2 + 0.
-3*k*(k + 1)*(k + 2)/2
Suppose 5*u = -3*a + 17, -35 = -3*a + 4*u - 0. Factor -5*c**3 + 2*c**4 - 13*c**4 - a*c**4.
-5*c**3*(4*c + 1)
Find v such that -15/2*v + 4*v**3 - 101/4*v**2 + 0 + 7/4*v**4 = 0.
-5, -2/7, 0, 3
Let b(w) be the third derivative of -w**7/630 + w**6/180 - 2*w**2 - 90*w. Factor b(l).
-l**3*(l - 2)/3
Let r(y) = y**2 - 4*y**2 - 15 - 7 + 18 - 8*y. Let d(h) = -5*h**2 - 15*h - 7. Let g(l) = -4*d(l) + 7*r(l). Suppose g(n) = 0. What is n?
0, 4
Let q(j) be the second derivative of 25*j**4/36 - 35*j**3/18 - 10*j**2 - j - 173. Determine m, given that q(m) = 0.
-1, 12/5
Let i(d) be the third derivative of -1/3*d**5 + 5/8*d**4 + 0*d**3 + 0 + 0*d - 27*d**2 + 1/24*d**6. Determine j so that i(j) = 0.
0, 1, 3
Let d(u) be the second derivative of 13*u + 0*u**2 + 1/10*u**4 + 1/75*u**6 - 3/50*u**5 - 1/15*u**3 + 0. Find l such that d(l) = 0.
0, 1
Let x be 148/(-3330) - (-119)/315. Find z, given that -x*z**3 - 8/9 + 4/3*z + 2/9*z**2 = 0.
-2, 2/3, 2
Let r(l) = 2*l**2 - 9*l - 20. Let a be r(7). Factor -12*z**4 - 33*z - 35*z**4 + a*z**5 + 30*z**2 + 9 + 8*z**4 + 18*z**3.
3*(z - 1)**3*(z + 1)*(5*z - 3)
Suppose -2*t = -3*t + 8. Let d = 10 - t. Determine c so that -3 + 4*c**d - 5*c - 6*c**4 + 2*c**5 - c + 4*c**3 + 0*c + 5 = 0.
-1, 1
Let n(r) be the second derivative of r**7/1470 - r**5/70 + r**4/21 - r**3/2 - 25*r. Let j(p) be the second derivative of n(p). Solve j(b) = 0.
-2, 1
Suppose 10*j**2 - 30*j**5 - 43*j**3 - 29*j**3 + 85*j**4 + 17*j**3 = 0. What is j?
0, 1/3, 1/2, 2
Factor 1/6*c**2 + 27/2 - 3*c.
(c - 9)**2/6
Suppose -4*x + 28 = 5*u, -19*x + 16*x + 14 = 2*u. Factor 2/7*g**3 + 0*g - 2/7*g**4 + 0 + 0*g**x.
-2*g**3*(g - 1)/7
Let b(v) be the second derivative of 0*v**2 - 3/100*v**5 - 3/10*v**4 - 9/10*v**3 + 0 - 9*v. Factor b(i).
-3*i*(i + 3)**2/5
Find z, given that 0*z + 0*z**4 + 9/2*z**3 + 3*z**2 - 3/2*z**5 + 0 = 0.
-1, 0, 2
Factor -10/7*x - 12/7 + 4/7*x**2 + 2/7*x**3.
2*(x - 2)*(x + 1)*(x + 3)/7
Let q = 221 + -218. Let o(s) be the first derivative of 0*s - 3/2*s**2 - 12/5*s**5 - 27/4*s**4 + 4 - 6*s**q. Let o(j) = 0. Calculate j.
-1, -1/4, 0
Let z(n) be the third derivative of n**8/294 + 2*n**7/245 - 31*n**6/210 + 9*n**5/35 + 29*n**4/42 - 20*n**3/7 + 151*n**2. Let z(h) = 0. What is h?
-5, -1, 1, 3/2, 2
Let t be (-187)/6*(-9 + 11). Let q = -62 - t. Factor 2/3*l + 1 - q*l**2.
-(l - 3)*(l + 1)/3
Solve -5*f**2 + 3*f**2 - 20 + f**2 + 139*f - 279*f + 152*f = 0 for f.
2, 10
Let r(h) be the first derivative of -3*h**5/40 + 9*h**4/8 - 23*h**3/4 + 45*h**2/4 - 75*h/8 - 404. What is l in r(l) = 0?
1, 5
Let t(g) = 2*g**2 + 2*g + 1. Let n be t(-2). Suppose 14 = -z + 3*z - 2*c, -3*z - c + n = 0. Factor 0*r**2 - 3*r**3 + 2*r**2 - 7 + 8*r - z*r**2 + 3.
