. Factor w(k).
-(k - 2)*(k + 3)**2
Let k = -211 + 1784. Let r = -11008/7 + k. Find v such that 1/7*v**3 + 1/7 + r*v + 3/7*v**2 = 0.
-1
Suppose -103*w + 106*w = -3*a + 981, -2*w = -4*a - 666. Let j be -15 + 11 - (-62)/4. Factor -343/2 - w*n**2 - 95*n**3 - j*n**4 - 1/2*n**5 - 833/2*n.
-(n + 1)**2*(n + 7)**3/2
Find a such that -32*a + 122*a - 8*a - 9*a - 4*a**2 - 25*a + 112 = 0.
-2, 14
Let n(h) be the second derivative of 1 - 1/14*h**3 + 31*h - 3/14*h**4 + 0*h**2. What is s in n(s) = 0?
-1/6, 0
Let l(u) be the third derivative of 3*u**2 + 14/39*u**3 + 5/52*u**4 + 17 + 0*u + 1/390*u**5. Solve l(z) = 0 for z.
-14, -1
Let p(d) = d**2 - 55*d - 332. Let o(v) = -v**2 + 57*v + 330. Let i(l) = 3*o(l) + 4*p(l). Let r(h) = -h**2 + 99*h + 676. Let f(z) = 5*i(z) + 3*r(z). Factor f(c).
2*(c + 13)**2
Let c(f) = f**2 + 3*f - 2. Let i(o) = -5 - 110*o + 118*o + 2*o**2 + o**2. Let z(v) = 9*c(v) - 4*i(v). Solve z(g) = 0 for g.
-2, 1/3
Let z(j) = -5*j**3 - 99*j**2 - 202*j + 6. Let i(r) = 5*r**3 + 100*r**2 + 200*r - 5. Let t(b) = 6*i(b) + 5*z(b). Determine u so that t(u) = 0.
-19, -2, 0
Let n(x) = x**3 - 7*x**2 - 3*x - 38. Let b be n(8). Let y = 9/14 - -1/42. Determine d so that 0 - y*d - 1/3*d**b = 0.
-2, 0
Suppose 176 = -10*i + 54*i. Suppose -i = 3*y - 2*l - 6, -3*y + 10 = 2*l. Suppose -y - 2/3*f**4 - 20/3*f - 4*f**3 - 8*f**2 = 0. Calculate f.
-3, -1
Let l be 162/(-36) + 18/(-12) + 10. Let p(n) be the third derivative of 18*n**2 + 0*n + 2/15*n**5 - 4/3*n**3 - 1/30*n**6 + 0 + 1/6*n**l. Factor p(v).
-4*(v - 2)*(v - 1)*(v + 1)
Let x(a) = 14*a**3 - 837*a**2 - 210*a - 4. Let o(y) = -25*y**3 + 1675*y**2 + 420*y + 10. Let j(m) = 2*o(m) + 5*x(m). Determine s so that j(s) = 0.
-1/4, 0, 42
Let b(p) be the third derivative of -1369*p**7/315 - 2701*p**6/90 + 238*p**5/3 - 187*p**4/18 + 5*p**3/9 + p**2 + 6. What is d in b(d) = 0?
-5, 1/37, 1
Let a(o) be the first derivative of o**5/130 + 4*o**4/39 + 17*o**3/39 + 10*o**2/13 - 12*o + 206. Let s(q) be the first derivative of a(q). Factor s(z).
2*(z + 1)*(z + 2)*(z + 5)/13
What is r in -79/5*r + 25*r**2 - 41/5*r**4 + 4/5*r**5 - 84/5 + 15*r**3 = 0?
-1, -3/4, 1, 4, 7
Determine d, given that -39*d**2 - 118/3*d**3 + 235/6 - 1/6*d**4 + 118/3*d = 0.
-235, -1, 1
Let x(b) be the second derivative of 7*b**6/75 + 9*b**5/50 - 61*b**4/30 - 27*b**3/5 - 18*b**2/5 - 1429*b. Find i, given that x(i) = 0.
-3, -1, -2/7, 3
Let w(t) be the third derivative of -15*t**3 + 154*t**2 + 0 + 0*t + 1/12*t**5 + 35/24*t**4. Let w(f) = 0. What is f?
-9, 2
Let b(k) be the first derivative of 2*k**3/3 - 13*k**2 + 80*k + 33. Suppose b(a) = 0. What is a?
5, 8
Let q(i) be the second derivative of i**5/210 + 3*i**4/14 + 32*i**3/21 + 92*i**2/21 - 1417*i. Solve q(c) = 0 for c.
-23, -2
Factor -16*x**4 + 392/3*x**2 + 28*x**3 + 4/3*x**5 + 0 + 0*x.
