 -3*x - 96, -86 = -3*c + c - 2*x. Let n be 2/((c/10)/9). Factor 10 - 28*p**2 - n*p**3 - 20*p + 12*p**2 - 18.
-4*(p + 1)**2*(p + 2)
Let i = 3961/7 + -565. Factor -4/7*l - 2/7*l**3 + i*l**2 + 0.
-2*l*(l - 2)*(l - 1)/7
Let w be 2/(-4) - 8*(-7)/112. Factor -5/4*j**3 - 15/4*j**4 + 0 + w*j**2 + 0*j.
-5*j**3*(3*j + 1)/4
Factor 10/13*f**2 - 8/13*f + 0 - 2/13*f**3.
-2*f*(f - 4)*(f - 1)/13
Let p be 4 - (-1 + 3)*1. Suppose 14 = 11*m - 8. Factor -4*d + 5*d + 3*d**m + 2*d**2 - 4*d**p.
d*(d + 1)
Let p(z) = -z**3 + 6*z**2 - 8*z + 4. Let v be p(4). Determine f, given that 1/5*f**v + 6/5*f**3 + 8/5*f + 12/5*f**2 + 0 = 0.
-2, 0
Let i(m) be the first derivative of 121*m**6/4 - 1518*m**5/5 + 3609*m**4/8 - 170*m**3 + 21*m**2 + 102. Let i(p) = 0. What is p?
0, 2/11, 1, 7
Let z = -173/3 - -695/12. Let b(y) be the second derivative of -3/2*y**2 + z*y**4 - 7*y + 0 + 0*y**3. Let b(p) = 0. Calculate p.
-1, 1
Factor 13/3*f + 10 - 1/3*f**2.
-(f - 15)*(f + 2)/3
Let y be (-38)/(-6) - (-13)/(-39). Let q(w) be the second derivative of 1/30*w**y + 0*w**2 - 1/6*w**4 + 1/20*w**5 + 0 - 5*w + 0*w**3. Factor q(j).
j**2*(j - 1)*(j + 2)
Let k be (16/(-6))/2*-8. Factor -2/3*j**2 - k - 16/3*j.
-2*(j + 4)**2/3
Determine g, given that -27*g**4 + 72*g**2 + 180*g**5 + 15*g**3 - 176*g**5 + 10*g**3 + 16*g = 0.
-1, -1/4, 0, 4
Solve 546*x - 274*x + x**3 - 24*x**2 - 272*x + 8*x**2 = 0.
0, 16
Let o = -128 + 63. Let d = 95 + o. Solve -d + 30 - 4*p**2 = 0.
0
Let p(n) be the first derivative of 1/21*n**2 - 4 + 2/63*n**3 - 2/21*n - 1/42*n**4. Solve p(i) = 0.
-1, 1
Let c = 134 + -130. Factor -3/2*p**3 + 0 + 0*p**2 + 0*p + 3/2*p**c.
3*p**3*(p - 1)/2
Let m be 238/28 - (-6)/4. Let r be (28/m)/(3/15). Let -4*g**4 - 14*g**5 + 3*g**2 + 6*g**2 + r*g**3 - 5*g**2 = 0. What is g?
-1, -2/7, 0, 1
Suppose -6*h + 2*h + 16 = 0. Factor 24*q + 229*q + h*q**4 + 100 + 184*q**2 + 48*q**3 - 13*q.
4*(q + 1)**2*(q + 5)**2
Suppose 2*q = 3*q - 29. Factor 25 + 20*x**2 - 16*x**3 - 54 + q - 4*x.
-4*x*(x - 1)*(4*x - 1)
Let q(a) be the third derivative of a**8/112 + 3*a**7/10 + 167*a**6/40 + 623*a**5/20 + 135*a**4 + 350*a**3 + 577*a**2. Find l such that q(l) = 0.
-7, -5, -2
Let y(w) be the first derivative of -w**4/24 - w**3/12 - 15*w + 4. Let q(h) be the first derivative of y(h). Factor q(s).
-s*(s + 1)/2
Let z(b) be the third derivative of b**5/10 - 193*b**4/6 - 43*b**3 + b**2 + 124. Factor z(o).
2*(o - 129)*(3*o + 1)
Factor -68*y**3 - 4455 + 7*y**4 - 77*y**3 + 25*y**3 - 4320*y - 1350*y**2 - 2*y**4.
5*(y - 33)*(y + 3)**3
Let i(v) be the third derivative of -v**6/24 + v**5/4 + 85*v**4/12 + 40*v**3 + 203*v**2. Solve i(y) = 0 for y.
-3, -2, 8
Suppose -11*y = 221 - 243. Factor 3*r + 1/2*r**y - 7/2.
