or s(d).
d*(d - 4)*(d - 1)**3/2
Let u(s) = -s**3 - 2*s**2 + 76*s - 36. Let x be u(-10). Factor 2/5*m**2 + 0*m - 2/5*m**x + 0 + 0*m**3.
-2*m**2*(m - 1)*(m + 1)/5
Factor 39/7*v**2 + 3/7*v**3 + 108/7 + 120/7*v.
3*(v + 2)**2*(v + 9)/7
Let j(g) be the first derivative of 4/3*g**3 + 8*g**2 + 0*g - 12. Factor j(a).
4*a*(a + 4)
Suppose -5*o - l - 3*l + 25 = 0, -2*o + 38 = -4*l. Suppose o = -6*j + 21. Determine x so that -x**j + 0 - 2/3*x = 0.
-2/3, 0
Let o(w) be the third derivative of 27*w**7/140 - 93*w**6/80 + 14*w**5/15 - w**4/4 - 182*w**2. Suppose o(u) = 0. Calculate u.
0, 2/9, 3
Let q(y) be the third derivative of y**5/20 + 15*y**4/8 + 22*y**3 + 2*y**2 - 26*y. Factor q(u).
3*(u + 4)*(u + 11)
Suppose 0*l + 6 = 2*l. Factor -197*z**l + 300*z**4 - 180*z**5 - 116*z**3 + 188*z**3.
-5*z**3*(6*z - 5)**2
Suppose 16*q - 10*q = 24. Suppose 3*m - 26 = 4*s, q*s + 20 = 2*m - 4. Determine k so that -14/3*k**4 + 4*k**m - 10/3*k + 2/3 + 2*k**5 + 4/3*k**3 = 0.
-1, 1/3, 1
Let v(h) = h - 21. Suppose 5*f + 47 = 152. Let g be v(f). Let g + 1/3*l**2 + 2/3*l**3 + 1/3*l**4 + 0*l = 0. Calculate l.
-1, 0
Let b be 7 - (10 - (1 + (1 - -3))). Factor 25/2*t**b - 45/2 - 5/2*t**3 - 15/2*t.
-5*(t - 3)**2*(t + 1)/2
Suppose 2*v + 4*f = -v - 8, -10 = 4*v + 5*f. Suppose -4*i = -3*n - 12, 0 = -v*i + i - 3. Factor 2/11*g + n + 0*g**2 - 2/11*g**3.
-2*g*(g - 1)*(g + 1)/11
Let d be 29/9 + (-6)/27. What is j in 9*j + 23 + 37 + d*j**2 - 3*j**3 + 39*j = 0?
-2, 5
Let z = -98 - -97. Let h = 4/3 + z. Factor h*f**2 + 2/3*f + 0.
f*(f + 2)/3
Let a be -1 - (-275)/(9 + -4). Factor -b**2 - 36 - 4*b + 26 - 12*b - a.
-(b + 8)**2
Solve -75*v**4 + 288*v**2 + 207*v**2 - 5*v**5 + 244 - 462 + 810*v - 862 - 145*v**3 = 0.
-12, -3, 1, 2
Let p = -181 + 184. Suppose 1/2*k**p - 1/2*k - 1/4*k**4 + 0*k**2 + 1/4 = 0. What is k?
-1, 1
Factor 3*w - 30/7*w**4 - 66/7*w**2 + 0 + 72/7*w**3 + 3/7*w**5.
3*w*(w - 7)*(w - 1)**3/7
Let a(u) be the first derivative of -u**3/2 + 261*u**2 - 45414*u + 336. Factor a(m).
-3*(m - 174)**2/2
Let o be (-4)/((672/30)/(-8) - -2). Let c(t) be the first derivative of -4/5*t**3 - 1/5*t**2 - 13/10*t**4 - 24/25*t**o + 3 + 0*t - 4/15*t**6. Factor c(w).
-2*w*(w + 1)**2*(2*w + 1)**2/5
Let g = 24 + -34. Let o be (-4)/g*(14 - -1). Factor -15*t - 15*t**2 + o*t**3 + 3*t**4 - 9*t + 3*t**2.
3*t*(t - 2)*(t + 2)**2
Let o(z) = -z**2 + 19*z + 2. Let c(p) = -p**3 - 9*p**2 - 8*p + 19. Let m be c(-8). Let v be o(m). Factor -1/2 - 1/2*b**v - b.
-(b + 1)**2/2
Let g(k) be the second derivative of -k**6/80 + 3*k**5/20 - 3*k**4/4 + 2*k**3 - 9*k**2/2 + 23*k. Let v(t) be the first derivative of g(t). Factor v(x).
-3*(x - 2)**3/2
Let b(g) be the third derivative of g**7/560 - 3*g**6/80 + 23*g**5/80 - 15*g**4/16 + 25*g**3/16 + 50*g**2. Suppose b(m) = 0. What is m?
