*w. Suppose d(c) = 0. What is c?
1, 2
Let j(c) be the third derivative of c**10/30240 - c**9/6048 + c**7/504 - c**6/144 - c**5/3 + 17*c**2. Let x(n) be the third derivative of j(n). Factor x(t).
5*(t - 1)**3*(t + 1)
Let o be (1*15)/(235 - 232). Let s(h) be the third derivative of 0 + 2/15*h**4 - 7/300*h**o - 2/15*h**3 + 0*h + 8*h**2. Factor s(a).
-(a - 2)*(7*a - 2)/5
Factor -2/11*z**3 - 14/11*z**2 + 0 + 60/11*z.
-2*z*(z - 3)*(z + 10)/11
Let n(i) = 12*i**5 - 15*i**4 - 21*i**3 - 6*i**2. Let f(m) = 24*m**5 - 29*m**4 - 42*m**3 - 12*m**2. Let z(g) = 3*f(g) - 5*n(g). Factor z(k).
3*k**2*(k - 2)*(2*k + 1)**2
Suppose 22 = -3*g - 2*y, -4*g + y = 3*y + 32. Let w = 12 + g. Solve -1/4 + 1/8*z + 1/8*z**w = 0 for z.
-2, 1
Let a = 48 - 46. Suppose 2*b + 8 = 0, 3*z = -a*b - 2 - 0. Suppose m**z + 0*m + 1/2*m**4 + 0 + 3/2*m**3 = 0. What is m?
-2, -1, 0
Let k(u) = 2*u**2 - 2. Let j(g) = -20*g**2 + 552*g + 19068. Let t(s) = -j(s) - 12*k(s). Let t(p) = 0. What is p?
-69
Let y(j) be the third derivative of j**6/40 - j**5/20 - j**4/4 - 81*j**2. Suppose y(v) = 0. Calculate v.
-1, 0, 2
Let s(y) be the third derivative of y**7/840 + y**6/60 + 23*y**5/240 + 7*y**4/24 + y**3/2 - 508*y**2. Factor s(w).
(w + 1)*(w + 2)**2*(w + 3)/4
Let s be 6*(-96)/(-64)*2/6. Factor 1/2*h**4 + 0*h + 0 + 1/2*h**2 - h**s.
h**2*(h - 1)**2/2
Let x be -4*5/(-10) - 112/64. Factor 0*g**3 - x*g**4 - 1/2*g + 0 + 3/4*g**2.
-g*(g - 1)**2*(g + 2)/4
Determine r, given that 16562*r**2 - 18 + 8 + 9 + 9 + 728*r = 0.
-2/91
Let x(g) be the first derivative of g**7/105 - 2*g**6/75 + g**4/15 - g**3/15 - 7*g + 4. Let m(k) be the first derivative of x(k). Factor m(r).
2*r*(r - 1)**3*(r + 1)/5
Let k(t) be the second derivative of t**7/2520 + t**6/270 - 4*t**3/3 + 20*t. Let c(n) be the second derivative of k(n). Solve c(g) = 0.
-4, 0
Let k(t) be the third derivative of t**6/360 + t**5/60 + t**4/36 - 21*t**2. Suppose k(p) = 0. Calculate p.
-2, -1, 0
Let d = 35033/9 - 3891. Determine s, given that d*s**2 + 0 - 8/9*s**3 - 2/3*s = 0.
0, 3/4, 1
Let z(x) be the first derivative of -x**3/4 - 21*x**2/8 + 45*x - 240. Factor z(s).
-3*(s - 5)*(s + 12)/4
Find g such that 4*g - 5*g**4 - 3*g**4 + 12*g + 2551*g**3 + 0*g**4 + 20*g**2 - 2557*g**3 + 2*g**5 = 0.
-1, 0, 2, 4
Factor 2/19*a**2 + 90/19*a + 0.
2*a*(a + 45)/19
Let p(h) be the third derivative of 0*h**3 + 1/160*h**6 - 5/32*h**4 - 7*h**2 + 0*h + 0 + 1/20*h**5. Factor p(m).
3*m*(m - 1)*(m + 5)/4
Let x be (-3 - -2)/(54/(-6)*(-7)/(-105)). Find q such that q**2 + 2/3 - 1/3*q**4 - x*q + 1/3*q**3 = 0.
-2, 1
Let l(y) be the second derivative of y**7/42 - 2*y**6/15 - 9*y**5/10 - 5*y**4/3 - 7*y**3/6 + 134*y - 1. Let l(j) = 0. What is j?
-1, 0, 7
Let v(m) be the first derivative of -4/3*m**3 + 1 + 20*m**2 + 0*m. Suppose v(b) = 0. What is b?
