p - 4*w. Find o, given that 1/3*o**p + b - o = 0.
0, 3
Let n(g) = 23*g**3 + 404*g**2 + 965*g + 101. Let c(z) = 17*z**3 + 303*z**2 + 724*z + 74. Let p(q) = -13*c(q) + 10*n(q). Solve p(a) = 0 for a.
-8, -3, -2/9
Let q = 577/828 - -11/207. Let n(v) be the second derivative of 9/2*v**2 + 4*v**3 - q*v**4 + 0 - 8*v. Suppose n(j) = 0. What is j?
-1/3, 3
Let p(u) be the third derivative of -u**7/105 + u**6/5 + 18*u**5/5 - 372*u**2. Factor p(n).
-2*n**2*(n - 18)*(n + 6)
Let g(t) = 36*t**3 - 39*t**2 + 27*t - 45. Let n(j) = 17*j**3 - 18*j**2 + 13*j - 22. Let d(f) = -10*g(f) + 21*n(f). Factor d(k).
-3*(k - 4)*(k - 1)*(k + 1)
Let b(z) be the first derivative of -2*z**3/27 + 17*z**2/9 - 32*z/9 + 1383. Factor b(i).
-2*(i - 16)*(i - 1)/9
Suppose -2*x - 4*l + 4 = 0, -39 + 36 = -3*l. Suppose -5*c + 11 = -3*z - x*c, -4*z - 2*c + 20 = 0. Factor 48*w**2 + 14/3*w**4 + 64/3*w + 80/3*w**z - 32/3.
2*(w + 2)**3*(7*w - 2)/3
Let h(w) = -20*w**3 + 28*w - 24. Let j = 93 - 77. Let n(t) = t**3 - t**2 + t. Let b(x) = j*n(x) + h(x). Factor b(r).
-4*(r - 1)**2*(r + 6)
Let y(r) be the third derivative of 2*r**7/245 + 349*r**6/280 + 7107*r**5/140 - 22545*r**4/56 - 6075*r**3/14 - 6*r**2 + 92. Find j such that y(j) = 0.
-45, -1/4, 3
Let z(m) = -m**2 - 33*m - 35. Let g be z(-20). Find j such that 95*j + 2*j**3 - 350*j - 12*j**3 - 50 - g*j**2 - 10*j**3 = 0.
-10, -1, -1/4
Let x(y) be the first derivative of 2/25*y**5 + 16/5*y + 2/5*y**4 - 2*y**2 - 2/5*y**3 - 76. Factor x(c).
2*(c - 1)**2*(c + 2)*(c + 4)/5
Factor -76*g**3 - 1452*g + 678*g**2 + 360 + 96*g**3 - 41*g**3.
-3*(g - 30)*(g - 2)*(7*g - 2)
Let t(o) be the third derivative of o**7/35 + 63*o**6/80 + 5*o**5/2 + 27*o**4/16 - 7*o**3/2 + 589*o**2 + o. Determine v, given that t(v) = 0.
-14, -1, 1/4
Let p(k) = -44*k**5 + 200*k**4 - 212*k**3 + 56*k**2 - 8. Let i(x) = 15*x**5 - 67*x**4 + 71*x**3 - 19*x**2 + 3. Let m(j) = -8*i(j) - 3*p(j). Solve m(f) = 0.
0, 1/3, 1, 4
Let b(q) be the first derivative of 3*q**4/4 + 10*q**3 - 33*q**2/2 - 259. Suppose b(o) = 0. What is o?
-11, 0, 1
Solve 1792*x**3 - 30*x**2 - 1794*x**3 - 50*x**2 - 14*x**2 + 12*x**2 = 0.
-41, 0
Suppose 4*o - 262 = 2*q, -4*o + 4*q + 259 = -q. Let z be (-237)/316 - o/(-8). Determine f so that -9/4*f**2 - z*f + 6 = 0.
-4, 2/3
Let o(h) be the third derivative of h**6/300 + 23*h**5/150 + 11*h**4/30 + h**2 + 146*h. Factor o(t).
2*t*(t + 1)*(t + 22)/5
Let d(a) = -3*a**2 + 556*a + 2. Let q(h) = 14*h**2 - 2219*h - 9. Let n(o) = 9*d(o) + 2*q(o). Determine t so that n(t) = 0.
-566, 0
Find w such that 32*w - 1/4*w**2 + 65 = 0.
-2, 130
Let f = -1671393/5 - -334281. Let 4/5*v**2 - 2*v + 2/5*v**3 - f = 0. What is v?
-3, -1, 2
Suppose 5*i = -6 + 26. Factor 36*f**3 - 77 - i*f**4 + 157 - 80.
