ive of -f**8/896 + f**7/280 - f**5/80 + f**4/64 - 243*f**2. Factor a(n).
-3*n*(n - 1)**3*(n + 1)/8
Let t be (((-10)/(-8))/(-5))/((-5)/40). Let w(m) be the second derivative of -m + 0*m**3 - 3/16*m**5 + 1/10*m**6 + 1/16*m**4 + 0*m**t + 0. Factor w(f).
3*f**2*(f - 1)*(4*f - 1)/4
Suppose -1245 = 19*j - 14*j. Let f = 1249/5 + j. Factor -f - 4/5*u**2 - 8/5*u.
-4*(u + 1)**2/5
Suppose 5*p - 12 = x, -5*p = 4*x - 6*x - 14. Suppose -p*j - 9 = -3*w - 27, w + 4 = 0. Factor -41*s**2 - 3*s**3 - 8 + 47*s**2 + 8*s**j + s**4 - 4*s.
(s - 1)*(s + 2)**3
Suppose 2/9*u**5 - 74/9*u - 52/9*u**2 + 8/9*u**3 + 16/9*u**4 - 28/9 = 0. What is u?
-7, -1, 2
Let r be (-7)/15 + 66/110. Let -4/15*t + 2/15*t**3 + 0 - r*t**2 = 0. What is t?
-1, 0, 2
Find a such that 36200 + 557*a + 171*a + 4*a**2 - 3076 = 0.
-91
Suppose 0*m**2 - 4/5*m**3 + 0*m + 0 = 0. Calculate m.
0
Factor -1/9*q**3 - 1/3*q**2 + 0*q + 4/9.
-(q - 1)*(q + 2)**2/9
Let 253*o**2 - 254*o**2 + o**4 + 0*o**3 + o**3 - o = 0. Calculate o.
-1, 0, 1
Let m(g) be the first derivative of 1/22*g**4 - 2/11*g - 1/11*g**2 + 12 + 2/33*g**3. What is o in m(o) = 0?
-1, 1
Let h(b) be the third derivative of -1/525*b**7 + 1/20*b**6 - 1/2*b**5 + 0*b**3 + 25/12*b**4 + 20*b**2 + 0*b + 0. What is w in h(w) = 0?
0, 5
Let n(x) be the first derivative of -21 + 0*x - 4/7*x**2 - 2/21*x**3. Let n(k) = 0. What is k?
-4, 0
Let f(l) be the second derivative of l**4/9 + 10*l**3/9 + 4*l**2 + 71*l + 1. Factor f(z).
4*(z + 2)*(z + 3)/3
Let d(y) = -13*y**2 - 2*y + 43. Let m(p) = 6*p**2 - 22. Let w(x) = -2*d(x) - 5*m(x). Let w(t) = 0. What is t?
-2, 3
Let x(j) be the second derivative of -5*j**4/12 + 10*j**3 + 65*j**2/2 - 29*j + 5. Factor x(o).
-5*(o - 13)*(o + 1)
Let f = -253 - -441. Let g = 1694/9 - f. Determine m so that -8/9*m - 8/9*m**2 - g = 0.
-1/2
Let y(l) be the second derivative of -l**5/3 + 11*l**4/3 - 16*l**3/3 - 8*l**2 + 37*l. Let p(u) be the first derivative of y(u). Determine m so that p(m) = 0.
2/5, 4
Let w = 1 - 0. Suppose -2*u + 4*i - 3*i = w, 0 = 2*i - 10. Factor 8 + 4*k**2 + 16*k + u - 4*k - 2.
4*(k + 1)*(k + 2)
Let y(x) be the second derivative of 0*x**2 + 1/168*x**7 - 12*x - 1/16*x**4 + 0 + 1/6*x**3 + 1/40*x**6 - 1/16*x**5. Let y(d) = 0. Calculate d.
-4, -1, 0, 1
Suppose -1 = -l + f, -4*l - 182*f + 6 = -184*f. Let 15/7*a - 6/7 - 9/7*a**l = 0. Calculate a.
2/3, 1
Let h(t) be the first derivative of -t**4/22 - 18*t**3/11 - 26*t**2/11 + 119. Factor h(i).
-2*i*(i + 1)*(i + 26)/11
Let m = -283/2 + 142. Let s(y) be the third derivative of 0*y + 0 - m*y**4 + 1/20*y**5 - y**2 + 3/2*y**3. Factor s(n).
3*(n - 3)*(n - 1)
Let d(w) = w**2 - 5*w. Let n(q) be the first derivative of q**3/3 - 2*q**2 - 9. Let g(b) = 2*d(b) - 3*n(b). Let g(m) = 0. What is m?
0, 2
Factor -362*w - 436*w - 411*w + 1414*w + 5*w**2.
