+ 49*v**3 - 355*v**2 - 940*v + 25*v**4 - 360.
5*(v - 4)*(v + 3)**2*(5*v + 2)
Factor 8/7 + 0*n + 2/7*n**3 - 6/7*n**2.
2*(n - 2)**2*(n + 1)/7
Let p(f) be the second derivative of 8*f**3 - 2*f**6 + 0 - 8/21*f**7 + 19/3*f**4 + 17*f - 8*f**2 - 8/5*f**5. Determine y, given that p(y) = 0.
-2, -1, 1/4, 1
Let c(y) be the third derivative of y**7/840 - y**6/120 + y**5/40 + 9*y**4/8 - 4*y**2. Let r(i) be the second derivative of c(i). Let r(a) = 0. What is a?
1
Suppose 0 = -2*u - 5*j + 52, -4*j - 5 + 21 = 0. Factor -9*i**4 - 3*i**4 - 8*i - 2*i**5 + u*i**2 - 40*i**2 - 26*i**3.
-2*i*(i + 1)**2*(i + 2)**2
Let h(k) = k**2 + 3*k + 3. Let s be h(-3). Let m be ((-24)/(-64))/(s - 0). Let 0*i - 1/4*i**3 + 0*i**2 + 0 - m*i**4 = 0. What is i?
-2, 0
Let d(v) be the first derivative of 1/2*v**4 + 0*v**2 + 0*v**3 + 21 + 0*v. Let d(i) = 0. What is i?
0
Suppose -452*m - 2 + 3*m**2 + m**2 + 2 + 352*m = 0. Calculate m.
0, 25
Let j(h) = -61*h**2 - 59*h + 17. Let s(p) = 63*p**2 + 63*p - 18. Let v(x) = 6*j(x) + 5*s(x). Factor v(i).
-3*(i + 1)*(17*i - 4)
Let w(k) = 3*k**2 - 28*k - 18. Let u be w(10). Let c(y) = y - 4. Let f be c(7). What is l in 3*l**f - l**2 + 6*l + 10*l**u + 0*l**3 = 0?
-2, -1, 0
Let g = -1852 - -1854. Factor -2/5*i**g - 8/5*i - 8/5.
-2*(i + 2)**2/5
Let v(i) = 9*i - 1. Let s be v(-1). Let r be 6/(-18) - s/3. Factor 1/3*f**r + 0 + 0*f + 0*f**2.
f**3/3
Let k(o) be the first derivative of 4/11*o**3 + 0*o - 22 + 7/33*o**6 - 32/55*o**5 + 0*o**2 - 17/22*o**4. Solve k(m) = 0.
-1, 0, 2/7, 3
Factor -36*y**3 + 5*y**2 + 87*y**3 - 23*y**3 - 23*y**3.
5*y**2*(y + 1)
Let r(i) be the first derivative of i**7/210 + i**6/75 - i**5/100 - i**4/30 + 14*i - 6. Let u(b) be the first derivative of r(b). Let u(j) = 0. Calculate j.
-2, -1, 0, 1
Let b be -5 + 550/78 - (1 - -1). Let w(z) be the first derivative of 0*z + 0*z**2 - b*z**3 - 2/65*z**5 + 1/13*z**4 - 1. Solve w(f) = 0 for f.
0, 1
Let q(p) be the third derivative of 0*p**3 + 1/1008*p**8 + 0 + 4*p**2 + 0*p**4 - 1/360*p**6 - 1/180*p**5 + 0*p + 1/630*p**7. Factor q(u).
u**2*(u - 1)*(u + 1)**2/3
Let b(h) be the first derivative of h**6/10 + 3*h**5/25 - 3*h**4/10 - 2*h**3/5 + 3*h**2/10 + 3*h/5 + 32. Factor b(m).
3*(m - 1)**2*(m + 1)**3/5
Let s(c) be the first derivative of c**4/132 - c**3/33 + c**2/22 + 3*c + 26. Let a(y) be the first derivative of s(y). Suppose a(q) = 0. Calculate q.
1
Let x(l) = 1 - 3*l + 4 + 5*l - 3. Let q be x(0). Factor 6*z + 4/3 - 8/3*z**3 + 2*z**q.
-2*(z - 2)*(z + 1)*(4*z + 1)/3
Solve 205*f**4 - 575*f**2 + 286*f**2 + 50*f**3 + 289*f**2 + 20*f**5 = 0.
-10, -1/4, 0
Let v be (0 - 4/16)*-12. Suppose -2*s = -9 + v. Factor m**3 - m**s - 4*m**2 - 4*m**3.
-4*m**2*(m + 1)
Factor -33*v - 32*v + 122*v - 33*v + 2*v**3 - 36*v - 10*v**2.
