f(s) = 0 for s.
3
Let g(o) be the second derivative of -9/20*o**5 + 9/2*o**2 + 10*o - 9/4*o**4 - 1/2*o**3 + 0 + 1/5*o**6. Factor g(f).
3*(f - 3)*(f + 1)**2*(2*f - 1)
Factor -2/5*w**2 - 324/5 + 54/5*w.
-2*(w - 18)*(w - 9)/5
Let t(m) be the first derivative of 0*m**2 + 0*m + 12/5*m**5 + 22 - 7*m**4 + 8/3*m**3. Solve t(b) = 0.
0, 1/3, 2
Factor 51/4*s**2 + 105/8*s + 0 - 3/8*s**3.
-3*s*(s - 35)*(s + 1)/8
Let p(b) be the first derivative of -b**8/84 + 4*b**7/105 - b**6/30 + b**2 - 4. Let o(c) be the second derivative of p(c). Suppose o(n) = 0. What is n?
0, 1
Let q be 9/(-63) - 139/(-189). Let r = q + -122/297. Factor -4/11*u + 2/11 + r*u**2.
2*(u - 1)**2/11
Suppose -5*s + 9 + 6 = 0. Let q(m) be the first derivative of 0*m - 6 + s*m - m**3 + 2. Factor q(a).
-3*(a - 1)*(a + 1)
Let r = 91 - 88. Suppose r*u + 2*u = -3*p - 4, -4*p + 16 = -4*u. Suppose 1/3 + p*g**2 - 4/3*g**3 + 1/3*g**4 - 4/3*g = 0. Calculate g.
1
Factor 1/3*i**2 - 1/2*i - 1/3.
(i - 2)*(2*i + 1)/6
Let j(a) be the first derivative of -a**6/66 - 23*a**5/55 + 26*a**4/11 - 36*a**3/11 - 94. Find d such that j(d) = 0.
-27, 0, 2
Let q be 1*(14 - (13 + 1)). Determine u so that q*u**4 + 0 - 2/3*u**3 + 2/3*u**5 + 0*u + 0*u**2 = 0.
-1, 0, 1
Let h(g) be the third derivative of -1/280*g**6 + 0*g + 0*g**3 - 1/14*g**4 + 0 + 6*g**2 + 1/28*g**5. Factor h(f).
-3*f*(f - 4)*(f - 1)/7
Factor 0 - 10/3*a**2 + 1/3*a**3 - 8*a.
a*(a - 12)*(a + 2)/3
Suppose 4*u = -2*c + 3*u - 137, -5*c + u = 346. Let a = 347/5 + c. Let -a*m**5 + 4/5 + 2*m - 8/5*m**3 - 8/5*m**4 + 4/5*m**2 = 0. Calculate m.
-2, -1, 1
Let o = 111 + -107. Let a(m) be the first derivative of 0*m - 7 + 0*m**3 + 0*m**o - 2/55*m**5 + 0*m**2. Find i such that a(i) = 0.
0
Let z be 2*(4 - 6)*(-5)/10. Let p(r) be the first derivative of -1/3*r**z - 3 + 1/3*r**3 - 1/15*r**5 + 0*r + 0*r**4. What is s in p(s) = 0?
-2, 0, 1
Suppose -516*w - 10 = -518*w. Let i(o) be the second derivative of 1/45*o**6 - 1/15*o**w + 1/18*o**4 + 0 + 0*o**3 + 0*o**2 + 3*o. Find t such that i(t) = 0.
0, 1
Suppose 4*q = 39 - 7. What is k in 32*k**2 - 8*k**4 - 28*k**4 - 6*k**5 - 10*k**5 + 4 - q*k**3 + 24*k = 0?
-1, -1/4, 1
Let n be 0 + (-5 - 112/(-21)). Let p(d) be the third derivative of 0*d + 0 + 1/15*d**5 - n*d**4 + 3*d**2 + 8/9*d**3 - 1/180*d**6. Factor p(a).
-2*(a - 2)**3/3
Let b be (-8145)/12*(37/11 - 3). Let d = b - -247. Let 28/11*n**3 + 18/11*n + 4/11 + 32/11*n**2 + 12/11*n**4 + d*n**5 = 0. Calculate n.
-2, -1
Let d be 1/(2/4)*19. Let z = 38 - d. Find v such that 1/6*v**3 + z*v - 1/6*v**2 + 0 = 0.
0, 1
Let y(p) be the first derivative of -10*p**3/3 + 3*p**2 - 10. Let j(z) = -11*z**2 + 6*z - 1. Let b(l) = -2*j(l) + 3*y(l). Find w such that b(w) = 0.
-1/4, 1
Let y(o) = -2*o**2 + 52*o - 334. Let g be y(13). Find d such that -6/5*d + 0 - 12/5*d**3 + 3*d**2 + 3/5*d**g = 0.
