3 - 78*j**2/5 - 168*j/5 + 21. Factor q(x).
3*(x - 14)*(x + 2)**2/5
Solve -52*n**3 + 26*n**3 + 36*n**2 - 2*n + 22*n**3 - 30*n = 0.
0, 1, 8
Let y(t) = -148*t + 151. Let z be y(1). Factor 21*i**3 + 9/2*i**2 - z*i + 0.
3*i*(2*i + 1)*(7*i - 2)/2
Let f(z) = -8*z**3 - 7*z**2 + 25*z + 19. Let a(r) = 7*r**3 + 5*r**2 - 26*r - 20. Let t(m) = 5*a(m) + 4*f(m). Factor t(j).
3*(j - 4)*(j + 1)*(j + 2)
Let k(d) = 5*d**2 - 45*d + 50. Let f(y) be the third derivative of y**4/24 + y**3/6 + 9*y**2. Let o(z) = -5*f(z) + k(z). Factor o(i).
5*(i - 9)*(i - 1)
Suppose 0 = 13*y - 9*y - 8. Factor -19*h**3 - 9*h**5 + 10*h**4 - 14*h**4 + 37*h**4 + 3*h**y.
-h**2*(h - 3)*(3*h - 1)**2
Let d be (-24)/1 - (-214 + 188). Let 7/6 - 1/6*k**d - k = 0. Calculate k.
-7, 1
Let s(a) be the second derivative of a**5/2 + 43*a**4/12 + 26*a**3/3 + 6*a**2 + 244*a. Let s(d) = 0. What is d?
-2, -3/10
Factor 1444 - 2*j**2 - 1412 + 0*j**2.
-2*(j - 4)*(j + 4)
Let c(h) be the third derivative of h**6/120 + 19*h**5/180 + h**4/12 + 6*h**2. Solve c(m) = 0 for m.
-6, -1/3, 0
Let a(z) be the first derivative of z**6/2 + 12*z**5/5 - 111*z**4/4 + 68*z**3 - 54*z**2 + 183. Factor a(f).
3*f*(f - 2)**2*(f - 1)*(f + 9)
Let w = 9 + -8. Let a be (w + 6)*(-45)/(-105). What is d in 0*d + 1/8*d**2 - 1/8*d**4 - 1/8*d**5 + 0 + 1/8*d**a = 0?
-1, 0, 1
Let q(w) = -22*w - 255. Let c be q(-12). Let v(x) be the second derivative of 2/3*x**2 + 0*x**3 + 0 - c*x - 1/12*x**4 - 1/60*x**5. Suppose v(d) = 0. What is d?
-2, 1
Let y be ((-21)/(-9))/(7/273). Determine i, given that 45 - 101 - 3*i**2 - 97*i + 55*i - y = 0.
-7
Suppose 0 - 3 = -3*t. Let p be (-12)/16*t - 26/(-24). Factor -p*k - 2/3 + 8/3*k**2 - 5/3*k**3.
-(k - 1)**2*(5*k + 2)/3
Let l be (-2)/(4/34)*1. Let u = -13 - l. Factor -7*s**2 + 2*s**2 + u*s + 3*s**2.
-2*s*(s - 2)
Let a(s) be the first derivative of -2*s**3/57 - 30*s**2/19 - 450*s/19 - 68. Solve a(r) = 0.
-15
Let g(l) be the first derivative of -3*l**4/4 + 13*l**3 - 48*l**2 + 60*l - 338. Let g(o) = 0. What is o?
1, 2, 10
Let a be -1 - (-5 - 35/(-10)). Let c(x) be the second derivative of -1/5*x**4 + 0 + 5*x - a*x**3 - 3/10*x**2. Let c(z) = 0. What is z?
-1, -1/4
Suppose -3*y - 5 + 14 = 0. Let z(f) be the second derivative of -4*f - 1/15*f**y + 0*f**2 + 0 - 1/100*f**5 - 1/20*f**4. Find b, given that z(b) = 0.
-2, -1, 0
Let b be 134/(-28) - 24/(-84) - -5. Factor b*y**3 + 2 + 3*y**2 + 9/2*y.
(y + 1)**2*(y + 4)/2
Let o(j) = 10*j**3 - 90*j**2 + 45*j + 35. Let f(h) = -5*h. Let s be f(-11). Let r(u) = u**3 - 10*u**2 + 5*u + 4. Let p(l) = s*r(l) - 6*o(l). Factor p(i).
-5*(i - 1)*(i + 1)*(i + 2)
Let r(h) = 22*h**3 - 10*h**2 - 30*h + 2. Let b(o) = 15*o**3 - 6*o**2 - 20*o + 1. Let q(p) = 8*b(p) - 5*r(p). Factor q(x).
