ird derivative of d(n). Factor c(y).
-(y - 3)*(y - 1)/9
Let r(w) be the first derivative of 5*w**6/2 - w**5/2 - 5*w**4/12 - 5*w + 18. Let n(p) be the first derivative of r(p). Determine s, given that n(s) = 0.
-1/5, 0, 1/3
Factor -928*h - 311907 - 5*h**2 + 3788*h + 1349 + 44898 - 143320.
-5*(h - 286)**2
Let j = -103 + 99. Let a be (1*(-12)/j)/4. Factor -3/2*s + 3/4 + a*s**2.
3*(s - 1)**2/4
Suppose 3*s = 6 + 12. Suppose 0 = -5*r + 4*b - s, -3*r + 32 = 5*b + 6. Factor 0 + 1/5*y**r + 0*y.
y**2/5
Let q(n) be the third derivative of n**5/360 - 8*n**4/9 + 1024*n**3/9 + 325*n**2. Suppose q(c) = 0. Calculate c.
64
Let a(u) = 3*u**2 + 32*u - 3. Let y be a(-15). Let i = y - 189. Factor 2/3 - 2/3*d + 2/3*d**i - 2/3*d**2.
2*(d - 1)**2*(d + 1)/3
Suppose 3*b = -3*r + 15, 2*b = 3*r - 10 - 5. Suppose 5*i - c + 6 - 17 = 0, 2*i + r*c = -1. Factor 0 + 0*o**2 + 0*o - 2*o**3 - 1/2*o**5 - i*o**4.
-o**3*(o + 2)**2/2
Factor 3*u - 83*u - 1383*u**2 + 5*u**3 + 1413*u**2.
5*u*(u - 2)*(u + 8)
Factor 24/5*k + 36/5*k**4 + 96/5*k**2 + 104/5*k**3 - 4/5.
4*(k + 1)**3*(9*k - 1)/5
Let -37*o**4 - 26*o**3 - 23*o**3 - 4*o**5 + 23*o**4 + 3*o**5 = 0. Calculate o.
-7, 0
Let t = -184 - -166. Let p be (-3 - (-8 - 0))/((-15)/t). Find o such that 10/3*o - p*o**5 - 32/3*o**4 - 4/3 + 8/3*o**3 + 12*o**2 = 0.
-1, 2/9, 1
Let h = -170 + 184. Suppose 23*y = h*y. Suppose 4/3*t + 4/3*t**2 + y = 0. Calculate t.
-1, 0
Let m(a) = -60*a**3 - a**2 - a + 2. Let i be m(-2). Let w be i/825 + 4/10*-1. Determine c, given that 8/11*c + 6/11*c**4 - 4/11*c**2 - 8/11*c**3 - w = 0.
-1, 1/3, 1
Let s(j) = j**3 + j**2 - 4*j - 2. Let a be s(2). Solve 2/5*k**4 + 6/5*k**3 - 4/5*k + 0 - 2/5*k**a - 2/5*k**5 = 0 for k.
-1, 0, 1, 2
Let d be (-33)/(1*15/10). Let a(y) = y**4 - y**2 - y. Let i(n) = 8*n**4 - n**3 - 9*n**2 - 11*n. Let r(c) = d*a(c) + 2*i(c). Factor r(o).
-2*o**2*(o + 1)*(3*o - 2)
Let a(q) = -15*q**2 - 11*q - 8. Let r(b) = -6*b**2 - b - 1. Let o(v) = -a(v) + 2*r(v). Determine m, given that o(m) = 0.
-2, -1
Let i = 103 + -95. Solve -15*m**3 - 11*m**4 + i*m**2 + 3*m**4 + 16*m - 43*m**5 + 42*m**5 = 0.
-4, -1, 0, 1
Let q = -80 - -72. Let x be 6/q - (-207)/180. Let x*b**3 - 2/5*b - 2/5*b**4 + 0 + 2/5*b**2 = 0. What is b?
-1, 0, 1
Suppose -34/7*i - 1/7*i**2 - 289/7 = 0. Calculate i.
-17
Let r be (-8 + 6)*(9/(-6) - 0). Suppose 4*a - 5*a = -3*m + 578, -3*a + 3 = 0. Factor -189*y - 4*y**3 + 0*y**r + m*y.
-4*y*(y - 1)*(y + 1)
Let r = 74303/353980 + 6/1609. Let l = r + 2/55. Factor 0*m - l*m**2 + 1/4.
-(m - 1)*(m + 1)/4
Let n(i) be the third derivative of -2*i**7/35 + 47*i**6/30 - 29*i**5/15 - 5*i**4/2 - i**2 + 3. Suppose n(z) = 0. What is z?
