= 0.
-12, -1, -2/7
Let f(v) be the second derivative of v**4/72 - v**3/9 + v**2/4 - v - 334. Factor f(c).
(c - 3)*(c - 1)/6
Let b(a) = -a - 2. Let j be b(-4). Solve -6 - 2*l**j + 8 - 4 + 3*l**2 + l = 0 for l.
-2, 1
Let n(w) be the second derivative of 1/36*w**4 + 5*w + 0*w**3 - 3/2*w**2 + 1/270*w**5 + 0. Let m(c) be the first derivative of n(c). What is b in m(b) = 0?
-3, 0
Let g(c) be the second derivative of -20*c + 0 + 2/27*c**3 - 2/45*c**6 + 0*c**2 + 17/90*c**5 - 11/54*c**4. Solve g(f) = 0 for f.
0, 1/3, 1/2, 2
Let g(l) be the second derivative of l**7/25200 - l**6/1200 - 7*l**5/1200 + l**4/12 + l**2 - 53*l. Let s(x) be the third derivative of g(x). Factor s(p).
(p - 7)*(p + 1)/10
Let j(y) be the second derivative of -8*y + 0 - 1/5*y**5 + 0*y**2 + 2/3*y**3 + 1/6*y**4 - 1/15*y**6. Factor j(l).
-2*l*(l - 1)*(l + 1)*(l + 2)
Let c = -2/11311 + 916195/22622. Factor c + 1/2*w**5 + 81*w**2 + 13/2*w**4 + 189/2*w + 33*w**3.
(w + 1)*(w + 3)**4/2
Let m(b) be the third derivative of -b**8/3360 + b**7/630 + b**6/90 - 2*b**5/15 - 5*b**4/4 - 32*b**2. Let u(t) be the second derivative of m(t). Factor u(a).
-2*(a - 2)**2*(a + 2)
Let l(a) be the first derivative of -a**4/14 - 6*a**3/7 - 8*a**2/7 + 248. Factor l(r).
-2*r*(r + 1)*(r + 8)/7
Suppose 2*p + 4*c - 40 = -0*c, 0 = -2*p - 5*c + 45. Let r(g) be the first derivative of 9/2*g**4 + 0*g + 0*g**2 + 14/5*g**5 - p + 4/3*g**3. Solve r(o) = 0.
-1, -2/7, 0
Let d(j) be the third derivative of 2/15*j**6 + 0 + 8/3*j**4 - 16/3*j**3 - 4/5*j**5 - j**2 + 0*j - 1/105*j**7. Factor d(f).
-2*(f - 2)**4
Let l(t) be the first derivative of t**3/3 + 99*t**2/2 + 98*t + 352. Let l(u) = 0. Calculate u.
-98, -1
Let i(l) be the second derivative of -l**6/35 + 19*l**5/70 - 11*l**4/21 - 8*l**3/7 - 14*l - 9. Solve i(k) = 0 for k.
-2/3, 0, 3, 4
Let r be ((-3788)/(-2841))/((-4)/(-9) - 0). What is w in 328/5*w**2 + 188/5*w**r + 208/5*w + 32/5 + 36/5*w**4 = 0?
-2, -1, -2/9
Suppose x = -x + 5*c + 33, x - 2*c - 14 = 0. Suppose 0*b**4 + 9*b**3 + 8*b**2 - 15 + 17 - 9*b - 2*b**4 - 8*b**x = 0. What is b?
-1, 2/5, 1/2, 1
Let h be ((-19)/(-5) - -1) + (-101)/(-505). Suppose -h*a + 1 - 1 = 0. Solve a*q + 2/5*q**2 + 0 = 0 for q.
0
Factor -5*w + 3*w**3 - 4*w**3 - 70740*w**2 + 70746*w**2.
-w*(w - 5)*(w - 1)
Let n be (-24)/(-8) + 83 + -1. Solve n - 81 + 6*w**4 - 8*w**2 - 2*w**4 = 0 for w.
-1, 1
Let q be (14/6 - 1)/((-21)/(-63)). Find k, given that -4*k**q - 6*k**3 + 12*k**4 + 2*k**4 - 20 + 40*k - 29*k**3 + 15*k**2 = 0.
-1, 1/2, 2
Let t(m) = 4*m**2 + 4*m - 6. Let s = 2 + -1. Let z(n) be the second derivative of -n**4/12 - 16*n. Let p(r) = s*t(r) + 2*z(r). Solve p(h) = 0.
-3, 1
Let s(b) be the third derivative of -1/10*b**5 + 12*b**2 + 7/40*b**6 + 2/35*b**7 + 0*b**4 + 0*b**3 + 0*b + 0. Factor s(o).
3*o**2*(o + 2)*(4*o - 1)
Let -33/2*g - 1/2*g**2 - 16 = 0. What is g?
