- 2*d**5/5 - 26*d**4/9 - 160*d**3/27 + 686*d. Factor t(y).
2*y*(y - 40)*(y + 2)**2/9
Let l(k) be the third derivative of k**8/3360 - k**7/252 + k**6/45 - k**5/15 + k**4/4 + 2*k**2. Let f(s) be the second derivative of l(s). Factor f(i).
2*(i - 2)**2*(i - 1)
Suppose 2*q = -2*r - 6, 0 = -2*q + 1 - 7. Let o(j) be the third derivative of 0 - 6*j**2 + 1/54*j**4 + r*j**3 - 1/270*j**5 + 0*j. Solve o(h) = 0.
0, 2
Let r be (-122)/732 - 26/(-12). Factor -6/11*y + 0 - 2/11*y**r.
-2*y*(y + 3)/11
Let t(q) be the second derivative of q**8/3696 - q**7/770 + q**6/440 - q**5/660 - 13*q**2/2 - 13*q. Let w(p) be the first derivative of t(p). Factor w(g).
g**2*(g - 1)**3/11
Let c(i) be the second derivative of 0 + 7*i + 5/3*i**3 + 5/12*i**4 + 5/2*i**2. Suppose c(b) = 0. Calculate b.
-1
Factor -21*o**2 - 24 - 4*o**3 + 21*o**2 + 330*o - 302*o.
-4*(o - 2)*(o - 1)*(o + 3)
Factor 3*a - 12*a**2 - 27/4*a**4 + 63/4*a**3 + 0.
-3*a*(a - 1)*(3*a - 2)**2/4
Let h(b) be the third derivative of 0*b + 3/160*b**6 - 1/120*b**7 - 1/120*b**5 + 20*b**2 + 0 + 0*b**4 + 0*b**3. Solve h(t) = 0.
0, 2/7, 1
Suppose 0 = 2*y - 10 - 2. Let -110*w + y*w**2 + 110*w - 3*w**3 = 0. Calculate w.
0, 2
Let m(g) be the third derivative of -g**8/1008 + g**7/70 - 23*g**6/360 + 7*g**5/180 + g**4/3 - 8*g**3/9 + g**2 + 8. Suppose m(r) = 0. What is r?
-1, 1, 4
Determine n, given that 4 + 2*n**3 + 6*n**4 - 25*n - 18*n**2 + 30*n + n = 0.
-2, -1/3, 1
Let m(p) be the first derivative of 14/15*p**5 - 167/6*p**4 + 0*p - 20 + 98/9*p**6 - 4*p**2 - 176/9*p**3. Suppose m(k) = 0. What is k?
-1, -2/7, 0, 3/2
Suppose -9397*b + 9052*b + 8*b**2 + b**2 - 6*b**2 = 0. What is b?
0, 115
Let d be (-27)/9 - -22*1. Let m = d + -15. Find r such that 5*r**3 - 5*r**m + 188*r - 188*r = 0.
0, 1
Let t(m) be the third derivative of m**7/280 - m**6/40 + m**5/20 + 7*m**3/6 + 2*m**2. Let d(c) be the first derivative of t(c). Determine j so that d(j) = 0.
0, 1, 2
Suppose c - 7 = -9. Let l(w) = w**3 + 2*w**2 + w + 4. Let a be l(c). Factor -4/3*n**5 + 0 - 4/3*n + 0*n**a + 8/3*n**3 + 0*n**4.
-4*n*(n - 1)**2*(n + 1)**2/3
Let k(v) = -7*v**3 + 167*v**2 - 365*v + 218. Let g(j) = j**3 - 28*j**2 + 61*j - 36. Let d(y) = 39*g(y) + 6*k(y). Suppose d(o) = 0. Calculate o.
-32, 1
Suppose 15*r + 5*r - 130*r**3 + 125*r**3 = 0. Calculate r.
-2, 0, 2
Let o(q) be the first derivative of 2*q**5/45 + 7*q**4/9 + 38*q**3/9 + 40*q**2/9 - 224*q/9 - 147. Factor o(k).
2*(k - 1)*(k + 4)**2*(k + 7)/9
Let i(k) = -k**3 - 14*k**2 - 13*k + 8. Let z be i(-13). Factor -22*s - z*s**2 + 2*s**3 + 18*s - 6*s**3.
-4*s*(s + 1)**2
Factor 2*p**3 + 5 + 848*p - 850*p + p**4 - p**2 - 5.
p*(p - 1)*(p + 1)*(p + 2)
Let y = 660 - 660. Let d(q) be the second derivative of -9*q + 1/54*q**4 - 1/9*q**2 + 0 + y*q**3. Factor d(a).