0, 10
Let o be (-3 - (-1 + -3))/(1/4). Find m such that -10/11*m**o + 6/11*m**2 - 14/11*m + 14/11*m**3 + 4/11 = 0.
-1, 2/5, 1
Let -44*t**2 + 19*t**2 + t**3 + 9*t**2 - 10 + 14*t**2 - 13*t = 0. What is t?
-2, -1, 5
Let h be 4/6 - (-392)/6. What is q in -q**3 - h*q**2 + 5*q**4 - 9*q**3 + 71*q**2 = 0?
0, 1
Let b be 8*1*(-74)/(-296). Determine h, given that 0 - 2/11*h + 2/11*h**b = 0.
0, 1
Factor 0 - 2/17*s**3 + 4/17*s**2 - 2/17*s.
-2*s*(s - 1)**2/17
Let v(p) = 47*p**2 + 379*p + 28. Let a be v(-8). Solve -6/7*r + 6/7*r**3 + 15/7*r**2 - 15/7*r**a + 0 = 0.
-1, 0, 2/5, 1
Let n(q) be the second derivative of 1/4*q**4 + 28*q + 1/8*q**5 + 0*q**2 + 0 - 1/60*q**6 + 0*q**3. Factor n(t).
-t**2*(t - 6)*(t + 1)/2
Let 0 - 8/7*w - 26/7*w**3 - 12/7*w**4 - 2/7*w**5 - 24/7*w**2 = 0. What is w?
-2, -1, 0
Let x = -8009/5 - -1603. Suppose -x*h + 2/5 + 6/5*h**2 - 2/5*h**3 = 0. Calculate h.
1
Suppose -14*v + 20 = -9*v. Let g(u) = 13*u - 50. Let a be g(v). Factor -3/2*r - 1/2*r**a + 2.
-(r - 1)*(r + 4)/2
Let g(j) = 4*j**2 - 10 - 10*j - 5*j**2 - 6 + 3. Let x be g(-8). Determine a so that -1/3 - 1/3*a**x + 1/3*a + 1/3*a**2 = 0.
-1, 1
Let w(i) = 12*i - 187. Let h be w(16). Let b(x) be the second derivative of 0 + 1/6*x**4 - x**2 + 3/10*x**h - 2*x - x**3. Factor b(l).
2*(l - 1)*(l + 1)*(3*l + 1)
Let i(d) = 6*d**5 + 9*d**4 + 15*d**3 - 3*d. Let j(f) = -3*f**5 - 4*f**4 - 8*f**3 - f**2 + f. Let m(b) = -5*i(b) - 9*j(b). Let m(a) = 0. Calculate a.
-2, -1, 0, 1
Let o(j) be the second derivative of j**4/12 - 13*j**3/6 + 20*j**2 + 158*j. Determine i so that o(i) = 0.
5, 8
Let z = -10 + 12. Factor -7*t**2 + 2*t**4 + z*t**2 - 4*t - t**4 + 4*t**3 - 3 + 7*t**2.
(t - 1)*(t + 1)**2*(t + 3)
Determine d so that 52*d**2 + 35152/3 - 1352*d - 2/3*d**3 = 0.
26
Factor 2*j + 2102*j**2 - j - 2096*j**2 - 2*j - j**5 - 6*j**4 + 6*j - 4*j**3.
-j*(j - 1)*(j + 1)**2*(j + 5)
Let y be (0/(1 + -4))/((-34)/(-17)). Factor 10/3*v**2 + y + 8/3*v**3 + 2/3*v**4 + 4/3*v.
2*v*(v + 1)**2*(v + 2)/3
Let 6/7 - 165/7*z**2 - 327/7*z = 0. Calculate z.
-2, 1/55
Let u(k) be the second derivative of -k**5/4 - 35*k**4/12 + 20*k**3/3 + 6*k + 1. Suppose u(h) = 0. Calculate h.
-8, 0, 1
Let k = -18706 + 18706. Suppose k*w - w**3 - 1/2*w**4 + 0 - 1/2*w**2 = 0. What is w?
-1, 0
Let n(x) be the first derivative of -2*x**2 + x**4 - 8*x + 8/3*x**3 + 3. Let n(d) = 0. Calculate d.
-2, -1, 1
Let u(f) be the third derivative of 5*f**8/168 + f**7/42 - f**6/8 - f**5/12 + 5*f**4/24 - 19*f**2 - 2*f. What is j in u(j) = 0?
-1, 0, 1/2, 1
Let o(t) be the second derivative of t**7/16380 + t**6/2340 + t**5/780 - 11*t**4/6 + 38*t. Let f(x) be the third derivative of o(x). Let f(w) = 0. What is w?
-1
Let z(j) = 2*j - 4. Let l be z(3). Let h = l + 0. Suppose -9*t**4 - t**h + 9*t**3 + 0*t**5 - 4*t**2 + 3*t**5 + 2*t**2 = 0. Calculate t.
