e u(6). Factor 3*d**2 + 3*d**2 + 32*d + 36 - 2*d**2 - s*d.
4*(d - 3)**2
Let g(k) = 201*k**3 + 202*k**2 + 21*k - 7. Let t(v) = 7*v**3 + v - 1. Let l(a) = 2*g(a) - 6*t(a). Factor l(y).
4*(y + 1)*(9*y + 2)*(10*y - 1)
Let u(y) be the third derivative of y**6/360 - y**5/40 - 5*y**4/12 - 13*y**3/3 - 14*y**2. Let z(r) be the first derivative of u(r). Factor z(p).
(p - 5)*(p + 2)
Let m(f) be the first derivative of -1/15*f**6 + 0*f + 0*f**2 + 8/15*f**3 + 4 + 12/25*f**5 - 9/10*f**4. Suppose m(s) = 0. What is s?
0, 1, 4
Let g(i) be the second derivative of -49*i**5/170 - 1001*i**4/102 + 584*i**3/51 - 84*i**2/17 + 9553*i. Let g(x) = 0. Calculate x.
-21, 2/7
Let o = -15876 + 79404/5. Factor 104/5*j**2 - o*j**3 - 192/5*j + 2/5*j**4 + 128/5.
2*(j - 4)**2*(j - 2)**2/5
Let u(d) be the first derivative of d**6/30 + 17*d**5/40 + 13*d**4/8 + 2*d**3/3 - 4*d**2 + 42*d - 7. Let x(h) be the first derivative of u(h). Factor x(v).
(v + 1)*(v + 4)**2*(2*v - 1)/2
Let p(n) = n**2 - n - 1. Let b = 134 - 120. Suppose b*d = 10*d + 12. Let w(m) = -6*m**2 - 3*m + 3. Let g(u) = d*p(u) + w(u). Let g(j) = 0. What is j?
-2, 0
Let h be (-44 - (-35518)/649) + (2 - -2). Let x = 354/11 - 32. Find c, given that 24/11*c**3 + 108/11*c**2 + x*c**4 + h + 216/11*c = 0.
-3
Let v be 2/(-12) - 2981/(-66). Factor -3*a**3 + v*a**2 + 11765 - 11765.
-3*a**2*(a - 15)
Let k(s) = s + 1. Let x be k(3). Suppose -x = -4*w + 4. Let -3*t**w - 5*t + 2*t**2 + 6*t**2 = 0. What is t?
0, 1
Determine l so that -1 + 1/5*l - 1/5*l**3 + l**2 = 0.
-1, 1, 5
Determine m so that -2/19*m**3 + 6*m + 0 - 32/19*m**2 = 0.
-19, 0, 3
Let o(t) be the second derivative of 2*t**7/21 - 952*t**6/15 - 1437*t**5/5 - 4*t**4/3 + 3832*t**3/3 + 1476*t. Let o(k) = 0. What is k?
-2, 0, 1, 479
Let o be 5/(-25) + 112/10. Suppose 1 = -c + o. Solve 8*r - 24*r + 12*r**3 + 5*r**5 - 3*r**5 + 8*r**2 - c*r**4 = 0.
-1, 0, 2
Let l be 2/10*(3208 + -3198). Suppose -15/2*u**l - 1/2*u**3 - 49/2 - 63/2*u = 0. What is u?
-7, -1
Let z(n) be the first derivative of 7/2*n**2 + 0*n - 1/12*n**3 + 0*n**4 + 37 + 1/120*n**5. Let l(a) be the second derivative of z(a). Factor l(p).
(p - 1)*(p + 1)/2
Factor -52*r**2 - 5*r**2 - 3*r**2 + 160*r**5 - 65*r**3 - 155*r**5.
5*r**2*(r - 4)*(r + 1)*(r + 3)
Let x be (-1869)/(-178)*(-1)/(-14). Let u(h) be the second derivative of 0 - 32*h + 3/20*h**5 - x*h**4 + 0*h**2 + 0*h**3. Factor u(p).
3*p**2*(p - 3)
Let a be 0/(-100)*2/(-8). Let f = -3/470 - -97/470. Factor 0 + a*z**4 + 8/5*z**2 - 3/5*z - 6/5*z**3 + f*z**5.
z*(z - 1)**3*(z + 3)/5
Let a(i) be the first derivative of i**6/75 + 7*i**5/50 + 3*i**4/10 - 7*i**3/15 - 2*i**2 + 15*i - 151. Let g(o) be the first derivative of a(o). Solve g(q) = 0.
-5, -2, -1, 1
Let w(n) = n**3 - 22*n**2 - 2. Let q be w(22). Let p be (-2 + -2)/q - (-10)/1. Factor -3*s**3 + 16 - 22*s - p*s**2 + 6*s - 4*s**4 + 19*s**3.
