uppose -x - 4*d - 1 = 0, -4*x = -x - 4*d - 29. Let p(l) = -9*l**2 - 2*l + 7. Let a(c) = -4*c**2 - c + 3. Let h(g) = x*a(g) - 3*p(g). Factor h(z).
-z*(z + 1)
Let 3/5*t + 1/5*t**4 - 2/5 + 1/5*t**2 - 3/5*t**3 = 0. What is t?
-1, 1, 2
Let r(v) = 2*v**3 + 31*v**2 - 378*v + 19. Let l be r(8). Solve 0 - 4/9*w**5 - 2/9*w**4 - 2/9*w**2 - 4/9*w + 4/3*w**l = 0.
-2, -1/2, 0, 1
Let d(x) = 2*x**2 - 3*x - 9. Suppose 3*b - 5*i - 42 = -4*i, -3*i = -5*b + 66. Let t(m) = m**3 + m**2 - m + 1. Let r(f) = b*t(f) + 3*d(f). Solve r(v) = 0 for v.
-2, -2/5, 1
Let c(q) be the first derivative of 2*q**3/33 - 23*q**2/11 - 167. Suppose c(a) = 0. What is a?
0, 23
Let t(y) be the second derivative of 3*y**5/80 + y**4/16 - 51*y - 4. What is h in t(h) = 0?
-1, 0
Let y(f) = f**3 + 4*f**2 + f - 3. Let q be y(-2). Factor -18*s**3 + 6*s**2 + 31*s**3 - q*s**4 - 10*s**3.
-3*s**2*(s - 2)*(s + 1)
Factor -3/4*g**2 + 24 - 3*g.
-3*(g - 4)*(g + 8)/4
Let q(z) be the first derivative of 1/2*z**2 + 0*z + 0*z**3 + 5 + 1/20*z**5 + 0*z**4. Let o(c) be the second derivative of q(c). Factor o(f).
3*f**2
Suppose 2*o = -5*c + 36, 2*c + c - 32 = 4*o. Solve 52*m - 18 + 7 + 11 + 44*m**2 + c = 0.
-1, -2/11
Let v be (0 + (-2 - -3))*145. Find j such that 10*j - 55*j**2 + 90*j**3 - v*j**4 + 25*j**5 + 15*j**3 + 60*j**4 = 0.
0, 2/5, 1
Let j be (-2)/6 - (-70)/21. Let l**2 - 3*l**2 + 4 - j*l**3 - l**2 + 4*l**3 = 0. What is l?
-1, 2
Let k(u) be the first derivative of -u**6/900 - u**5/225 - u**4/180 + 3*u**2 + 6. Let n(g) be the second derivative of k(g). Factor n(l).
-2*l*(l + 1)**2/15
Let n(s) be the first derivative of -6*s + 4/15*s**5 + 11 + 1/6*s**2 + 2/3*s**4 + 1/2*s**3. Let z(c) be the first derivative of n(c). Factor z(p).
(p + 1)*(4*p + 1)**2/3
Factor -39*s + 43 - 73 + s**3 + 2*s**3 - 6*s**2.
3*(s - 5)*(s + 1)*(s + 2)
Factor -4/3*i - 1/9*i**2 + 13/9.
-(i - 1)*(i + 13)/9
Let k = 17 + -17. Suppose a - 2 = -k*a. Find d, given that d**a + 0 + 16*d - 17*d - 2 = 0.
-1, 2
Let p be (-136 - -121)/(20/(-8)) - (-17)/(-3). Factor -2/3*l - 1/6*l**5 - 2/3*l**2 + 0 + 1/2*l**3 + p*l**4.
-l*(l - 2)**2*(l + 1)**2/6
Suppose 0 - 18/5*v**4 + 28/5*v**3 + 4/5*v**5 + 4/5*v - 18/5*v**2 = 0. Calculate v.
0, 1/2, 1, 2
Let i(c) be the second derivative of -c**5/20 + c**4/3 - 2*c**3/3 + 196*c. Suppose i(v) = 0. Calculate v.
0, 2
Let v be (4 - 1)*(-84)/(-27)*5. Let w = 48 - v. Determine q, given that -14/3*q**2 + 10/3*q**3 + w*q + 0 = 0.
0, 2/5, 1
Suppose 5*h - 20 = m - 0*m, -m + 2*h - 8 = 0. Let v be -1 + m + 2 - -2. Factor 3*s**4 + 5*s - 4*s**4 - 9*s - 3*s**2 + 3*s - v*s**3.
-s*(s + 1)**3
Let j(b) = -26*b**3 + 226*b**2 + 212*b - 10. Let x(q) = -8*q**3 + 75*q**2 + 71*q - 3. Let v(m) = 3*j(m) - 10*x(m). Factor v(w).
