et l(s) be the first derivative of s**2 + 4*s - 1/2*s**4 - 4/3*s**3 - f. Solve l(c) = 0.
-2, -1, 1
Let k(o) be the third derivative of 5/8*o**4 - 5/3*o**3 + 0 - 1/24*o**6 + 0*o**5 - 2*o**2 + 0*o. Factor k(j).
-5*(j - 1)**2*(j + 2)
Let m(b) be the second derivative of -b**4/4 + 5*b**3 + 2*b - 20. Factor m(v).
-3*v*(v - 10)
Determine k, given that k + 1/3*k**2 - 4/3 = 0.
-4, 1
Factor -2/3*v**2 - 1350 + 60*v.
-2*(v - 45)**2/3
Let f be 990/3717 - (16/7)/4. Let g = f - -362/413. Determine j so that 6/7*j**4 - g*j**3 + 0*j - 2/7*j**2 + 0 = 0.
-1/3, 0, 1
Let p(j) be the third derivative of j**7/630 - j**6/90 - j**5/15 + 410*j**2. Determine c, given that p(c) = 0.
-2, 0, 6
Let d be -1*14 + -3 + 6. Let m(v) = v**2 + 12*v + 14. Let s be m(d). Factor 33*b**3 - 5*b**4 - b**4 + 12*b - 36*b**2 - s*b**4.
-3*b*(b - 2)*(b - 1)*(3*b - 2)
Let b = -4177/28 + 1046/7. Suppose -2*x**4 - 25/4*x**3 - 19/2*x**2 - 2 - b*x**5 - 7*x = 0. What is x?
-2, -1
Solve -3/8*z**3 + 33/8*z**2 + 27/8 - 57/8*z = 0.
1, 9
Let t(j) be the third derivative of -17*j**6/20 + 27*j**5/4 - 33*j**4/2 - 2*j**3 + j**2 - 156*j. Find n, given that t(n) = 0.
-1/34, 2
Suppose 14*l + 2*l = -160. Let i be (48 - 45)*(-14)/l. Factor 9/5*g**3 - i*g + 21/5*g**2 - 9/5.
3*(g - 1)*(g + 3)*(3*g + 1)/5
Let v = -7699/6 - -1273. Let p = -17/2 - v. Let p*z + 2/3 - 1/3*z**5 - 4/3*z**3 + 2/3*z**2 - 4/3*z**4 = 0. Calculate z.
-2, -1, 1
Let w = -217 - -379. Suppose 3*t - w = t. Solve t*y**3 + 43*y**2 + 63*y - 10*y**4 - 2*y**4 - 202*y**2 + 27 = 0.
-1/4, 1, 3
Factor -49 - 45 + 6 + n**2 + 3*n**2 + 92*n - 8.
4*(n - 1)*(n + 24)
Factor -34/3*v + 8/3 - 53/3*v**2 - 11/3*v**3.
-(v + 1)*(v + 4)*(11*v - 2)/3
Solve 19/7*v**2 - v**4 - 4/7*v + 3/7*v**3 + 1/7*v**5 - 12/7 = 0 for v.
-1, 1, 2, 6
Find i such that 3*i**3 + 1522 - 3036 + 6*i + 12*i**2 + 1520 + 9*i = 0.
-2, -1
Suppose -5*g = 4*i - 478, -2*g - 4*i + 5*i = -199. Let l be (-50)/(-10) - g/20. Factor 1/10*y**3 + 0*y + 0*y**2 + 0 - 1/5*y**4 + l*y**5.
y**3*(y - 1)**2/10
Let c(w) be the first derivative of 1/2*w**6 - 9/5*w**5 + 0*w + 31 + 0*w**2 + 3/2*w**4 + 0*w**3. Solve c(x) = 0 for x.
0, 1, 2
Let q(z) be the third derivative of -z**6/1440 + z**5/18 - 25*z**4/18 + z**2 - 24. Find u such that q(u) = 0.
0, 20
Let t = 1766 - 1764. Find g such that -1/2 + 1/2*g**t + 2*g**3 - 2*g = 0.
-1, -1/4, 1
Let l(c) be the second derivative of -c**4/3 + 245*c**3/3 + 123*c**2 + 123*c. Factor l(f).
-2*(f - 123)*(2*f + 1)
Let l(j) = -j**4 - j**3 - j**2. Suppose -6 = 5*k + 4. Let x(r) = 14*r**5 + 16*r**4 - 40*r**3 - 84*r**2 - 48*r - 8. Let i(h) = k*l(h) + x(h). Factor i(m).
2*(m - 2)*(m + 1)**3*(7*m + 2)
Let l be (-54)/(-78)*3*(-1868)/(-12). Let f = l - 323. Factor 2/13*d - f + 2/13*d**2.
