4 + 19*f**4 + 6*f**2 - 40*f**4 + 0*f**w - 2*f**5 + 2*f**3 = 0 for f.
-3, -1, 0, 1
Let y = 945 + -945. Let l(a) be the third derivative of -11*a**2 + 1/280*a**7 + 3/160*a**6 + 1/40*a**5 + 0*a**4 + 0*a + y + 0*a**3. Factor l(s).
3*s**2*(s + 1)*(s + 2)/4
Suppose 5*j + 2*r - 19 = 0, 17 = 4*j - r + 7. Factor 8921*u**2 - 2*u**j + 3*u - 8939*u**2 - 19*u.
-2*u*(u + 1)*(u + 8)
Let d = -65 + 41. Let m = 32 + d. Factor -56*y**2 - 2 + 234*y**4 - 24*y - 270*y**4 - m*y**5 - 2 - 64*y**3.
-4*(y + 1)**4*(2*y + 1)
Let n(w) = w + 1. Let r be n(7). Suppose 0 = a - 13 - 10. Factor -8 + a - 11 - r*i + 4*i**2.
4*(i - 1)**2
Suppose -18*w + 446 + 454 = 0. Let n = 78 - w. Let 31*s - 60*s**3 + 12*s + 8*s**4 + 17*s - n + 20*s**2 = 0. What is s?
-1, 1/2, 1, 7
Let b(l) be the third derivative of -l**7/7560 - l**6/540 - l**5/90 + 5*l**4/24 + l**3/6 - 2*l**2 + 31. Let i(k) be the second derivative of b(k). Factor i(s).
-(s + 2)**2/3
Let x(z) be the first derivative of -z**4/48 - 3*z**3/8 + 30*z - 72. Let i(o) be the first derivative of x(o). Factor i(a).
-a*(a + 9)/4
Let p = -110 - -112. What is s in 5*s**4 - 3*s + 12*s - 15*s**p + s = 0?
-2, 0, 1
Let b(m) be the second derivative of m**6/120 - 5*m**5/8 + 49*m**4/48 - 4242*m. Factor b(t).
t**2*(t - 49)*(t - 1)/4
Let n(b) = -7306*b + 2. Let j be n(0). Find z such that 54/13*z + 30/13*z**2 + j + 2/13*z**3 = 0.
-13, -1
Let v be 30/20 + -14*3/(-12). Suppose 4*a - 3 - v = -2*q, 3*a - 6 = -3*q. Find z such that 1/4*z**3 - 1/4*z**2 + 0 + q*z = 0.
0, 1
Factor -2*l**3 + 4*l**3 + 1140339*l - 139158*l - 642*l**2 + 311019*l + 3882*l**2.
2*l*(l + 810)**2
Solve 540 + 552*o + 3*o**3 + 595*o**2 - 231*o**2 - 217*o**2 = 0.
-45, -2
Let b be (-22)/((-7986)/(-99))*55/(-3). Solve -q**2 + 0 - 1/6*q**b + 1/3*q**4 + 0*q + 5/6*q**3 = 0.
-2, 0, 1, 3
Let a(d) = 2*d**3 + 175*d**2 + 259*d + 88. Let n be a(-86). Let z(s) be the first derivative of 0*s**n + 4/7*s**4 - 22 + 0*s + 2/7*s**3 + 2/7*s**5. Factor z(i).
2*i**2*(i + 1)*(5*i + 3)/7
Let l(q) be the first derivative of q**6/6 + 46*q**5/5 + 161*q**4/2 + 700*q**3/3 + 613*q**2/2 + 190*q + 1919. Let l(p) = 0. Calculate p.
-38, -5, -1
Let c = 291 + -288. Let l(b) be the first derivative of 8/5*b + 2/5*b**c + 11 + 126/25*b**5 + 24/5*b**2 - 47/5*b**4. Suppose l(w) = 0. Calculate w.
-2/7, -2/9, 1
Factor -17604*s - 577*s**2 + 158*s**4 + 4*s**5 + 130*s**4 + 12169*s**2 - 3136*s**3 + 8856.
4*(s - 3)**3*(s - 1)*(s + 82)
Let v(z) be the second derivative of z**7/42 - 4*z**6/5 + 119*z**5/20 + 50*z**4 - 600*z**3 - 3832*z. Factor v(i).
i*(i - 12)**2*(i - 5)*(i + 5)
Let o = 167 - 165. Let -15*f**2 + 4*f**3 + 459*f + 7*f**o - 454*f - 1 = 0. Calculate f.
1/2, 1
Let j(c) be the first derivative of -c**4/6 - 22*c**3 - 650*c**2/3 - 368*c - 9085. Factor j(a).
