561/40 - 1164. Let o(g) be the third derivative of z*g**6 - 6*g**2 - 1/35*g**7 + 0*g**4 + 0*g**3 + 0 + 1/20*g**5 + 0*g. Let o(c) = 0. Calculate c.
-1/2, 0, 1
Let u(j) = -j**3 - j**2 - j + 2. Let q(g) = 14*g**3 + 90*g**2 + 102*g - 28. Let h(p) = q(p) - 2*u(p). Factor h(a).
4*(a + 2)*(a + 4)*(4*a - 1)
Let f be (-70)/(-230)*(-12)/2. Let s = f + 302/115. Find m such that 0*m**3 + 0 + 2/5*m**5 - 2/5*m - 4/5*m**4 + s*m**2 = 0.
-1, 0, 1
Let x(m) be the second derivative of m**6/660 - m**4/132 + 7*m**2 - 9*m. Let u(a) be the first derivative of x(a). What is r in u(r) = 0?
-1, 0, 1
Let n be (-4)/6 - (-126)/27. Suppose -2*j = -4 - n. Let -8*s**4 + 9*s**2 + 6*s - 36*s**3 + 6*s**4 + 8*s**4 + 15*s**j = 0. Calculate s.
-2/7, 0, 1
Factor -192/5 - 678/5*z - 21/5*z**2.
-3*(z + 32)*(7*z + 2)/5
Suppose 2*u + 0*u - 32 = -2*q, 0 = -5*u + 4*q + 62. Let d be 4/6 - 7/u. Solve -d*v**2 - 1/6 - 1/3*v = 0.
-1
Let g = -212 + 225. Suppose -g = -4*c + 5*m, 0*c = 4*c - 2*m - 10. Suppose 0*t - 14/5*t**3 + 0 + 4/5*t**c - 8/5*t**4 = 0. What is t?
-2, 0, 1/4
Let o(z) be the third derivative of 0 + 0*z - 1/4*z**3 - 7*z**2 - 1/24*z**4 + 1/45*z**5 + 1/120*z**6 + 1/1260*z**7. Solve o(a) = 0.
-3, -1, 1
Let h(f) be the first derivative of 5*f**4/12 - 5*f**3/2 + 5*f**2 + 32*f + 5. Let r(k) be the first derivative of h(k). Factor r(g).
5*(g - 2)*(g - 1)
Let y(m) = 35*m**3 - 705*m**2 - 560*m. Let q(t) = 3*t**3 - 64*t**2 - 51*t. Let h(f) = 45*q(f) - 4*y(f). Factor h(j).
-5*j*(j + 1)*(j + 11)
Let o be 7 - (-5 + 4) - 6. Let -2/13*m**o - 4/13 - 6/13*m = 0. What is m?
-2, -1
Factor 14/11*g**2 - 6/11*g + 0.
2*g*(7*g - 3)/11
Let m = -7/400 + -34193/400. Let u = m + 87. Suppose -3/2*k**3 + 3/2*k**4 + u*k**5 - 3/2*k**2 + 0 + 0*k = 0. What is k?
-1, 0, 1
Let o(f) be the third derivative of f**8/224 - 11*f**7/70 + 19*f**6/8 - 20*f**5 + 1625*f**4/16 - 625*f**3/2 - 2*f**2 - 19. Solve o(d) = 0 for d.
2, 5
Let o be 34/14 + -2 - (-93611)/27391. Factor -20/13*w - 2/13*w**2 - o.
-2*(w + 5)**2/13
Let h(x) be the third derivative of x**5/60 - 5*x**4/8 + 4*x**2 + 9. Suppose h(u) = 0. Calculate u.
0, 15
Let p(q) = -q + 1. Let d(j) = -13*j - 84. Let v(i) = -d(i) - 6*p(i). Let f be v(-4). Factor 5/2*g + 1/2*g**3 + 1 + f*g**2.
(g + 1)**2*(g + 2)/2
Suppose -22*c = 10*c - 11*c. Let 0*x + 1/4*x**4 - 1/2*x**2 + c*x**3 + 1/4 = 0. What is x?
-1, 1
Suppose -15*d + 46 = 11*d - 58. Factor 2/5*r**d + 0*r**3 + 0*r + 0 - 8/5*r**2.
2*r**2*(r - 2)*(r + 2)/5
Suppose -z = 2*v - 2*z - 99, 0 = 4*z - 20. Let p be ((-208)/10)/(30/(-75)). Factor -v*t**4 + 8*t**3 + p*t**4 - 2*t**5.
-2*t**3*(t - 2)*(t + 2)
Let g(p) = 12*p**2 - 5*p + 18. Let r(b) = 11*b**2 - 4*b + 15. Let c(v) = 5*g(v) - 6*r(v). Find s, given that c(s) = 0.
