)**2*(i + 1)
Let m(y) be the third derivative of 0*y**3 + 0*y**5 + 3*y**2 + 0*y**4 + 0*y + 0 + 1/1680*y**8 + 1/600*y**6 - 1/525*y**7. Factor m(x).
x**3*(x - 1)**2/5
Factor -10*t**3 - 111*t**2 - 972 - 1/3*t**4 - 540*t.
-(t + 6)**2*(t + 9)**2/3
Let u = 34793 + -243549/7. Factor -2/7*w**2 - u*w + 4/7.
-2*(w - 1)*(w + 2)/7
Let q(d) be the second derivative of -55*d**7/42 + 3*d**6/2 + d**5/2 - 2*d + 26. Solve q(a) = 0.
-2/11, 0, 1
Let t(w) be the third derivative of -w**5/140 - 3*w**4/56 + 2*w**3 + 115*w**2. Determine b so that t(b) = 0.
-7, 4
Let z be (-22)/55*(-5)/(-80)*-255. Suppose 9/8*s**5 + 3/2 - 3*s - 9/8*s**2 + z*s**3 - 39/8*s**4 = 0. Calculate s.
-2/3, 1, 2
Let -4960/3*w - 4/3*w**5 + 5284/3*w**2 + 172/3*w**4 + 1600/3 - 2092/3*w**3 = 0. Calculate w.
1, 20
Let b(c) be the second derivative of c**5/70 - 5*c**4/42 + 8*c**3/21 - 4*c**2/7 - 80*c. Find a such that b(a) = 0.
1, 2
Let y(j) = -6*j**3 + 2*j**2 - 8. Suppose -5*x = 25, -2*x - 25 = 2*k + x. Let o(n) = -4*n**3 + n**2 - 5. Let a(u) = k*y(u) + 8*o(u). Factor a(p).
-2*p**2*(p + 1)
What is d in -2/7*d - 4/7*d**2 - 6/7*d**5 + 4/7*d**4 + 8/7*d**3 + 0 = 0?
-1, -1/3, 0, 1
Suppose 5*w = 10 - 0. Let l(f) = f**2 - f - 18. Let q be l(-4). Let -3*x - 7*x**q + 2*x**w + 2*x**2 = 0. Calculate x.
-1, 0
Let g(y) = -y**3 - y**2 + 5*y. Let p be g(-3). Factor 0*w**5 + 43*w**p + 12*w**5 - 4*w**3 - 18*w**2 + 0*w**5 - 36*w**4 + 3*w.
3*w*(w - 1)**2*(2*w - 1)**2
Let a(j) = j**3 - 8*j**2 + j - 2. Let b be a(8). Suppose -3*q**4 - 11*q**2 + b*q**4 + 2*q**2 + 6*q = 0. Calculate q.
-2, 0, 1
Determine b so that 36490*b**4 - 8*b**3 - 36465*b**4 + 5*b**5 + 28*b**3 = 0.
-4, -1, 0
Suppose 0 = -76*f + 208 + 96. Factor -27/2*k**3 - 15/2*k**f - 3*k + 0 - 3/2*k**5 - 21/2*k**2.
-3*k*(k + 1)**3*(k + 2)/2
Let x(s) be the third derivative of -s**7/420 - s**6/72 - s**5/30 - s**4/24 + s**3 + 8*s**2. Let z(t) be the first derivative of x(t). Solve z(l) = 0 for l.
-1, -1/2
Let d be -1*(-12)/4 - 0. Suppose m = b, 2 = 7*b - 3*b - d*m. Find p, given that 2*p**2 - 5 - 3*p**3 + b*p + p**2 + 2 + p = 0.
-1, 1
Let h(s) be the third derivative of s**10/120960 - s**8/16128 + 11*s**5/30 + 18*s**2. Let f(k) be the third derivative of h(k). Factor f(x).
5*x**2*(x - 1)*(x + 1)/4
Determine u so that 4*u**2 - 2/5*u**3 - 2/5*u**4 - 48/5 + 8/5*u = 0.
-3, -2, 2
Let x(r) = -r**3 + 9*r**2 + 10*r + 2. Let m be x(10). Let l be m - 2 - (-2 + -3). Factor -60 + 60 + 2*q + l*q**2.
q*(5*q + 2)
Let 1/2*w**2 + 31/2 + 16*w = 0. Calculate w.
-31, -1
Let j(d) be the second derivative of d**7/168 - 7*d**5/80 + d**4/24 + d**3/2 - d**2 - 3*d. Let j(z) = 0. Calculate z.
-2, 1, 2
Let p(d) be the third derivative of -1/60*d**6 - 1/15*d**5 + 2/3*d**3 + 0*d + 7*d**2 + 0 + 1/12*d**4. Factor p(m).
