tive of y(m). Factor g(a).
3*(a + 1)**2/5
Let o(q) = q**2. Let y(g) be the first derivative of 3*g**3 - 3*g**2 + 5. Let u(m) = -6*o(m) + y(m). Find z, given that u(z) = 0.
0, 2
Let w(u) be the first derivative of u**4/36 + 34*u**3/27 + 95*u**2/18 + 62*u/9 - 59. Factor w(v).
(v + 1)*(v + 2)*(v + 31)/9
Let y = -4/201 - -832/1407. Solve -24/7*c**3 + 18/7*c**4 + 0 - y*c - 22/7*c**2 = 0 for c.
-1/3, 0, 2
Let v be (-56)/(-30) - (-29)/(6090/28). Let a(j) be the third derivative of 0 + 5*j**v - 1/4*j**4 + 0*j**3 + 0*j - 1/20*j**5. Factor a(i).
-3*i*(i + 2)
Let k be (-50)/20 - (-3)/2 - -6. Factor 5*m - k - 5/4*m**3 + 5/4*m**2.
-5*(m - 2)*(m - 1)*(m + 2)/4
Suppose 13 = 3*o - 5. Factor -o + 35*x**2 - 22*x**2 - 5*x - 14*x**2.
-(x + 2)*(x + 3)
Let b(m) be the third derivative of -m**7/210 - m**6/30 - m**5/12 - m**4/12 + 78*m**2. Factor b(z).
-z*(z + 1)**2*(z + 2)
Factor 16/3*h**2 + 128/3*h + 1/6*h**3 + 0.
h*(h + 16)**2/6
Suppose 54 = 124*q - 53*q - 88. Solve -1/2*u**q + 3*u - 4 = 0 for u.
2, 4
Let r(n) = n**2 - 2*n - 5. Let f(v) = -15 + 107*v + 106*v - 218*v + 3*v**2. Let t(j) = -6*f(j) + 21*r(j). Let t(a) = 0. Calculate a.
-1, 5
Let n(q) be the third derivative of 1/80*q**6 - 1/16*q**4 + 0*q + 14*q**2 + 0*q**5 + 0*q**3 + 0. Suppose n(f) = 0. Calculate f.
-1, 0, 1
Suppose 3*b - 2*c = -c + 4, 0 = -5*b - 2*c + 14. Let 2*m**b + m**3 - 4*m + 6*m**3 - 5*m**3 = 0. What is m?
-2, 0, 1
Let x be (15/(-6))/(-5)*4. Suppose -x + 12*w**2 + 8*w + 3 - 1 = 0. What is w?
-2/3, 0
Let o be -8 + 10 - (22/5)/((-72)/(-30)). Solve -1/6 - o*x**2 + 1/3*x = 0.
1
Let p(y) = 15*y**4 - 135*y**3 - 150*y**2 - 21*y - 21. Let t(f) = -3*f**4 + 27*f**3 + 30*f**2 + 4*f + 4. Let h(k) = -4*p(k) - 21*t(k). Factor h(c).
3*c**2*(c - 10)*(c + 1)
Let b(p) be the second derivative of -p**5/110 + 10*p**4/33 + 43*p**3/33 + 2*p**2 + 26*p. Let b(j) = 0. What is j?
-1, 22
Factor -141/4*q - 3/4*q**3 - 75/4*q**2 - 69/4.
-3*(q + 1)**2*(q + 23)/4
Let h = 206 - 206. Factor h*g**2 - 3/7*g**4 + 6/7*g + 3/7 - 6/7*g**3.
-3*(g - 1)*(g + 1)**3/7
Solve -13*l**2 - 384*l + 129 - 3*l**2 + 7*l**2 = 0.
-43, 1/3
Let b(g) be the second derivative of -g**5/40 - 5*g**4/24 - 2*g**3/3 - g**2 - 10*g - 1. Determine f, given that b(f) = 0.
-2, -1
Let m be 32/10 + (-26)/130. Let r(x) be the third derivative of -1/360*x**5 + 0 + x**2 + 0*x - 1/18*x**m - 1/48*x**4. Suppose r(i) = 0. What is i?
-2, -1
Let g(x) be the second derivative of -x**5/70 - x**4/14 + 193*x. Factor g(m).
-2*m**2*(m + 3)/7
Suppose x - 2*h = 61, 2*x - h = 4*h + 126. Let l = x + -50. Find z, given that -2/3*z**l - 4/3 + 2/3*z + 4/3*z**2 = 0.
-1, 1, 2
Determine v so that -16 - 32/3*v - 4/3*v**2 = 0.
-6, -2
Let r(x) be the second derivative of 1/12*x**4 + 1/168*x**7 + 0*x**2 + 23*x + 0 + 9/80*x**5 + 1/20*x**6 + 0*x**3. Solve r(k) = 0 for k.
