8 = 3*i - 6*d + 5*d. Factor 28/5*f**i + 0 - 8/5*f.
4*f*(7*f - 2)/5
Let d(f) = 6*f**4 + 698*f**3 - 486*f**2 + 18*f. Let u(a) = -3*a**3 - a**2 + 3*a. Let z(m) = -d(m) + 6*u(m). Factor z(p).
-2*p**2*(p + 120)*(3*p - 2)
Suppose -17*f - 78 = -10. Let j be (22/7 + f)/((-2)/7). Suppose -5/3*m + 11/3*m**j - 2/3*m**2 + 2/3 - 2*m**4 = 0. Calculate m.
-2/3, 1/2, 1
Let k(m) = -m**3 + 46*m**2 + 153*m - 292. Let s be k(49). Solve -32*r + 0 - 8*r**s - 1/2*r**3 = 0.
-8, 0
Let z(n) be the first derivative of 0*n + 3*n**4 + 2/3*n**6 + 16/5*n**5 - 21 - 16/3*n**3 - 8*n**2. Factor z(j).
4*j*(j - 1)*(j + 1)*(j + 2)**2
Let a(k) be the first derivative of -k**5/15 - 5*k**4/2 - 124*k**3/9 + 5*k**2 + 125*k/3 + 1730. Suppose a(r) = 0. What is r?
-25, -5, -1, 1
Let i(k) = 30*k**2 - 27 - 24 + 62 + 4*k**3 - 100*k - 5*k**3. Let z(h) = -6*h**2 + 20*h - 2. Let p(n) = 2*i(n) + 11*z(n). Find o, given that p(o) = 0.
-5, 0, 2
Let n = 15632 + -31263/2. Factor -3/2 - 5/2*c - 1/2*c**2 + n*c**3.
(c - 3)*(c + 1)**2/2
Let c(l) be the third derivative of -l**8/2688 - l**7/30 - 781*l**6/960 + 17*l**5/48 + 77*l**4/6 + 98*l**3/3 - 1876*l**2. Determine y, given that c(y) = 0.
-28, -1, 2
Let f be 3*(1300/(-30))/(-13). Let q be ((-14168)/(-99))/14 - f. Factor 0 - 2/9*o + q*o**2.
2*o*(o - 1)/9
Let m(q) be the first derivative of 108*q**5/5 - 89*q**4/4 + 2*q**3 + 3342. Factor m(p).
p**2*(4*p - 3)*(27*p - 2)
What is r in 17225*r**3 + 3884*r + 3080*r**4 + 38874*r**2 - 160 + 2160*r**4 - 18204*r**2 + 4116*r + 525*r**5 = 0?
-4, -1, 2/105
Suppose -22*q - 38*q + 214*q = -246*q + 1200. Solve -36*v + 0 + 110/3*v**2 - 2/3*v**q = 0.
0, 1, 54
Factor -18 + 3/2*o**4 + 27/2*o**2 - 6*o + 9*o**3.
3*(o - 1)*(o + 2)**2*(o + 3)/2
Factor -34/9*x**2 - 4/3*x**3 - 2*x + 4/9.
-2*(x + 1)*(x + 2)*(6*x - 1)/9
Let r(c) be the first derivative of 3*c**4/16 - 3*c**3/2 - 15*c**2 - 4176. Factor r(p).
3*p*(p - 10)*(p + 4)/4
Suppose 8*g - 6*g = 6. Let f be 2365/15 - (-1)/g. Suppose -166*j - 12*j**2 + 321*j - f*j = 0. Calculate j.
-1/4, 0
Let z(l) be the third derivative of l**8/120960 + l**7/30240 - l**6/2160 - l**5/10 - l**4/24 - l**2 - 10. Let f(h) be the third derivative of z(h). Factor f(g).
(g - 1)*(g + 2)/6
Let o be 53*(-5106)/(-3922) - 66. Let y = -371/3 + 125. Find v such that -4/3*v**o + 8/3*v + y*v**2 + 0 = 0.
-1, 0, 2
Let 9305136375/2*f + 2823/2*f**4 + 9149401875/2 + 3/2*f**5 + 498435*f**3 + 78364275*f**2 = 0. Calculate f.
-235, -1
Suppose 51 + 2259 = -33*q. Let s be q/1155 - (-580)/858. Factor 6/13 + 2/13*c**2 - s*c.
2*(c - 3)*(c - 1)/13
Let 59/3*t**3 + 36*t + 13/3*t**4 + 12 + 119/3*t**2 + 1/3*t**5 = 0. Calculate t.
-6, -3, -2, -1
Let v(i) be the third derivative of 1/12*i**4 + 58*i**2 + 0 - 1/60*i**6 + 1/6*i**5 + 0*i - 5/3*i**3. Factor v(h).
