Let k(q) = -5*q**3 + q**2 - 2*q + 1. Let l be k(1). Let c be 256/40 + -5 - (-1)/l. Let -c*y**2 - 8/5*y**3 + 2/5*y + 0 = 0. Calculate y.
-1, 0, 1/4
Let f(v) = 4*v**3 + 14*v**2 - 2*v - 14. Let d(h) = h**2 + h - 1. Let q(g) = -2*d(g) + f(g). Solve q(a) = 0 for a.
-3, -1, 1
Factor 32/3*p + 1/3*p**2 + 256/3.
(p + 16)**2/3
Determine j so that 200/17*j - 8/17 - 1250/17*j**2 = 0.
2/25
Let l(a) be the first derivative of -a**7/1400 - a**6/150 - a**5/50 - 11*a**3/3 - 10. Let b(w) be the third derivative of l(w). Factor b(t).
-3*t*(t + 2)**2/5
Let x(q) = q**2 + 54*q - 638. Let s be x(-64). Let j(k) be the second derivative of -16*k**s - 8/3*k**3 - 1/6*k**4 + 10*k + 0. Factor j(n).
-2*(n + 4)**2
Let u(x) be the second derivative of x**5/20 - 3*x**4/8 + 9*x**2 - 18*x. Let d(s) be the first derivative of u(s). Factor d(c).
3*c*(c - 3)
Let g be ((-2)/3)/(((-8)/(-762))/(-4)). Factor -15 + 10 - 15 - 20*f**4 - 100*f**3 + 154*f - 165*f**2 - g*f.
-5*(f + 2)**2*(2*f + 1)**2
Let s(n) be the second derivative of 0 - 5/12*n**4 - 1/6*n**3 - 36*n + 0*n**2. Factor s(v).
-v*(5*v + 1)
Let -25/4*o - 5/4*o**3 + 0 - 15/2*o**2 = 0. What is o?
-5, -1, 0
Let x(r) be the second derivative of -r**4/12 - 5*r**3/3 + 11*r**2/2 + 14*r. Factor x(v).
-(v - 1)*(v + 11)
Suppose 193*s - 194*s + 5*v - 23 = 0, -12 = -s - 2*v. Find t such that 0*t - 4/11 + 1/11*t**s = 0.
-2, 2
Factor -8/5*p**2 + 1/5*p**4 + 0*p - 2/5*p**3 + 0.
p**2*(p - 4)*(p + 2)/5
Let m(t) be the second derivative of -11*t**4/3 - 20*t**3/3 + 2*t**2 - 11*t + 10. Find v, given that m(v) = 0.
-1, 1/11
Let k(d) be the third derivative of d**5/15 - 31*d**4/6 - 35*d**2 + d. Determine y, given that k(y) = 0.
0, 31
Suppose 27*v + 23*v - 75 = 25. Let 0 + 0*i - 1/4*i**v - 1/8*i**3 = 0. What is i?
-2, 0
Suppose 0 = -5*h + 12 + 3. Suppose 0 = 4*j - o - 3, j + 3*o - 14 = h. Suppose -39*w**2 + w**j + 28*w**5 + 21*w**4 + 13*w**4 - 2*w - 26*w**3 + 4 = 0. What is w?
-1, -1/2, 2/7, 1
Let v(n) = -4*n + 34. Let k be v(0). Let u be k/14 - (-7)/((-147)/9). Factor 4/3*p + 6*p**u + 14/3*p**3 + 0.
2*p*(p + 1)*(7*p + 2)/3
Suppose -41*j = -49*j + 24. Factor -14/5*p**2 + 14/5*p - 4/5 + 4/5*p**j.
2*(p - 2)*(p - 1)*(2*p - 1)/5
Factor -17*u + 31 - 388*u + 2*u**3 + 61 + 108 - 7*u**3 + 210*u**2.
-5*(u - 40)*(u - 1)**2
Factor -578/5 - 102*a + 66/5*a**2 - 2/5*a**3.
-2*(a - 17)**2*(a + 1)/5
Suppose i - 4*o + 20 - 40 = 0, -5*i - 5 = o. What is n in -5/4*n**4 + n - 13/4*n**3 + i - n**2 = 0?
-2, -1, 0, 2/5
Let t(d) = 3*d + 28. Let j be t(-8). Let y(z) be the first derivative of 1/15*z**5 - 1/4*z**j - 1/9*z**3 - 5 + 0*z**2 + 1/6*z**6 + 0*z. Solve y(r) = 0.
-1, -1/3, 0, 1
Let w(p) be the first derivative of -p**3/15 - 6*p**2/5 + 13*p/5 + 24. Factor w(y).
-(y - 1)*(y + 13)/5
Let a(w) be the second derivative of 5*w**4/12 + 35*w**3/6 + 30*w**2 - 87*w. Factor a(p).
