+ 2)
Let c(u) = 1310*u**2 - 85*u + 30. Let t(v) = 187*v**2 - 12*v + 4. Let p(h) = -2*c(h) + 15*t(h). Factor p(i).
5*i*(37*i - 2)
Let k(m) be the second derivative of m**9/360 + 3*m**8/896 + m**7/840 + 5*m**4/6 - 8*m. Let q(y) be the third derivative of k(y). Factor q(b).
3*b**2*(4*b + 1)*(7*b + 2)/2
Factor -6/5 - 12/5*s**2 + 2/5*s**4 - 16/5*s + 0*s**3.
2*(s - 3)*(s + 1)**3/5
Let x(y) = -10*y - 2. Let d be x(-1). Let i(n) = 2*n**2 + n - 2*n + d*n + 1. Let u(k) = 2*k**2 + 8*k + 2. Let v(a) = 6*i(a) - 5*u(a). Factor v(r).
2*(r - 1)*(r + 2)
Let b(w) be the second derivative of 11/100*w**5 - 1/25*w**6 + 0 - 14*w + 4/5*w**2 - 1/30*w**4 + 1/210*w**7 - 2/5*w**3. Factor b(h).
(h - 2)**3*(h - 1)*(h + 1)/5
Let p(r) be the second derivative of 2/21*r**3 + 1/42*r**4 + 1/7*r**2 + 0 + 9*r. Let p(f) = 0. Calculate f.
-1
Let h(n) = n**2 - n + 5. Let c(p) = 44*p**2 + 288*p + 104. Let l(i) = c(i) - 8*h(i). Let l(o) = 0. Calculate o.
-8, -2/9
Let h = -2/11 - -15/22. Let q(w) = w**2 + 70*w - 219. Let i be q(3). Factor i*o - 1/2 + h*o**2.
(o - 1)*(o + 1)/2
Let b(l) = -2*l**5 - 25*l**4 - 92*l**3 - 177*l**2 - 162*l - 54. Let o(r) = r**4 - r**2. Let f(y) = -b(y) - 3*o(y). Factor f(n).
2*(n + 1)**2*(n + 3)**3
Let q(o) be the second derivative of 0 + 3/160*o**5 - 3/32*o**4 - 3/16*o**2 + 25*o + 3/16*o**3. Solve q(p) = 0.
1
Suppose -4*p - 4*q + 16 = -6*p, 4*p - 2*q + 2 = 0. Let w(r) be the first derivative of -1/6*r**3 - p - 2*r - r**2. Solve w(z) = 0.
-2
Let z(h) be the second derivative of h**5/4 - 50*h**4/3 + 1000*h**3/3 + 48*h. Let z(k) = 0. What is k?
0, 20
Let -18*v**2 + 11*v**2 + 49*v - 36*v + 2 = 0. Calculate v.
-1/7, 2
Let t be (117/(-6))/(6/(-4)). Factor -46*d**3 - 50*d - 4 - 54*d**2 + 11*d - 14*d**4 + t*d.
-2*(d + 1)**3*(7*d + 2)
Let n(z) be the first derivative of z**6/72 - 5*z**5/24 + 5*z**4/6 + 2*z**3 - 22. Let g(a) be the third derivative of n(a). Factor g(y).
5*(y - 4)*(y - 1)
Let r(a) = -3*a**3 - a**2 - 3*a - 1. Let b be r(-1). Suppose -4*n - 5*z = 13, -b*z = n + 4*n + 5. Factor 0 + 3/4*d**4 + 15/4*d**2 - 3/2*d - 3*d**n.
3*d*(d - 2)*(d - 1)**2/4
Let m(c) be the first derivative of c**6/720 - 11*c**3/3 - 21. Let g(u) be the third derivative of m(u). Let g(i) = 0. Calculate i.
0
Let d(f) be the third derivative of -f**8/336 - f**7/70 - f**6/40 - f**5/60 - 104*f**2 + 2. Factor d(y).
-y**2*(y + 1)**3
Let i(j) be the second derivative of 3*j**5/20 + 13*j**4/2 + 96*j**3 + 432*j**2 + 91*j. Solve i(f) = 0 for f.
-12, -2
Let g(m) = m**3 + m**2 + m. Let i(o) = -4*o**3 - 30*o**2 + 138*o + 169. Let d(p) = 5*g(p) + i(p). Factor d(w).
(w - 13)**2*(w + 1)
Let u(l) = -l**3 - 13*l**2 + 14*l + 20. Let c be u(-14). Let m be 7/3 - c/(-30). Determine a, given that -6*a**3 - 3*a**5 + 8*a**m + 4*a**3 - 3*a = 0.
-1, 0, 1
Let q be 8/((-32)/(-6))*2. Let t(w) be the first derivative of 1/2*w**6 + 0*w**5 - 6 + 9/2*w**2 - 6*w + 2*w**q - 3*w**4. Let t(b) = 0. What is b?
