 + 0 + 0*s**r + 0*s + 2/3*s**4 = 0.
-1, 0
Let z(l) be the first derivative of 2*l**3/3 + 8*l**2 - 72. What is v in z(v) = 0?
-8, 0
Suppose 6*h = -56 + 56. Let u(b) be the second derivative of -1/4*b**5 - 1/8*b**6 - 2*b + h*b**3 - 5/24*b**4 + 1/8*b**2 + 0 - 1/42*b**7. Factor u(c).
-(c + 1)**4*(4*c - 1)/4
Let p = 118 - 134. Let f(l) = -l**2 - 19*l - 44. Let r be f(p). Factor -4/7 - 12/7*m**r - 4*m**3 - 18/7*m - 2/7*m**5 - 32/7*m**2.
-2*(m + 1)**4*(m + 2)/7
Let c(a) be the second derivative of -a**4/66 - a**3/33 + 6*a**2/11 - a - 64. Solve c(n) = 0 for n.
-3, 2
Let c(p) be the second derivative of -p**8/168 + p**7/105 + p**6/60 - p**5/30 + 4*p**2 - 15*p. Let z(l) be the first derivative of c(l). Factor z(n).
-2*n**2*(n - 1)**2*(n + 1)
Let a(o) be the third derivative of -o**6/480 + o**5/15 - 21*o**4/32 - 278*o**2. Factor a(i).
-i*(i - 9)*(i - 7)/4
Factor 161 - 367 - 3*a**2 + 131 + 30*a.
-3*(a - 5)**2
Let l(j) be the second derivative of 0*j**3 + 17*j + 0*j**2 + 0*j**4 + 0 - 3/20*j**5. Factor l(a).
-3*a**3
Let w be -3*(3 - 99/27). Factor -10/3*j**3 - 5/3*j**4 + 0 + 0*j + 5*j**5 + 0*j**w.
5*j**3*(j - 1)*(3*j + 2)/3
Let z be (32/12)/((8/6)/2). Let c(r) = -9*r + 38. Let v be c(z). Let 0*i + 4/3 - i**v - 1/3*i**3 = 0. Calculate i.
-2, 1
Suppose -78*w = -79*w. Let v(d) be the second derivative of -1/10*d**5 + w*d**2 + 0*d**4 + 0 + 1/3*d**3 + d. Find x such that v(x) = 0.
-1, 0, 1
Let s be (1/1)/((-33)/(-44)). Let l be (6/10 - 1)/((-6)/10). Factor l*m + s - 2/3*m**2.
-2*(m - 2)*(m + 1)/3
Let p(a) be the second derivative of 4*a**2 - 1/330*a**5 + 0*a**4 + 0 + 5*a + 0*a**3. Let z(y) be the first derivative of p(y). Factor z(i).
-2*i**2/11
Let v(q) be the third derivative of -q**9/45360 + q**7/1260 + q**6/270 - q**5/15 - 8*q**2. Let z(o) be the third derivative of v(o). Factor z(c).
-4*(c - 2)*(c + 1)**2/3
Let n(f) be the second derivative of f**8/3360 - f**7/1260 - 7*f**4/3 - 8*f. Let q(w) be the third derivative of n(w). Determine s, given that q(s) = 0.
0, 1
Let d(n) be the second derivative of -1/10*n**5 - 1/3*n**3 + 1/3*n**4 + 0 + 0*n**2 - 27*n. Factor d(c).
-2*c*(c - 1)**2
Suppose -6*k**3 + 3 + 3/2*k**5 - 3*k**2 + 0*k**4 + 9/2*k = 0. What is k?
-1, 1, 2
Let k = -44 - -107. Factor -71*v - 2*v**2 + 130*v - k*v.
-2*v*(v + 2)
Let h(i) = -6*i + 96. Let k be h(16). Let v(r) be the second derivative of 1/21*r**3 + 2/7*r**2 - 1/14*r**4 + k - 1/70*r**5 + 1/105*r**6 - 3*r. Factor v(a).
2*(a - 2)*(a - 1)*(a + 1)**2/7
Factor n**4 + 4*n**4 + 150*n**3 - 140*n**2 - 5*n**4 - 150*n + n**4 + 145 - 6*n**4.
-5*(n - 29)*(n - 1)**2*(n + 1)
Let y(r) = 2*r**2 - 4*r + 12. Let b(s) = -9*s**2 + 17*s - 48. Let i(o) = -6*b(o) - 26*y(o). Suppose i(m) = 0. Calculate m.
-4, 3
Let w(l) = -5*l**2 + 15*l + 30. Suppose 3*g + 13 = -t + 3, -2*g - 1 = -5*t. Let q(h) = -h + 1. Let n(i) = t*w(i) + 30*q(i). Factor n(c).
