ivative of z(m). Factor l(a).
2*a*(a - 2)*(a - 1)/5
Factor -147*g + 97*g**2 - 66*g**3 + 39*g**4 - 3*g**4 - 3*g**5 - 349*g**2.
-3*g*(g - 7)**2*(g + 1)**2
Determine j so that -76/7*j - 1444/7 - 1/7*j**2 = 0.
-38
Suppose -2*b = -5*j - 0*j + 6, -2 = -2*j + b. Factor -7*a**2 + 11*a**2 - j*a**2 - 6*a + 4.
2*(a - 2)*(a - 1)
Suppose w + 5*l - 3*l = 2, 2*w + l - 7 = 0. Let m(t) be the first derivative of 2/45*t**5 + 0*t**w - 4/27*t**3 + 0*t**2 + 2/9*t + 2. Factor m(r).
2*(r - 1)**2*(r + 1)**2/9
Suppose -2*f + 12 = 2*f, 0 = 5*z - 2*f + 91. Let l be (0 - 4)/(z - (4 - 7)). Solve -m - l - 3/7*m**2 = 0.
-2, -1/3
Let n(d) be the first derivative of -d**9/9072 + d**8/2520 + d**7/840 - d**6/270 - d**5/90 + 3*d**3 - 5. Let s(g) be the third derivative of n(g). Factor s(i).
-i*(i - 2)**2*(i + 1)**2/3
Determine w, given that -6*w**4 - 9*w**2 - 6*w + 5*w**4 + w**5 + 22*w**2 - 7*w**3 = 0.
-3, 0, 1, 2
Let k = -23/4 - -119/20. Let f = 1175 + -5873/5. Factor -k*v**2 - 1/5*v + f.
-(v - 1)*(v + 2)/5
Let s(m) be the third derivative of -m**6/240 - m**5/80 - m**4/64 + 13*m**3/6 - 9*m**2. Let o(r) be the first derivative of s(r). Suppose o(g) = 0. What is g?
-1/2
Let u(k) = 15*k - 102. Let i be u(7). Let t(c) be the third derivative of -1/240*c**5 + 0*c - 1/12*c**4 + 0 - i*c**2 - 2/3*c**3. Suppose t(h) = 0. Calculate h.
-4
Let u be (-2964)/468*(-12)/38. Factor -6/19 - 10/19*f**u + 16/19*f.
-2*(f - 1)*(5*f - 3)/19
Suppose -27/2*q**4 + 0*q + 1/2*q**3 + 0 + 0*q**2 = 0. Calculate q.
0, 1/27
Suppose -39*w = -34*w + 90. Let k be -2 + (-20)/(-8) - w/12. Solve 0*m**3 + 0*m + 0*m**k - 2/5*m**5 + 0 + 2/5*m**4 = 0 for m.
0, 1
Let m(p) be the third derivative of p**5/240 - p**4/48 - 5*p**3/8 - p**2 - 61. Determine c so that m(c) = 0.
-3, 5
Let k = 917 + -915. Let w(q) be the third derivative of 0*q**3 + 1/280*q**7 + 0*q + 5*q**k + 0 - 1/160*q**6 + 0*q**4 + 1/240*q**5 - 1/1344*q**8. Factor w(u).
-u**2*(u - 1)**3/4
Let n = 2271 + -2271. Suppose 0 + 6/5*c**4 - 2/5*c**5 + 2/5*c**2 - 6/5*c**3 + n*c = 0. What is c?
0, 1
Let -52*s**4 - 43*s**3 - 2*s**2 + 482*s**2 - 380*s + 28*s**3 + 2*s**4 + 80 - 40*s**3 = 0. What is s?
-4, 2/5, 1/2, 2
Let n(c) be the third derivative of -1/24*c**5 + 0*c - 24*c**2 + 0*c**3 + 0*c**4 - 1/84*c**7 - 1/24*c**6 + 0. Find b such that n(b) = 0.
-1, 0
Suppose 0 = 3*u - 8 - 22. Suppose -u*o = -0*o. Suppose 8/7*i**2 - 2/7*i**3 + 2/7*i - 8/7*i**4 + o = 0. Calculate i.
-1, -1/4, 0, 1
Let o(m) be the first derivative of -m**6/11 + 144*m**5/55 - 345*m**4/11 + 200*m**3 - 7875*m**2/11 + 15000*m/11 - 419. Factor o(s).
