d derivative of m(c). Factor h(t).
-t*(t + 1)
Let a = 436 + -434. Solve 0 + 0*m + 0*m**a - 1/3*m**3 = 0.
0
Let k = -12010 + 24021/2. Find w, given that -19/6*w**2 - 5/6*w**3 + 2/3*w**4 + k - 7/6*w = 0.
-1, 1/4, 3
Let z(a) = a**2 + 1. Let k = 14 + -15. Let c(i) = 5*i**2 + 4. Let p(w) = k*c(w) + 4*z(w). Factor p(q).
-q**2
Let z be ((-3530)/(-1059))/(0 - 10/(-4)). Factor 4/3*o - 1/3*o**2 + z - 1/3*o**3.
-(o - 2)*(o + 1)*(o + 2)/3
Let o = 51450603/330235 + 2/66047. Let p = -155 + o. Suppose 0*k**2 - p + 2/5*k**3 - 6/5*k = 0. Calculate k.
-1, 2
Let p(x) be the first derivative of x**6/21 - 2*x**4/7 - 4*x**3/21 + 3*x**2/7 + 4*x/7 - 187. Factor p(b).
2*(b - 2)*(b - 1)*(b + 1)**3/7
Factor -9 - 15/2*v + 3/2*v**2.
3*(v - 6)*(v + 1)/2
Suppose -45 = 11*k - 16*k. Factor -32 + w**3 + 2*w**2 + 8*w + 30 - k*w.
(w - 1)*(w + 1)*(w + 2)
Suppose 19*x = -2*f + 20*x + 2, -5*x = -10. Suppose -5*j + 13 = 3. Let -4/3*t + j*t**f + 4/3*t**3 + 0 = 0. What is t?
-2, 0, 1/2
Let q(d) be the first derivative of -1058*d**3/33 + 276*d**2/11 - 72*d/11 + 179. Factor q(u).
-2*(23*u - 6)**2/11
Let t be (76/(-304))/(8/(-4)). Suppose 1/8*d**4 - 21/8*d + t*d**2 + 5/8*d**3 - 9/4 = 0. Calculate d.
-3, -1, 2
Let i(s) = 3*s**5 + 14*s**4 - 62*s**3 + 70*s**2 - 2*s + 2. Let w(q) = 2*q**5 - q**3 - q**2 - q + 1. Let v(f) = 5*i(f) - 10*w(f). Factor v(g).
-5*g**2*(g - 6)**2*(g - 2)
Find q, given that -2/5*q**4 - 4/5*q**3 + 6/5*q**2 + 0*q + 0 = 0.
-3, 0, 1
Suppose 8*v = 6*v - 74. Let d = v + 39. Factor 4*z**d - 4*z**4 + 16*z**3 - 8*z**2 - 12*z**2.
-4*z**2*(z - 2)**2
Let j(d) be the third derivative of -d**6/120 - d**4/24 - 11*d**2. Let z(w) = 7*w**3 + 9*w**2 + 33*w + 27. Let r(t) = 6*j(t) + z(t). Factor r(q).
(q + 3)**3
Let m(o) = 3*o**2 + 14*o + 27. Let y(x) = x. Let l(h) = -2*h. Let w(g) = 2*l(g) + 5*y(g). Let z be 22/(-5) + (-6)/(-15). Let p(c) = z*w(c) - m(c). Factor p(a).
-3*(a + 3)**2
Suppose -11*n = -n. Suppose n = -4*j - j + 10. Factor r - 1/2*r**j - 1/2.
-(r - 1)**2/2
Let y(m) = m - 2. Let u be y(4). Let x = -2 + 4. What is o in -o**x - o - u*o + o + 6 - 3 = 0?
-3, 1
Let p(q) be the second derivative of q**7/273 - 8*q**6/195 + 21*q**5/130 - 7*q**4/39 - 20*q**3/39 + 24*q**2/13 - 741*q. Determine h so that p(h) = 0.
-1, 2, 3
Let v = -103 - -105. Let o = -5 - -47/9. Factor -4/9*y - o*y**v + 0 + 2/9*y**3.
2*y*(y - 2)*(y + 1)/9
Let x be (0 - -1)*(-72)/(-648). Let u(v) be the second derivative of -1/10*v**5 - 1/9*v**7 + x*v**4 + 8*v + 0 + 0*v**2 - 4/15*v**6 + 0*v**3. Factor u(p).
-2*p**2*(p + 1)**2*(7*p - 2)/3
Let t(z) = -2*z + 2. Let k be t(-4). Suppose -5 = -5*u - w, k = -9*u + 4*u - 4*w. Factor -3*r**u + 2 - 7 - 7 + 12*r + 0.
