ne f, given that y(f) = 0.
-1, 0
Let p be (23/12 + -2)*-40. Let t(s) be the first derivative of 10 + p*s**3 - 1/2*s**4 + 8*s - 8*s**2. Determine h so that t(h) = 0.
1, 2
Suppose -g = 3*g - 12. Let f be 42/30*(-435)/(-174). Determine h so that -f*h**g + 9/2*h**2 - 5/2*h + h**4 + 1/2 = 0.
1/2, 1
Let w(g) be the second derivative of g**4/36 + 11*g**3/3 + 363*g**2/2 + 19*g. Let w(o) = 0. What is o?
-33
Let j be 3/((-3)/15*-5). Factor -7*x**3 + 11*x**3 + 9*x**4 - 10*x**j.
3*x**3*(3*x - 2)
Suppose -d = -2*f - 5*d + 12, -3*d = 4*f - 9. Suppose 8*z - 8 - 16 = f. Find j, given that -6/7*j**4 + 11/7*j**z + 1/7*j**5 - 2/7*j**2 + 8/7 - 12/7*j = 0.
-1, 1, 2
Let h(m) = 63*m**3 - 136*m**2 - 444*m + 136. Let d(k) = 21*k**3 - 45*k**2 - 147*k + 45. Let r(a) = -8*d(a) + 3*h(a). Solve r(b) = 0.
-2, 2/7, 4
Let h(s) = -s**2 - 6*s - 6. Let o be h(-3). Let f be 1*(36/10 - o). Factor 3/5*x**4 - f*x**3 - 3/5*x**2 + 0 + 0*x + 3/5*x**5.
3*x**2*(x - 1)*(x + 1)**2/5
Suppose 4*k - 11 = 1. Let m be (-1)/(k/(-1*21)). Solve -3*s**3 + 2*s**2 + 11*s**3 - m*s**3 = 0 for s.
-2, 0
Let h(u) be the third derivative of 5/132*u**4 + 0*u - 2*u**2 + 0 - 2/11*u**3 - 1/330*u**5. Suppose h(d) = 0. Calculate d.
2, 3
Let d(j) be the third derivative of 0 + 8/15*j**5 + 1/105*j**7 + 0*j**4 - 10*j**2 + 0*j + 0*j**3 - 2/15*j**6. Let d(v) = 0. What is v?
0, 4
Let p(d) be the second derivative of -2*d**6/105 - 6*d**5/35 - 3*d**4/7 - 8*d**3/21 + 3*d - 36. Factor p(g).
-4*g*(g + 1)**2*(g + 4)/7
Let o = -119 - -123. Suppose 0 + h**2 + 120*h**4 - 121*h**o + 0 = 0. Calculate h.
-1, 0, 1
Let f be 4/42 - (-2960)/1554. Suppose 2/9 + 4/9*h + 2/9*h**f = 0. Calculate h.
-1
Find c, given that -3 + 3/4*c**4 - 19/4*c**2 - 4*c**3 + 11*c = 0.
-2, 1/3, 1, 6
Let q(f) = 3*f + 8. Let u be q(-9). Let z = -15 - u. Solve 0 + 2*s**3 + 2*s**z + 0*s + 2/3*s**5 + 2/3*s**2 = 0 for s.
-1, 0
Suppose 170*g - 209*g = -156. Factor 92/13*x**3 - 88/13*x**2 + 10/13*x**5 - 48/13*x**g - 8/13 + 42/13*x.
2*(x - 1)**4*(5*x - 4)/13
Solve 529*r**2 + 49*r + 43*r - 437 + 441 = 0 for r.
-2/23
Suppose -2*c = 5*u + 10, 2*c + 5*u - 2*u + 2 = 0. Suppose 7*b = -3*m + 3*b - 20, -c*m - 2*b = 10. Factor -1/3*w + 1/3*w**4 + 1/3*w**3 - 1/3*w**2 + m.
w*(w - 1)*(w + 1)**2/3
Let h(p) be the second derivative of -14*p**6/75 + 2*p**5/25 - 10*p - 6. Factor h(t).
-4*t**3*(7*t - 2)/5
Let y(f) be the first derivative of -1 + 0*f - 2/5*f**2 - 7/15*f**3 + 1/25*f**5 - 1/10*f**4. Factor y(t).
t*(t - 4)*(t + 1)**2/5
Let f(w) = -w**2 - 18*w - 10. Let b be f(-15). Suppose -5*x - 2*y = 2*y - 30, 5*y = -5*x + b. Solve 8*z - 2*z**2 - 3*z**x + z**2 - 4 + 0*z**2 = 0 for z.
1
Suppose y + 0 - 5 = 0. Let f be 3/3*18/30. Factor 0 + 0*j + 1/5*j**2 - 3/5*j**3 + f*j**4 - 1/5*j**y.
