ppose -10*u = 11*u + 93 - 135. Let x(t) be the first derivative of 2/15*t**3 - 2/5*t**u - 6 + 0*t + 1/10*t**4. Factor x(l).
2*l*(l - 1)*(l + 2)/5
Let x = -87 - -71. Let f be (1 - 0)/((-8)/x). Factor -15*p**2 - 2*p**f + 9 - 9*p**2 + 2*p**2 - 15*p.
-3*(p + 1)*(8*p - 3)
Let h(i) = 8*i**4 + 20*i**3 + 40*i**2 - 92*i + 36. Let f(r) = r**4 + r**3 + r**2 - r - 1. Let y = -123 + 135. Let k(j) = y*f(j) - h(j). Factor k(x).
4*(x - 2)**2*(x - 1)*(x + 3)
Let m be (44/16 - 2)*3/((-225)/(-5)). Let g(y) be the third derivative of 0*y + 3/20*y**5 + 0 - 1/70*y**7 - 1/2*y**4 - 17*y**2 - 2*y**3 + m*y**6. Factor g(n).
-3*(n - 2)**2*(n + 1)**2
Let j = 27202 - 27197. Let n(u) be the first derivative of 5*u**2 + 6 - j*u - 5/3*u**3. What is f in n(f) = 0?
1
Factor 75*f**3 + 0 + 0*f - 1/5*f**4 + 376/5*f**2.
-f**2*(f - 376)*(f + 1)/5
Let d be 17 - -4*(-2 - -1). Let p = d + -9. Factor -3*t**4 - 2*t**3 - p*t**3 + 6*t**2 + 8*t**3 + t**3.
-3*t**2*(t - 2)*(t + 1)
Let y be (-1366)/(-3) + -1 + (-5)/(-3). Factor -296*x**2 - 2*x**5 - 176 - 140*x**2 - 58*x**4 - 190*x**3 - y*x + 22*x**4.
-2*(x + 1)*(x + 2)**3*(x + 11)
Let i(t) be the third derivative of 1089/2*t**3 - 2 + 0*t - 33/4*t**4 + 1/20*t**5 + 26*t**2. Suppose i(l) = 0. Calculate l.
33
Let q(r) = -r**3 + 8*r**2 - 11*r - 4. Suppose -4*w + 20 + 0 = 0. Let l be q(w). Suppose -18*k**2 + 31*k**2 - 3*k - l*k**2 = 0. Calculate k.
-1, 0
Suppose 6862*n = 6830*n. Suppose 1/6*f**2 + n + 7/6*f = 0. Calculate f.
-7, 0
Let f(y) = 66*y**2 + 448*y - 510. Let a = -299 + 304. Let u(j) = -j**3 + 134*j**2 + 896*j - 1019. Let l(h) = a*f(h) - 2*u(h). Solve l(m) = 0.
-16, 1
Let q(b) be the first derivative of 2*b**3/39 - 22*b**2/13 + 144*b/13 + 1572. Factor q(y).
2*(y - 18)*(y - 4)/13
Let k = -143785/3 + 47929. Determine s so that k*s**2 + 8/3 - 10/3*s = 0.
1, 4
Suppose 2671*c - 10214 = -2201. Find v such that -3/7*v**5 - 39/7*v + 6*v**3 - 6/7*v**2 - 15/7*v**4 + c = 0.
-7, -1, 1
Let m(i) be the third derivative of -i**7/84 + 23*i**6/24 - 20*i**5 - 120*i**4 - 11*i**2 - 2*i + 35. Solve m(u) = 0 for u.
-2, 0, 24
Let m(l) be the third derivative of 23/12*l**3 + 11/15*l**5 + 91/48*l**4 - 2*l**2 + 0*l + 5 - 1/60*l**6. Factor m(z).
-(z - 23)*(2*z + 1)**2/2
Let x be (72/(-20) - -3)*-5 + 2891. Factor -92*n**3 + 43904 + 168*n**2 - x*n + 90*n**3 - 1810*n.
-2*(n - 28)**3
Let g(h) be the third derivative of h**7/105 - 5*h**6/6 + 118*h**5/5 - 943*h**4/6 - 2645*h**3/3 + 4*h**2 + 201. Solve g(p) = 0.
-1, 5, 23
Let s(n) = n + 24. Let v be s(-24). Suppose v = 20*y - 23*y + 60. Let -14*k**5 + 3 + 4*k + k**2 - 18*k**3 + 22*k**5 - 18*k**2 + y*k**4 = 0. Calculate k.
-3, -1/2, 1/2, 1
Let y(x) be the second derivative of x**4/84 - 116*x**3/21 + 33*x**2/2 + 22*x + 35. Factor y(f).
