et i(f) be the first derivative of 3*f**5/25 - 87*f**4/20 - 6*f**3 + 52. Factor i(d).
3*d**2*(d - 30)*(d + 1)/5
Let k(j) be the third derivative of -35/8*j**4 - 75/2*j**3 + 0*j + 1/24*j**6 + 1/12*j**5 + 11*j**2 - 4. Factor k(w).
5*(w - 5)*(w + 3)**2
Let m(r) be the third derivative of -1/42*r**7 + 10/3*r**3 - 5/6*r**4 + 0*r + 0 + 1/6*r**6 + 59*r**2 - 1/4*r**5. Factor m(x).
-5*(x - 2)**2*(x - 1)*(x + 1)
Suppose -131*a = -451*a + 228*a + 276. Solve 14*l + 2/9*l**a - 10/3*l**2 - 98/9 = 0 for l.
1, 7
Let v(c) be the third derivative of 326041*c**5/12 + 2855*c**4/4 + 15*c**3/2 + 91*c**2 - 2*c - 1. Factor v(t).
5*(571*t + 3)**2
Let f(a) be the second derivative of -a**7/378 - 41*a**6/270 + 44*a**5/45 - 5*a**4/3 - 856*a. Factor f(d).
-d**2*(d - 2)**2*(d + 45)/9
Let f(o) be the second derivative of -25*o**4/16 - 61*o**3/2 + 45*o**2/2 - 1695*o. Find j such that f(j) = 0.
-10, 6/25
Factor -97*p**2 - 95*p**2 - 9 + 17*p + 389*p**2 - 96*p**2 - 99*p**2.
(p + 9)*(2*p - 1)
What is h in -273/2 + 551/4*h - 1/4*h**3 - h**2 = 0?
-26, 1, 21
Factor 0 + 0*y - 36*y**2 + 11/6*y**4 - y**3 + 1/6*y**5.
y**2*(y - 4)*(y + 6)*(y + 9)/6
Let l(t) = 11*t - 2. Let j be l(1). Let k be 19 + j/((-9)/4). Factor -63*o**2 - 12 + k*o**4 - 27*o**5 + 36*o**5 - 48*o - 9*o**3 - 12*o**3.
3*(o - 2)*(o + 1)**3*(3*o + 2)
Let b(v) = v**3 - 15*v**2 + 28*v - 24. Let n be b(13). Factor 1702 + 23*c + n*c**2 + 54*c + 1340 + 79*c.
2*(c + 39)**2
Factor -8 + 1497*n + 818 + 521 + n**2 + 2*n**2 + 163.
3*(n + 1)*(n + 498)
Let z = 297 - 244. Suppose -51*r = -z*r + 10. Let 0 - 1/5*o + 0*o**4 - 1/5*o**r + 2/5*o**3 + 0*o**2 = 0. Calculate o.
-1, 0, 1
Factor 2992622*r**2 - 2992745*r**2 + 24 - 142*r + 4*r + 39*r**3.
3*(r - 4)*(r + 1)*(13*r - 2)
Let p(m) be the second derivative of m**4/24 + 9*m**3/4 - 35*m - 12. Solve p(f) = 0 for f.
-27, 0
Let n(q) be the third derivative of 0 + 3/2*q**3 + 13/8*q**4 + 1/112*q**8 - 131*q**2 + 9/20*q**6 + 1/10*q**7 + 0*q + 11/10*q**5. Let n(r) = 0. Calculate r.
-3, -1
Let -a**4 - 200*a**3 - 12496*a - 3*a**4 + 9680 + 8*a**4 + 89*a**2 + 2923*a**2 = 0. What is a?
1, 5, 22
Let u(a) be the third derivative of -11/2856*a**8 + 1/357*a**7 + 1/170*a**6 + 0*a**3 + 0 + 0*a**5 + 0*a**4 + 242*a**2 + 0*a. Find p such that u(p) = 0.
-6/11, 0, 1
Suppose 40 = 21*o - 2. Factor 0*r - 4 + 26*r**2 + 23*r**2 - 8*r - 53*r**o.
-4*(r + 1)**2
Suppose 331*w = -h + 326*w + 19, -5*w = -15. Let j(b) be the third derivative of 0 - 17*b**2 - 1/180*b**5 + 0*b**3 + 0*b - 1/36*b**h. Factor j(m).
-m*(m + 2)/3
Let -6 - 1/4*q**3 + 29/4*q - q**2 = 0. What is q?
-8, 1, 3
Let b be (-4 + 2 + 1)/(1 - 0). Let u = 3 + b. Suppose u*n + 8*n**2 - 4*n**3 + 2*n - 4*n**4 - 4*n**2 = 0. What is n?
