 + r**2 + 0*r**6 + 0*r**4 + n*r**8. Factor t(j).
4*j**4*(j + 1)
Suppose 21/5*s**2 + 24/5 - 9/5*s**4 - 3/5*s**5 + 21/5*s**3 - 54/5*s = 0. Calculate s.
-4, -2, 1
Suppose 0 = 5*k + 5*o + 100, -5*k + 3*k - 28 = -4*o. Let y be (-1)/2 - (81/k + 4). What is g in 24/5*g**3 + 87/5*g**4 + 36/5*g**5 - 12/5*g**2 + y + 0*g = 0?
-2, -2/3, 0, 1/4
Let s be 42 + -30 - (-4)/(-1). Let a(q) be the first derivative of -32/3*q**3 - s*q**2 - 2*q + 4. Factor a(p).
-2*(4*p + 1)**2
Let y(x) be the second derivative of -x**5/110 - 2*x**4/33 - 5*x**3/33 - 2*x**2/11 - 91*x. Let y(t) = 0. What is t?
-2, -1
Let p(h) = -h**3 + 3*h**2 - 6*h + 8. Let n be p(2). Let g(l) be the second derivative of 0*l**2 + n + 2*l + l**4 + 3/20*l**5 + 2*l**3. Solve g(r) = 0.
-2, 0
Let k = 339 - 334. Let s(q) be the second derivative of 1/6*q**3 + 1/30*q**6 - 1/12*q**4 - 6*q + 0*q**2 + 0 - 1/20*q**k. Solve s(u) = 0.
-1, 0, 1
Let j = 17 + -14. Let z be (j - -1)*1972/16. Factor 2*h**2 + 0*h - z*h**3 - h + 496*h**3.
h*(h + 1)*(3*h - 1)
Let h(z) be the first derivative of -z**4/11 - 14*z**3/33 - 3*z**2/11 - 181. Factor h(n).
-2*n*(n + 3)*(2*n + 1)/11
Let f = 5 + -5. Suppose f*z + 3*z = 9. Solve -7*w + 3*w**z + 13*w + 2*w**3 - 11*w = 0.
-1, 0, 1
Let r(y) = -10*y**2 - 980*y - 24024. Let f(h) = 2*h**2 + 196*h + 4805. Let w(u) = 28*f(u) + 6*r(u). Factor w(c).
-4*(c + 49)**2
Let d(r) = 39*r**4 - 207*r**3 + 222*r**2 - 54*r - 27. Let f(o) = 3*o**4 - 16*o**3 + 17*o**2 - 4*o - 2. Let z(c) = 2*d(c) - 27*f(c). Factor z(s).
-3*s**2*(s - 5)*(s - 1)
Let s = 100 + -97. Let w be (-4)/3*(-3)/s. Factor -4/3*m + w + 2/3*m**3 + 1/3*m**4 - m**2.
(m - 1)**2*(m + 2)**2/3
Let x(c) be the third derivative of -c**6/72 + c**5 - 30*c**4 - 5*c**3/2 + 3*c**2 - 2*c. Let u(o) be the first derivative of x(o). Determine t so that u(t) = 0.
12
Let r(n) be the third derivative of n**5/60 - 37*n**4/2 + 8214*n**3 + 4*n**2 - 5. Find q, given that r(q) = 0.
222
Let y(a) be the third derivative of -a**6/900 + 11*a**5/450 - 13*a**4/60 + a**3 - 176*a**2. Find w, given that y(w) = 0.
3, 5
Let j be ((-1)/6 - (-286)/88) + -5 + 2. Factor -1/12*c + 1/6*c**2 + j*c**5 + 0*c**3 - 1/6*c**4 + 0.
c*(c - 1)**3*(c + 1)/12
Suppose -4*q = -10 + 2. Let h(r) be the first derivative of -23*r**3 - 6*r**q + 19*r**3 + 0*r + 3 - 3*r. Suppose h(i) = 0. Calculate i.
-1/2
Suppose 5*o - 71 = -56. Let f(x) be the first derivative of -3*x + 18/5*x**5 + 15*x**o + 9/2*x**2 + 51/4*x**4 + 5. Factor f(v).
3*(v + 1)**3*(6*v - 1)
What is a in 15/2*a + 0 - 129/4*a**2 - 27/4*a**3 = 0?
-5, 0, 2/9
Determine a so that 16 + 6*a**2 - 15*a + 9 - 19 = 0.
1/2, 2
Let x(v) = -v + 68. Let y(r) = -r + 136. Let u(s) = 5*x(s) - 2*y(s). Let b be u(22). Factor -1 + 3/2*h - 1/2*h**b.
