-38)/1729*(-14)/(-20). Let 1/5*q**3 - 1/5 + z*q - 3/5*q**2 = 0. Calculate q.
1
Let u(n) be the second derivative of 2*n**7/7 + 28*n**6/15 + 22*n**5/5 + 4*n**4 - 2*n**3/3 - 4*n**2 - n - 34. Factor u(i).
4*(i + 1)**3*(i + 2)*(3*i - 1)
Let c(m) be the first derivative of -m**3/6 + 12*m**2 - 288*m - 1. Factor c(w).
-(w - 24)**2/2
Let a(m) = 9*m**3 - 644*m**2 + 2398*m - 2383. Let k(r) = 6*r**3 - 430*r**2 + 1598*r - 1589. Let c(s) = 5*a(s) - 7*k(s). Factor c(q).
3*(q - 66)*(q - 2)**2
Suppose 0*h + 2*u = -2*h - 2, 3*h + 5*u = -11. Suppose -44*n**2 - 35*n**h - 26*n - 14*n**4 - 2*n**5 + 23*n**3 - 6 - 24*n**3 = 0. What is n?
-3, -1
Let i = -11494 + 68969/6. Find y, given that 1/3*y**2 + 1/3 + i*y = 0.
-2, -1/2
Let c(h) be the first derivative of 1 + 3/2*h**2 + 1/3*h**3 + 0*h + 1/6*h**4 + 1/30*h**5. Let j(m) be the second derivative of c(m). Factor j(s).
2*(s + 1)**2
Suppose h = 5*k + 58, -94 = -3*h - 7*k + 2*k. Let o be (-6)/10*(-7 + -3 + 5). Factor 6*n + 1 + 3*n**2 + 35*n**o - 1 - h*n**3.
-3*n*(n - 2)*(n + 1)
Suppose 4*a - 4 = 7*a - 5*u, 10 = 4*a + u. Suppose 2*p - 6 = -a. Solve p*t - 2/3 + 4/3*t**4 - 2/3*t**2 - 2*t**3 = 0 for t.
-1, 1/2, 1
Let t = -62416/35 - -8968/5. Let 592/7*k**4 - 1196/7*k**3 + 1136/7*k**2 - 492/7*k + t - 16*k**5 = 0. Calculate k.
2/7, 1, 3/2
Let v be -44*(5 + (-27)/6) - 2. Let i be 0*((-3)/v)/(3/12). What is y in i + 0*y**2 + 1/3*y**3 - 1/3*y**4 + 0*y = 0?
0, 1
Let d(z) be the first derivative of 5*z**3/9 + 25*z**2/2 - 170*z/3 + 45. Factor d(o).
5*(o - 2)*(o + 17)/3
Let h(j) be the second derivative of -j**5/30 - 29*j**4/18 + j**3/9 + 29*j**2/3 + 726*j. Factor h(y).
-2*(y - 1)*(y + 1)*(y + 29)/3
Let t = 8153 - 16305/2. Suppose 24*g**3 - t + 21/4*g - 37/2*g**2 - 8*g**4 = 0. Calculate g.
1/4, 1/2, 2
Let t be -1*9 + (-2460)/(-180) - 6/2. Factor 4/3*d**3 + t*d**2 + 1/3*d + 0.
d*(d + 1)*(4*d + 1)/3
Let a be (-19)/(-2)*(-3 + 0)*-1. Let y = 173/6 - a. Suppose 0*f + 0*f**2 + 0 - 2/3*f**3 + y*f**4 + 1/3*f**5 = 0. What is f?
-2, 0, 1
Let q(g) be the first derivative of -g**5/25 + 17*g**4/5 - 77*g**3 - 34*g**2/5 + 1156*g/5 - 510. Factor q(k).
-(k - 34)**2*(k - 1)*(k + 1)/5
Let y = 11702 + -11699. Factor -40*p + 16/3 - 250/3*p**y + 100*p**2.
-2*(5*p - 2)**3/3
Let s = 83 - 81. Let u(y) = -y**2 - 3*y. Let v(c) = c. Let x(w) = s*u(w) + 6*v(w). Determine o so that x(o) = 0.
0
Let n(s) be the third derivative of 2*s**6/15 + 47*s**5/15 + 22*s**4 - 24*s**3 - 265*s**2. Factor n(g).
4*(g + 6)**2*(4*g - 1)
Let v(t) be the third derivative of 0*t**4 + 0*t**6 + 1/525*t**7 + 0 - 4*t**2 + 0*t - 1/210*t**8 + 0*t**3 + 0*t**5. Factor v(y).
-2*y**4*(4*y - 1)/5
Let p be 14/2 - (-7 - (-1455)/105). Let m be 0 - (1 + 1 - 4). Factor 4/7 + p*a**m - 4/7*a.
