 21/5*z + x*z**2.
3*(z + 2)*(3*z + 1)/5
Let b be (-4 - -4)/14 - (-2)/21. Let w = 178/105 - b. Factor -4/5*k - w + 6/5*k**2 + k**3 + 1/5*k**4.
(k - 1)*(k + 2)**3/5
Factor 9322*w**3 + 9342*w**3 - 40*w + 5*w**4 - 18714*w**3 - 240 + 145*w**2.
5*(w - 4)**2*(w - 3)*(w + 1)
Let d(f) be the second derivative of -27*f**6/10 + 14013*f**5/20 + 4689*f**4/4 + 1565*f**3/2 + 261*f**2 - 2657*f. Factor d(p).
-3*(p - 174)*(3*p + 1)**3
Suppose 17*g - 56 = -5. Factor 0*b**2 + 0 + 8*b**g - 10*b**2 + 4 + 5*b + 6 - 13*b**3.
-5*(b - 1)*(b + 1)*(b + 2)
Let g be (118/(-708))/(-3 - (-11)/4). Let c(x) be the first derivative of g*x**2 + 4 + 0*x + 5/6*x**4 + 14/9*x**3. Solve c(i) = 0.
-1, -2/5, 0
Let f be (-55)/1 - 112917/(-1995). Factor -f*s - 2/5*s**3 + 0 - 8/5*s**2.
-2*s*(s + 2)**2/5
Let a(d) be the first derivative of d**4/30 - 13*d**3/15 - 14*d**2/5 - 76*d - 42. Let f(x) be the first derivative of a(x). Factor f(s).
2*(s - 14)*(s + 1)/5
Let b(u) be the first derivative of u**6/105 - u**4/7 - 8*u**3/21 - 3*u**2/7 - 35*u - 63. Let i(q) be the first derivative of b(q). Factor i(r).
2*(r - 3)*(r + 1)**3/7
Suppose 3*n = 3*o - 21, n - 5 = 837*o - 839*o. Factor 0 - 3/2*b**o + 0*b + 6*b**2 + 0*b**3.
-3*b**2*(b - 2)*(b + 2)/2
Let r be ((-210)/(-12))/(7/42). Let i be 28/r + (-12)/(-30). Factor -2/3*d**3 - i*d + 0 + 4/3*d**2.
-2*d*(d - 1)**2/3
Suppose 236/3*s**2 - 124*s + 163/3*s**3 - 26/3*s**4 + 0 - 1/3*s**5 = 0. Calculate s.
-31, -2, 0, 1, 6
Let l(w) = -10*w**3 - 1089*w**2 + 9*w + 6. Let z(m) = 23*m**3 + 2180*m**2 - 21*m - 14. Let i(c) = 7*l(c) + 3*z(c). Find j such that i(j) = 0.
-1083, 0
Let x be 2/(-84)*-3*((-91)/(-39) + -2). Let l(o) be the second derivative of 8*o + 0*o**2 - 5/21*o**3 + x*o**4 + 0. Factor l(h).
2*h*(h - 5)/7
Let t(q) be the third derivative of -1/1680*q**8 + 0*q**3 - 11/525*q**7 + 0 - 8*q - 5/6*q**4 - 47/200*q**6 + q**2 - 11/15*q**5. Suppose t(g) = 0. What is g?
-10, -1, 0
Factor 275 - 285/2*z + 5/2*z**2.
5*(z - 55)*(z - 2)/2
Suppose 0 + 3 = l. Let w be -2 - (12/(-4) + 0/(-1)). Factor 30*v - 18*v**2 - w - 13 + 8*v**3 - 6*v**l.
2*(v - 7)*(v - 1)**2
Let j(d) be the third derivative of d**8/1344 + 47*d**7/280 - 19*d**6/32 + 143*d**5/240 - 2451*d**2. Factor j(p).
p**2*(p - 1)**2*(p + 143)/4
Let m(r) be the third derivative of -r**6/720 - 11*r**5/90 - 67*r**4/48 - 13*r**3/2 - 9*r**2 - 4*r + 53. Factor m(l).
-(l + 2)*(l + 3)*(l + 39)/6
Let t = -60 - -63. Suppose 2*v - 8 = 2*d - 0*d, -t*v + 28 = 5*d. Suppose 5*u**4 - v*u + 8 - 5*u**3 + 2 - 15*u**2 + 11*u = 0. Calculate u.
-1, 1, 2
Solve 8/9 - 122/9*o**2 + 154/9*o - 40/9*o**3 = 0 for o.
-4, -1/20, 1
Let t(l) be the first derivative of -4/19*l**2 - 1/19*l**6 - 14/19*l**3 - 34 - 33/38*l**4 + 0*l - 2/5*l**5. Let t(j) = 0. What is j?
