vative of y**5/4 + 235*y**4/12 + 120*y - 1. Determine m, given that z(m) = 0.
-47, 0
Let h(k) be the first derivative of k**5 - 15*k**4/4 - 20*k**3/3 + 17. Let h(u) = 0. Calculate u.
-1, 0, 4
Solve 8/3 - 2/9*g**2 - 8/9*g = 0.
-6, 2
Let z = 4 - 1. Suppose 12 = z*k - 5*w + 2*w, 5*w = -5*k. Factor -o**4 - o + k*o**3 + o**2 - 3*o**3 + 0*o**2 + 2*o.
-o*(o - 1)*(o + 1)**2
Suppose -3*q + 2 + 10 = 0. Let k(o) be the first derivative of 9/25*o**5 + 0*o - 9/20*o**q + 0*o**2 - 1/10*o**6 + 5 + 1/5*o**3. Solve k(x) = 0 for x.
0, 1
Let w(m) be the first derivative of -m**4/12 + 5*m**3/9 + 93. What is i in w(i) = 0?
0, 5
Factor -2/7*d**3 + 0 + 90/7*d**2 - 88/7*d.
-2*d*(d - 44)*(d - 1)/7
Let q(n) = -2*n**3 - 474*n**2 - 37449*n - 986093. Let z(x) = -4*x**3 - 948*x**2 - 74897*x - 1972181. Let y(a) = -5*q(a) + 3*z(a). Factor y(l).
-2*(l + 79)**3
Suppose 0 = -2*s - 16*s + 36. Let c be (s/(-16))/((-20)/40). Factor 0*r - 3/2*r**3 + 0 + 9/4*r**4 + c*r**2 - r**5.
-r**2*(r - 1)**2*(4*r - 1)/4
Let h(o) be the third derivative of o**7/1155 - o**6/110 - o**5/110 + 4*o**4/33 + 4*o**3/11 + 2*o**2. Let h(y) = 0. What is y?
-1, 2, 6
Let u be 1/(-3)*69/(-46). Factor u*k**2 + 1/2*k - 1/2*k**3 + 0 - 1/2*k**4.
-k*(k - 1)*(k + 1)**2/2
Let s(i) be the first derivative of i**4/4 - 2*i**3 + 72. Factor s(k).
k**2*(k - 6)
Let t(z) be the third derivative of -z**9/30240 - z**8/13440 + z**4/8 - 10*z**2. Let b(r) be the second derivative of t(r). Factor b(j).
-j**3*(j + 1)/2
Suppose 0 = -6214*f + 6234*f - 40. Factor 4/13 - 2/13*h**f + 2/13*h.
-2*(h - 2)*(h + 1)/13
Let w(g) be the third derivative of g**5/12 + 40*g**4/3 + 2560*g**3/3 - 10*g**2 + 7*g. Factor w(d).
5*(d + 32)**2
Let u(c) = 2*c**3 + 54*c**2 - 110*c + 58. Let y(d) = 2*d**3 + 55*d**2 - 110*d + 59. Let n(w) = -6*u(w) + 4*y(w). Let n(r) = 0. Calculate r.
-28, 1
Let q(v) be the second derivative of v**9/5040 + v**8/2240 - v**7/420 - 7*v**4/12 - 11*v. Let d(r) be the third derivative of q(r). Find y such that d(y) = 0.
-2, 0, 1
Let y(l) = 4*l**2 - 368*l + 2000. Suppose -80 = 3*t - 8*t. Let h(g) = -g**2 + 74*g - 400. Let m(k) = t*h(k) + 3*y(k). Factor m(q).
-4*(q - 10)**2
Let p be (3 - -1)*(8 - 4). Factor -5*b**4 + p*b**3 - 149*b**2 - 6*b**3 + 144*b**2.
-5*b**2*(b - 1)**2
Find z such that -1/3*z**3 + 1/3*z + 2/3 - 2/3*z**2 = 0.
-2, -1, 1
Let t(g) be the first derivative of -g**6/18 + 2*g**5/15 + g**4/4 - 4*g**3/9 - 2*g**2/3 - 61. Factor t(y).
-y*(y - 2)**2*(y + 1)**2/3
Let a(x) be the second derivative of x**4/20 + 4*x**3/5 - 6*x**2 - 8*x - 2. Factor a(l).
3*(l - 2)*(l + 10)/5
Let w(y) be the third derivative of -y**6/180 + y**5/15 - y**4/4 - 11*y**3/6 - 11*y**2. Let f(o) be the first derivative of w(o). Determine s so that f(s) = 0.
1, 3
Suppose -r = 4*r. Let y be (2 - r) + 0 - -1. Factor -3*n - 7*n**2 + 3*n**4 + 6*n**3 + 4*n**2 - y*n.