2*w*(w - 37)*(w + 1)
Let y be (-16)/(-7) + 4/(-14). Let o(x) = 3*x**2 - 12*x - 13. Let a(p) = 40*p + 285*p + 602 - 252 - 80*p**2. Let w(n) = y*a(n) + 55*o(n). Factor w(h).
5*(h - 3)*(h + 1)
Let v(j) be the first derivative of -j**7/2940 - j**6/630 - j**5/420 + 40*j**3/3 - 22. Let b(l) be the third derivative of v(l). Factor b(f).
-2*f*(f + 1)**2/7
Let o be 1/(-2)*(-5 - -1). Suppose -12 = -o*m - 0*m. Factor m*x**2 - 5 - x**3 - x**3 + 4 - 7.
-2*(x - 2)**2*(x + 1)
Let o = 19 - 4. Factor -2*i**2 - 4*i**4 - 5*i**3 + o - 15 - 2*i**5 + i**5.
-i**2*(i + 1)**2*(i + 2)
Factor -1/2*c**4 - 58*c - 19/2*c**3 - 39*c**2 - 28.
-(c + 1)*(c + 2)**2*(c + 14)/2
Let b(g) = 6*g**2 - 45*g + 4. Let c be b(10). Let j = 619/4 - c. Factor -j*r**3 - 6*r + 12 - 21/4*r**2.
-3*(r - 1)*(r + 4)**2/4
Determine o so that -222*o**3 - 169*o**2 + 124*o**3 - 64*o - 83*o**2 = 0.
-16/7, -2/7, 0
Let l(w) be the second derivative of w**5/110 - 65*w**4/66 + 31*w**3 + 99*w**2 + 49*w. Suppose l(u) = 0. Calculate u.
-1, 33
Suppose 2*r + 208 = -4*g - 2*r, -5*g - r = 276. Let t be g/(-49) + -3 - (1 - 3). Solve -30/7*a**2 + 46/7*a**3 + 9/7*a**5 - 33/7*a**4 + 9/7*a - t = 0.
1/3, 1
Let c be (-23)/(-8) - 1 - 10/(-80). Factor -9*b**c - 5*b**2 - 14*b - 49 + 13*b**2.
-(b + 7)**2
Suppose 0*p**3 - 5*p**2 + 2*p**4 + 1/2*p**5 - 1/2*p + 3 = 0. What is p?
-3, -2, -1, 1
Let k(i) = -3*i**3 + 58*i**2 - 324*i + 650. Let m(b) = -6*b**3 + 118*b**2 - 648*b + 1301. Let j(z) = 5*k(z) - 2*m(z). Factor j(y).
-3*(y - 6)**3
Let u(m) = -m**3 + m**2 + m + 1. Let h(b) be the first derivative of 22*b**3/3 + 26*b**2 + 2*b + 6. Let w(v) = -h(v) + 2*u(v). Factor w(a).
-2*a*(a + 5)**2
Let n(f) be the third derivative of -f**6/220 + 23*f**5/165 + 8*f**4/33 + 2*f**2 - 41*f. Factor n(c).
-2*c*(c - 16)*(3*c + 2)/11
Let x = 3/116 + 18/145. Let j(u) be the second derivative of 0 - 1/14*u**7 + 5*u + 0*u**3 + 1/5*u**6 - x*u**5 + 0*u**2 + 0*u**4. Factor j(p).
-3*p**3*(p - 1)**2
Let j(t) be the first derivative of -t**5/20 - 5*t**4/12 - 7*t**3/6 - 3*t**2/2 - 42*t - 40. Let i(g) be the first derivative of j(g). Factor i(v).
-(v + 1)**2*(v + 3)
Let c(v) be the first derivative of -2*v**3 - 2*v**2 + 2*v + 68. Let c(h) = 0. Calculate h.
-1, 1/3
Let a(y) be the second derivative of 0 + 1/2*y**4 + 1/20*y**5 + 0*y**3 - 1/126*y**7 + 0*y**2 - 2/45*y**6 + 24*y. Solve a(z) = 0 for z.
-3, 0, 2
Suppose -2*k = 5*s - 109, 12 - 71 = -3*s + 2*k. Solve -s*z**2 + 3*z**3 - 15*z + 50*z**2 - 16*z**2 - 16*z**2 - 9 = 0.
-1, 3
Let n = 79 - 60. Factor 68*b**5 + 73*b**5 + n*b**3 + 38*b**2 - 140*b**5 + 7*b**4 + 4 - 13*b**2 + 16*b.
(b + 1)**3*(b + 2)**2
Let o = -174 - -200. Let j(q) = -q + 28. Let w be j(o). Factor 0 - 1/3*p**w + 2/3*p.