-(r - 1)*(r + 2)*(3*r - 2)
Let u = -82 - -87. Find r, given that u*r**2 + 7 + 3*r - 3*r**2 - 5 - r**2 = 0.
-2, -1
Factor 1/3*d**2 - 4*d - 85/3.
(d - 17)*(d + 5)/3
Let s be 16/(-12) - 10/(-3). Factor 0*t**2 - t - 8 - s*t**2 - 7*t.
-2*(t + 2)**2
Let k(n) be the second derivative of -20*n + 27*n**2 + 1/63*n**7 - 11/45*n**6 + 0 - 3*n**4 - 3*n**3 + 7/5*n**5. Determine w so that k(w) = 0.
-1, 3
Let b(a) = -2*a + 94. Let n be b(45). Let v(o) be the third derivative of -1/300*o**5 + 0*o - 6*o**2 + 0 - 1/40*o**n + 0*o**3. Solve v(u) = 0.
-3, 0
Let d(k) be the third derivative of k**6/180 - k**4/12 + 2*k**3/9 - 69*k**2. Factor d(z).
2*(z - 1)**2*(z + 2)/3
Let j(n) = 5*n**3 - 114*n**2 + 225*n - 116. Let i(w) = 30*w**3 - 685*w**2 + 1350*w - 695. Let p(h) = -6*i(h) + 35*j(h). Factor p(y).
-5*(y - 22)*(y - 1)**2
Let d(j) be the third derivative of j**7/2940 - j**6/630 + j**5/420 - j**3/3 + 6*j**2. Let b(s) be the first derivative of d(s). Factor b(g).
2*g*(g - 1)**2/7
Let u(t) be the second derivative of t**4/8 + 7*t**3/2 + 18*t**2 + 115*t. Factor u(a).
3*(a + 2)*(a + 12)/2
Let u(t) be the first derivative of -2*t**5/25 + 2*t**3/15 + 85. Solve u(m) = 0 for m.
-1, 0, 1
Let c(z) = 9*z**3 - 223*z**2 + 3360*z - 3141. Let r(i) = -22*i**3 + 558*i**2 - 8400*i + 7852. Let d(k) = -12*c(k) - 5*r(k). Let d(n) = 0. Calculate n.
1, 28
Let d(c) be the first derivative of -c**6/36 + 3*c**4/8 - 2*c**3/9 - c**2 - 113. Let d(p) = 0. Calculate p.
-3, -1, 0, 2
Let t be (-1239)/(-35) - (-3)/5. Let x be 3 - 3/(-1)*604/t. Find n, given that 160/3*n**2 + 64/3 + 80/3*n**3 + x*n + 20/3*n**4 + 2/3*n**5 = 0.
-2
Let c be 15 - (16/2)/2. Let n = c + -4. Factor -7 + n*y**2 + 7 + y - 8*y**2.
-y*(y - 1)
Let z(d) = -d**2 - 14*d + 1. Let u be z(-14). Factor -5*l**2 + 30*l - 6 - u - 33.
-5*(l - 4)*(l - 2)
Solve -13 - 56*n**2 + 5*n + 40*n + 18*n**3 - 7 + 13*n = 0.
1, 10/9
Let v(i) be the third derivative of 0*i**3 + 0 + 0*i + 1/80*i**5 + 1/96*i**6 - 1/1344*i**8 - 9*i**2 + 0*i**4 + 1/840*i**7. Factor v(w).
-w**2*(w - 3)*(w + 1)**2/4
Factor -d**3 - 17/2*d**2 - 15/2 - 19*d.
-(d + 3)*(d + 5)*(2*d + 1)/2
Let c(x) be the third derivative of x**7/280 + x**6/480 - x**5/80 - x**4/96 + 25*x**2. Find j, given that c(j) = 0.
-1, -1/3, 0, 1
Let x(y) be the first derivative of -y**5/25 + 17*y**4/10 - 31*y**3/5 - 2*y**2/5 + 124*y/5 - 174. What is r in x(r) = 0?
-1, 2, 31
Let t be 13 - (1 + 3) - 4. Factor -2*y**2 + 0*y**2 - y**t + 8*y + y**3 + 2*y**4 - 8*y.
-y**2*(y - 2)*(y - 1)*(y + 1)
Let v = 405 + -405. Let c(b) be the second derivative of -1/3*b**4 - 2*b**3 + 0 + v*b**2 + 8*b. Factor c(t).
-4*t*(t + 3)
Let p(t) = t**2 - t - 1. Let m = 8 - 11. Let b be m/2*(-16)/(-6). Let a(y) = -7*y**2 + y + 4. Let r(k) = b*p(k) - a(k). What is o in r(o) = 0?
