
2*(l - 34)**3/5
Let y(i) be the third derivative of 0 + i**2 - 3/2*i**4 + 0*i - 1/30*i**6 + 0*i**3 - 2/5*i**5. Suppose y(v) = 0. What is v?
-3, 0
Let i be ((-4)/(-34))/((-302)/(-5134)). What is h in 1/4*h**3 + 0 + 0*h + 3/4*h**i = 0?
-3, 0
Let b(p) be the first derivative of -p**5/130 + p**3/13 + 2*p**2/13 - 3*p + 31. Let t(v) be the first derivative of b(v). Factor t(r).
-2*(r - 2)*(r + 1)**2/13
Let i(f) = 22*f**2 + 324*f + 266. Let p(x) = 9*x**2 + 130*x + 106. Let o(a) = 5*i(a) - 12*p(a). Factor o(j).
2*(j + 1)*(j + 29)
Let j(v) = -v**3 + v**2 + 1. Let h(d) be the first derivative of 4 + 5*d - 9/4*d**4 + 5/3*d**3 + 2*d**2. Let c(a) = h(a) - 5*j(a). Let c(y) = 0. What is y?
-1, 0, 1
Suppose -44 = -13*s - 9*s. Factor 2/3*d**s + 1/3*d + 0 + 1/3*d**3.
d*(d + 1)**2/3
Let c(p) = -p**3 + 7*p**2 - 5*p + 4. Let i be c(6). Factor -12*o - i*o**2 - 4*o**3 + 0*o**3 - 4 - 2*o**2.
-4*(o + 1)**3
Let q = 165 - 150. Let g be (q/6 + -2)/((-6)/(-4)). Suppose -g - 1/3*j**2 - 2/3*j = 0. Calculate j.
-1
Factor 1/2*k**4 - 1/4*k**3 - 1/2*k**2 + 0 + 0*k + 1/4*k**5.
k**2*(k - 1)*(k + 1)*(k + 2)/4
Let d be 1/4 + 893/188. Let m(o) be the third derivative of 1/4*o**4 + 3*o**3 + 0 + 0*o - 10*o**2 - 1/15*o**6 - 4/15*o**d. Solve m(h) = 0 for h.
-3/2, 1
Let j be ((-8)/(-818))/((-105)/(-30009)). Let o = j - -2/409. Factor -4/5*v**2 + 0 + o*v**3 + 0*v + 8/5*v**4.
2*v**2*(v + 2)*(4*v - 1)/5
Factor -64*v - 8*v**3 - 128/3 - 2/3*v**4 - 104/3*v**2.
-2*(v + 2)**2*(v + 4)**2/3
Let y(b) be the third derivative of -b**7/280 + b**6/300 + 22*b**3/3 - 11*b**2. Let n(i) be the first derivative of y(i). Suppose n(f) = 0. What is f?
0, 2/5
Let v(a) be the third derivative of -a**7/945 - a**6/270 + a**5/54 + a**4/18 - 100*a**2. Solve v(z) = 0 for z.
-3, -1, 0, 2
Let u = -45249/2 - -22625. Factor -u*h**2 + 1/2 + 2*h - 2*h**3.
-(h - 1)*(h + 1)*(4*h + 1)/2
Suppose -61 = -19*v + 91. Let 2*c**3 + 8*c + 146 - v*c**2 - 146 = 0. What is c?
0, 2
Let q = 50189/4 + -12547. Factor 1/4*o**2 - q*o - 1/2.
(o - 2)*(o + 1)/4
Suppose 0 = -4*o - a + 14, 6*a - 4 = -4*o + 10*a. What is s in -11*s**3 - 4*s**5 + s**5 + 3*s**2 - 3*s**4 + 14*s**o = 0?
-1, 0, 1
Let c(b) = -2*b**2 - 20*b + 3. Let a be c(-10). Let g(y) be the first derivative of -7 + 8/3*y**a - y**2 - 6*y. Factor g(h).
2*(h - 1)*(4*h + 3)
Let d(f) = -26*f**2 + 35*f - 21. Let m(n) = 14*n**2 - 18*n + 10. Let j(u) = -6*d(u) - 11*m(u). Determine g so that j(g) = 0.
2, 4
Let t(v) = -26*v**2 + v - 2. Let y be t(1). Let u = y - -29. Factor 2*w - u*w**3 - 4*w**4 + 6*w + 4 - 6*w**3.
-4*(w - 1)*(w + 1)**3
Suppose 14*t - 9*t - 860 = 0. Find s such that t + 15*s - 17*s**2 + 10*s**2 - 127 - 18*s**2 + 5*s**3 = 0.
-1, 3
Suppose -2*g - 6 = -50. Determine c, given that 11*c**3 + 14*c**2 - 15*c**4 - 13*c**3 - g*c**3 - 2*c**2 = 0.