2*(d - 1)*(d + 2)/13
Let o(l) = 1 - 1 + 0 - 3 + 3*l**2. Let x be o(-1). Factor -2/11*p**3 + x*p - 4/11*p**2 + 0.
-2*p**2*(p + 2)/11
Let i(t) be the third derivative of t**6/40 + t**5/5 + t**4/8 - 3*t**3 - 74*t**2. Factor i(q).
3*(q - 1)*(q + 2)*(q + 3)
Let n(b) be the second derivative of -5/27*b**3 + 0 + 3*b + 1/6*b**2 + 1/270*b**6 - 1/30*b**5 + 1/9*b**4. Factor n(v).
(v - 3)*(v - 1)**3/9
Suppose 3*p + 4*o + 39 = 41, -2 = -2*p - 2*o. Factor 7/3 - 13/3*g + 5/3*g**p + 1/3*g**3.
(g - 1)**2*(g + 7)/3
Let s = -22 - -22. Determine o so that s + 0*o + 2/7*o**3 - 2/7*o**2 = 0.
0, 1
Solve 0 + 12/5*w + 2/5*w**3 - 14/5*w**2 = 0 for w.
0, 1, 6
Let z = 613067/944718 + 3/16574. Let c = z - -1/57. Factor 4/3*l**2 + 10/3*l**5 + 0 + 0*l + c*l**3 - 16/3*l**4.
2*l**2*(l - 1)**2*(5*l + 2)/3
Let n(r) be the second derivative of -1/3*r**4 + 0 + 20*r**2 + 6*r**3 - 28*r. Factor n(f).
-4*(f - 10)*(f + 1)
Suppose 23*f**2 + 7*f**3 + 877 - 873 + 5*f + 15*f = 0. Calculate f.
-2, -1, -2/7
Let o(y) = -3*y - 9. Let i be o(-7). Determine r so that 8*r**2 - 30*r + 4*r**5 + 20 + 10*r - 16*r**4 + 16*r**3 - i = 0.
-1, 1, 2
Let w(i) be the third derivative of i**7/1155 + 7*i**6/330 - 17*i**5/110 + 43*i**2 - 4. Let w(d) = 0. What is d?
-17, 0, 3
Let x(o) = -o**3 + 19*o**2 + 119*o + 31. Let a be x(24). Let u(l) be the first derivative of -a + 0*l + 1/15*l**3 + 1/5*l**2. Factor u(b).
b*(b + 2)/5
Let w be (60/(-585)*3)/((-4)/26). What is t in -w*t**4 - t**3 + 2*t**2 + 3/2*t**5 + 0 - 1/2*t = 0?
-1, 0, 1/3, 1
Let h(c) be the second derivative of -c**4/15 + 14*c**3/5 - 76*c**2/5 - 106*c. Factor h(m).
-4*(m - 19)*(m - 2)/5
Let p be -4 + 6 + -5 - (-6)/(-1). Let s(d) = d**3 + d**2 + d. Let f(c) = 12*c**3 - 3*c. Let v(w) = p*s(w) + f(w). Factor v(m).
3*m*(m - 4)*(m + 1)
Let v(o) be the first derivative of o**6/15 + o**5/10 - 5*o**4/6 + o**3 + 4*o - 26. Let s(a) be the first derivative of v(a). Let s(y) = 0. What is y?
-3, 0, 1
Let r(t) = -t**3 + t**2 - t - 1. Let g(d) = 48*d**2 - 12*d - 20. Let h(c) = g(c) - 20*r(c). Factor h(m).
4*m*(m + 1)*(5*m + 2)
Find k, given that -21*k**2 + 19*k - 30 + 106*k - 14*k = 0.
2/7, 5
Let d be 3 - -1 - (-1 - -3). Suppose s - 6 = -d. Factor -s*j**3 + 4*j**4 + 9 + 4*j - 10*j**2 - 2*j**2 - 1.
4*(j - 2)*(j - 1)*(j + 1)**2
Let m(l) = -23*l**3 - 1. Let y be m(-1). Suppose 6 - y = -2*j. Factor -3*q**2 + 5 + 8*q**2 - 2*q - j*q.
5*(q - 1)**2
Factor 24/7 - 1/7*q**2 - 2*q + 1/7*q**3.
(q - 3)*(q - 2)*(q + 4)/7
Let t be ((-6)/(-60) + (-4)/8)/(24/(-180)). Let -18/7*l**2 + 0 + 4/7*l - 10/7*l**t = 0. Calculate l.
-2, 0, 1/5
Suppose 39*t - 40*t = -5*s + 6, -5*t - 2*s + 24 = 0. Factor 0*f**3 - 8/3*f**2 + 4/3 + 4/3*f**t + 0*f.
