3 + 1/30*j**5 - 2*j + 7*j**2 + 5/32*j**4. Factor u(c).
-(c + 1)*(4*c - 3)**2/4
Let y(j) = -4*j**2 - 4*j + 9. Suppose m = -5*x + 3, 27 = 3*m - x - 2*x. Let v(i) = -7 + 4*i + 11*i**2 - 1 - m*i**2. Let f(p) = -5*v(p) - 4*y(p). Solve f(n) = 0.
2
Let a be (3*(-4)/(-18))/((-14)/21). Let t be (-8 + 7)*2*a. Factor 239*s**t + 25*s**2 - 123*s - 44*s**3 + 15 - 4*s**3.
-3*(s - 5)*(4*s - 1)**2
Let g(f) be the third derivative of 0*f**4 + 0 + 33*f**2 + 0*f - 1/1176*f**8 + 1/210*f**6 + 0*f**5 + 1/735*f**7 + 0*f**3. Factor g(j).
-2*j**3*(j - 2)*(j + 1)/7
Let h(a) = 31*a**2 - 84*a - 34. Let q(n) = -61*n**2 + 169*n + 69. Let m(s) = -s**2 - 9*s + 47. Let p be m(-12). Let f(x) = p*h(x) + 6*q(x). Factor f(o).
-5*(o - 4)*(5*o + 2)
Suppose 0 = -5*n - w + 6 - 1, 4*n + w = 3. Factor 1/7*i**n - 8/7 - 2/7*i.
(i - 4)*(i + 2)/7
Suppose 4*w - 94 = -z - 31, 3*z = -4*w + 69. Suppose -w + 19 = l. Factor -l*t + 0*t**2 + 10*t**2 + 2*t**2 - 8.
4*(t - 1)*(3*t + 2)
Determine m, given that 544*m + 2/3*m**2 - 1634/3 = 0.
-817, 1
Let l(q) = 2 - 4*q**2 - 5*q**3 + 5*q + 4*q**2 + 0*q**2 - 6*q**2 - 3*q**4. Let g(o) = o**4 + 2*o**3 + 3*o**2 - 2*o - 1. Let p(z) = 7*g(z) + 3*l(z). Factor p(m).
-(m - 1)*(m + 1)**2*(2*m - 1)
Let t(d) = -d**3 + d**2 - d + 1. Let s(f) = 7*f**3 + f**2 + 3*f - 3. Let p = 67 + -70. Let l(q) = p*t(q) - s(q). Factor l(r).
-4*r**2*(r + 1)
Let x(z) be the first derivative of -z**5/25 + 7*z**4/10 - 11*z**3/5 - 22*z**2 + 160*z + 769. Factor x(f).
-(f - 8)*(f - 5)**2*(f + 4)/5
Let r = 114 + -104. Suppose -r + 14 = 2*a. Let -64*s**a + 5*s**3 - 39 - s**2 - 1 + 85*s + 15*s**2 = 0. Calculate s.
1, 8
Let j(u) be the first derivative of u**4/26 + 1712*u**3/39 + 183184*u**2/13 - 8626. Find y, given that j(y) = 0.
-428, 0
Let m(p) be the second derivative of -34*p - 33/16*p**2 - 1/32*p**4 + 0 - 3/4*p**3. Find c such that m(c) = 0.
-11, -1
Solve -106*k**4 + 611*k + 168 - 7*k**5 + k**5 - k**3 - 329*k**3 - 62*k**2 + 16*k**3 - 291*k = 0.
-14, -3, -1, -2/3, 1
Suppose s - 304 - 5996 = 4*a, -2*a + 5*s = 3132. Let q = -1572 - a. Find h, given that 0 - 1/3*h + 7/6*h**3 - h**q + 1/6*h**2 = 0.
-1/2, 0, 2/3, 1
Find c such that 1457*c**2 + 256 + 38*c**5 - 220*c**4 - 2568*c + 2530*c**3 - 185*c**2 - 1076*c**4 - 232*c**2 = 0.
-1, 2/19, 1, 2, 32
Let p(l) = 6*l**2 + 60*l - 8. Let b be p(-10). Let a be (0 + -1)*(4 + (-12 - b)). Factor a - 3/8*x**2 - 3/4*x.
-3*x*(x + 2)/8
Let l(m) be the third derivative of m**7/10 - 11*m**6/32 - 3*m**5/8 + 55*m**4/32 + m**3/4 - 1006*m**2. Find o such that l(o) = 0.
-1, -1/28, 1, 2
Determine n so that -93*n - 1606 + 0*n**2 + 1696 + 2*n**2 + 2*n**2 - n**2 = 0.
1, 30
Let r(f) = -6*f**3 - 1156*f**2 + 468*f + 16. Let z(g) = -19*g**3 - 3468*g**2 + 1403*g + 44. Let q(n) = -11*r(n) + 4*z(n). Factor q(l).
