 1)**2*(h + 1)*(h + 35)
Suppose 23*r = 51*r + 140. Let a be -3 - (-2 + 19/r) - 2. Find i, given that -2/5*i**2 + 0 + 0*i - a*i**3 = 0.
-1/2, 0
Suppose 0 = -3*k - 11*k + 42. Let m be 14/35 + 8/5. Factor -5*z**4 - k*z**m - 4 - 15*z**3 + 0*z + 15*z - 2*z**2 + 14.
-5*(z - 1)*(z + 1)**2*(z + 2)
Let p be ((-117)/(10881/11780))/(55/57 + -1). Factor -152*z + 8/5 + p*z**2.
2*(95*z - 2)**2/5
Let s(f) = 4*f**2 + 2963*f - 17917. Let t be s(6). Factor -11658/7*h**2 - 18375*h**t - 21570*h**3 - 3/7 - 38325*h**4 - 321/7*h.
-3*(h + 1)**2*(35*h + 1)**3/7
Let p(v) be the second derivative of -31*v**4/12 + 11*v**3/3 + 9*v**2/2 + 45*v. Let w(k) = k**2 - 2*k - 1. Let j(h) = -2*p(h) - 18*w(h). Factor j(z).
4*z*(11*z - 2)
Let p = 263 - 262. Let l be -4 - (-2 - p - (-34)/(-16)). Suppose l*z - 15/8*z**2 + 27/8 + 3/8*z**3 = 0. What is z?
-1, 3
Determine y, given that -26848/5*y**2 + 12288*y - 15344/5*y**3 - 488/5*y**4 + 23040 - 4/5*y**5 = 0.
-60, -2, 2
Let u(x) be the first derivative of -x**6/900 - 2*x**5/75 + 3*x**4/20 + 25*x**3/3 + x**2 + 102. Let o(h) be the third derivative of u(h). Solve o(f) = 0.
-9, 1
Let y(x) be the third derivative of -2 + 15/2*x**3 - 1/20*x**5 + 0*x - 1/4*x**4 - 17*x**2. Solve y(c) = 0.
-5, 3
Let t(r) be the third derivative of 9/2*r**4 + 21*r + 3/10*r**5 + 36*r**3 - 2*r**2 + 0 + 1/120*r**6. Solve t(b) = 0.
-6
Let q(j) be the third derivative of j**6/30 - 28*j**5/5 + 392*j**4 - 43904*j**3/3 + 37*j**2 - 2. Factor q(z).
4*(z - 28)**3
Suppose 4*y - 5*o = 26, 5*o + 95 = 5*y + 65. Let z(c) be the first derivative of 0*c + 1/9*c**y + 0*c**2 + 2/27*c**3 + 2/45*c**5 + 7. Factor z(s).
2*s**2*(s + 1)**2/9
Let 256 + 352/3*n - 2/3*n**3 + 32/3*n**2 = 0. What is n?
-4, 24
Let c(x) = 10*x**2 - x + 1. Let p be c(1). Let f be 854/p + 2/(-5). Let -9*n**3 - 8 + 4*n - f*n**4 + 92*n**2 + n**4 + 5*n**3 = 0. What is n?
-1, -1/3, 2/7, 1
Let y(d) be the first derivative of -d**6/9 + 32*d**5/45 + d**4/2 - 148*d**3/27 + 4*d**2/3 + 80*d/9 - 789. Suppose y(r) = 0. What is r?
-2, -2/3, 1, 2, 5
Factor -6050/21 - 2/21*g**2 + 220/21*g.
-2*(g - 55)**2/21
Let v(b) be the second derivative of -b**7/840 + 13*b**6/240 + 3*b**5/4 - 37*b**4/12 - b**3/3 - 96*b. Let p(q) be the third derivative of v(q). Factor p(m).
-3*(m - 15)*(m + 2)
Let p(t) = -t**2 + t. Let v(f) = -f**2 - 2*f - 1. Let q = 44 + -44. Let d be v(q). Let g(l) = -l**3 + 2*l**2 - 8*l - 1. Let n(w) = d*g(w) - 5*p(w). Factor n(s).
(s + 1)**3
Let x(g) be the third derivative of g**6/60 + 19*g**5/30 + 9*g**4 + 60*g**3 - 25*g**2 + 2*g + 11. Factor x(f).
2*(f + 3)*(f + 6)*(f + 10)
Suppose -97 = 11*m - 317. Suppose 3*b - 25 = 2*c - 2*b, -4*c - 4*b = -m. Find h, given that 2/3*h**4 + 0 + c*h + 2/3*h**3 - 4/3*h**2 = 0.
