)*(p + 6)
Let y = -9530/7 + 1362. Let x be 3/9 - (-1)/(-3). Let y*r**5 + x*r + 0 + 0*r**3 - 6/7*r**4 + 2/7*r**2 = 0. Calculate r.
-1/2, 0, 1
Let u(j) = -j**3 - 24*j**2 + 51*j - 23. Let q be u(-26). Find i, given that 53*i**3 + 49*i**q - i**2 - 101*i**3 + 4 - 2*i**2 = 0.
-1, 2
Let d be 16/3*(-9)/(-2). Suppose 12 = -i + 4*w - 4, -i + d = 4*w. Determine b, given that -12 + 4*b + b**i - 3*b**3 + 12 = 0.
-1, 0, 2
Determine q so that -5/3*q**5 - 50/3*q + 5*q**4 + 55/3*q**3 + 0 - 5*q**2 = 0.
-2, -1, 0, 1, 5
Suppose -783*z + 128*z**2 - 73*z + 85*z + 65*z - 318*z - 4*z**3 = 0. What is z?
0, 16
Let y(t) = t**2 - 119*t + 3430. Let m be y(70). Solve -2*i + m + 8/7*i**2 = 0 for i.
0, 7/4
Let i(y) be the second derivative of y**5/20 - 5*y**4/12 - y**3 - 27*y. Factor i(u).
u*(u - 6)*(u + 1)
Let y = 38 - 32. Let g be 3/(-6) + 27/y. Suppose -23*k**4 + 20*k**2 + 32*k - 72*k**3 + 38*k**4 - 16 + 21*k**g = 0. What is k?
-2/3, 2/3, 1
Let s(a) be the third derivative of a**8/192 + 5*a**7/336 - 43*a**6/960 - 49*a**5/240 - 13*a**4/48 - a**3/6 - 62*a**2. Suppose s(c) = 0. Calculate c.
-2, -1, -1/2, -2/7, 2
Let s(k) be the first derivative of -7*k**5/540 - 23*k**4/216 - k**3/9 - 4*k**2 + 34. Let f(u) be the second derivative of s(u). Factor f(c).
-(c + 3)*(7*c + 2)/9
Suppose -3*j + 160 = 2*j. Let m(b) = 12*b**2 - 240*b. Let t(r) = 2*r**2 - 37*r. Let p(v) = j*t(v) - 5*m(v). Find o such that p(o) = 0.
-4, 0
Let z(b) = -5*b**5 + 25*b**4 - 18*b**3 - 2*b**2 + 4*b. Let i(q) = 85*q**5 - 425*q**4 + 305*q**3 + 35*q**2 - 70*q. Let a(o) = 2*i(o) + 35*z(o). Factor a(g).
-5*g**3*(g - 4)*(g - 1)
Find b, given that -162/7*b**4 - 24/7*b**2 - 39/7*b**5 + 0 + 0*b - 180/7*b**3 = 0.
-2, -2/13, 0
Let i be (-24)/32 + 93/(-4). Let d = i - -49/2. Determine m so that -d*m**3 - 3/2*m**2 - 1/2 - 3/2*m = 0.
-1
Suppose j = 2*j + 5*j. Let x = 1406/5 - 281. Determine d, given that 0*d + j - 2/5*d**2 - x*d**3 = 0.
-2, 0
Let o(l) be the second derivative of l**7/350 + l**6/50 + 3*l**5/100 - 7*l**2/2 - 14*l. Let m(n) be the first derivative of o(n). Factor m(y).
3*y**2*(y + 1)*(y + 3)/5
Let p be (206/515)/(3*(-3)/(-45)). Determine w so that 8/5 - 12/5*w + 4/5*w**p = 0.
1, 2
Let s(v) be the second derivative of 9/4*v**5 - 125/12*v**4 - 19*v - 5*v**3 + 0*v**2 + 0. Solve s(k) = 0 for k.
-2/9, 0, 3
Let s(c) = -6*c**2 - 43*c - 37. Let o(u) = -u**2 + 1. Let p(g) = 20*o(g) - 4*s(g). Find j, given that p(j) = 0.
-42, -1
Let d be (2/1)/((-3)/(-15)). Let u be (d/6)/1 - 1. Let 4/3*a**2 - 2/3*a - u*a**3 + 0 = 0. What is a?
0, 1
Suppose -30 = -3*f + 18. Let y(g) = -9*g + 56. Let q be y(4). Factor 16*l**3 - q*l - 4*l**5 - 8*l**2 - 5*l**4 + 8*l**5 - 8 + f*l**4 + 5*l**4.
4*(l - 1)*(l + 1)**3*(l + 2)
Let m(p) = -p**5 - p**3 + p - 1. Let o(j) = -8*j**5 - 8*j**4 + 12*j**3 + 32*j**2 + 4*j - 4. Let k(a) = 4*m(a) - o(a). Find y such that k(y) = 0.
