- f*o**2 - 2*o - 4/5 + 2/5*o**4.
2*(o - 2)*(o + 1)**3/5
Let t(f) be the third derivative of f**9/12096 + f**8/2016 - f**7/144 + f**6/36 + f**5/30 + 12*f**2. Let c(d) be the third derivative of t(d). Solve c(m) = 0.
-4, 1
Let i be (189/210)/((-6)/(-10)). Let y(v) be the second derivative of 0 + i*v**2 + 3/2*v**4 + 1/10*v**6 - 3/5*v**5 - 2*v**3 - 5*v. Factor y(l).
3*(l - 1)**4
Factor 2*r**3 - 2/5*r**5 + 2*r**4 - 10*r**2 - 16*r - 32/5.
-2*(r - 4)**2*(r + 1)**3/5
Let t(l) = l**2 - l. Let y be (-12)/(-8)*(-36)/(-3). Let x(k) = -10*k**2 + 10*k. Let b(p) = y*t(p) + 2*x(p). Suppose b(i) = 0. What is i?
0, 1
Let j(t) be the third derivative of 0*t - 12*t**2 - 1/9*t**4 - 2/3*t**3 + 0 - 1/135*t**5. Determine n, given that j(n) = 0.
-3
Let b(x) = x**2 - 10*x + 4. Let i(d) = -16*d + 5. Let o(n) = 15*n - 5. Let m(r) = -5*i(r) - 6*o(r). Let y(c) = 5*b(c) - 4*m(c). Suppose y(v) = 0. Calculate v.
0, 2
Find l such that 6*l + 4*l**2 + 78*l - 28*l + 96 = 0.
-12, -2
Let a be (-3)/((-6)/4) - 1 - -1. Let w be (-15 + 15)/(a*6/(-4)). What is i in 0*i**2 + 0*i**3 + w - 2/5*i**5 - 2/5*i**4 + 0*i = 0?
-1, 0
Let w = -5914/13 + 17768/39. Factor 4*m**3 + 2/3*m + 8/3*m**2 + 0 + 8/3*m**4 + w*m**5.
2*m*(m + 1)**4/3
Let i be (-91)/780 + ((-27)/15 - -2). Let v(k) be the third derivative of 0 - i*k**3 - 1/32*k**4 + 1/480*k**6 + 0*k**5 + 0*k - k**2. Factor v(w).
(w - 2)*(w + 1)**2/4
Suppose 5*l = 4*h + 44, l = h + 5 + 3. Suppose 0 = -p - 5*p + l. Solve -2/3*g**p + 2/9 + 4/9*g = 0 for g.
-1/3, 1
Let b(k) be the third derivative of 9/560*k**8 - 4*k**2 + 0*k + 9/40*k**4 + 33/350*k**7 + 23/100*k**6 + 3/10*k**5 + 1/10*k**3 + 0. Factor b(m).
3*(m + 1)**3*(3*m + 1)**2/5
Let l = -1106 - -1114. Let p(s) be the third derivative of 4/15*s**5 - 2/3*s**3 + 1/15*s**6 - 1/3*s**4 + 0*s - 2/35*s**7 + 0 + l*s**2. What is h in p(h) = 0?
-1, -1/3, 1
Let v(h) be the second derivative of 1/6*h**6 + 0 - 5*h**2 - 10*h + 5/2*h**3 + 5/12*h**4 - 3/4*h**5. Factor v(a).
5*(a - 2)*(a - 1)**2*(a + 1)
Let o(q) = q**5 - q**3 + q**2 - q + 1. Let r(c) = c**5 - 2*c**4 - c**3 + 5*c**2 - 3*c + 3. Let v(w) = 3*o(w) - r(w). Determine n, given that v(n) = 0.
-1, 0, 1
Let w(b) = -4*b**3 - 3*b**2 - 2*b - 3. Let c(l) = -3*l**3 - 3*l**2 - 2*l - 2. Suppose -5*v + 22 = -16*v. Let r(o) = v*w(o) + 3*c(o). Factor r(m).
-m*(m + 1)*(m + 2)
Suppose 0*n - 5*n = 70. Let p = n - -16. Factor -3*m**2 - 2*m + 10*m - p*m.
-3*m*(m - 2)
Suppose -3*f - 8 = 25. Let o be f/(-6) + (-5)/(-30). Factor -9/2*a + 3/4*a**o + 27/4.
3*(a - 3)**2/4
Let k(t) be the second derivative of -t**8/13440 + t**7/3024 + t**6/1080 - t**5/180 - 2*t**4/3 + 30*t. Let a(j) be the third derivative of k(j). Factor a(q).
-(q - 2)*(q + 1)*(3*q - 2)/6
Let q(v) be the first derivative of 2*v**3/21 - 2*v**2/7 + 2*v/7 + 96. Let q(d) = 0. What is d?
