*6/225 - f**5/50 - f**4/10 - f**3/9 + 1398*f. Factor s(w).
2*w*(w - 5)*(w + 1)**2/15
Let s(u) be the third derivative of -25*u**7/42 + 155*u**6/12 - 121*u**5/12 + 5*u**4/2 - 2507*u**2. Factor s(i).
-5*i*(i - 12)*(5*i - 1)**2
Let t(o) be the first derivative of 4*o**3/9 - 1352*o**2/3 + 900*o - 12094. Factor t(d).
4*(d - 675)*(d - 1)/3
Let m = -10463 - -115095/11. Factor 0 + 6/11*t**2 + 8/11*t**3 - m*t.
2*t*(t + 1)*(4*t - 1)/11
What is b in -54*b - 2*b**3 - 240*b + 362*b + 412*b - 86*b**2 = 0?
-48, 0, 5
Let k(b) = -17*b + 70. Let s be k(4). Let -5*a**2 + s*a**2 - 18*a + 15*a = 0. What is a?
-1, 0
Let v be 0*4/(-36)*3. Factor -5*b**3 - 10*b**4 + 4*b**5 + v*b**5 + 10*b**2 + b**5.
5*b**2*(b - 2)*(b - 1)*(b + 1)
Let b(n) be the second derivative of n**4/24 + 53*n**3/4 - 243*n**2/2 + 8916*n. Let b(u) = 0. Calculate u.
-162, 3
Let h(x) be the third derivative of -50/3*x**3 + 0*x + 0 - 1/15*x**5 + 43*x**2 - 5/3*x**4. Solve h(t) = 0 for t.
-5
Let s(x) be the third derivative of x**7/1365 + x**6/780 - x**5/65 - 186*x**2. Factor s(f).
2*f**2*(f - 2)*(f + 3)/13
Let b = 131137867/383164 + 3/95791. Suppose -1295/4*h - 73/4*h**2 - 1/4*h**3 + b = 0. Calculate h.
-37, 1
Let m = -264 - -234. Let d(z) = 23*z**2 - 10*z - 33. Let c(j) = -4*j**2 + 2. Let x(r) = m*c(r) - 5*d(r). Factor x(h).
5*(h + 3)*(h + 7)
Factor -3/4*w**2 - 81/2 - 63/4*w.
-3*(w + 3)*(w + 18)/4
Suppose -3*r + 8 = -3*w - 16, -3*r - 3*w = 0. Solve 2*h**r - 72*h**3 - 416*h - 2176*h + 648*h**2 + 3888 + h**4 = 0 for h.
6
Suppose -325/3*y + 164/3*y**2 + 54 - 1/3*y**3 = 0. Calculate y.
1, 162
Factor 2/7*a**3 + 0*a + 96/7*a**2 + 0.
2*a**2*(a + 48)/7
Find r, given that 4/5 + 24842205*r**2 + 8916*r = 0.
-2/11145
Let l(c) = 10*c - 29. Let k be l(-30). Let f = k - -331. Factor -b + 0 + 3*b**f + 9/4*b**3 - 7/4*b**4.
-b*(b - 2)*(b + 1)*(7*b - 2)/4
Let w(s) = s**2 - 5*s + 3. Let c(v) = -3. Let x(f) = -2. Let i(p) = -c(p) + 2*x(p). Let y(o) = 3*i(o) + w(o). Factor y(d).
d*(d - 5)
Determine l so that -2*l**4 - 883*l - 4109*l - 5408 - 92*l**2 - 852*l**2 + 96*l**3 = 0.
-2, 26
Factor 13/5*u**4 + 0 - 8/5*u**3 - 6/5*u**5 + 0*u + 1/5*u**2.
-u**2*(u - 1)**2*(6*u - 1)/5
Suppose -84 = -20*l + 16. Let i(u) = 8*u**2 + 326*u - 4042. Let r(x) = -3*x**2 - 109*x + 1347. Let w(o) = l*i(o) + 14*r(o). Let w(c) = 0. Calculate c.
26
Suppose -12*p - 3194 = -3266. Let l(o) be the second derivative of 0*o**2 + 0*o**p - 20/3*o**3 - 17/10*o**5 + 0 + 16*o + 1/21*o**7 + 6*o**4. Factor l(b).
2*b*(b - 2)**2*(b - 1)*(b + 5)
Let o(u) be the first derivative of -6*u**2 - 3/20*u**5 - 4*u**3 - 5/4*u**4 - 14 - 19*u. Let k(r) be the first derivative of o(r). Factor k(f).
-3*(f + 1)*(f + 2)**2
Factor -6/5*x - 27/5 + 1/5*x**2.