(f - 231)*(f - 1)/7
Let b = -25 + 63. Factor 16*y**2 + b*y**2 + 490*y**3 - 16 - 72*y + 6*y**2 + 24*y**2.
2*(5*y - 2)*(7*y + 2)**2
Let o(h) be the first derivative of h**9/504 + 13*h**8/560 + 3*h**7/140 - 32*h**3 - 88. Let w(y) be the third derivative of o(y). Factor w(i).
3*i**3*(i + 6)*(2*i + 1)
Let l(k) = -6*k**2 + 15*k + 88. Let x be l(-9). Let o = -533 - x. Suppose 0*m**2 + o - 2/5*m**4 - 6/5*m**3 + 8/5*m = 0. What is m?
-2, 0, 1
Let u(v) be the second derivative of 1/24*v**4 + 4/3*v**3 + 26*v + 3*v**2 - 1/60*v**6 - 1/10*v**5 + 0. Let u(d) = 0. What is d?
-3, -2, -1, 2
Let p be (-95)/(-228) + (-24)/144. Factor p*n**2 + 1/2*n + 1/4.
(n + 1)**2/4
Solve -391891*u**2 + 8*u**5 + 13*u**5 - 228*u + 153*u**3 + 391753*u**2 + 120*u**4 + 72 = 0.
-3, -2, 2/7, 1
Let z(o) = 24*o + 84. Let l be z(-3). Factor 8730*i**3 - 14*i**2 - 10 - l*i - 8732*i**3 - 10*i.
-2*(i + 1)**2*(i + 5)
Suppose 8 = 2*a + 4*c, 8 + 1 = 5*a - c. Factor 1930*g + 2*g**3 + 131*g**2 + g**a + 248*g.
2*g*(g + 33)**2
Let f(m) be the first derivative of m**4/3 - 4*m**3/3 - 16*m**2 + 9*m - 74. Let l(x) be the first derivative of f(x). Determine u so that l(u) = 0.
-2, 4
Factor 91*v**2 + 742*v**3 - 743*v**3 + 94*v**2.
-v**2*(v - 185)
Let s be (12/(-10))/((-628)/(-80) - 8). Solve -125*t + 93*t + 132 + 4*t**2 - s*t**2 = 0.
-11, 3
Let a(l) be the second derivative of -l**7/840 - l**6/120 + l**4/6 + 2*l**3/3 + 5*l**2/2 + 66*l. Let w(c) be the first derivative of a(c). Factor w(d).
-(d - 2)*(d + 2)**3/4
Let u = 907089/4 + -226772. Find i such that 5/2*i - 6 + u*i**2 = 0.
-12, 2
Let m be (4/(-3))/(-2)*6. Suppose -4*t = -m*d + 20, 0 = d + t - 6 + 1. Find p such that -p**4 - 1 + 7*p**2 + 7*p**3 - d*p**2 - 7*p**3 = 0.
-1, 1
Let q = 4210 + -4210. Let k(o) be the second derivative of 0*o**4 - 1/63*o**7 + 0*o**6 - 1/9*o**3 + q + 6*o + 1/15*o**5 + 0*o**2. Determine r so that k(r) = 0.
-1, 0, 1
Suppose -41*r + 392 - 44 = 75*r. Let z(q) be the second derivative of 0 - 1/3*q**2 - 23*q + 1/72*q**4 + 1/120*q**5 - 1/9*q**r. What is d in z(d) = 0?
-2, -1, 2
Let d = 33 + -39. Let b(z) = z**2 - 6*z. Let x(h) = h**2 - h. Let y(r) = d*x(r) + 3*b(r). Let y(l) = 0. Calculate l.
-4, 0
Let k(z) be the third derivative of z**9/211680 - z**8/17640 + z**7/3528 - z**6/1260 + z**5/12 - 17*z**2. Let x(t) be the third derivative of k(t). Factor x(n).
2*(n - 2)*(n - 1)**2/7
Let n(h) = -36*h**2 - 623970*h + 953839059. Let m(v) = v**2 + 18352*v - 28054090. Let p(a) = 69*m(a) + 2*n(a). Find u, given that p(u) = 0.
3058
Factor -3/4*y**2 - 9075 - 165*y.
-3*(y + 110)**2/4
Let t(d) = d**3 - 14*d**2 - 30*d - 22. Let a be t(16). Find g, given that -4*g**5 + 9*g**4 + 5*g**5 + 6 - 5*g**4 - a*g**2 - g = 0.
-3, -2, -1, 1
Suppose 4*b = 5*u - 45, 4*b - 2*u = -b - 52. Let m = b - -12. Factor 41*h**2 - 39*h**m + h + h.
