that -14*h + 20*h**4 - 3*h**2 + 8*h**3 - 4*h**3 - 8 - 30*h**4 + 11*h**4 = 0.
-4, -1, 2
Let m(d) be the first derivative of -d**4 + 28*d**3/3 - 32*d**2 + 48*d - 143. Factor m(f).
-4*(f - 3)*(f - 2)**2
Let j be (-13)/((-169)/(-26)) + (-22)/(-8). Factor j*p + 3/4*p**2 - 3/2.
3*(p - 1)*(p + 2)/4
Let f be (-24)/56 - (-106)/(-14). Let t = f + 10. Find g, given that 7*g**t - g**3 + 4*g**3 - 3*g**2 + g = 0.
-1, -1/3, 0
Let s(w) be the second derivative of 11*w - 1/6*w**4 + 0 + 1/16*w**5 - 3/4*w**2 - 19/24*w**3. Factor s(y).
(y - 3)*(y + 1)*(5*y + 2)/4
Let g = -347 + 352. Suppose 12 = 5*l + 2. Find q such that 6/5*q**3 - 2/5*q**4 + 0 - 4/5*q + 2/5*q**l - 2/5*q**g = 0.
-2, -1, 0, 1
Let j(u) be the second derivative of -u**6/30 + 2*u**5/5 + 11*u**4/12 - 3*u**3 - u - 6. Factor j(l).
-l*(l - 9)*(l - 1)*(l + 2)
Let c = 177/935 - -2/187. Factor -3/5*i + 0 - c*i**3 - 4/5*i**2.
-i*(i + 1)*(i + 3)/5
Let y be (-8)/(-36) + 86/18. Suppose -4*b - 5*h + 23 = -3*b, -4*h + 10 = -2*b. Find n, given that 2*n**2 - y*n**5 + 6*n**b + 3*n**5 + 2*n**2 = 0.
-1, 0, 2
Find d, given that -19*d**3 + 311*d**3 + 21*d**2 + 3*d**2 - 96 + 72*d**4 - 9*d**5 - 272*d - 11*d**5 = 0.
-2, -1, -2/5, 1, 6
Let w(k) = 13*k**3 + 147*k**2 + 2019*k + 8770. Let u(b) = 6*b**3 + 74*b**2 + 1010*b + 4386. Let v(j) = 9*u(j) - 4*w(j). Determine m so that v(m) = 0.
-13
Let p be 32/12 - 28/(-21). Factor 8 - 6*a**2 + 5*a + p*a**2 - 21*a + 8*a**2.
2*(a - 2)*(3*a - 2)
Let s = -4/33 - -80/297. Let g(u) be the second derivative of 5/27*u**4 + 2/189*u**7 + 0*u**2 - s*u**3 + 0 - 2/135*u**6 + 6*u - 1/15*u**5. Factor g(f).
4*f*(f - 1)**3*(f + 2)/9
Let v be (-12)/(-78) + (-54)/13 + (-568)/(-71). Find h such that 0 + 2/3*h**3 + 0*h + 1/3*h**v + 1/3*h**2 = 0.
-1, 0
Suppose -54/13 - 22/13*k**4 - 162/13*k - 92/13*k**3 - 2/13*k**5 - 180/13*k**2 = 0. What is k?
-3, -1
Solve 13/5*w - 7/5 - w**2 - 1/5*w**3 = 0 for w.
-7, 1
Let v(w) be the second derivative of -w**4/2 + 3*w**3 + 5*w**2/2 + 3*w. Let n(d) = -15*d**2 + 45*d + 12. Let k(p) = 5*n(p) - 12*v(p). Factor k(c).
-3*c*(c - 3)
Let s = 1 + 4. Suppose -s*q = -0*q - 25. Find h such that h**3 - 9*h**3 + q*h**5 + 10*h**4 + 20*h - 7*h**3 - 20*h**2 = 0.
-2, 0, 1
Let q = 13 + -7. Let x = q + -4. Factor 7*a**2 - 2*a**4 + 4*a**3 - 9*a**x + 0*a**4.
-2*a**2*(a - 1)**2
Suppose -2*t + 92 = -5*n + n, 0 = -5*t + n + 185. Solve -12*s**2 + t*s - 3*s**4 - 12 - 34*s**2 + 18*s**3 + s**2 + 6*s**2 = 0 for s.
1, 2
Let q(u) = -u**2 + 2*u + 12. Let p be q(3). Let t be 4/(-8)*p + 5. Solve 1/4*a - 1/4*a**3 + t*a**2 - 1/2 = 0.
-1, 1, 2
Let k(t) be the second derivative of t**8/1008 - t**6/180 + t**4/72 - 53*t**2/2 + 5*t. Let r(u) be the first derivative of k(u). Factor r(p).
p*(p - 1)**2*(p + 1)**2/3
Let h(b) = -b**3 - b. Let n(v) = 14*v**3 + 32*v**2 + 38*v. Let p(g) = -10*h(g) - n(g). Factor p(j).