5*(p + 3)*(p + 4)
Let u(g) = -g**2 + 1. Let j be u(-3). Let i(r) = r**2 + 8*r + 8. Let q be i(j). Suppose -q*c - 2*c**4 + 6*c**4 - 2*c**4 + 6*c**3 = 0. What is c?
-2, 0, 1
Let v(q) be the second derivative of -1/36*q**4 + 1/60*q**5 - 1/126*q**7 + 0*q**2 + 1/90*q**6 + 7*q + 0 + 0*q**3. Factor v(a).
-a**2*(a - 1)**2*(a + 1)/3
Factor 4*r**2 + 196 - 136*r + 267*r - 75*r.
4*(r + 7)**2
Let h(y) be the second derivative of y**6/10 + 3*y**5/4 - y**4/4 - 17*y**3/2 + 18*y**2 + 2*y - 286. Factor h(o).
3*(o - 1)**2*(o + 3)*(o + 4)
Let m be 5*(-7)/(-175) + 11/(-105). Let p(w) be the first derivative of 2/7*w**4 - 1/7*w + m*w**3 + 1/21*w**6 + 1/5*w**5 - 4 - 1/7*w**2. Factor p(c).
(c + 1)**4*(2*c - 1)/7
Let f(g) be the first derivative of -g**3/12 - 3*g**2/4 - 5*g/4 - 40. Suppose f(b) = 0. Calculate b.
-5, -1
Let a be (-10)/(-8) - (-665)/(-4). Let u = a + 496/3. Factor 0 + u*t + 1/3*t**3 + 2/3*t**2.
t*(t + 1)**2/3
Let o(h) = 5*h**2 - 7*h - 2. Let n(f) = -10*f**2 + 4*f - 1. Let i(s) = -21*s**2 + 7*s - 3. Let g(b) = -4*i(b) + 9*n(b). Let l(p) = 4*g(p) + 5*o(p). Factor l(u).
(u - 2)*(u - 1)
Find n such that 0 + 2/11*n**2 + 276/11*n = 0.
-138, 0
Let m(t) be the first derivative of 2*t**5/75 + t**4/10 + 2*t**3/15 + t**2/15 + 328. Factor m(s).
2*s*(s + 1)**3/15
Let w = 43 - 43. Let j be (w - 0)/(6 - 5). Suppose j*u + 2 - 1/2*u**2 = 0. Calculate u.
-2, 2
Let l(y) be the second derivative of y**4/4 + 51*y**3 + 7803*y**2/2 + y + 31. Factor l(b).
3*(b + 51)**2
Let u(i) be the first derivative of -2*i**3/21 - 2*i**2/7 + 16*i/7 + 75. Suppose u(a) = 0. What is a?
-4, 2
Let c(t) be the second derivative of 0 + 1/8*t**2 + 1/120*t**6 + 1/8*t**4 - 1/20*t**5 - 29*t - 1/6*t**3. What is z in c(z) = 0?
1
Suppose -5*f - 4*y + 13 - 5 = 0, 5*y - 10 = -5*f. Let v(a) be the second derivative of f - 1/15*a**2 - 1/90*a**4 + 2/45*a**3 + 2*a. Factor v(s).
-2*(s - 1)**2/15
Let w = 129 + -94. Suppose 4*u - 3*v = -2*v + 3, -5*u - 5*v = -w. Determine q so that 4/7*q**u + 0 + 2/7*q**3 + 0*q = 0.
-2, 0
Let t(v) = -7*v**2 - 3*v + 8. Let d(g) = -45*g**2 - 19*g + 49. Let u(n) = 6*d(n) - 39*t(n). Suppose u(h) = 0. What is h?
-3, 2
Suppose 4*p - 4 = -4*s, -51 + 48 = 3*p - 3*s. Factor p - 1/6*c - 1/3*c**2 - 1/6*c**3.
-c*(c + 1)**2/6
Suppose 0 = 4*f + 9*f - 65. Let l(b) be the second derivative of 0*b**2 + 0 - 1/10*b**3 + 1/20*b**4 - 3*b - 1/50*b**6 + 3/100*b**f. Factor l(n).
-3*n*(n - 1)**2*(n + 1)/5
Let w(u) = 32*u - 1. Let s be w(-2). Let g be (-2)/12 + s/(-30). Solve 9*f**g - 4 + 24*f - 3 - 27*f**3 - 5 = 0.
-1, 2/3
Let n(f) be the second derivative of f**7/5040 + f**6/960 - f**5/240 + 5*f**4/6 - 4*f. Let u(p) be the third derivative of n(p). Suppose u(o) = 0. What is o?
-2, 1/2
Factor 80/9*b + 2/9*b**2 + 26/3.