-4*f**3*(f - 9)
Let r(m) be the third derivative of -m**6/600 - 19*m**5/150 - 91*m**4/40 + 294*m**3/5 - 4293*m**2 - 2*m. Factor r(f).
-(f - 4)*(f + 21)**2/5
Suppose 7*d = -19*d + 78. Solve -469*r**4 + 3*r + 12*r**3 + 475*r**4 - 2*r**5 + 10*r**2 + d*r**5 = 0 for r.
-3, -1, 0
Find a such that -868562/9 - 2/9*a**2 + 2636/9*a = 0.
659
Let d(f) be the second derivative of f**7/273 - f**6/39 - 9*f**5/130 + f**4/6 + 28*f**3/39 + 12*f**2/13 - 14*f - 6. Let d(q) = 0. Calculate q.
-1, 2, 6
Let h(b) be the third derivative of 1/480*b**6 + 9*b**2 + 4*b - 1/48*b**4 + 0 + 0*b**3 - 1/240*b**5. What is i in h(i) = 0?
-1, 0, 2
Let p = -672 - -675. Let 56*w**p - 23*w + 168*w**4 - 39*w + 2*w - 192*w**2 + 44*w**5 - 65*w + 25*w + 24 = 0. Calculate w.
-3, -1, 2/11, 1
Let n(y) be the first derivative of y**7/1155 + y**6/660 - 94*y**2 - 153. Let t(w) be the second derivative of n(w). Solve t(i) = 0 for i.
-1, 0
Let p(d) be the third derivative of -49*d**5/90 + 1435*d**4/9 + 548*d**3/3 - 8585*d**2. Solve p(q) = 0 for q.
-2/7, 822/7
Determine l, given that 280/3*l + 1696/9 - 4/9*l**2 = 0.
-2, 212
Let b(t) = -4*t - 4. Let m be b(-6). Let f be 60/(-18)*(-9)/2. Factor 12*y - f*y + 23*y - m - 5*y**2.
-5*(y - 2)**2
Let w(j) be the second derivative of -j**4/36 - 82*j**3/9 + 55*j**2/2 + 31*j + 10. Let w(n) = 0. Calculate n.
-165, 1
Let 177/4*v + 18*v**2 - 87/2*v**3 - 3/4*v**5 + 27/2*v**4 - 63/2 = 0. What is v?
-1, 1, 3, 14
Solve 6786/7*l + 816/7*l**2 + 18252/7 + 32/7*l**3 = 0 for l.
-39/4, -6
Suppose 56*d + 17*d - 146 = 0. Determine k, given that -10*k**4 - 31*k**2 + 92*k**d - 62*k + 37*k**2 - 88 + 39*k + 216*k**3 - 193*k = 0.
-1, -2/5, 1, 22
Let r(c) = 32 - 98*c**2 + 5*c**3 - 109 + 37 + 42 + 500*c. Let w(u) = u - 1 - u - 4*u**2 + 3*u**2. Let t(y) = -r(y) - 2*w(y). Factor t(l).
-5*l*(l - 10)**2
Factor -4*q**3 - 226223*q - 140812*q + 1366*q**2 - q**3 + 2249*q**2 - 655220 - 284565*q.
-5*(q - 362)**2*(q + 1)
Let r(z) = 17*z**3 - 56*z**2 + 125*z - 144. Let k(g) = 49*g**3 - 167*g**2 + 380*g - 433. Let o(q) = 6*k(q) - 17*r(q). Solve o(n) = 0 for n.
2, 3, 5
Suppose 4*n + 31 = 39. Suppose 2*j + 0 + 12 = 4*b, -n*b + 12 = 2*j. Let 5/3*x + 1/3*x**j + 4/3 = 0. What is x?
-4, -1
Suppose 0 = -44*j + 687 + 765. Factor 148*y**2 - 288*y**2 + 72 + j*y + 143*y**2.
3*(y + 3)*(y + 8)
Let s(m) be the third derivative of -m**7/630 + m**6/30 + m**4/24 + m**3/2 - 7*m**2 + 2. Let u(q) be the second derivative of s(q). Let u(f) = 0. What is f?
0, 6
Let j be ((-7)/8 - 345/(-460))*(2 - 10). Let x(u) be the second derivative of -1/10*u**2 + 1/60*u**4 + j + 0*u**3 - 6*u. Find c, given that x(c) = 0.
-1, 1
Let p(d) = -10*d + 120. Let s be p(10). Let a be 6/(-14)*(-70)/s. Factor -5 + a*o + 1/2*o**2.