-4*j*(j + 1)*(j + 7)
Let b(a) be the second derivative of -3/50*a**5 + 0 - 60*a**3 + 6*a - 600*a**2 - 3*a**4. Determine m, given that b(m) = 0.
-10
Let h(m) = -2*m**2 - 10*m + 535. Let n be h(-19). Factor 4/7*k**2 + 6/7*k**n + 0 + 0*k + 2/7*k**4.
2*k**2*(k + 1)*(k + 2)/7
Let b(v) be the third derivative of v**8/210 + 26*v**7/525 + v**6/5 + 28*v**5/75 + 4*v**4/15 - 446*v**2. Factor b(h).
4*h*(h + 2)**3*(2*h + 1)/5
Factor -18 - 255*q**3 + 4*q**2 + 257*q**3 + 2 - 8*q.
2*(q - 2)*(q + 2)**2
Let i(f) be the third derivative of -f**6/1800 - f**5/120 + 7*f**3/6 + 17*f**2. Let t(u) be the first derivative of i(u). Factor t(h).
-h*(h + 5)/5
Let f(m) be the second derivative of -2*m**5 + 36*m - 25/12*m**4 + 0*m**2 - 2/3*m**6 + 0 - 5/6*m**3. Factor f(u).
-5*u*(u + 1)*(2*u + 1)**2
Let g(z) = -9*z**2 - z - 17. Let p(v) = -2*v**2 - 6*v**2 - 5*v**2 + 2 + 14*v**2. Let w(y) = 6*g(y) + 51*p(y). Factor w(u).
-3*u*(u + 2)
Let u(h) = -4*h**3 - h**2 - 2*h + 4. Let y = 8 + 2. Let f = y - 14. Let c(x) = 5*x**3 + x**2 + 3*x - 5. Let v(p) = f*u(p) - 3*c(p). Solve v(a) = 0.
-1, 1
Let y(z) be the second derivative of -z**4/78 + z**3/39 + 3*z - 16. Find k, given that y(k) = 0.
0, 1
Suppose -16*j = -41 - 7. What is z in 5 - 43*z - 4*z**j - 4 - 39*z + 80*z - 7*z**2 = 0?
-1, 1/4
Let f(j) = -j - 1. Suppose -16*q + 27*q = -11. Let r(i) = i**3 - 4*i**2 - 3*i + 2. Let c(n) = q*r(n) - 2*f(n). Factor c(l).
-l*(l - 5)*(l + 1)
Let c(r) be the first derivative of 1/18*r**4 - 1/9*r**2 - 1 - 1/45*r**5 + 1/27*r**3 + 0*r. Factor c(n).
-n*(n - 2)*(n - 1)*(n + 1)/9
Let l be -147*2/(-10) + 15/25. Factor -l*a**2 - a**4 - 3*a**4 + 2*a**4 - 16*a**3 + 2*a**3 - 18*a.
-2*a*(a + 1)*(a + 3)**2
Let h = 81 - 56. Let -7*p**2 - 5*p**2 + 5*p - h + 17*p**2 + 15*p = 0. Calculate p.
-5, 1
Let f(m) be the second derivative of -3/10*m**5 + 0*m**2 + 10*m + 1/10*m**6 + 0 + m**3 - 1/4*m**4. What is o in f(o) = 0?
-1, 0, 1, 2
Suppose 0 = -2*a - 5*c - 21, 5*c - 9 = -2*a + 6*c. Solve -4/3*b**a + 2/15*b**3 + 10/3*b + 0 = 0.
0, 5
Let o be (-474)/(-84) - 2/(11/((-154)/8)). Factor -2/7*x**2 - 512/7 - o*x.
-2*(x + 16)**2/7
Let o(u) be the first derivative of -8 - 363/2*u - 1/2*u**3 - 33/2*u**2. Factor o(i).
-3*(i + 11)**2/2
Let y(x) be the third derivative of 0 + 0*x**3 + 1/2*x**4 + 0*x - 2/15*x**5 - 12*x**2. Factor y(p).
-4*p*(2*p - 3)
Let z = 553 - 2756/5. Factor -z*s**2 + 0 + 3/5*s**3 + 0*s.
3*s**2*(s - 3)/5
Suppose 10/3*f**2 - 2/3*f**5 + 2*f**4 + 0 + 0*f + 6*f**3 = 0. What is f?
-1, 0, 5
Solve 5*w**3 + 13*w - 188297*w**2 + 188272*w**2 + 45 + 2*w = 0.
-1, 3
Let w(b) be the third derivative of b**5/15 - b**4/24 - b**2. Let d(g) = 3*g**2 - g - g - g + 2*g. Let o(i) = -7*d(i) + 5*w(i). Factor o(a).