-2*(m - 1)*(m + 1)*(m + 2)
Let q be (-13)/(455/(-690)) - 1. Let x = q + -99/7. Factor 4/7*a**5 + 80/7*a**2 + 0 + x*a + 72/7*a**3 + 4*a**4.
4*a*(a + 1)*(a + 2)**3/7
Factor -12/5*z**2 + 0 + 4/5*z.
-4*z*(3*z - 1)/5
Let j(h) be the first derivative of -2*h**5/25 - 4*h**4/5 - 22*h**3/15 + 8*h**2/5 + 24*h/5 + 193. Solve j(y) = 0 for y.
-6, -2, -1, 1
Suppose 109*k = 22*k + 174. Solve 4/3*i**k + 8*i - 8/3*i**3 - 2/3*i**4 - 6 = 0 for i.
-3, 1
Let z(c) be the first derivative of -c**6/6 - 22*c**5/5 - 10*c**4 + 848*c**3/3 - 1064*c**2 + 1568*c - 251. Factor z(q).
-(q - 2)**3*(q + 14)**2
Let i(v) be the third derivative of v**8/6720 + v**7/1120 + v**6/720 - 2*v**3/3 + 2*v**2. Let f(b) be the first derivative of i(b). Factor f(n).
n**2*(n + 1)*(n + 2)/4
Factor -4/13*i**3 + 2/13*i + 0 + 2/13*i**5 + 0*i**2 + 0*i**4.
2*i*(i - 1)**2*(i + 1)**2/13
Let b be (-1056)/(-5852) + (-8)/(-76). Suppose 0*z - b*z**2 + 0 = 0. What is z?
0
Let t = 1 + 2. Suppose -5*w - 5*y + 15 = 0, -y + t*y = -3*w + 8. Factor w*m**4 + 7*m**2 + 9*m**2 + 12*m**3 - 28*m**3 + 2*m**4.
4*m**2*(m - 2)**2
Let b(d) be the first derivative of 0*d + 5/4*d**4 + 48 - 15*d**2 + 25/3*d**3. Factor b(c).
5*c*(c - 1)*(c + 6)
Let u(m) be the first derivative of -2*m**5/5 + 11*m**4/2 - 18*m**3 + 25*m**2 - 16*m + 472. Let u(d) = 0. Calculate d.
1, 8
Let 196/3 + 1/3*u**2 + 28/3*u = 0. What is u?
-14
Factor -2601/5*o**3 - 4998/5*o**2 + 404/5*o - 8/5.
-(o + 2)*(51*o - 2)**2/5
Suppose -29*c + 37*c - 32 = 0. Let p(w) be the third derivative of 1/6*w**3 - 1/60*w**5 + 0*w**4 + 0*w + c*w**2 + 0. Factor p(u).
-(u - 1)*(u + 1)
Let v(f) = 6*f**2 + 26 + 13*f - 3*f - 2*f**2 - 30. Let s be v(-3). Find x such that -2/17*x**3 + 0 + 0*x**s + 0*x - 2/17*x**4 = 0.
-1, 0
Let u(p) be the third derivative of -p**10/50400 - p**9/5040 - p**8/1680 + 3*p**5/20 + 16*p**2. Let h(b) be the third derivative of u(b). Factor h(r).
-3*r**2*(r + 2)**2
Let 2*y**2 - 5855*y - 4*y**2 + 50 - 6 + 5873*y = 0. Calculate y.
-2, 11
Suppose 55*w - 87*w = 0. Factor 0*s + 2/11*s**2 + w.
2*s**2/11
Let a be 951 + 0/4 + -1 + 1. Factor -a*s**2 + s + 955*s**2 + 6*s + 5*s.
4*s*(s + 3)
Suppose 5/3*l**2 - 11/6 + 2*l**3 + 1/6*l**4 - 2*l = 0. What is l?
-11, -1, 1
Let b be 2 + 0 - (-480)/(-336). Determine a, given that -4/7*a**2 - 4/7*a**5 + 0 - 8/7*a + 12/7*a**3 + b*a**4 = 0.
-1, 0, 1, 2
Let r(v) be the third derivative of -v**7/12600 - v**6/1200 - v**5/300 + v**4/8 - 6*v**2. Let c(a) be the second derivative of r(a). Factor c(w).
-(w + 1)*(w + 2)/5
Suppose -4*b + 3*k = -5*b - 6, -3*k = 6. Suppose b = -44*a + 45*a. Factor -6/5*m**3 - 1/5*m**5 + 4/5*m**2 - 1/5*m + 4/5*m**4 + a.
-m*(m - 1)**4/5
Let w(s) = 8*s**2 - 37*s - 27. Let j(q) = 5*q**2 - 34*q - 27. Let g(i) = 3*j(i) - 2*w(i). What is c in g(c) = 0?
