 - 1)**2*(d + 2)/2
Let m(n) be the third derivative of -n**5/180 + 479*n**4/36 - 319*n**3/6 + 10565*n**2. Factor m(d).
-(d - 957)*(d - 1)/3
Let z(t) = 7*t**2 + 6*t + 8. Let m be z(-3). Let k = 69 - m. Solve 4*x**2 + k*x - 5*x + x = 0 for x.
-3, 0
Let a be (-33*3/54 + 2)*(-1 + 3). Let p(v) be the second derivative of 16*v + 0*v**2 + 1/6*v**4 + 0 - a*v**3. Factor p(j).
2*j*(j - 1)
Factor -79648*u + 430332*u**2 + 35954*u + 772619*u + 126507*u + u**4 + 2548*u**3 - 1238*u**3.
u*(u + 2)*(u + 654)**2
Factor -4*s**3 - 2/3*s**4 + 0 + 28/3*s + 6*s**2.
-2*s*(s - 2)*(s + 1)*(s + 7)/3
Let n(g) be the second derivative of g**4/24 + 181*g**3/12 - 91*g**2/2 - 721*g. Factor n(x).
(x - 1)*(x + 182)/2
Let y(o) be the first derivative of o**5 + 125*o**4/2 + 1495*o**3 + 17000*o**2 + 92480*o - 459. Suppose y(x) = 0. Calculate x.
-17, -8
Let z(w) be the first derivative of -w**3/2 + 111*w**2/2 - 4107*w/2 + 533. Suppose z(v) = 0. What is v?
37
Suppose -t + 8 = 3*t. Let c be ((-16)/24 + 40/24)/(3/9). Find f such that 0 + 3/5*f**t - 3/5*f**c + 6/5*f = 0.
-1, 0, 2
Factor -56/19*b**2 + 2/19*b**4 + 0 - 6/19*b**3 + 0*b.
2*b**2*(b - 7)*(b + 4)/19
Let f(l) be the second derivative of 16/21*l**4 + 16/21*l**3 - 36 + 0*l**2 + 1/147*l**7 + 12/35*l**5 + l + 8/105*l**6. Factor f(z).
2*z*(z + 2)**4/7
Let n(c) = 2*c - 6. Suppose 24 + 11 = 5*v + 5*w, 5*w = v + 11. Let a be n(v). Factor 10 + 35*d + 7 - 60*d - 7 + 15*d**a - 5*d**4 + 5*d**3.
-5*(d - 1)**3*(d + 2)
Let j(x) = -25 + 7*x**2 + 4*x**3 - x**3 + 12 - 2*x**3 + 3*x. Let r be j(-6). Factor 10*c**3 + 9*c - 4 - 12*c**2 + 10*c - r*c - 2*c**4 - 6*c**2.
-2*(c - 2)*(c - 1)**3
Suppose -4*i = d - 3*i + 45, -2*d = 3*i + 95. Let q = 50 + d. Determine k, given that -6*k - q + 15*k**2 + 21*k - 20*k**3 - 5*k**2 + 5*k**5 = 0.
-2, -1, 1
Solve 25164*d + 4352 + 479*d**3 + 42*d**5 + 240*d**4 - 15504*d**2 - 1421*d**3 - 14*d**5 - 12128 - 1210*d**3 = 0.
-9, 3/7, 1, 8
Let p(k) = -5*k**2 - 2978*k + 2271037. Let r(a) = 11*a**2 + 5950*a - 4542072. Let s(w) = -26*p(w) - 12*r(w). Factor s(b).
-2*(b - 1507)**2
Let p(w) be the third derivative of w**6/80 + 21*w**5/40 + 9*w**4 + 80*w**3 + 2*w**2 - 76*w. Factor p(i).
3*(i + 5)*(i + 8)**2/2
Let t(q) be the first derivative of -2/3*q + 11/9*q**2 - 46 - 16/27*q**3. Factor t(f).
-2*(f - 1)*(8*f - 3)/9
Let t(j) = -4*j**4 + 8*j**3 - 60*j**2 + 40*j. Let q(y) = y**3 + y**2 - y. Let v(g) = 16*q(g) + t(g). Factor v(d).
-4*d*(d - 3)*(d - 2)*(d - 1)
Let l be (-2 - 155/(-75))*(-45)/(-20). Let g(p) be the second derivative of 0 - 16*p - 5/6*p**4 + 3/2*p**3 + l*p**5 - p**2. What is m in g(m) = 0?
1/3, 1, 2
Factor -4 - 475*c**2 - 17374*c**3 - 236 - 17328*c**3 + 598*c + c**4 + 34818*c**3.