-2, 0, 1
Let o be (-13328)/490 + (-33)/(-15) - -121. Find d such that -3/2*d**2 - 24*d - o = 0.
-8
Factor 0*f**3 + 3/5*f**4 + 0*f + 0 + 0*f**2.
3*f**4/5
Suppose 37*t - 35 = 38*t - 3*u, 13 - 52 = -3*u. Factor 2/17*a**2 - 2/17*a**t + 2/17*a**3 + 0*a + 0 - 2/17*a**5.
-2*a**2*(a - 1)*(a + 1)**2/17
Suppose -19 = -f - 0*i + 5*i, 5*f - 4*i = 32. Let -2*o + 1 - o**f + 2*o**3 - 6*o**4 + o**4 + 5*o**4 = 0. What is o?
-1, 1
Let g(j) be the third derivative of -j**5/270 - 797*j**4/27 - 2540836*j**3/27 - 27*j**2 - j + 55. Factor g(l).
-2*(l + 1594)**2/9
Let i(q) = 3*q + 12*q**2 + 0*q**2 - 11*q**2 - 4*q. Let a(u) = -12*u**2 - 96*u - 676. Let y(b) = -a(b) - 8*i(b). Let y(f) = 0. What is f?
-13
Let l(t) be the second derivative of -9/16*t**2 + 0 - 66*t + 3/32*t**4 + 1/16*t**3 - 3/160*t**5. Factor l(a).
-3*(a - 3)*(a - 1)*(a + 1)/8
Suppose -12*i = -9*i - 438. Suppose 235*t**4 - 101*t**5 + 20*t + 9*t + i*t**5 + t + 365*t**3 + 205*t**2 = 0. What is t?
-3, -1, -2/9, 0
Factor 498*n**2 - 274776 - 89024*n - 2*n**3 - 121*n**2 + 241*n**2 + 232*n**2.
-2*(n - 214)**2*(n + 3)
Let n = -313178 - -939545/3. Let n*p - 4/3 + 4/3*p**3 + 19/3*p**2 = 0. Calculate p.
-4, -1, 1/4
Determine p so that -226/19*p - 2/19*p**2 + 12 = 0.
-114, 1
Let g be (-1)/(7 + (-220)/30). Let y(v) be the first derivative of -8 + 4*v + 0*v**2 - 4/3*v**g. Factor y(f).
-4*(f - 1)*(f + 1)
Let p = -333 + 335. Let g(q) be the first derivative of 1/12*q**3 + 4*q - q**p - 5. Determine i, given that g(i) = 0.
4
Let r(u) be the third derivative of u + 1/4*u**4 + 0 + 8/15*u**3 + 1/25*u**5 - 1/300*u**6 - 11*u**2. Determine t, given that r(t) = 0.
-1, 8
Let w(g) be the second derivative of g**6/2 + 19*g**5/4 - 145*g**4/12 - 1075*g**3/6 + 375*g**2 - 2*g + 2972. Factor w(s).
5*(s - 3)*(s + 5)**2*(3*s - 2)
Factor 116/9*v**2 + 0 + 400/9*v + 4/9*v**3.
4*v*(v + 4)*(v + 25)/9
Let v(x) be the second derivative of 0*x**3 - 17*x - 1/2*x**4 - 1/30*x**6 + 0 - 10*x**2 - 4/15*x**5. Let q(n) be the first derivative of v(n). Factor q(p).
-4*p*(p + 1)*(p + 3)
Let v be 1/3*(118 - 118). Let f(n) be the third derivative of 0 + 0*n**4 + 1/60*n**6 + 0*n**3 + 0*n**5 + v*n - 8*n**2. Suppose f(c) = 0. What is c?
0
Let n(q) be the third derivative of q**5/30 - 1717*q**4/6 + 2948089*q**3/3 - 37*q**2 - 1. Factor n(g).
2*(g - 1717)**2
Let p(s) be the first derivative of -s**6/180 + 7*s**5/5 - 147*s**4 + 98*s**3/3 + s + 43. Let d(f) be the third derivative of p(f). Factor d(z).
-2*(z - 42)**2
Let u(n) be the second derivative of 3*n**5/20 + 5*n**4/4 - 33*n**3/2 + 81*n**2/2 + 776*n - 1. Determine q so that u(q) = 0.
-9, 1, 3
Let b(d) be the first derivative of -2*d**6/3 - 18*d**5/5 - 2*d**4 + 46*d**3/3 + 12*d**2 - 40*d - 10378. Find q, given that b(q) = 0.
-5/2, -2, 1
Let x be ((-308)/35 - -8)/((-94)/235). Find a such that 9/7 + 1/7*a**x - 10/7*a = 0.
