 494)**2
Let k(o) be the third derivative of -o**8/616 + 27*o**7/385 - 177*o**6/220 + 49*o**5/22 + 225*o**4/22 + 420*o**2. Let k(u) = 0. Calculate u.
-1, 0, 5, 18
Let i = -393602 - -393604. Factor -3*m + 0 + 1/2*m**3 + 1/2*m**i.
m*(m - 2)*(m + 3)/2
Factor 4/3*h**2 - 16*h + 44/3.
4*(h - 11)*(h - 1)/3
Let r = -4938 - -4938. Let o be (-1)/(-2)*(3 - -1). Suppose -1/6 + r*w + 1/6*w**o = 0. Calculate w.
-1, 1
Let p be 10*(-3)/(-12) - (-11339)/(-4466). Let f = 25/77 + p. What is l in -4/7*l**2 + 0 - f*l - 2/7*l**3 = 0?
-1, 0
Let m(q) be the second derivative of q**5/12 + 5*q**4/3 + 65*q**3/6 + 70*q**2/3 - 379*q. Factor m(k).
5*(k + 1)*(k + 4)*(k + 7)/3
Suppose -4*k + 523 = -4*y + 3463, -4*y = -2*k - 1468. Let x be (-4)/6 - k/690. Solve -6/5 - x*o**2 - 8/5*o = 0 for o.
-3, -1
Let -236*b + 1/2*b**2 + 27848 = 0. Calculate b.
236
Let y(t) be the first derivative of 3*t**5/40 + 9*t**4/8 + 15*t**3/4 + 21*t**2/4 + 64*t + 25. Let i(r) be the first derivative of y(r). Factor i(m).
3*(m + 1)**2*(m + 7)/2
Let a(q) be the third derivative of -q**8/560 - 41*q**7/350 + 22*q**6/25 - 9*q**5/5 + 6*q**2 + 84*q - 1. Solve a(w) = 0 for w.
-45, 0, 2
Let s = -40 + 43. Let y be (-36)/81*(-18)/7. Let -2/7*k**s + 2/7*k**2 - 8/7 + y*k = 0. What is k?
-2, 1, 2
Suppose -3137*f - 291*f = 392*f - 7640. Find s such that 572/3*s**f - 432 + 2/3*s**4 - 70/3*s**3 + 264*s = 0.
-2, 1, 18
Let c(h) be the third derivative of h**5/20 - 135*h**4/2 - 541*h**3/2 - 76*h**2 - 18*h. Factor c(q).
3*(q - 541)*(q + 1)
Let m(w) be the second derivative of w**7/21 - 2*w**6/5 + 9*w**5/10 + 358*w. Factor m(u).
2*u**3*(u - 3)**2
Let l = -247 + 248. Let n be 2*l/(-12)*90/(-40). Solve n*j**2 + 3/2 - 15/8*j = 0.
1, 4
Let j be -13 + (-2328)/(-96) + -11. Solve 1/2*p - 1/2*p**3 - j*p**2 + 1/4*p**4 + 0 = 0 for p.
-1, 0, 1, 2
Let f(u) be the second derivative of -5*u**3 + 5/12*u**4 - 17 + 25/2*u**2 - 2*u. Factor f(c).
5*(c - 5)*(c - 1)
Determine h, given that -595*h - 3*h**3 - 573*h + 0*h**3 - 39*h**2 + 1048*h = 0.
-8, -5, 0
Let g(j) = 25*j**3 - 40*j**2 - 20*j + 250. Let u(k) = -39*k**3 + 59*k**2 + 30*k - 376. Let d(f) = 8*g(f) + 5*u(f). Solve d(v) = 0.
-2, 3, 4
Determine a, given that -1/2*a**2 + 837*a - 700569/2 = 0.
837
Let g(w) be the first derivative of w**3/9 + 5634. Let g(y) = 0. What is y?
0
Let b = 1470/4693 - 2/361. Let p(h) be the first derivative of -3/13*h**2 + 1/26*h**4 + 0*h**3 + 3 - b*h. Factor p(m).
2*(m - 2)*(m + 1)**2/13
Factor -4/7*k**4 - 2340*k**2 - 98000 - 32900*k - 436/7*k**3.
-4*(k + 4)*(k + 35)**3/7
Let x(w) be the first derivative of 3*w**7/14 - w**6/10 - 13*w**5/10 + 7*w**4/3 - 4*w**3/3 + 4*w + 110. Let f(v) be the first derivative of x(v). Factor f(k).
k*(k - 1)*(k + 2)*(3*k - 2)**2
Let u(j) = 8*j - 77. Let f be u(10). Find d such that 84*d**3 + 0*d + 0*d + 12*d**2 - 86*d**f = 0.