(a - 2)**2/7
Solve 0 - 15/2*y + 3/2*y**3 - 6*y**2 = 0.
-1, 0, 5
Factor 2*t + 1/6*t**4 + 0 - 4/3*t**2 - 5/6*t**3.
t*(t - 6)*(t - 1)*(t + 2)/6
Let o be (((-170)/(-20))/(-17))/(1/2*-4). Let x be 6/8 + (-1)/2. Factor 0 + x*g**3 + 0*g + o*g**4 - 1/4*g**5 - 1/4*g**2.
-g**2*(g - 1)**2*(g + 1)/4
Let c(n) be the third derivative of -n**9/30240 + n**8/3360 + n**5/20 + 13*n**2. Let q(r) be the third derivative of c(r). Suppose q(z) = 0. Calculate z.
0, 3
Let f(n) be the third derivative of -n**8/3360 + n**7/630 - n**6/360 + n**4/3 - 7*n**2. Let w(k) be the second derivative of f(k). What is a in w(a) = 0?
0, 1
Let o(m) be the second derivative of 0*m**4 + 3/40*m**6 + 0*m**2 + 0*m**3 - 3/40*m**5 + 0 + 17*m. Factor o(a).
3*a**3*(3*a - 2)/4
Let w = 731 + -727. Factor -2/3*x**w + 2/3*x**2 - 4/3*x + 0 + 4/3*x**3.
-2*x*(x - 2)*(x - 1)*(x + 1)/3
Let r(l) be the first derivative of l**6/5 - 27*l**5/25 - 51*l**4/20 + 58*l**3/5 + 144*l**2/5 + 96*l/5 - 539. Let r(x) = 0. Calculate x.
-2, -1, -1/2, 4
Let t(g) = 1 - 57*g + 7*g**2 - 5*g**2 + 56*g - 2*g**3. Let k be t(1). Suppose 0*s - 3/2*s**4 - 3/2*s**2 + k - 3*s**3 = 0. Calculate s.
-1, 0
Suppose 5*j + 389 = -3*d, -j - 2*j - 5*d = 243. Let l = -73 - j. Factor -2/11*g + 0 - 4/11*g**2 - 2/11*g**l.
-2*g*(g + 1)**2/11
Let b be 30/(-6) + 3 + 4 + -2. Determine m so that b - 6/11*m - 16/11*m**2 = 0.
-3/8, 0
Let f(u) be the first derivative of -u**5/270 + u**4/36 - 2*u**3/27 + 5*u**2/2 - 11. Let d(h) be the second derivative of f(h). Determine y so that d(y) = 0.
1, 2
Let d(t) be the second derivative of 27*t + 4*t**2 - 1/5*t**5 + 0 - 29/9*t**3 - 149/36*t**4. What is n in d(n) = 0?
-12, -2/3, 1/4
Let n be 2/3*((-44)/33)/(-2). Let 0*f + 0 + n*f**2 = 0. What is f?
0
Find r, given that -453962/19 - 2/19*r**3 - 366/19*r**2 - 22326/19*r = 0.
-61
Find t, given that 1/2*t + 1/12*t**2 - 4/3 = 0.
-8, 2
Suppose 2872*x + 44 = 2894*x. Factor 64/3 + 16/3*b + 1/3*b**x.
(b + 8)**2/3
Let r be ((-2)/(-16))/((-1)/(-2)). Let o(q) be the second derivative of -5*q + 0*q**2 + 0*q**3 + r*q**4 + 3/20*q**5 + 0. Factor o(l).
3*l**2*(l + 1)
Let z(n) be the first derivative of n**6/900 + n**5/50 + n**4/12 - 7*n**3/3 - 40. Let p(s) be the third derivative of z(s). Factor p(m).
2*(m + 1)*(m + 5)/5
Let s(m) be the second derivative of 1/3*m**4 + m + 8*m**2 + 10/3*m**3 + 0. Let s(t) = 0. Calculate t.
-4, -1
Let j = 8/7 - -32/21. Let y be (1/(-9))/((-8)/24). Find t, given that j*t + y*t**3 + 4/3 + 5/3*t**2 = 0.
-2, -1
Let s be 252/(-15)*110/(-33). Let x = 64 - s. Factor 4/3*w**3 + x*w**2 + 16*w + 32/3.
4*(w + 2)**3/3
Suppose 21 = -0*b + 3*b. Factor -b*g**2 + 12*g + 2 + 6 - 4*g**3 + 7*g**2.
-4*(g - 2)*(g + 1)**2
Let s(f) be the third derivative of f**11/332640 - f**9/20160 + f**8/10080 + 11*f**5/30 + 27*f**2. Let i(r) be the third derivative of s(r). Factor i(g).
g**2*(g - 1)**2*(g + 2)
Factor 0*t**3 + 1/5*t**4 - 9/5*t**2 + 12/5 - 4/5*t.