2*(x - 1)*(x + 1)*(5*x + 1)
Suppose 0 = -5*k - 17 - 8. Let r(i) = 3*i**2 + i - 2. Let p(q) = 5*q**2 + 2*q - 3. Suppose 1 = -2*w + 17. Let b(t) = k*p(t) + w*r(t). Find s such that b(s) = 0.
-1
Let z = 8350 + -8346. Factor 0 - 4/5*t - 8/5*t**2 + 2/5*t**z + 1/5*t**3.
t*(t - 2)*(t + 2)*(2*t + 1)/5
Let a(i) = 5*i**2 + 8*i + 3. Let y(z) = -17*z**2 - 24*z - 7. Let g(r) = 7*a(r) + 2*y(r). Suppose g(c) = 0. Calculate c.
-7, -1
Factor -294/5 + 21/5*n**3 - 741/5*n + 1014/5*n**2.
3*(n - 1)*(n + 49)*(7*n + 2)/5
Let j(u) be the second derivative of 7*u**5/4 + 95*u**4/12 - 5*u**3 - 26*u + 2. Factor j(l).
5*l*(l + 3)*(7*l - 2)
Let c = 2/437 - -5230/3059. Suppose 2*w = -5*j + 4*w + 14, 3*w + 16 = 5*j. Find h such that 15/7*h**3 + c*h**4 + 3/7*h**5 + 0*h + 6/7*h**j + 0 = 0.
-2, -1, 0
Let o(t) be the third derivative of t**6/60 - 7*t**5/10 + 13*t**4/4 - 19*t**3/3 + 4*t**2 + 1. Solve o(m) = 0.
1, 19
Let n = -91 + 96. Let k be 27/(-180) + 2/n. Factor -1/4*t**2 + 1/2*t - k.
-(t - 1)**2/4
Let y = -2/201 - 197/402. Let a = -1/6 - y. Find g such that 0 + 1/3*g**4 + a*g - 1/3*g**2 - 1/3*g**3 = 0.
-1, 0, 1
Suppose 79*t - 76*t - 13 = b, b - 12 = -2*t. Factor -2/3*g**b - 8/3*g - 2.
-2*(g + 1)*(g + 3)/3
Suppose -88/13*j - 22/13*j**3 + 2/13*j**5 - 32/13 - 80/13*j**2 + 4/13*j**4 = 0. Calculate j.
-2, -1, 4
Let x(r) = -3*r**3 - r**2 - r. Let t(g) = -4*g**4 + 84*g**3 - 68*g**2 + 92*g - 24. Let l(h) = t(h) + 16*x(h). What is z in l(z) = 0?
1, 6
Let v(x) = 6*x**2 - 6*x - 14. Let g(m) = m**2 + m + 1. Suppose 2*k + 6*l + 24 = l, 0 = -4*k + 3*l + 4. Let n(t) = k*g(t) - v(t). Factor n(r).
-4*(r + 1)*(2*r - 3)
Let h be 4*(-4 + 57/12 - 0). Suppose -2*d + h*y + 4 = 0, -y = -5*y. Factor 0*n + 0 + 0*n**3 + 1/4*n**d - 1/4*n**4.
-n**2*(n - 1)*(n + 1)/4
Let q(o) be the first derivative of o**8/1008 - o**6/216 - 14*o**3 + 13. Let n(f) be the third derivative of q(f). Factor n(d).
5*d**2*(d - 1)*(d + 1)/3
Let v(b) be the second derivative of 2*b**7/21 - 5*b**6/6 + 27*b**5/10 - 13*b**4/3 + 11*b**3/3 - 3*b**2/2 - 199*b + 1. Factor v(q).
(q - 3)*(q - 1)**3*(4*q - 1)
Let w(d) = -d**4 + d. Let k(t) = 2*t**5 + t**4 - 4*t**3 + t. Let l(m) = -k(m) - w(m). Factor l(j).
-2*j*(j - 1)**2*(j + 1)**2
Let b(u) = u**3 - u**2 + 1. Let g(y) = y**4 - 5*y**3 - y**2 - 3*y - 4. Let j(t) = 4*b(t) + g(t). Factor j(w).
w*(w - 3)*(w + 1)**2
Let j = -41 - -64. Suppose -26*r + 6 = -j*r. Let 2/3 + 1/3*i**3 - 1/3*i**4 + i**r - 5/3*i = 0. Calculate i.
-2, 1
Let u(c) = 7*c**2 - c + 1. Let l be u(-1). What is b in -24*b + 9*b - b**2 + l*b - 5 = 0?
-5, -1
Let r(b) = -4*b**3 - 24*b**2 + 4*b + 12. Let p(w) = 22 - w**3 - 10 - 13 + w**2. Let j(v) = -12*p(v) - r(v). Let j(a) = 0. Calculate a.
