 (6 - 2)*12/3060*17. Factor 4/15*m**2 - 2/15*m**3 + 2/15*m - b.
-2*(m - 2)*(m - 1)*(m + 1)/15
Let b(c) be the second derivative of -c**6/45 + 26*c**5/15 - 169*c**4/3 + 8788*c**3/9 - 28561*c**2/3 + 9*c + 8. Let b(y) = 0. What is y?
13
Suppose -35*x = -55*x + 120. Let a(l) be the first derivative of 1/25*l**5 - x + 2/5*l**3 + 2/5*l**2 + 1/5*l**4 + 1/5*l. Factor a(d).
(d + 1)**4/5
Let c be 3/(-45) - 16/(-40)*21/14. Determine s, given that 0 - 16/15*s**2 + 4/15*s**4 + c*s - 2/15*s**5 + 2/5*s**3 = 0.
-2, 0, 1, 2
Let a(c) be the first derivative of -c**4/16 + c**3/3 - c**2/2 + 18. Find t such that a(t) = 0.
0, 2
Solve 3*a - 14*a**3 + 9*a + 24*a + 6*a**4 + 2*a**5 - 31*a**2 + a**2 = 0 for a.
-3, 0, 1, 2
What is d in 0 - 4/3*d - 22/3*d**2 + 4*d**3 = 0?
-1/6, 0, 2
Let r(b) be the third derivative of b**8/1680 - b**7/840 - b**6/360 + b**5/120 + 2*b**3/3 - 11*b**2. Let f(n) be the first derivative of r(n). Factor f(o).
o*(o - 1)**2*(o + 1)
Let h = 150 - 145. Let i(t) be the third derivative of 0 - 2/75*t**h + 11*t**2 + 1/60*t**4 + 0*t + 0*t**3. Factor i(w).
-2*w*(4*w - 1)/5
Let a(w) = -38*w - 644. Let f be a(-17). Factor -4/5 + 12/5*r + 7/5*r**f.
(r + 2)*(7*r - 2)/5
Let f(q) be the first derivative of 2/9*q**3 + 4/3*q**2 + 18 + 8/3*q. Factor f(v).
2*(v + 2)**2/3
Factor -1/2*z**2 + 9/2*z - 9.
-(z - 6)*(z - 3)/2
Let a(v) = -305*v + 2. Let n be a(0). Let 3/4*q**3 - 3/4*q + 3/2 - 3/2*q**n = 0. What is q?
-1, 1, 2
Let o(n) = -5*n + 62. Let d be o(11). Let b(f) be the third derivative of 0 - 1/525*f**d + f**2 + 0*f**3 + 0*f**6 + 0*f**5 + 0*f**4 + 0*f. Factor b(a).
-2*a**4/5
Let a be -1*(-2)/3 - 832/(-48). Factor -6*u**2 + 28 - 6*u**2 - a*u + 14*u**2.
2*(u - 7)*(u - 2)
Suppose 7*j - 6*j - 81 = 0. Let w = j + -78. Find a, given that 1/2 + a**2 + 2*a - 2*a**w - 3/2*a**4 = 0.
-1, -1/3, 1
Let i(l) be the first derivative of 4*l**3/3 - 8*l**2 + 12*l + 223. Factor i(w).
4*(w - 3)*(w - 1)
Suppose 4 = 4*s - 2*s. Suppose -3*l**2 + 9 - 12 + s - 7*l - 1 = 0. What is l?
-2, -1/3
Suppose -5*u - 2 = -7*u. Let j be (4 - 1 - 1) + u. Factor r**j + 2 - 2*r**2 + 0*r + 0*r**2 + r**3 - 2*r.
2*(r - 1)**2*(r + 1)
Suppose 5*l + 2*d - 24 = 3, 4*l - 2*d - 18 = 0. Let 27*n**2 + l + 0 - 5*n**2 - 2*n**2 + 25*n = 0. Calculate n.
-1, -1/4
Suppose -5 = -19*q + 52. Factor 1/10*g - 1/10*g**2 + 1/10 - 1/10*g**q.
-(g - 1)*(g + 1)**2/10
Let v(s) be the third derivative of -1/6*s**3 + 7/120*s**6 - 7/48*s**4 - 1/96*s**8 + 6*s**2 + 0 + 1/30*s**5 + 0*s - 1/210*s**7. Let v(z) = 0. What is z?
-1, -2/7, 1
Suppose -1/5*s**2 - 49/5 + 14/5*s = 0. Calculate s.
7
Suppose -3*z = 4*b - 1, 0 = -z - 0*b + b + 5. Let d = -2/1067 + 1071/2134. Let -j**2 + 0*j + 1/2*j**4 + 0 + d*j**z = 0. What is j?