-4, -1, 0
Suppose -3*m = 4*z + 20, -42*m - 20 = -45*m + 4*z. Let f(w) be the third derivative of m*w + 1/2*w**4 - 2/15*w**5 + 0 - 2*w**2 - 2/3*w**3. Factor f(d).
-4*(d - 1)*(2*d - 1)
Let v(a) be the second derivative of 0 - 5*a - 1/18*a**4 - 4/3*a**2 - 4/9*a**3. Solve v(g) = 0.
-2
Factor 2/9*g**4 - 10/9*g**3 + 0 - 2/9*g**2 + 10/9*g.
2*g*(g - 5)*(g - 1)*(g + 1)/9
Let w = 61 - 26. Let n = w - 33. Factor -2 - 1/2*d**n - 2*d.
-(d + 2)**2/2
Factor 7*c**3 - 3*c**3 + 15 - 24*c - 3*c**2 - 4*c**3 + 21 + 3*c**3.
3*(c - 2)**2*(c + 3)
Suppose 6 = 8*x - 5*x. Suppose -x = -f - 0. Factor -8 - f*z - 2*z**2 + z - 7*z.
-2*(z + 2)**2
Let x(c) be the third derivative of c**5/300 + 17*c**4/15 - 137*c**3/30 + 11*c**2 + 41*c. Factor x(y).
(y - 1)*(y + 137)/5
Let q(v) be the first derivative of -5*v**6/6 + 2*v**5 + 15*v**4/4 - 20*v**3/3 - 10*v**2 - 136. Determine j, given that q(j) = 0.
-1, 0, 2
Let z = -4701 - -4703. Factor 2/7*h + 4/7 - 6/7*h**z.
-2*(h - 1)*(3*h + 2)/7
Let z(i) = 6*i**2 + 4*i - 2. Let w(h) be the second derivative of -5*h**4/12 - h**3/2 + h**2 + 7*h. Let c(d) = -7*w(d) - 6*z(d). Find p such that c(p) = 0.
-2, -1
Let u(p) = -42*p**2 - 69*p + 420. Let v(j) = 11*j**2 + 17*j - 106. Let l(s) = 4*u(s) + 15*v(s). Determine r, given that l(r) = 0.
-10, 3
Let l(u) be the third derivative of 2*u**7/315 - u**6/180 + 11*u**4/24 + 7*u**2. Let o(h) be the second derivative of l(h). Determine x, given that o(x) = 0.
0, 1/4
Let d(z) be the second derivative of z**5/4 + 45*z**4/2 + 810*z**3 + 14580*z**2 - 561*z + 2. What is y in d(y) = 0?
-18
Let v(m) = 5*m**4 - 6*m**3 - 2*m**2 + 3*m - 6. Let x(y) = -13*y**4 + 17*y**3 + 6*y**2 - 8*y + 16. Let l(n) = 8*v(n) + 3*x(n). Suppose l(t) = 0. Calculate t.
-2, -1, 0
Let p(d) be the first derivative of -36/35*d**5 - 3*d**2 + 10/7*d**3 + 1 + 3/2*d**4 + 6/7*d. What is h in p(h) = 0?
-1, 1/6, 1
Let y(h) be the first derivative of -h**6/72 - h**5/12 - 5*h**4/36 + 13*h**2/2 + 35. Let s(g) be the second derivative of y(g). Solve s(i) = 0 for i.
-2, -1, 0
Let y = 52 - -100. Let s = y - 152. Find o, given that s*o**3 + 0 + 1/2*o - 3/4*o**2 + 1/4*o**4 = 0.
-2, 0, 1
Suppose 39/8 - 3/8*h + 3/8*h**3 - 39/8*h**2 = 0. What is h?
-1, 1, 13
Let x(c) be the third derivative of 0 + 0*c**3 - 3/320*c**6 + 1/160*c**5 + 3/64*c**4 + 0*c - 3*c**2 - 1/560*c**7. Suppose x(l) = 0. Calculate l.
-3, -1, 0, 1
Let s(q) = q**2 + 80*q - 704. Let p be s(-88). Factor 0*n - 1/7 + 2/7*n**2 - 1/7*n**4 + p*n**3.
-(n - 1)**2*(n + 1)**2/7
Let z be 3*42/(-56)*(-16)/54. Let d(k) be the first derivative of -5 + 1/2*k**2 - 1/4*k**4 + z*k**3 - 2*k. Suppose d(g) = 0. Calculate g.
-1, 1, 2
Let h = 45 + -37. Factor h*z - 7*z**3 - 3*z + 3*z**3 - z**3.