1, 9
Let d = -1/9597 - -22111493/47985. Factor -d*c**2 - 3174/5 - 7452/5*c - 192/5*c**3.
-6*(2*c + 1)*(4*c + 23)**2/5
Let w(l) be the third derivative of 2*l**7/735 - 5*l**6/42 - 72*l**5/35 - 136*l**4/21 + 1024*l**3/21 + 2*l**2 - 307*l. Let w(n) = 0. Calculate n.
-4, 1, 32
Let 144/19*m**2 + 28/19*m**4 - 2/19*m**5 + 0 - 6*m**3 + 0*m = 0. What is m?
0, 3, 8
Suppose 93 = 20*p - 147. Suppose p = 21*u - 15*u. Factor 1/5*y**3 + 3*y + 5 - 9/5*y**u.
(y - 5)**2*(y + 1)/5
Let c(s) be the third derivative of -s**7/10 - 123*s**6/40 + 691*s**5/70 + 249*s**4/14 + 76*s**3/7 + 2*s**2 + 368*s. Find z, given that c(z) = 0.
-19, -2/7, 2
Let t = -25 - -26. Let y(k) = 5*k**2 - 25. Let d be (1 - -1)/(2 + (-66)/30). Let h(w) = -2*w. Let o(z) = d*h(z) + t*y(z). Factor o(i).
5*(i - 1)*(i + 5)
Let b(r) be the third derivative of -28*r**6/405 + 8*r**5/135 - r**4/108 - 11*r**3 - 21*r**2. Let v(p) be the first derivative of b(p). Factor v(u).
-2*(4*u - 1)*(28*u - 1)/9
Let r = 5210 + -5210. Let a(d) be the third derivative of r + 2/15*d**5 + 1/60*d**6 + 0*d**3 + 0*d - 21*d**2 + 1/3*d**4. Solve a(m) = 0 for m.
-2, 0
Let w = -14129 + 14131. Let f(x) be the second derivative of 5/84*x**7 + 0 + 1/4*x**w - 11/60*x**6 - 23*x - 7/12*x**3 + 1/20*x**5 + 5/12*x**4. Factor f(s).
(s - 1)**3*(s + 1)*(5*s - 1)/2
Factor 2/9*h**3 + 124/9*h + 10/3*h**2 + 32/3.
2*(h + 1)*(h + 6)*(h + 8)/9
What is l in 174*l**2 - 83/3*l**3 + 432*l + 1/3*l**5 - 8/3*l**4 + 0 = 0?
-8, -2, 0, 9
Let n(b) be the second derivative of -b**6/135 - 31*b**5/15 - 299*b**4/2 + 1984*b**3 - 9216*b**2 - 601*b. Let n(y) = 0. Calculate y.
-96, 3
Let x(r) = -6*r + 12. Let z be x(4). Let m be (-279)/(-15) + z/120. Factor -10*a**3 - 2 + m*a**2 + 4*a.
-(a - 2)*(4*a - 1)*(5*a + 2)/2
Let k be 7 + (-18 - -26) + -13. Factor 3/5*h**4 + 4/5*h**k - 8/5*h**3 + 0 + 0*h.
h**2*(h - 2)*(3*h - 2)/5
Let n(r) = r**2 - r. Let b(c) = c**2 - 2*c + 1. Let y(l) = -l**2 - 2*l - 3. Let k be y(-3). Let w(h) = k*n(h) + 5*b(h). Factor w(s).
-(s - 1)*(s + 5)
Let w = -6622 - -6626. Let b(h) be the first derivative of h**3 + 0*h + 3/2*h**2 - 3/5*h**5 - 3/4*h**w + 15. Factor b(u).
-3*u*(u - 1)*(u + 1)**2
Let g(m) be the third derivative of m**8/30240 + m**7/540 + 17*m**5/12 + 168*m**2 - 2. Let n(s) be the third derivative of g(s). Factor n(o).
2*o*(o + 14)/3
Let t(m) = -29*m**3 + 172*m**2 + 8410*m - 27090. Let j(w) = -2*w**3 - w**2 - 3*w - 1. Let n(l) = 60*j(l) - 4*t(l). Factor n(d).
-4*(d - 3)*(d + 95)**2
Let o = 1223918/214193 - -6/30599. Factor o*b**3 + 100/7*b**2 + 4/7*b**4 + 0 + 0*b.
4*b**2*(b + 5)**2/7
Let r(x) be the third derivative of -13*x**6/120 + 49*x**5/30 - 43*x**4/24 - 7*x**3 - 3*x**2 - 136*x - 2. Factor r(j).
-(j - 7)*(j - 1)*(13*j + 6)
Let l = -28/145 + 659/1