-2*(a + 1)*(a + 6)*(a + 92)/3
Let a(s) be the second derivative of -4*s - 1/30*s**5 + 14 - 1/189*s**7 - 1/45*s**6 + 0*s**3 - 1/54*s**4 + 0*s**2. Let a(z) = 0. Calculate z.
-1, 0
Factor 159554*s + 8*s**2 + 126 - 159418*s + 2*s**2.
2*(s + 1)*(5*s + 63)
Let a(x) = -3*x**2 + 232*x - 1152. Let l(i) = 4*i**2 - 231*i + 1166. Let z(s) = -9*a(s) - 8*l(s). Solve z(p) = 0 for p.
-52, 4
Suppose -4/3*w**2 - 84 - 32*w = 0. What is w?
-21, -3
Determine k, given that -4*k**2 + 310/7*k + 48 - 2/7*k**3 = 0.
-21, -1, 8
Factor 11*y**2 - 1175*y + 6263*y + 1617984 + 12*y**2 - 19*y**2.
4*(y + 636)**2
Let u(y) be the first derivative of -y**3/3 + 9*y**2/2 - y + 24. Let c be u(8). Find n, given that -15*n - 5 + 0 - c - 3*n**2 = 0.
-4, -1
Let r(k) be the first derivative of 5/3*k**3 + 45*k - 15*k**2 - 26. Factor r(a).
5*(a - 3)**2
Suppose 0 = 4*r + 2*x + 12, -10*r + x = -6*r - 36. Solve -2/13*w**2 - 2/13*w**r + 0*w + 2/13*w**4 + 2/13*w**3 + 0 = 0 for w.
-1, 0, 1
Let v(d) be the second derivative of -17*d**8/560 - 37*d**7/280 - d**6/20 + 4*d**3 - 3*d - 12. Let w(u) be the second derivative of v(u). Factor w(o).
-3*o**2*(o + 2)*(17*o + 3)
Let f(k) be the first derivative of k**3/2 + 945*k**2 + 3777*k/2 + 1615. Determine c, given that f(c) = 0.
-1259, -1
Let 15519*j**3 + 132*j**2 - j**5 + 63*j**4 + 5*j**5 - 3*j**5 - 15715*j**3 = 0. What is j?
-66, 0, 1, 2
Let n(o) = 19*o**4 - 59*o**3 - 230*o**2 - 56*o + 2. Let z(r) = 18*r**4 - 60*r**3 - 231*r**2 - 54*r + 3. Let a(x) = -3*n(x) + 2*z(x). Factor a(d).
-3*d*(d - 5)*(d + 2)*(7*d + 2)
Let x(o) be the second derivative of -o**5/10 + 9*o**4/2 + 121*o**3/3 + 93*o**2 - 358*o + 4. Factor x(h).
-2*(h - 31)*(h + 1)*(h + 3)
Let d(f) be the third derivative of f**5/150 - 911*f**4/15 + 3319684*f**3/15 + 12*f**2 + 209. Factor d(h).
2*(h - 1822)**2/5
Suppose 10*j = -61 - 59. Let x be (4/(-24))/(j/96). Suppose 4/3*w - x*w**2 + 8/3 = 0. What is w?
-1, 2
Suppose -1127 + 1319 = 8*j. Suppose -3*v + 8*v - j = -2*g, -3*g = -3*v + 6. Suppose 8/5*i**g + 8/5*i**3 - 12/5*i - 12/5*i**4 + 4/5*i**5 + 4/5 = 0. What is i?
-1, 1
Determine n, given that 12552820*n - 3*n**4 - 150*n**3 - 2799*n**2 - 12575920*n + 13602 - 84750 = 0.
-14, -11
Suppose -1/3*s**5 + 80/3*s**2 + 0 + 0*s - 59/3*s**3 - 20/3*s**4 = 0. Calculate s.
-16, -5, 0, 1
Let o(t) be the third derivative of t**8/84 + 232*t**7/105 + 1499*t**6/15 - 7076*t**5/5 + 11163*t**4/2 + 2466*t**2. Determine q, given that o(q) = 0.
-61, 0, 3
Let f be 459/405*(-412)/(-3502). Solve 0*s + 0 - 14/15*s**3 - 4/5*s**4 - f*s**2 = 0.
-1, -1/6, 0
Let t(b) be the second derivative of -b**4/6 - b**3/6 + b**2 + 121*b. Let l(k) = -45*k**2 + 24*k + 12. Let d(i) = -l(i) + 6*t(i). Let d(q) = 0. What is q?
0, 10/11
Let p(x) be the third derivative of x**5/9 - 2662*x**4/9 - 710*x**3/3 + 151*x**2. Factor p(t).