2*h*(h + 1)
Let d(v) = -v**2 - 1473*v - 1502. Let c(l) = -2*l**2 - 4421*l - 4504. Let u(o) = -6*c(o) + 17*d(o). Factor u(x).
-5*(x - 298)*(x + 1)
Factor 33*w - 23/2*w**2 + w**4 + 0 - 9/2*w**3.
w*(w - 2)*(w + 3)*(2*w - 11)/2
Let j = -396 + 459. Let g be j/14*8/9. Factor -216/5*t**2 - 24/5*t**g + 0 + 108/5*t**3 + 162/5*t + 2/5*t**5.
2*t*(t - 3)**4/5
Suppose -182*k = -175*k. Let p(g) = 21*g + 3. Let t be p(k). Solve 16/7*f**2 - 4/7*f**5 - 4/7*f + 16/7*f**4 - 24/7*f**t + 0 = 0.
0, 1
Let i(p) be the third derivative of -1/45*p**5 + 1/630*p**7 + 0*p**3 - 39*p**2 + 0 + 0*p + 1/360*p**6 - 1/18*p**4. Solve i(w) = 0.
-2, -1, 0, 2
Let t(b) be the second derivative of 1/28*b**7 - 9/2*b**2 - 3/5*b**5 + 3/4*b**4 - 5 + 7/4*b**3 + 0*b**6 + 14*b. Solve t(r) = 0.
-3, -1, 1, 2
Suppose 3*f = -g + 84, -4*f + 208 = -163*g + 167*g. Factor 3/2*h**2 + g*h + 0.
3*h*(h + 24)/2
Let n(u) be the second derivative of -1 - 12/7*u**2 - 8/21*u**3 - 19*u - 1/42*u**4. Determine y, given that n(y) = 0.
-6, -2
Let y(t) be the third derivative of 1/36*t**4 - 1/180*t**6 + 1/18*t**3 - 1/630*t**7 + 0*t - 2 + 0*t**5 + 25*t**2. Factor y(j).
-(j - 1)*(j + 1)**3/3
Factor -838/5*x**2 + 38088/5 + 17112/5*x - 124*x**3 + 10*x**4.
2*(x + 3)**2*(5*x - 46)**2/5
Let f = -467 + 470. Let x be ((-6)/15)/(2/(-10)). Factor -a + 2*a**2 - x*a + f*a.
2*a**2
Factor -17670*p**2 - 14924*p - 2*p**4 - 3126*p + 1054*p**3 - 676*p**3.
-2*p*(p - 95)**2*(p + 1)
Let z(w) = -w - w**2 - 7*w + 0 - 4 + 9 + 102. Let v be z(7). What is g in -g + 0 + 1/4*g**v = 0?
0, 4
Let r = -67 + 88. Let 0 - 2*k + 8*k**3 - 16*k + 15*k**2 - r*k**2 - 4 = 0. What is k?
-1, -1/4, 2
Suppose 3/5*q**2 - 519/5 + 516/5*q = 0. Calculate q.
-173, 1
Let a(z) be the second derivative of 1/20*z**4 + 159*z + 9/10*z**3 + 0 + 6*z**2. Let a(v) = 0. Calculate v.
-5, -4
Let a(j) be the first derivative of -j**5 - 9409*j**4 - 5120*j**2 - 20480*j + 37 - 601*j**3 + 9369*j**4 - 39*j**3. Factor a(r).
-5*(r + 8)**4
Let v(z) be the second derivative of -z**7/42 + 4*z**6/5 - 2*z**5 - 8*z**4 + 88*z**3/3 - 1454*z. Factor v(f).
-f*(f - 22)*(f - 2)**2*(f + 2)
Factor -3268/7*c + 1334978/7 + 2/7*c**2.
2*(c - 817)**2/7
Let d(j) be the second derivative of -j**4/6 - 61*j**3/3 + 62*j**2 + 13686*j. Determine s so that d(s) = 0.
-62, 1
Factor -83*z**2 - 27 + 138*z**2 - 45*z**3 + 27 + 40*z**3 + 130*z.
-5*z*(z - 13)*(z + 2)
Let f = 31 - 29. Suppose -16 = -4*z + 4*p, z - 12 = -f*z - 4*p. Find t, given that 0*t**2 + 4*t + z*t - 6*t**2 + 2*t**4 - 4*t = 0.
-2, 0, 1
Suppose -78*p = -64*p + 8736. Let a = -5614/9 - p. Factor a*c**5 + 2/9*c - 8/9*c**4 + 4/3*c**3 + 0 - 8/9*c**2.
2*c*(c - 1)**4/9
Let d be (-5 + 1)/(-16) + 0/(24/(-4)). Let o(a) be the first derivative of -d*a**3 - 75/4*a - 15/4*a**2 + 8. Solve o(c) =