - (16 + 705/(-45)). Let x be ((-1)/(-10))/((-22)/(-165)). Solve 0 - 1/2*d**2 + m*d**4 - x*d + d**3 - 1/4*d**5 = 0 for d.
-1, 0, 1, 3
Let p(j) be the first derivative of -j**5/40 - 47*j**4/16 - 88*j**3 + 288*j**2 + 1375. Factor p(x).
-x*(x - 2)*(x + 48)**2/8
Factor 28 - 1/3*h**2 - 40/3*h.
-(h - 2)*(h + 42)/3
Suppose 64/3*j**3 + 32/9 - 6*j**4 - 128/9*j - 112/9*j**2 = 0. Calculate j.
-2/3, 2/9, 2
Suppose 14 = 2*i + 4*k - 2, 0 = 5*i - 4*k - 82. Factor -40/3 - i*r - 2/3*r**2.
-2*(r + 1)*(r + 20)/3
Determine z, given that -704*z + 448/5 + 324/5*z**5 + 1760*z**3 + 928*z**2 + 684*z**4 = 0.
-7, -2, 2/9
Let 0 - 692*a**3 + 1081600/3*a + 2/3*a**4 + 178880*a**2 = 0. What is a?
-2, 0, 520
Let j(v) be the first derivative of -4*v**5/3 - 37*v**4/18 + 110*v**3/27 + 16*v**2/9 - 8*v/9 - 2920. Solve j(o) = 0 for o.
-2, -2/5, 1/6, 1
Let c = -62 - -65. Suppose 5*p - 25 = 0, 2*j + 1 = 2*p + c. Let -j*l - 18/5*l**2 - 2/5*l**3 + 10 = 0. What is l?
-5, 1
Determine j so that 1786*j**3 - 116*j**4 + 1408 + 133*j**2 + 8*j**5 - 4704*j - 30*j**3 - 4271*j**2 - 94*j**4 = 0.
-1, 1/4, 8, 11
Let q be ((-18)/14)/(-1) + (-12)/((-48)/(-4)). Let r be (-1 + -1)*(-2)/7. Factor q*a**2 + r*a + 2/7.
2*(a + 1)**2/7
Let t(q) be the first derivative of -q**8/840 + q**7/140 - 4*q**3/3 - 36. Let o(b) be the third derivative of t(b). Factor o(a).
-2*a**3*(a - 3)
Let z(k) be the second derivative of k**7/42 - k**6/10 - k**5/4 + 5*k**4/4 + 2*k**3/3 - 6*k**2 + 43*k + 18. What is j in z(j) = 0?
-2, -1, 1, 2, 3
Determine v, given that -16/3 - 476/3*v**2 + 632/9*v - 860/3*v**4 - 4238/9*v**3 - 50*v**5 = 0.
-3, -2, -1, 2/15
Let l(n) = -4*n**4 + 400*n**3 - 1926*n**2 + 3056*n - 1526. Let z(o) = -4*o**4 + 400*o**3 - 1927*o**2 + 3056*o - 1525. Let f(p) = -5*l(p) + 6*z(p). Factor f(h).
-4*(h - 95)*(h - 2)**2*(h - 1)
Suppose 135 = -l + 391. Suppose 238*z - l*z + 54 = 0. Find o such that -46*o - 35*o**z - 49/2*o**4 + 199/2*o**2 + 6 = 0.
-3, 2/7, 1
Let o(f) be the second derivative of -f**5/170 - f**4/102 + 4*f**3/51 + 4*f**2/17 + 18*f + 6. Determine l, given that o(l) = 0.
-2, -1, 2
Let h = -7028 - -7044. Let f(k) be the second derivative of 1/1