-a*(a - 2)
Let j(u) = -u**3 - 4*u**2 + 3. Suppose 0 = 4*p + 16 - 0. Let o be j(p). Solve -4*y**3 - y**2 + o*y**2 + 0*y**3 + 2*y**3 = 0 for y.
0, 1
Let s(d) be the second derivative of d**5/4 - 35*d**3/2 - 50*d**2 + 2*d - 83. Factor s(z).
5*(z - 5)*(z + 1)*(z + 4)
Suppose -28/3*f - 12*f**2 + 8/3 = 0. Calculate f.
-1, 2/9
Factor 35*d**3 - 8*d**5 + 11*d**5 + 40*d**4 + 12*d**5 + 10*d**2.
5*d**2*(d + 1)**2*(3*d + 2)
Let q(k) be the second derivative of 2/5*k**2 + 26/15*k**3 + 0 - 10*k + 169/60*k**4. Find o such that q(o) = 0.
-2/13
Let z(b) = 14*b**3 - 25*b**2 - 203*b + 225. Let s(v) = -3*v**3 + 5*v**2 + 41*v - 45. Let f(h) = 11*s(h) + 2*z(h). Factor f(r).
-5*(r - 3)*(r - 1)*(r + 3)
Solve -36/7 - 24/7*l - 3/7*l**2 = 0 for l.
-6, -2
Let o(z) = -12*z**4 + 944*z**3 - 17924*z**2 + 11576*z - 12. Let c(p) = -2*p**3 - p**2 - 2*p + 1. Let l(u) = 12*c(u) + o(u). Suppose l(i) = 0. What is i?
0, 2/3, 38
Let j = 2/223 + 1999/892. Determine a, given that j*a**3 + 9/4*a**2 + 0 + 3/4*a + 3/4*a**4 = 0.
-1, 0
Let c = -419 + 423. Let b(t) be the third derivative of 0 + 0*t + 1/180*t**6 - 7*t**2 - 1/36*t**c + 0*t**3 + 1/180*t**5 - 1/630*t**7. Factor b(v).
-v*(v - 2)*(v - 1)*(v + 1)/3
Let d be 15/(-2)*(297/(-30))/33. Factor 3/4 - 9/4*x + d*x**2 - 3/4*x**3.
-3*(x - 1)**3/4
Let s(g) be the second derivative of 0 + 0*g**2 - 1/120*g**6 - 1/3*g**3 + g + 1/40*g**5 + 0*g**4. Let t(x) be the second derivative of s(x). Solve t(c) = 0.
0, 1
Let j(t) be the second derivative of -t**4/9 + 4*t**3/9 - 2*t**2/3 + 52*t. Suppose j(w) = 0. What is w?
1
Find g, given that -36*g**2 + 44 + 40 + 4*g**3 - 4*g**2 - 84 = 0.
0, 10
Let i(m) be the second derivative of m**7/13860 - m**5/165 - 4*m**4/3 - 7*m. Let h(a) be the third derivative of i(a). Solve h(q) = 0.
-2, 2
Let s = 2/113 + 331/452. Suppose -3/2 + 3/4*z + s*z**2 = 0. What is z?
-2, 1
Let j(d) be the third derivative of -d**5/360 - d**4/12 + 13*d**3/36 - 15*d**2 - 1. Factor j(p).
-(p - 1)*(p + 13)/6
Let y(z) = -96*z**3 + 192*z**2 + 1290*z + 1113. Let g(m) = 12*m**3 - 24*m**2 - 161*m - 139. Let f(s) = -33*g(s) - 4*y(s). Factor f(a).
-3*(a - 5)*(2*a + 3)**2
Let s be (-3)/36*-3 + (-1310)/(-40). Suppose 3*u - s*u + 90 = 0. Factor 18/11*k**2 + 0*k + 2/11*k**4 + 0 + 12/11*k**u.
2*k**2*(k + 3)**2/11
Let 2*u**2 + 107*u**2 + 12*u**2 - 83 + 616*u + 867 = 0. What is u?
-28/11
Suppose -14*o = 697 - 725. Suppose 0 - 68/3*p**4 - 8*p**3 - 20/3*p**5 + 32/3*p + 80/3*p**o = 0. What is p?
-2, -2/5, 0, 1
Let c(o) = 4*o**2 - 60*o + 59. Let i be c(1). Find g, given that 25/3 + 46/3*g**2 + 4*g**i + 1/3*g**4 + 20*g = 0.
-5, -1
Suppose -2*d + 2*t = 4, 41*d - 3*t + 6 = 40*d. Determine w, given that -2*w**2 + 1/3*w**3 + d + 5/3*w = 0.
0, 1, 5
Let x(n) = n**2 + 2*n - 2. Let k(u) = 4*u**3 - 102*u**2 + 