-2*(h - 5)*(h - 1)*(h + 1)
Let x = 13226 + -13220. Let z(s) be the third derivative of -26*s**2 + 1/6*s**3 + 0*s + 0 + 1/8*s**4 + 1/120*s**x + 1/20*s**5. Factor z(f).
(f + 1)**3
Let u be ((-827)/(-4135) - (41/5 - -2)) + 126/11. Factor 10/11*g**4 - 96/11 - u*g**2 - 112/11*g + 24/11*g**3 + 1/11*g**5.
(g - 2)*(g + 2)**3*(g + 6)/11
Suppose -58 + 2 = 7*g. Let x(b) = b**2 + 1. Let r(n) be the second derivative of n**4/3 + 4*n**2 - 2*n. Let i(k) = g*x(k) + r(k). Factor i(q).
-4*q**2
Let s be 84/196 - (72/(-324) - (-1 + 1086/945)). Factor -96/5*w**3 - s*w**4 + 192/5 + 4/5*w**5 + 64/5*w - 32*w**2.
4*(w - 6)*(w - 1)*(w + 2)**3/5
Let c(x) be the second derivative of x**7/252 + 23*x**6/180 + 169*x**5/120 + 115*x**4/24 - 33*x**3/2 - 162*x**2 - 19*x - 9. Suppose c(g) = 0. Calculate g.
-9, -4, -3, 2
Let z(l) be the second derivative of l**6/35 + 81*l**5/70 + 78*l**4/7 + 332*l**3/7 + 720*l**2/7 - 14*l + 157. Solve z(t) = 0.
-20, -3, -2
Factor -a**3 + 20*a + 147*a**2 + 1366 + 44*a - 1298 - 134*a**2.
-(a - 17)*(a + 2)**2
Suppose 5 - 41 = -12*c. Suppose 3*i**2 - 591*i - 3*i**2 + 6 + 586*i + c*i**2 - 2*i**2 = 0. What is i?
2, 3
Let w be 1 - (22/33)/((-2)/3). Solve 18*f**3 + 140*f**4 - w*f**3 - 122*f**2 + 106*f**2 = 0.
-2/5, 0, 2/7
Let v be 3 + -3 + 4/2. Let q be (-14)/210 + (380/75 - -1 - 0). Find h such that -27/4*h**v + 6*h**3 - q*h + 15/4*h**4 + 3 = 0.
-2, -1, 2/5, 1
Let k(d) be the second derivative of d**6/25 + 91*d**5/100 + 113*d**4/20 + 9*d**3/5 + 9*d - 53. Determine r so that k(r) = 0.
-9, -6, -1/6, 0
Find v such that 57*v**2 - 43692*v**3 - 43698*v**3 + 87387*v**3 - 144*v = 0.
0, 3, 16
Let c = 13405/12 - 3350/3. Let d(z) be the second derivative of -15*z - c*z**4 + 0 + 20/3*z**3 - 10*z**2 + 1/6*z**6 - 5/4*z**5 + 5/42*z**7. Factor d(l).
5*(l - 1)**3*(l + 2)**2
Let b be 2 - (-44)/(-12) - (-330)/99. Let n(m) be the first derivative of -3*m**5 + 0*m**2 + 0*m - 15/4*m**4 - 12 - b*m**3 - 5/6*m**6. Factor n(h).
-5*h**2*(h + 1)**3
Factor -578/5*q + 146/5*q**3 - 88*q**2 + 8/5.
2*(q - 4)*(q + 1)*(73*q - 1)/5
Suppose -3156*h = -3312*h + 624. Solve -17/4*i**3 - 5/4*i**5 - 9/2*i**h + 0*i**2 + i + 0 = 0.
-2, -1, 0, 2/5
Let b(v) be the third derivative of -1 + 7/15*v**5 + 1/30*v**6 - 3*v**3 + 1/168*v**8 + 0*v - 1/21*v**7 + 7*v**2 - 1/4*v**4. Suppose b(y) = 0. Calculate y.
-1, 1, 3
Let y(k) be the second derivative of k**4/6 + 58*k**3/3 + 312*k**2 + 2*k + 2190. Find z, given that y(z) = 0.
-52, -6
Let j(n) = -n**3 - 26*n**2 + 149*n - 183. Let s be j(-31). Let p(o) be the first derivative of o**4 + 23 + 20/3*o**s + 8*o**2 + 0*o. Factor p(v).
4*v*(v + 1)*(v + 4)
Factor 70*z**2 - 26*z + 69*z - 43*z + 135*z**3 - 5*z**5 + 60*z**4.
