)**2*(w + 175)
Let x be (-1 - -2)/(7/14). Suppose 0 = -2*b + n + 116, 5*b - 227 = -x*n + 54. What is m in -30 - 8*m**2 - 12*m**2 + b*m - 15*m**3 + 8*m = 0?
-3, 2/3, 1
Let s = -267 - -113. Let k be s/4*168/(-49). Factor 31 + 243*l**4 - 248*l**3 - 19 + 471*l**2 + 12*l**3 - 358*l**3 - k*l.
3*(l - 1)**2*(9*l - 2)**2
Suppose 396*p + 84*p + 85*p = 1130. Let v be ((-4)/32)/((-2)/20). Solve -5/2*c - 15/4 + v*c**p = 0 for c.
-1, 3
Suppose -949*i = -952*i + 5*a - 26, 2*i - 3*a = -15. Let o(f) be the third derivative of -10*f**2 - 1/20*f**5 - 49/2*f**i + 7/4*f**4 + 0 + 0*f. Factor o(y).
-3*(y - 7)**2
Let j(v) be the third derivative of v**5/15 + 100*v**4 + 60000*v**3 - 169*v**2. Let j(i) = 0. Calculate i.
-300
Solve 144/19 - 2/19*y**2 - 2/19*y = 0 for y.
-9, 8
What is o in 4 + 8*o**3 - 12/5*o**4 - 36/5*o - 4/5*o**5 - 8/5*o**2 = 0?
-5, -1, 1
Let j(w) = 47*w**2 - 53*w - 6. Let c(x) = 180*x**2 - 212*x - 23. Let m(u) = 6*c(u) - 23*j(u). Solve m(v) = 0 for v.
-53, 0
Let t(r) be the first derivative of -r**4/12 + 11*r**3/3 - 21*r**2/2 - 41*r + 120. Let q(h) be the first derivative of t(h). Let q(u) = 0. Calculate u.
1, 21
Let w(h) = 3 - 313*h**3 + 278*h**3 + 22*h**4 + 10*h + 5*h - 8*h**2. Let b(t) = -t**4 - t**2 + 1. Let f(q) = 3*b(q) - w(q). Factor f(k).
-5*k*(k - 1)**2*(5*k + 3)
Let n = 566 - 572. Let o be -7 + n/((-216)/279). Suppose -o + 3/4*f**2 - 33/8*f**3 + 9/4*f**4 + 15/8*f = 0. What is f?
-2/3, 1/2, 1
Let r(n) be the third derivative of -1/2*n**3 - 25*n**2 + 2*n - 1/10*n**5 + 3/70*n**7 + 0 - 1/112*n**8 - 1/20*n**6 + 3/8*n**4. Factor r(v).
-3*(v - 1)**4*(v + 1)
Suppose 5*s - 1018 = -998, 0 = l + 3*s - 16. Let f(p) be the first derivative of -12 + 0*p + 2/9*p**3 - 1/6*p**2 - 1/12*p**l. Solve f(j) = 0.
0, 1
Let g(l) = 3*l**2 - 71*l - 128. Let w(r) = 2*r**2 - 44*r - 85. Let t(i) = -5*g(i) + 8*w(i). Factor t(h).
(h - 5)*(h + 8)
Let i(s) be the first derivative of s**6/3 + 10*s**5 + 45*s**4 + 260*s**3/3 + 85*s**2 + 42*s - 146. Factor i(w).
2*(w + 1)**4*(w + 21)
Let r(o) be the third derivative of o**5/90 - 658*o**4/9 + 1731856*o**3/9 + 11*o**2 + 34. Factor r(u).
2*(u - 1316)**2/3
Let x(c) = -13*c - 1507*c**2 - 20*c + 1477*c**2 + 6 + 3*c**3. Let f(m) = -8*m**3 + 91*m**2 + 99*m - 17. Let a(z) = 6*f(z) + 17*x(z). Factor a(u).
3*u*(u + 1)*(u + 11)
Let f(l) be the third derivative of l**5/30 - 1181*l**4/42 + 337*l**3/7 + l**2 - 2053*l. Factor f(k).
2*(k - 337)*(7*k - 3)/7
Let u(d) be the first derivative of d**5 + 3315*d**4/2 - 4425*d**3 + 3320*d**2 - 7452. Solve u(b) = 0.
-1328, 0, 1
Let j(k) be the third derivative of k**2 + 0*k**5 - 9/20*k**6 + 0*k**4 + 29 + 0*k**3 - 13/14*k**7 - 1/16*k**8 + 0*k. What is r in j(r) = 0?
-9, -2/7, 0
Let p = 55 - 52. Suppose x - 6 = -p. What is n in -5*n**x - 20*n**2 + 11*n - 23*n + n**3 + 36 = 0?