-1, 0
Let f(r) be the second derivative of -r**5/140 - r**4/84 + 5*r**3/42 - 3*r**2/14 + 49*r. Factor f(h).
-(h - 1)**2*(h + 3)/7
What is f in f**2 + 5*f**2 + 256*f - 3*f**2 - 235*f = 0?
-7, 0
Let u(g) be the first derivative of -g**7/4200 - g**6/1800 + 7*g**3/3 - 5. Let w(m) be the third derivative of u(m). Determine v so that w(v) = 0.
-1, 0
Let k(r) be the third derivative of r**9/3360 - r**8/2240 + r**7/5040 + 13*r**4/8 + 34*r**2. Let v(t) be the second derivative of k(t). Factor v(q).
q**2*(3*q - 1)**2/2
Factor -6*t**3 + 2*t**3 - 17 + 47 + 28*t**2 - 10 - 44*t.
-4*(t - 5)*(t - 1)**2
Let f be (2/168)/(-81 + 84). Let p(x) be the third derivative of 0 + 1/45*x**6 + 0*x**3 - 1/18*x**4 - x**2 + 0*x**5 + 0*x - f*x**8 + 0*x**7. Solve p(m) = 0.
-1, 0, 1
Let j be (13/(-52))/(2 + -4). Let d(p) be the third derivative of p**3 + 0*p - 1/20*p**5 + 2*p**2 + 0 - j*p**4. Factor d(v).
-3*(v - 1)*(v + 2)
Let b be 148/(-252)*3 + 3. Let g = -83/84 + b. Factor -1/4 + 1/4*k**2 + 1/4*k**3 - g*k.
(k - 1)*(k + 1)**2/4
Let x(n) = 15*n**3 - 2 + 6*n**3 - 20*n**3 + 3*n. Let c be x(1). Factor -5*i + c*i + i - 2*i**2 + 0*i**2.
-2*i*(i + 1)
Suppose -11*m + 6*m + 20 = 0. Let s(t) = t**2 - 2*t - 6. Let x(q) = -q**2 + q + 6. Let c(n) = m*s(n) + 3*x(n). Find r such that c(r) = 0.
-1, 6
Let p = -5 + 13. Suppose -a - 4*w - 1 = -p, -5*a - 5*w + 95 = 0. What is n in 2 - 17*n + 1 + 3*n**2 + a*n = 0?
-1
Suppose -13*k = 33*k - 184. Let a(n) be the second derivative of 0*n**3 + 0*n**5 + 0*n**k + 1/15*n**6 + 0*n**2 + 0 + 5*n. Factor a(w).
2*w**4
Let o be ((-6)/(-9))/((-1)/(-9)). Find t, given that -2*t + 14*t + 2*t**2 + 2 + 2*t**2 + o = 0.
-2, -1
Let j(o) be the second derivative of 15*o + 1/4*o**4 + 0*o**2 - 3/2*o**3 + 0. Find g, given that j(g) = 0.
0, 3
Let m(b) = -b**3 - 18*b**2 - 16*b + 22. Let z be m(-17). Factor -5*v**5 + 10*v**4 - v**4 - z*v**2 + 5*v**3 - 4*v**4.
-5*v**2*(v - 1)**2*(v + 1)
Suppose 2*f = 6*f + 8. Let r be (-1 - f/(1 - -1))/(-1). Let 2/7*j + r + 2/7*j**3 + 4/7*j**2 = 0. What is j?
-1, 0
Suppose -303*a**5 + 298*a**5 + 55*a**3 - 36*a**4 + 16*a**4 - 30*a**2 = 0. What is a?
-6, 0, 1
Factor 1/5*r**2 + 2/5 - 3/5*r.
(r - 2)*(r - 1)/5
Factor -56/9 + 10/9*z**2 + 136/9*z.
2*(z + 14)*(5*z - 2)/9
Factor -12 - 8*k - 1/3*k**3 + 11/3*k**2.
-(k - 6)**2*(k + 1)/3
Let c = 334 - 78. Factor -27*x - 4*x**3 - 129*x - 44*x + 8*x - c - 48*x**2.
-4*(x + 4)**3
Let c(s) be the second derivative of 2/27*s**4 - 2/9*s**2 + 0*s**3 + 10*s + 0 + 0*s**5 - 2/135*s**6. Factor c(f).
-4*(f - 1)**2*(f + 1)**2/9
Suppose -8*l - 197 = -213. Let s(u) be the third derivative of -1/140*u**5 - 5*u**l + 0*u + 0 + 0*u**3 + 1/56*u**4. Determine d so that s(d) = 0.
0, 1
Let r(l) be the third derivative of 0*l - 14*l**2 + 0 - 1/180*l**5 + 2/9*l**3 + 0*l**4. Factor r(x).
-(x - 2)*(x + 2)/3
Factor t - 