-4, -1, -1/3, 0
Let l = -244 - -253. Let a(x) = x**3 - 11*x**2 + 20*x - 13. Let z be a(l). Factor -1/3*k**z - 2/3*k**4 + 0 + 0*k + 0*k**2 - 1/3*k**3.
-k**3*(k + 1)**2/3
Let j(q) be the second derivative of -q**6/360 - q**5/160 + q**4/96 + q**3/6 - 37*q**2/2 - 4*q. Let f(p) be the second derivative of j(p). Factor f(c).
-(c + 1)*(4*c - 1)/4
Let c(k) = -k**2 + 4*k + 51. Let n be c(9). Solve 16 - 6 - 108*b + 44 + 28*b**4 - 232*b**3 - n + 428*b**2 - 164*b = 0 for b.
2/7, 1, 6
Let q = 134 - 116. Suppose j + 3*s = 7, -2*j + 6*j + 2*s = q. Factor -2*f - 6 - 13*f - 36*f**2 + 31*f**2 - j.
-5*(f + 1)*(f + 2)
Suppose -8922*g = -8907*g. Let d be -4 + (-1 - (-14)/2). Suppose -1/10*q**d + g - 7/10*q = 0. Calculate q.
-7, 0
Let a(j) be the second derivative of 126*j - 19/60*j**4 + 1/100*j**5 + 0 + 10*j**2 + 8/3*j**3. Factor a(u).
(u - 10)**2*(u + 1)/5
Let x(q) be the first derivative of 0*q + 11*q**2 - 24 - 1/60*q**6 - 1/3*q**4 + 11/90*q**5 + 4/9*q**3. Let l(b) be the second derivative of x(b). Factor l(j).
-2*(j - 2)*(j - 1)*(3*j - 2)/3
Let m(j) = 23*j - 115. Let x be m(5). Factor 4*v**4 + x*v**4 - 32*v**3 - 324*v + 216 - 23*v**3 + 11*v**3 + 180*v**2.
4*(v - 3)**3*(v - 2)
Let m(u) be the first derivative of u**6/12 + 3*u**5/10 - 3*u**4/8 - 11*u**3/6 - 3*u**2/2 + 1147. Let m(x) = 0. Calculate x.
-3, -1, 0, 2
Let v be ((-1785)/462 + 4)*22. Let z(u) be the second derivative of -36*u**2 + 2*u**v + 0 - 1/24*u**4 + 33*u. Suppose z(o) = 0. What is o?
12
Suppose g = 5*y - 20, -y + 2*g + 5 = 1. Suppose -y*m = 3*m - 14. Factor 16*j**4 - 4*j + 16*j**2 + 8*j + 24*j**3 + 6*j**5 - m*j**5.
4*j*(j + 1)**4
Let x(s) be the third derivative of s**8/336 - 3*s**7/35 - s**6/60 + 3*s**5/5 + s**4/24 - 3*s**3 - 771*s**2 + 2*s. Find y such that x(y) = 0.
-1, 1, 18
Solve 3191160*t**3 - 5*t**4 - 3191420*t**3 + 425*t**2 + 135*t**2 - 1084 - 1076 + 1040*t = 0.
-54, -2, 2
Let z be (3 - (0 + 5))*3/(-2). Factor -2*w**2 + 759*w - z*w**2 - 784*w.
-5*w*(w + 5)
Factor 0 + 2/5*k**3 - 46*k**2 + 0*k.
2*k**2*(k - 115)/5
Let v be 24/(-372) - (-568)/1116. Let w = 531 - 4771/9. Factor -4/3*d**2 + 0 - v*d**3 - w*d.
-4*d*(d + 1)*(d + 2)/9
Let s(o) be the second derivative of 4/15*o**6 + 5/2*o**4 + 9*o + 0 - 7/3*o**3 + o**2 - 13/10*o**5. Suppose s(g) = 0. What is g?
1/4, 1
Suppose 0 = -4418*c + 4384*c + 102. Factor -1/4*j**4 + 1/4*j**2 + 0 + 1/2*j**c - 1/2*j.
-j*(j - 2)*(j - 1)*(j + 1)/4
Let f = -169 + 172. Find n, given that -421*n**2 + 2*n**f + 209*n**2 + 212*n**2 - 8*n = 0.
-2, 0, 2
Suppose 163*r + 79*r + 85 + 14*r**2 - 16 - 1 = 0. What is r?
-17, -2/7
Let t(o) = 10*o**4 + 20*o**3 + 2*o**2. Let b(i) = -11*i**4 - 21*i**3 - 3*i**2 + i. Let j be (-16)/10*2*(-25)/(-20). Let m(l) = j*b(l) - 3*t(l). Factor m(v).
