- 1 + 9 + 9*l = 0. Calculate l.
-1, 4
Let u(y) = 4*y**2 + 2. Let a be (-4)/(-26) - 48/(-26). Let k(v) = -v**5 + v**4 + v**3 + 9*v**2 + 5. Let b(i) = a*k(i) - 5*u(i). Solve b(f) = 0 for f.
-1, 0, 1
Let a(l) be the third derivative of -l**5/30 + 7*l**4/12 + 6*l**3 - 2*l**2 + 35*l. Solve a(z) = 0.
-2, 9
Let p(g) be the first derivative of -g**5/80 - g**4/24 - g**3/24 - 3*g + 12. Let h(t) be the first derivative of p(t). Suppose h(j) = 0. Calculate j.
-1, 0
Suppose 0 = -20*t + 106 - 46. Let j(q) be the third derivative of -1/60*q**5 - 1/420*q**7 + 6*q**2 - 1/60*q**6 + 0*q + 0 + 1/4*q**t + 1/12*q**4. Factor j(c).
-(c - 1)*(c + 1)**2*(c + 3)/2
Let v be -6*(-32)/(-120)*5/(-3). Factor -4/3 - 10/3*z - v*z**2 - 2/3*z**3.
-2*(z + 1)**2*(z + 2)/3
Let z be -1 - (-4 + 1 + -3). Let n(j) = -j**2 + 3*j + 12. Let k be n(5). Factor -t - 2*t**k - t + z*t**2 - t.
3*t*(t - 1)
Let j(a) be the first derivative of -a**4/4 + 2*a**3 - 6*a**2 - 10*a - 13. Let p(q) be the first derivative of j(q). Factor p(g).
-3*(g - 2)**2
Determine z, given that -25/3*z**2 + 22/3*z**3 - 41/3*z + 2 = 0.
-1, 3/22, 2
Let t(l) be the third derivative of -l**5/60 + 13*l**4/24 - 7*l**3/3 - 17*l**2. Let b(h) = 3*h**2 - 26*h + 28. Let u(m) = -2*b(m) - 5*t(m). Factor u(k).
-(k - 1)*(k + 14)
Find d, given that -100*d**2 - 93*d**2 + d**4 + 194*d**2 + 2*d**3 = 0.
-1, 0
Let b(g) = 804*g**2 - g**3 + g - 804*g**2 + g**4. Let q(p) = -8*p**4 + 12*p**3 - 4*p**2 - 4*p. Let m(d) = -4*b(d) - q(d). Factor m(x).
4*x**2*(x - 1)**2
Let a(i) be the third derivative of 0*i**3 + 0*i**5 + 0*i + 1/300*i**6 + 3/560*i**8 + 0*i**4 + 0 - i**2 - 11/1050*i**7. What is g in a(g) = 0?
0, 2/9, 1
Suppose -4*p - 2 = -3*m - 25, -m - 5 = 0. Let f be (-3*p/8)/((-33)/88). Factor 1/6*b**4 - 1/6*b**f + 1/6*b**3 + 0*b + 0 - 1/6*b**5.
-b**2*(b - 1)**2*(b + 1)/6
Suppose 2*z - 26 + 8 = 0. Suppose z*d**4 + 3*d**3 - 3*d**4 - 365*d**5 + 368*d**5 = 0. Calculate d.
-1, 0
Let v(j) be the third derivative of -j**5/72 + 11*j**4/48 + 7*j**3/18 - 9*j**2. Factor v(k).
-(k - 7)*(5*k + 2)/6
Let w(l) be the second derivative of 0*l**3 - 1/6*l**2 + 0 + 16*l + 1/36*l**4. What is c in w(c) = 0?
-1, 1
Solve 92/17*z - 2/17*z**2 - 1058/17 = 0 for z.
23
Let n = -799 - -801. Let h(w) be the first derivative of w**2 - 2*w - 1/6*w**3 + n. Suppose h(b) = 0. Calculate b.
2
Let k(j) be the third derivative of -j**6/15 - 19*j**5/30 + 5*j**4/12 + 41*j**2. Find u such that k(u) = 0.
-5, 0, 1/4
Let k = -28957 - -144786/5. Factor 0*c - 3/5*c**3 - 1/5*c**5 - 3/5*c**4 + 0 - k*c**2.
-c**2*(c + 1)**3/5
Let x(z) be the third derivative of z**6/120 - z**5/60 - 2*z**4/3 - 10*z**3/3 - 19*z**2 - 3. Find m such that x(m) = 0.
-2, 5
Let v be 120/(-48)*(-32)/10. Suppose -v = 10*a - 8. Determine w, given that 0*w + 0 + 1/2*w**4 + a*w**2 + 1/2*w**3 = 0.
