*p**3 + 134*p**2 - 94*p - 30. Let b(q) = 10*a(q) + 5*h(q). Solve b(s) = 0.
-1/4, 2, 8
Let i(h) = 83*h**2 + 3*h + 11. Let y be i(5). Suppose -8*f = -y + 157. Suppose -3*j**2 - 17*j - 33*j - f - 4*j = 0. What is j?
-9
Let n(b) be the third derivative of -b**5/30 - b**4 + b**3/3 + 2*b**2 + 42. Let v be n(-12). Factor -4/5 - 18/5*i - 14/5*i**v.
-2*(i + 1)*(7*i + 2)/5
Let m(b) be the third derivative of 0 + 1/30*b**5 - 1/60*b**6 + 12*b**2 + 5/12*b**4 + 0*b + b**3. Suppose m(y) = 0. Calculate y.
-1, 3
Suppose -44766 + 44806 = 10*l. Let b(w) be the third derivative of -605/24*w**l - w**2 - 1/24*w**6 + 11/6*w**5 + 0*w**3 + 0 + 0*w. Solve b(o) = 0.
0, 11
Let t(u) be the third derivative of 0 + 5/12*u**4 - 6*u**2 + 5/1344*u**8 + 3/16*u**6 + 0*u**3 + 5/12*u**5 + 27*u + 1/24*u**7. Determine j, given that t(j) = 0.
-2, -1, 0
Factor -116/3*y**2 - 3704/3*y + 256/3.
-4*(y + 32)*(29*y - 2)/3
Let o(n) be the second derivative of 2*n**7/21 + 14*n**6/15 + 6*n**5/5 - 3*n + 657. Solve o(y) = 0 for y.
-6, -1, 0
Let g(a) be the third derivative of -a**6/420 - 47*a**5/105 - 176*a**4/21 - 1376*a**3/21 + 1611*a**2. Factor g(j).
-2*(j + 4)**2*(j + 86)/7
Let x(z) be the second derivative of -z**5 - 56*z**4 - 168*z**3 + 256*z**2 - 2335*z. Factor x(n).
-4*(n + 2)*(n + 32)*(5*n - 2)
Let d(v) = -18*v**2 - 130*v + 153. Let p(o) = -58*o**2 - 386*o + 460. Let w(q) = -16*d(q) + 5*p(q). Find k such that w(k) = 0.
1, 74
Let x(c) = -31*c**2 + 307*c - 2944. Let v(y) = 35*y**2 - 308*y + 2945. Let q(h) = -7*v(h) - 8*x(h). Factor q(d).
3*(d - 89)*(d - 11)
Factor 72/11 - 2/11*h**3 - 80/11*h + 26/11*h**2.
-2*(h - 9)*(h - 2)**2/11
Let b(w) be the second derivative of -w**4/32 + 383*w**3/8 - 440067*w**2/16 + 1398*w. Factor b(k).
-3*(k - 383)**2/8
Find v such that -1425 + 212*v + 126*v + 52*v + 330 - 545 + 5*v**2 = 0.
-82, 4
Let b(n) be the first derivative of -6 - 16/3*n**3 + 0*n**2 - 1/3060*n**6 - 1/510*n**5 + 0*n**4 + 0*n. Let p(a) be the third derivative of b(a). Factor p(m).
-2*m*(m + 2)/17
Let a(p) be the second derivative of p**8/3360 + p**7/315 - 7*p**6/360 - p**5/6 - 19*p**4/3 + 20*p. Let x(k) be the third derivative of a(k). Factor x(u).
2*(u - 2)*(u + 1)*(u + 5)
Factor -36*o**2 - 4*o**3 - 244*o**4 + 280*o**4 + 22*o**5 - 18*o**5.
4*o**2*(o - 1)*(o + 1)*(o + 9)
Suppose 171*t = -150*t. Factor 2/7*a**3 - 60/7*a**2 + t + 450/7*a.
2*a*(a - 15)**2/7
Let c = 71 + -60. Let n(w) = 2*w**2 - 29*w - 20. Let y(g) = 2*g + 2*g**2 - 8*g - g**2 - 7 - 4*g. Let j(k) = c*y(k) - 4*n(k). Suppose j(d) = 0. Calculate d.
-1
Determine m so that 8*m**3 + 23*m**4 + 17*m**2 - 22*m**4 + 612*m - 602*m = 0.
-5, -2, -1, 0
Let y(h) be the second derivative of h**4/108 - 46*h**3/9 + 275*h**2/18 - 158*h + 1. What is s in y(s) = 0?