-3*(r - 2)**2
Let n(t) be the first derivative of 2*t**3/21 + 18*t**2/7 + 16*t + 184. Let n(g) = 0. Calculate g.
-14, -4
Let t(a) be the first derivative of -a**9/10584 - a**8/1960 - a**7/1470 - 25*a**3/3 + 7. Let f(w) be the third derivative of t(w). Suppose f(k) = 0. What is k?
-2, -1, 0
Let z(b) be the second derivative of -b**8/672 + b**7/210 - b**5/60 + b**4/48 + 3*b**2/2 + 11*b. Let y(k) be the first derivative of z(k). Solve y(w) = 0 for w.
-1, 0, 1
Let w(y) be the second derivative of 5*y**4/36 + 5*y**3/18 - 50*y**2/3 + y - 555. Factor w(z).
5*(z - 4)*(z + 5)/3
Let z(v) be the third derivative of v**7/15120 - v**6/4320 + v**4/6 + 13*v**2. Let n(l) be the second derivative of z(l). Determine d, given that n(d) = 0.
0, 1
Suppose 14 = 13*w - 25. Let m(v) be the second derivative of -5*v + 0 + 1/54*v**4 + v**2 + 2/9*v**w. Determine c so that m(c) = 0.
-3
Let c(t) be the third derivative of 0 + 0*t**4 - 1/105*t**5 + 0*t**3 + 0*t - 1/735*t**7 - 1/140*t**6 - 26*t**2. Factor c(w).
-2*w**2*(w + 1)*(w + 2)/7
Let m(s) = 14*s**2 - 137*s - 140. Let d(b) = 5*b**2 - 45*b - 46. Let a(t) = -11*d(t) + 4*m(t). Factor a(z).
(z - 54)*(z + 1)
Let a(w) = w**4 - 13*w**3 + 27*w**2 - 25*w + 10. Let k(g) = g**3 - 1. Let q(t) = -a(t) - 2*k(t). Suppose q(f) = 0. Calculate f.
1, 8
Determine a so that 26 + 48 - 30*a - 3*a**2 - 41 = 0.
-11, 1
Let h(p) = 2*p**4 + 8*p**3 + 6*p**2 + 6*p + 12. Let r(w) = 3*w**4 + 10*w**3 + 7*w**2 + 7*w + 14. Let v(g) = 7*h(g) - 6*r(g). Factor v(s).
-4*s**3*(s + 1)
Factor -72*f - 3*f**3 - 288 + 5*f**3 + 46*f**2 + 221*f + 91*f.
2*(f - 1)*(f + 12)**2
Suppose -3*j + 38 = 2*o + 5, 0 = 5*o + j - 50. Factor -o*n - 5*n**2 - 9*n - 8*n + n.
-5*n*(n + 5)
Let s(v) = -4*v + 130. Let m be s(32). Let b(t) be the first derivative of -12/7*t**m - 9/14*t**4 - 1 + 50/21*t**3 - 8/7*t. Suppose b(h) = 0. Calculate h.
-2/9, 1, 2
Let l(i) be the third derivative of -i**7/1155 + i**6/165 - i**5/55 + i**4/33 - i**3/33 - 30*i**2 - 2*i. Factor l(q).
-2*(q - 1)**4/11
Let z be -2*2/(3 - 1). Let n(f) = -f**2 - 3*f. Let r be n(z). Suppose -2*w**2 + r*w**4 - 8/3*w**5 + 10/3*w**3 + 0 - 2/3*w = 0. Calculate w.
-1, -1/4, 0, 1
Let j(l) = -9*l**2 - 3*l. Suppose 2*x + 19 - 7 = 0. Let y(r) = -2*r - 8*r - 19*r**2 + 3*r. Let c(k) = x*y(k) + 13*j(k). Determine v, given that c(v) = 0.
0, 1
Let b = -5 + 10. Suppose b*v = 17 + 3. Suppose -43*p**2 + 33*p**2 + 32*p - 20*p**2 + 108*p**v - 42*p**2 - 4 = 0. What is p?
-1, 1/3
Let f = 5 + -9. Let h(i) = -i**3 - 2*i**2 + 6*i - 5. Let p be h(f). Factor -o**p + 0*o + 0*o + o**4 + 0*o**3.
o**3*(o - 1)
Let z(s) be the second derivative of -s**8/5040 + s**7/840 - s**6/540 - 19*s**3/3 + 45*s. Let c(j) be the second derivative of z(j). What is p in c(p) = 0?
0, 1, 2
Suppose -41*c + 8 = -40*c. Let x(w) = 4*w**2 + 7*w + 7. Let a(h) = 11*h**2 + 20*h + 20. Let v(g) = c*x(g) - 3*a(g). Factor v(y).