-3, 1
Let f(l) be the first derivative of l**9/10584 + l**8/2940 - 5*l**3 + 3*l - 103. Let m(u) be the third derivative of f(u). Factor m(w).
2*w**4*(w + 2)/7
Suppose 395*h**3 + 325379/5*h**2 - 216482/5 + 21385*h + 3/5*h**4 = 0. What is h?
-329, -1, 2/3
Let q(w) = -2*w**2 - 33*w - 193. Let i = -187 + 194. Let z(r) = r**2 + 17*r + 97. Let c(d) = i*z(d) + 3*q(d). Factor c(j).
(j + 10)**2
Let m(b) be the second derivative of 109/230*b**5 - 4/23*b**2 - 59/138*b**4 - 133*b + 1/23*b**6 - 25/483*b**7 - 12/23*b**3 + 0. Find a, given that m(a) = 0.
-2, -1/5, 1, 2
Factor 19208/3*j + 23059204/3 + 4/3*j**2.
4*(j + 2401)**2/3
Let o = -2/5351 + 21446/112371. Let n(h) be the first derivative of -2/7*h**2 + 1/7*h**4 - 4/7*h + 20 + o*h**3. Let n(w) = 0. What is w?
-1, 1
Let b(x) be the first derivative of -x**6/6 + 1166*x**5 - 3398890*x**4 + 15852422960*x**3/3 - 4620981292840*x**2 + 2155225674980576*x + 1013. Factor b(n).
-(n - 1166)**5
Let v(m) be the first derivative of m - 1/5*m**4 + 0*m**2 + 3/100*m**5 + 2/5*m**3 - 8. Let l(z) be the first derivative of v(z). Factor l(r).
3*r*(r - 2)**2/5
Factor -16/5*o**3 - 76/5 - 308/5*o - 64*o**2.
-4*(o + 19)*(2*o + 1)**2/5
Let i be (38 + -22)/((-5)/(430/4)). Let p be 4/(-6)*645/i. Suppose -1/4*m**4 - 1/2 + p*m**3 + 7/4*m - 9/4*m**2 = 0. Calculate m.
1, 2
Let p be 4 + 3164/(-264) + (-160)/(-20). Let h(l) be the second derivative of -8*l + p*l**4 + 1/33*l**3 + 0*l**2 + 0. What is a in h(a) = 0?
-1, 0
Let g(p) = -p**3 + 14*p**2 - 25*p + 16. Let f be g(12). Factor 27*n + 62 + f*n**3 + 33*n + 82 - 116 + 36*n**2.
4*(n + 1)**2*(n + 7)
Let f = 1233907 - 1233903. Factor 1/2*w**f + 90*w**2 + 324*w + 11*w**3 + 432.
(w + 4)*(w + 6)**3/2
Suppose -6*n + 4*n + 110 = 0. Let u = n + -52. Let -12*a - 12*a**4 + 12*a - 12*a**3 - 4*a**5 + 0*a**u - 4*a**2 = 0. What is a?
-1, 0
Suppose 0 = 4*a - 7*a. Factor a*f**3 + 2*f**3 - 3*f**3 - 3*f**2 + 4*f + 4*f**2 + 0*f**3 - 4.
-(f - 2)*(f - 1)*(f + 2)
Let c(r) be the third derivative of -r**5/180 + 7*r**4/72 + 307*r**2 + r + 9. Factor c(h).
-h*(h - 7)/3
Let n = -138035/2 + 69020. Factor 0 + 1/2*b**5 - b**4 + 3*b**2 + 0*b - n*b**3.
b**2*(b - 3)*(b - 1)*(b + 2)/2
Let o(a) be the first derivative of -1/5*a**3 + 6/5*a + 3/10*a**2 - 24. Let o(w) = 0. Calculate w.
-1, 2
Let x(g) = 38*g + 307. Let r be x(-8). Let o(f) be the first derivative of 1/18*f**r + 2/3*f + 4 - 1/3*f**2. Factor o(l).
(l - 2)**2/6
Let o be -7 + 9 - (-2 - -1). Suppose 32 - 56*w + 53*w**o - 144*w**2 - 56*w - 61*w**3 + 34*w**4 + 9*w**5 = 0. Calculate w.
-2, 2/9, 2
Let h be (-25)/(-12) - (-1)/6. Suppose 830*t - 915 + 711 = 549*t + 920. Let 7/4*v**2 + 1/4*v**5 + h*v**3 + 0 + 5/4*v**t + 1/2*v = 0. Calculate v.
-2, -1, 0
Let d = -19066 + 1201159/63. Let s(b) be the second derivative of 4/45*b**6 - d*b**7 + 0*b**4 - 3*b + 0 - 2/15*b**5 + 0*b**2 + 0*b**3. Let s(f) = 0. What is f?
