 1)**2*(3*f + 1)**2/2
Let m(p) be the second derivative of -1/3*p**4 + 0 - 2/15*p**5 - 11*p - 1/3*p**2 - 1/45*p**6 - 4/9*p**3. Determine h, given that m(h) = 0.
-1
Let u(c) = -c. Suppose 0*j - j = -f - 30, -2*j = -3*f - 57. Let k(g) = -2 - 5 - 27*g - j*g**2 + 2 - 1. Let w(q) = -k(q) - 12*u(q). Solve w(b) = 0.
-1, -2/11
Factor 0*f + 0 + 16/3*f**2 + 164/3*f**3.
4*f**2*(41*f + 4)/3
Let x(q) be the second derivative of 11*q + 4/3*q**3 + 1/2*q**2 + 11/6*q**4 + 3/10*q**6 + 6/5*q**5 + 0. Suppose x(g) = 0. Calculate g.
-1, -1/3
Let l(h) be the third derivative of -1/18*h**4 + 0*h + 0 - 1/9*h**3 + 27*h**2 + 0*h**5 + 1/90*h**6 + 1/315*h**7. Factor l(u).
2*(u - 1)*(u + 1)**3/3
Let z = 11 - 17. Let l = z - -8. Factor 0 + 0 + 6*y**3 - 4*y**3 - 4*y - 2*y**l.
2*y*(y - 2)*(y + 1)
Let b(u) be the third derivative of 2*u**7/945 + u**6/30 + 2*u**5/9 + 22*u**4/27 + 16*u**3/9 - 3*u**2 - 46. Suppose b(x) = 0. Calculate x.
-3, -2
Let l = 2169/11990 + 1/1090. Factor 0 - 2/11*q**3 + 0*q + l*q**2.
-2*q**2*(q - 1)/11
Factor 12 + 165/7*a - 3/7*a**3 + 78/7*a**2.
-3*(a - 28)*(a + 1)**2/7
Let u(c) be the third derivative of c**5/180 + 3*c**4/4 + 140*c**2. Factor u(s).
s*(s + 54)/3
Let l(o) be the second derivative of -o**4/30 - 19*o**3/15 - 34*o**2/5 - 248*o. Factor l(a).
-2*(a + 2)*(a + 17)/5
Let v(i) = -3*i**3 + 45*i**2 + 79*i + 36. Let x(y) = 2*y**3 - 23*y**2 - 40*y - 18. Let t(u) = 6*v(u) + 10*x(u). Factor t(s).
2*(s + 1)**2*(s + 18)
Let g(u) be the third derivative of -9*u**2 + 1/490*u**7 + 3/35*u**5 + 0 + 3/140*u**6 + 0*u + 5/28*u**4 + 3/14*u**3. Suppose g(p) = 0. What is p?
-3, -1
Factor 2/3*n**4 + 0 + 4*n + 8/3*n**3 - 22/3*n**2.
2*n*(n - 1)**2*(n + 6)/3
Let t be (3 + -1)/(-6)*-18. Let y(k) = 27*k - t + 17 - 11*k**2 - 6. Let q(o) = 56*o**2 - 134*o - 26. Let w(h) = -3*q(h) - 14*y(h). Determine r so that w(r) = 0.
-2/7, 2
Let z(x) be the first derivative of 2*x**5/9 - 4*x**4/9 + 2*x**3/9 - 62. Factor z(q).
2*q**2*(q - 1)*(5*q - 3)/9
Let t(o) = -15*o**4 - 94*o**3 + 866*o**2 - 675*o - 1609. Let x(m) = 5*m**4 + 31*m**3 - 289*m**2 + 225*m + 536. Let l(q) = 4*t(q) + 11*x(q). Factor l(y).
-5*(y - 3)**2*(y + 1)*(y + 12)
Let a = 25 - 4. Suppose 4*k - a = -3*r, 0*r - 4*k + 15 = r. Factor -3*x + 9*x + 20*x**3 - 41*x**3 - 3*x**2 + 18*x**r.
-3*x*(x - 1)*(x + 2)
Let n(f) = -13*f**2 - 182*f - 8657. Let p(r) = -29*r**2 - 363*r - 17316. Let v(u) = -9*n(u) + 4*p(u). Factor v(z).
(z + 93)**2
Let x(f) be the second derivative of f**7/840 + 5*f**3/3 - 15*f. Let g(y) be the second derivative of x(y). Solve g(r) = 0 for r.
0
Suppose -9*p + 57 = 30. Let b(l) be the first derivative of -1/12*l**3 + 1/16*l**4 - 1/8*l**2 + 1/4*l - p. Factor b(w).