4*x**2*(x - 7)**2*(x + 2)/3
Let h(v) be the second derivative of v**4/18 - 29*v**3/9 - 84*v**2 + 2358*v + 1. Factor h(d).
2*(d - 36)*(d + 7)/3
Let i(y) be the second derivative of y**7/231 - 26*y**6/165 + 153*y**5/110 + 18*y**4/11 - 612*y**3/11 - 10185*y. Suppose i(w) = 0. What is w?
-3, 0, 6, 17
Let w(x) be the first derivative of 0*x**2 - 2 + 1/5*x**5 - 2/3*x**3 + 1/4*x**4 + 0*x. Factor w(t).
t**2*(t - 1)*(t + 2)
What is a in 184*a**2 - 139*a**4 + 15*a**3 + 15*a**4 - 6*a**5 - 87 + 45*a**3 + 122*a + 200*a**2 + 3 = 0?
-21, -1, 1/3, 2
Suppose -m + 4*s - 9 = 0, 2*m - s + 10 = -15. Let h be (7332/60)/m - -10. Determine a so that h + 7/5*a**4 + 22/5*a**2 - 1/5*a**5 - 18/5*a**3 - 13/5*a = 0.
1, 3
Let j(r) be the first derivative of -r**4/4 - r**3/2 - 47*r - 74. Let s(k) be the first derivative of j(k). Factor s(p).
-3*p*(p + 1)
Factor 3/4*c**3 - 21/4*c**2 - 43/4*c + 1/2*c**4 - 21/4.
(c + 1)**2*(c + 3)*(2*c - 7)/4
Suppose -6*f = -4*f. Find k, given that -26*k**2 + 8*k + 28*k**2 + 10 - 20*k + f = 0.
1, 5
Let z(t) = -7*t**2 + 378*t - 796. Let m(r) = -12*r**2 + 761*r - 1593. Let b(s) = -4*m(s) + 7*z(s). Solve b(k) = 0.
-400, 2
Let r(n) be the second derivative of 1/20*n**5 + 13*n + 0 - 1/3*n**4 - n**2 + 5/6*n**3. Factor r(i).
(i - 2)*(i - 1)**2
Suppose 181*s = 173*s + 288. Suppose 53*r + 29 + s*r**2 - 11 + 27*r - 2 = 0. What is r?
-2, -2/9
Suppose 2*n - 2 + 0 = 2*q, 4*q = 4. Let d be (1/6 - 1/(-3))/((-26)/(-26)). Factor 3*k + d*k**n + 5/2.
(k + 1)*(k + 5)/2
Let g = -7951/70 + 800/7. Let n(u) be the first derivative of -2*u - 1/15*u**3 - g*u**2 + 22. Find k such that n(k) = 0.
-5, -2
Let v be 66/10 + (-25443)/3855. Factor -16/3*y - 4/3*y**4 + 0*y**2 + v + 4*y**3.
-4*y*(y - 2)**2*(y + 1)/3
Let j(d) = 3*d**2 + 6*d + 18. Let g(v) = 16*v**2 + 29*v + 91. Let u = 139 - 143. Let m(o) = u*g(o) + 22*j(o). Factor m(q).
2*(q + 4)**2
Let l = -1 - -8. Find h, given that l*h**2 - 13*h**3 - 6*h**5 + 5*h**4 + 14*h**5 - 7*h**5 + 0*h**5 + 0*h**2 = 0.
-7, 0, 1
Suppose 13*y = 29 - 3. Let p(t) = -2*t**2 + 40*t + 31. Let m(k) = 2*k + 1. Let z(c) = y*p(c) - 22*m(c). Find d such that z(d) = 0.
-1, 10
Let -176 + 1137*u - 140*u**2 - 824 + 4*u**3 + 2232 - 49*u = 0. Calculate u.
-1, 14, 22
Let z(q) be the third derivative of -q**5/70 + 447*q**4/14 - 199809*q**3/7 + 53*q**2 + 11. Find b such that z(b) = 0.
447
Determine g, given that 0*g**2 + 1/9*g**5 + 1936/9*g**3 - 88/9*g**4 + 0*g + 0 = 0.
0, 44
Let u = -3104 - -3106. Let m(k) be the first derivative of 2/27*k**3 - 8/9*k - 7 + 0*k**u. Find x, given that m(x) = 0.
-2, 2
Factor -5*w**3 + 4*w**3 + 134*w + 31*w**2 + 10*w**2 - 168 - w**3 - 5*w**2.
-2*(w - 21)*(w - 1)*(w + 4)
Factor -61*y - 1 + 7*y**2 - 6*y**3 - 1 + 27*y + 27*y + 18*y**3.