-j**2*(j - 1)**3/5
Let g(m) = -8*m**2 + 3*m - 4. Let p(o) be the second derivative of 0 - 1/12*o**4 + 0*o**2 - 3*o + 1/6*o**3. Let z(w) = 2*g(w) - 14*p(w). Factor z(u).
-2*(u + 2)**2
Let i = 2164/14573 - -6/1121. Factor -2/13 - i*z**2 + 4/13*z.
-2*(z - 1)**2/13
Let m be (4/(-2))/(2 + 1)*468/(-1248). Suppose -m - 1/4*y**2 + 1/2*y = 0. Calculate y.
1
Let s(o) be the third derivative of -o**6/36 - o**5/45 + o**4/12 - 11*o**2. Determine q so that s(q) = 0.
-1, 0, 3/5
Suppose m - 39 = 3*s, -44 = -3*m - 4*s + 8. Let j be (-3)/(-15)*((m - 2) + 2). Determine t so that 2/5*t**4 + 8/5*t**3 + 18/5 - j*t - 4/5*t**2 = 0.
-3, 1
Suppose 3*x + 56 - 497 = 0. Suppose -33 = 3*j - x. Factor 0*s**2 - 3*s**2 - j*s - s**3 + 36*s.
-s*(s + 1)*(s + 2)
Let s(b) be the third derivative of 4*b**7/1575 - 2*b**6/75 + 7*b**5/150 - b**4/36 - 310*b**2. Factor s(h).
2*h*(h - 5)*(2*h - 1)**2/15
Let h = -31 - -33. Factor 9*s**2 - 5*s**3 - 3 - 5*s + h*s**3 + 2*s**2 + 0*s**3.
-(s - 3)*(s - 1)*(3*s + 1)
Let r(g) = 5*g**3 + 2*g**2 + g + 1. Let c(x) = -30*x**3 + 1435*x**2 - 9160*x - 840. Let w(v) = c(v) - 5*r(v). Find q, given that w(q) = 0.
-1/11, 13
Find l such that 4/3*l**2 + 0*l + 0 - 2/9*l**3 = 0.
0, 6
Let u(o) = -o - 11. Let v be u(-14). Let 5*s - 53*s**2 - 15 - 8*s**3 + 68*s**2 + v*s**3 = 0. Calculate s.
-1, 1, 3
Let v(d) = -10*d**2 - 2*d + 1. Suppose h = -2*h + 36. Let n be (5 - h)*(-1)/1. Let j(u) = -9*u**2 - 3*u. Let l(i) = n*j(i) - 6*v(i). Factor l(w).
-3*(w + 1)*(w + 2)
Let l(r) be the first derivative of -r**3/15 + 3*r**2 - 45*r + 71. Let l(v) = 0. Calculate v.
15
Let t(w) = -2*w**2 + 11*w - 12. Let c be t(4). Let z(m) be the second derivative of 0*m**5 - 4*m + 0 + 0*m**3 - 2/15*m**6 + 1/3*m**4 + c*m**2. Factor z(b).
-4*b**2*(b - 1)*(b + 1)
Suppose 0 = -3*h, 2*v + 0*h = 3*h - 48. Let c = v - -51. Solve -c*m**4 - 60*m - 120*m**4 + 15*m**2 - 12 - 6*m**2 + 210*m**3 = 0 for m.
-2/7, 1
Let v(w) be the first derivative of -37 + 3/8*w**2 - 3*w + 1/8*w**3. Factor v(s).
3*(s - 2)*(s + 4)/8
Let w(o) = 14*o**3 - 8*o**2 + 22*o. Let s(f) = -3*f**3 - f**2 - f. Let l(x) = -4*s(x) - w(x). Factor l(m).
-2*m*(m - 3)**2
Let u(q) be the first derivative of -q**4/2 - 6*q**3 - 24*q**2 - 32*q - 6. Determine s so that u(s) = 0.
-4, -1
Let n(u) be the second derivative of u**6/25 - 33*u**5/50 + u**4 + 120*u. Determine c so that n(c) = 0.
0, 1, 10
Suppose 16*j - 25*j = -45. Let w(d) be the second derivative of -19/6*d**3 - 14/5*d**j + 8/15*d**6 + 19/4*d**4 + 0 + 6*d + d**2. Factor w(g).
(g - 2)*(g - 1)*(4*g - 1)**2
Let 21*g**3 + 212*g + 104 + 112*g**2 + 13*g**3 + 14*g**3 + 22*g**3 - 66*g**3 = 0. Calculate g.
-26, -1
Let u(v) be the second derivative of v**5/120 + 7*v**4/72 + 11*v**3/36 + 5*v**2/12 - 7*v - 2. Factor u(o).