2*v*(v - 6)*(v + 1)
Let d(o) be the third derivative of 7*o**7/75 + 427*o**6/150 + 3469*o**5/150 - 183*o**4/5 + 108*o**3/5 + 243*o**2. Factor d(k).
2*(k + 9)**2*(7*k - 2)**2/5
Let x be (10*-2)/(5/(-15)). Solve 2 - 39*v**5 + 15*v + x*v**5 + 9*v**3 - 54*v**3 - 40*v**4 + 20*v**2 + 27*v**5 = 0 for v.
-2/3, -1/4, 1
Let z = 5564 - 20711/4. Let w = z - 384. Factor w*i - 3/2*i**3 - 3/4*i**5 - 3/2*i**2 - 3/4 + 9/4*i**4.
-3*(i - 1)**4*(i + 1)/4
Let o be 14/21 - 4/(-3). Factor -1 - 8*s**2 + 2*s**2 - 1 + 8*s**o.
2*(s - 1)*(s + 1)
Let f(l) be the third derivative of -l**5/75 - 31*l**4/40 - 23*l**3/30 + 8*l**2 - 3*l. Factor f(t).
-(t + 23)*(4*t + 1)/5
Let g(w) be the third derivative of -5*w**5/12 - 35*w**4/18 - 98*w**3/27 - 171*w**2. Suppose g(o) = 0. What is o?
-14/15
Let z(a) = 75*a**4 + 680*a**3 + 1345*a**2 + 630*a + 75. Let b(l) = 2*l**4 + l**3 + l + 1. Let i(s) = -15*b(s) - z(s). Determine j so that i(j) = 0.
-3, -1/3, -2/7
Find r, given that -3 - 9*r**3 + 18*r - 9*r**5 - 93/4*r**2 + 105/4*r**4 = 0.
-1, 1/4, 2/3, 1, 2
Suppose 0 = -v - 3*b - 2, 23 = -5*v - 2*b - 0. Let l be 2052/(-480) + (-2)/16 - v. Suppose -3/5*m + l*m**2 + 3/5*m**3 - 3/5 = 0. What is m?
-1, 1
Factor 4/5*u + 48/5 - 2/5*u**3 - 2*u**2.
-2*(u - 2)*(u + 3)*(u + 4)/5
Suppose 0 = -y + 5, -22*y + 50 = 3*a - 21*y. Suppose 2*w = -2*h + h - 10, 3*w + a = 4*h. Factor -4/3*b**3 + 2/3*b**4 + h*b + 0 + 2/3*b**2.
2*b**2*(b - 1)**2/3
Let d(v) = -v - 23. Let y be d(-23). Factor -3/7*a**4 + 0*a + 6/7*a**3 - 3/7*a**2 + y.
-3*a**2*(a - 1)**2/7
Let n = -2048483/15306 - -5/2551. Let h = n + 134. What is j in 1/3*j**4 + 0 - 1/6*j**5 + 0*j**2 - h*j**3 + 0*j = 0?
0, 1
Suppose -3*m = -4*t - m + 6, -5*t = 4*m - 27. Factor 2 + 84*s - 60*s + 6*s**2 - 10*s**t + 6.
-2*(s - 2)*(s + 1)*(5*s + 2)
Let c(y) = 0*y + 2*y + 2*y - 5*y. Let d = 3 - 4. Let j(q) = -15*q**2 - 17*q - 6. Let t(a) = d*j(a) - 4*c(a). Factor t(n).
3*(n + 1)*(5*n + 2)
Let q(a) = 3 + a - 4 + 2*a + a**3 - 4*a. Let r(b) = -b**4 + 10*b**3 + b**2 - 10*b - 9. Let u(x) = 18*q(x) - 2*r(x). Suppose u(w) = 0. What is w?
-1, 0, 1
Let s be (-1)/(-4) + (1326/56)/39. Factor s - 4/7*q - 2/7*q**2.
-2*(q - 1)*(q + 3)/7
Let m(k) be the third derivative of k**8/448 - k**7/120 - k**6/20 + k**5/20 + k**4/6 - 83*k**2. Determine p, given that m(p) = 0.
-2, -2/3, 0, 1, 4
Solve 0*w + 14/11*w**2 + 0 + 2/11*w**3 = 0 for w.
-7, 0
Let k = -2614/5 - -523. Factor 0*g - k*g**3 + 0 + 0*g**2 + 1/5*g**4.
g**3*(g - 1)/5
Let h(p) = -24*p**4 + 366*p**3 + 1200*p**2 + 1220*p + 396. Let z(g) = -5*g**4 + 73*g**3 + 240*g**2 + 244*g + 79. Let b(u) = -6*h(u) + 28*z(u). Factor b(o).
4*(o - 41)*(o + 1)**3
Factor -58/7*w + 2/7*w**3 - 30/7 - 26/7*w**2.