-2, -1, 1
Let v(c) = c**3 + 3*c**2 - 4*c. Let q be v(-4). Suppose -21*f = -34*f + 65. Factor 2/7*n**4 - 2/7*n**f + 0 + q*n + 0*n**3 + 0*n**2.
-2*n**4*(n - 1)/7
Let y(q) = q**2 + 16*q + 3. Let s = 10 - 26. Let p be y(s). Find r, given that p - 3 + 4*r**2 - r**2 - 3 = 0.
-1, 1
Let p(a) = -60*a**2 - 30*a. Suppose -2*o + o = 2*f - 4, -8 = -4*f - 3*o. Let m(y) = -15*y**2 - 7*y. Let z(j) = f*p(j) - 9*m(j). Suppose z(s) = 0. What is s?
-1/5, 0
Let b(l) be the third derivative of l**6/660 - 2*l**5/33 - 43*l**4/132 - 2*l**3/3 - 37*l**2 + 2*l. Factor b(q).
2*(q - 22)*(q + 1)**2/11
Let m be (-1)/4 - (-2)/6*570/304. Solve 3/4 - 3/8*g**2 - m*g = 0.
-2, 1
Let h = 593 - 593. Solve 2/7*d**5 + 0 + h*d**3 - 4/7*d**2 + 4/7*d**4 - 2/7*d = 0 for d.
-1, 0, 1
Suppose -8*d**3 - 2*d**4 + 20*d + 0*d**4 + 118*d**2 - 4*d**3 - 124*d**2 = 0. What is d?
-5, -2, 0, 1
Let s(w) be the first derivative of w**5/35 + 179*w**4/7 + 64082*w**3/7 + 11470678*w**2/7 + 1026625681*w/7 + 5. Factor s(a).
(a + 179)**4/7
Let i(q) be the third derivative of 1/120*q**6 + 0*q**3 - 27*q**2 + 0*q - 1/12*q**4 + 0 - 1/60*q**5. Factor i(m).
m*(m - 2)*(m + 1)
Let l(t) be the first derivative of t**9/4536 + t**8/420 + t**7/140 + 20*t**3/3 + 3. Let j(i) be the third derivative of l(i). Suppose j(d) = 0. Calculate d.
-3, 0
Let w = -244 + 252. Let h(b) be the second derivative of -1/3*b**4 - 4*b + w*b**2 + 0 - 7/10*b**5 + 28/3*b**3. Let h(a) = 0. Calculate a.
-2, -2/7, 2
Let a(t) = 133*t**2 - 272*t - 8. Let g(s) = 401*s**2 - 817*s - 25. Let q(y) = 11*a(y) - 4*g(y). Factor q(d).
-3*(d - 2)*(47*d + 2)
Let n(z) = -10*z**4 - 98*z**3 - 188*z**2 - 42*z - 2. Let s(a) = -11*a**4 - 98*a**3 - 190*a**2 - 43*a - 3. Let v(i) = 3*n(i) - 2*s(i). Find y such that v(y) = 0.
-10, -2, -1/4, 0
Let d be 8 - ((-831)/(-66) - (-5 + 10)). Let p(y) be the second derivative of -27/110*y**5 - d*y**4 + 6*y + 0 - 3/11*y**3 - 1/11*y**2. Factor p(t).
-2*(3*t + 1)**3/11
Let b(u) = -36*u**3 + 4*u**2 + 24*u - 8. Let y(x) = -106*x**3 + 13*x**2 + 73*x - 24. Let p(d) = 11*b(d) - 4*y(d). Let p(q) = 0. Calculate q.
-1, 2/7, 1
Let -3*z**3 + 3 + 1 - 12*z - z**3 + 71*z**2 - 59*z**2 = 0. What is z?
1
Let b(x) be the third derivative of x**6/300 + x**5/100 - x**4/15 + x**3/10 - 23*x**2 - 13. Factor b(m).
(m - 1)*(m + 3)*(2*m - 1)/5
Let b(j) be the third derivative of 1/75*j**5 + 25*j**2 - 1/300*j**6 + 0*j**3 + 0 + 0*j + 0*j**4. Let b(x) = 0. Calculate x.
0, 2
Let z(k) be the second derivative of 5*k**4/36 - 5*k**3/9 + 5*k**2/6 - 70*k. Solve z(s) = 0 for s.
1
Factor 0*g**2 + 0 + 0*g + 4/5*g**3 - 7/5*g**4.
-g**3*(7*g - 4)/5
Let k(h) be the third derivative of h**6/480 - 3*h**5/80 + 5*h**4/32 - 7*h**3/24 + 68*h**2. Factor k(t).