(o + 1)**2*(o + 5)/6
Let d = -78058163/121289 - -4/17327. Let z = -641 - d. Find l such that 12/7*l + z + 2/7*l**2 = 0.
-3
Let h(f) = 46*f**3 - 85*f**2 + 28*f - 6. Let j(s) = -22*s**3 + 43*s**2 - 13*s + 3. Let z(y) = -6*h(y) - 10*j(y). Suppose z(o) = 0. What is o?
3/7, 1/2
Solve -40/17*n**3 - 2/17*n - 42/17*n**2 + 0 = 0.
-1, -1/20, 0
Let j = -40360 + 40360. Factor 0*g**2 + j - 48/5*g**4 + 4*g**5 + 16/5*g**3 + 0*g.
4*g**3*(g - 2)*(5*g - 2)/5
Let n(t) be the first derivative of -t**4/9 - t**3/9 + t**2/3 - 19*t + 16. Let g(m) be the first derivative of n(m). Let g(q) = 0. Calculate q.
-1, 1/2
Let f(l) be the second derivative of 0*l**3 + 13*l - 1/2*l**4 + 0 + 13/20*l**5 + 1/6*l**6 + 0*l**2. Factor f(b).
b**2*(b + 3)*(5*b - 2)
Let r = 191/36 + -14/9. Let f = r - 29/12. Let p**3 + f + 8/3*p - 11/3*p**2 = 0. Calculate p.
-1/3, 2
Let d = 2513/12024 + -1/1503. Let w(r) be the third derivative of 0 + d*r**4 + 5/6*r**3 + 13*r**2 - 1/12*r**5 - 1/24*r**6 + 0*r. Solve w(f) = 0.
-1, 1
Let o = -33 - -19. Let q(d) = -d**2 - 13*d + 16. Let h be q(o). Let -22/3*t + 8/3*t**4 - 12*t**h - 16/3*t**3 + 2*t**5 - 4/3 = 0. What is t?
-1, -1/3, 2
Let 16/9*m - 16/9*m**3 - 1/9*m**2 + 1/9 = 0. Calculate m.
-1, -1/16, 1
Let s be (1 - 13)/((-10)/15). Let d be (6/s)/(2/54). Factor -d*l**2 - 4*l + 4*l**3 - 7*l**3 - 2*l + 0*l.
-3*l*(l + 1)*(l + 2)
Let x(v) be the second derivative of -v**4/24 + 5*v**3/12 + 67*v. Factor x(c).
-c*(c - 5)/2
Suppose 2*b - 2 = 0, 0 = -t - 3*b + 7 - 2. Find d, given that 4*d**3 + 41*d - 32*d - d**3 + 3*d**4 - 14*d**2 - d**t = 0.
-3, 0, 1
Let p(k) be the third derivative of -k**7/210 - k**6/20 + 8*k**5/5 - 28*k**4/3 - 26*k**2 + 9. Factor p(j).
-j*(j - 4)**2*(j + 14)
Let p(o) be the third derivative of o**9/13608 + o**8/7560 - o**7/1890 + 10*o**3/3 - 16*o**2. Let u(s) be the first derivative of p(s). Factor u(j).
2*j**3*(j - 1)*(j + 2)/9
Let c(m) be the first derivative of 0*m**2 + 5*m + 4/3*m**3 - 1/15*m**6 - 4/3*m**4 + 1/2*m**5 + 2. Let l(n) be the first derivative of c(n). Solve l(x) = 0.
0, 1, 2
Let o(i) = i**4 + 2*i**3 + 21*i**2 - 30*i - 1. Let u(l) = l**4 + l**3 + 14*l**2 - 21*l. Let s(z) = 5*o(z) - 7*u(z). Determine j so that s(j) = 0.
-1, 1, 5/2
Let w be (-6 + 10)*2/4. Let j be (-104)/(-39)*6/36. Factor j*h**w + 2/3 - 14/9*h.
2*(h - 3)*(2*h - 1)/9
Determine b, given that 0 - 2/9*b**4 - 32/3*b**2 + 10/3*b**3 - 128/9*b = 0.
-1, 0, 8
Suppose 4/3*k**4 + 4*k**3 + 0*k + 0 + 8/3*k**2 = 0. Calculate k.
-2, -1, 0
Let d(h) be the second derivative of -h**6/1140 + h**5/570 + 7*h**2 + 31*h. Let r(w) be the first derivative of d(w). Suppose r(s) = 0. Calculate s.
0, 1
Let i = -535 + 535. Let f(r) be the third derivative of 1/420*r**7 - r**2 - 1/120*r**6 + 0 + 0*r**3 + 0*r**4 + i*r + 0*r**5. Factor f(j).
j**3*(j - 2)/2
Let o = 35 + -35. Factor -7*d**2