3*n*(n - 1)*(n + 1)*(n + 2)
Let t(d) be the first derivative of -d**6/9 + 82*d**5/15 - 133*d**4/2 - 98*d**3 - 6. Factor t(i).
-2*i**2*(i - 21)**2*(i + 1)/3
Let z be 6*(9/(-6) - -2). Suppose 0 = -4*h + 3*m + 104, -z*h - 2*m + 83 = -3*m. Let -2*u**3 + 31*u - h*u + 0*u**3 = 0. What is u?
-1, 0, 1
Let y = 43 - 41. Factor -u - 227*u**3 - y*u + 230*u**3.
3*u*(u - 1)*(u + 1)
Let y be -3 + (1 + 6 - 1). Suppose w + y = 7. What is l in 0 - 4*l**3 - 13*l - 8*l**3 + l + 3 + 18*l**2 + 3*l**w = 0?
1
Suppose 114*m - 15 = 109*m. Let z(a) be the second derivative of 0 + 3/70*a**5 - 1/21*a**m + 3*a + 0*a**2 + 0*a**4 + 2/105*a**6. Factor z(x).
2*x*(x + 1)**2*(2*x - 1)/7
Let x(a) be the first derivative of 0*a**3 - 1/42*a**4 + 3*a + 4 + 1/7*a**2. Let k(r) be the first derivative of x(r). Find n such that k(n) = 0.
-1, 1
Let k be 3 - 18/16 - 1/(-8). Find u, given that u - k*u - 3*u - 5*u**2 + 9*u = 0.
0, 1
Let u be (-3)/21 + 192/21. Factor -7*w**4 - 5*w**3 - 2*w**2 - 2 + w**2 - 16*w**3 - 2*w**4 + u*w.
-(w + 1)*(w + 2)*(3*w - 1)**2
Let n(b) be the second derivative of 9*b + 1/4*b**5 - 5/12*b**4 + 0*b**2 - 5/6*b**3 + 0 + 1/6*b**6. Factor n(j).
5*j*(j - 1)*(j + 1)**2
Let w be ((-3)/6)/(6/(-1980)). Factor -3*k**4 + 15*k**2 + 169*k**3 - 346*k**3 + w*k**3.
-3*k**2*(k - 1)*(k + 5)
Let k(b) = b**3 - b - 1. Let a(i) = 5*i**4 - 66*i**3 - 26*i**2 + 3*i + 3. Let q(w) = -4*a(w) - 12*k(w). Factor q(d).
-4*d**2*(d - 13)*(5*d + 2)
Let q be (3 - (-4 + 1)) + -4. Let 15*h**2 - 3 + 13 - 24*h - 3*h**3 + q = 0. What is h?
1, 2
Let b(i) be the third derivative of 7*i**6/240 - 37*i**5/80 + 5*i**4/8 - 4*i**3 + 33*i**2. Let x(j) be the first derivative of b(j). Let x(r) = 0. Calculate r.
2/7, 5
Let g(z) be the second derivative of z**6/6 + 51*z**5/40 + 85*z**4/24 + 4*z**3 + z**2 + 3*z - 19. Let g(q) = 0. What is q?
-2, -1, -1/10
Let p(g) = -8*g**4 + 12*g**3 + 16*g**2 - 6*g + 2. Let b(j) = 2*j**2 - j**3 - 624*j**4 + 1 - j**2 + 623*j**4. Let n(h) = 2*b(h) - p(h). Factor n(s).
2*s*(s - 3)*(s + 1)*(3*s - 1)
Suppose -4*a = 4, -7 - 10 = -m - a. Let x be (-14)/(-24) + (3 - 60/m). Factor -1/4*v**3 + x*v**2 + 0 + 0*v.
-v**2*(v - 1)/4
Suppose -6 = 10*o - 76. Suppose -3*g = 5*w - 16 - 1, -g - 3*w + o = 0. What is v in -2/5*v**2 + 0*v**3 + 0*v + 0 + 2/5*v**g = 0?
-1, 0, 1
Suppose 98*v = 12*v + 258. Solve 0*h + 0 - 21/5*h**4 + 6/5*h**2 - v*h**3 = 0.
-1, 0, 2/7
Let r(q) be the first derivative of -5*q**3/9 + 4*q**2/3 + 4*q/3 + 41. Suppose r(p) = 0. What is p?
-2/5, 2
Let i(z) = 11 + 10*z + z**2 + 19 - 11. Let r be i(-8). Factor -2/13*v**r + 2/13*v**2 + 2/13*v + 0 - 2/13*v**4.
-2*v*(v - 1)*(v + 1)**2/13
Let t(n) be the first derivative of n**6/2 - 3*n**5/10 - 15*n**4/4 + 8*n**3 - 6*n**2 + 6*n - 8. Let u(l) be the first derivative of t(l). Factor u(o).
