 5 + 0*z. Factor f(i).
2*i*(i - 3)**2*(i + 1)/21
Factor -116*t + 978 - 2*t**2 + 200*t - 1323 - t**2.
-3*(t - 23)*(t - 5)
Let f(k) be the second derivative of k**7/280 - k**6/180 - k**5/18 - k**4/9 - 5*k**3/2 + 16*k. Let l(n) be the second derivative of f(n). What is r in l(r) = 0?
-2/3, 2
Suppose -3*o + 0*o = -9. Suppose -51*l = -337 + 235. Factor -4/9*p**l - 2/9*p**o + 0*p + 0.
-2*p**2*(p + 2)/9
Factor -5/3*v**3 + 19/3*v + 2 + 8/3*v**2.
-(v - 3)*(v + 1)*(5*v + 2)/3
Let z(t) be the first derivative of -1/3*t**3 + 5 - 3*t - 2*t**2. Factor z(q).
-(q + 1)*(q + 3)
Let j = -38 - -72. Let -5*u**3 + 9*u**2 - 56*u - j*u**2 + 36*u = 0. Calculate u.
-4, -1, 0
Let t(g) be the first derivative of g**8/840 + g**7/42 + 5*g**6/36 + 19*g**3/3 - 15. Let o(r) be the third derivative of t(r). Determine s so that o(s) = 0.
-5, 0
Let m(z) be the third derivative of z**7/3360 - 3*z**3/2 - 7*z**2. Let f(j) be the first derivative of m(j). Factor f(k).
k**3/4
Let -21*l**2 + 6 + 73*l**2 - 27*l**2 - 26*l**2 + 4 - 3*l = 0. What is l?
-5, 2
Let i(q) = -11*q**3 - 4*q**2 + 19*q + 6. Let r(j) = -j**3 + j**2 + 4*j + 1. Let h(t) = i(t) - 6*r(t). Find w, given that h(w) = 0.
-1, 0
Suppose -22 = -3*h + n, h + 32 = 4*h + 4*n. Let t be ((-30)/h)/(16/(-64)). Factor 6*l**5 - l - t*l**5 + 8*l**5 - 6*l**3 + 4*l**2 + 4*l**4.
-l*(l - 1)**4
Let y(m) be the third derivative of -m**7/11340 - m**6/3240 - m**4/2 - 7*m**2. Let l(f) be the second derivative of y(f). Factor l(s).
-2*s*(s + 1)/9
Let x(p) be the second derivative of p**6/6 - 5*p**5/4 + 35*p**4/12 - 5*p**3/2 + 260*p. Find u, given that x(u) = 0.
0, 1, 3
Suppose 0 = -0*p - p + 3. Let r be (56 - 90594/1617)/(1/(-7)). Suppose 4/11 - r*q - 8/11*q**2 + 6/11*q**p = 0. What is q?
-2/3, 1
Let t(d) be the second derivative of -d**7/63 - 2*d**6/45 + d**5/5 + 4*d**4/9 - 5*d**3/9 - 2*d**2 - d - 13. Solve t(o) = 0.
-3, -1, 1, 2
Let x = -603/35 + 617/35. Suppose -x*c**2 + 6/5*c + 0 = 0. Calculate c.
0, 3
Let t(o) = 843*o**2 - 914*o + 247. Let c(v) = 18545*v**2 - 20110*v + 5435. Let r(l) = -2*c(l) + 45*t(l). Factor r(m).
5*(13*m - 7)**2
Factor 2/3*m**3 + 0*m - 8/15*m**4 - 2/15*m**2 + 0.
-2*m**2*(m - 1)*(4*m - 1)/15
Suppose -3*h = -5*u + 210, -u + h = 10 - 50. Factor 107*s**3 + 256*s + 15*s**4 + 4*s**5 + 178*s**3 - u*s**3 + 37*s**4 + 448*s**2.
4*s*(s + 1)*(s + 4)**3
Let b(m) = m**2 + 3*m. Let t(s) = -2*s**3 - 67*s**2 - 567*s + 648. Let q(l) = -6*b(l) + 2*t(l). Suppose q(i) = 0. Calculate i.
-18, 1
Let p(b) = 14*b**2 + 56*b + 58. Let s(v) = 5*v**2 + 19*v + 20. Let f(j) = 3*p(j) - 8*s(j). Factor f(k).
2*(k + 1)*(k + 7)
Let g(q) = q**3 - 22*q**2 + 3*q - 6. Let r(p) = 3*p**3 - 21*p**2 + 4*p - 8. Let z(l) = -4*g(l) + 3*r(l). Factor z(m).