-1, 0, 1
Let j(d) be the second derivative of d**7/147 + 17*d**6/105 + 15*d**5/14 + 33*d**4/14 - 121*d + 2. Factor j(z).
2*z**2*(z + 3)**2*(z + 11)/7
Let j(z) be the first derivative of -z**6/8 - 771*z**5/20 - 378*z**4 - 1502*z**3 - 2994*z**2 - 2988*z - 1637. Solve j(l) = 0.
-249, -2
Let g(r) = -10*r**2 - 1777*r - 1778. Let y(j) = j**2 - 5*j - 5. Let f(s) = 2*g(s) + 22*y(s). Find x such that f(x) = 0.
-1, 1833
Let t(s) = 13*s**2 + 86*s - 21. Let g(u) = -75*u**2 - 515*u + 126. Let y(h) = 3*g(h) + 17*t(h). What is r in y(r) = 0?
-21, 1/4
Let v be 102 + -107 + (-175)/30*-1. What is p in -1/3*p + v*p**2 + 0 - 2/3*p**3 + 1/6*p**4 = 0?
0, 1, 2
Determine w so that 116964/5*w - 4*w**4 + 6844/5*w**3 + 0 - 586188/5*w**2 = 0.
0, 1/5, 171
Suppose -5*d - b + 29 = 0, 0 = -5*d - 2*b + 10 + 18. Suppose 142*y + 120*y = -10*y. Factor d*s**2 + y + 3/2*s**3 + 6*s.
3*s*(s + 2)**2/2
Let d be 13398/2610 + (-2 - (5 - (2 + 0))). Solve -d*y**2 - 8/5*y - 18/5 = 0.
-9, -3
Let q(z) = 6*z**2 + 1560*z. Let y(b) = -14*b**2 - 3116*b. Let u(x) = -9*q(x) - 4*y(x). What is c in u(c) = 0?
0, 788
Let k = -64059 - -64059. Determine z, given that k*z**3 + 0*z + 1/2*z**2 - 1/8*z**4 + 0 = 0.
-2, 0, 2
Let b be 177/6*(11/2 + -6). Let a = 18 + b. Factor -5/4*h**2 - a*h - 7/4 + 1/4*h**3.
(h - 7)*(h + 1)**2/4
Let r(y) be the third derivative of 289*y**5/15 - 136*y**4/3 + 128*y**3/3 + 491*y**2. Determine z, given that r(z) = 0.
8/17
Let v = -96713987/900 - -107460. Let x(c) be the third derivative of -v*c**6 + 0 - 22*c**2 + 4/45*c**3 + 41/450*c**5 + 0*c - 8/45*c**4. Solve x(h) = 0 for h.
2/13, 1, 2
Let a(n) = 17*n**2 - 202*n - 3350. Let w(s) = 5*s**2 - 70*s - 1117. Let o(p) = -6*a(p) + 20*w(p). Factor o(d).
-2*(d + 14)*(d + 80)
Let a(b) be the first derivative of b**4/16 + 27*b**3/4 - 85*b**2/2 + 4086. Factor a(z).
z*(z - 4)*(z + 85)/4
Let w be ((-18)/(-5))/((-82)/(-410)). Let v be 6 - w*(-2)/(-6). Factor -2/3*r**2 + 2/9*r**3 + 4/9*r + v.
2*r*(r - 2)*(r - 1)/9
Let d(o) be the second derivative of -4 + 0*o**2 - 2/21*o**4 - 1/70*o**5 - 2*o + 5/21*o**3. Factor d(y).
-2*y*(y - 1)*(y + 5)/7
Let a be ((-264)/198)/((2/2)/51). Let m be (-10)/(-15) - a/(-30) - -2. Factor -m*b - 1/5*b**3 - 3/5*b**2 + 0.
-b*(b + 1)*(b + 2)/5
Let q(v) = 13*v**5 + 4*v**4 + 2. Let w = -111 - -109. Let l be -4 + 14 + -1*1. Let t(z) = 51*z**5 + 15*z**4 + 9. Let d(k) = l*q(k) + w*t(k). Factor d(r).
3*r**4*(5*r + 2)
Let r(q) be the third derivative of -q**7/42 + 3*q**6/2 - 17*q**5/2 + 125*q**4/6 - 55*q**3/2 + 162*q**2. Factor r(j).
-5*(j - 33)*(j - 1)**3
Suppose 1020/11 + 38/11*s - 2/11*s**2 = 0. Calculate s.
-15, 34
Let y(i) = 31*i**4 - 17*i**3 - 69*i**2 - 117*i - 5. Let k(r) = 118*r**4 - 66*r**3 - 276*r**2 - 468*r - 19. Let t(d) = -5*k(d) + 19*y(d). Factor t(a).