-1, 0, 1/4
Let p(v) = -v**2 - 5*v + 6. Let i(g) = -5*g. Let s be i(1). Let x be p(s). Let a - 7*a + 3*a**3 + 3*a - x - a**2 + 7*a**2 = 0. Calculate a.
-2, -1, 1
Factor 270170*x - 20164 - 3*x**2 - 270454*x + 2*x**2.
-(x + 142)**2
Factor 5 - t**4 + 1008*t**3 - 1000*t**3 - 8*t + 11 - 15*t**2.
-(t - 4)**2*(t - 1)*(t + 1)
Suppose -2476*i + 2467*i = -18. Let a(o) be the first derivative of 0*o**i + 5 - 3/4*o + 1/4*o**3. Find t, given that a(t) = 0.
-1, 1
Let l(p) be the first derivative of -3*p**4/4 + 6*p**3 - 9*p**2/2 - 30*p - 18. Determine b so that l(b) = 0.
-1, 2, 5
Let s be 185/25 + -7 + 13/5. Suppose -3 - 60*b**s - 3*b - 8 + 27*b + 111*b**2 - 1 = 0. Calculate b.
-2/5, 1/4, 2
Factor -16 - 2/5*r + 2/5*r**3 + 16*r**2.
2*(r - 1)*(r + 1)*(r + 40)/5
Factor -5*q**5 - 3*q**5 + 102*q + 70*q**3 - 5*q**4 - 7*q - 25 - 130*q**2 + 3*q**5.
-5*(q - 1)**4*(q + 5)
Let c(x) = -104*x + 1. Let h be c(-1). Let u be (-1728)/(-45) + 6/10. Find z, given that -9*z**2 - u*z + 3*z**4 + h - 93 - 21*z**3 + 54*z**2 = 0.
1, 4
Let n(l) = 13*l**2 - 4*l - 1. Let z(v) = 3*v**2 + 1. Let h(y) = n(y) - 4*z(y). Factor h(t).
(t - 5)*(t + 1)
Let t(h) = 2*h**2 + 12*h + 13. Let y be t(-5). Solve c**5 - c**y + 3*c**3 - 3*c**3 = 0 for c.
-1, 0, 1
Let s = 7/180 - -4352/45. Determine z, given that 5*z + 1 - s*z**4 - 189/4*z**5 - 231/4*z**3 - 17/4*z**2 = 0.
-1, -2/3, -1/3, 2/7
Let n(s) be the second derivative of s**4/3 - 8*s**3/3 + 8*s**2 + 103*s. Find h such that n(h) = 0.
2
Let t be (5 - (-670)/(-130))/(2/(-26)). Let a(y) be the first derivative of 4/9*y**3 + 0*y + 1/3*y**t + 1/6*y**4 + 8. Factor a(m).
2*m*(m + 1)**2/3
Let o be ((-22)/42 - 0) + (-1458)/(-1701). Find m, given that -9 + 0*m + o*m**4 - 8/3*m**3 + 6*m**2 = 0.
-1, 3
Determine m, given that -40*m**3 + 104/9*m**4 - 10/9*m**5 + 448/9*m**2 + 0 - 128/9*m = 0.
0, 2/5, 2, 4
Let p(h) be the second derivative of h**10/151200 - h**8/8400 + h**4/12 + 21*h. Let n(f) be the third derivative of p(f). Determine g so that n(g) = 0.
-2, 0, 2
Let u = 384 + -268. Let p = -114 + u. What is y in 1/6*y**3 + 1/6 + 1/2*y + 1/2*y**p = 0?
-1
Let r(y) be the first derivative of -2*y**6/15 + y**5/10 - y**4/48 - 10*y - 8. Let q(c) be the first derivative of r(c). Determine p, given that q(p) = 0.
0, 1/4
Let h be 128/3*36/72. Solve -23/3*w - 2/3 + h*w**4 - 28*w**2 - 80/3*w**3 = 0.
-1/4, 2
Let v = -142 + 145. Factor 0 + 0*f - 1/3*f**v + 1/3*f**4 - 2/3*f**2.
f**2*(f - 2)*(f + 1)/3
Let r(i) = 2*i + 75. Let v be r(-36). Let c(p) be the first derivative of 0*p + 1/2*p**2 - 1/4*p**4 - 4 + 0*p**v. What is n in c(n) = 0?
-1, 0, 1
Let u = 3 - 2. Let d(b) = 18*b + 2. Let p be d(0). Factor -u + 1/2*x**3 - 3/2*x + 0*x**p.
(x - 2)*(x + 1)**2/2
Let f(s) be the third derivative of -1/30*s**3 + 1/80*s**4 - 5*s**2 + 0*s**5 + 0*s + 0 - 1/1200*s**6. Suppose f(p) = 0. What is p?
-2, 1
Factor 2*i**3 - 1913*i**2 + 905*i**2 + 190*i + 954*i