-2, 0, 1
Suppose -4*c = -0 - 4, 4*d = -5*c + 13. Factor -4*b**4 - 50*b**3 + 1200 - 172*b**d + 172 - 332*b**2 - 30*b**3 - 784*b.
-4*(b - 1)*(b + 7)**3
Let r(x) be the third derivative of -x**8/6720 + x**7/720 - x**6/360 + 2*x**5/15 + 10*x**2. Let a(z) be the third derivative of r(z). Factor a(f).
-(f - 2)*(3*f - 1)
Let j = -1369/30 - -234/5. Suppose j*p + 1/6*p**2 + 0 = 0. Calculate p.
-7, 0
Let r = 18481/5 + -3641. Let s = r + -55. Solve -s*x**2 + 0*x + 1/5 = 0.
-1, 1
Let y(p) = -p**3 + 6*p**2 - 6*p + 7. Let d be y(5). Factor -4*w**3 - 8*w**d + 9554 - 9554.
-4*w**2*(w + 2)
Determine w so that 17/5*w**2 - 38/5*w + 0 + 1/5*w**3 = 0.
-19, 0, 2
Let a(w) be the second derivative of w**7/168 - 3*w**6/40 + 27*w**5/80 - 31*w**4/48 + w**3/2 - 3*w - 99. Factor a(f).
f*(f - 4)*(f - 3)*(f - 1)**2/4
Let p = 31 - 27. Suppose 2*m = j + 1, -3 = j - 2*j. Factor -16*y**4 - p*y**5 - 7*y**2 - 3*y**5 - 2*y**3 - m*y**3 + 2 + 11*y + 21*y**2.
-(y - 1)*(y + 1)**3*(7*y + 2)
Suppose -3*h = h - 12, 2 = -2*q + 2*h. Suppose -16*j**3 - 4*j**4 + 9*j + 10 - j**2 - 11*j**q + 6 + 7*j = 0. What is j?
-2, -1, 1
Let d(u) be the second derivative of u**4/24 + 5*u**3/12 + u**2 - 83*u. Find c, given that d(c) = 0.
-4, -1
Let r(k) = -55*k**2 - 880*k. Let l be r(-16). Factor -4/11*i**2 + 4/11*i**4 + 2/11*i - 2/11*i**5 + l*i**3 + 0.
-2*i*(i - 1)**3*(i + 1)/11
Let p(y) be the third derivative of -y**6/360 + y**5/60 - 5*y**2 - y. Factor p(b).
-b**2*(b - 3)/3
Let i(s) be the first derivative of -s**4/2 - 58*s**3/3 + 70. Suppose i(j) = 0. Calculate j.
-29, 0
Factor 0 + 11/8*l**3 + 3/4*l - 17/8*l**2 - 1/4*l**4.
-l*(l - 3)*(l - 2)*(2*l - 1)/8
Suppose -o - 4*w + 88 = 0, 4*w + 452 = -3*o + 7*o. Let t be o/(-30) - -4 - 4/(-10). Factor t - 2/5*u - 2/5*u**2.
-2*(u - 1)*(u + 2)/5
Let x(z) be the third derivative of -z**6/720 - z**5/90 + 42*z**2. Factor x(v).
-v**2*(v + 4)/6
Let c(i) = -6*i**3 + 6*i - 3. Suppose -p + 14 = 12. Let w(t) = t + 3*t**3 + 1 - p - 4*t**3. Let m(l) = -c(l) + 3*w(l). Let m(u) = 0. What is u?
-1, 0, 1
Let p(b) = -b + 13. Let v be p(7). Suppose 0 = -v*x + 2*x + 12. Solve -12 + 20 - 19*a**2 - 16*a - x*a**2 - 2*a**3 - 4*a**3 = 0 for a.
-2, 1/3
Let b = 45 - 40. Factor 2*a**2 - b*a**2 + 113*a - 86*a.
-3*a*(a - 9)
Suppose 1/2*o**2 + 450 - 30*o = 0. Calculate o.
30
Let s be ((-12)/14)/((-2)/14). Suppose s*u - 2*u - 8 = 0. Determine q so that 37*q**u + 21*q + 12*q**3 - q**2 + 6*q = 0.
-3/2, 0
Let t(k) = 4*k**3 - 2*k**2 + 2*k - 1. Let o(m) = m**3 - 2*m**2 - m - 1. Let f(y) = 3*o(y) - t(y). Factor f(s).
-(s + 1)**2*(s + 2)
Let g(o) be the third derivative of -o**5/390 + 7*o**4/156 + 8*o**3/39 + 30*o**2 - 3. Let g(q) = 0. What is q?
-1, 8
Let t(j) = j + 1. Let b be t(-3). Let x be (-2)/12*((-148)/8 - b). Find a, given that 21/4*a**3 - 17/4*a**4 + 5/4*a**5 + 0 + 1/2*a - x*a**2 = 0.