0, 1
Let d(g) be the second derivative of g**4/12 + 5*g**3/3 - 5*g + 1. Let v be d(-10). Solve -2/5*x**2 + v*x + 2/5 = 0 for x.
-1, 1
Let l(g) be the second derivative of g**7/17640 + g**6/504 + 5*g**5/168 + 13*g**4/6 + 13*g. Let n(w) be the third derivative of l(w). Factor n(u).
(u + 5)**2/7
Let a(m) = 5*m**2. Let x(h) = -36*h**2 + 4*h - 4. Suppose 0*v = -4*v + 20. Let p(d) = v*x(d) + 35*a(d). Factor p(b).
-5*(b - 2)**2
Let h be (4 - 30/(-68)*18) + -4 + 9. Factor 194/17*t**2 + h + 44/17*t**3 + 2/17*t**4 - 528/17*t.
2*(t - 1)**2*(t + 12)**2/17
Let f(v) be the third derivative of v**7/140 - 5*v**6/8 + 97*v**5/40 - 3*v**4 + 71*v**2 + 3*v. Solve f(s) = 0 for s.
0, 1, 48
Let r(g) be the first derivative of -2*g**2 - 10 + 4/3*g**3 + 0*g. Factor r(q).
4*q*(q - 1)
Let w = 6493 + -58429/9. Let -w*k**2 - 38/9*k + 10/9 = 0. What is k?
-5, 1/4
Let g(l) = -l - 1. Let a(o) = 10*o + 6. Let w(b) = -a(b) - 5*g(b). Let r be w(-1). What is i in -2 + 12*i**r - 3*i - 27*i**3 + 27*i**2 - 1 - 6*i**3 = 0?
-1/4, 1
Let w(d) = -2*d + 24. Let o be w(7). Let c be (-12)/o*(2/1 - 3). Factor -12/5 - 3/5*b**4 - 12/5*b + 9/5*b**2 + c*b**3.
-3*(b - 2)**2*(b + 1)**2/5
Factor 0*i**4 - 25*i**3 + 33*i**3 + 4*i**4.
4*i**3*(i + 2)
Let d(x) be the second derivative of x**4/114 + 48*x**3/19 + 5184*x**2/19 - 52*x. Factor d(q).
2*(q + 72)**2/19
Suppose 4*o - 8 = 0, 0 = -2*a - 2*a + 2*o + 128. Let i = a - 31. Determine b, given that 2*b**i - 2*b**4 + 10/3*b**3 - 8/3*b**5 - 2/3*b + 0 = 0.
-1, 0, 1/4, 1
Let f(t) = 1 - 1 - 7 - 3*t - 4. Let y be f(-5). Solve -15*x**3 + x**y - x**2 + 15*x**3 = 0 for x.
-1, 0, 1
Let x(n) = -n**4 + n**2 - 1. Let d(j) = 3*j**4 + 3. Let t be (3 - 18/4)*-4. Let u(z) = t*x(z) + d(z). Factor u(a).
-3*(a - 1)**2*(a + 1)**2
Suppose -i = -5*m - 55, 0 = m + 2*m + 4*i + 56. Let t be (-24)/(-11) - m/(-66). Find n, given that -2*n - 69 + 69 - n**t = 0.
-2, 0
Find m, given that 45837*m + 29808*m + 2293*m**2 - 1063*m**2 + 5*m**3 = 0.
-123, 0
Let w(l) be the second derivative of -4/3*l**3 + 0*l**2 + 0 + 24*l - 21/10*l**5 + 49/15*l**6 - 4*l**4. Factor w(u).
2*u*(u - 1)*(7*u + 2)**2
Let n be 1/(-9) + 2115/81. Let -10*t**2 + n*t**2 - 9*t**3 - 10*t**2 = 0. Calculate t.
0, 2/3
Suppose 4*n**4 + 236*n**2 + n**5 + 16*n**4 + 81*n + 66*n**3 - 56*n**2 + 52*n**3 = 0. What is n?
-9, -1, 0
Let f(h) be the first derivative of 7/2*h**2 + 8 + 0*h - 1/210*h**5 - 1/28*h**4 + 4/21*h**3. Let v(s) be the second derivative of f(s). Factor v(k).
-2*(k - 1)*(k + 4)/7
Let i(x) = 85*x - 3653. Let c be i(43). Factor 3/2 - 9/4*a + 3/4*a**c.
3*(a - 2)*(a - 1)/4
Let m(t) = -t**2 + 13*t + 2824. Let g be m(-47). Find j such that j + 1/2 + 0*j**2 - j**3 - 1/2*j**g = 0.
-1, 1
Let k(d)