5*m**2*(m + 5)
Let i(j) be the second derivative of -j**7/147 + j**6/35 + 9*j**5/35 + 2*j**4/21 - 8*j**3/7 - 8*j - 26. Find z such that i(z) = 0.
-2, 0, 1, 6
Let x(a) be the second derivative of -a**5/80 - 13*a**4/48 - 2*a - 20. Factor x(h).
-h**2*(h + 13)/4
Suppose 172*g**3 - 44*g**2 - 7*g**2 - 175*g**3 = 0. Calculate g.
-17, 0
Let r(l) be the first derivative of -l**6/6 - 24*l**5/5 - 53*l**4 - 826*l**3/3 - 1323*l**2/2 - 686*l - 128. Factor r(d).
-(d + 1)*(d + 2)*(d + 7)**3
Factor -73*g + 73*g + 3*g**3 - 5*g**3.
-2*g**3
Let d(h) be the second derivative of -7*h**6/270 + h**5/36 + 4*h**4/27 + 2*h**3/27 + 661*h. Suppose d(j) = 0. What is j?
-1, -2/7, 0, 2
Let m(x) be the third derivative of 0*x**3 + 1 + 1/60*x**6 - 1/168*x**8 + 1/35*x**7 - 31*x**2 - 1/10*x**5 + 0*x + 0*x**4. Determine j, given that m(j) = 0.
-1, 0, 1, 3
Let t(q) = 15*q**2 + q - 3. Let c be 3 - -1*(-3)/(-1). Let h(r) = -8*r**2 + 2. Let u(g) = c*t(g) + 11*h(g). Let u(z) = 0. What is z?
-2, -1
Let p(g) be the second derivative of -10/21*g**3 - 25/7*g**2 - 1/42*g**4 - 6*g + 0. Find y, given that p(y) = 0.
-5
Let s(p) be the first derivative of -1/9*p**3 + 7/3*p**2 - 49/3*p + 14. Factor s(n).
-(n - 7)**2/3
Let f(u) = u**3 - 4*u**2 + 11*u + 13. Let p(j) = -2*j**3 + 12*j**2 - 32*j - 40. Suppose 15*h = 14*h - 8. Let o(s) = h*f(s) - 3*p(s). Factor o(i).
-2*(i - 2)*(i + 2)**2
Let q(b) be the third derivative of -2/105*b**6 - 1/42*b**5 - 4/735*b**7 - 1/84*b**4 + 0*b**3 - 3*b**2 + 0 + 0*b. Suppose q(j) = 0. What is j?
-1, -1/2, 0
Suppose 4*x + 32 = 6*m - 2*m, 5*x + 28 = 4*m. Factor 4*l + 3*l - 3*l**5 - 6 + 3*l + m*l**4 + 5*l - 12*l**3 - 6*l**2.
-3*(l - 2)*(l - 1)**3*(l + 1)
Suppose 5*a + 145 + 265 = 0. Let v = -82 - a. Determine h, given that 4/7*h**3 + 4/7*h**5 - 10/7*h**4 + v*h + 0*h**2 + 0 = 0.
0, 1/2, 2
Let v(j) be the second derivative of j**6/70 - 9*j**5/140 + j**4/14 - 181*j. Factor v(c).
3*c**2*(c - 2)*(c - 1)/7
Let u(i) be the second derivative of 1/240*i**6 - 1/32*i**4 + 18*i - 1/6*i**3 + 0 + 1/80*i**5 - 1/4*i**2. Factor u(w).
(w - 2)*(w + 1)**2*(w + 2)/8
Let y(q) be the second derivative of 0*q**3 + 2*q**2 + 0*q**4 - 1/15*q**5 - 7*q + 0 + 1/30*q**6. Let i(u) be the first derivative of y(u). Factor i(d).
4*d**2*(d - 1)
Let v(j) be the first derivative of -3/2*j**2 + 0*j**4 + 6/5*j**5 + 0*j - 2*j**3 + 1/2*j**6 + 3. What is q in v(q) = 0?
-1, 0, 1
Let l(o) be the second derivative of o**5/5 - 10*o**4/3 + 6*o**3 + o - 1. Solve l(g) = 0.
0, 1, 9
Let c be -25 + (-2 + 0)/((-8)/2). Let g = -24 - c. Factor 1/2*x**2 - g*x + 0.
x*(x - 1)/2
Let b = 13 - -3. Find c such that 5*c**5 - b*c**3 + 60*c**3 - 24*c**3 - 20*c**4 = 0.
0, 2
Let p(z) be the first derivative of 1/24*z**3 + 5/16*z**2 - 1/32*z**4 + 3/8*z - 3. Determine h so that p(h) = 0.