(c - 2)*(c - 1)**2*(c + 120)
Factor -384 + 9*s**3 + 0*s**3 + 6*s**3 + 368*s - 80*s**2 + 8*s**3 - 27*s**3.
-4*(s - 2)**2*(s + 24)
Suppose -3 = -p - 1. Suppose 4*v + 4*q - 40 = 0, 5*v = -p*q + 9 + 35. Find h such that -4*h**3 + v*h**2 - 4*h + 108 - 108 = 0.
0, 1
Let a(x) = -122*x**2 - 117*x - 6 + 19*x**3 - 41 + 5 - 66*x. Let t(c) = c**3 + c**2. Let p(b) = a(b) + 2*t(b). Let p(s) = 0. What is s?
-1, -2/7, 7
Let i be 8*1 - 770/(-70). Let n(v) be the first derivative of -1/6*v**2 - i + 0*v**4 + 1/18*v**6 + 2/15*v**5 + 0*v - 2/9*v**3. Factor n(f).
f*(f - 1)*(f + 1)**3/3
Let u(g) be the first derivative of 4/5*g**5 + 0*g**3 - 11/2*g**4 + 0*g + 0*g**2 - 1/33*g**6 - 3. Let u(i) = 0. What is i?
0, 11
Factor -1/6*x**4 + 10/3 - 16/3*x + 5/3*x**3 + 1/2*x**2.
-(x - 10)*(x - 1)**2*(x + 2)/6
Determine h, given that 633*h - 285*h - 2*h**4 + 80 + 6*h**2 + 784 + 952*h - 8*h**3 - 424*h**3 = 0.
-216, -1, 2
Let i(x) = -23*x + 29. Let p be i(-9). Suppose -p = 7*n - 250. Determine q, given that 1/2*q**4 + q**3 - q**n - 1/2*q**5 + 1/2 - 1/2*q = 0.
-1, 1
Let u(s) be the third derivative of s**5/36 - 265*s**4/36 + 2525*s**3/18 + 3915*s**2. Factor u(w).
5*(w - 101)*(w - 5)/3
What is f in 616*f - 567 + 1529*f**2 + 2967 - 1525*f**2 = 0?
-150, -4
Let q(w) be the third derivative of 13*w**6/120 + w**5/30 - 13*w**4/24 - w**3/3 - 206*w**2 + 3*w. Let q(h) = 0. Calculate h.
-1, -2/13, 1
Let q(b) be the first derivative of -b**5/5 + 6*b**4 - 34*b**3/3 - 53*b - 146. Let l(c) be the first derivative of q(c). Suppose l(t) = 0. Calculate t.
0, 1, 17
Let l = 635/371 + -68/53. Let 1/7*d**5 - l*d**4 + 6/7*d**2 - 3/7 + 1/7*d - 2/7*d**3 = 0. What is d?
-1, 1, 3
Let b be (140/15)/((-12)/(-234)). Determine m so that -7*m - 176 + 346 - m**2 - b = 0.
-4, -3
Let a(b) = -8 + 5*b + 10 + 0*b - 24*b**2 + 4*b**3 + 3 + 8. Let m(j) = j**3 + j**2 - j - 3. Let z(i) = -5*a(i) + 5*m(i). Suppose z(t) = 0. What is t?
-2/3, 1, 8
Solve 0*a + 0 - 1/6*a**4 + 401/6*a**3 - 200/3*a**2 = 0 for a.
0, 1, 400
Suppose 3 - 14 = 11*f - 11. Let o(v) be the third derivative of f*v**3 + 0 - 23*v**2 + 1/12*v**4 + 1/20*v**5 + 0*v. Suppose o(l) = 0. Calculate l.
-2/3, 0
Let s(t) = 24*t**3 + 630*t**2 - 458*t - 192. Let n(m) = -m**3 - m**2 + m. Let r(k) = -4*n(k) - s(k). Factor r(f).
-2*(f - 1)*(f + 32)*(10*f + 3)
Let s(k) be the second derivative of k**4/60 + 1331*k**3/15 + 1771561*k**2/10 - 2*k - 2629. Factor s(f).
(f + 1331)**2/5
Let g be (-24)/192 + ((-1506)/(-144) - -5). Find r, given that 44/3 + 2/3*r**2 + g*r = 0.
-22, -1
Let j be 1 - (-13)/((-13)/54). Let t = j - -57. What is r in 10*r**2 - 8*r**t + 3 + 4*r**5 - 4*r**3 - 3 - 2*r**2 = 0?
-1, 0, 1, 2
Let r(o) be the third derivative of -7/180*o**6 + 0*o**3 + 1/18*o**5 - 1/36*o**4 - 2*o**2 - 6 + 0*o + 1/105*o**7. Solve r(s) = 0 for s.