-1, 0
Let r(g) be the first derivative of g**6/3 - 12*g**5/5 + 11*g**4/2 - 4*g**3/3 - 12*g**2 + 16*g - 581. Factor r(q).
2*(q - 2)**3*(q - 1)*(q + 1)
Let a be (-9)/(-15)*5*(-1)/(-1). Suppose 4 + 2 = -3*p - a*s, 10 = p - 2*s. Let -1/8 + 0*k + 1/8*k**p = 0. What is k?
-1, 1
Let s = 4868 - 43808/9. Determine a, given that 2/9 + 1/9*a**3 + 5/9*a + s*a**2 = 0.
-2, -1
Factor -45*k**2 - 26*k + 145*k**2 + 5*k**3 - 52*k**2 - 20*k**2 - 7*k**3.
-2*k*(k - 13)*(k - 1)
Let -82/7*b**3 + 124/7*b**2 + 4/7*b**4 + 80/7*b + 2/7*b**5 - 128/7 = 0. What is b?
-8, -1, 1, 2, 4
Suppose -4*b = 47 - 95. Find q such that -26*q - 35*q**4 + 26*q - 2*q**3 + b*q**3 = 0.
0, 2/7
Let o(g) be the third derivative of 1/5*g**5 - 8/3*g**3 + 30*g**2 + 0 + 0*g - 2/105*g**7 + 1/15*g**6 - 2/3*g**4. Factor o(a).
-4*(a - 2)**2*(a + 1)**2
Let a be (0 - (-10)/(-10))/(1/3). Let r be (2*a/(-6))/(4/16). Factor o**2 + 0 - o**3 - 1/3*o + 1/3*o**r.
o*(o - 1)**3/3
Let f(z) = 2*z**5 - 28*z**3 + 24*z**2 + 2*z. Let j(d) = d**5 + d**4 - 19*d**3 + 16*d**2 + d. Let c(o) = 5*f(o) - 8*j(o). Factor c(s).
2*s*(s - 1)**4
Let q(a) be the third derivative of -a**7/1470 - a**6/420 + a**5/140 - 2*a**2 - 379. Let q(d) = 0. What is d?
-3, 0, 1
Let v(b) be the second derivative of b**4/9 + 76*b**3/3 + 2166*b**2 + 96*b. Factor v(k).
4*(k + 57)**2/3
Let v(a) = -3*a + 80 - 182 + 86. Let g be v(-6). Suppose -2/5*i + 4/5*i**3 - 4/5*i**g + 2/5 - 2/5*i**5 + 2/5*i**4 = 0. What is i?
-1, 1
Let r(i) be the third derivative of i**8/504 - 11*i**7/315 + 11*i**6/60 - 37*i**5/90 + 7*i**4/18 - 53*i**2 - 3. Let r(h) = 0. What is h?
0, 1, 2, 7
Let v be 23 - (71 + -28) - -102. Suppose -25/2*y**3 - v*y - 16 - 110*y**2 = 0. Calculate y.
-8, -2/5
Let z(y) = 1 + 1 - 5. Let n(k) = -k**2 - k - 1. Let s(j) = -5*j**2 - 5*j - 3. Let a(c) = -4*n(c) + s(c). Let l(d) = 3*a(d) + z(d). Find m, given that l(m) = 0.
-1, 0
Let f(g) = g**4 - g - 3. Let q(a) = -5*a**4 + a**3 - 22*a**2 + 50*a - 6. Let v(o) = 6*f(o) + q(o). Factor v(n).
(n - 2)**2*(n - 1)*(n + 6)
Let c(s) be the first derivative of s**6/360 - s**5/30 + s**4/8 + 2*s**3/3 - 16. Let t(a) be the third derivative of c(a). Solve t(w) = 0 for w.
1, 3
Let z be 126/84*32/6. Solve -11/3*i + z*i**2 + 256*i**5 + 1/3 + 128/3*i**3 - 640/3*i**4 = 0 for i.
-1/4, 1/4, 1/3
Let j(s) = 0 + 30 - 3*s - 2*s + 14. Let p be j(8). Factor -1/2*u**p + u**3 - 1/2*u**2 + 0*u + 0.
-u**2*(u - 1)**2/2
Let h(q) = 1. Let c = -7 + 5. Let k be (2/6)/(c/6). Let w(s) = -2*s**2 - 4*s - 6. Let d(z) = k*w(z) - 12*h(z). Find x such that d(x) = 0.
-3, 1
Let z(h) be the first derivative of 6 - 1/60*h**5 + 0*h**3 + 1/2*h**2 + 0*h - 1/24*h**4. Let c(d) be the second derivative of z(d). Factor c(v).
-v*(v + 1)
Let m = 1021/5 + -203. Factor -14/5*x**2 + 0 - m*x.