1, 275
Let a(s) be the second derivative of s**7/42 + 7*s**6/3 + 371*s**5/10 + 682*s**4/3 + 3505*s**3/6 + 725*s**2 + 5874*s. Let a(f) = 0. What is f?
-58, -5, -1
Let q(m) = 16*m + 32. Let g be q(-2). Suppose 20*n - 29*n + 18 = g. What is l in 3/2*l**4 + 0 - 9/2*l**3 - 3/2*l**n + 9/2*l = 0?
-1, 0, 1, 3
Let f be (1045/874 + 16/(-552))*(-128)/(-112). Find h such that 2*h**2 - 8/3 - 1/3*h**4 + 1/3*h**3 - f*h = 0.
-2, -1, 2
Let h be (515/3)/((-150)/(-140)) + -10. What is z in h - 104/9*z + 2/9*z**2 = 0?
26
Let n(v) = 10*v**2 - 4970*v + 4975. Let c(x) = -9*x**2 + 4971*x - 4974. Let z(o) = -5*c(o) - 4*n(o). Solve z(j) = 0.
1, 994
Let i(l) be the first derivative of -l**4/36 + 17*l**3/18 - 8*l**2/3 - 20*l + 35. Let r(j) be the first derivative of i(j). Let r(w) = 0. Calculate w.
1, 16
Let 8604*d**3 + 298*d - 8600*d**3 - 3758*d + 8900 + 316*d**2 = 0. What is d?
-89, 5
Suppose 680*p + 16 = 682*p + a, 0 = -2*a - 4. Factor 81 + 1/4*y**2 + p*y.
(y + 18)**2/4
Suppose -2*h = -7*h - q - 537, 0 = h + 5*q + 117. Let t = h - -765/7. Solve 2/7*u**5 + 4/7 - 2*u - 4/7*u**4 - 4/7*u**3 + t*u**2 = 0 for u.
-2, 1
Let c be ((-124)/54)/(2259/378 + -6). Let s = -96 + c. Solve -8/9*a + 4/9*a**2 + s = 0.
1
Let n = -560 + 566. Factor 56 - 2*u**4 - 8*u**5 + 4*u - 46*u**2 - 25*u + u**5 + u + 29*u**3 + n*u**5.
-(u - 2)**3*(u + 1)*(u + 7)
Let a(u) be the second derivative of -u**4/48 + 3*u**3/4 + 19*u**2/8 - 6443*u. Determine j, given that a(j) = 0.
-1, 19
Suppose 5*c - 85 = -4*o, 5*o + 5*c + 11743 - 11833 = 0. Factor 0 + 12/5*t**4 + 16/5*t**2 + 0*t + 2/5*t**o + 24/5*t**3.
2*t**2*(t + 2)**3/5
Factor 1764*v - 1825701*v**2 + 1140*v + 1825704*v**2.
3*v*(v + 968)
Let s(b) be the third derivative of b**8/8400 + b**7/525 + b**6/100 - b**4 + 337*b**2. Let l(i) be the second derivative of s(i). Factor l(m).
4*m*(m + 3)**2/5
Let s(t) = -t**2 - 63*t + 88. Let b be s(-64). Determine z, given that 675/2 + b*z**2 + 180*z = 0.
-15/4
Let u(y) be the first derivative of 2*y**2 - 40*y + 200. Let f be u(10). Suppose 0*g - 2/5*g**3 + 2/5*g**5 + f - 2/5*g**2 + 2/5*g**4 = 0. Calculate g.
-1, 0, 1
Find b such that -201/7*b - 1800/7 + 3/7*b**2 = 0.
-8, 75
What is f in -170/7*f**4 - 1/7*f**5 + 4440/7*f**3 + 23760*f - 41040/7*f**2 - 251424/7 = 0?
-194, 6
Let h(z) be the second derivative of z**8/20160 + z**7/7560 - z**6/1080 + 8*z**4/3 - z**2/2 - 73*z. Let s(t) be the third derivative of h(t). Factor s(g).
g*(g - 1)*(g + 2)/3
Let w(q) be the third derivative of 7*q**5/60 + 1117*q**4/24 + 106*q**3 - 41*q**2 - 53*q. Factor w(k).
(k + 159)*(7*k + 4)
Let s = -3129 + 3133. Let k(v) be the second derivative of 3/5*v**5 + 19*v + 0*v**3 + 0 - 2/21*v**7 + 0*v**6 - 2/3*v**s + 0*v**2. Factor k(i).
-4*i**2*(i - 1)**2*(i + 2)
Let w(n) be the second derivative of -n**7/273 - 8*n**6/65 - 74*n**5/65 - 31*n**4/13 + 149*n**3/39 + 210*n**2/13 + 1004*n. Let w(g) = 0. Calculate g.