(x - 9)*(x + 3)/5
Let n(r) = -r**2 + 14*r + 12. Let y be n(16). Let g be (-6)/y*(6 - (-248)/(-48)). Determine t so that 0 + 0*t**2 - 3/4*t**3 - g*t**4 + t = 0.
-2, 0, 1
Solve 2/9*k**5 + 868562/9*k**3 + 0 + 0*k**2 + 0*k + 2636/9*k**4 = 0 for k.
-659, 0
Solve -5*v**2 + 107*v**3 + 3*v**4 - 4*v**2 + 19*v**3 - 234 - 357*v - 9*v**3 = 0.
-39, -1, 2
Let p = 194231 + -971107/5. Find q such that -42/5*q**5 + 0 - p*q**2 + 54/5*q**3 + 68/5*q**4 + 8/5*q = 0.
-1, 0, 2/7, 1/3, 2
Let s(k) be the third derivative of -k**7/350 - 81*k**6/200 - 2187*k**5/100 - 19683*k**4/40 - 256*k**2. Factor s(y).
-3*y*(y + 27)**3/5
Suppose -29*z + 6*z + 1656 = 0. Let d be (z/120)/(3 + -2). Factor -9/5*o**2 + 0*o + 0 - d*o**3.
-3*o**2*(o + 3)/5
Let 37805*z**2 - 66 + 75 + 294*z - 37806*z**2 + 286 = 0. What is z?
-1, 295
Let v(g) be the third derivative of -g**5/30 + 8*g**4 - 704*g**3/3 + g**2 - 4432*g. Factor v(t).
-2*(t - 88)*(t - 8)
Let f be 110/(-16) + 43/344 - -8. Suppose -4 = 5*a - 2*n, 4*n = -4*a - 2 + 10. Factor a - 5/2*x + 25/4*x**2 + f*x**4 - 5*x**3.
5*x*(x - 2)*(x - 1)**2/4
Suppose 2058 = 4*h + 3*y, -5*y + 8*y + 2046 = 4*h. Suppose h*b = 517*b - 144. Factor -3/2*z**4 - 12*z**3 - 33*z**2 - 27/2 - b*z.
-3*(z + 1)**2*(z + 3)**2/2
Let a(j) = 11*j - 6. Let c be a(1). Factor 42 + 39*h + c*h + 20*h**2 + h - 23*h**2 - 6*h.
-3*(h - 14)*(h + 1)
Let n(u) be the first derivative of -8/7*u**2 - 2/7*u**3 + 1/7*u**4 + 75 + 2/35*u**5 - 8/7*u. Factor n(f).
2*(f - 2)*(f + 1)**2*(f + 2)/7
Factor 9/2*p - 7 - 1/2*p**3 + 3*p**2.
-(p - 7)*(p - 1)*(p + 2)/2
Let v = 14175 - 98775/7. Let h = -1765/28 + v. Factor 1/4*f**3 - h*f - 1/4*f**4 + 1/2 + 3/4*f**2.
-(f - 1)**3*(f + 2)/4
Let d(t) = t**3 + 11*t**2 + 11*t + 9. Let x be d(-7). Solve 19*p - 58*p + x - 12*p**2 - 145*p = 0 for p.
-16, 2/3
Factor -14*m**3 - 50/13*m**4 - 246/13*m**2 - 32/13 - 146/13*m.
-2*(m + 1)**3*(25*m + 16)/13
Let z(x) be the third derivative of 0*x**3 - 1/672*x**8 - 7/120*x**5 + 0*x - 123*x**2 - 1/48*x**6 + 1/8*x**4 + 1 + 1/60*x**7. Find r such that z(r) = 0.
-1, 0, 1, 6
Let n(f) be the first derivative of 2*f**6/15 - 26*f**5/5 + 25*f**4/3 - 71*f + 90. Let o(i) be the first derivative of n(i). Factor o(u).
4*u**2*(u - 25)*(u - 1)
Suppose 10*h = 40 + 100. Suppose 5*w = 4*u + h, 5*w + 41*u = 46*u + 15. Factor -16/9*s - 16/9*s**3 - 8/3*s**w - 4/9*s**4 - 4/9.
-4*(s + 1)**4/9
Let f be 494/38*2/13. Find v, given that -4*v**2 + 88*v + 3316 - 5*v - 964 + 85*v + 7*v**f = 0.
-28
Let r(n) be the second derivative of -1/10*n**3 - 36*n - n**2 + 1/60*n**4 + 0. Find l, given that r(l) = 0.
-2, 5
Let b = 1212 + -1189. Suppose 39*m - 55 = b. Factor 0 + 2/11*p**3 + 4/11*p**m + 2/11*p.
2*p*(p + 1)**2/11
Let a(v) be the second derivative of -v**6/165 - v**5/110 + 26*v**4/33 + 160*v**3/33 + 48*v - 7. What is r in a(r) = 0?