(w - 1)**2*(w + 1)/4
Let v(z) be the second derivative of z**7/21 - 7*z**6/30 + 3*z**5/10 + z**4/12 - z**3/3 + 576*z. Factor v(y).
y*(y - 2)*(y - 1)**2*(2*y + 1)
Factor 23/4*m**5 - 47/2*m**4 - 2*m**2 + 0 + 0*m + 25*m**3.
m**2*(m - 2)**2*(23*m - 2)/4
Factor -162*k - 261 + k**2 + 2*k**2 + 2990 - 542.
3*(k - 27)**2
Let s(y) = -37*y**3 - 250*y**2 - 217*y + 83. Let w(k) = -12*k**3 - 84*k**2 - 72*k + 28. Let i(a) = -4*s(a) + 11*w(a). Factor i(j).
4*(j + 2)*(j + 3)*(4*j - 1)
Factor -26/3 + 2/3*v**2 + 8*v.
2*(v - 1)*(v + 13)/3
Let s(g) = -7*g**2 - 10*g - 8. Let m(f) be the third derivative of f**5/15 + 5*f**4/24 + 2*f**3/3 + 8*f**2. Let p(j) = -10*m(j) - 6*s(j). Solve p(t) = 0 for t.
-4, -1
Let v be (-4)/1 - 13851/252. Let i = 460/7 + v. Factor 21/4*n**2 + i - 3/4*n**3 - 45/4*n.
-3*(n - 3)**2*(n - 1)/4
Let s = 19362 + 72380. Let h = 368843/4 - s. Factor h*z**4 - 375*z**3 + 225/2*z**2 - 15*z + 3/4.
3*(5*z - 1)**4/4
Let q be (-1 - 0)/((-2)/4). Suppose 2*a + q*u = 24, -17 = -5*a + 2*u + 8. Find h, given that 7*h + 18*h**2 + 12*h**3 - 5*h + a*h + 3 + 3*h + 3*h**4 = 0.
-1
Solve 2/3*d**2 - 104/9 - 2/9*d = 0 for d.
-4, 13/3
Let o = -82 - -94. Let y be (1/12)/((6/o)/1). Determine z so that 2/3*z - y - 1/2*z**2 = 0.
1/3, 1
Let i = 124 - 120. What is q in -6*q**4 - 4*q**3 - 2*q**4 + q**2 + 7*q**i + 4*q**2 = 0?
-5, 0, 1
Let r(l) be the first derivative of 29 + 0*l - 3/7*l**3 + 3/28*l**4 + 9/35*l**5 - 3/14*l**2. What is p in r(p) = 0?
-1, -1/3, 0, 1
Let l(x) be the third derivative of x**6/240 + x**5/20 - 21*x**2 + 2*x. Solve l(t) = 0.
-6, 0
Suppose 3*m - 5*l = 133, -3*m - 3*l = -2*l - 139. Let v be (-106)/(-34) - m/391. Factor -2/3*x**4 - 2/3*x + 0 + 2/3*x**v + 2/3*x**2.
-2*x*(x - 1)**2*(x + 1)/3
Let u(l) be the third derivative of -l**5/30 + 7*l**4/6 - 13*l**3/3 + 22*l**2 - 1. Suppose u(q) = 0. What is q?
1, 13
Suppose 0 - 7/8*b**3 + 0*b**4 - 3/4*b**2 + 0*b + 1/8*b**5 = 0. What is b?
-2, -1, 0, 3
Let j be (-2)/(-4 - 4) - (-417)/(-4). Let k be 8/(-10)*195/j. Factor 0 - 3/4*x**2 - k*x.
-3*x*(x + 2)/4
Let c(w) = w + 3. Let r be c(4). Suppose -r*g + 0*g = -161. Factor -4*m - 53*m**2 + 34*m**2 + g*m**2.
4*m*(m - 1)
Let o(y) = 99*y - 297. Let k be o(3). Solve 0*t - 2*t**3 + 4/3*t**2 + k*t**4 + 0 + 2/3*t**5 = 0.
-2, 0, 1
Let p(h) be the first derivative of 20 - h**2 - 2/21*h**3 + 0*h. Factor p(b).
-2*b*(b + 7)/7
Suppose 2*h + x - 5 = 0, -4*h + 323 = 5*x + 310. Find a such that 0 + 1/6*a**3 + 2/3*a**h + 1/2*a = 0.
-3, -1, 0
Let j(p) be the second derivative of -p**9/3780 + p**8/840 - p**7/630 - p**4/6 + 15*p. Let w(v) be the third derivative of j(v). Let w(o) = 0. Calculate o.
0, 1
Let y(f) be the first derivative of -f**3 - 87*f**2 + 177*f - 365. Suppose y(k) = 0. Calculate k.
-59, 1
Suppose 0 = 6*n - 3*n. Let f = 14 + -11. Find c such that n*c**3 + 3*c**3 + 0*c**f - 6*c**3 + 3*c**4 = 0.