-a*(a - 13)*(a + 3)**2
Suppose 3*v - 317 = -5*d, -3*v + 98 = 3*d - 91. Find t such that -2074 - 24*t**2 + 4*t**3 + 2074 - d*t = 0.
-2, 0, 8
Suppose -54 = -3*n - 2*t - 16, -n + 3*t = -9. Let -33*y**5 + 123*y**2 - 90*y + n + 129/2*y**3 - 153/2*y**4 = 0. Calculate y.
-2, 2/11, 1/2, 1
Let l(y) be the second derivative of 2*y**7/21 + 256*y**6/15 + 4686*y**5/5 + 37760*y**4/3 + 174050*y**3/3 - 6616*y. Solve l(w) = 0 for w.
-59, -5, 0
Let c = 11858 - 106714/9. Let b(y) be the second derivative of c*y**2 - 2*y + 0 + 2/27*y**3 - 1/54*y**4. Let b(i) = 0. What is i?
-2, 4
Let l(p) be the third derivative of -p**6/540 - 89*p**5/270 + 92*p**4/27 - 124*p**3/9 + 1299*p**2. Determine y, given that l(y) = 0.
-93, 2
Let f be ((-14)/665)/((-4)/5). Let d(c) be the second derivative of 0 + 0*c**2 - 2/95*c**5 + f*c**4 + 1/285*c**6 - c + 0*c**3. Factor d(y).
2*y**2*(y - 3)*(y - 1)/19
Let -46/5*m + 26/5*m**2 + 14/5*m**3 + 12/5 - 6/5*m**4 = 0. What is m?
-2, 1/3, 1, 3
Let u = 151 + -149. Let o = 3554/7 - 39080/77. Factor -2/11*n - o*n**u + 4/11.
-2*(n - 1)*(n + 2)/11
Let r(k) be the first derivative of -k**6/18 - k**5/5 + 2*k**4/3 + 4*k**3/3 - 8*k**2/3 + 708. What is d in r(d) = 0?
-4, -2, 0, 1, 2
Find n such that -5*n**2 - 11/3*n**3 + 13/3 + 2/3*n**4 + 11/3*n = 0.
-1, 1, 13/2
Let d(k) be the third derivative of -k**7/105 + 7*k**5/30 - k**4/2 + 381*k**2 - 2*k. Suppose d(b) = 0. What is b?
-3, 0, 1, 2
Let j be ((-5)/((-25)/(-560)))/((-12)/282). Let u = j + -13062/5. Let 0*g - u*g**4 - 28/5*g**3 + 0 + 16/5*g**2 = 0. Calculate g.
-4/7, 0, 2/7
Let i(k) be the first derivative of -12 + 153664*k + 56*k**4 + 21952*k**2 + 4/5*k**5 + 1568*k**3. What is g in i(g) = 0?
-14
Let c(b) = 335*b**2 - 6711*b + 904. Let z(k) = -612*k**2 + 13422*k - 1806. Let t(x) = -9*c(x) - 5*z(x). Factor t(i).
3*(i - 149)*(15*i - 2)
Factor 0 + 5/8*v**4 - 15/8*v**2 - 9/4*v + 7/2*v**3.
v*(v - 1)*(v + 6)*(5*v + 3)/8
Let y(b) be the second derivative of -49*b**6/195 - 231*b**5/26 - 108*b**4/13 - 92*b**3/39 - 246*b. Let y(p) = 0. What is p?
-23, -2/7, 0
Let p be 1 + 405/63 + -6. Suppose -r = g - 4, -3*g + 2*r + r = -6. Factor 2/7*j**g + 8/7*j + p*j**2 + 0.
2*j*(j + 1)*(j + 4)/7
Let u(x) be the first derivative of 0*x**2 + 0*x - 4/11*x**4 + 0*x**3 + 1/33*x**6 - 71 + 14/55*x**5. Solve u(q) = 0.
-8, 0, 1
Let g(c) be the third derivative of c**6/600 - 7*c**4/120 - c**3/5 + 157*c**2 + 6*c. Factor g(t).
(t - 3)*(t + 1)*(t + 2)/5
Let g(b) be the first derivative of -155*b**3/12 + 245*b**2/8 + 100*b - 419. Factor g(r).
-5*(r + 1)*(31*r - 80)/4
Let a = -278803 + 278806. Factor 7/3*t**a + 29/3*t - 10*t**2 - 2.
(t - 3)*(t - 1)*(7*t - 2)/3
Let -3/7*n**5 + 0 - 480/7*n**2 + 0*n - 114/7*n**3 + 57/7*n**4 = 0. Calculate n.
-2, 0, 5, 16
Let q(u) be the third derivative of 7*u**6/1440 + 11*u**5/480 - u**4/16 - 89*u**3/2 + 171*u**2. Let