-1, 3
Factor -2/7*p**3 - 2/7 + 2/7*p + 2/7*p**2.
-2*(p - 1)**2*(p + 1)/7
Let k(x) be the second derivative of -x**6/60 + x**4/3 - 4*x**2 - 9*x. Let y(q) be the first derivative of k(q). Factor y(g).
-2*g*(g - 2)*(g + 2)
Let u = 1/1389 + -18366/463. Let d = u + 40. Factor -d - 1/3*p**2 - 2/3*p.
-(p + 1)**2/3
Let c(h) be the second derivative of -1/42*h**4 - 2*h + 0*h**2 + 1/21*h**3 + 23. Solve c(a) = 0 for a.
0, 1
Let z(f) = -4*f**2 + 6*f + 20. Let n(v) = -16*v**2 + 25*v + 78. Let g(s) = -2*n(s) + 9*z(s). Suppose g(h) = 0. Calculate h.
-2, 3
Let j = 10816/7 + -1544. Determine p so that 2/7*p**2 + 0 - j*p = 0.
0, 4
Suppose 48 = 34*c - 156. Let p(t) be the second derivative of -1/6*t**4 + c*t + 0*t**2 - 1/3*t**3 + 0. Find x, given that p(x) = 0.
-1, 0
Suppose -136*u + 131*u + 370 = 0. Let x = u - 71. Suppose 0*o**2 - 1/8*o**x + 3/8*o - 1/4 = 0. Calculate o.
-2, 1
Let c(p) = 19*p + 20. Let j be c(10). Let l = 1077/5 - j. Factor -6/5*r + 0 - 21/5*r**3 + l*r**2.
-3*r*(r - 1)*(7*r - 2)/5
Let 57600 - 546*f - 4*f**2 + 8*f**2 - 414*f = 0. Calculate f.
120
Factor 37*n**3 + 0*n**4 + 5*n**5 + 7*n**4 - 81*n**3 + 3*n**4 + 29*n**3.
5*n**3*(n - 1)*(n + 3)
Let q(o) be the third derivative of o**7/105 - 37*o**6/15 + 2738*o**5/15 + o**2 + 83*o. Factor q(m).
2*m**2*(m - 74)**2
Factor -150*l**3 - 22*l**2 - 84*l + 299*l**3 - 137*l**3 - 49 - l**4 + 0*l**2.
-(l - 7)**2*(l + 1)**2
Suppose -w + 5*p + 13 = 2*p, -2*p - 18 = -3*w. Let z be (3/w)/(3/8). Factor 0 - 2/13*u**3 + 2/13*u**4 - 4/13*u**z + 0*u.
2*u**2*(u - 2)*(u + 1)/13
Let l(k) be the second derivative of k**7/42 + 14*k**6/45 + 11*k**5/10 - 3*k**4 - 13*k**3/6 + 8*k. Let t(z) be the second derivative of l(z). Factor t(i).
4*(i + 3)**2*(5*i - 2)
Find f, given that 18*f**5 + 128*f**2 + 108*f**3 + 72 + 96*f**2 - 504*f + 24*f**4 + 714*f - 16*f**5 = 0.
-4, -3, -1
Factor 1/11*t - 2/11*t**2 + 0 + 1/11*t**3.
t*(t - 1)**2/11
Let z(m) be the first derivative of -2*m**3/15 - 3*m**2 - 28*m/5 - 74. Find a such that z(a) = 0.
-14, -1
Let t(s) = -s**4 + s**3 + s + 1. Let f(n) = -6*n**4 + 57*n**3 + 60*n**2 - 51*n - 54. Let g(d) = -f(d) + 3*t(d). Factor g(y).
3*(y - 19)*(y - 1)*(y + 1)**2
Let r(f) be the first derivative of -2*f**3/45 - 37*f**2/15 - 24*f/5 - 79. Find b, given that r(b) = 0.
-36, -1
Let h(l) be the second derivative of -l**7/840 + l**6/120 - l**5/40 + l**4/24 - 11*l**3/6 - 4*l. Let j(y) be the second derivative of h(y). Factor j(c).
-(c - 1)**3
Let f(h) be the second derivative of -h**7/504 + 7*h**6/72 - 49*h**5/24 + 13*h**4/12 + 8*h. Let t(o) be the third derivative of f(o). Factor t(m).
-5*(m - 7)**2
Let q(m) be the first derivative of -m**3/9 - 19*m**2/2 + 58*m/3 + 811. Factor q(y).
-(y - 1)*(y + 58)/3
Let c(w) be the first derivative of w**4/2 - 23*w**3/12 - 35*w**2/8 - w - 419. Factor c(d).