-5, -4, 0, 8
Let a = 84889 + -84887. Suppose -2/13*z**a + 0 - 12/13*z = 0. What is z?
-6, 0
Let p(q) = 8*q**3 + 70*q - 208*q - 30*q**3 - 26 - 132*q**2. Let s(a) = -24*a**3 - 133*a**2 - 139*a - 27. Let n(r) = 3*p(r) - 2*s(r). Factor n(o).
-2*(o + 1)*(o + 6)*(9*o + 2)
Suppose -3*l = 2*u - 0*u - 83, -5*u - 5*l + 200 = 0. Suppose -80 = u*s - 41*s. Let -s + 0*d + 22*d - 2*d - 2*d**2 - 3*d**2 = 0. Calculate d.
2
Let 24/5*v**5 - 114/5*v**2 + 36/5*v + 0 + 142/5*v**4 - 32/5*v**3 = 0. What is v?
-6, -1, 0, 1/3, 3/4
Let i(r) be the third derivative of -r**6/60 - 121*r**5/20 + 137*r**4/6 - 61*r**3/2 - 922*r**2 + 2. Factor i(w).
-(w - 1)*(w + 183)*(2*w - 1)
Solve 82/15*k - 2/15*k**2 - 252/5 = 0 for k.
14, 27
Let f(g) be the third derivative of -g**5/60 - 95*g**4/4 - 27075*g**3/2 + 11*g**2 - 4. Factor f(w).
-(w + 285)**2
Let 919*g**3 - 160000 - 168000*g + 2461*g**3 + 52*g**4 - 4400*g**2 + 0*g**5 - 268*g**4 + 4*g**5 = 0. What is g?
-5, -1, 20
Let k(b) be the second derivative of b**7/21 + 7*b**6/15 + 7*b**5/5 + b**4/3 - 5*b**3 - 9*b**2 + 1169*b. Suppose k(h) = 0. What is h?
-3, -1, 1
Let k(v) be the second derivative of -4/15*v**4 - 4/75*v**6 - 1/210*v**7 + 0*v**2 + 2 - 1/6*v**3 - 9/50*v**5 - 55*v. Determine o, given that k(o) = 0.
-5, -1, 0
Let w be (24 - 714/28)/((-54)/(-24)*-2). What is t in 10/3*t**3 + w*t**4 + 40/3*t + 11*t**2 + 16/3 = 0?
-4, -1
Let b be (-2528)/(-364) + 2 + 586/2051. Solve 2400/13*w + 16000/13 + 2/13*w**3 + b*w**2 = 0.
-20
Let i(q) = -37*q - 962. Let l be i(-26). Let x(j) be the first derivative of l*j**3 + 0*j**2 + 35 + 0*j - 1/10*j**4. What is b in x(b) = 0?
0
Let v(z) be the third derivative of 5*z**2 + 25/4*z**5 + 0 + 15/2*z**4 + 0*z + 18/5*z**3. Factor v(o).
3*(25*o + 6)**2/5
Suppose 0 = -261*i + 256*i + 10. Factor -33*y - 37*y**2 + 9057*y**3 + y**i - 9060*y**3.
-3*y*(y + 1)*(y + 11)
Let r(y) be the second derivative of y**5/30 + 38*y**4/9 + 149*y**3/9 + 74*y**2/3 + 1737*y. Determine v so that r(v) = 0.
-74, -1
Factor -1946*l + 3886*l + 6 + 3*l**2 - l**4 + 3*l**3 - 1951*l.
-(l - 3)*(l - 1)**2*(l + 2)
Suppose -4*v - 306 - 458 = -5*j, j - 4*v = 156. Let -37*x - 80*x**2 - 28*x + 70 + j*x**2 - 77*x**2 = 0. Calculate x.
-14, 1
Let u(z) be the first derivative of -55 - 24/5*z**5 + 0*z**3 + 0*z**2 - 2/3*z**6 + 0*z - 5*z**4. Factor u(v).
-4*v**3*(v + 1)*(v + 5)
Suppose -3*d = -3*u, -u = -0*u - 2. Let j(y) = y**2 - y - 2. Let x(l) = -16*l**2 + 32*l + 36. Let g(t) = d*x(t) + 36*j(t). Suppose g(w) = 0. What is w?
-7, 0
Let k = 113 + -258. Let u = -142 - k. Suppose 9/4*r - 3/4 + 3/4*r**2 - 9/4*r**u = 0. What is r?
-1, 1/3, 1
Let k(c) be the third derivative of -60*c**2 + 1/48*c**5 + 0*c + 375/8*c**3 + 0 + 25/16*c**4. Determine p, given that k(p) = 0.
-15
Let d(v) = -14*v - 16. Let q be d(-38). Let l = q + -