(r - 1)*(r + 7)/2
Suppose g + 3*t = 27, 0 = 2*g + 3*t - 39 - 6. Solve 7*x**2 + x**3 + 11*x**2 - 3*x + 2 - g*x**2 = 0 for x.
-2, 1
Suppose 18 + 30 = 12*t. Let -12 + 5*w**2 - w**2 - t*w + 4*w**3 + 0 + 8*w**2 = 0. What is w?
-3, -1, 1
Let i(c) be the third derivative of -c**6/270 - c**5/45 + c**4/6 - 10*c**3/27 + c**2 + 12. Factor i(g).
-4*(g - 1)**2*(g + 5)/9
Let g(p) be the second derivative of -p**4/6 - 6*p**3 - 72*p**2 + 809*p. Suppose g(j) = 0. What is j?
-12, -6
Suppose 6*n = 7*n - 5. Suppose -2*r + 9 = n. Let -1/3*a**3 + 2/3 + 1/3*a**4 + 1/3*a - a**r = 0. What is a?
-1, 1, 2
Let x(h) be the first derivative of -14*h**5/5 - 15*h**4 + 82*h**3/3 + 84*h**2 + 40*h - 64. Find t such that x(t) = 0.
-5, -1, -2/7, 2
Let w(t) be the second derivative of -t**7/3360 + t**6/320 - t**5/80 - 23*t**4/12 + 19*t. Let z(u) be the third derivative of w(u). Factor z(j).
-3*(j - 2)*(j - 1)/4
Let c(a) = 18*a**2 - 15*a**2 + 4*a**3 - 8 + 10. Let o = 2 + -5. Let w(x) = 11*x**3 + 8*x**2 - x + 6. Let v(y) = o*w(y) + 8*c(y). Factor v(m).
-(m - 1)**2*(m + 2)
Let v(l) be the second derivative of -l**5/10 - l**4/3 - l**3/3 - 2*l + 2. Factor v(i).
-2*i*(i + 1)**2
Factor 0*k - 1/5*k**4 + 0 - 2/5*k**2 + 3/5*k**3.
-k**2*(k - 2)*(k - 1)/5
Factor -2/7*k**3 + 6/7*k**2 + 8*k + 0.
-2*k*(k - 7)*(k + 4)/7
Suppose -30 - 5/4*x**2 - 125/4*x = 0. What is x?
-24, -1
Let c(x) be the second derivative of -x**7/189 + x**6/15 - 23*x**5/90 + 11*x**4/54 + 8*x**3/9 - 20*x**2/9 + 112*x. Let c(q) = 0. Calculate q.
-1, 1, 2, 5
Solve 51*t**2 - 20*t**2 + 96 - 87 - 51*t - 5*t**3 = 0.
1/5, 3
Suppose -2*v + 177 = -5*q, 2*v + 3*q + 2*q - 127 = 0. Factor 24*k - k**2 - k**2 + v - 148.
-2*(k - 6)**2
Let m(u) be the second derivative of 3/11*u**3 - 4*u - 1/11*u**4 + 1/110*u**5 + 0*u**2 + 0. What is p in m(p) = 0?
0, 3
Suppose 26*p = 21*p - 20. Let f be (p - -2)*(-1)/7. Factor f*g**2 + 0 - 2/7*g**4 + 2/7*g - 2/7*g**3.
-2*g*(g - 1)*(g + 1)**2/7
Let y = 28 - 20. Find v such that -v - y*v - 12*v**3 + 3*v + 29*v**2 - 44*v**2 - 3*v**4 = 0.
-2, -1, 0
Determine z so that 5 - 30*z + 60*z**2 + 11 - 36*z**4 + 50*z**3 + 14 + 11 - 45 = 0.
-1, -1/9, 1/2, 2
Let s(l) be the third derivative of l**8/448 - 11*l**7/280 + 9*l**6/32 - 81*l**5/80 + 27*l**4/16 - 3*l**2 + 4. Solve s(r) = 0 for r.
0, 2, 3
Let d be 8/(-3)*(47/(-4) + 2). Let y be (2/(-22))/(6 + d/(-4)). Factor 2/11 + y*o**5 + 2/11*o**4 - 4/11*o**3 - 4/11*o**2 + 2/11*o.
2*(o - 1)**2*(o + 1)**3/11
Let l(n) be the first derivative of -3*n**4/16 + 9*n**2/8 - 3*n/2 + 91. Factor l(p).
-3*(p - 1)**2*(p + 2)/4
Let q be ((-9)/(-90))/((-150)/(-4)). Let i = q + 5621/1500. Suppose -9/4*o**3 + i*o**2 - 7/4*o + 1/4 = 0. Calculate o.
1/3, 1
Let z be -5 - 11/(-2) - (-7)/2. Suppose -6*b + 4*b + 3*f + 6 = 0, z*b + 10 = -5*f. Factor -1/2*x**2 + 0 + b*x.