-27, -1
Determine d so that d**2 - 375 - d - d**3 + 6*d**2 + 369 - 3*d**2 = 0.
-1, 2, 3
Let w = 124 - 108. Let g be (-44)/w + (2 + 4 - 3). Factor g - y**3 - y + 1/4*y**4 + 3/2*y**2.
(y - 1)**4/4
Let b(s) be the second derivative of -s**7/7 + 22*s**6/15 + 8*s**5/5 - 4*s. Factor b(c).
-2*c**3*(c - 8)*(3*c + 2)
Let c(y) = y**3 - 34*y**2 + 18*y + 2019. Let v(t) = 4*t**3 - 102*t**2 + 44*t + 6058. Let l(m) = -10*c(m) + 3*v(m). Factor l(p).
2*(p - 7)*(p + 12)**2
Let d(b) be the first derivative of -b**7/3780 + b**6/405 + b**5/540 - b**4/27 + 4*b**3 - 13. Let f(l) be the third derivative of d(l). What is k in f(k) = 0?
-1, 1, 4
Let j(s) be the second derivative of s**6/108 - 7*s**5/45 - s**4/3 + 28*s**3/3 + 13*s. Let k(z) be the second derivative of j(z). Let k(r) = 0. What is r?
-2/5, 6
Let d(n) = 0 + n**2 + 7*n - 1 - 3 - 1. Let w be d(-8). Solve -3*k - 3*k**2 + k**2 + k**5 + w*k**4 + 3*k**3 - 1 - k**3 + 0*k**2 = 0 for k.
-1, 1
Let x be (-22)/(-40) - (75/10)/15. Let f(g) be the second derivative of -1/2*g**3 + x*g**5 + 4*g + 0*g**4 + 0 + g**2. Factor f(o).
(o - 1)**2*(o + 2)
Suppose -4*y + 25 = y, -2*k + 2*y = 0. Let -n**5 + 0*n**3 + n**3 + 0*n**k - 2*n**2 + 2*n**4 = 0. What is n?
-1, 0, 1, 2
Let m be 2/9 + (-40)/(-225). Let j = -222 - -1111/5. Determine n so that -1/5 - 2/5*n + j*n**4 + m*n**3 + 0*n**2 = 0.
-1, 1
Let o(p) be the first derivative of p**8/6720 - p**7/3360 - p**6/1440 + p**5/480 - 13*p**3/3 + 5. Let z(c) be the third derivative of o(c). Factor z(i).
i*(i - 1)**2*(i + 1)/4
Suppose 55*j - 14*j - 82 = 0. Let n = 21/10 + -17/10. Factor 2/5*w**j + 2/5*w - 2/5*w**3 - n.
-2*(w - 1)**2*(w + 1)/5
Suppose -3*p = -18 + 9. Suppose -4*y + 2 = -2*i, 3*y + 3*i = 12 + p. Factor -1/2*r**3 - y*r + 2*r**2 + 0.
-r*(r - 2)**2/2
Let n(d) be the third derivative of d**7/420 - 7*d**6/80 + 3*d**5/5 + 9*d**4 - 204*d**2. Factor n(l).
l*(l - 12)**2*(l + 3)/2
Let l(x) be the second derivative of -1/18*x**3 + 11*x + 1/12*x**2 + 0 + 1/72*x**4. Let l(m) = 0. Calculate m.
1
Let k(a) = 2*a**3 - 117*a**2 - 68*a + 535. Let g be k(59). Factor 1/6*i**3 - 1/6*i**5 + 0 + 1/6*i**g + 0*i - 1/6*i**2.
-i**2*(i - 1)**2*(i + 1)/6
What is l in 73*l - 49*l - 2*l**2 + 42*l = 0?
0, 33
Suppose 0 = 18986*n - 18974*n. Factor 5/2*a**2 + n*a + 0.
5*a**2/2
Let i = -317 - -321. Let q(r) be the third derivative of r**2 - 1/180*r**5 + 0*r**i + 0*r**3 + 0 + 0*r - 1/360*r**6. Factor q(m).
-m**2*(m + 1)/3
Let f(r) = -84*r**3 - 284*r**2 - 72*r - 16. Let q(i) = -56*i**3 - 189*i**2 - 48*i - 10. Let d(s) = 5*f(s) - 8*q(s). Factor d(k).
4*k*(k + 3)*(7*k + 2)
Let b(j) = -j**2 + 8*j + 24. Let w be b(10). Let p(f) be the first derivative of 0*f**2 + 1/6*f**w + 0*f - 8/9*f**3 + 7. Factor p(u).
2*u**2*(u - 4)/3
Factor -397 - 1769 + 5*c**2 + 11*c**2 - 21*c**2 + 390