-2, 0, 2
Let f = 986/21 + -310/7. Suppose -4/3*b**3 - f*b**2 - 5/3*b - 1/3 = 0. What is b?
-1, -1/2
Let a(x) be the third derivative of 0*x + 0 + 0*x**4 + 1/300*x**6 + 5*x**2 + 1/75*x**5 + 0*x**3. Factor a(r).
2*r**2*(r + 2)/5
Solve 8104*j**4 - 8112*j**4 - 22*j**3 - 12*j - j**5 - 24*j**2 + 3*j = 0 for j.
-3, -1, 0
Let r(s) be the first derivative of s**8/4200 - s**7/1050 + s**5/150 - s**4/60 + s**3 - 4. Let o(f) be the third derivative of r(f). Find q such that o(q) = 0.
-1, 1
Let 132*t**3 - 114*t**4 - 228*t**2 + 15*t**5 + 21 + 380*t**2 - 405 - 768*t + 346*t**2 + 54*t**2 = 0. What is t?
-2, -2/5, 2, 4
Let u(f) be the third derivative of 0*f - 1/510*f**5 + 1/1020*f**6 - 6*f**2 - 1/51*f**4 + 4/51*f**3 + 0. Factor u(j).
2*(j - 2)*(j - 1)*(j + 2)/17
Let q(z) be the third derivative of 2/105*z**7 + 2/5*z**5 - 2/15*z**6 + 2/3*z**3 + 0 - 2/3*z**4 + 8*z**2 + 0*z. Factor q(g).
4*(g - 1)**4
What is r in -38/9*r - 8/9*r**2 - 28/9 + 2/9*r**3 = 0?
-2, -1, 7
Solve 128 + 31*v**3 - 77*v**3 + 12*v**2 + 32*v - 60*v**2 + 4*v**4 + 38*v**3 = 0 for v.
-2, 2, 4
Let s(w) = -4*w**4 - 48*w**3 - 68*w**2 + 24*w - 12. Let h(d) = d**3 + d**2 - 2*d + 1. Let x(g) = -12*h(g) - s(g). Factor x(c).
4*c**2*(c + 2)*(c + 7)
Let k(q) = -7*q**3 + 1012*q**2 - 1021*q. Let v(y) = 5*y**3 - 675*y**2 + 680*y. Let h(r) = -5*k(r) - 8*v(r). Determine l so that h(l) = 0.
0, 1, 67
Let n(r) = r**3 - 2*r**2 + 2*r - 1. Let o be n(1). Factor -25*d**2 - 48 + 5*d + 73 + o*d**3 - 5*d**3.
-5*(d - 1)*(d + 1)*(d + 5)
Let z = -1722/5 - -345. Let i(f) be the second derivative of -z*f**5 + 0*f**4 + 0*f**3 - 6*f + 0 + 0*f**2 + 2/5*f**6 - 1/14*f**7. Suppose i(t) = 0. Calculate t.
0, 2
Let d(n) = -5*n**3 - 10*n**2 + 8*n. Let x(y) = -2*y. Let q(w) = -d(w) - 4*x(w). Factor q(o).
5*o**2*(o + 2)
Let w(l) be the first derivative of 3*l + 8/3*l**3 - 11/2*l**2 - 3 + l**4. Factor w(k).
(k + 3)*(2*k - 1)**2
Let h = 12 + -9. Let y be (h/2)/((-33)/(-88)). Suppose -2*c**4 + y*c**2 - 6*c**3 - 2 + 4*c + 2*c**5 + 2*c**3 - 2*c = 0. Calculate c.
-1, 1
Suppose -2*w + 1 = -2*c - 1, -3*w - 5*c + 27 = 0. Suppose 0 - 6*l**w - 2*l**2 - 61*l**3 - 2*l**5 + 0 + 55*l**3 = 0. What is l?
-1, 0
Let k be 4*(-52)/(-8) - 4. Let j = k + -20. Factor 4*h**5 + 0*h - 20*h**2 - j*h**5 + 10*h - 2 - 10*h**4 + 20*h**3.
2*(h - 1)**5
Let n(u) be the first derivative of -2*u**3/3 - 11*u**2 - 20*u + 389. Factor n(s).
-2*(s + 1)*(s + 10)
Let q(s) = s**3 - 261*s + 15*s**2 + 273*s - 7 - 21. Let l be q(-14). Suppose l + 2/5*v**2 + 0*v = 0. Calculate v.
0
Let u(n) be the first derivative of -5 - 4/15*n**3 - 10*n - 8/5*n**2 - 1/60*n**4. Let t(z) be the first derivative of u(z). Factor t(l).