3*(o - 1)**2*(o + 2)*(5*o - 2)
Factor -2/3*m**2 - 32/3*m - 32.
-2*(m + 4)*(m + 12)/3
Let i(c) be the first derivative of -15 + 896/5*c**5 - 832/3*c**3 - 64*c + 67*c**4 - 232*c**2 + 98/3*c**6. Determine k so that i(k) = 0.
-4, -1, -2/7, 1
Let z be ((-4)/14)/(1/(-7)). Let p be 0/(-4 + 13)*(-7 - -6). Let 2/7*c + 2/7*c**z + p = 0. Calculate c.
-1, 0
Let l be (-182 - -176) + 11*(-12)/(-21). Let 2/7*z**2 - l*z**3 + 0 + 4/7*z = 0. Calculate z.
-1, 0, 2
Find a such that 1/2*a**4 + 0 + 0*a + 0*a**2 - 5/2*a**3 = 0.
0, 5
Let p = 8 - 14. Let c = -3 - p. Suppose -18*z**2 + 1 - c + 9*z**2 + 0 - 11*z = 0. What is z?
-1, -2/9
Let t(p) be the third derivative of -4*p**6/105 + 4*p**5/21 - 17*p**4/84 + 2*p**3/21 - 178*p**2. Suppose t(u) = 0. What is u?
1/4, 2
Let n be (-5)/(-10)*0/(8 + -2). Let k(t) be the third derivative of 11/18*t**4 - 10/9*t**3 - 2/45*t**5 + 0 + 14*t**2 + n*t. Factor k(p).
-4*(p - 5)*(2*p - 1)/3
Let r(d) be the first derivative of -44 - 1/3*d**4 + 0*d**3 + 8/3*d + 2*d**2. Factor r(n).
-4*(n - 2)*(n + 1)**2/3
Let y(x) be the second derivative of -1/54*x**4 + 0 + 5/27*x**3 - 4*x + 2/3*x**2. Suppose y(l) = 0. What is l?
-1, 6
Suppose -40*v + 102 = -34*v. Suppose 2*r + 17 - v = 0. Determine a, given that -1/2*a**2 + 0 - 1/6*a**3 + r*a = 0.
-3, 0
Suppose -2*b + 5 = -9*m + 8*m, -29 = m + 4*b. Let z be 3/((3042/(-12))/m). Factor -z + 0*c + 2/13*c**2.
2*(c - 1)*(c + 1)/13
Let w be (-7)/((-70)/3)*(-3 - -18). Suppose w + 15/2*r + 3/2*r**2 - 3/2*r**3 = 0. Calculate r.
-1, 3
Let w be ((-70)/15)/1 - -6. Let x be ((-40)/(-25))/((-3)/(-5)). Factor 6*u**2 + 0 + w*u + x*u**3.
2*u*(u + 2)*(4*u + 1)/3
Let f(t) = -27*t**5 - 58*t**4 - 8*t**3 - 11*t**2 - 22*t - 33. Let i(l) = l**5 + 2*l**4 - l**2 - 2*l - 3. Let o(k) = -2*f(k) + 22*i(k). Let o(u) = 0. What is u?
-2, -2/19, 0
Let d(y) be the first derivative of y**5/450 - y**4/60 - 4*y**3/45 - 10*y**2 + 2. Let o(s) be the second derivative of d(s). Factor o(q).
2*(q - 4)*(q + 1)/15
Let d(a) = -6*a**3 + 3*a**2 - 12*a - 9. Let s(n) = -3*n**3 + n**2 - n - 1. Let k(b) = d(b) - 3*s(b). Factor k(u).
3*(u - 2)*(u + 1)**2
Let -35 + 123 + 48*s - 62*s + 66*s + 4*s**2 = 0. What is s?
-11, -2
Let a = 17/128 - -257/1920. Factor 2/3*o + 2/15*o**3 + a + 8/15*o**2.
2*(o + 1)**2*(o + 2)/15
Let x(t) be the first derivative of -t**6/33 + 2*t**5/55 + 9*t**4/22 + 2*t**3/3 + 4*t**2/11 + 220. Factor x(f).
-2*f*(f - 4)*(f + 1)**3/11
Let m = 2842/3 + -947. Let k(q) be the first derivative of -1/9*q**3 - m*q - 3 + 1/3*q**2. Factor k(p).
-(p - 1)**2/3
Factor 72/7 + 48/7*o + 2/7*o**3 - 22/7*o**2.
2*(o - 6)**2*(o + 1)/7
Let h(b) = 326*b + 11739. Let c be h(-36). Factor 15/7*d**2 - 1/7*d**c + 7 - 9*d.
-(d - 7