1, 5
Let n(o) be the first derivative of -o**8/420 - o**7/210 + o**6/45 - 4*o**3 + 4. Let u(l) be the third derivative of n(l). Let u(x) = 0. What is x?
-2, 0, 1
Let p = 191 + -569/3. Factor -2/9*v**4 - 16/9*v + 2/3 + 0*v**3 + p*v**2.
-2*(v - 1)**3*(v + 3)/9
Let z(n) be the third derivative of n**8/14 + n**7/210 - 19*n**6/120 - n**5/10 + 44*n**2. Let z(f) = 0. What is f?
-2/3, -3/8, 0, 1
Let r = 274 + -1643/6. Let h(k) be the second derivative of -2*k + 1/40*k**5 - 1/18*k**4 + r*k**2 + 0 - 1/36*k**3. Find z such that h(z) = 0.
-2/3, 1
Suppose -7*j = -42 + 168. Let k = -18 - j. Determine o, given that -2/3*o + 4/3*o**3 + 0 - 2/3*o**5 + k*o**4 + 0*o**2 = 0.
-1, 0, 1
Factor -2*c**5 + 59*c**3 - 2*c**4 - 2*c - 5*c**2 + 0*c**4 - 55*c**3 + 9*c**2 - 2.
-2*(c - 1)**2*(c + 1)**3
Let s = 2735 + -10937/4. Solve -1/4 + 0*c + 1/2*c**3 + s*c**2 = 0.
-1, 1/2
Suppose -2 = 3*n + 6*f + 16, -2*n = -2*f - 12. Factor 1/6*z**n + 121/6 - 11/3*z.
(z - 11)**2/6
Suppose -5*i - 8 + 23 = 0. Suppose -2*h + i = -1. Determine u so that -3*u**3 + 2*u**3 - u**2 + u**5 + 0*u**h + u**4 + 0*u**3 = 0.
-1, 0, 1
Let k(d) = 5 + 16*d - 34*d + 17*d. Let y be k(4). Factor -9*o**2 + y + o + o**4 + 11*o**3 - 7*o**4 + 0 + 2*o**4.
-(o - 1)**3*(4*o + 1)
Let o(i) be the second derivative of i**5/50 + i**4/15 - 8*i**3/15 - 3*i + 142. Factor o(d).
2*d*(d - 2)*(d + 4)/5
Let f(a) be the first derivative of -a**6/30 - 2*a**5/15 + 6*a**2 + 19. Let s(w) be the second derivative of f(w). Find d such that s(d) = 0.
-2, 0
Let f(c) be the third derivative of c**6/150 - 2*c**4/15 - 57*c**2. Suppose f(i) = 0. Calculate i.
-2, 0, 2
Suppose 5*a - 17 = -3*z, 0 = -3*a - 4*z + 5 + 3. Factor 8*o**3 + 20*o**4 + 37*o**a + 2*o**5 - 47*o**4.
2*o**3*(o + 1)*(o + 4)
Let o(x) be the third derivative of x**8/35280 - x**6/315 + x**5/3 + 16*x**2. Let m(i) be the third derivative of o(i). Find w such that m(w) = 0.
-2, 2
Let m = -7 - -23. Suppose -4*h + m = -0. Solve -6*v - 1 + h + 2*v**3 - 7 = 0.
-1, 2
Let u = -8931/35 + 1278/5. Find i such that 0*i + u - 3/7*i**2 = 0.
-1, 1
Let r be (-6)/(-70)*(0 + 42). Let 192/5*w**2 - 32/5 + 104/5*w**3 + r*w**4 + 96/5*w = 0. Calculate w.
-2, 2/9
Suppose 2*s - 1 = -y - 6, 3*s + 12 = 3*y. Let m be y + 2 - (-4 + 5). Factor 3*n + 11*n**m + 2 - 23*n**2 - 2.
-3*n*(4*n - 1)
Let l(w) be the third derivative of -w**6/40 - 29*w**5/60 - 55*w**4/72 - w**3/2 + 4*w**2 - 10. Factor l(b).
-(b + 9)*(3*b + 1)**2/3
Let q = 34 + -255. Let g = q - -233. Factor 3*d**3 - g*d + 24/7 - 6/7*d**2.
3*(d - 2)*(d + 2)*(7*d - 2)/7
Solve 80 - 12*d**4 - 33*d**2 + 637*d - 88*d**3 - 47*d**2 - 60*d**2 - 621*d = 0.
-5, -2, -1, 2/3
Let f(m) be the second derivative of -m**5/10 + 7*m**4/6 - 14*m**3/3 + 8*m**2 - 458*m. What is j in f(j) = 0?