-1/3, 0, 1, 15
Suppose -7*q + 9*q = 12. Let y be (-1)/6 + 5*5/q. Let -1/5 + 16/5*b**5 + 1/5*b + 17/5*b**2 - 16/5*b**y - 17/5*b**3 = 0. Calculate b.
-1, -1/4, 1/4, 1
Suppose 0 = o - 7*o + 2*o. Let i(u) be the second derivative of 1/6*u**3 + 3/40*u**5 + o*u**2 + 0 - 10*u + 5/24*u**4 - 1/84*u**7 - 1/60*u**6. Factor i(m).
-m*(m - 2)*(m + 1)**3/2
Determine b, given that 22/3*b**2 + 2/3*b**3 + 0 + 56/3*b = 0.
-7, -4, 0
Let x = 202 - 195. Let c(u) be the second derivative of -u**5 - u + 0 - u**2 - 5/3*u**3 - 5/3*u**4 - 1/21*u**x - 1/3*u**6. Factor c(k).
-2*(k + 1)**5
Let x(g) be the third derivative of -g**7/70 + 39*g**6/40 - 507*g**5/20 + 2197*g**4/8 + 395*g**2. Factor x(f).
-3*f*(f - 13)**3
Let k(i) be the first derivative of i**8/784 - 3*i**6/140 + 2*i**5/35 - 3*i**4/56 + i**2/2 + 24. Let v(y) be the second derivative of k(y). Solve v(b) = 0.
-3, 0, 1
Find g such that -18/13*g**5 + 64/13*g**3 + 0 - 12*g**4 + 18/13*g + 92/13*g**2 = 0.
-9, -1/3, 0, 1
Suppose 2*u = 5*x + 2 - 42, 5*u + 1 = -4*x. Suppose 6 + x = 6*k. Factor 0 + 3/7*o**3 + 9/7*o**k + 6/7*o.
3*o*(o + 1)*(o + 2)/7
Let j = 1824 - 1824. Suppose j + 3/2*r**2 + 0*r = 0. What is r?
0
Let d(i) be the third derivative of 2*i**7/105 + 7*i**6/10 - i**5/15 - 7*i**4/2 - i**2 - 257. Factor d(x).
4*x*(x - 1)*(x + 1)*(x + 21)
Let x(i) be the second derivative of 7*i**6/20 + 27*i**5/40 - 27*i**4/4 - 25*i**3 - 18*i**2 + 531*i. Find l, given that x(l) = 0.
-2, -2/7, 3
Let q = 33 + -30. Let o be 22/(-10) + -7 + 10. Factor o*j**q - 4/5*j**2 - 4/5*j + 4/5.
4*(j - 1)**2*(j + 1)/5
Suppose -4*d - 3*h + 16 = 0, -4*d + 4*h = h - 16. Factor -o**3 - o**5 + 35*o**d - 35*o**4 + 2*o**3.
-o**3*(o - 1)*(o + 1)
Let a(l) = -l**3 + l**2 + l. Let w(k) be the third derivative of -k**6/120 - k**5/60 + 5*k**4/24 - k**3/6 + 13*k**2. Let z(j) = -2*a(j) + w(j). Factor z(b).
(b - 1)**3
Suppose -5 = -7*u + 23. Let q(r) be the second derivative of 0*r**2 + 1/30*r**6 + 1/20*r**5 - 1/12*r**4 + 0 - 1/6*r**3 + u*r. Determine b, given that q(b) = 0.
-1, 0, 1
Let b = 44 + -30. Let h(t) be the second derivative of t**4/12 + t**3/6 - 279*t. Let v(q) = -8*q**2 - 5*q - 1. Let g(l) = b*h(l) + 2*v(l). Factor g(z).
-2*(z - 1)**2
Find p, given that 11/4*p**3 - p**4 - 5/4*p**2 + 0 - 1/2*p = 0.
-1/4, 0, 1, 2
Let m(h) be the third derivative of -h**6/2340 + h**4/156 - 5*h**3/3 - 7*h**2. Let g(d) be the first derivative of m(d). Factor g(l).
-2*(l - 1)*(l + 1)/13
Factor 57/5*y + 3/5*y**2 + 0.
3*y*(y + 19)/5
Let w be (-85)/(-50) - 3/6. Let c = -27 + 29. Factor -3/5*n**c - w*n**3 + 3/5*n**4 + 0 + 6/5*n.
3*n*(n - 2)*(n - 1)*(n + 1)/5
Let d(y) be the third derivative of -y**8/273 - y**7/91 + y**6/30 + 29*y**5/390 - 3*y**4/13 + 4*y**3/39 + 20*y**2 + 1. Suppose d(v) = 0. What is v?
-2, 1/8, 1
Let d be ((-16)/48 + (-8)/30)/((-1)/5). Factor 76/5*g**d - 132/5*g**2 - 12/5*g**4 + 36/5*g + 0.