5*c*(c - 9)
Let r(j) be the third derivative of 1/320*j**6 + 0*j**5 + 2*j**2 + 1/840*j**7 + 0*j + 0*j**3 + 0 - 1/192*j**4. Factor r(i).
i*(i + 1)**2*(2*i - 1)/8
Suppose -3*s - 14 = q - 3, 0 = -2*q + 2*s + 18. Determine z, given that -15*z**2 - 10*z**4 - 9*z**4 - 35*z**3 - z**4 - 5*z**5 - 5*z**q = 0.
-3, -1, 0
Let m(k) = 32*k**2 - 742*k + 22. Let y(h) = -6*h**2 + 148*h - 4. Let p(d) = 2*m(d) + 11*y(d). Determine t, given that p(t) = 0.
0, 72
Let d = -203 + 203. Let q(m) be the third derivative of -2/9*m**5 - 5*m**2 + d*m - 2/9*m**3 - 1/20*m**6 - 13/36*m**4 + 0. Factor q(a).
-2*(a + 1)**2*(9*a + 2)/3
Let b = -199 + 399/2. Let i be 2/4 + 2 + -2. Find j such that -i*j + b*j**2 - 1/2 + 1/2*j**3 = 0.
-1, 1
Let c(f) be the third derivative of 0*f + 1/1344*f**8 + 1/60*f**5 - 3*f**2 + 1/210*f**7 + 0 + 0*f**3 + 1/96*f**4 + 1/80*f**6. Determine v, given that c(v) = 0.
-1, 0
Suppose 2*c = 4*c + 4*g - 18, 5*g = 20. Let r(a) be the first derivative of -8/5*a + 0*a**2 + c + 2/15*a**3. Factor r(w).
2*(w - 2)*(w + 2)/5
Let g = -6959 - -6962. Solve -3/2*s - 3/4*s**2 + 3/8*s**3 + g = 0 for s.
-2, 2
Let d(p) be the third derivative of p**8/60480 - p**7/7560 + 11*p**5/60 + 3*p**2. Let f(m) be the third derivative of d(m). Find z, given that f(z) = 0.
0, 2
Factor 0 - 56/3*f**2 + 2/3*f**3 + 0*f.
2*f**2*(f - 28)/3
Let k be (-6*5)/(4 - 5). Suppose 16*m + k*m + 2 + 4 - 36*m - 4*m**2 = 0. What is m?
-1/2, 3
Let h = -17 + 10. Let x = h - -11. Find u such that -6*u**4 - 4*u**5 - 17*u**5 + 12*u**x = 0.
0, 2/7
Let u(r) be the third derivative of r**7/2520 - r**6/360 + r**4/18 - r**3 - 4*r**2. Let h(t) be the first derivative of u(t). Factor h(z).
(z - 2)**2*(z + 1)/3
Let i be ((-12)/(-10))/(15/(-100)). Let o(p) = -5*p - 18. Let k be o(i). Determine w so that -k*w + 4 + 14*w + 4*w**2 + 0*w**2 = 0.
1
Let d(z) = -5*z + 37. Let r be d(13). Let f be ((-63)/r + -3)*2/(-3). Factor 0 + 0*y**4 + 0*y**2 + 1/4*y**5 + 1/4*y - f*y**3.
y*(y - 1)**2*(y + 1)**2/4
Find o such that 9*o - 3*o**3 - 6*o + 4*o**3 - 3*o**2 + o - 28*o - 28 = 0.
-2, 7
Let v(r) be the first derivative of 11/7*r**4 + 0*r + 8/7*r**2 - 12/35*r**5 - 16/7*r**3 - 2. Determine c, given that v(c) = 0.
0, 2/3, 1, 2
Let q = -46 + 44. Let b be (4 - ((-2)/1)/2) + q. Suppose -1/2*k**2 + 0 + 2*k**5 + 0*k + 1/2*k**4 - 2*k**b = 0. What is k?
-1, -1/4, 0, 1
Let x be 9/((-9)/4) - -8. Factor 2/9*r**x - 2/9*r**3 - 4/9*r**2 + 0 + 0*r.
2*r**2*(r - 2)*(r + 1)/9
Let w(c) be the second derivative of c**7/840 - c**5/120 + c**3/24 + 9*c**2/2 - 9*c. Let l(y) be the first derivative of w(y). Suppose l(b) = 0. What is b?
-1, 1
Let q(i) be the first derivative of 4*i**5/5 + 3*i**4 + 8*i**3/3 - 31. Factor q(k).