1, 2, 4
Suppose 0 = 26*d - 31*d. Let j be d/((1 + 3)/(-4)). Find t, given that 0*t**2 + 3/4*t**3 - 3/8*t**5 - 3/8*t + 0 + j*t**4 = 0.
-1, 0, 1
Let w = -93943/22 + 4269. Let y = w + 18/11. Determine c so that y*c + 0 + 1/2*c**2 - 1/2*c**4 - 1/2*c**3 = 0.
-1, 0, 1
Let x(i) = -6*i**2 + 3*i + 9. Let k(u) = -18*u**2 + 9*u + 27. Let o(s) = 2*k(s) - 7*x(s). Factor o(j).
3*(j + 1)*(2*j - 3)
Let r(m) be the second derivative of m**8/3360 + m**7/525 + m**6/450 - 7*m**4/6 - 25*m. Let l(f) be the third derivative of r(f). Factor l(j).
2*j*(j + 2)*(5*j + 2)/5
Solve 0*n + 0*n**2 + 42*n**3 + 0 + 3/2*n**4 = 0 for n.
-28, 0
Let r(o) be the first derivative of -2/3*o**3 + 6 + 3/4*o**4 - 1/6*o**6 + 0*o**5 + 0*o + 0*o**2. Factor r(z).
-z**2*(z - 1)**2*(z + 2)
Factor 0 + 2/5*k**4 + 0*k + 2/5*k**2 - 4/5*k**3.
2*k**2*(k - 1)**2/5
Suppose -18*i + 26*i - 32 = 0. Factor -w**5 + 8*w**2 - 2*w**4 + 14*w**3 + 14*w**3 - 25*w**3 + i*w.
-w*(w - 2)*(w + 1)**2*(w + 2)
Let n(t) be the first derivative of -t**6/120 - t**5/8 + 8*t**3 + 9. Let h(d) be the third derivative of n(d). Factor h(o).
-3*o*(o + 5)
Suppose -5*c = 5*z - 20, 3*z + 0*z = -5*c + 14. Factor 79*h**z - 67*h**3 + 3*h**2 + 11*h**4 - 2*h**4.
3*h**2*(h + 1)*(3*h + 1)
Suppose 102 = 26*r - 54. Let t(n) be the third derivative of 1/630*n**7 - 1/72*n**4 + 0*n + 0*n**3 - 8*n**2 + 0 + 1/360*n**r - 1/180*n**5. Factor t(u).
u*(u - 1)*(u + 1)**2/3
Let f(g) be the second derivative of g**6/15 - g**5/2 + 4*g**4/3 - 4*g**3/3 - 115*g - 1. Factor f(t).
2*t*(t - 2)**2*(t - 1)
Determine c, given that -24*c - 2*c**4 + 8*c**3 - 262 + 262 + 14*c**2 + 3*c + c = 0.
-2, 0, 1, 5
Factor -40/19*i + 42/19 - 2/19*i**2.
-2*(i - 1)*(i + 21)/19
Factor -2*u**2 - u**3 - 36*u + 5*u + 4*u**2 + 30*u.
-u*(u - 1)**2
Factor 26*q**3 + 23*q**3 - 76*q**3 + 2116 + 50*q**2 + 28*q**3 + 713*q.
(q + 4)*(q + 23)**2
Let l = -250 - -255. Let p(x) be the third derivative of -1/96*x**4 + 1/24*x**3 - 1/240*x**l + 0*x - 3*x**2 + 1/480*x**6 + 0. Let p(n) = 0. Calculate n.
-1, 1
Let p = 93 + -90. Determine m so that 5*m**5 - 17 + 21*m**2 + 14*m**2 - 3 - 15*m**4 - 5*m**p = 0.
-1, 1, 2
Suppose 4*t + 2*k - 6 = 0, 0 = -t + 982*k - 979*k + 5. What is f in 18/7 + 12/7*f + 2/7*f**t = 0?
-3
Let z(o) be the second derivative of o**4/12 - 6*o**3 + 34*o**2 - 327*o. Find i, given that z(i) = 0.
2, 34
Let 52/5*c + 22/5*c**2 + 6 = 0. Calculate c.
-15/11, -1
Let b be 9/4 + (-18)/(-24). Let z = 1/14 + 3/7. Find o such that 0*o + 0 + z*o**2 + 3*o**4 + 9/4*o**b + 5/4*o**5 = 0.
-1, -2/5, 0
Let x be -2*1/(-15) - (-106)/(-795). Let r(p) be the second derivative of 1/90*p**6 + 0 + 0*p**4 + x*p**3 + 0*p**2 + 3*p - 1/60*p**5. What is n in r(n) = 0?
0, 1
Let n(c) be the second derivative of -c - 4/5*c**5 + 0 + 4*c**2 - 22/3*c**3 + 13/3*c**4. Suppose 