(t - 7)*(t - 1)**2/4
Let y(a) be the third derivative of a**5/12 - 4*a**2. Let j(v) = 2*v**2. Suppose o - 18 = -3*u + 4*o, 3*u - 4*o = 17. Let k(l) = u*j(l) - 3*y(l). Factor k(c).
-c**2
Let z(r) be the third derivative of -6*r**7/245 - 16*r**6/21 - 312*r**5/35 - 288*r**4/7 + 288*r**3/7 + r**2 + 26*r. What is n in z(n) = 0?
-6, 2/9
Let w(k) = -17 - 2*k**3 - 12*k**2 + k**3 + 32 - k - 24. Let v be w(-12). What is g in 5/4*g**v - 1 - 17/4*g**2 + 4*g = 0?
2/5, 1, 2
Let d(k) = -12*k - 56. Let y(j) = j + 3. Let t(i) = -d(i) - 10*y(i). Let v be t(-12). Factor 1/3*o**v - 1/3 + 0*o.
(o - 1)*(o + 1)/3
Let x(b) = -b**2 - 14*b - 21. Let l be x(-13). Let g be l/(-10)*((-30)/6)/(-20). Factor 1/5 - 1/5*m - g*m**2 + 1/5*m**3.
(m - 1)**2*(m + 1)/5
Let i = -113 + 117. Let m + 20*m - 9*m**3 + 9*m**2 + m**4 - 18 - i*m**4 = 0. Calculate m.
-3, -2, 1
Let s(j) = -6*j**4 - 5*j**3 - 16*j**2 + 5*j. Let p(g) = 5*g**4 + 5*g**3 + 14*g**2 - 4*g. Let d(y) = 5*p(y) + 4*s(y). Factor d(k).
k**2*(k + 2)*(k + 3)
Let f be (-4)/(6/(-448)*-1*4). Let v = f + 75. Factor 0 + 2/3*y + 5/3*y**2 + 4/3*y**3 + v*y**4.
y*(y + 1)**2*(y + 2)/3
Suppose -7/2 + 15/2*q - 9/2*q**2 + 1/2*q**3 = 0. Calculate q.
1, 7
Let u(f) be the first derivative of -1/2*f**6 - 15*f**5 - 1250*f**3 - 9375*f - 9375/2*f**2 - 375/2*f**4 + 26. Solve u(a) = 0.
-5
Let h(t) = t**3 - 5*t**2 + 5*t - 3. Let d be h(4). Suppose -3*u - z + 10 = -d, 3*u - 19 = -5*z. Factor -7*a**3 + a**u - 5*a**2 + 8*a**2.
-3*a**2*(2*a - 1)
Let g = -26487 - -26487. Let 0 - 8/19*k**3 - 2/19*k**2 + g*k = 0. Calculate k.
-1/4, 0
Let p = -14305/49 + 292. Let m = p + 40/147. Factor 0*i - 1/3*i**5 - m*i**3 + 2/3*i**4 + 0*i**2 + 0.
-i**3*(i - 1)**2/3
Factor -1/3*j**4 + 41/3*j + 20/3 + 7*j**2 - 1/3*j**3.
-(j - 5)*(j + 1)**2*(j + 4)/3
Let b = -2189 - -2191. Factor 1/10*x**3 + 1/5 - 1/5*x**b - 1/10*x.
(x - 2)*(x - 1)*(x + 1)/10
Factor -6/7*m + 8/7 + 1/7*m**2.
(m - 4)*(m - 2)/7
Let d(l) be the second derivative of 0 - 5*l - 3/80*l**5 - 1/4*l**3 + 3/16*l**4 + 0*l**2. Factor d(o).
-3*o*(o - 2)*(o - 1)/4
Let i(p) = p**2 - 2*p - 32. Let r be i(7). Determine c so that -2*c**4 - 16*c**2 - 15*c - 10*c**r + c + 6*c = 0.
-2, -1, 0
Let f be (98/(-12))/(2/(-28)). Let i be 3 - ((-188)/6 + 9). Let 8/3 - 49/3*z**3 - f*z**4 + 70*z**2 - i*z = 0. Calculate z.
-1, 2/7
Let p(q) = -2*q - 16. Let j be p(-11). Let w = -3 + j. Factor w*h + 0*h - 2*h + h**2 - 2*h.
h*(h - 1)
Suppose -16 = -2*s - 0*s - 4*f, -2*s + 5*f = 2. Factor 6*u + s + 3*u - 3*u**3 + 2.
-3*(u - 2)*(u + 1)**2
Let f(p) = p + 13. Let i be f(-4). Let c = -7 + i. Determine q so that -4 - 10*q**2 - 2*q + 2*q**c + 5*q + 2*q**3 + 7*q = 0.
1, 2
Factor -3/5*q**3 + 33/5*q**2 - 9