-(y + 2)**2
Let a = -98 - -92. Let r = a + 8. Factor 3/2*i**3 - 3/2*i + 1/2 - 1/2*i**r.
(i - 1)*(i + 1)*(3*i - 1)/2
Let s = -27419/60 + 457. Let j(u) be the second derivative of -s*u**6 + 1/2*u**2 + 0 + 1/4*u**3 - u - 3/40*u**5 - 1/24*u**4. Determine f so that j(f) = 0.
-2, -1, 1
Factor -2/3*j**3 + 2*j**2 - 8 + 8/3*j.
-2*(j - 3)*(j - 2)*(j + 2)/3
Let v(a) be the first derivative of -14*a**5/25 - 12*a**4/5 - 4*a**3 - 16*a**2/5 - 6*a/5 + 63. Solve v(s) = 0.
-1, -3/7
Let o(i) be the third derivative of i**5/160 + 13*i**4/64 - 7*i**3/8 - 43*i**2 + 1. Factor o(t).
3*(t - 1)*(t + 14)/8
Let w(s) = s**3 - 8*s**2 + 9*s - 9. Let i be w(7). Let o(m) be the second derivative of 0 + 5/6*m**3 + 6*m - 1/3*m**4 + 1/20*m**i - m**2. Solve o(x) = 0 for x.
1, 2
Find c such that -12*c**3 - 4*c**5 - c**4 + 0*c**4 + 4*c**3 - 11*c**4 = 0.
-2, -1, 0
Suppose -d = -0 - 3. Let w = d + -1. What is s in 9*s**2 - 11*s**2 - 12*s**3 - 8 + 4*s**4 + 12*s + 6*s**w = 0?
-1, 1, 2
Determine x, given that 365*x + 42*x**3 - 189*x - 215*x + 24*x**2 - 30 - 3*x**5 + 6*x**4 = 0.
-2, -1, 1, 5
Factor 16/9 + 8/9*z - 10/9*z**3 - 4/3*z**2 - 2/9*z**4.
-2*(z - 1)*(z + 2)**3/9
Let k(t) be the second derivative of 3*t**5/20 - 3*t**3/2 - 3*t**2 + 17*t - 1. Suppose k(m) = 0. Calculate m.
-1, 2
Let o(n) be the first derivative of n**3/18 + 49*n**2/12 + 8*n - 267. Determine d, given that o(d) = 0.
-48, -1
Suppose -144 - 1/4*u**2 - 12*u = 0. What is u?
-24
Suppose -2*v + 3*k + 81 = 2*v, -5*v - k = -87. Suppose -4*t + 16 = -2*z, -3*z - 13*t = -v*t + 19. Factor 1/6*y**z + 1/2*y + 0.
y*(y + 3)/6
Suppose 2*r + 7*r - 13*r = 0. Let b(s) be the third derivative of 0*s**3 - 1/90*s**5 + r - s**2 + 0*s - 1/360*s**6 - 1/72*s**4. What is t in b(t) = 0?
-1, 0
Suppose 4*r - 3*p = 23 - 2, -3*p - 9 = 0. Suppose 19 - 4 = 5*o + x, -o - 3*x = -r. Factor 2/15*w + 2/15*w**o + 0 - 4/15*w**2.
2*w*(w - 1)**2/15
Let b(g) be the first derivative of g**7/90 - 2*g**6/45 + 11*g**5/180 - g**4/36 - g**2 - 6. Let y(k) be the second derivative of b(k). Factor y(p).
p*(p - 1)**2*(7*p - 2)/3
Let v(x) be the second derivative of x**4/42 - 44*x**3/7 + 4356*x**2/7 + 134*x. Factor v(m).
2*(m - 66)**2/7
Factor -2*p**3 + 0 - 1/2*p**4 - 3*p + 11/2*p**2.
-p*(p - 1)**2*(p + 6)/2
Factor 5*s**3 + 35 + 37 + 784*s**2 - 2*s**3 - 787*s**2 - 42*s + 0.
3*(s - 3)*(s - 2)*(s + 4)
Let d = -45/97 + 613/485. Factor 1/5*h**2 - d*h + 4/5.
(h - 2)**2/5
Let x = 136 - 139. Let h be (-2)/(6/x + 1). Let 0 - 4/5*m**h + 8/5*m - 112/5*m**3 = 0. What is m?
-2/7, 0, 1/4
Let a = -28 - 8. Let s = a + 36. Determine z, given that -1/5*z**3 - 1/5*z**2 + 0*z + s + 1/5*z**4 + 1/5*z**5 = 0.
-1, 0, 1
Let y(m) = -m**2 + 7*m - 7. Let x be y(5). Find j, given that 0*j + 2*j**3 + j + j**x - 2*j**4 + 3*j**2 + 3*j**4 