(t - 3)*(t - 1)*(t + 2)**2/5
Let d(o) = -3*o**3 + 73*o**2 - 24*o + 2. Let v be d(24). Factor 3/7*w**v + 0 + 9/7*w.
3*w*(w + 3)/7
Let z(g) be the first derivative of -3*g**4/28 + 10*g**3/21 + 4*g**2/7 + 116. Solve z(c) = 0.
-2/3, 0, 4
Let m(c) be the second derivative of 0 + 1/21*c**7 - 5*c + 1/15*c**6 - 1/6*c**4 - 1/10*c**5 + 0*c**2 + 0*c**3. Suppose m(z) = 0. What is z?
-1, 0, 1
Let l(c) be the second derivative of 18*c + 1/63*c**3 + 0*c**2 + 0 + 1/126*c**4. Find b such that l(b) = 0.
-1, 0
Factor d**3 + 1046*d**4 - 4*d**2 + 91*d**3 - 92*d - 1042*d**4 + 0*d**2.
4*d*(d - 1)*(d + 1)*(d + 23)
Let g(x) be the third derivative of 0*x - 1/180*x**4 - 3*x**2 + 1/900*x**6 + 2/45*x**3 - 1/225*x**5 + 0. Find n such that g(n) = 0.
-1, 1, 2
Let w(b) = -b**3 - 72*b**2 - 202*b + 348. Let s be w(-69). Suppose 1/9*n**s - 1/9*n**2 - 5/9*n - 1/3 = 0. What is n?
-1, 3
Factor -4/21*h**2 - 2/21*h**3 + 0 + 2/7*h.
-2*h*(h - 1)*(h + 3)/21
Suppose 9 = 3*j - 4*k - 4, 4*k + 16 = 4*j. Suppose 0 = -a + n - 6*n + j, 2*n = 0. Factor 0*y**2 + 6*y**2 - a*y**3 + 7*y + 5*y + 8 - 32.
-3*(y - 2)**2*(y + 2)
Let t(k) = -k**2 + 11*k + 25. Let c be t(15). Let d = -139/4 - c. Factor -1/4*x**2 + 1/4*x**4 - 1/4*x + 0 + d*x**3.
x*(x - 1)*(x + 1)**2/4
Let f(i) be the first derivative of -5*i**6/6 + 6*i**5 - 10*i**4 - 10*i**3 + 45*i**2/2 - 522. Find v such that f(v) = 0.
-1, 0, 1, 3
Let b = 27 - 12. Factor -2*j - b*j**2 + 5*j**2 + 6 + 9*j**2 + j.
-(j - 2)*(j + 3)
Let x = -262/7 + 19933/532. Let w = x + 111/76. Factor -15/2*a**2 + 0 - 6*a**3 - w*a**4 - 3*a.
-3*a*(a + 1)**2*(a + 2)/2
Let j(m) be the third derivative of 49*m**5/90 - 35*m**4/18 + 25*m**3/9 + 90*m**2. Solve j(h) = 0 for h.
5/7
Let x(t) be the first derivative of t**8/1120 - t**6/120 + t**4/16 + 8*t**3/3 + 9. Let l(p) be the third derivative of x(p). What is i in l(i) = 0?
-1, 1
Factor 10702 - 10702 + 3*h**2 + 15*h.
3*h*(h + 5)
Let c(s) be the second derivative of -s**6/40 - s**5/60 + s**4/3 - 2*s**3/3 + 17*s**2/2 - 17*s. Let t(x) be the first derivative of c(x). Solve t(d) = 0 for d.
-2, 2/3, 1
Let k(g) be the third derivative of -1/60*g**6 - 1/30*g**5 + 0*g**4 + 0*g + 0*g**3 + 0 + 5*g**2. Factor k(m).
-2*m**2*(m + 1)
Let f be 0 - 0 - -1*4/(-8). Let m = f - -1. Find j such that -2/3*j + m + 1/6*j**2 = 0.
1, 3
Let r = 27 + -21. Factor 12*u**2 - 3*u**3 + 3*u + 3*u**4 + r*u**2 - 21*u**2 + 0*u**4.
3*u*(u - 1)**2*(u + 1)
Let l = 6185/3 - 2061. Suppose 1/3*f**2 + 1/3*f - l = 0. What is f?
-2, 1
Determine p so that 4*p**4 + p - 18*p**3 - 17*p + 30*p**3 = 0.
-2, 0, 1
Let h(o) = -5*o**2 - 8*o. Let g(l) = -2*l + 3*l - 2*l + 0*l. Let x(t) = -3*g(t) + h(t). Factor x(z).
-5*z*(z + 1)
Fa