-x**2/2
Let s be -1*(3 + -6 + 0). Let g be 1/(6/4)*s. Factor 3*f**4 - g*f**5 + 4*f**5 + f**4 + 2*f**3.
2*f**3*(f + 1)**2
Let f(m) be the third derivative of 0 + 1/72*m**6 - 1/72*m**4 + 0*m**3 + 0*m + 1/210*m**7 - 8*m**2 + 1/180*m**5. Let f(i) = 0. What is i?
-1, 0, 1/3
Suppose -447*h = -450*h + 18. Let n(i) be the second derivative of 5*i + 0*i**2 - 1/78*i**4 + 0 - 1/130*i**5 + 2/195*i**h + 0*i**3. Find t, given that n(t) = 0.
-1/2, 0, 1
Suppose 19*l = 25*l + 60. Let z be (-2 - 16/l)*6/(-4). Factor -24/5*u + z*u**2 + 48/5.
3*(u - 4)**2/5
Suppose 10406 - 282*t - 3779 + 8164*t**2 - 8161*t**2 = 0. Calculate t.
47
Factor 10*y**3 - 8*y**2 - 10*y**3 + 10*y**3 + 2*y**3 - 4*y**4.
-4*y**2*(y - 2)*(y - 1)
Let i(c) be the third derivative of c**8/2016 - c**7/420 - c**6/240 + 7*c**5/360 + c**4/24 - 230*c**2. Factor i(q).
q*(q - 3)*(q - 2)*(q + 1)**2/6
Factor 441/4 - 21/2*d + 1/4*d**2.
(d - 21)**2/4
Suppose -4*d = -3*r - 32, 3*r + 3 = 6*r + 3*d. Let p = r - -8. Solve -4/5*n**2 + 2/5*n**3 + 0 + 4/5*n**p - 2/5*n**5 + 0*n = 0 for n.
-1, 0, 1, 2
Let u(p) be the first derivative of -p**8/840 + p**7/140 - p**6/60 + p**5/60 - 16*p**3/3 - 9. Let s(m) be the third derivative of u(m). Factor s(r).
-2*r*(r - 1)**3
Suppose 7*q + q - 16 = 0. Factor 10*z**q - 7*z**3 - 3*z - 4 + 14*z**2 - 36*z**2 + 6.
-(z + 1)**2*(7*z - 2)
Let b(z) be the second derivative of 0*z**3 - 12*z + 1/24*z**4 + 0 - z**2. What is j in b(j) = 0?
-2, 2
Let u(v) = 2*v**2 - 52*v - 26. Let y(h) = 3*h + 1. Let d(j) = -u(j) - y(j). Determine g, given that d(g) = 0.
-1/2, 25
Factor -4*q**3 - 2*q + 6 - 76/3*q**2 + 50/3*q**5 + 30*q**4.
2*(q + 1)**3*(5*q - 3)**2/3
Let s(w) = -1. Let o(a) = a**2 + 4*a - 4. Suppose b + 5 = -4*b. Let m(u) = b*o(u) - s(u). Factor m(g).
-(g - 1)*(g + 5)
Let m(p) = 21*p**2 - 1485*p + 1617. Let f(u) = -5*u**2 + 375*u - 404. Let c(l) = 9*f(l) + 2*m(l). Factor c(n).
-3*(n - 134)*(n - 1)
Let b(s) be the third derivative of 0 + 0*s**3 + 0*s**4 + 1/60*s**6 + 0*s - 13*s**2 - 1/15*s**5. Find d, given that b(d) = 0.
0, 2
Let p(k) be the second derivative of 3/7*k**2 + 2 - 9*k - 5/14*k**3 + 1/7*k**4 - 3/140*k**5. Determine o so that p(o) = 0.
1, 2
Let i(d) be the third derivative of d**8/6720 + d**7/1680 - d**5/60 - 6*d**2. Let g(c) be the third derivative of i(c). Let g(s) = 0. Calculate s.
-1, 0
Let q(o) be the third derivative of o**8/504 - 16*o**7/315 - o**6/60 + 23*o**5/45 + 8*o**4/9 + 644*o**2. Let q(k) = 0. Calculate k.
-1, 0, 2, 16
Suppose -8*p - 15*p = -49*p + 9*p. Factor -1/10*n**2 + p*n + 2/5.
-(n - 2)*(n + 2)/10
Factor 5 + 27*o**2 + 27 - 86*o**2 + 39*o**2 + 30*o**2 - 2*o**3 + 44*o.
-2*(o - 8)*(o + 1)*(o + 2)
Let j(p) be the first derivative of 2*p**3/27 + 10*p**2/9 + 67. Factor j(g).
2*g*(g + 10)/9
Let m(d) be the third derivative of 18*d**2 + 5/52*d**4 + 0 +