-2, 0, 2/5
Let f(o) be the third derivative of -1/900*o**6 + 0*o - 10*o**2 + 0*o**4 + 0*o**5 + 0 + 5/6*o**3. Let v(w) be the first derivative of f(w). Factor v(h).
-2*h**2/5
Let y(t) be the second derivative of -26*t + 0 - 14/5*t**2 + 1/25*t**5 - 26/15*t**3 - 1/3*t**4. Let y(i) = 0. What is i?
-1, 7
Let b(x) be the first derivative of -3/16*x**4 + 3/8*x**2 + 0*x**3 + 17 + 0*x. Factor b(r).
-3*r*(r - 1)*(r + 1)/4
Let h = -1703/5 - -1729/5. Let 4/5*r**2 + h*r**4 - 4/5*r + 7/5*r**5 + 0 + 27/5*r**3 = 0. Calculate r.
-2, -1, 0, 2/7
Let k(n) be the second derivative of -6*n**3 + 20*n - 54*n**2 + 0 - 1/4*n**4. Factor k(m).
-3*(m + 6)**2
Factor -g - 7*g + 2*g**2 + 0 - 12 - 2*g + 0.
2*(g - 6)*(g + 1)
Solve 40*y - 2/3*y**4 + 0 + 34/3*y**3 - 152/3*y**2 = 0.
0, 1, 6, 10
Let w(o) = 15*o - 868. Let d be w(58). Let -10/7*n + 8/7*n**d + 4/7 - 2/7*n**3 = 0. What is n?
1, 2
Let i(z) be the second derivative of z**5/40 + z**4/8 - 2*z**3 + 7*z**2 - 237*z. Determine s so that i(s) = 0.
-7, 2
Let x be ((-30)/(-55))/((-9)/(-60)). Find u such that 320/11*u**3 + 2560/11*u - x*u**4 + 2/11*u**5 - 2048/11 - 1280/11*u**2 = 0.
4
Let s be (-4 + 12)*(-69)/(-36). What is b in s*b - 10/3*b**4 - 18*b**3 + 22/3*b**2 - 4 + 8/3*b**5 = 0?
-2, -1, 1/4, 1, 3
Let n = -21 - -27. Let q be (-4)/(-2) + (n - 6). Solve -33 + 15*c - 3*c + 8*c**q + 37 = 0 for c.
-1, -1/2
Let i(f) be the second derivative of -8*f + 0 - 1/20*f**5 - 1/4*f**4 - 1/2*f**2 - 1/2*f**3. Factor i(w).
-(w + 1)**3
Suppose 57 = 17*p - 45. Let d(a) be the first derivative of 25/18*a**6 - 3*a**5 - p + 0*a + 2*a**4 - 4/9*a**3 + 0*a**2. Suppose d(f) = 0. What is f?
0, 2/5, 1
Let o(g) be the first derivative of 3*g**4/28 + 8*g**3/21 - 5*g**2/14 - 6*g/7 - 15. Factor o(m).
(m - 1)*(m + 3)*(3*m + 2)/7
Let m = 1602 - 1599. Let x(f) be the third derivative of 0*f**4 + 0*f**m + 0 + 1/180*f**6 + 0*f - 1/90*f**5 - f**2. Determine l, given that x(l) = 0.
0, 1
Find f, given that 9/2*f + 33/4*f**2 + 0 + 9/2*f**3 + 3/4*f**4 = 0.
-3, -2, -1, 0
Determine m, given that 5/4 + 17/8*m + 3/8*m**2 = 0.
-5, -2/3
Let t be 84/(-9)*6/(-8). Suppose -2*a - 10 = -t*a. Factor 2*k**3 + a*k**3 + 0*k**3.
4*k**3
Let i(u) be the first derivative of 0*u - 7 + u**3 + 0*u**2 + 15/4*u**5 - 15/4*u**4. Factor i(a).
3*a**2*(5*a - 2)**2/4
Let j(m) be the first derivative of 2*m**3/45 - 8*m**2/15 + 14*m/15 + 124. Factor j(g).
2*(g - 7)*(g - 1)/15
Suppose 8 = 2*i - z + 4*z, z = i - 4. Let p(h) be the first derivative of -3/4*h**2 - 3/10*h**5 - 3/2*h - i + 3/4*h**4 + h**3 - 1/4*h**6. Solve p(l) = 0 for l.
-1, 1
Let v = 61/130 + 2/65. Let n be ((-25)/(-6))/(74 - 69). Determine j so that 1/6*j**4 + 1/6*j**3 - v*j**2 - 1/3 - n*j = 0.
-1, 2
Let -175448/3*p**2 + 1/3*p**5 - 3136*p + 9407/3*p**3 - 56*p**4 + 175616/3 = 0. What is p?