2*(b + 1)*(b + 39)/9
Let i = -71 + 116. Let p = i - 43. Factor 27/4*n**4 + 111/4*n**p + 45/2*n**3 + 3 + 15*n.
3*(n + 1)**2*(3*n + 2)**2/4
Let r(v) be the third derivative of 1/192*v**4 - 1/96*v**5 + 1/336*v**7 + 14*v**2 + 0*v + 0 + 0*v**3 - 1/672*v**8 + 1/320*v**6. Find b, given that r(b) = 0.
-1, 0, 1/4, 1
Let i = 911 + -908. Factor 0*g + 1/4*g**2 + 1/4*g**i + 0.
g**2*(g + 1)/4
Let l(f) = -f**2 - 26*f + 41. Let h be l(-27). Let z be ((-75)/(-10))/(-5)*h/(-27). Factor 8/9*t - 4/9 - 5/9*t**3 + z*t**2.
-(t - 2)*(t + 1)*(5*t - 2)/9
Factor -130 - 37*o - 121*o + 5*o**2 + 34*o - o.
5*(o - 26)*(o + 1)
Let u(s) = 103*s**2 + 3*s - 115*s**2 + 9*s. Let m(w) = -4*w**2 + 4*w. Let x(h) = 8*m(h) - 3*u(h). Let x(y) = 0. What is y?
0, 1
Let p(v) be the third derivative of -v**5/90 - 5*v**4/9 - 91*v**3/9 - 8*v**2 + 3*v. Solve p(t) = 0 for t.
-13, -7
Suppose -4*d + 14 = 2. Factor -5*x + 3 + 5*x**4 - x**2 - x**2 - 6*x**4 - x**5 + 6*x**d.
-(x - 1)**3*(x + 1)*(x + 3)
Factor 727*i**3 + i**5 + 623*i**2 + 186 - 862 + 3*i**4 - 728*i + 55*i**4 - 5*i**4.
(i - 1)*(i + 1)**2*(i + 26)**2
Let x(p) be the first derivative of 2/9*p**2 + 2/9*p**3 + 1/18*p**4 + 0*p - 7. Solve x(y) = 0.
-2, -1, 0
Let f(u) = 5*u**3 - 400*u**2 + 4775*u + 30. Let q(s) = -3*s**2 - s + 1. Let i(x) = -f(x) + 30*q(x). Let i(d) = 0. What is d?
0, 31
Let a(w) be the third derivative of w**6/24 - w**5/6 - 5*w**4/6 + 20*w**3/3 - w**2 + 1. Find t, given that a(t) = 0.
-2, 2
Let g be (-10)/12*((-289)/(-17) - 20). Factor 17/2*s**2 + g*s**3 + 3*s + 0.
s*(s + 3)*(5*s + 2)/2
Let o(q) = -16*q - 25. Let r be o(-1). Let x be (-16)/(-42)*r + 4. Solve 2/7*d**5 - x*d**3 + 0*d**2 + 0 + 2/7*d**4 + 0*d = 0 for d.
-2, 0, 1
Suppose 5*v - 4*v - 328 = -4*l, 82 = l - 5*v. Factor -122 + 553*h - 12 + 3*h**3 - 373*h - 42*h**2 - l.
3*(h - 6)**2*(h - 2)
Suppose -5*x - m + 13 = -2*m, -2*x = -3*m - 13. Factor 0 + 2/11*i**x + 2/11*i.
2*i*(i + 1)/11
Let g(t) be the second derivative of 0*t**2 - 1/6*t**6 + 1/4*t**5 + 0 - 2*t + 5/12*t**4 - 5/6*t**3. Factor g(i).
-5*i*(i - 1)**2*(i + 1)
Let b(n) be the first derivative of -n**6/18 - 4*n**5/15 - n**4/2 - 4*n**3/9 - n**2/6 + 88. Find d such that b(d) = 0.
-1, 0
Let i be (16/(-40))/(12/(-15)). Factor 0 + 0*b - b**2 - 1/2*b**3 + i*b**4.
b**2*(b - 2)*(b + 1)/2
Suppose 0 = -p - 4, f + 1 = -0*f - 2*p. Let 2*t**3 - 60*t**5 + f*t**4 + 2735*t**2 - 2735*t**2 = 0. What is t?
-2/15, 0, 1/4
Let r(t) be the first derivative of t**3/6 - 4*t**2 + 32*t - 206. Find b such that r(b) = 0.
8
Let d be (-102)/(-14) + 6/(-21). Let w = -4 + d. Factor -w - 4 + 8*y + 6 + 27*y**4 - 18*y**2.
(y + 1)*(3*y - 1)**3
Suppose 0 + 3/2*z - 3/4*z**3 + 3/4*z**2 = 0. What is z?
-1, 0, 2
Let d(j) be the third derivative of -2*j**5 + 0