(o - 2)*(o + 5)/2
Let g(o) = -6*o**2 + 81*o - 102. Let t be g(12). Let p(m) be the first derivative of 0*m**2 - 17 - 1/3*m**t - 7/2*m**4 + 0*m - 2*m**5 - 2*m**3. Factor p(x).
-2*x**2*(x + 1)**2*(x + 3)
Factor 52*r + 17*r**4 - 20*r**3 - 4*r**5 + 23*r**4 + 114*r**3 + 50*r**3 + 152*r**2.
-4*r*(r - 13)*(r + 1)**3
Let w(x) be the second derivative of -x**6/40 + 9*x**5/16 - 53*x**4/16 + 21*x**3/8 + 135*x**2/4 + 5627*x. Determine s so that w(s) = 0.
-1, 3, 10
Let m(o) = -8*o**4 + o**3 - o + 1. Let d(c) = 21*c**4 + 53*c**3 + 220*c**2 + 382*c + 238. Let x(a) = -d(a) - 2*m(a). Factor x(u).
-5*(u + 2)**2*(u + 3)*(u + 4)
Let d(z) = 2*z - 11. Let o be d(0). Let s be (((-594)/(-63))/o)/((-6)/28). Solve -s*j**2 + 38*j - 2*j**3 - 94*j + 16 + 16*j**3 = 0.
-2, 2/7, 2
Let t(y) = -8*y**3 + 13*y**2 + 57*y + 53. Let c(j) = -6*j**2 - 29*j + 14*j**3 - 27 + 0*j**3 - 9*j**3. Let l(g) = -5*c(g) - 3*t(g). Find x, given that l(x) = 0.
-4, -3, -2
Let k be 0*6/(-78)*(-7)/(-14). Let j(a) be the third derivative of 1/20*a**5 - 3*a**2 + 0*a**3 + 1/120*a**6 + 1/12*a**4 + 0 + k*a. Determine t so that j(t) = 0.
-2, -1, 0
Let p(b) be the first derivative of -8/3*b**3 - 2/3*b**4 + 6*b**2 + 4/5*b**5 - 2/15*b**6 + 5*b + 6. Let h(s) be the first derivative of p(s). Factor h(u).
-4*(u - 3)*(u - 1)**2*(u + 1)
Let x(j) = 95142*j - 475703. Let a be x(5). Factor 3*y**5 + a*y**4 + 10/3*y**3 - 2*y**2 + 1/3 - y.
(y + 1)**3*(3*y - 1)**2/3
Let i = -78172/5 + 15635. Let y(d) be the first derivative of 1/5*d**3 + 22 + 3/5*d - i*d**2. Factor y(m).
3*(m - 1)**2/5
Let b(j) be the second derivative of -j**4/42 + 64*j**3/21 - 624*j**2/7 - j - 4435. Solve b(m) = 0.
12, 52
Let l(s) be the third derivative of -s**6/60 - 29*s**5/5 + 117*s**4/4 - 176*s**3/3 + 428*s**2. Factor l(z).
-2*(z - 1)**2*(z + 176)
Let h(w) = 424*w**2 - 5299*w - 3*w**3 - 236 - 969 - 166 + 24. Let v(c) = 4*c**3 - 637*c**2 + 7948*c + 2020. Let t(i) = -8*h(i) - 5*v(i). Factor t(a).
(a - 26)**2*(4*a + 1)
Factor 21658756864/7 - 4/7*g**3 - 37002432/7*g + 21072/7*g**2.
-4*(g - 1756)**3/7
Let r(s) be the second derivative of s**4/4 - 79*s**3 - 1449*s**2/2 - 2672*s. Determine c, given that r(c) = 0.
-3, 161
Let c(d) be the second derivative of 2*d**6/5 + 8*d**5 - 31*d**4/3 - 80*d**3/3 + 56*d**2 + 3196*d. Let c(j) = 0. Calculate j.
-14, -1, 2/3, 1
Let c be (-2054)/(-948) + (815828/(-8))/(-1). Solve -6970*o**2 - 4/3 - 166*o - 137842*o**4 - c*o**3 = 0.
-2/3, -1/41
Suppose -20667*s + 20617*s - 7*s**3 + 2*s**3 + 65*s**2 - 120 = 0. Calculate s.
-1, 2, 12
Let -43 + 28897*l + l**2 - 2*l**2 + 133 - 28896*l + 0*l**2 = 0. Calculate l.
-9, 10
Let h = 3884 - 3884. Let a(y) be the second derivative of -1/18*y**4 + 1/3*y**2 + h + 12*y - 1/18*y**3 + 1/60*y**5. Let a(l) = 0. What is l?
-1, 1, 2
Find b such that -109056*b - 4/3*b**3 + 645248/3 + 760*b**2 = 0.
2, 284
Let l(b) be the thi