1
Let o(s) be the third derivative of -1/15*s**5 + 0*s**3 + 29*s**2 + 0 + 0*s + 1/3*s**4. Factor o(l).
-4*l*(l - 2)
Let x(v) be the third derivative of -v**5/300 - 3*v**4/40 - 7*v**3/15 - 48*v**2. Factor x(h).
-(h + 2)*(h + 7)/5
Let y(f) be the third derivative of f**6/540 - 16*f**5/135 + 29*f**4/108 + 62*f**3/27 + 840*f**2. Find u such that y(u) = 0.
-1, 2, 31
Let u be 5 - ((-50)/(-12) + 6/18). Factor 1/2*t**3 - u*t + 0 + 1/2*t**2 - 1/2*t**4.
-t*(t - 1)**2*(t + 1)/2
Solve 13 + 39*y - 2 + 7 + 1793*y**2 - 6*y**3 - y**5 - 1773*y**2 - 6*y**4 = 0.
-3, -1, 2
Factor -97/2*y + 1/2*y**4 + 15/2*y**2 + 30 + 21/2*y**3.
(y - 1)**2*(y + 3)*(y + 20)/2
Let h(w) be the third derivative of 0 - 6*w + 4/21*w**3 - 1/28*w**4 + w**2 + 1/420*w**5. Factor h(s).
(s - 4)*(s - 2)/7
Suppose 5*b - 133 = -2*t - 37, -5*b + 20 = 0. Let 2*z**3 + 38*z + 2*z**2 - t*z = 0. What is z?
-1, 0
Suppose -132 = -44*k + 3*k - 25*k. Find i such that -5*i**4 + 5/3 + 10/3*i**k - 5*i + 5/3*i**5 + 10/3*i**3 = 0.
-1, 1
Let k(b) be the first derivative of -b**3/12 + 19*b**2/4 + 39*b/4 - 125. Suppose k(r) = 0. What is r?
-1, 39
Let b(g) = -2*g**3 + 7*g**2 - 5*g. Let s(h) = -11*h + 43*h + 7*h**3 - 22*h**2 - 17*h. Let i(p) = 8*b(p) + 3*s(p). Solve i(c) = 0 for c.
0, 1
Let i be ((-176)/(-24) - 8)*(-6)/2. Let t(z) be the first derivative of -8/5*z**5 + 0*z + 3 - 4/3*z**3 - z**i + 7/2*z**4. Find d, given that t(d) = 0.
-1/4, 0, 1
Let -1/2*z**4 + 1/2*z**2 - 1/8*z**3 + 0*z + 0 + 1/8*z**5 = 0. Calculate z.
-1, 0, 1, 4
Suppose -5*c = -15 - 15. Let b be ((-2)/c)/((-9)/54). Factor -148*u**3 - 8*u + 12*u**5 - 28*u**4 + u**b + 11*u**2 + 160*u**3.
4*u*(u - 1)**3*(3*u + 2)
Factor 3599 - 12*l**2 - 19*l + 12*l**4 + 9*l**3 - 3599 + 10*l.
3*l*(l - 1)*(l + 1)*(4*l + 3)
Let 27/2 - 3/4*o**2 - 21/4*o = 0. What is o?
-9, 2
Let s(n) be the first derivative of -9*n**5/40 + 3*n**4/16 + 7*n**3/8 + 3*n**2/8 - 71. Let s(w) = 0. What is w?
-1, -1/3, 0, 2
Factor -31*j + 24 + 0 + 11 + 3*j**2 + 82*j + 13.
3*(j + 1)*(j + 16)
Let v(d) = d**2 + 7*d - 2. Let a be v(-8). Suppose 0*o - 2*o - 2 = 0, x = 4*o + a. Solve -2*t**4 + 6*t**5 - x*t**5 - 2*t**4 = 0 for t.
0, 1
Let g(m) = -m**3 - m**2 + 8*m - 16. Let q be g(-4). Factor q - 1/2*c**2 + 3/2*c.
-c*(c - 3)/2
Suppose 1/3*x**4 + 8/3*x + 0 + 2*x**3 - 5*x**2 = 0. What is x?
-8, 0, 1
Suppose -7*y + 17*y - 210 = 0. Factor 5*p**2 - 3*p**5 - y*p**3 + 15*p**4 - 2*p**5 - 4*p**3 + 10*p**3.
-5*p**2*(p - 1)**3
Factor 2/11*i**4 + 8/11*i**3 - 2*i**2 + 0 + 12/11*i.
2*i*(i - 1)**2*(i + 6)/11
Let r(m) be the third derivative of -2*m**7/105 - m**6/6 + 2*m**5/5 + 4*m**2. What is p in r(p) = 0?
-6, 0, 1
Suppose -45*s**5 - 22 + 160*s - 7371*s**4 + 465*s**2 + 165*s**3 - 38 + 7246*s**4 = 0. What is s?