-4*g*(g - 3)**2*(3*g - 1)/5
Let i(l) be the first derivative of l**7/140 + l**6/60 - l**5/120 - l**4/24 + 11*l**2/2 - 9. Let o(m) be the second derivative of i(m). Factor o(w).
w*(w + 1)**2*(3*w - 2)/2
Factor 125/2 + 5/4*s**3 + 225/4*s + 15*s**2.
5*(s + 2)*(s + 5)**2/4
Let o(r) be the third derivative of r**5/15 - r**4/6 + 116*r**2. Factor o(g).
4*g*(g - 1)
Suppose 0 = -b - 2*g, 6 = 2*b + 3*b + 4*g. Let u be 2/12*b*135/60. Factor 0 - u*c - 3/8*c**2.
-3*c*(c + 2)/8
Let q(s) be the first derivative of 2*s**5/15 - s**4 - 14*s**3/9 + 113. Solve q(k) = 0.
-1, 0, 7
Let f be (-272)/(-12) + (-20)/(-15). Suppose 2*p + f = 3*o + 3*p, p = 0. Determine t, given that -1 - 3*t**2 + 5 - 2 - o - 9*t = 0.
-2, -1
Let l(r) be the third derivative of r**5/180 + 22*r**4/9 + 3872*r**3/9 - 4*r**2 + 2. Factor l(d).
(d + 88)**2/3
Let q be (612/187)/(-18) - 19782/(-385). Factor -32/5*n - q - 1/5*n**2.
-(n + 16)**2/5
Let 13*z - 5*z**3 + 0*z**3 + 8 - 9*z - 4*z**3 - 3*z**3 - 16*z**2 = 0. What is z?
-1, 2/3
Let p(x) be the third derivative of x**5/90 - 19*x**4/12 + 56*x**3/9 + x**2 - 124*x. Factor p(u).
2*(u - 56)*(u - 1)/3
Factor 3*n**3 + 30*n - 2*n**3 + n**3 + 25*n**2 + 3*n**3.
5*n*(n + 2)*(n + 3)
Determine l so that -70*l - 5*l**2 - 33 - 14 + 0 - 18 = 0.
-13, -1
Let l be (-60)/24*(-12)/5. Let o be l/(-2) + (8 - 0). Factor -v**2 - 6*v + v**2 + o + v**2 + 4.
(v - 3)**2
Let c be 0 - (651/5614)/(12/(-698)). Let p = 2/401 + c. Let 0 + 21/4*t**2 + 3/2*t + 3/4*t**5 + p*t**3 + 15/4*t**4 = 0. Calculate t.
-2, -1, 0
Let a(b) be the first derivative of -42 + 40*b + 4/3*b**3 - 22*b**2. Factor a(h).
4*(h - 10)*(h - 1)
Let g(i) be the second derivative of 63*i**6/40 + 51*i**5/10 + 13*i**4/2 + 4*i**3 + 3*i**2 - 10*i. Let h(z) be the first derivative of g(z). Factor h(v).
3*(3*v + 2)**2*(7*v + 2)
Factor -4 - 8/3*w + 4/3*w**2.
4*(w - 3)*(w + 1)/3
Let k = -1052 + 1054. Let h(p) be the first derivative of 5/4*p**4 + 0*p**k - p**5 - 5/6*p**6 + 5/3*p**3 + 0*p + 14. Factor h(n).
-5*n**2*(n - 1)*(n + 1)**2
Let w(o) be the third derivative of 0 + 5/48*o**4 + 1/120*o**5 + 0*o + 1/6*o**3 - 16*o**2 - 1/120*o**6. Find k such that w(k) = 0.
-1, -1/2, 2
Factor -12/7*z - 13/7*z**2 - 1/7*z**4 - 4/7 - 6/7*z**3.
-(z + 1)**2*(z + 2)**2/7
Let g(b) be the first derivative of 0*b**2 + 0*b**5 + 0*b + 14 + 5/4*b**4 + 0*b**3 - 5/6*b**6. Suppose g(h) = 0. What is h?
-1, 0, 1
Let r = 3573 + -3569. Factor 2 - 2/3*k**4 - r*k**3 + 10/3*k + 2/3*k**5 - 4/3*k**2.
2*(k - 3)*(k - 1)*(k + 1)**3/3
Let m(i) be the second derivative of 0 + 0*i**3 + 8*i + 1/20*i**5 + 0*i**2 - 1/12*i**4. Find x such that m(x) = 0.
0, 1
Let z(o) be the first derivative of -7*o**6/1200 - o**5/300 + 7*o**4/240 + o**3/30 + o**2/2 + 14. Let y(t) be the second derivative of z(t). Factor y(b).
-(b - 1)*(b + 1)*(7*b