-(l + 4)**2/5
Let g(x) be the second derivative of 3/80*x**5 + 3/8*x**3 - 27/8*x**2 - 12*x + 5/16*x**4 + 0. Determine n so that g(n) = 0.
-3, 1
Let r = 177 + -173. Let y(t) be the second derivative of -9/50*t**5 + 4/5*t**2 - 1/10*t**r + 7*t + 8/15*t**3 + 0. Suppose y(v) = 0. What is v?
-2/3, 1
Suppose 16 = 2*y - 2*t, -y + 3*y - 5*t = 10. Let -9*p**3 + 14*p**2 - 365*p + 353*p + y*p**2 = 0. What is p?
0, 2/3, 2
Let h(o) be the first derivative of 2*o**3/3 + 17*o**2/7 + 12*o/7 - 80. Factor h(v).
2*(v + 2)*(7*v + 3)/7
Let a = 6587 - 6584. Factor 0 - 2*z**a - 2*z**2 + 0*z - 1/2*z**4.
-z**2*(z + 2)**2/2
Let d be 3/12 + (-1274)/(-3640). Factor 6/5*v + 9/5 - d*v**2.
-3*(v - 3)*(v + 1)/5
Let s = -435 + 437. Let o(l) be the third derivative of 0 + 1/40*l**6 - 1/10*l**5 + 1/8*l**4 - 3*l**s + 0*l + 0*l**3. Factor o(t).
3*t*(t - 1)**2
Let y(c) be the first derivative of -c**6/1080 - c**5/180 + c**4/24 + 14*c**3 + 6. Let i(t) be the third derivative of y(t). Find s, given that i(s) = 0.
-3, 1
Let b(g) = 6*g - 13*g + 1 - 6*g + 10*g**2. Let s(h) = 3*h**2 - 1. Let o be s(-1). Let j(n) = -n**2 - n + 1. Let d(m) = o*b(m) + 6*j(m). Solve d(r) = 0.
2/7, 2
Let c(i) = i**3 - 1. Let s(n) = -5*n**3 + n**2 + 6*n + 4. Let j be 5/(-15) + (-10)/6 - 2. Let o(a) = j*c(a) - s(a). Find z, given that o(z) = 0.
-2, 0, 3
Let p be -1*(732/18)/(-2). Factor -14/3 + p*c - 40/3*c**2 - 7/3*c**3.
-(c - 1)*(c + 7)*(7*c - 2)/3
Determine m so that -32*m**2 + 69*m + 66 + 12*m**2 - 15*m**3 - 6 + 63*m - 31*m**2 = 0.
-5, -2/5, 2
Let a(r) be the second derivative of 3*r**5/140 + r**4/28 - 5*r**3/7 + 12*r**2/7 + 84*r. Factor a(b).
3*(b - 2)*(b - 1)*(b + 4)/7
What is t in 2/5*t**3 + 1/10*t**5 - 1/2*t - 2/5*t**4 + 1/5 + 1/5*t**2 = 0?
-1, 1, 2
Let j be ((-3)/(-3) - 3)/(-4)*-54. Let t be (30/j)/(-5) - 0. Factor -t*y**3 - 2/9*y + 4/9*y**2 + 0.
-2*y*(y - 1)**2/9
Let n(c) be the first derivative of -4*c**5/5 + c**4 + 16*c**3/3 - 8*c**2 - 23. Find i, given that n(i) = 0.
-2, 0, 1, 2
Let d = -2541 - -2541. Let u(m) be the second derivative of -1/4*m**4 - 9/2*m**2 + 2*m**3 + d - 12*m. Factor u(w).
-3*(w - 3)*(w - 1)
Let j(x) be the first derivative of -2*x**6/3 - 56*x**5/5 + 31*x**4 - 64*x**3/3 + 125. Determine w, given that j(w) = 0.
-16, 0, 1
Suppose 2*m = 6*m - 12. Let q(o) be the first derivative of -4 + 3 + o**3 - m. What is k in q(k) = 0?
0
Let m = 7508 + -22325/3. Let p = m + -66. Suppose 1/3*a**2 + 0 - 2/3*a + p*a**3 = 0. What is a?
-2, 0, 1
What is s in -15/4 - 3/4*s**2 + 1/2*s**3 - 8*s = 0?
-3, -1/2, 5
Let q(w) be the third derivative of 0*w**3 + 1/20*w**6 + 1/8*w**4 + 0 + 30*w**2 + 1/140*w**7 + 1/8*w**5 + 0*w. Factor q(u).
3*u*(u + 1)**2*(u + 2)/2
Suppose 16/3 - 1/3*r**2 + 2*r = 0. What is r?
-2, 8
Let x(t) be the first derivative of -3*t**5/4 - t**4/2 - 6*t