-5*z*(z - 1)*(z + 1)
Let v(q) = 10*q**3 + 54*q**2 - 6*q - 58. Let t(m) = 33*m**3 + 161*m**2 - 19*m - 175. Let c(s) = -2*t(s) + 7*v(s). Factor c(k).
4*(k - 1)*(k + 1)*(k + 14)
Let s(u) = -54*u - 265. Let o be s(-5). Let f(m) be the first derivative of 0*m**2 - 2 - 3/4*m**4 + 3/10*m**o + 1/2*m**3 + 0*m. Factor f(g).
3*g**2*(g - 1)**2/2
Suppose -5*f - o = 0, -5*f - 41*o + 36*o = 0. Factor f*u**2 + 4/11 - 6/11*u + 2/11*u**3.
2*(u - 1)**2*(u + 2)/11
Suppose -5*r - 4 = -r. Let w be (12/(-42))/(r/7). Find d, given that -20*d + 3*d**3 - 4*d**3 + 4*d**w + 12 + 5*d**3 = 0.
-3, 1
Let q(y) be the third derivative of -y**8/5040 - y**7/315 + y**5/10 + y**3/6 - 8*y**2. Let b(d) be the third derivative of q(d). Factor b(m).
-4*m*(m + 4)
Let z(f) = -4*f**2 - 18*f + 38. Let o be z(-6). Let v(m) be the second derivative of -1/6*m**4 - o*m + 0*m**3 + m**2 + 0. Solve v(b) = 0.
-1, 1
Suppose 5*s - 5 = 5*j, -25*s + 22*s = 3*j - 15. Find c such that 0 + 7/4*c**5 + 0*c + 13/2*c**4 + 5*c**3 - j*c**2 = 0.
-2, 0, 2/7
Let o(y) be the third derivative of y**6/280 + 4*y**5/35 - 19*y**4/14 + 40*y**3/7 + 30*y**2 - 12. Factor o(m).
3*(m - 2)**2*(m + 20)/7
Let k = -176 + 182. Suppose -207*u = -209*u + k. Let -3/4*w**u - 3 + 0*w + 9/4*w**2 = 0. What is w?
-1, 2
Factor 2*r - 6 + 0*r**3 - r + 3*r**2 + 3 - 2*r + r**3.
(r - 1)*(r + 1)*(r + 3)
Let j(u) be the second derivative of 3/20*u**5 + 21*u + 0*u**4 + 0*u**3 + 0*u**2 + 0 + 1/20*u**6. Factor j(w).
3*w**3*(w + 2)/2
Let p(y) be the third derivative of 1/840*y**7 + 29*y**2 + 1/120*y**6 - 1/24*y**4 + 0 - 1/6*y**3 + 0*y + 1/80*y**5. Factor p(c).
(c - 1)*(c + 1)*(c + 2)**2/4
Let x(s) be the first derivative of -3*s**5/5 - 21*s**4/2 + 87*s**3 - 222*s**2 + 228*s + 94. Solve x(o) = 0 for o.
-19, 1, 2
Let n = 7 - 3. Suppose -3*v - 549*s = -552*s - 18, 3*v - 3 = -2*s. Suppose 0*a + 3/8*a**5 + 3/8*a**2 + 9/8*a**v + 0 + 9/8*a**n = 0. What is a?
-1, 0
Let v(z) be the first derivative of -5 - 1/6*z**3 + 1/4*z**2 + 1/2*z - 1/8*z**4. Factor v(m).
-(m - 1)*(m + 1)**2/2
Let h(b) = -4*b**3 - 5*b**2 + 4*b + 4. Let d be (-12)/(-10)*5/2. Let m(l) = 2*l + 8*l**d - 1 - 4*l + l - 7*l**3. Let o(r) = h(r) - m(r). Factor o(w).
-5*(w - 1)*(w + 1)**2
Let p = 10 + -6. Determine q, given that -p*q**2 + 107 - 4*q**3 - 107 = 0.
-1, 0
Let n(s) be the first derivative of -3*s**5/20 + 3*s**4/4 - 6*s**2 - s - 4. Let k(g) be the first derivative of n(g). Suppose k(b) = 0. What is b?
-1, 2
Let h(j) be the third derivative of j**6/900 - j**5/75 - 3*j**4/20 - 177*j**2. Factor h(d).
2*d*(d - 9)*(d + 3)/15
Let c be 7/1 + 142/71. Let s(x) be the first derivative of 27/5*x + c + 9/5*x**2 + 1/5*x**3. Factor s(h).
3*(h + 3)**2/5
Let z(p) be the third derivative of 5 + 5/56*p**4 + 0*p - 1/56*p**6 + 2*p**2 + 3/140*p**5 - 2/7*p**3 + 1/490*p**7.