-32, -1
Let p be (42/11 - (-20)/110) + -10. Let a be (25/45)/((-5)/p). Determine g, given that 8/3 + a*g**2 - 8/3*g = 0.
2
Suppose 5*c = 3*v + 13, -4*c - c + 11 = -v. Factor 21*g**3 + 2*g**2 + 16*g**3 - g**4 - 39*g**3 - 3*g**c.
-g**2*(g + 1)**2
Suppose b = -4*y + 81, -2*y = -6*y - 4*b + 96. Let f = -17 + y. Factor -27*n**2 + 8*n**f - 29*n**2 + 21*n**3 + 7 - 51*n + 11.
3*(n - 3)*(n + 1)*(7*n - 2)
Let w be 1/(20/4312) - (3 + -4). Let m = 217 - w. Factor 2/5*o + 0 + m*o**3 - 4/5*o**2.
2*o*(o - 1)**2/5
Factor -18 + 12*k**3 + k**4 + 43*k**2 - 30*k**2 - 3*k - 5*k**3.
(k - 1)*(k + 2)*(k + 3)**2
Let g(t) = 123*t**3 - 5*t + 5. Let s be g(2). Factor -981*m**3 + s*m**3 + m**4 - 3*m**4.
-2*m**3*(m + 1)
Factor 75*d**2 - 20*d + 4/3.
(15*d - 2)**2/3
Let x = 53 + -44. Factor -x*s**5 - 3*s**5 + 8*s**4 + 8*s**5 + 12*s**3.
-4*s**3*(s - 3)*(s + 1)
Let c(x) be the third derivative of -5*x**8/336 + 2*x**7/7 + 9*x**6/8 + 7*x**5/6 + 32*x**2. Factor c(f).
-5*f**2*(f - 14)*(f + 1)**2
Let x = 12 + -10. Suppose 4 = 3*j - x. Suppose 34*n - 30*n - 2*n**2 + 0*n**j + 6 = 0. Calculate n.
-1, 3
Let q(r) be the third derivative of -r**8/84 + 8*r**7/105 - 2*r**5/3 + r**4/6 + 4*r**3 + 2*r**2 + 4. Solve q(x) = 0 for x.
-1, 1, 2, 3
Let z(l) be the second derivative of -l**7/126 - l**6/45 + 7*l**5/60 - l**4/9 + 245*l. Factor z(c).
-c**2*(c - 1)**2*(c + 4)/3
Let i(s) be the third derivative of -s**5/180 - 7*s**4/72 - 161*s**2. Factor i(j).
-j*(j + 7)/3
Let b be ((-49)/51 + 1)*(-1178)/76. Let m = 1/17 - b. Factor 8/3*p**2 + 4/3 - m*p**3 - 10/3*p.
-2*(p - 2)*(p - 1)**2/3
Factor -43*t**2 + 4357*t**4 + t**2 - 4354*t**4 - 72*t + 3*t**3.
3*t*(t - 4)*(t + 2)*(t + 3)
Suppose 4*m + 5*b = 13, -b = -0 + 3. Suppose 4*l + 5*l - m*l**2 + 2*l**2 - 5 + l = 0. What is l?
1
Let f(i) be the first derivative of 0*i - 4/21*i**3 + 0*i**4 + 1/7*i**2 + 4/35*i**5 + 20 - 1/21*i**6. Factor f(u).
-2*u*(u - 1)**3*(u + 1)/7
Determine m, given that -23/2*m - 1/4*m**2 - 529/4 = 0.
-23
Suppose 3*h = -18 + 45. Factor 1 - 13*a + 3 - h - 7*a + 25*a**2.
5*(a - 1)*(5*a + 1)
Suppose -5*q + 0*q + 35 = 0. Let -11*s**2 - 2*s**3 + 4 - 16*s**2 + 4*s**3 - q*s**2 + 30*s**4 - 2*s = 0. What is s?
-1, -2/5, 1/3, 1
Let h(a) be the third derivative of a**6/27 - 37*a**5/270 + 7*a**4/108 + 10*a**3/27 + 5*a**2 - a. Suppose h(p) = 0. Calculate p.
-2/5, 1, 5/4
Suppose i + 4*i + 31 = v, -v + 2*i = -22. Suppose 4*l - v = 32. Suppose -15*f**4 - 4*f**5 + l*f - 45*f**3 + 21*f**4 + 19*f**5 + 12*f**2 = 0. What is f?
-2, -2/5, 0, 1
Factor -90*p**4 + 2730*p - 4720*p**3 + 2*p**5 + 5860*p**3 - 882 - 1573*p**2 - 1327*p**2.
2*(p - 21)**2*(p - 1)**3
Let o(u) = 17*u**3 - 7*u**2 - 53*u - 32. Let p(i) = i**4 + 67*i**3 - 27*i**2 - 213*i - 128. Let j(f) = -22*o(f) + 6*p(f). Let j(h) = 0. Calculate h.