-3, -1, 2/9, 2
Suppose 14*u = 19*u + 5. Let f = u - -4. Factor -10 - 8*j**2 - 4*j**3 + 2*j**f + 2*j**4 + 8*j + 10.
2*j*(j - 2)*(j - 1)*(j + 2)
Suppose 0 = -5*b - w + 9 + 1, 2 = 4*b + 2*w. Let u(f) be the second derivative of 6*f**2 + 3/20*f**5 + 0 + 5/4*f**4 + 2*f + 4*f**b. Factor u(t).
3*(t + 1)*(t + 2)**2
Let y be (-8)/6*(-2)/12. Let v(r) be the first derivative of -1/3*r**4 - y*r**3 + 0*r**2 + 0*r - 2/15*r**5 - 3. Factor v(q).
-2*q**2*(q + 1)**2/3
Let b be (16 + 0)/((-3)/9). Let j be b/(-20) + (-12)/30. Factor -2/3 + 2/3*m**j + 0*m.
2*(m - 1)*(m + 1)/3
Let i(o) = 36 + 12*o**2 - 19*o**2 - 30*o + 13*o**2. Let n(z) = 3*z**2 - 15*z + 18. Let r(v) = -3*i(v) + 7*n(v). Suppose r(p) = 0. Calculate p.
2, 3
Suppose 4*x - 20 = -4. Suppose 2*i**3 - 73*i - x*i**4 + 73*i + 2*i**2 = 0. Calculate i.
-1/2, 0, 1
Let j be (-310)/4*(-12)/15. Factor j*l**2 - 9*l**4 - 54*l**2 + 3*l**4 - 2*l**5.
-2*l**2*(l - 1)*(l + 2)**2
Let o(h) be the first derivative of h**4/12 + 5*h**3/9 - 11*h**2/3 + 16*h/3 + 78. Suppose o(f) = 0. What is f?
-8, 1, 2
Let n(j) be the third derivative of -j**7/504 + j**6/144 + 5*j**4/8 + 27*j**2. Let q(a) be the second derivative of n(a). Suppose q(o) = 0. Calculate o.
0, 1
Let s be 13/5 + (-20)/(-50). Suppose 0 = s*d + d - 24. Solve 0*n**2 - 3*n + 5 - d - n**2 - 1 = 0.
-2, -1
Let s(t) be the first derivative of 3*t**5/5 - 357*t**4/4 - 363*t**3 - 1095*t**2/2 - 366*t + 964. Suppose s(z) = 0. What is z?
-1, 122
Let d(f) be the third derivative of f**8/560 - f**6/25 + 3*f**5/50 + 7*f**4/40 - 3*f**3/5 + 460*f**2. Solve d(a) = 0.
-3, -1, 1, 2
Let r(j) be the second derivative of 19*j + 0*j**2 + 0 + 2/15*j**3 + 1/2*j**4 + 33/50*j**5 + 29/75*j**6 + 3/35*j**7. Solve r(l) = 0 for l.
-1, -2/9, 0
Let w(z) be the third derivative of -8/21*z**3 + 0 - 13/21*z**4 - 11/420*z**6 + 0*z + 11*z**2 - 23/105*z**5. Factor w(s).
-2*(s + 2)**2*(11*s + 2)/7
Let i = -36 + 38. Let -3*c + 0*c - c**i - 3*c**2 + c**2 = 0. Calculate c.
-1, 0
Let f(o) = 10*o + 16 + o**2 - 7 - 3*o. Let u be f(-6). Let -2*m**4 + 2*m**4 - 2*m**4 + 2*m**2 - 3*m**u + 3*m**4 = 0. What is m?
0, 1, 2
Factor 4*m**3 - m - 3*m**3 - 74*m**2 + 73*m**2 + 2 - 1.
(m - 1)**2*(m + 1)
Let f(v) be the third derivative of -v**8/560 + v**7/630 - v**5/30 - 3*v**2. Let i(u) be the third derivative of f(u). Suppose i(r) = 0. Calculate r.
0, 2/9
Suppose 0 + 10/7*m**4 - 2*m**3 + 2/7*m**5 + 12/7*m - 10/7*m**2 = 0. What is m?
-6, -1, 0, 1
Let q(f) be the first derivative of 2*f**3/63 - 2*f**2/3 + 14*f/3 + 141. Factor q(s).
2*(s - 7)**2/21
Let p(q) be the third derivative of q**7/150 + q**6/300 - 7*q**5/100 + q**4/15 + 2*q**3/15 - 459*q**2. Suppose p(n) = 0. What is n?
-2, -2/7, 1
Let t = 719/132 + -93/44. Let m(r) be the second derivative of 0 + 5/12*r**4 + 5*r + 15/2*r