4*k**2*(k + 1)*(k + 2)
Let n be 130/100 - (-8)/(-10). Suppose -5/2*s**2 + n*s**4 + 2 + 0*s + 0*s**3 = 0. What is s?
-2, -1, 1, 2
Suppose -y + 6*y = 3*f - 56, -5*f - y = -140. Factor 45*b**4 - f*b**5 - 21*b**3 - 3 + 3*b**2 + 3.
-3*b**2*(b - 1)*(3*b - 1)**2
Let x(w) be the first derivative of 5*w**3/3 - 15*w**2/2 + 10*w - 85. Find q such that x(q) = 0.
1, 2
Suppose -5 = c, -c + 17 = 3*w - 2*c. Factor 0*f**3 + 3*f + 3*f**2 - 3*f**3 - 15*f**w + 12*f**4.
-3*f*(f - 1)*(f + 1)**2
Suppose 3*z = -0*y + 3*y - 6, 12 = 3*y. Suppose 0 = -z*c - 0*c + 4. Factor 2*d**c - d - 4 - 2*d**4 + 6 + 7*d**3 - 3*d**2 - 5*d**2.
-(d - 2)*(d - 1)**2*(2*d + 1)
Let z be (-544)/(-204) - ((-2)/6)/1. Suppose -4*s + z*s + 2 = 0. Suppose -1/2*c + 3/4*c**s + 0 - 1/4*c**3 = 0. Calculate c.
0, 1, 2
Let a(f) = -3*f - 17608*f**3 + 33*f**2 + 2 + 3*f + 17607*f**3. Let v be a(33). Let 6/7 + 2/7*x**v + 8/7*x = 0. Calculate x.
-3, -1
Let x = -11 + 23. Let k(f) = -3*f - 3. Let y be k(-2). Solve u**2 + u**2 - x*u**4 - 4*u**2 - 5*u**5 - 8*u**y - u**3 = 0 for u.
-1, -2/5, 0
Let q = -42 + 40. Let a(c) = -c**3 + c. Let t be 0/(-1) + -3 + 1. Let z(m) = m**2 - m. Let g(p) = q*a(p) + t*z(p). Solve g(u) = 0 for u.
0, 1
Suppose -w - x = -6*x + 26, -x = -5. Let j be (-630)/80 + 10 + w/8. Solve 2/5*d + 0 + 8/5*d**j = 0 for d.
-1/4, 0
Suppose 8*z - 45 = 3*z. Determine i, given that -3*i**3 - 8*i**3 - z*i**2 + 14*i**3 + 6 + 3*i**4 - 3*i = 0.
-2, -1, 1
Let c(v) be the third derivative of v**6/1380 + v**5/138 + 7*v**4/276 + v**3/23 - 5*v**2 - 23*v. Factor c(l).
2*(l + 1)**2*(l + 3)/23
Let i(x) = x**3 - 15*x**2 + 29*x - 207. Let c be i(14). Factor 1/2*m**2 + c*m + 9/2.
(m + 3)**2/2
Let b(v) be the first derivative of -1/26*v**4 - 2/39*v**3 - 6 + 5/13*v**2 - 6/13*v. Factor b(z).
-2*(z - 1)**2*(z + 3)/13
Let j(d) be the third derivative of -d**7/63 + 11*d**6/144 - d**5/8 + d**4/8 - 30*d**2. Let u(p) be the second derivative of j(p). Find m such that u(m) = 0.
3/8, 1
Factor 28/11*p + 64/11 - 2/11*p**2.
-2*(p - 16)*(p + 2)/11
Suppose -171*f - 209/5*f**2 + 79/5*f**3 - 162/5 - f**4 = 0. What is f?
-2, -1/5, 9
Suppose 5*h + 3*p = 102, h + h = 4*p + 20. Factor z**2 + 2*z**4 + 2*z**3 + 18*z - h*z - z**4.
z**2*(z + 1)**2
Let r be -1 - (1*-3 - (27 - 29)). Let v(j) be the third derivative of r*j + 0*j**3 - 1/30*j**5 + 0*j**4 - 5*j**2 + 0. Factor v(p).
-2*p**2
Let p(b) be the second derivative of b**7/35 - b**6/3 + 47*b**5/50 - 31*b**4/30 + 2*b**3/5 - 55*b. Find h such that p(h) = 0.
0, 1/3, 1, 6
Let g(d) = -d**3 - d**2 + 2*d - 4. Let c be g(-3). Suppose -4*n = -8 - c. Determine h, given that 21 - 2*h**3 + n*h - 2*h**2 - 21 = 0.
-2, 0, 1
Let c(a) be the first derivative of 1/36*a**3 + 6*a + 0*a**2 + 2 + 1/72*a**4. Let g(h) be the first derivat