-5*z**2*(z - 14)*(z + 1)**2
Let a be ((-12)/(-6))/(1/156). Suppose 0 - a*i**4 - 245*i**3 - 90*i**5 + 10*i + 2*i**2 - 59*i**3 - 78*i**2 + 4 = 0. Calculate i.
-2, -1, -1/3, 1/5
Let x be (-163)/(-4) - 21/28. Suppose -h + x = 3*h. Solve l**3 - 11*l**2 - h*l**2 + 22*l**2 = 0 for l.
-1, 0
Let k(w) = -10*w**2 + 34*w - 96. Let r(s) = -s**2 - s - 2. Let c(p) = k(p) - 6*r(p). Factor c(g).
-4*(g - 7)*(g - 3)
Factor 9*m**2 - 767*m**4 + 27*m**3 + 776*m**4 - 3*m**5 + 6*m**2.
-3*m**2*(m - 5)*(m + 1)**2
Suppose 126*j - 129*j + 15 = 0. Let c be (-1 + (6 - 4))*1/j. Factor -4/5*k - 8/5*k**2 - k**3 + 0 - c*k**4.
-k*(k + 1)*(k + 2)**2/5
Let v(s) be the third derivative of -s**5/15 + 330*s**4 + 40*s**2 + 46. Factor v(k).
-4*k*(k - 1980)
Let d(a) be the first derivative of a**9/5040 - 3*a**8/2800 + a**7/700 + 5*a**3/3 + 3*a**2/2 + 194. Let i(p) be the third derivative of d(p). Factor i(r).
3*r**3*(r - 2)*(r - 1)/5
Let p(k) = -3*k**3 + 2*k**2 + k. Let l = 0 - -36. Suppose 5*f = -f - l. Let z(v) = -v**2 + v. Let u(a) = f*z(a) + 3*p(a). Solve u(r) = 0 for r.
0, 1/3, 1
Let z(l) be the second derivative of -l**6/30 + 9*l**4/2 - 20*l**3/3 - 525*l**2/2 - 11*l + 43. Let z(h) = 0. What is h?
-7, -3, 5
Let a(w) be the first derivative of -5*w**4/12 + 220*w**3/9 - 2185*w**2/6 - 5290*w/3 + 330. Factor a(t).
-5*(t - 23)**2*(t + 2)/3
Let w(b) be the third derivative of b**7/315 + 77*b**6/180 + 151*b**5/90 + 25*b**4/12 + 2208*b**2. Factor w(m).
2*m*(m + 1)**2*(m + 75)/3
Find r, given that 0 - 20/7*r**4 + 8/7*r + 12/7*r**5 - 20/7*r**3 + 20/7*r**2 = 0.
-1, -1/3, 0, 1, 2
Let m = -1/4 - -3/4. Let z be (-4)/1*37/(-296). Factor m*b - z*b**3 - 1 + b**2.
-(b - 2)*(b - 1)*(b + 1)/2
Suppose 120*h - 87*h**3 + 8 + 102*h**2 - 66*h**3 + 33*h**5 - 8 - 102*h**4 = 0. What is h?
-1, -10/11, 0, 1, 4
Let u(s) be the first derivative of 2*s**3/9 - 624*s**2 + 584064*s - 2145. Find y, given that u(y) = 0.
936
Let i(j) = -j**3 + 20*j**2 - 98*j + 24. Let w be i(12). Let c(t) be the second derivative of w*t**2 - 1/9*t**3 + 7*t - 2/9*t**4 + 0. Factor c(p).
-2*p*(4*p + 1)/3
Let x(f) be the first derivative of -f**6/480 + f**4/96 + 3*f**2 - 5*f + 33. Let n(a) be the second derivative of x(a). Determine m so that n(m) = 0.
-1, 0, 1
Suppose -22*h + 1152 = -4*h. Suppose 10*g - 64 = -h. Factor 4/3*b**3 - 2/3*b + 2/3*b**2 + g.
2*b*(b + 1)*(2*b - 1)/3
Let x(y) be the first derivative of -y**4/4 + 8*y**3/3 + 13*y**2/2 - 140*y - 10602. Solve x(d) = 0 for d.
-4, 5, 7
Let x(j) be the second derivative of -j**6/60 + 11*j**5/40 - 43*j**4/24 + 23*j**3/4 - 9*j**2 - 177*j. Factor x(r).
-(r - 4)*(r - 3)**2*(r - 1)/2
Suppose 5217*z - 90 = 5221*z + 6*i, 68 = -4*i. Factor 8*y - 44/3*y**2 - 4*y**z + 32/3.
-4*(y - 1)*(y + 4)*(3*y + 2)/3
Let z(i) be the first derivative of 0*i + 0*i**4 + 0*i**2 - 63 - 4/5*i**5 + 12*i**3. Factor z(c).
-4*c**2*(c - 3)*(c + 3)
Let w(h) 