-4*(s - 2)**2*(s - 1)*(s + 1)
Let l(b) be the third derivative of -7/60*b**6 + 2 + 0*b - 8/3*b**3 + 11/10*b**5 + 33*b**2 - 3/2*b**4. Factor l(d).
-2*(d - 4)*(d - 1)*(7*d + 2)
Factor 4/9*h**5 + 0*h - 20/3*h**3 + 0*h**2 + 0 - 8/9*h**4.
4*h**3*(h - 5)*(h + 3)/9
Let c(l) = 4*l**2 + 6*l - 31. Let v(y) = -3*y**2 - 9*y + 30. Suppose -106*o = -111*o - 35. Let h(d) = o*v(d) - 6*c(d). Factor h(j).
-3*(j - 8)*(j - 1)
Let k(j) be the third derivative of -104*j**5/15 + 205*j**4/12 + j**3 + 995*j**2. Factor k(z).
-2*(z - 1)*(208*z + 3)
Let f(p) be the second derivative of 3*p**5/80 - 11*p**4/8 - 25*p**3/2 - 39*p**2 - 1161*p. What is z in f(z) = 0?
-2, 26
Let k(q) be the first derivative of 513/2*q**4 - 6859/2*q**2 + 56/5*q**5 + 7 + 5776/3*q**3 + 0*q + 1/6*q**6. Let k(d) = 0. What is d?
-19, 0, 1
Let r(n) be the third derivative of -1/12*n**5 - 250/3*n**3 + 0*n + 25/6*n**4 + 0 - 123*n**2. Factor r(y).
-5*(y - 10)**2
Let m(r) be the second derivative of -35 - r + 0*r**2 - 1/15*r**3 + 1/60*r**4. Let m(s) = 0. Calculate s.
0, 2
Let a(m) be the second derivative of m**7/210 + 8*m**6/45 + 77*m**5/30 + 49*m**4/3 + 43*m**3/2 - 131*m. Let g(i) be the second derivative of a(i). Factor g(x).
4*(x + 2)*(x + 7)**2
Let v(h) = h**3 - 12*h**2 + 28*h - 1. Let a be v(7). Let i be 10/a*-10 - (-3 + 1). Find j, given that -4/9*j**5 + 0*j + 0*j**2 + 0*j**3 + 0 + 0*j**i = 0.
0
Let j(i) be the first derivative of 2*i**3/51 - 103*i**2/17 - 1308*i/17 + 3824. Solve j(b) = 0 for b.
-6, 109
Let r(q) = -q**3 + 8*q**2 + 25*q - 19. Let d be r(10). Suppose 30*m = 18*m + d*m. Factor m - 2*x**2 + 4/3*x + 2/3*x**3.
2*x*(x - 2)*(x - 1)/3
Let q(v) be the first derivative of -v**3/4 - 135*v**2/4 + 48. Factor q(c).
-3*c*(c + 90)/4
Suppose -5*n = -4*n - 4*w + 3, -5*n + 73 = 2*w. What is q in 35*q + 12*q**3 + 10 + 45*q**2 + n*q**3 + 20*q**4 - 29*q**4 + 14*q**4 = 0?
-2, -1
Let u(p) be the first derivative of p**3/21 - 167*p**2/14 - 24*p - 398. Find v, given that u(v) = 0.
-1, 168
Let d(i) be the first derivative of 1/14*i**4 - 13/7*i**2 + 12/7*i - 2/35*i**5 + 2/3*i**3 - 13. Suppose d(r) = 0. Calculate r.
-3, 1, 2
Suppose 0 = -161*t + 168*t. Let k(z) be the second derivative of -z - 1/15*z**6 + 1/6*z**5 + 0*z**2 - 1/18*z**4 + t - 1/9*z**3. Determine h so that k(h) = 0.
-1/3, 0, 1
Let s(b) = b**2 - 328*b + 654. Let u be s(2). Let j = 174/329 + 2/47. Factor j*f**u + 8/7*f - 12/7.
4*(f - 1)*(f + 3)/7
Let o(u) be the second derivative of 0*u**2 - 35/6*u**4 - 1/60*u**6 + 94*u + 50/3*u**3 - 1 + 11/20*u**5. Let o(t) = 0. Calculate t.
0, 2, 10
Let f(v) be the third derivative of -v**5/300 + 21*v**4/40 + 32*v**3/15 - 658*v**2. Factor f(a).
-(a - 64)*(a + 1)/5
Let q(l) = -13*l**2 - 3*l. Let h(t) = 26*t**2 - 38*t - 54. Let a(x) = 5*h(x) + 5*q(x). Factor a(p).