-p*(p - 2)/3
Let x(v) be the third derivative of -v**6/200 + 17*v**5/100 + 3*v**4/5 - 504*v**3/5 + 6*v**2 - 19*v. Factor x(w).
-3*(w - 12)**2*(w + 7)/5
Let n(o) be the first derivative of o**4/32 + 49*o**3/8 + 7203*o**2/16 + 117649*o/8 + 479. Solve n(f) = 0 for f.
-49
Factor 23*f**2 - 280*f - f**2 - 4900 - 26*f**2.
-4*(f + 35)**2
Let c(w) be the third derivative of -w**6/720 + 53*w**5/360 + 83*w**4/72 + 28*w**3/9 + 648*w**2. Find k such that c(k) = 0.
-2, -1, 56
Let u(l) be the first derivative of 1/6*l**4 - 2/15*l**5 + 23 + 0*l**2 + 4/9*l**3 + 0*l. Factor u(r).
-2*r**2*(r - 2)*(r + 1)/3
Find k, given that -14/5*k - 22/5*k**2 + 4/5 + 18/5*k**4 + 14/5*k**3 = 0.
-1, 2/9, 1
Let g = -32 + 35. Let 1 + 5 + 12*d - 3*d**3 - g*d**2 + 8 - 2 = 0. What is d?
-2, -1, 2
Suppose 100/11*y - 18/11*y**4 + 92/11*y**3 - 14/11 + 224/11*y**2 = 0. What is y?
-1, 1/9, 7
Let j be (305030/1584)/59 - (2 - 38/18). Find h, given that 3/8*h**3 + 45/8*h + 21/8 + j*h**2 = 0.
-7, -1
Let x(p) be the first derivative of 3/8*p**2 + 1/12*p**3 + 0*p + 6. Find j such that x(j) = 0.
-3, 0
Let b(m) be the first derivative of -36 + 72*m**2 + m**4 + 26*m**3 - 29*m**3 - 13*m**3. Determine c, given that b(c) = 0.
0, 6
Let h be (4/8 - -2)*8/10. Suppose -h*b + 14 = 3*b - 2*f, 5*b + 5*f = 0. Factor -1/2*k**3 - 5/2*k - 1 - 2*k**b.
-(k + 1)**2*(k + 2)/2
Let m(u) be the first derivative of -12 - 12*u - 4/3*u**3 + 8*u**2. Factor m(j).
-4*(j - 3)*(j - 1)
Suppose 0 = 7*y - 2*y - 30. Suppose y*f - 2*f - 16 = 0. Factor -13*m - 4*m**f - 4*m**5 - 4 + 8*m**2 + 9*m + 7*m**3 - 2*m**3 + 3*m**3.
-4*(m - 1)**2*(m + 1)**3
Let v(y) be the first derivative of 0*y**2 - 5/6*y**3 + 2*y - 1/4*y**5 - 5/6*y**4 - 11. Let d(q) be the first derivative of v(q). Find a, given that d(a) = 0.
-1, 0
Let c be 36/5 - (-90 - -97). Factor c - 1/5*v**2 + 1/5*v - 1/5*v**3.
-(v - 1)*(v + 1)**2/5
Let c(v) = -5*v**4 + 41*v**3 - 81*v**2 + 51*v. Let s(k) = 5*k**4 - 40*k**3 + 80*k**2 - 50*k. Let d = 125 - 131. Let m(p) = d*s(p) - 5*c(p). Factor m(x).
-5*x*(x - 3)**2*(x - 1)
Let p(s) = s - 11. Let g be p(14). Let l be 72/9*(g - 1). Determine i, given that 0*i**4 + 3*i**5 - 6*i**4 + l*i - 16*i + 3*i**3 = 0.
0, 1
Let m(n) = n + 26. Let u be m(-26). Let h(f) be the second derivative of -1/90*f**5 + u*f**2 + 0*f**3 + 0 + 0*f**4 - 4*f. What is c in h(c) = 0?
0
Let n(c) be the first derivative of 121*c**3/3 + 176*c**2 + 256*c - 52. Solve n(z) = 0.
-16/11
Let q(d) be the third derivative of -d**8/672 - d**7/140 + 31*d**6/240 - 13*d**5/24 + 9*d**4/8 - 4*d**3/3 - 16*d**2. Determine h so that q(h) = 0.
-8, 1, 2
Let p(g) be the third derivative of g**6/24 - 25*g**5/2 + 3125*g**4/2 - 312500*g**3/3 + 40*g**2 + 1. Factor p(f).
5*(f - 50)**3
Let p(u) be the third derivative of 0 + 7/18*u**4 - 49/9*u**3 + 0*u - 1/90*u**5 - 15*u**2. Factor p(q).
-2*(q - 7)**2/3
Let y(z) be the second derivative of z**4/108 + 23