0, 1/3, 1
Let j be (106/(-15))/(14/(-168)*20*3/15). Suppose -52/5 + j*k - 4/5*k**2 = 0. Calculate k.
1/2, 26
Let h(w) = 8*w - 38. Let u be h(5). Suppose -2*v = -5*k + 4, u*k - 19 = -4*v - v. Find q, given that -26*q**3 + 28*q**4 + 22*q**3 + 12*q**v = 0.
-2/7, 0
Let r(t) = 915*t**2 - 458*t**2 + 1 - 458*t**2. Suppose 2*s - 1 = -3. Let a(w) = -9*w**2 - 25*w + 4. Let d(k) = s*a(k) + 4*r(k). Suppose d(c) = 0. Calculate c.
-5, 0
Let a(g) = -g**2 + 13*g - 16. Let j be a(12). Let z be 3*(40/(-12) - j). Determine c so that -11*c**2 + 3*c + 23*c**2 - 6 - 9*c**z = 0.
-2, 1
Let d(f) be the second derivative of -f**4/42 + 235*f**3/7 - 255*f + 1. Factor d(r).
-2*r*(r - 705)/7
Let b(z) = 5*z**2 - 331*z - 60. Let r(d) = 6*d**2 - 333*d - 58. Let k(n) = -10*b(n) + 9*r(n). Find j such that k(j) = 0.
-78, -1/4
Find j, given that 0 - 123/2*j**3 - 645/2*j**2 - 525/2*j - 3/2*j**4 = 0.
-35, -5, -1, 0
Let p(h) be the third derivative of h**9/7056 + 3*h**8/3920 + h**7/980 + 71*h**3/6 + 7*h**2 + 1. Let j(i) be the first derivative of p(i). Factor j(v).
3*v**3*(v + 1)*(v + 2)/7
Let w(p) be the first derivative of 0*p**2 - 15*p**4 + 1 - 58 - 5*p**2 + 61*p**5 - 66*p**5 - 15*p**3. Determine l so that w(l) = 0.
-1, -2/5, 0
Let r(v) = 2*v - 25. Let f be r(14). Suppose f*o - 12 = 5*t, -3*o - 16 = -4*t - 28. Factor -20/3*w**3 - o*w**2 - 16/3 + 16*w.
-4*(w - 1)*(w + 2)*(5*w - 2)/3
Let b(x) be the third derivative of -1/60*x**6 + 0*x**3 - 2/105*x**7 + 0*x + 0*x**4 + 0 - 60*x**2 + 1/30*x**5. Factor b(q).
-2*q**2*(q + 1)*(2*q - 1)
Let l(k) be the third derivative of -k**7/210 + k**5/30 - 5*k**3/6 - 2*k**2 - 19*k. Let c(o) be the first derivative of l(o). Find d, given that c(d) = 0.
-1, 0, 1
Factor 4*a**3 + 80*a + 6371*a**2 + 0*a**3 - 6407*a**2.
4*a*(a - 5)*(a - 4)
Let c(k) be the first derivative of -k**3/3 + k**2/2 + k + 8. Let p(v) = -9*v**2 + 9*v + 12. Let g(l) = 6*c(l) - p(l). Factor g(d).
3*(d - 2)*(d + 1)
Let v(x) = -22*x**4 + 285*x**3 + 330*x**2 - 10977*x - 11023. Let m(p) = -2*p**4 + 26*p**3 + 30*p**2 - 998*p - 1002. Let h(c) = -46*m(c) + 4*v(c). Factor h(j).
4*(j - 10)**2*(j + 1)*(j + 5)
Let j = -67 + 37. Let d = -27 - j. Factor 35*f**2 + 15*f**d - 5*f**3 - 7*f**3 - 75*f + 45 - 8*f**3.
-5*(f - 3)**2*(f - 1)
Let t(f) be the third derivative of 0*f - 9/28*f**4 + 22/7*f**3 + 0 - 1/70*f**5 + 106*f**2. Factor t(j).
-6*(j - 2)*(j + 11)/7
Let t(n) be the third derivative of -n**6/160 + 23*n**5/240 + 5*n**4/48 - 2*n**3/3 - 596*n**2. What is p in t(p) = 0?
-1, 2/3, 8
Let d(g) be the third derivative of -4*g**2 + 0*g - 1/90*g**5 - 1/360*g**6 + 13/72*g**4 - 5/9*g**3 + 15. Determine v so that d(v) = 0.
-5, 1, 2
Let i(x) be the first derivative of 10*x**2 - x**5 + 0*x - 5/4*x**4 - 196 + 20/3*x**3. Factor i(c).
-5*c*(c - 2)*(c + 1)*(c + 2)
Suppose -147*s + 47 = -264 - 277. Let n 