-1, 1, 56
Suppose 0*a - 2 = -a. Factor -15 - 2*c**2 - 3 + 0*c**a + 12*c.
-2*(c - 3)**2
Let c = 50 - 43. Let i(o) = -o**2 + 5*o + 18. Let s be i(c). Factor -5/3*n**3 + 0 - 4/3*n**s - 2/3*n**2 - 1/3*n**5 + 0*n.
-n**2*(n + 1)**2*(n + 2)/3
Let n(y) be the first derivative of 1/25*y**5 - 2/5*y**2 + 1/5*y**3 - 4/5*y + 1/5*y**4 + 3. Solve n(z) = 0.
-2, -1, 1
Let p be 832/143 + 2/11. Suppose p = -j + 3*j. Suppose -f**j - 12*f - 3 - 6*f**2 + 0 - 9*f**2 - 5*f**3 = 0. What is f?
-1, -1/2
Let b be (-25)/(-10) - (-1)/(-2). Factor 0*f - b*f - f**2 - 9 - 4*f + 0*f**2.
-(f + 3)**2
Let f(w) be the first derivative of -2*w**5/5 - 3*w**4/5 + 8*w**3/15 + 6*w**2/5 + 2*w/5 - 28. Find b such that f(b) = 0.
-1, -1/5, 1
Suppose 102*f**4 + 99*f**2 + 109*f**4 - 216*f**4 + 45*f**3 + 11*f**2 = 0. Calculate f.
-2, 0, 11
Let g(w) be the first derivative of -w**4/30 - 4*w**3/15 - 3*w**2/5 - 10*w - 6. Let i(z) be the first derivative of g(z). Factor i(r).
-2*(r + 1)*(r + 3)/5
Let i(v) be the first derivative of -2*v**3/3 - 3*v**2 - 312. Suppose i(t) = 0. Calculate t.
-3, 0
Let a = 645/2584 + 1/2584. Solve -1/2*n + a*n**2 + 1/4 = 0 for n.
1
Let k(s) be the third derivative of 2*s**6/105 - s**5/14 - 2*s**4/21 + 5*s**3/7 - 248*s**2. Factor k(w).
2*(w - 1)*(w + 1)*(8*w - 15)/7
Let t(r) = -6*r - 14. Let q be t(-2). Let b be (-3 - (q + -1))/(3/(-3)). Determine u, given that b*u - 2/3 + 2/3*u**2 = 0.
-1, 1
Let o = 16599 + -82991/5. Find a, given that -1/5*a**3 + 3/5*a - o*a**2 + 18/5 = 0.
-3, 2
Let g be (1/4)/((-11)/12 - -1). Suppose -10 - 30*w**4 + 16*w + 5*w**5 + 35*w - 80*w**2 + 70*w**g - 6*w = 0. What is w?
1, 2
Let d(g) = g**2 - 3*g + 1. Let p(x) = 5*x**2 - 144*x - 3963. Let y(v) = 6*d(v) - p(v). Solve y(c) = 0 for c.
-63
Let z be 2/(-35)*-5*-42*4/(-36). Suppose -z*y**2 + 4/9*y + 0 = 0. Calculate y.
0, 1/3
Factor 1469 - 1479 + 15*f + 30*f - 35*f**2.
-5*(f - 1)*(7*f - 2)
Let o(b) be the second derivative of -1/48*b**4 + 5*b + 1/40*b**5 + 0 + 1/120*b**6 - 1/12*b**3 + 0*b**2. Factor o(d).
d*(d - 1)*(d + 1)*(d + 2)/4
Suppose -280*m**3 + 190*m**2 - 353*m**2 + 30*m + 240*m**4 - 5 + 178*m**2 = 0. Calculate m.
-1/3, 1/4, 1
Factor 3/5*h**3 + 33/5*h**2 - 87/5*h - 117/5.
3*(h - 3)*(h + 1)*(h + 13)/5
Let 676*h**2 + 171125*h + 6*h**3 + 1174*h**2 - 6*h**3 + 5*h**3 = 0. Calculate h.
-185, 0
Let x(t) = -t**2 - t + 1. Let r(l) = 2*l**2 - 175*l - 808. Let i(p) = -2*p**2 + 87*p + 404. Let d(g) = -7*i(g) - 4*r(g). Let h(o) = -d(o) - x(o). Factor h(s).
-5*(s + 9)**2
Let w be -3*42/72 + (-145)/(-60). Factor w*m**2 + 0 + 0*m - 2/9*m**3.
-2*m**2*(m - 3)/9
Suppose 2*g = y + 3*g - 4, 3*y - 12 = 2*g. Suppose -3*a + 2*a + 8 = -l, 0 = -a + y*l + 23. Factor -z**a + 2*z + 0 - z - z**2 + 1.
-(z - 1)*(z + 1)**2