5*w*(w + 41)
Let o(w) be the third derivative of -w**5/180 - 7*w**4/72 + 2*w**2 + 38*w. Factor o(h).
-h*(h + 7)/3
Let w(j) be the second derivative of 7*j**4/12 + 17*j**3/6 - 11*j**2 - j. Let u(n) = -8*n**2 - 18*n + 23. Let o(d) = -2*u(d) - 3*w(d). Factor o(y).
-5*(y - 1)*(y + 4)
Let y = -2896 + 2896. Solve -1/2*k + 1/2*k**2 + y = 0 for k.
0, 1
Let n = 52 - 35. Let 2*h**2 + n - 4 - 11*h + 19 - 5*h = 0. Calculate h.
4
Let m(b) be the first derivative of -5*b**4/8 - 17*b**3/3 - 23*b**2/4 + 3*b + 289. Suppose m(r) = 0. Calculate r.
-6, -1, 1/5
Let y(u) = 4*u**4 + 6*u**3 + 11*u**2 + 3*u. Let w(a) = -5*a**4 - 6*a**3 - 11*a**2 - 2*a. Let p = -52 + 48. Let t(h) = p*y(h) - 3*w(h). Factor t(d).
-d*(d + 1)*(d + 2)*(d + 3)
Let j be (-2)/3*-6*5/90. What is f in 4/9 - 2/9*f**2 + 2/3*f - 2/3*f**3 - j*f**4 = 0?
-2, -1, 1
Let j(i) be the first derivative of -875*i**6/2 + 95*i**5 + 805*i**4/2 + 500*i**3/3 + 20*i**2 - 91. Solve j(u) = 0.
-2/5, -2/7, -2/15, 0, 1
Let i be -4 + 60/(-24) + 7. Factor 0 + i*f - 1/4*f**2 - 1/4*f**3.
-f*(f - 1)*(f + 2)/4
Let b(k) be the third derivative of k**6/540 + k**5/270 - 2*k**4/27 - 4*k**3/9 + 2*k**2 - 1. Factor b(v).
2*(v - 3)*(v + 2)**2/9
Factor 180*c - 22 + 0*c**2 - 3*c**2 + 16 - 171*c.
-3*(c - 2)*(c - 1)
Suppose 0 = 7*q - 17 - 11. Factor 12*y**3 - 11 - q*y**4 - 8*y**2 + 0*y**4 + 11.
-4*y**2*(y - 2)*(y - 1)
Let i = 286 + -286. Let t(u) be the first derivative of 2/45*u**6 + i*u - 3 + 2/15*u**3 - 1/15*u**2 - 1/30*u**4 - 2/25*u**5. Find o, given that t(o) = 0.
-1, 0, 1/2, 1
Let m(f) be the first derivative of 49*f**5/30 + 7*f**4/24 - 131*f**3/18 + 31*f**2/4 - 3*f - 244. Solve m(a) = 0 for a.
-2, 3/7, 1
Determine d, given that -52 - 1/2*d**2 - 21/2*d = 0.
-13, -8
Let f(m) = -m**2 - 5*m + 18. Let g be f(-7). Let -x - 4*x - g*x**2 + 3*x - 6*x - 4 = 0. Calculate x.
-1
Factor 3/2*j**3 + 21/2*j + 33/2*j**2 - 441/2.
3*(j - 3)*(j + 7)**2/2
Suppose 118*h + 36*h**2 + 138*h + 336 - 516*h**3 + 512*h**3 = 0. What is h?
-3, -2, 14
Let c(u) = u**3 + 3*u**2 + 5*u. Let r(z) = 8*z + 6*z**2 + 17*z - 16*z + 2*z**3. Let j(y) = 5*c(y) - 3*r(y). Factor j(x).
-x*(x + 1)*(x + 2)
Factor 3/7*w**2 + 0 + 6/7*w.
3*w*(w + 2)/7
Suppose 15*v + 2588 = -44*v + 2765. Let 14/3*t - 10/3 + 2/15*t**v - 22/15*t**2 = 0. What is t?
1, 5
Suppose 65*k - 98 - 21 - 11 = 0. Factor -4/5*c + 2/5*c**3 + 2/5*c**k + 0.
2*c*(c - 1)*(c + 2)/5
Let d(u) = -9*u**5 + 9*u**4 + 11*u**2. Let b(g) = g**2 + g**5 + 158*g**4 - 2*g**5 - 157*g**4. Let r(y) = 22*b(y) - 2*d(y). Find h such that r(h) = 0.
0, 1
Suppose 7*f = 2*f - 150. Let c be 5/f*27/(-6). Factor 0*m - c*m**3 - 3/4*m**4 + 3/4*m**5 + 3/4*m**2 + 0.
3*m**2*(m - 1)**2*(m + 1)/4
Let z = 78 + -72. Find g such that -15*g**2 + z + 0*g**3 - g**3 - 27 + 4*g**3 - 39*g = 0.