0, 1, 2
Let u = 7 + -5. Find z, given that -6*z**u + 44*z - 36*z + 5*z**2 = 0.
0, 8
Let y = 36 + -36. Factor y*s**2 - 3*s**4 + 3*s**2 + 0*s**4 + 0*s**4.
-3*s**2*(s - 1)*(s + 1)
Let l(m) = 39*m**3 + 3*m**3 - 6*m**3 + 1 + 3*m**3. Let c be l(1). Determine k, given that 17 + 3*k**2 + 7 + c*k - 12*k - 15*k**2 = 0.
-2/3, 3
Let s(n) be the second derivative of n**4/6 - 48*n**3 + 5184*n**2 - 394*n. Determine y, given that s(y) = 0.
72
Let d(u) be the third derivative of -u**8/448 + u**7/140 + u**6/40 - u**5/10 - 102*u**2 + u. Factor d(m).
-3*m**2*(m - 2)**2*(m + 2)/4
Let f(w) be the first derivative of w**5/35 - 11*w**4/28 + 5*w**3/3 - 25*w**2/14 - 80. Let f(u) = 0. What is u?
0, 1, 5
Let p(w) be the first derivative of 0*w**3 + 3/4*w**4 - 1/4*w**6 + 0*w**5 + 0*w - 2 - 3/4*w**2. Determine o so that p(o) = 0.
-1, 0, 1
Let h be -18 + (7 - 1 - 3). Let k be (-12)/h + (-44)/(-20). Determine o so that -4/9 - 2/9*o**4 + 2/9*o**k - 2/9*o + 2/3*o**2 = 0.
-1, 1, 2
Let z(n) be the second derivative of n**5/100 + 7*n**4/60 + 2*n**3/5 + 7*n + 25. Factor z(d).
d*(d + 3)*(d + 4)/5
Suppose -175*i = 218*i - 3930. Let 6/5*o**2 + i*o - 36/5 = 0. Calculate o.
-9, 2/3
Let g(y) = -2*y**2 - 331*y - 9865. Let k be g(-39). Determine u so that 0 - 4/7*u + 2/7*u**k = 0.
0, 2
Let i = -20 - -10. Let u = i - -12. Factor -a**5 + 4 + 6*a**3 - 3*a - 2*a**5 + 3*a**4 - 3*a**u - 3*a**2 - 1.
-3*(a - 1)**3*(a + 1)**2
Let g(n) be the second derivative of -n**8/1344 - n**7/168 - n**6/72 - n**4/3 + 30*n. Let q(t) be the third derivative of g(t). Solve q(d) = 0.
-2, -1, 0
Let m(j) = -7*j**3 - 60*j**2 - 33*j + 64. Let q(v) = 57*v**3 + 480*v**2 + 273*v - 513. Let n(g) = 33*m(g) + 4*q(g). Factor n(k).
-3*(k - 1)*(k + 1)*(k + 20)
Let v(n) be the second derivative of 0*n**4 - 1/7*n**2 + 1/35*n**5 + 0 + 1/105*n**6 - 27*n - 2/21*n**3. Factor v(j).
2*(j - 1)*(j + 1)**3/7
Let k(z) = 2*z**2 + 16*z + 17. Let t be k(-7). Suppose 13*r**t - 283*r**4 - 61*r**3 - 32*r**2 + 265*r**4 - 2*r**5 = 0. What is r?
-4, -1, 0
Factor 61*c**2 - 240*c + 229 + 52*c**4 + 227*c**2 - 22 + 60*c**3 - 1407 - 49*c**4.
3*(c - 2)*(c + 2)*(c + 10)**2
Let f(x) = -36*x. Let j be f(-1). Suppose 4*i + 1 = 13. Factor -88*g**2 + j*g**3 + 96*g - 32 - 4*g**4 + 15 - 19 - 4*g**i.
-4*(g - 3)**2*(g - 1)**2
Suppose -28 = -10*c + 3*c. Let t(d) be the first derivative of 0*d - 2 - 3*d**2 - 3*d**c + 5*d**3 + 3/5*d**5. Let t(v) = 0. Calculate v.
0, 1, 2
Let m(d) = -4*d + 6. Let v(g) = -4*g + 7. Let p(j) = -5*m(j) + 4*v(j). Let n(w) = -w**2 - 15*w + 7. Let q(y) = 4*n(y) + 18*p(y). Factor q(b).
-4*(b - 2)*(b - 1)
Let m(d) be the second derivative of -d**9/3024 + d**7/168 + d**6/72 + d**4/4 + 9*d. Let s(q) be the third derivative of m(q). Factor s(o).
