 0 for c.
2/3, 2, 3
Let b(w) be the first derivative of -w**4/3 + 2*w**2 - 44*w + 19. Let f(c) be the first derivative of b(c). Factor f(h).
-4*(h - 1)*(h + 1)
Let a = -42 - -101. Let r = a - 56. Suppose 0 + 2/9*y**4 - 4/9*y**r + 2/9*y**2 + 0*y = 0. Calculate y.
0, 1
Solve -8/9*w**3 - w**2 + 0 + 0*w + 1/9*w**4 = 0.
-1, 0, 9
What is x in 28*x**4 + 13*x**5 + 10392*x - 10384*x + 3*x**5 - 24*x**3 - 28*x**2 = 0?
-2, -1, 0, 1/4, 1
What is c in 48/11 + 456/11*c**3 + 124/11*c**4 + 26*c + 564/11*c**2 - 6/11*c**5 = 0?
-1, -1/3, 24
Let s(p) = -4*p**2 + 50*p - 81. Let u(h) = -5*h**2 + 52*h - 80. Let k(n) = 4*s(n) - 3*u(n). Determine r, given that k(r) = 0.
2, 42
Let i(w) be the second derivative of 0 + 4/15*w**2 + 1/150*w**5 - 7/45*w**3 + 1/45*w**4 + 18*w. What is g in i(g) = 0?
-4, 1
Determine u so that -4 - 8*u**2 + 29 + 51 + 281*u - 99*u - 30 = 0.
-1/4, 23
Let j(y) = -3*y**2 + 24*y + 20. Let p(n) = 20*n**2 - 145*n - 120. Let z(u) = -25*j(u) - 4*p(u). Factor z(f).
-5*(f + 2)**2
Let y = -152281/7 - -21755. Suppose y*n**2 - 1/7*n + 0 - 3/7*n**3 = 0. What is n?
0, 1/3, 1
Let c(r) be the third derivative of 0*r**4 + 0*r**3 - 13*r**2 + 1/336*r**8 + 0 + 1/210*r**7 - 1/120*r**6 - 1/60*r**5 + 0*r. Suppose c(f) = 0. Calculate f.
-1, 0, 1
Let r(h) = -5*h**2 + h + 3. Let d be r(0). Determine b so that -158*b**d + 7854 - 6860*b + 4151 + 1470*b**2 + 18*b**3 + 5*b**4 = 0.
7
Let m(l) = -l - 2. Let i be m(-2). Let f be (14/8 - (-343)/(-196))/(6 - 5). Suppose i*s**2 + 0*s + 1/3*s**4 + 0*s**3 + f + 1/3*s**5 = 0. What is s?
-1, 0
Let b be (-17)/(-1) + (-39 - -29) + -1 + -3. Factor 5/4*f + 1/4*f**4 - 3/4*f**2 - 1/4*f**b - 1/2.
(f - 1)**3*(f + 2)/4
Factor d**2 - 2*d**2 - 3*d**2 + d**2 + 266 - 326 - 63*d.
-3*(d + 1)*(d + 20)
Let m = -30 + 53. Suppose -4*r = -3*v - m, 0 = -3*v - 3 - 12. Let -y - 4*y**3 + 68*y**2 - 66*y**r + 3*y**3 = 0. What is y?
0, 1
Let y(w) be the second derivative of -3*w**5/40 - 29*w**4/4 - 713*w**3/4 + 2883*w**2 - w + 305. Determine o so that y(o) = 0.
-31, 4
Factor -52/7*h**2 + 0 - 4/7*h**3 + 0*h.
-4*h**2*(h + 13)/7
Let z be (-4 + (-6)/(-2))*(-12)/36. Let j(g) be the second derivative of z*g**3 + 0*g**4 + 0 - 1/10*g**5 + 0*g**2 + 8*g. Determine a, given that j(a) = 0.
-1, 0, 1
Let f = 14 + 2. Factor 35*r + r**2 - f*r - 20*r - 2.
(r - 2)*(r + 1)
Let r be 20/8*(-72)/45*-1. Let b(o) be the first derivative of -1/18*o**r - 2/9*o - 8 + 2/27*o**3 + 1/9*o**2. Suppose b(f) = 0. What is f?
-1, 1
Suppose 4 = 4*w - 8, 3*w - 2631 = -3*s. Let 14*z + 884*z**3 + 2*z**4 + 1 - s*z**3 + 3 + 18*z**2 = 0. What is z?
-2, -1
Find s, given that -2/7*s**4 + 2/7*s**2 + 1/7*s + 0*s**3 - 1/7*s**5 + 0 = 0.
-1, 0, 1
Let f(s) be the third derivative of s**5/270 + 19*s**4/54 + 361*s**3/27 - 155*s**2. Solve f(h) = 0 for h.