2*v*(v + 1)**2*(7*v - 2)
Factor 0 + 12*a**2 + 21/2*a**3 + 0*a - 3/2*a**4.
-3*a**2*(a - 8)*(a + 1)/2
Let d(u) be the third derivative of u**5/12 + 4865*u**4/12 + 4733645*u**3/6 - 10*u**2 + 28*u + 2. Factor d(s).
5*(s + 973)**2
Let p = 4885/92232 + 1/1647. Let o(v) be the third derivative of p*v**4 + 7*v**2 + 0*v + 0 - 1/140*v**5 + 2/7*v**3. Determine k so that o(k) = 0.
-1, 4
Let -6*n**4 + 0 + 9/2*n**3 + 33/2*n + 27*n**2 = 0. Calculate n.
-1, 0, 11/4
Let q(u) = -u**3. Let t(z) be the first derivative of z**6/6 + 7*z**5/5 - 21*z**4/2 + 62*z**3/3 - 43*z**2/2 + 11*z - 54. Let s(b) = -4*q(b) + t(b). Factor s(j).
(j - 1)**4*(j + 11)
Let n(o) be the third derivative of -o**5/270 - 23*o**4/36 + 532*o**3/27 + 2*o**2 + 1990. Let n(u) = 0. Calculate u.
-76, 7
Let v(k) be the third derivative of k**8/112 + 4*k**7/5 + 47*k**6/5 - 24*k**5 - 558*k**4 + 3456*k**3 - 1047*k**2 - 4. Find z such that v(z) = 0.
-48, -6, 2
Factor 72*i + 0*i**3 + 595 + 36*i**2 - 595 + 4*i**3.
4*i*(i + 3)*(i + 6)
Suppose 3*w = -4*x + 17, 26 = 2*w + 20. Factor -34*j**x - 44*j + 24*j + 30*j**2 - 24.
-4*(j + 2)*(j + 3)
Let v be 0 - ((1 - 1) + -19). Let s(i) = 3*i - 9. Let p be s(5). Factor 4*c**2 + 20 - p*c - v*c**2 + 6*c + 5*c**3.
5*(c - 2)**2*(c + 1)
Suppose 0 = -2*b + 8*b - 102. Suppose 7 - b = -2*r. Factor r - 25*v**2 + 85*v - 30 - 5.
-5*(v - 3)*(5*v - 2)
Let y(w) = -18*w - 633. Let g be y(-35). Let f be -5 + g/132*-228. Factor 0*o - 4/11*o**3 + 0*o**2 + 2/11*o**5 + f*o**4 + 0.
2*o**3*(o - 1)*(o + 2)/11
Let n(f) be the first derivative of -f**5/40 - 7*f**4/12 - 11*f**3/12 + 13*f**2/2 + 213*f + 167. Let h(x) be the first derivative of n(x). Factor h(c).
-(c - 1)*(c + 2)*(c + 13)/2
Let q(n) be the second derivative of 1/6*n**2 + 5*n - 1/4*n**3 - 4 + 7/72*n**4. Solve q(p) = 0 for p.
2/7, 1
Suppose 5*t + 22016 = 37*t. Let w = 704 - t. Factor 3 + 9*s**3 + s**4 + 23/2*s - 1/2*s**5 + w*s**2.
-(s - 6)*(s + 1)**4/2
Let s(c) be the third derivative of -c**5/60 - 11*c**4/12 - 46*c**2 - c. Factor s(v).
-v*(v + 22)
Let u(n) be the first derivative of -n**8/420 - n**7/105 + n**5/15 + n**4/6 + 2*n**3 - 3. Let p(m) be the third derivative of u(m). Suppose p(q) = 0. What is q?
-1, 1
Suppose 37*t = 20*t + 85. Let -11*y - 15*y + 2*y - 12*y**4 + 28*y**2 - 8*y**t + 12*y**3 + 4*y**5 = 0. What is y?
-3, -2, 0, 1
Suppose 24 = 561*d - 557*d. Let n be 7/((-105)/(-22)) + (-4)/d. Factor 1/5*l**2 - 4/5*l + n.
(l - 2)**2/5
Factor -27*o**3 - 18*o**2 - 34*o**4 - 12*o**4 + 66*o**4 - 23*o**4 + 48*o.
-3*o*(o - 1)*(o + 2)*(o + 8)
Let b(o) be the first derivative of -o**6/120 - o**5/20 - o**4/12 + 4*o**2 + 3*o + 92. Let r(k) be the second derivative of b(k). Solve r(h) = 0 for h.
-2, -1, 0
Let p = 7474/275 - 634/25. Determine z, given that -50/11*z + 0 - p*z**2 - 2/11*z**3 = 0.
-5, 0
Let v = -2341/5 + 473. Let m(