-2*l*(l + 116)*(5*l - 2)
Let c(a) = -a**2 - 18*a - 60. Let g be c(-13). Factor -65*s**2 - 41*s**2 + s - g*s.
-2*s*(53*s + 2)
Let x(h) be the first derivative of 3/14*h**2 + 6 + 3/35*h**5 + 9/28*h**4 + 3/7*h**3 + 0*h. Factor x(v).
3*v*(v + 1)**3/7
Let j = 3040 + -4344. Let p = 1307 + j. Factor 0*o**p + 0 + 1/8*o**5 - 1/8*o - 1/4*o**2 + 1/4*o**4.
o*(o - 1)*(o + 1)**3/8
Let c(w) be the first derivative of -5/2*w**4 + 268 + 11*w**3 + 16*w - 20*w**2 + 1/5*w**5. Let c(z) = 0. What is z?
1, 4
Let h(d) be the first derivative of d**3/3 + 1058*d**2 + 1119364*d + 4650. Let h(y) = 0. What is y?
-1058
Let q(u) be the second derivative of 46*u**3 - 93/2*u**2 - 2 + 58*u + 3/4*u**4. Factor q(t).
3*(t + 31)*(3*t - 1)
Suppose -3*q + 427 = 4*s, -2*q = -11*s + 7*s + 402. Factor -92*h**2 - s*h**2 + 185*h**2 + 25*h.
-5*h*(2*h - 5)
Let f(c) be the first derivative of c**5/160 + 7*c**4/32 + 5*c**3/12 + 287*c + 146. Let h(l) be the first derivative of f(l). Factor h(n).
n*(n + 1)*(n + 20)/8
Let p be 15/24*(-50)/(-375). Let m(l) be the second derivative of 0 - p*l**3 - 1/48*l**4 - 31*l - 1/8*l**2. Factor m(r).
-(r + 1)**2/4
Determine q so that 486*q**3 - 1851*q**3 + 873*q**2 - 1098*q**2 - 5*q**4 + 2975*q**2 = 0.
-275, 0, 2
Let k(m) be the second derivative of -5*m**6/6 - m**5/2 + 527*m - 3. Factor k(h).
-5*h**3*(5*h + 2)
Let j(r) be the second derivative of 6/35*r**5 + 0 + 1/105*r**6 - 99*r + 23/21*r**4 + 25/7*r**2 + 20/7*r**3. Factor j(g).
2*(g + 1)**2*(g + 5)**2/7
Let b(v) be the first derivative of -2*v**3/57 - 1592*v**2/19 - 3182*v/19 + 1724. Factor b(x).
-2*(x + 1)*(x + 1591)/19
Let j = 46 + -46. Suppose 3*w = -k + 20, 4*w + 5 = -j*w + 5*k. Factor -2 + 2 + 5*h**4 - 13*h**w + 20*h**5 - 2*h**3.
h**3*(h + 1)*(7*h - 2)
Let c be 10384/(-2832) + (-97)/(-15). What is y in 2/5*y**5 + c*y**3 + 0*y + 0 - 6/5*y**2 - 2*y**4 = 0?
0, 1, 3
Let p(b) be the first derivative of 376 + 2*b**3 - 36*b + 12*b**2 - 153 - 3*b**3 + 0*b**3. Factor p(j).
-3*(j - 6)*(j - 2)
Suppose 4*a - 14 = -3*j, 4*a = 6*a + j - 6. Suppose -4*y + 9 + 2 = s, a*s = -y - 6. Factor 4/9*p**3 + 1/3*p**y + 0*p + 1/9*p**2 + 0.
p**2*(p + 1)*(3*p + 1)/9
Let -119*m + 9771*m**5 - 39 + 54*m**4 - 9768*m**5 - 123 - 322*m - 18*m**3 - 348*m**2 = 0. What is m?
-18, -1, 3
Suppose 4*n - 69 = -o, -2*o + 3 = -7. Suppose 18 + 126 = n*k. Factor k + 65/2*p + 7/2*p**2.
(p + 9)*(7*p + 2)/2
Suppose 0 = -70*q + 71*q - 2. Factor -16*g**2 - 12*g**2 + 31*g**q + 49*g - 28*g.
3*g*(g + 7)
Let z(t) be the second derivative of -t**4/10 - 94*t**3/5 - 819*t**2/5 + 29*t - 7. Suppose z(f) = 0. Calculate f.
-91, -3
Let r(q) be the second derivative of 4*q**7/21 + 34*q**6/15 + 6*q**5/5 - 17*q**4/3 - 16*q**3/3 + 30*q + 2. Let r(d) = 0. Calculate d.