2*(a - 1)*(a + 1)/9
Let v = 52103 + -573129/11. What is n in -28/11*n**3 - v - 2/11*n**5 - 32/11*n**2 - 12/11*n**4 - 18/11*n = 0?
-2, -1
Let r = 3664/11 - 333. Solve -2/11*l + 1/11*l**3 + r*l**2 + 0 = 0.
-2, 0, 1
Suppose -12*y**2 - 99*y + 27*y**2 - 7*y**2 + 2*y - 7*y**2 = 0. What is y?
0, 97
Let q(y) be the second derivative of y**6/150 + y**5/20 + y**4/60 - 7*y**3/10 - 9*y**2/5 - 2*y + 21. Factor q(x).
(x - 2)*(x + 1)*(x + 3)**2/5
Let x = 8 + -5. Factor -17*c**x + 2*c**2 + 13*c**3 + 3*c**2 - 16*c + 11*c**2.
-4*c*(c - 2)**2
Suppose 30*p = 10*p + 16 + 64. Find h, given that 48/7 + 4/7*h**3 + p*h**2 + 64/7*h = 0.
-3, -2
Let r(i) be the first derivative of 3*i**4/4 - 78*i**3 + 3042*i**2 - 52728*i + 148. Factor r(j).
3*(j - 26)**3
Let g be 46/24 - (-1845)/(-1107). Factor -g*z**2 + 1/4*z**4 + 3/4*z**3 - 3/4*z + 0.
z*(z - 1)*(z + 1)*(z + 3)/4
Factor -45 - 101*o - 14 - 15*o - 78 - 111 + 4*o**2.
4*(o - 31)*(o + 2)
Let y be 5/((-50)/52) + (-117 - -124). Factor -y*u**3 - 7/5*u**2 - 2/5*u - u**4 + 0 - 1/5*u**5.
-u*(u + 1)**3*(u + 2)/5
Let x be (2/(-2))/((-13)/39). Determine i so that -594*i**2 - 3*i - x*i + 593*i**2 - 9 = 0.
-3
Let b(w) be the second derivative of -6*w**2 + 4*w. Let f(r) = -8*r**2 + 2*r**2 - 1 - r + 2*r**2 + 3*r**2. Let z(m) = b(m) - 4*f(m). Factor z(y).
4*(y - 1)*(y + 2)
Find x such that -23450/3*x**4 - 992/3 + 250*x**5 + 9952/3*x**2 - 320*x + 1960*x**3 = 0.
-2/5, 2/5, 2/3, 31
Let g(y) = 8*y**4 + 5*y**3 + 2*y**2 - 2*y - 2. Let n(i) = -3 - 8 - 10*i + 21*i**3 + 9*i**2 + i + 2 + 33*i**4. Let o(m) = 9*g(m) - 2*n(m). Factor o(w).
3*w**3*(2*w + 1)
Let t(m) be the second derivative of 3/10*m**5 + 0*m**6 + 0*m**2 + 0*m**4 - 1/14*m**7 + 0 + 11*m - 1/2*m**3. Suppose t(u) = 0. What is u?
-1, 0, 1
Let w(u) = -u**3 - 6*u**2 + 7*u - 11. Let h be w(-7). Let y(n) = n + 15. Let m be y(h). Suppose 8*t**2 + 0 - 25/2*t**m + 2*t + 5/2*t**3 = 0. Calculate t.
-2/5, 0, 1
Let y be 3*1/((-1)/(-2))*1. Let p be ((-15)/y)/((-10)/(-4)*-2). Find t such that -t**4 + 1/2*t + 0*t**3 + 0 - p*t**5 + t**2 = 0.
-1, 0, 1
Let m = 1670 + -1668. Let q(p) be the third derivative of 0*p + 0*p**3 - 2/15*p**5 + 0 + 1/3*p**4 + m*p**2 + 1/60*p**6. Determine o, given that q(o) = 0.
0, 2
Let s(p) be the second derivative of p**8/3360 + p**7/630 + 7*p**4/3 + 24*p. Let h(d) be the third derivative of s(d). Determine v so that h(v) = 0.
-2, 0
Let w(c) be the third derivative of c**9/336 - c**8/192 - c**7/252 - 11*c**4/6 + 24*c**2. Let u(t) be the second derivative of w(t). Let u(y) = 0. Calculate y.
-2/9, 0, 1
Let u be 3*1/(-1)*101/(-1). Factor x - 298*x**2 - 4 - 77*x - u*x**2 + 240*x**2.
-(19*x + 2)**2
Let u(r) be the second derivative of r**7/63 - 2*r**6/45 - r**5/15 + 2*r**4/9 + r**3/9 - 2*r**2/3 + 14*r + 3. Suppose u(i) = 0. What is i?