5*(p + 1)*(13*p - 54)
Suppose 900*r**4 + 4*r**3 + 3*r**5 - 8*r**2 - 898*r**4 + 4*r**5 - 8*r**5 = 0. Calculate r.
-2, 0, 2
Let a(r) be the third derivative of -19/12*r**4 + 1/4*r**5 - 167*r**2 + 4*r**3 + 0*r - 1/120*r**6 + 0. Factor a(m).
-(m - 12)*(m - 2)*(m - 1)
Let v(u) be the first derivative of -1/15*u**3 - 1/6*u**4 - 29 + u**2 + 1/50*u**5 - 28*u. Let m(n) be the first derivative of v(n). Factor m(j).
2*(j - 5)*(j - 1)*(j + 1)/5
Suppose 0 + 10 = 2*i. Let o(d) = -9*d**2 + d. Let t(c) = 2*c**2 - c + 1. Let m(y) = i*o(y) + 20*t(y). Factor m(z).
-5*(z - 1)*(z + 4)
Let t(m) be the third derivative of 23/36*m**4 - 1/90*m**5 + 0*m + 6*m**2 - 22/9*m**3 + 5. Factor t(x).
-2*(x - 22)*(x - 1)/3
Let v(k) = 2*k**3 + 15*k - 4. Let q(g) = 7*g**3 + g**2 + 55*g - 16. Let s(a) = -3*q(a) + 11*v(a). Determine m, given that s(m) = 0.
-1, 2
Suppose 11 = -7*l + 4. Let n(c) = -2*c**4 + 2*c**3 - c**2 + c. Let d(f) = f**4 - f. Let k(r) = l*d(r) - n(r). Find y such that k(y) = 0.
0, 1
Let m be 9 + (-200)/41 - 5*1. Let n = -242/369 - m. Factor 0*l + 0 + 2/9*l**2 + n*l**3.
2*l**2*(l + 1)/9
Let b = 1157559 + -1157557. Find n, given that 71*n + 1/2*n**b + 5041/2 = 0.
-71
Let c be (-7 + 100/12 + 1179/(-378))*(-7)/10. Determine b so that 10 - c*b**2 + 5/2*b = 0.
-2, 4
Let p(j) be the first derivative of -2*j**5/5 + 11*j**4/2 - 26*j**3 + 49*j**2 - 40*j + 676. What is r in p(r) = 0?
1, 4, 5
Factor 2/15*b**2 + 1886/15 + 1888/15*b.
2*(b + 1)*(b + 943)/15
Let a(q) be the first derivative of 2*q**3/3 + 500*q**2 + 125000*q - 46. Solve a(s) = 0 for s.
-250
Let f(n) be the first derivative of 0*n + 50 + 0*n**3 + 3/16*n**4 + 3/20*n**5 + 0*n**2. Factor f(h).
3*h**3*(h + 1)/4
Suppose 0 = -6*c - 6 + 18. Factor -c*p + 27 + 3*p**2 - 3*p - 13*p.
3*(p - 3)**2
Let i(m) be the first derivative of -6*m**5/25 + 9*m**4/20 + 4*m**3/5 - 9*m**2/10 - 6*m/5 + 5776. Determine b so that i(b) = 0.
-1, -1/2, 1, 2
Let q be -4 + (-9)/(-3) - 17/(-11). Let f be 7 - (1 - 25)/(-6). Find l such that -8/11 - 2/11*l**f + 0*l + q*l**2 = 0.
-1, 2
Suppose 261*o - 855 + 310 - 233 = 266. Factor -28/5 - o*c**2 - 52/5*c + 4/5*c**3.
4*(c - 7)*(c + 1)**2/5
Let r = 316 + -292. Let f be r*(14/18 - (-36)/(-54)). Find t such that 2/3*t**5 - 8/3*t**2 - 2*t**3 + 4/3*t**4 + 0 + f*t = 0.
-2, 0, 1
Let y(n) = 2*n**2 + 1034*n - 134158. Let v(l) = 2*l**2 - l + 2. Let c(i) = -2*v(i) + y(i). Let c(q) = 0. What is q?
259
Let m = -130 + 123. Let o be (-12)/(3 + 1) - 1*m. Factor -17*j + 2*j + j**2 - o*j - j + 100.
(j - 10)**2
Suppose 5*s - 8 = -2*n, 149*s - 149*s - 3 = 3*n. Suppose -128/7*k**5 - 1394/7*k**3 - 54/7 - 414/7*k - 736/7*k**4 - 1146/7*k**s = 0. Calculate k.
-3, -1, -3/8
Let 