-8, -1, -1/2, 0, 1
Let i = -5706 - -5706. Let q(z) be the third derivative of 0 + 0*z**4 - 1/560*z**8 + 0*z**7 + 0*z**3 + i*z + 15*z**2 + 1/200*z**6 + 0*z**5. Factor q(u).
-3*u**3*(u - 1)*(u + 1)/5
Let c(b) be the second derivative of -3*b**5/100 + 7*b**3/10 - 9*b**2/5 - 63*b - 2. Solve c(g) = 0 for g.
-3, 1, 2
Let b(w) = 3*w - 4. Let p be b(2). Suppose 3*i = 7 + p. Factor 4/3 - 1/6*o**i + o**2 + 5/2*o.
-(o - 8)*(o + 1)**2/6
Let q(u) = 10*u**3 - 16095*u**2 - 95665*u - 142995. Let r(j) = -j**3 + 2012*j**2 + 11958*j + 17874. Let n(l) = -3*q(l) - 25*r(l). Solve n(m) = 0 for m.
-397, -3
Factor 13991*a + 37*a**2 - 13 - 6983*a - 3*a**3 - 6981*a.
-(a - 13)*(a + 1)*(3*a - 1)
Suppose -6*s = 4*t - s + 9, 3*s - 1 = -4*t. Factor -35*h**3 - 80 + 10*h**t + 83*h + 18*h + 24*h - 30*h**2 + 10.
5*(h - 1)**2*(h + 2)*(2*h - 7)
Suppose -2*q + 5*t - 20 = 0, -37*q + 33*q - 2*t + 8 = 0. Let p(g) be the first derivative of -2*g**4 - 4/5*g**5 + q*g + 16*g**2 + 16/3*g**3 + 21. Factor p(z).
-4*z*(z - 2)*(z + 2)**2
Suppose 25429*p + 230 = 25544*p. What is a in 14/15*a + 2/15*a**5 + 0*a**4 - 4/5 - 16/15*a**3 + 4/5*a**p = 0?
-3, -1, 1, 2
Let d(n) be the third derivative of -n**3 - 275*n**2 + 0 + 1/80*n**6 + 9/16*n**4 + 0*n - 3/20*n**5. Factor d(l).
3*(l - 4)*(l - 1)**2/2
Let z(i) be the third derivative of i**8/840 - 13*i**7/525 + 11*i**6/300 + 13*i**5/150 - i**4/5 + 4*i**2 - 245*i. Suppose z(u) = 0. What is u?
-1, 0, 1, 12
Determine h, given that 20*h + 4/5*h**4 + 204/5*h**2 + 0 + 108/5*h**3 = 0.
-25, -1, 0
Let d(n) be the second derivative of 0 + 3/40*n**5 - 1/60*n**6 + 139*n - 1/24*n**4 + 1/2*n**2 - 1/4*n**3. What is m in d(m) = 0?
-1, 1, 2
Let s be 2/(-22) + 79/869 - (-2)/8. Suppose 1/2*f + 0 - s*f**3 - 1/4*f**2 = 0. Calculate f.
-2, 0, 1
Let y(n) = -n**3 - 19*n**2 - 55*n - 5. Let g(i) = 2*i**3 + 18*i**2 + 60*i + 4. Let a(s) = 4*g(s) + 5*y(s). Find q such that a(q) = 0.
-1, -1/3, 9
Suppose 4*j - 25 = -j. Suppose -j*n + 1695 = 5*a, a = -2*n + 3*n - 349. Let 356 - n + 12*q + 8*q - 8*q**2 = 0. What is q?
-1/2, 3
Let c = 402/845 - 2732/9295. Factor 16/11*s**2 + 2/11*s**3 - c*s - 16/11.
2*(s - 1)*(s + 1)*(s + 8)/11
Let g(m) be the first derivative of 2*m**5/15 - 53*m**4/3 + 208*m**3/9 + 106*m**2/3 - 70*m + 471. Suppose g(t) = 0. Calculate t.
-1, 1, 105
Find c such that -28/5*c**2 + 72 + 2/5*c**3 - 54/5*c = 0.
-4, 3, 15
Let z(j) be the second derivative of -j**6/90 - j**5/6 + 8*j**3 - 115*j. Let k(a) be the second derivative of z(a). Factor k(c).
-4*c*(c + 5)
Let i(d) be the first derivative of -3*d**4/5 - 316*d**3/15 - 40*d**2 + 5196. Determine z, given that i(z) = 0.
-25, -4/3, 0
Let i(x) be the first derivative of 5/4*x**4 + 0*x**2 + 0*x - 37 - 20/3*x**3. Factor i(p).
5*p**2*(p - 4)
Let q(w) be the first derivative of -w**6/540 + 4*w**5/135 - 4*w**4/27 - w**