-1, 1, 2
Suppose p = 2*n + 6 - 2, -2*n = 3*p + 12. Let w be (p/18)/((-7)/168). Determine m, given that -w + 154/3*m**4 - 146/3*m**2 + 34/3*m**3 + 64/3*m - 98/3*m**5 = 0.
-1, 2/7, 1
What is r in -16/7*r + 4/7*r**3 - 8/7*r**2 + 2/7*r**4 + 0 = 0?
-2, 0, 2
Let r(p) be the second derivative of -p**7/189 + p**6/15 - 3*p**5/10 + 23*p**4/54 + 8*p**3/9 - 4*p**2 - 20*p - 1. What is u in r(u) = 0?
-1, 2, 3
Suppose 3*p + 2*b - 17 = -3, 5*p + 5*b = 25. What is z in -2*z**4 + 2*z**3 + 0*z**4 - 5*z**5 + p*z**4 + z**4 = 0?
-2/5, 0, 1
Factor 196*d + 16*d**3 - 116 - 5*d**2 - 107*d**2 + 116.
4*d*(2*d - 7)**2
Let t be 370/111*6*(-1)/(-5). Let p(i) be the second derivative of 3*i - 3/2*i**2 + i**t + 3/2*i**3 + 0. What is g in p(g) = 0?
-1, 1/4
Factor 116 + 2557*n**2 - 1213*n**2 - 133*n + 4*n**3 - 1236*n**2 - 95*n.
4*(n - 1)**2*(n + 29)
Let f = -35/341 - -3865/4433. Determine p, given that -12/13 - f*p**3 + 22/13*p + 24/13*p**2 = 0.
-1, 2/5, 3
Suppose 32*m + 28 = 39*m. Suppose 2*t = 6*t - 12. Factor -m*p**t - 8/3*p**2 - 2/3*p - 8/3*p**4 + 0 - 2/3*p**5.
-2*p*(p + 1)**4/3
Let b(g) be the first derivative of g**5/35 + g**4/14 - g**3/7 - 3. Factor b(l).
l**2*(l - 1)*(l + 3)/7
Let o = 14446 - 14442. Factor 1/3*m + 13/3*m**3 + 0 + 4/3*m**5 + o*m**4 + 2*m**2.
m*(m + 1)**2*(2*m + 1)**2/3
Let v = -28 + 33. Suppose 12*i - 5*y + 21 = 14*i, v*i = -5*y + 30. Factor 1/3*w + 4/3*w**4 + 0 - 1/3*w**i - 4/3*w**2.
w*(w - 1)*(w + 1)*(4*w - 1)/3
Let r(f) be the first derivative of f**4/7 + 4*f**3/3 - 20*f**2/7 - 64*f/7 - 274. Factor r(w).
4*(w - 2)*(w + 1)*(w + 8)/7
Suppose 5*y + 0*y - 15 = 0, -78 = -3*q + 4*y. Let s be 4/3*q/25. Factor 2/5*m**2 + 8/5 + s*m.
2*(m + 2)**2/5
Let q(k) be the second derivative of 7*k**5/20 - 83*k**4/36 + 40*k**3/9 + 2*k**2/3 - 268*k. Suppose q(o) = 0. Calculate o.
-1/21, 2
Let a(o) be the first derivative of o**5/240 + o**4/48 - 27*o**2/2 - 36. Let j(m) be the second derivative of a(m). Factor j(b).
b*(b + 2)/4
Let j(x) = x**2 + 57*x + 576. Let o be j(-13). Factor -5/4*l**2 + 1/8*l**3 - 4 + o*l.
(l - 4)**2*(l - 2)/8
Let i = -12694 - -25403/2. Let -i*z + 5 + 0*z**2 + 5/2*z**3 = 0. Calculate z.
-2, 1
Let m = -147 - -147. Let q be (-55)/(-15) + m + -3. Factor 0 - 2/3*o**4 + 0*o + q*o**2 - 2/3*o**3 + 2/3*o**5.
2*o**2*(o - 1)**2*(o + 1)/3
Let b(g) = 5*g**2 + 20*g + 5. Let q(o) = o**3 + o**2 + o + 3. Let n(r) = -b(r) + 5*q(r). What is f in n(f) = 0?
-2, 1
Let p = 4 - 2. Let o be 119/68*(-52)/14 - -7. Determine d, given that o*d**p + 1 + 3/2*d = 0.
-2, -1
Solve -17*f**5 - 21*f**5 + 58*f**5 + 27*f**3 - 17*f**5 - 36*f + 18*f**4 - 112*f**2 + 100*f**2 = 0 for f.
-3, -2, 0, 1
Let y(z) be the first derivative of -z**4/4 + 5*z**3/2 - 6*z**2 - 6*z - 2. Let j(f) be the first derivative of y(f). Factor j