-4, -2, -2/3, 2
Let v = 372/29 - 4034/319. Factor -v*f**5 - 2/11*f**2 + 2/11*f**3 + 0*f + 2/11*f**4 + 0.
-2*f**2*(f - 1)**2*(f + 1)/11
Let h(k) be the first derivative of -k**6/39 + 12*k**5/65 - 11*k**4/26 + 4*k**3/13 + 58. Let h(f) = 0. Calculate f.
0, 1, 2, 3
Let c(w) be the third derivative of -w**5/15 + 55*w**4/6 - 36*w**3 - 486*w**2. Find t such that c(t) = 0.
1, 54
Let -11*t - 41*t**3 - t - 24*t**3 - 24*t + 125*t**2 - 19*t - 5 = 0. Calculate t.
-1/13, 1
Let j(f) = -f**3 + f**2 - 3*f. Let l(v) = 11*v**5 + 31*v**4 - 176*v**3 + 158*v**2 - 6*v. Let t(r) = 6*j(r) + l(r). Determine i so that t(i) = 0.
-6, 0, 2/11, 1, 2
Let m(w) = 5*w**4 + 45*w**3 + 30*w**2 + 35*w. Let o(q) = -q**3 + q**2 - q. Let s(r) = -m(r) - 15*o(r). Factor s(v).
-5*v*(v + 1)**2*(v + 4)
Let g(d) be the first derivative of -1/3*d**4 + 3 + 1/30*d**5 + 0*d - d**2 + 4/3*d**3. Let j(f) be the second derivative of g(f). Factor j(z).
2*(z - 2)**2
Let o = -775 + 4651/6. Solve -o*n**5 + 0 + 1/2*n**3 - 1/3*n**4 + 2/3*n**2 - 2/3*n = 0.
-2, 0, 1
Let s(i) = i**5 + i**4 + i**3 + i - 1. Let r(y) = 3*y**5 + 3*y**4 + 7*y**3 + 2*y**2 + 5*y - 5. Let d(v) = 2*r(v) - 10*s(v). Factor d(n).
-4*n**2*(n - 1)*(n + 1)**2
Let i(v) be the first derivative of v**3/3 - 10*v**2 - 21*v - 4. Suppose i(p) = 0. Calculate p.
-1, 21
Let q = 20 + -10. Let c = -16 + q. Let j(k) = 2*k**3 + 3*k**2 - 2*k + 3. Let m(u) = 3*u**3 + 5*u**2 - 3*u + 5. Let i(n) = c*m(n) + 10*j(n). Factor i(y).
2*y*(y - 1)*(y + 1)
Let -52*b**3 - 174 + 180*b**2 + 9*b**3 + 3*b**4 - 312*b + b**3 + 366 = 0. Calculate b.
2, 8
Let x(f) = 2*f**3 - 31*f**2 + 97*f - 126. Let h(o) = o**3 - 15*o**2 + 49*o - 63. Let z(l) = -15*h(l) + 6*x(l). Suppose z(d) = 0. Calculate d.
3, 7
Suppose -80861*v + 12*v**2 + 54*v**4 + 21*v**5 + 80861*v + 45*v**3 = 0. What is v?
-1, -4/7, 0
Suppose 2*v - 19 - 9 = -4*o, 3*o - 12 = 3*v. Let d(j) be the second derivative of -2*j - 6*j**3 + 0 + 1/10*j**o + 6*j**2 - 9/10*j**5 + 13/4*j**4. Factor d(n).
3*(n - 2)**2*(n - 1)**2
Suppose -5*r - 4*n + 4 = 0, 0 = -2*r + 2*n + 3 - 5. Determine l, given that -1/7*l - 1/7*l**3 + r - 2/7*l**2 = 0.
-1, 0
Let b = -19 + 21. Factor -3*r**b - 6 + 18*r - 12 - 9.
-3*(r - 3)**2
Let a(i) be the first derivative of -18/5*i**5 - 12*i**3 - 6*i**2 - 39/4*i**4 - 28 + 0*i - 1/2*i**6. Factor a(w).
-3*w*(w + 1)**2*(w + 2)**2
Suppose 4*b - 12 = -2*j + 4, 0 = -5*b - 4*j + 23. Let -8*p**b - 8*p**2 - 5*p**3 + 17*p**3 = 0. Calculate p.
0, 2
Let s(d) be the first derivative of 9*d**4/2 - 50*d**3/3 - 53*d**2/9 - 2*d/3 + 75. Factor s(m).
2*(m - 3)*(9*m + 1)**2/9
Solve 94 - 106 - 15*z + 3*z - 3*z**2 = 0 for z.
-2
Let k(h) be the first derivative of -2*h**3/15 - 39*h**2/5 -