0, 1
Let c(u) be the first derivative of -u**7/252 - u**6/240 + u**5/180 + 5*u**2/2 - 13. Let l(k) be the second derivative of c(k). Solve l(h) = 0 for h.
-1, 0, 2/5
Let p be (-12 - -3) + -2 + (7 - 8). Let i = p - -12. Suppose i*f + 3/2*f**3 - 1/2*f**2 + 1/2*f**5 + 0 - 3/2*f**4 = 0. What is f?
0, 1
Let x(b) = -b. Let a be x(-2). Let m = -16 + 21. Factor -6*v**4 - m*v + v + 6*v**a + 2*v**5 + v**3 + v**3.
2*v*(v - 2)*(v - 1)**2*(v + 1)
Let q = -78 + 99. Factor -4*a**3 + 12 + 7*a**2 + 4*a - q - 6*a + 8.
-(a - 1)**2*(4*a + 1)
Determine c so that -2*c**3 + 1/2*c**4 + 5/2*c**2 + 0 - c = 0.
0, 1, 2
Let p = -59730 - -3285652/55. Let a = -96/11 + p. Determine j, given that -a*j**2 + 0 + 2/5*j = 0.
0, 1
Let j(l) be the first derivative of 0*l - 1/5*l**2 - 2/3*l**3 - 16. Factor j(y).
-2*y*(5*y + 1)/5
Let l be -14*-12*3/14. Let g = l + -34. Determine t so that -2*t**g - 2 - t**5 + 5*t + 4*t**4 - 3*t**4 - 19*t**3 + 3*t**4 + 15*t**3 = 0.
-1, 1, 2
Suppose -54/5 - 24/5*z - 2/5*z**2 = 0. Calculate z.
-9, -3
Let m = 1822 - 7285/4. Factor 3/4*x**4 + 6 - 3*x - 9/2*x**2 + m*x**3.
3*(x - 2)*(x - 1)*(x + 2)**2/4
Let b(z) be the first derivative of -15*z**4/16 + 35*z**3/12 - 5*z - 70. Suppose b(r) = 0. What is r?
-2/3, 1, 2
What is k in 132/23*k**3 - 30/23 + 122/23*k + 2/23*k**5 - 38/23*k**4 - 188/23*k**2 = 0?
1, 15
Factor -92*p**2 - p**3 + 163*p**2 - 102*p**2 + 19*p - 81 - 130*p.
-(p + 1)*(p + 3)*(p + 27)
Let n = 48 + -8. Factor -2*z**2 + 2 - n*z + 44*z + 4*z**2.
2*(z + 1)**2
Let s(a) be the first derivative of -2 + 0*a - 2/15*a**3 + a**2. Factor s(t).
-2*t*(t - 5)/5
Find m, given that 7/5*m**3 + 2 - 7/5*m - 2*m**2 = 0.
-1, 1, 10/7
Let d(w) = -3*w**3 + 47*w**2 + 106*w - 5. Let i(u) = 15*u**3 - 234*u**2 - 528*u + 24. Let r(g) = 24*d(g) + 5*i(g). Factor r(t).
3*t*(t - 16)*(t + 2)
Determine k, given that 12*k**2 + 4*k**3 + 60*k + 23*k**2 + 5*k**3 - 4*k**3 = 0.
-4, -3, 0
Let x(h) be the second derivative of h**3/6 + h**2/2 + 6*h. Let i(g) = -g**2 + 4*g + 6. Let c(k) = i(k) - 6*x(k). Factor c(m).
-m*(m + 2)
Let x(m) = 2*m**2 + 3*m - 5. Let y = 571 + -575. Let q be ((-14)/(-8))/((-2)/8). Let d(n) = -4*n**2 - 5*n + 9. Let a(c) = q*x(c) + y*d(c). Factor a(w).
(w - 1)*(2*w + 1)
Let j(t) = -173*t**3 - 132*t**2 - 31*t - 2. Let l(m) = 174*m**3 + 132*m**2 + 31*m + 2. Let s(q) = -3*j(q) - 2*l(q). Suppose s(h) = 0. Calculate h.
-1/3, -2/19
Let k(v) = 16*v - 1070. Let m be k(67). Determine w, given that 0*w + 4/3*w**m + 1/3*w**4 + 0 + 4/3*w**3 = 0.
-2, 0
Solve -65*z**4 - 20*z**4 - 36*z**3 + 82*z**4 = 0 for z.
-12, 0
Factor 128/11*v - 2/11*v**2 - 2048/11.
-2*(v - 32)**2/11
Find c such that 22/3*c + 4*c**2 + 2/3*c**3 + 4 = 0.
-3, -2, -1
Let j be (-9)/(-21) - (-135)/105. Factor -j*v + 0 - 4/7*v**2.
-4*v*(v + 3)/7
Suppose 15*h**2 