0, 2/5, 1
Let b(n) be the second derivative of 1/5*n**5 + 4*n**2 - 2/3*n**3 + 0 + 4*n - 2/3*n**4. Factor b(c).
4*(c - 2)*(c - 1)*(c + 1)
Let b = -2560 - -2564. Factor -1/3*f**3 + 1/3*f**2 + 0 + 0*f - 1/3*f**b + 1/3*f**5.
f**2*(f - 1)**2*(f + 1)/3
Suppose 2*x - 10 = -6. Suppose -5*z + f = -16, 4*f - 4 = -2*z + x*f. Let -3 - 26*h**3 - 9*h**3 + 8*h**z - 9*h**3 + 6*h + 33*h**2 = 0. What is h?
-1/3, 1/4, 1
Let z(c) be the first derivative of 1/6*c**4 + 4 + 1/15*c**6 - 8*c + 0*c**3 - 1/5*c**5 + 0*c**2. Let s(x) be the first derivative of z(x). Solve s(o) = 0.
0, 1
Let -2/5*a**3 - 28/5 + 18/5*a + 12/5*a**2 = 0. Calculate a.
-2, 1, 7
Let c be ((-4208)/(-12) - 0)*51/12. Let b = c + -1474. Let -b*v**3 - 119/3*v**2 - 4 + 80/3*v = 0. Calculate v.
-3, 2/7
Suppose 7 - 6 = -p - g, -5*g = 6*p + 1. Solve 12/17*o**5 + 2/17 + 20/17*o**2 - 22/17*o**p + 0*o**3 - 12/17*o = 0 for o.
-1, 1/3, 1/2, 1
Let x(m) be the first derivative of 4/3*m**2 + 2/3*m + 2/15*m**5 + 4/3*m**3 + 5 + 2/3*m**4. Solve x(c) = 0 for c.
-1
Let j(w) = 203*w - 1419. Let r be j(7). Factor -3*a**3 + 9/2*a**4 + 9/2*a - 3*a**r - 3/2 - 3/2*a**5.
-3*(a - 1)**4*(a + 1)/2
Let l(w) be the first derivative of w**9/1512 + w**8/280 + w**7/420 - w**6/60 - w**5/30 - 5*w**3/3 + 1. Let s(x) be the third derivative of l(x). Factor s(p).
2*p*(p - 1)*(p + 1)**2*(p + 2)
Let d(y) be the third derivative of -y**5/210 - 2*y**4/21 + 3*y**3/7 + 203*y**2. Factor d(f).
-2*(f - 1)*(f + 9)/7
Suppose 0*j - 84 = -7*j. Suppose -49*k = -55*k + j. Factor -3/2*y + 1 + 1/2*y**k.
(y - 2)*(y - 1)/2
Let v(o) be the first derivative of -2*o**3/27 + 8*o**2/3 - 32*o + 50. Determine x, given that v(x) = 0.
12
Let r(o) be the third derivative of -o**8/20160 - o**7/3780 + o**6/540 - 2*o**5/15 + 11*o**2. Let p(q) be the third derivative of r(q). Solve p(h) = 0 for h.
-2, 2/3
Let q(o) be the second derivative of 0*o**3 + 12*o - 1/21*o**7 + 1/15*o**6 + 0*o**4 + 0 + 1/5*o**5 + 0*o**2. Solve q(y) = 0.
-1, 0, 2
Factor -3511808/3 + 1/3*x**3 + 23104*x - 152*x**2.
(x - 152)**3/3
Let q(i) be the third derivative of -i**6/80 + 2*i**5/5 - 29*i**4/16 + 7*i**3/2 + 35*i**2. Factor q(j).
-3*(j - 14)*(j - 1)**2/2
Let l = -2/1015 - -3049/2030. Determine o so that -3/4 - 3/4*o**2 + l*o = 0.
1
Let p be (1/(-8))/((-130)/(-16) - 9). Let d(z) be the first derivative of -10/7*z**2 - 16/21*z**3 - 5 - p*z**4 - 8/7*z. Factor d(k).
-4*(k + 1)**2*(k + 2)/7
Suppose -r + 1 = c - 6*r, -3*c - 5*r + 43 = 0. Factor -3*u**4 - 22*u**5 + 6*u**5 + c*u**5 - 2*u**4.
-5*u**4*(u + 1)
Let b(n) be the second derivative of -n**7/21 - 8*n**6/15 - 6*n**5/5 + 63*n. Determine h, given that b(h) = 0.
-6, -2, 0
Let g(q) be the third derivative of -7*q**2 + 0*q**5 - 2/1575*q**7 + 0*q**3 + 0*q - 1/300*q**6 + 1/180*q**4 + 0. Factor g