-1, 7
Let q be ((-273)/(-35) + -5)/(12/30 + 2). Factor q*r**3 - 3/2*r**2 + 1/3*r + 0.
r*(r - 1)*(7*r - 2)/6
Let f(j) = -2*j + 18. Let r be f(8). Factor 99*k**2 - 15*k**3 + 2*k**4 - 109*k**r - 7*k**4.
-5*k**2*(k + 1)*(k + 2)
Let r be ((-234)/(-54))/(13/6). Factor 0 + v**4 + 12/7*v**3 - 2/7*v + 3/7*v**r.
v*(v + 1)**2*(7*v - 2)/7
Let y = 3007/1230 - -34/615. Factor y*f**2 + 0 - 3*f**3 + 0*f.
-f**2*(6*f - 5)/2
Factor -3/4*z**2 - 675/4 - 45/2*z.
-3*(z + 15)**2/4
Suppose 5*z = 5*k + 12 + 33, 2*k = -3*z - 8. Let a = 479 + -4307/9. Factor -2/3*g + 2/9*g**3 + 0*g**z + a.
2*(g - 1)**2*(g + 2)/9
Let d(o) be the first derivative of -15/2*o**2 - 3*o + 5*o**3 + 75/4*o**4 + 8*o**6 - 9 - 24*o**5. Factor d(b).
3*(b - 1)**3*(4*b + 1)**2
Let n(q) be the second derivative of q**7/105 + 4*q**6/75 - 3*q**5/50 - 7*q**4/15 - 8*q**3/15 - 2*q + 31. Solve n(h) = 0.
-4, -1, 0, 2
Let u(x) be the second derivative of x**7/63 + 34*x**6/45 + 16*x**5/5 + 47*x**4/9 + 31*x**3/9 + 2*x + 282. What is q in u(q) = 0?
-31, -1, 0
Let h(z) = 2*z - 19. Let j(t) = 1. Let c(x) = -h(x) + 3*j(x). Let g be c(11). Suppose 0*n + 2/9*n**2 + g = 0. Calculate n.
0
Let t(c) be the third derivative of c**8/4032 - c**7/252 + c**6/48 - c**5/18 - 29*c**4/24 - 23*c**2. Let g(o) be the second derivative of t(o). Factor g(k).
5*(k - 4)*(k - 1)**2/3
Let b(v) be the first derivative of -v**3 + 12/5*v**5 + 52 + 0*v + 0*v**2 + 9/4*v**4. Find m such that b(m) = 0.
-1, 0, 1/4
Solve 34/13*z**2 + 0 + 36/13*z - 2/13*z**3 = 0.
-1, 0, 18
Let s(f) be the second derivative of -f**5/70 - f**4/14 + 10*f**3/21 - 105*f. Factor s(y).
-2*y*(y - 2)*(y + 5)/7
Suppose -62*d = -43*d. Find b, given that 0*b**2 - 1/3*b**4 + d + 4/3*b - b**3 = 0.
-2, 0, 1
Let c(l) = 1. Suppose m + 0*m + 43 = 3*p, 77 = 5*p + m. Let u(a) = a**2 + 3*a - 9. Let w(x) = p*c(x) + 3*u(x). What is o in w(o) = 0?
-4, 1
Suppose 3*h + 4*j = -h - 76, 0 = 2*h - 4*j + 68. Let c = -47/2 - h. What is l in -1/2 + l**3 - l + c*l**4 + 0*l**2 = 0?
-1, 1
Let w(k) be the third derivative of k**7/4620 + k**6/990 - k**5/220 - k**3 + 7*k**2. Let b(n) be the first derivative of w(n). Suppose b(s) = 0. What is s?
-3, 0, 1
Let m(b) = 5*b**3 - 4*b**2 + 2*b + 1. Let j = -98 - -99. Let o be m(j). Determine k so that 20/3*k**3 - 28/3*k**5 + 8/3*k + 0 + 12*k**2 - 12*k**o = 0.
-1, -2/7, 0, 1
Let c(i) be the first derivative of 0*i + 1/5*i**4 + 0*i**2 + 2/25*i**5 + 0*i**3 - 13. Factor c(k).
2*k**3*(k + 2)/5
Let s be (55/(-15) - -3)*2/(-4). Factor 4/3*x**2 + 1/3*x**5 + 0 + 4/3*x**4 + s*x + 2*x**3.
x*(x + 1)**4/3
Let i be 130/(-52) - (3/7 - 621/126). Suppose -2/5*m**i + 8/5*m - 6/5 = 0. Calculate m.
1, 3
Let n(i) be the first derivative of -i**6/42 + i**5/7 + i**4/2 + 2*i**3/21 - 13*i**2/14 - i - 96. Factor