-5*o*(o - 2)*(o + 1)**2
Let w(g) = -25*g**4 - 25*g**3 - 130*g**2 + 30*g + 450. Let i(o) = -2*o**4 - 2*o**3 - o**2 + o. Let d(b) = 15*i(b) - w(b). Let d(s) = 0. What is s?
-5, -2, 3
Let f be 16/7*1/2. Let s = 5435/19047 - -1/2721. Solve s*m**2 - 2/7 - f*m**3 + 8/7*m = 0 for m.
-1, 1/4, 1
Factor 3 + 33/5*a + 6/5*a**2.
3*(a + 5)*(2*a + 1)/5
Let a(l) be the second derivative of l**6/90 + l**5/10 + l**4/3 + 4*l**3/9 + 21*l + 2. Factor a(c).
c*(c + 2)**3/3
Let b(m) be the second derivative of -m**7/441 + m**6/45 - 3*m**5/35 + 11*m**4/63 - 13*m**3/63 + m**2/7 - 520*m. Factor b(t).
-2*(t - 3)*(t - 1)**4/21
Let r(f) be the first derivative of f**9/9072 + f**8/5040 - f**7/2520 - f**6/1080 + 7*f**3/3 + 6. Let d(k) be the third derivative of r(k). Factor d(c).
c**2*(c - 1)*(c + 1)**2/3
Let p be -2 + 4/3*3. Let z(j) = -j**3 + j**2 + j. Let g(m) = -m**3 + 4*m**2 - 5*m - 1. Let h(x) = p*g(x) + 6*z(x). Factor h(n).
-2*(n - 1)**2*(4*n + 1)
Let i = 33/7 + -29/7. Suppose 0 = 2*t + 1 - 5. Factor i + 2/7*n**t - 6/7*n.
2*(n - 2)*(n - 1)/7
Suppose 9 = -u + 3*f, -111*u + 2*f - 6 = -113*u. Solve 2/7*q**4 + u*q**3 + 0*q - 10/7*q**2 + 8/7 = 0.
-2, -1, 1, 2
Suppose 5 = -91*a + 92*a. Suppose 0 = -j - 0*y + y + 2, -a*j + y + 10 = 0. Factor 2/11*x**4 - 24/11*x + 26/11*x**j - 12/11*x**3 + 8/11.
2*(x - 2)**2*(x - 1)**2/11
Determine g so that 2/3*g**2 - 10/3 - 8/3*g = 0.
-1, 5
Let w be -4 + 10 - 4316/720. Let z(p) be the third derivative of 0*p**3 + 0*p**5 + 1/630*p**7 + 0*p + 0*p**4 + 0 + w*p**6 - p**2. Factor z(k).
k**3*(k + 2)/3
Let g(o) be the second derivative of -o**8/560 + o**7/168 + o**6/180 + o**3/3 + 7*o. Let u(m) be the second derivative of g(m). Find f such that u(f) = 0.
-1/3, 0, 2
Let l = -533/5 + 107. Let 4/5 - 2/5*n**3 - 4/5*n**2 + l*n = 0. What is n?
-2, -1, 1
Let b(z) be the third derivative of z**6/90 + z**5/30 + 43*z**3/6 - 23*z**2. Let c(r) be the first derivative of b(r). Factor c(s).
4*s*(s + 1)
Let d(v) = -11*v**2 + 25*v - 210. Let j(s) = 9*s**2 - 26*s + 213. Let t(q) = 4*d(q) + 5*j(q). Suppose t(o) = 0. What is o?
15
Let r(u) be the first derivative of 1/10*u**5 - 1/8*u**4 - 1/6*u**3 + 0*u - 20 + 0*u**2 + 1/12*u**6. Factor r(l).
l**2*(l - 1)*(l + 1)**2/2
Suppose 504 = 108*n - 111*n. Let p = n - -171. Determine a so that -a**5 + 0 + 0*a + 0*a**2 - 3/5*a**4 + 2/5*a**p = 0.
-1, 0, 2/5
Let n(l) = 5*l**2 + 8*l + 4. Let q(r) = 2*r + 3*r - r**2 - 4*r + 1 + 2*r**2. Let a(y) = -n(y) + 4*q(y). Suppose a(u) = 0. Calculate u.
-4, 0
Suppose -45*n = -49*n + 12. Let h be (-1)/(-5) + 2/15. Factor -m + m**2 - h*m**n + 1/3.
-(m - 1)**3/3
Factor 0*g + 0 + 0*g**3 + 2/5*g**4 - 2/5*g**2.
2*g**2*(g - 1)*(g + 1)/5
Factor 0*h**2 - 4/3 + 2*h - 2/3*h**3.
-2*(h - 1)**2*(h + 2)/3
Let j(d) = -8*d + 235. Let g