(y + 1)*(3*y - 2)*(4*y + 1)
Let b(f) = -f**2 + 109*f - 210. Let k be b(2). Let t(j) be the third derivative of 5/8*j**k + 18*j**2 + 0*j + 5/3*j**3 - 5/12*j**5 + 0. Factor t(a).
-5*(a - 1)*(5*a + 2)
Suppose -5*g + 23 = -4*q + 17, 5*g + q - 11 = 0. Let a(f) be the first derivative of -1/12*f**3 + 22 + 1/8*f**g + 0*f. Find i, given that a(i) = 0.
0, 1
Let f(y) be the second derivative of -y**7/168 + 7*y**6/72 + y**5/24 - 35*y**4/24 - 28*y**3 - y - 1. Let i(z) be the second derivative of f(z). Factor i(k).
-5*(k - 7)*(k - 1)*(k + 1)
Let i(w) be the third derivative of -w**7/504 - 5*w**6/144 - w**4/4 + 31*w**2. Let o(c) be the second derivative of i(c). Factor o(j).
-5*j*(j + 5)
Let c(a) = -2*a - 8. Let m be c(-5). Suppose 0 = 9*g - 1374 - 408. Solve 196*s**2 + s - 392*s**2 + g*s**m + 9*s = 0 for s.
-5, 0
Let p(a) be the third derivative of 0 - 5/48*a**8 + 0*a + 7/3*a**5 + 1/4*a**6 - 5/3*a**4 - 170*a**2 - 19/42*a**7 + 0*a**3. Solve p(h) = 0 for h.
-2, 0, 2/7, 1
Let y(f) be the third derivative of f**5/690 - 41*f**4/69 - 55*f**3/23 - 3*f**2 - 149. Factor y(a).
2*(a - 165)*(a + 1)/23
Determine r, given that -1568 + 0*r**5 - 100*r**3 - 4*r**5 + 33*r**4 - 788*r**2 + 10*r**4 + 4289*r - 1881*r + 9*r**4 = 0.
-4, 1, 2, 7
Let j(x) be the third derivative of x**5/20 + 3*x**4/4 + x**3/3 + 19*x**2. Let k be j(-6). Solve 131*u - 67*u + 2*u**3 + 8*u**k - 56*u = 0 for u.
-2, 0
Let r(z) = 7*z**2 - 458*z - 457. Let c be -7 - (-15 + 1) - 12. Let m(f) = -5*f**2 + 305*f + 305. Let v(n) = c*r(n) - 8*m(n). Suppose v(k) = 0. What is k?
-1, 31
Suppose 6/7*t**4 + 12/7*t + 2/7*t**5 + 0 - 6/7*t**3 - 2*t**2 = 0. Calculate t.
-3, -2, 0, 1
Let b(p) = -p**3 + 10*p**2 + 9*p. Let k be b(10). Factor 44*q**4 - 10*q**2 + 5*q**5 - 38 - 7 + 45*q**4 + k*q**3 - 95*q - 34*q**4.
5*(q - 1)*(q + 1)**3*(q + 9)
Suppose -7*j + 1415 = 1429. Let o be (j + 1)/((-2 + -8)/20). Factor -1/9*n - 2/9 + 1/9*n**o.
(n - 2)*(n + 1)/9
Factor 0*t**4 - 3348966*t - 3280*t**3 - t**4 + 3348966*t - 3275*t**2 - 4*t**4.
-5*t**2*(t + 1)*(t + 655)
Let g(c) = -c**3 + 2*c**2 + c + 3. Let l be g(0). Suppose -5*d + 24 = -l*d. Find i such that 4 - d*i - 8*i**3 - 3*i**3 - 15*i**2 + 7*i**3 = 0.
-2, 1/4
Factor 40/3*o - 5/6*o**3 + 5/2*o**2 + 10.
-5*(o - 6)*(o + 1)*(o + 2)/6
Let w(i) be the second derivative of -i**4/6 - 172*i**3/3 + 173*i**2 - 3*i - 55. Suppose w(f) = 0. What is f?
-173, 1
Let p(m) be the first derivative of -m**6/2340 + m**5/260 + 2*m**3/3 + 19*m**2 - 46. Let t(r) be the third derivative of p(r). Factor t(u).
-2*u*(u - 3)/13
Let t(m) be the second derivative of -5*m**7/42 + 143*m**6/270 + 43*m**5/18 - 293*m**4/27 + 76*m**3/27 + 16*m**2/3 - 3548*m. Let t(w) = 0. What is w?
-3, -2/9, 2/5, 2, 4
Let t(u) be the second derivative of -1/168*u**7 + 1/15*u**