2*(w - 15)*(w + 1)**2/7
Let h = -160 + 166. Let y(k) be the second derivative of 0 + 5/2*k**3 - 3/20*k**5 - 1/10*k**h + 3/4*k**4 - 4*k + 3*k**2. Let y(s) = 0. Calculate s.
-1, 2
Let i = 84 + -75. Factor 1/2*f**4 + 4 - 7/2*f**3 - 10*f + i*f**2.
(f - 2)**3*(f - 1)/2
Suppose 181*d = -0*d. Let -2/9*h**5 + 0*h + 0*h**2 + d*h**3 - 2/3*h**4 + 0 = 0. What is h?
-3, 0
Let s(g) be the second derivative of g**7/14 + 7*g**6/10 + 57*g**5/20 + 25*g**4/4 + 8*g**3 + 6*g**2 - 22*g + 1. Factor s(a).
3*(a + 1)**3*(a + 2)**2
Let k(r) = -43*r**2 + 43*r - 206. Let n(s) = 10*s**2 - 11*s + 51. Let i(w) = -6*k(w) - 26*n(w). Factor i(z).
-2*(z - 9)*(z - 5)
What is u in -453*u - 15 + 2*u**2 + 483*u + 115 = 0?
-10, -5
Let r(n) be the second derivative of 1/140*n**5 - 1/252*n**6 + 0 + 1/42*n**4 + n**3 + 0*n**2 + 10*n. Let y(x) be the second derivative of r(x). Solve y(d) = 0.
-2/5, 1
Let o(n) be the third derivative of -n**5/30 + 31*n**4/6 - 961*n**3/3 + 7*n**2 - 2*n. Suppose o(w) = 0. Calculate w.
31
Let p(q) be the second derivative of -q + 0*q**4 + 0 - 1/180*q**5 + 2/9*q**3 + 5/2*q**2. Let y(d) be the first derivative of p(d). Solve y(j) = 0 for j.
-2, 2
Let j(r) be the first derivative of -r**5/10 + r**4/3 - r**3/3 + 11*r - 5. Let a(f) be the first derivative of j(f). Solve a(v) = 0 for v.
0, 1
Let w be 6/5*(-65)/(-26). Factor -16*d + 23*d**2 - 13*d**w + 9*d**2 + d**3.
-4*d*(d - 2)*(3*d - 2)
Let m(h) = 1 + 841*h**2 + h - 842*h**2 + h**3 - 2*h. Let d(t) = -28*t**3 - 4*t**2 + 92*t - 60. Let g(a) = -d(a) - 24*m(a). Factor g(w).
4*(w - 1)**2*(w + 9)
Let r(d) be the first derivative of 0*d**2 + 3/4*d**4 + 0*d + 21 + 3/5*d**5 + 0*d**3. Let r(q) = 0. What is q?
-1, 0
Let x(d) be the second derivative of -15*d + 1/6*d**3 + 1/2*d**2 + 1/48*d**4 + 0. Suppose x(y) = 0. What is y?
-2
Let z(n) = -n**3 + 6*n**2 + 5*n - 52. Let p be z(4). Let h(y) be the third derivative of 1/48*y**4 - 1/120*y**5 + p*y**3 + 0 + y**2 + 0*y. Factor h(l).
-l*(l - 1)/2
Factor 128 - 48*t**3 + 99*t**3 - 96*t - 53*t**3 - 30*t**2.
-2*(t - 1)*(t + 8)**2
Let s(k) = 5*k**3 - 77*k**2 + 304*k + 62. Let x(y) = 10*y**3 - 153*y**2 + 608*y + 123. Let g(m) = -5*s(m) + 2*x(m). Factor g(w).
-(w - 8)**2*(5*w + 1)
Let u be 5/(-4) + (-13783)/(-2156). What is v in -48/7*v**4 + u*v**5 + 0 + 4/7*v**3 + 8/7*v**2 + 0*v = 0?
-1/3, 0, 2/3, 1
Let x = -237 - -242. Let m(q) be the first derivative of 0*q + 1/18*q**4 + 4 + 0*q**3 + 2/45*q**x + 0*q**2. Factor m(v).
2*v**3*(v + 1)/9
Solve -2*u + 3/2*u**3 - u**4 + 2*u**2 - 1/2*u**5 + 0 = 0.
-2, 0, 1
Let y = 7369 - 22103/3. Factor y*f**3 + 0*f**2 - 4*f - 8/3.
4*(f - 2)*(f + 1)**2/3
Suppose 49*k - 267 + 169 = 0. Factor -4/5*t - 2/5*t**4 + 0*t**k + 4/5*t**3 + 2/5.
-2*(t - 1)**3*(t + 1)/5
Let x be (-2 - 2) + (16 - 7). Determine k so that -13*k + 45 + 3*k + x*k**2 - 20*k = 0.
3
Let x(r) be the first derivative of r**3 - 81*r**2 + 2187