-15, -7, -2, -1, 1
Let p(m) be the second derivative of -1/80*m**5 + 0*m**2 + 0 + 1/4*m**4 - 7*m - 11/24*m**3. Suppose p(n) = 0. What is n?
0, 1, 11
Let l(y) be the first derivative of 4*y**7/273 - 8*y**6/65 - 27*y**5/130 - 7*y**4/78 + 98*y + 75. Let g(r) be the first derivative of l(r). Factor g(i).
2*i**2*(i - 7)*(2*i + 1)**2/13
Let i be (5/(-4))/(4*(-8)/256). Let m be (15 - i) + (70/(-6))/7. Let -2/3*u**3 - 16/3*u + 8/3 + m*u**2 = 0. What is u?
1, 2
Let m(l) be the first derivative of -l**6/675 + 7*l**5/300 - l**4/36 - l**3/3 + 2*l**2 - 27. Let r(v) be the third derivative of m(v). Factor r(q).
-2*(q - 5)*(4*q - 1)/15
Let a(w) be the second derivative of w**5/4 + w**4/12 + w**3/6 - w**2 + 16*w. Let y be a(1). Factor 20*p**5 - 73*p**5 + 23*p**y + 4*p**4 + 4*p**3 + 22*p**5.
-4*p**3*(p - 1)*(2*p + 1)
Let r(w) be the third derivative of -w**5/90 + 155*w**4/144 + 53*w**3/12 - 919*w**2. Find b, given that r(b) = 0.
-1, 159/4
Let w = 451394/9 + -50154. Factor -4/9*y**2 + w*y - 4/9.
-4*(y - 1)**2/9
Let f be -1 - (3 + (-5 - 1)). Suppose -f*j + 12 = -4*d, -42*d + 4 = -j - 45*d. Suppose 0*m**j - 1/4*m**4 + 0 + 0*m + 1/4*m**3 = 0. Calculate m.
0, 1
Solve -121/4 - 119/4*t**2 + 1/4*t**3 - 241/4*t = 0 for t.
-1, 121
Let j(z) = -4*z**3 - 11*z**2 - z. Let f = -62 + 67. Let g be 4*f/90 + 22/(-18). Let i(c) = -c**3 + c**2 + c. Let o(n) = g*i(n) - j(n). Factor o(s).
5*s**2*(s + 2)
Let y(v) = 5*v**3 - v**2 - v - 3. Let x be y(-3). Let b be (x/64)/(60/(-112)). Find i, given that 18/5*i**3 + 9/5 + 6/5*i**2 - b*i + 3/5*i**5 - 3*i**4 = 0.
-1, 1, 3
Let h(m) be the first derivative of m**6/24 - m**5/10 - 9*m**4/2 - 45*m**3/2 - 297*m**2/8 + 1448. Factor h(w).
w*(w - 11)*(w + 3)**3/4
Let y = 11/2253 - -685/13518. Let c(z) be the second derivative of 1/4*z**5 + 0*z**3 + 0*z**4 - z + 0*z**2 + 0 - y*z**6. Let c(f) = 0. Calculate f.
0, 3
Let r(w) be the third derivative of -w**6/420 + w**5/35 + w**2 + 2*w - 421. Factor r(g).
-2*g**2*(g - 6)/7
Let p(j) be the first derivative of j**3/9 - 13*j**2/6 - 30*j + 811. Find c such that p(c) = 0.
-5, 18
Let p be (34/(-7) + 2)/((-22)/77). Factor 138 - 26*u**2 - 363 + 30*u + 15*u**2 + p*u**2.
-(u - 15)**2
Solve -3/5*b**2 + 1566/5 - 147/5*b = 0.
-58, 9
Let l(o) = o**3 + 4*o**2 - 6*o - 1. Let j be l(-5). Suppose -j*r + 5 + 7 = 0. Let 5*t**r - 5*t**5 + 10*t**3 - 19*t**4 + 9*t**4 = 0. What is t?
-3, 0, 1
Let r(z) = -2*z**4 - 2*z**3 + z**2 + z - 1. Let q(b) = 5*b**4 + 1195*b**3 - 70795*b**2 + 67255*b + 139245. Let a(o) = q(o) + 5*r(o). Let a(v) = 0. Calculate v.
-1, 2, 118
Find o, given that 1152/5 + 32/5*o**4 + 96/5*o**3 - 416/5*o**2 - 2/5*o**5 - 352/5*o = 0.
-4, -2, 2, 18
Let y(p) be