0, 6
Let h(c) be the second derivative of 25/6*c**3 - 30*c**2 + 1/8*c**5 + 65/24*c**4 + 53*c + 2. Factor h(m).
5*(m - 1)*(m + 2)*(m + 12)/2
Let d(t) be the third derivative of t**7/735 + 29*t**6/210 - 17*t**5/30 + 5*t**4/7 - 2567*t**2. Solve d(i) = 0.
-60, 0, 1
Suppose -403 - 763 = -22*a. Suppose 0 = -a*c + 806 - 170. Factor -27*t**2 - c*t - 4/3.
-(9*t + 2)**2/3
Let q(f) be the third derivative of 8/525*f**7 - 19/75*f**5 + 2/5*f**3 - f - 7/30*f**4 + 0 + 47*f**2 - 1/30*f**6. Let q(v) = 0. Calculate v.
-1, 1/4, 3
Let u be (3/(-9) + (-21)/45)/((-2382)/3573). Factor 8/5 + 1/5*h**2 + u*h.
(h + 2)*(h + 4)/5
Let w(b) be the first derivative of -26*b**3/9 + 545*b**2/6 + 7*b - 2775. Let w(a) = 0. What is a?
-1/26, 21
Let q(z) be the first derivative of -1/2*z**3 + 1/4*z**4 - 3*z**2 + 14*z + 1. Let k(m) be the first derivative of q(m). Suppose k(d) = 0. What is d?
-1, 2
Suppose -29*x = -19*x + 7 - 47. Let y(z) be the first derivative of 8 - 18*z + 10/3*z**3 - 3*z**2 - 1/2*z**x. Factor y(q).
-2*(q - 3)**2*(q + 1)
Let r = -4392183/5 + 878442. What is a in -3/5*a**2 + 3/5*a**3 + r - 27/5*a = 0?
-3, 1, 3
Let v(d) be the third derivative of -d**5/570 - 229*d**4/19 - 629292*d**3/19 - d**2 - 2491. What is a in v(a) = 0?
-1374
Let w be (-2)/(-14) - (2 + (-764)/140). Let l(t) = t**3 - 5*t**2 + 2. Let r be l(0). Factor w + 2/5*f**r + 12/5*f.
2*(f + 3)**2/5
Let d be (-3*(-1)/4)/(3/8). Let w(f) be the first derivative of f - 1/4*f**d + 4 - 1/6*f**3. Factor w(c).
-(c - 1)*(c + 2)/2
Let n(r) be the second derivative of r**5/2 + 37*r**4/3 - 163*r**3/3 + 84*r**2 + 2258*r. Find t such that n(t) = 0.
-84/5, 1
Let c be 5402/(-185) - -19 - (-5 + -6). What is n in -c*n - 16/5 + 2/5*n**2 = 0?
-2, 4
Let y(x) be the third derivative of x**6/120 - x**5/10 - x**4/24 + x**3 + 6*x**2 - 96. Determine u so that y(u) = 0.
-1, 1, 6
Let s = 6009338/9 - 667704. Suppose h + h = 6. Factor 0 + 2/9*p**h - s*p**2 - 4/9*p.
2*p*(p - 2)*(p + 1)/9
Let j be 140/77 + (-20)/(-110). Let p be (0*(-11)/132)/(2*j). Find m such that -3/7*m**2 + 3/7*m + p = 0.
0, 1
Let n(j) be the second derivative of -j**4/78 - 32*j**3/39 + 528*j**2/13 - 48*j - 42. Determine a so that n(a) = 0.
-44, 12
Let r = -29745 + 29750. Factor -5*z**2 - 5/2*z**4 - 1/2*z**5 - r*z**3 - 1/2 - 5/2*z.
-(z + 1)**5/2
Let n(p) be the second derivative of p**6/75 - 39*p**5/50 - 41*p**4/15 - 1622*p. Factor n(w).
2*w**2*(w - 41)*(w + 2)/5
Let v be 2/7 + (-24070)/2905 - (-96)/9. Factor -4/3*m**2 + v + 10/9*m + 2/9*m**3.
2*(m - 4)*(m - 3)*(m + 1)/9
Suppose -4*q = -m - 28, 3*m = -829*q + 827*q + 14. What is x in 0 + 2/3*x**3 + m*x - 22/3*x**2 = 0?
0, 11
Factor 36*w**3 + 43*w**4 - 22*w**4 - 16*w**2 - 35*w**4 + 2*w**5 - 8*w**3.