0, 2
Let s be (-4)/(-16)*0/3 - -2. Suppose x - 17 = -5*t - 0, 2 = -s*x + 2*t. Factor 2/3*c**x + 2/9*c + 2/9*c**4 + 0 + 2/3*c**3.
2*c*(c + 1)**3/9
Let h be (-4496)/(-84) - 2 - (-11)/((-2387)/(-248)). Factor -110/3*r + 2*r**3 - h*r**2 + 18.
2*(r - 27)*(r + 1)*(3*r - 1)/3
Let x(a) = a**3 - 11*a**2 - 15*a - 11. Let c be ((-44)/176)/((-2)/8). Let f(p) = p**3 - p**2 - 2. Let d(w) = c*x(w) - 2*f(w). Let d(g) = 0. Calculate g.
-7, -1
Suppose -9 + 59 = -10*p. Let w(t) = 10*t**3 - 45*t**2 + 65*t - 25. Let i(n) = n**3 - 2*n + 2. Let d(r) = p*i(r) + w(r). Suppose d(y) = 0. What is y?
1, 7
Let u(f) be the third derivative of -f**8/84 - 2*f**7/21 - f**6/15 + 4*f**5/3 + 4*f**4 + 30*f**2 - f. Solve u(y) = 0 for y.
-3, -2, 0, 2
Let c be -17 + 4/(168/774) + 60/(-42). Let i = -304 + 3954/13. Factor c + i*g**2 + 4/13*g.
2*g*(g + 2)/13
Factor -5*k**3 + 659*k - 689*k + 10*k**3 - 6*k**2 + 40 - 9*k**2.
5*(k - 4)*(k - 1)*(k + 2)
Let k = 13661/50 - 1366/5. Let z(s) be the second derivative of -7*s + 0 - k*s**5 - 25*s**2 - 1/2*s**4 - 5*s**3. Suppose z(h) = 0. What is h?
-5
Let f = -92 + 84. Let b be (f/60)/(7 - 1788/255). Find c, given that -26/3*c + 64/3*c**2 - b*c**3 - 4/3 = 0.
-2/17, 1
Let b = -60852 + 60855. Factor -3/4*p**2 + 1/4*p**b + 0*p + 0.
p**2*(p - 3)/4
Factor -96/5 + 2/5*t**3 + 104/5*t - 32/5*t**2.
2*(t - 12)*(t - 2)**2/5
Factor 9*a**2 + 6*a**2 - 1294*a - 21*a**2 + a**2 + 6*a**2.
a*(a - 1294)
Suppose -190*s + 2*g - 41 = -193*s, -4*g = -5*s - 49. Factor -2/9*u**4 + 0 + 10/9*u**2 + 2/9*u**5 - 4/9*u - 2/3*u**s.
2*u*(u - 1)**3*(u + 2)/9
Let u(i) = 25*i + 27*i**3 - 9*i**2 - 40*i + 30*i**2. Let s(t) = -2*t**3 - t**2 + t. Let o(b) = -15*s(b) - u(b). Factor o(f).
3*f**2*(f - 2)
Let l be (8/((-96)/(-18)))/(360/160). Factor -72*q - 144 - 12*q**2 - l*q**3.
-2*(q + 6)**3/3
Let m(d) be the second derivative of 1/4*d**5 + 0*d**2 - 25/3*d**3 + 3 + 5/4*d**4 - 4*d. Determine j so that m(j) = 0.
-5, 0, 2
Let 664/3 + 4/3*o**3 + 664/3*o**4 - 2/3*o - 1328/3*o**2 - 2/3*o**5 = 0. Calculate o.
-1, 1, 332
Let p(g) = -4*g**3 + 7222*g**2 - 8683254*g + 3481984856. Let f(l) = -5*l**3 + 7224*l**2 - 8683254*l + 3481984857. Let r(c) = -2*f(c) + 3*p(c). Factor r(m).
-2*(m - 1203)**3
Find u, given that -80/3*u**3 + 82/3*u + 340/3*u**2 - 308/3 - 32/3*u**4 - 2/3*u**5 = 0.
-11, -7, -1, 1, 2
Let -86/13*u**2 + 10/13*u**3 + 0 - 36/13*u = 0. What is u?
-2/5, 0, 9
Let m be 448/(-288) + (-894)/(-540). Solve -3/5*x**2 - 4/5 - m*x**3 + 3/2*x = 0 for x.
-8, 1
Suppose 0 = -8*p - 295 - 65. Let u be (-5)/(p/11) + 11/(-11). Solve u*m**2 + 16/3*m + 32 = 0 for m.
-12
Suppose 0 = -236*c + 222*c + 1288. Suppose -c = -3*g