4*(t - 1065)*(5*t + 1)/3
Let o = 71755 - 498908/7. Let u = 483 - o. Determine k so that 40/7*k**3 - 20/7*k**4 + 20/7*k - u - 40/7*k**2 + 4/7*k**5 = 0.
1
Solve 17/3 + 6*i + 1/3*i**2 = 0.
-17, -1
Find c such that 18*c - 1/2*c**2 + 205/2 = 0.
-5, 41
Let z = -5673 - -5676. Let v(n) be the first derivative of 23 + 8/3*n**3 - z*n**2 + 1/2*n**4 - 36*n. Factor v(r).
2*(r - 2)*(r + 3)**2
Let w be ((-140)/(-8))/(-7)*(-3420)/55575. What is o in w*o**3 + 6/13*o - 20/13 + 12/13*o**2 = 0?
-5, -2, 1
Let c(t) be the second derivative of -t**6/285 - 5*t**5/38 + 13*t**4/6 - 29*t**3/3 + 330*t**2/19 + 7786*t. Find o, given that c(o) = 0.
-33, 1, 2, 5
Let a(v) = 5*v**4 + 9*v**3 + 2*v. Let o(r) be the first derivative of -6*r**5/5 - 5*r**4/2 - 3*r**2/2 + 62. Let i(k) = 7*a(k) + 6*o(k). Solve i(q) = 0 for q.
-1, 0, 2
Let y(h) = -5*h**2 + 45*h + 20. Let f(c) = 2*c + 2. Let i(z) = 10*f(z) - y(z). Factor i(s).
5*s*(s - 5)
Let h(v) be the third derivative of -v**7/255 - 19*v**6/1020 + v**5/85 - 103*v**2 + 7*v. Factor h(b).
-2*b**2*(b + 3)*(7*b - 2)/17
Let f(c) be the first derivative of -c**4/28 - 64*c**3/21 - 713*c**2/14 - 650*c/7 - 7170. Factor f(q).
-(q + 1)*(q + 13)*(q + 50)/7
Let i(n) be the first derivative of -125*n**3/7 + 255*n**2/14 - 6*n - 2901. What is h in i(h) = 0?
7/25, 2/5
Let a(j) be the second derivative of 0*j**2 + 0*j**4 - 173*j - 1/10*j**5 - 1/30*j**6 + 0*j**3 - 2. Factor a(y).
-y**3*(y + 2)
Let p(w) = 2*w**3 - 6804*w**2 - 6818*w + 3. Let t(g) = 25*g**3 - 81650*g**2 - 81815*g + 35. Let o(j) = 35*p(j) - 3*t(j). Factor o(v).
-5*v*(v - 1363)*(v + 1)
Let o(w) be the third derivative of w**6/120 + w**5/6 - 7*w**4/12 - 29*w**3/6 - w**2. Let g be o(-11). Factor 16*l**3 + l**5 - 13*l**3 - g*l**3.
l**3*(l - 1)*(l + 1)
Factor 4/7*m**2 - 284/7*m - 264.
4*(m - 77)*(m + 6)/7
Let j(n) = -n**2 + 85*n - 31 - 5*n**3 - 5 - 61*n + 33*n**2. Let k(f) = -f**3 + 11*f**2 + 8*f - 12. Let a(d) = -2*j(d) + 7*k(d). Factor a(q).
(q + 2)*(q + 3)*(3*q - 2)
Let k(j) be the first derivative of -65*j**3/3 + 175*j**2/2 + 60*j - 1431. Let k(p) = 0. What is p?
-4/13, 3
Let w(f) = -25*f**3 - 19*f**2 + 25*f + 16. Let v(n) = -n**3 + n**2 + n. Let j = 21 - 20. Let x(o) = j*w(o) + 3*v(o). What is a in x(a) = 0?
-1, -4/7, 1
Let h be (12/81)/(704/864). Let h*f**4 + 0 + 0*f**3 + 2/11*f**5 + 0*f**2 + 0*f = 0. What is f?
-1, 0
Let p(z) = 29*z**2 + 80*z + 340. Let l(a) = 21*a**2 + 78*a + 339. Let c(n) = -4*l(n) + 3*p(n). Factor c(q).
3*(q - 28)*(q + 4)
Let u(i) = -2*i**3 + 16*i**2 - 17*i + 15. Let n be u(7). Let m be 126/(-10)*n/18. What is w in 9/5*w**2 + m*w**3 - 12/5*w + 0 = 0?
-1, 0, 4/7
Let y(t) be the third derivative of t**7/20 - 341*t**6/80 + 119*t**5/20 + 6*t**4 - 3*t**2 - 158. Find z such 