-1/6, 0
Find r such that 120/19 + 124/19*r**2 + 2/19*r**3 + 242/19*r = 0.
-60, -1
Let -8556 - 450*u - 8319 - 435*u**2 + 432*u**2 = 0. What is u?
-75
Let x(j) be the second derivative of 0*j**3 + 0*j**2 + 3*j + 1/10*j**5 + 1/15*j**4 + 1/105*j**7 + 4/75*j**6 + 0. Let x(v) = 0. What is v?
-2, -1, 0
Let l(u) = 8*u**2. Let w be l(1). Suppose 2*y + 16 = 2*g + 5*y, -5*y - w = -g. Suppose 4 - g + 8*s**3 - 4 - 28*s**2 + 28*s = 0. Calculate s.
1/2, 1, 2
Let u = -98 - -101. Let k(l) be the first derivative of -1/20*l**5 + 0*l**4 + 1/12*l**u + 0*l + 0*l**2 + 4. Let k(m) = 0. Calculate m.
-1, 0, 1
Let x(c) be the second derivative of -1/10*c**6 + 1/2*c**4 + 0*c**5 - 3/2*c**2 - 9*c + 0 + 0*c**3. Factor x(z).
-3*(z - 1)**2*(z + 1)**2
Let q(f) = 5*f + 97. Let v be q(-11). Let l be (-1)/4 + (v/8)/7. Factor 0*z + l*z**2 - 1/2.
(z - 1)*(z + 1)/2
Let j(s) = 2*s**2 + 20*s + 21. Let n be j(-13). Let r = -1285/13 + n. Determine q, given that 0 - r*q**2 + 4/13*q = 0.
0, 2
Let a be (-2)/(-6) + (608/(-6))/(-8). Factor -12*w + 0*w + 3*w**2 + a*w**2 - 4*w**3.
-4*w*(w - 3)*(w - 1)
Let r(s) be the third derivative of s**7/14 - 3*s**6/40 - 3*s**5/4 - s**4/8 + 3*s**3 + 184*s**2. Factor r(j).
3*(j - 2)*(j + 1)**2*(5*j - 3)
Let l(j) = j**2 + 20*j + 4. Let y be l(-20). Let x(g) be the second derivative of -8*g + 3/100*g**5 + 1/10*g**y + 0 + 0*g**2 + 0*g**3. Factor x(v).
3*v**2*(v + 2)/5
Let f(x) be the first derivative of -x**5/20 - x**4/3 - 5*x**3/6 - x**2 + 14*x + 15. Let i(v) be the first derivative of f(v). Factor i(b).
-(b + 1)**2*(b + 2)
Let g(x) be the first derivative of x**5/15 - x**4/2 - 17*x**2/2 - 25. Let z(p) be the second derivative of g(p). Factor z(r).
4*r*(r - 3)
Let l be (-8808)/(-105) - ((-3)/(-5) + 0). Let i = -83 + l. Solve 0*n**2 + 2/7*n**5 - 4/7*n**3 + i*n**4 + 0*n + 0 = 0.
-2, 0, 1
Factor 51*s + 1/2*s**2 + 101/2.
(s + 1)*(s + 101)/2
Let q(w) = -w**3 + w**2 - 2*w - 1. Let h(p) = -4*p**4 + 40*p**3 - 44*p**2 - 40*p + 12. Let y(d) = h(d) + 12*q(d). What is x in y(x) = 0?
-1, 0, 4
Let v(q) be the third derivative of q**7/1680 + q**6/120 + q**5/20 - q**4/24 + 7*q**2. Let l(r) be the second derivative of v(r). What is w in l(w) = 0?
-2
Factor -2/3*z**3 - 6174 - 882*z - 42*z**2.
-2*(z + 21)**3/3
Let m be (-232)/(-366) + (-76)/(-2318). Factor -2/3*f**3 - 2 + m*f + 2*f**2.
-2*(f - 3)*(f - 1)*(f + 1)/3
Factor 463*h**2 - 463*h**2 + 3*h**3 - 3*h.
3*h*(h - 1)*(h + 1)
Let x be (-6)/(-57) - (-23328)/760. Let w = 31 - x. Factor 2/5*q**2 - 3/5*q**3 + w*q + 0.
-q*(q - 1)*(3*q + 1)/5
Let l(x) be the first derivative of 2*x**5/15 - 11*x**4/6 - 8*x**3/3 + 13. Find h such that l(h) = 0.
-1, 0, 12
Suppose -5*o - 25 = -163*y + 162*y, -2*y - 2*o = 10. Suppose 0 + 2/3*v**2 + y*v = 0. Calculate v.
0
Find j, given that 58/19*j**2 - 16/19*j + 2/19*j**4 - 20/19*j**3 - 96/19 = 0.
-1, 3, 4
Let x(i) be the third derivative of -i**5/12 + 35*i**4/12 - 65*i**3/6 - 3*i**2 - 7. Suppose x(l) = 0. Calculate l.