2*w**2*(w - 4)*(w - 2)*(w - 1)
Let m = -9 + 13. Let c = 63 + -58. Suppose -y**5 + 0*y**4 - c*y**4 - m*y**5 = 0. Calculate y.
-1, 0
Let j(t) be the second derivative of 0*t**3 - 86*t + 0*t**5 + 3/4*t**4 + 0*t**2 - 1/30*t**6 + 0. Factor j(d).
-d**2*(d - 3)*(d + 3)
Let t be (-100 + 98)/((-20)/64). Factor t - 2/5*h**2 + 6*h.
-2*(h - 16)*(h + 1)/5
Let m(k) be the second derivative of -k**6/210 + k**5/21 - 4*k**4/21 + 8*k**3/21 - 17*k**2/2 + 51*k. Let x(u) be the first derivative of m(u). Factor x(t).
-4*(t - 2)**2*(t - 1)/7
Let k(h) be the first derivative of 3*h**5/5 + 447*h**4/4 + 5624*h**3 + 8214*h**2 + 1149. Factor k(p).
3*p*(p + 1)*(p + 74)**2
Suppose -5*l = 3*l - 16. Suppose -4*c + 20 = 5*w + 5, -2*w + l*c + 6 = 0. Suppose 2*i**2 - 8*i**2 + 2*i**3 + w*i**2 - 3*i**2 = 0. What is i?
0, 3
Factor -1/4*r**2 - 112225/4 - 335/2*r.
-(r + 335)**2/4
Let g(i) be the second derivative of i**6/90 - 7*i**5/10 - 2*i**3/3 + 2*i**2 - 35*i + 1. Let l(v) be the second derivative of g(v). Suppose l(m) = 0. What is m?
0, 21
Let s = 69/2 + -33. Suppose 0 = -m + k - 5, 2*k + 40 = 3*m + 46. Factor -1/2 + s*i - 1/2*i**5 - i**2 - i**3 + 3/2*i**m.
-(i - 1)**4*(i + 1)/2
Suppose 5*y - 16 = -6. Factor -27*n**5 + 6 - 2*n - 13734*n**3 - 72*n**y - n - 102*n**4 + 13596*n**3.
-3*(n + 1)**4*(9*n - 2)
Let h(r) be the second derivative of -r**6/480 - 13*r**5/240 - 5*r**4/48 + r**3 + 40*r**2 + 21*r. Let k(n) be the first derivative of h(n). Factor k(j).
-(j - 1)*(j + 2)*(j + 12)/4
Let r = -120 + 123. Let o be (((-8)/(-14))/(-4))/((-4)/14). Factor -2 + o*m**r - 2*m + 1/2*m**2.
(m - 2)*(m + 1)*(m + 2)/2
Suppose -5*q + 16 = 2*i, -4*i - 13*q + 14*q = -76. Find y such that -4*y**3 - 6 + y - 5 + 4 - i*y**2 + y**4 - 21*y = 0.
-1, 7
Let t(q) be the second derivative of -q**4/27 - 554*q**3/27 - 344*q. Factor t(k).
-4*k*(k + 277)/9
Let w(z) be the first derivative of z**6/6 - 7*z**5/2 - 5*z**4/12 + 35*z**3/3 - 42*z + 107. Let a(r) be the first derivative of w(r). Solve a(u) = 0 for u.
-1, 0, 1, 14
Let j(k) be the third derivative of k**5/120 - 209*k**4/24 + 43681*k**3/12 - 114*k**2. Solve j(p) = 0.
209
Let r(b) be the second derivative of 0*b**4 + 0*b**3 + 1/24*b**6 - 1/6*b**5 + 0 - 21*b**2 + 29*b. Let v(m) be the first derivative of r(m). Factor v(u).
5*u**2*(u - 2)
Let x(a) be the third derivative of -a**8/1008 - 8*a**7/315 + 67*a**6/360 + 533*a**5/90 - 169*a**4/3 - 197*a**2 + a. Let x(n) = 0. Calculate n.
-13, 0, 4, 6
Let k(v) be the third derivative of 1/140*v**7 + 0*v**3 - 112*v**2 + 0 + 3/40*v**6 + 1/8*v**5 + 0*v + 0*v**4. Factor k(x).
3*x**2*(x + 1)*(x + 5)/2
Let f(j) be the third derivative of j**6/420 - 2*j**5/21 - 52*j**4/21 - 64*j**3/3 - 2*j**2 - j - 11. Solve f(x) = 0.
-4, 28
Let b(j) be the third derivative of j**8/2