4*(f - 1)**2*(f + 1)**2/3
Let n(c) be the second derivative of -2/5*c**5 - 12*c**3 + 27*c**2 + 1/45*c**6 + 10*c + 0 + 3*c**4. Suppose n(m) = 0. What is m?
3
Let k(u) be the second derivative of 3*u**2 + 3/20*u**5 + u**4 + 5/2*u**3 + 0 + 10*u. Determine w, given that k(w) = 0.
-2, -1
Factor -21*c - 24 - 47*c + 26*c**5 - 74*c**2 - 27*c**5 - 39*c**3 - 10*c**4.
-(c + 1)*(c + 2)**3*(c + 3)
Let n(o) be the first derivative of -o**6/3 - 2*o**5/5 + o**4 + 4*o**3/3 - o**2 - 2*o - 17. Factor n(u).
-2*(u - 1)**2*(u + 1)**3
Let u = 10116 - 10114. Solve 0 + 4/5*v - 6/5*v**u + 2/5*v**3 = 0 for v.
0, 1, 2
Let g(d) be the second derivative of -9*d**5/10 + 43*d**4/6 - 26*d**3/3 - 8*d**2 - 83*d. Solve g(h) = 0.
-2/9, 1, 4
Suppose -10*k + 6 + 4 = 0. Let p = 6 - k. Let -6*h**2 + p*h**3 - 1/2 - 3/2*h**4 + 3*h = 0. What is h?
1/3, 1
Let t = 80 + -84. Let d(m) = m**3 + 11*m**2 - 5*m - 19. Let j(q) = -10*q**3 - 100*q**2 + 45*q + 170. Let w(u) = t*j(u) - 35*d(u). Determine p so that w(p) = 0.
-3, -1, 1
Let o be 19 + -25 + 0 + 170/28. Let n(g) be the first derivative of -2/7*g + 1/7*g**2 - o*g**4 + 7 + 2/21*g**3. Factor n(l).
-2*(l - 1)**2*(l + 1)/7
Let z = 22885/17794 - 1/2542. Factor 3/7*q**3 + 0 + 6/7*q**2 - z*q.
3*q*(q - 1)*(q + 3)/7
Let y(u) be the second derivative of -u**9/5292 + u**8/980 - u**7/490 + u**6/630 + 11*u**3/6 + 6*u. Let m(w) be the second derivative of y(w). Factor m(s).
-4*s**2*(s - 1)**3/7
Suppose 6*o + 20 - 50 = 0. Let 8 - 18*m + 15*m + m**3 - 5*m**2 + o*m = 0. Calculate m.
-1, 2, 4
Let i(a) be the third derivative of -a**5/90 - 5*a**4/36 - 2*a**3/3 - 5*a**2 - 2*a. Solve i(t) = 0 for t.
-3, -2
Let p be -7 - (-5 + -4)/1. Let q(y) be the first derivative of 0*y + 2/3*y**3 - y**p - 6. Let q(b) = 0. Calculate b.
0, 1
Let o be 0 + (9/36 - (-1)/(-4)). Let i(t) be the first derivative of -1/32*t**4 + o*t**2 + 0*t - 1/8*t**3 + 9. Factor i(v).
-v**2*(v + 3)/8
Determine p so that 1/10*p**2 + 11/10 + 6/5*p = 0.
-11, -1
Suppose 13*t - 45 = -6. Let w(s) be the second derivative of -t*s - s**2 + 0 - 5/6*s**3 - 1/4*s**4. Factor w(f).
-(f + 1)*(3*f + 2)
Let v(b) be the first derivative of -b**4/30 - b**3/5 - 12*b + 6. Let x(u) be the first derivative of v(u). Factor x(j).
-2*j*(j + 3)/5
Let d be -4*1 - ((-72)/63)/(4/14). Find j such that 4/5*j**3 + 0*j + d - 6/5*j**2 + 2/5*j**4 = 0.
-3, 0, 1
Factor -51*t + 588 - 109*t + 796 + 1816 + 2*t**2.
2*(t - 40)**2
Let q be (9/(405/18))/((-1)/(-10)). Let y(s) be the second derivative of 1/60*s**5 + 0*s**2 + 0*s**q + 3*s - 1/18*s**3 + 0. Factor y(d).
d*(d - 1)*(d + 1)/3
Let w = 4171 - 16683/4. Factor 0 - w*k**2 - 5/4*k.
-k*(k + 5)/4
Find u such that -57/5*u + 2 + 56/5*u**2 - 9/5*u**3 = 0.
2/9, 1, 5
Find q such that -2/7*q**4 + 34/7*q + 0 + 30/7*q**3 + 66/7*q**2 = 0.
-1, 0, 17
Let r(i) be the third derivative of -1/130*i**5 + 0*i**3 + 0*i + 0 + 29*i**2 + 1/12*i**6 - 1/78*i**4. Determine q, given tha