-(h - 2)*(h - 1)/2
Let r be (-3)/(-2) + 1/2. Suppose -55*z + 263 = 98. Suppose 3/4*j**z + 0*j + 0 - 3/4*j**r = 0. What is j?
0, 1
Let d(t) = -7*t**4 - 10*t**3 - t**2 + 10*t + 4. Let p(y) = -8*y**4 - 11*y**3 - 2*y**2 + 11*y + 5. Let a(h) = 5*d(h) - 4*p(h). Factor a(i).
-3*i*(i - 1)*(i + 1)*(i + 2)
Let n(t) = 2*t**3 + 24*t**2 + 25*t + 37. Let c be n(-11). Solve 0 - 9/7*h**2 - 3/7*h**5 + 9/7*h**c + 3/7*h**3 + 0*h = 0.
-1, 0, 1, 3
Let b(x) be the third derivative of -x**7/840 - 11*x**6/480 - 11*x**5/80 - 5*x**4/96 + 25*x**3/12 + 48*x**2. Solve b(a) = 0 for a.
-5, -2, 1
Let f(y) be the third derivative of y**8/112 + y**7/35 - 3*y**6/40 - y**5/5 + y**4/2 + 6*y**2 + 1. Solve f(h) = 0 for h.
-2, 0, 1
Suppose -4*x = 4 - 12, -42 = -2*b - 4*x. Suppose -b*q = -15*q. What is p in q + 0*p + 0*p**2 + 1/4*p**3 = 0?
0
Suppose -4*n + 2*c = -7*n + 8, -3*c = -5*n + 7. Let a(s) be the first derivative of 0*s**n + 0*s + 1/2*s**4 + 2/3*s**3 + 3. Factor a(x).
2*x**2*(x + 1)
Let h be 24/9*(-45)/10. Let y be 1/(4/((-128)/h)). Factor -10/3*b**3 + 4/3*b**2 + 0 - 2/3*b**5 + 0*b + y*b**4.
-2*b**2*(b - 2)*(b - 1)**2/3
Let v(f) be the third derivative of 0 + 1/102*f**4 + 0*f - 8*f**2 - 23/1785*f**7 + 0*f**3 + 9/340*f**6 - 13/510*f**5 + 1/408*f**8. Solve v(a) = 0.
0, 2/7, 1
Let -39*s**4 + 139*s**5 + 55*s**3 + 20 + 21*s - 54*s**2 - 130*s**5 + 11*s**3 - 23 = 0. What is s?
1/3, 1
Let t = 11837 - 82843/7. Solve -2/7*c**5 - 50/7*c**3 - 8*c + t*c**4 + 16/7 + 76/7*c**2 = 0.
1, 2
Let z(o) be the second derivative of -o**5/160 - 37*o**4/32 - 63*o**3 + 196*o**2 + 102*o. Suppose z(m) = 0. Calculate m.
-56, 1
Let d(a) be the first derivative of 1/10*a**6 + 2/5*a**3 - 14 - 9/10*a**2 + 3/5*a + 3/10*a**4 - 9/25*a**5. Factor d(w).
3*(w - 1)**4*(w + 1)/5
Let x = -48 + 51. Let o be x/5*(-180)/(-72). Find l such that -o*l**2 + 0 - 3*l = 0.
-2, 0
Let s be (((-80)/56)/10)/(3/(-63)). Factor -3/4*w**2 + 3/4*w + 3/4*w**4 - 3/4*w**s + 0.
3*w*(w - 1)**2*(w + 1)/4
Let q be (15 + -5)/5 - 4/(-2). Let u(h) be the first derivative of 9/8*h**4 + 0*h**2 + 0*h + 1/4*h**3 + 6/5*h**5 + q. Suppose u(d) = 0. What is d?
-1/2, -1/4, 0
Suppose -4*g - 30 - 90 = 0. Let s be 0 - -2 - (-48)/g. Factor -s*r + 2/5*r**2 + 0.
2*r*(r - 1)/5
Let c be -3*(1045/150 - 7). Let l(f) be the second derivative of 0*f**2 - 1/20*f**4 + c*f**3 + 0 + f. Let l(p) = 0. What is p?
0, 1
Let t(n) be the second derivative of -n**5/100 - 13*n**4/60 - 7*n**3/6 + 49*n**2/10 - 848*n. Solve t(c) = 0 for c.
-7, 1
Let y(x) be the second derivative of -16*x - 1/36*x**4 + 2/9*x**3 - 1/2*x**2 + 0. Solve y(i) = 0 for i.
1, 3
Let c = 1114/10815 + -4/515. Let f(a) be the first derivative of -4/7*a + 1/7*a**2 + c*a**3 - 3. Suppose f(t) = 0. What is t?
-2, 1
Let o(a) be the third derivative of 11/420*a**5 + 0 + 0*a + 25/42*a**3 - 5/24*a**4 + 19*a**2 - 1/840*a**6. Determine f, given that o(f) = 0.