-19
Let u(a) be the second derivative of a**7/21 + 19*a**6/15 + 99*a**5/10 + 63*a**4/2 + 36*a**3 + 217*a. Determine i, given that u(i) = 0.
-12, -3, -1, 0
Solve -7*y**4 + 20*y**3 - 12*y**2 - 5*y**4 - 28*y**2 - 6*y**5 + 22*y**4 + 16*y = 0.
-2, 0, 2/3, 1, 2
Let v(g) be the second derivative of -g**5/25 + g**4/3 + 2*g**3/15 - 2*g**2 - 5*g + 2. Factor v(d).
-4*(d - 5)*(d - 1)*(d + 1)/5
Let q(t) be the first derivative of 1/5*t**5 - 5/4*t + 1/12*t**3 + 9/8*t**2 - 9/16*t**4 + 8. Suppose q(v) = 0. What is v?
-1, 1, 5/4
Let g(j) be the first derivative of 1/900*j**6 + 3 + 1/30*j**4 - 1/100*j**5 + 0*j**2 + 4/3*j**3 + 0*j. Let f(z) be the third derivative of g(z). Factor f(p).
2*(p - 2)*(p - 1)/5
Let i(h) = -h**4 - 5*h**3 - 4*h**2 - 3*h. Let f(r) = 9 + 5*r + 9*r**3 - 3 - 6 + 8*r**2 + r**4. Let a(v) = -3*f(v) - 5*i(v). Determine n, given that a(n) = 0.
-1, 0, 2
Factor -2/11*f**2 - 2048/11 + 128/11*f.
-2*(f - 32)**2/11
Let w(m) be the first derivative of 376*m**3/21 + 39*m**2/7 - 4*m/7 - 40. Factor w(v).
2*(4*v + 1)*(47*v - 2)/7
Suppose 42/23 - 212/23*m**2 - 6/23*m**4 + 136/23*m**3 + 40/23*m = 0. Calculate m.
-1/3, 1, 21
Let r = -404 - -406. Let l(x) be the first derivative of -3/2*x**r + 6 + 0*x + 3*x**3. Factor l(u).
3*u*(3*u - 1)
Let l(g) be the first derivative of -3*g**5/10 - 219*g**4/4 - 5329*g**3/2 + 212. Factor l(j).
-3*j**2*(j + 73)**2/2
Let n(m) be the third derivative of -m**5/105 + m**4/3 - 16*m**3/7 + 343*m**2. Determine q, given that n(q) = 0.
2, 12
Let t(p) be the first derivative of 4*p + 10 - 2*p**2 + 1/3*p**3. Factor t(a).
(a - 2)**2
Let c(f) be the first derivative of -f**3/15 - 41*f**2 - 8405*f + 528. What is x in c(x) = 0?
-205
Suppose m + b = 1, -3 = -2*m - 3*b - 2. Factor 5 + 5*v**m - 7 + 2 - 5*v.
5*v*(v - 1)
Let w be 0*-2*1/(-6) + (72 - 70). Suppose 2*b + 1/4*b**3 - 5/4*b**w - 1 = 0. What is b?
1, 2
Let z = 6 + -1. Suppose 4 - 10 = -2*d, z*d = m - 9. What is x in -4*x**3 + m*x + x**3 - 21*x = 0?
-1, 0, 1
Let j(d) = -2*d + 2. Let n be j(3). Let f = 8 + n. Suppose 3*q**3 - 5*q**3 + f*q - 2*q**3 = 0. Calculate q.
-1, 0, 1
Let m = 227 - 224. Suppose -9 = -3*w, -m*i + 0*i = -2*w. Factor 3/4 + 7/8*b**i + 23/8*b.
(b + 3)*(7*b + 2)/8
Let h(w) be the first derivative of 3*w**4/8 + 8*w**3 - 105*w**2/4 + 27*w - 49. Suppose h(d) = 0. Calculate d.
-18, 1
Determine m so that 12*m**3 + 6*m**2 - m**5 + m**5 + 10*m**2 + 6*m - 2*m**5 = 0.
-1, 0, 3
Solve -1/11*y**4 - 2/11*y - 4/11*y**3 - 5/11*y**2 + 0 = 0.
-2, -1, 0
Let g(l) = 5*l**2 - 14*l + 4. Let c be g(3). Determine b, given that -60*b + 4*b**2 - 6*b**2 + 0*b**2 + c*b**2 = 0.
0, 12
Let j(z) be the first derivative of 1/27*z**3 - 25 - 1/9*z + 0*z**2. Factor j(f).
(f - 1)*(f + 1)/9
Let r = -40983/35 - -1171. Let t(q) be the first derivative of 1/14*q**4 + 2/21*q**3 - 1/7*q**2 + 1 + 0*q - r*q**5. Factor t(v).