-2*x*(7*x + 3)/5
Let s(a) = 2*a - 4. Let w be s(4). Let u(o) be the second derivative of 0*o**3 + 5*o + 0 - 3/2*o**2 + 1/4*o**w. Suppose u(m) = 0. What is m?
-1, 1
Let w(n) = -2*n**4 - 15*n**3 + 74*n**2 - 57*n. Let m(y) = y**4 + 15*y**3 - 72*y**2 + 56*y. Let p(z) = -3*m(z) - 4*w(z). Solve p(c) = 0 for c.
-6, 0, 1, 2
Let t(p) be the second derivative of -1/126*p**7 + 0 + 1/12*p**5 + 0*p**4 + 27*p - 2/45*p**6 + 0*p**3 + 0*p**2. Factor t(h).
-h**3*(h - 1)*(h + 5)/3
Let m(a) be the second derivative of -a**4/4 - 52*a**3 - 4056*a**2 + 117*a. Factor m(i).
-3*(i + 52)**2
Let v = -2156 - -2156. Let w(a) be the third derivative of 0 - 1/270*a**5 + 1/945*a**7 + 0*a - 13*a**2 + v*a**4 + 0*a**3 + 0*a**6. Factor w(f).
2*f**2*(f - 1)*(f + 1)/9
Let m = 379 - 370. Let v(i) be the first derivative of 2/3*i**6 + 0*i + 4/5*i**5 + 0*i**2 + 0*i**4 + m + 0*i**3. Suppose v(x) = 0. Calculate x.
-1, 0
Let v(q) = 4*q**2 - 10*q + 6. Let j be v(2). Suppose -301*d**2 + 64 + 76*d**4 - 96*d - 12*d**5 + 17*d**j + 32*d**3 - 68*d**3 = 0. Calculate d.
-1, 1/3, 4
Let f(b) = -2*b**2 - 27*b + 38. Let z(d) = -2*d**2 - 24*d + 38. Let m(c) = 4*f(c) - 3*z(c). Solve m(q) = 0 for q.
-19, 1
Let b(t) = 9*t**4 - 251*t**3 + 1363*t**2 - 797*t - 3. Let c(w) = -28*w**4 + 752*w**3 - 4088*w**2 + 2392*w + 8. Let s(q) = 8*b(q) + 3*c(q). Solve s(l) = 0 for l.
0, 2/3, 10
Let a(t) be the third derivative of -t**6/30 - 4*t**5/3 - 37*t**4/6 - 12*t**3 + 83*t**2. Factor a(o).
-4*(o + 1)**2*(o + 18)
Let o(q) be the first derivative of -25*q**3/3 - 95*q**2/2 + 120*q + 597. Factor o(h).
-5*(h - 1)*(5*h + 24)
Suppose 106*d = 2*d + 416. Factor -14/9*g + 4/9 - 10/9*g**3 + 2/9*g**d + 2*g**2.
2*(g - 2)*(g - 1)**3/9
Let h = 65 + -40. Determine q, given that 4*q**2 + h*q - 8*q**2 + 9*q**2 = 0.
-5, 0
Let s(u) = -2*u - 17. Let k be s(-11). Suppose 0 = 3*z + y - 11, 0*y = -5*z + y + k. Solve 1/3*f**z + 4/3 + 4/3*f = 0.
-2
Solve 213/2*a + 0 + 3/4*a**2 = 0 for a.
-142, 0
Let g(p) be the first derivative of -2/9*p**3 + 0*p**2 - 11 + 0*p. Solve g(c) = 0 for c.
0
Let d = -46 + 46. Let y(f) be the third derivative of 0*f**4 - 2*f**2 + 0*f + d*f**3 + 1/40*f**6 + 1/20*f**5 + 0. Suppose y(k) = 0. Calculate k.
-1, 0
Let k(h) be the first derivative of -h + 18 + 3/4*h**2 - 1/6*h**3. Factor k(w).
-(w - 2)*(w - 1)/2
Suppose -8/3*k - 1/3*k**3 + 5/3*k**2 + 4/3 = 0. What is k?
1, 2
Let d(o) be the first derivative of 24 - 1/30*o**4 - 2/9*o**3 - 1/5*o**2 + 6/5*o. Factor d(x).
-2*(x - 1)*(x + 3)**2/15
Suppose -3*s + 3 = -6. Factor s*m - 3*m**3 - 2*m**3 + 0*m**3 + 2*m**3.
-3*m*(m - 1)*(m + 1)
Let o(u) be the second derivative of 1/5*u**5 + 0*u**3 + 0*u**2 - 4/15*u**6 + 0*u**4 + 0 + 2/21*u**7 - 8*u. Let o(z) = 0. Calculate z.
0, 1
Let h(i) be the second d