1, 5
Let c(y) = -29*y - 3. Let i be c(-1). Factor 10 - i - 4*j**2 - 20 + 40*j.
-4*(j - 9)*(j - 1)
Let f(q) be the first derivative of 22*q**3/27 - 64*q**2/9 - 8*q/3 - 564. Factor f(r).
2*(r - 6)*(11*r + 2)/9
Let k(j) be the second derivative of j**8/6720 - j**7/420 + j**6/60 - j**5/15 + 13*j**4/12 + 17*j. Let t(s) be the third derivative of k(s). Factor t(f).
(f - 2)**3
Let q(f) be the third derivative of f**5/90 + 91*f**4/18 + 8281*f**3/9 + 4*f**2 - 115. Factor q(c).
2*(c + 91)**2/3
Let c = -8855/8 + 1107. Let l(a) be the second derivative of -1/4*a**2 - c*a**4 + 1/4*a**3 + 1/40*a**5 - 5*a + 0. What is n in l(n) = 0?
1
Let h be (-24)/(-27)*(-1)/(-4). Let l be (-30)/(-50) + (-76)/(-494) + (-622)/1170. Solve 0 - l*f - 2/9*f**2 + h*f**3 + 2/9*f**4 = 0.
-1, 0, 1
Let m(o) = -o**3 + 6*o**2 - o + 2. Let p be m(0). Let a(q) be the second derivative of 0 + 3/20*q**5 - 9*q + 0*q**p + 3/4*q**4 + q**3. Factor a(d).
3*d*(d + 1)*(d + 2)
Let r(b) be the second derivative of -1/18*b**3 + 1/72*b**4 + 1/12*b**2 - 12*b + 0. Solve r(y) = 0.
1
Let o(g) be the third derivative of -g**5/60 - g**4/8 + 5*g**3/3 - 80*g**2. Suppose o(q) = 0. Calculate q.
-5, 2
Let i(b) = 5*b**3 + 37*b**2 + 75*b + 45. Let w(r) = 5*r**3 + 38*r**2 + 75*r + 45. Let z(v) = 3*i(v) - 2*w(v). Factor z(k).
5*(k + 1)*(k + 3)**2
Let i(p) = -p**3 - 3*p**2 - 2*p + 2. Let c be i(-2). Let g = 127 + -121. Factor -6 - b**2 + g*b - 2*b**c + 0 + 3.
-3*(b - 1)**2
Factor 14/5*q - 12/5 - 2/5*q**2.
-2*(q - 6)*(q - 1)/5
Let j be ((-75)/700)/(-1)*4/3. Find y such that -j*y**2 + 0 + 0*y = 0.
0
Let j(r) be the third derivative of -2*r**7/35 + r**6/3 - 3*r**5/5 + r**4/3 + 2*r**2 - 20*r. Determine b, given that j(b) = 0.
0, 1/3, 1, 2
Let r = -441 + 1349. Suppose 0 = 3*z - 4*n - r, 9 = -3*n + 3. Factor -625/2*f**4 - z*f**2 + 500*f**3 + 80*f - 8.
-(5*f - 2)**4/2
Let m(o) be the first derivative of -12*o**5/5 - 3*o**4/4 + 12*o**3 + 33*o**2/2 + 6*o + 248. Suppose m(l) = 0. Calculate l.
-1, -1/4, 2
Let p = 109 + -14. Factor -15*f**4 + 197*f**3 + 5*f**5 + 1080 - 1620*f + 168*f**3 + 90*f**2 + p*f**4.
5*(f - 1)**2*(f + 6)**3
Suppose -21 + 35 = 7*h. Factor -p - 4/5*p**h - 1/5.
-(p + 1)*(4*p + 1)/5
Let h(z) = 2*z**2 + 80*z - 57. Let d(f) = 4*f**2 + 120*f - 84. Let x(w) = -5*d(w) + 8*h(w). Factor x(b).
-4*(b - 9)*(b - 1)
Suppose -2*z + p = 4*p + 3, 2*z = 3*p + 15. Let b be (32/20)/((12/10)/z). Let -3/7*a**5 - 5/7*a**b - 2/7*a**3 + 0*a**2 + 0 + 0*a = 0. Calculate a.
-1, -2/3, 0
Let i(l) = -l**3 - 2*l**2 - 1. Let q(n) = -100*n**4 - 1514*n**3 - 4104*n**2 - 3384*n - 858. Let x(o) = -6*i(o) - q(o). Determine f so that x(f) = 0.
-12, -2, -3/5
Find a, given that 35*a**3 - 37*a**3 - 68 + 132*a - 2*a**3 - 60*a**2 = 0.
-17,