-2*v*(v - 1)**2*(v + 1)/7
Let b(a) = -4*a**4 - 6*a**3 - 10*a**2 + 20*a. Let w(f) = 15*f**4 + 18*f**3 + 31*f**2 - 58*f. Let y(l) = 7*b(l) + 2*w(l). Let y(j) = 0. What is j?
-2, 0, 2, 3
Let n(s) = -s**2 - 11*s - 2. Let h be n(-11). Let t be h/(-10) - (-4)/10. Find k, given that -t + 1/5*k**3 - k - 1/5*k**2 = 0.
-1, 3
Factor -9/5 + 12/5*p - 3/5*p**2.
-3*(p - 3)*(p - 1)/5
Solve 0 + 40/3*u + 2/3*u**2 = 0 for u.
-20, 0
Let h = 1495 - 1492. Let l(a) be the first derivative of -1/3*a**h - 5 + 0*a + 1/2*a**2. Factor l(i).
-i*(i - 1)
Let s = -101 - -106. Factor -a + 0*a + 0*a**2 + 6*a + 20*a**2 + s*a**3 - 30.
5*(a - 1)*(a + 2)*(a + 3)
Let r = -1927/2 - -965. Let a(f) be the first derivative of r*f**2 + 0*f - 5 - 2*f**3. Factor a(l).
-3*l*(2*l - 1)
Let t = -21 - -23. Factor -z**2 + 3*z + 2*z**t - 3 - 3*z**3 - z**2 + 3*z**2.
-3*(z - 1)**2*(z + 1)
Factor -37 + 6*h - 36*h - 32*h**2 + 37 - 2*h**3.
-2*h*(h + 1)*(h + 15)
Let p(y) be the second derivative of -y**4/12 - 5*y**3 - 28*y**2 - 119*y. Factor p(w).
-(w + 2)*(w + 28)
Let u = 10387/5 - 2072. Find z such that 13/5*z**2 + 0 - u*z**3 - 2/5*z + 23/5*z**4 - 7/5*z**5 = 0.
0, 2/7, 1
Let u(m) = 4*m - 7 + 9 - m**2 - 5. Let n be u(3). Suppose n*h + 3/2*h**4 + 0 + 3*h**3 + 3/2*h**2 = 0. Calculate h.
-1, 0
Let g(r) be the third derivative of -3*r**2 - 10 + 0*r**3 - 1/120*r**6 - 1/15*r**5 + 0*r - 1/6*r**4. Factor g(j).
-j*(j + 2)**2
Factor -2*w**4 - 393 + 2*w**2 + 393 - 6*w + 0*w**4 + 6*w**3.
-2*w*(w - 3)*(w - 1)*(w + 1)
Suppose -33/4*v**4 + 4*v - 9/4*v**5 - 4*v**3 - 4 + 10*v**2 = 0. Calculate v.
-2, -1, 2/3
Determine z so that 416 + 3*z + 2*z - 2*z**4 - 4093*z**2 - 110*z**3 + 3*z + 3781*z**2 = 0.
-52, -2, 1
Let x(s) be the third derivative of s**5/20 - s**4/2 - 6*s**3 + 8*s**2 - 2*s. Factor x(c).
3*(c - 6)*(c + 2)
Let l(t) be the third derivative of t**7/42 + t**6/24 - t**5/3 - 5*t**4/6 + 57*t**2 + 3*t. Solve l(b) = 0.
-2, -1, 0, 2
Let b(t) be the third derivative of t**8/84 + 2*t**7/35 - 7*t**6/30 - t**5 + 3*t**4 + t**2 - 15*t. Factor b(a).
4*a*(a - 2)*(a - 1)*(a + 3)**2
Let o(n) be the third derivative of 7/12*n**5 + 0 + 0*n + 0*n**3 + 2*n**2 + 5/12*n**4. Let o(g) = 0. Calculate g.
-2/7, 0
Let d(k) be the third derivative of -k**6/210 - 2*k**5/35 - 4*k**4/21 - 6*k**2 + 75. Solve d(s) = 0 for s.
-4, -2, 0
Find x such that 201 + 11*x - 30*x**2 - 180 + 9*x**4 - 10*x**3 - x**5 + 0*x**5 = 0.
-1, 1, 3, 7
Let t = 0 - 0. Let o(d) = -408*d - 2040. Let z be o(-5). Factor -6/5*k**2 + z*k**3 + 2/5*k**4 + 4/5*k + t.
2*k*(k - 1)**2*(k + 2)/5
Let s(p) be the second derivative of 0*p**2 - 13*p + 0*p**3 + 0*p**5 + 0 - 1/30*p**4 + 1/75*p**6. Suppose s(d) = 0. Calculate d.
-1, 0, 1
Let c(f) be the fi