1, 13
Let y(q) = -q + 7. Let b be y(5). Factor s**2 + 2 - 2*s - 2*s**2 + b*s**2 + 5*s.
(s + 1)*(s + 2)
Let v = -278 - -278. Let f(o) be the second derivative of 0*o**2 + v - o - 1/10*o**5 + 1/6*o**4 + 2/3*o**3. Find p such that f(p) = 0.
-1, 0, 2
Let n(f) be the third derivative of -f**5/105 + 32*f**3/21 + f**2 - 6*f. Factor n(s).
-4*(s - 4)*(s + 4)/7
Determine w, given that -199*w**3 + 4*w**2 - 628*w - 198 + 2*w**5 + 202*w**4 - 8*w**2 + 230*w + 595*w**3 + 0*w**2 = 0.
-99, -1, 1
Let t(q) = -q**2 - 22*q - 24. Let l be t(-20). Suppose 0 = -l*x + 22 + 10. Factor 0 - 2/5*m + 2/5*m**3 + 0*m**x.
2*m*(m - 1)*(m + 1)/5
Suppose -5*a - 2*h = -22, -5*h + 10 + 15 = 5*a. Factor -2*m**4 + 2*m**a - 3402*m + 2*m**4 - 56*m**3 + 658*m + 4802 + 588*m**2.
2*(m - 7)**4
Let w = -52 - -54. Solve 10 + 31*j**w - 30*j - 5 + 14*j**2 = 0.
1/3
Suppose 4*q - 60 = -16. Let d = q - 8. Factor d + 5*i**3 - 6*i + i**3 - 8*i**4 + 5*i**4.
-3*(i - 1)**3*(i + 1)
Solve 58/11*m**2 + 2/11*m**3 - 122/11*m + 62/11 = 0.
-31, 1
Factor 175/4*x + 15/4*x**3 - 70*x**2 + 45/2.
5*(x - 18)*(x - 1)*(3*x + 1)/4
Let y(s) = -17*s**3 + 133*s**2 - 887*s - 13. Let j(p) = -8*p**3 + 66*p**2 - 444*p - 6. Let v(b) = -13*j(b) + 6*y(b). Factor v(o).
2*o*(o - 15)**2
Let o = -72 + 16. Let v = 57 + o. What is g in -3/2*g**2 + 1/2*g**3 - 1/2*g + 1/2*g**4 + v = 0?
-2, -1, 1
Let z(n) = n + 1. Let x = -28 + 27. Let w(s) = 4*s**3 + 8*s**2 + 14*s + 10. Let i(q) = x*w(q) + 10*z(q). Factor i(v).
-4*v*(v + 1)**2
Factor -69312*s - 4*s**3 - 1212360 - 752183 + 208639 - 912*s**2.
-4*(s + 76)**3
Factor 6132*g**3 - 3 - 86*g**2 + 2 + 1 + 84*g - 6130*g**3.
2*g*(g - 42)*(g - 1)
Let a(b) be the first derivative of -b**5/5 + 3*b**4/2 - b**3/3 - 12*b**2 - 16*b - 6. Factor a(t).
-(t - 4)**2*(t + 1)**2
Determine y so that 60*y + 15 + 27 - 5*y**3 + 31 + 7 = 0.
-2, 4
Let y(d) = -7*d**3 - 19*d**2 - 27*d + 32. Let f(h) = 2*h**3 + 5*h**2 + 7*h - 8. Let c(r) = 22*f(r) + 6*y(r). Factor c(g).
2*(g - 2)**2*(g + 2)
Let h be -7 - -5*4/((-20)/3). Let k be (-4)/(-12) - h*1/18. Factor 8/9*o**3 - 4/3*o**2 - 2/9 - 2/9*o**4 + k*o.
-2*(o - 1)**4/9
Let k(a) be the first derivative of -1/10*a**4 + 20 - 14/15*a**3 - 2*a - 11/5*a**2. Factor k(b).
-2*(b + 1)**2*(b + 5)/5
Suppose 3*u - 13 = -2*y - 0*u, -7 = y - 3*u. Suppose 0 = -3*s + y*s + 3. Factor -2*b**s + 4 + 6*b - 207*b**2 + 207*b**2.
-2*(b - 2)*(b + 1)**2
Let f = 3513 - 3511. Find i, given that f - 1/2*i**2 + 0*i = 0.
-2, 2
Suppose 4*y - 29 = -q, -3*y - 4*q = -0*q - 38. Suppose 4*g - 3*v = 6, v + y - 4 = 3*g. Factor g + 2/3*d**2 + 2*d.
2*d*(d + 3)/3
Suppose 19*d + 5 = 62. Factor -f**2 - 2*f - 1/6*f**d - 4/3.
-(f