-6*(s - 5)**4*(s - 4)/11
Let q = 2747/6060 + -1/303. Let p(x) be the second derivative of 0 + 6*x**2 - q*x**5 + 2*x - 5/4*x**4 + 2*x**3. Solve p(m) = 0 for m.
-2, -2/3, 1
Let h(j) be the third derivative of -j**6/120 + 13*j**5/60 + 8*j**4/3 + 34*j**3/3 - 2*j**2 - 35. Factor h(l).
-(l - 17)*(l + 2)**2
Let m = 144 + -142. Let l be 6 + m*25/(-15). Factor -8/3*d**2 + 4/3*d**3 + l - 4/3*d.
4*(d - 2)*(d - 1)*(d + 1)/3
Find t, given that 24/5*t**2 + 0 - 384/5*t - 6/5*t**4 + 96/5*t**3 = 0.
-2, 0, 2, 16
Let n = -3196 - -294061/92. Let a = n + -3/46. Determine u so that -1/2*u**3 + 0*u + 0 + 0*u**2 + a*u**4 = 0.
0, 2
Determine o so that -4/7*o**2 + 0 + 80/7*o - 4/7*o**3 = 0.
-5, 0, 4
What is q in -4 + 24*q + 14*q**2 + 22*q - 78*q + 22*q = 0?
-2/7, 1
Let z = 2419/1848 - 43/33. Let l(b) be the third derivative of -1/240*b**6 + 0*b**5 + 0*b + 0*b**3 + z*b**7 + 1/192*b**8 + b**2 + 0*b**4 + 0. Factor l(p).
p**3*(p + 1)*(7*p - 2)/4
Let m(w) = 22 + w - 22. Let t = -3 - 3. Let d(j) = 6*j**3 + 20*j**2 + 12*j + 4. Let l(u) = t*m(u) - d(u). Find a, given that l(a) = 0.
-2, -1, -1/3
Let y be (14/(-10) - -2) + 885/(-1475). Factor 0*q**2 + 0 - 2/11*q**5 + 2/11*q**3 + y*q + 0*q**4.
-2*q**3*(q - 1)*(q + 1)/11
Let r = -7/727 - -741/1454. Determine z, given that 1/2 + r*z**2 + z = 0.
-1
Let g = 45 - 49. Let d be (g/16 - 93/(-324))*6. Determine h so that d*h**2 - 4/9 + 2/9*h = 0.
-2, 1
Suppose -5*t = -7*p + 10*p - 24, 4*p - 4*t = 0. Factor 3/5*z**2 - 3/5*z - 1/5*z**p + 1/5.
-(z - 1)**3/5
Let x(u) = 7*u**3 + 27*u**2 + 53*u. Let f(a) = -24*a**3 - 82*a**2 - 158*a. Let t(b) = 6*f(b) + 20*x(b). Factor t(v).
-4*v*(v - 14)*(v + 2)
Find b such that -12*b + 144 - 3/4*b**3 - 39/4*b**2 = 0.
-8, 3
Suppose p + 0*p = 5. Let z = -25/2 - -59/4. Solve -3/2 + 0*l**4 + 3*l**3 - z*l - 3/4*l**p + 3/2*l**2 = 0 for l.
-1, 1, 2
Let q = -4357/1848 - -26/11. Let d(j) be the second derivative of q*j**7 + 1/24*j**3 - 1/40*j**5 + 3*j + 1/8*j**2 + 1/120*j**6 + 0 - 1/24*j**4. Factor d(o).
(o - 1)**2*(o + 1)**3/4
Let c(m) = -3*m**3 + 48*m**2 - 210*m + 9. Let l(s) = 2*s - 1. Let a(h) = c(h) + 9*l(h). Suppose a(t) = 0. What is t?
0, 8
Let t(m) be the first derivative of -m**5/180 - m**4/54 - m**3/54 - 25*m - 3. Let j(s) be the first derivative of t(s). Determine l so that j(l) = 0.
-1, 0
Let z(i) be the first derivative of -i**4/6 + i**3 - 26*i - 12. Let s(p) be the first derivative of z(p). Factor s(u).
-2*u*(u - 3)
Let r(d) = d**2 - 8*d + 9. Suppose 5*x = -0*x + 35. Let t be r(x). Factor -t*s**2 + 15*s + 15 - 3*s**2 - 5*s.
-5*(s - 3)*(s + 1)
Let w = 2/57 + 721/570. Let s = 1/30 + w. Let -s + 2*z + 0*z**2 - 2/3*z**3 = 0. What is z?
-2, 1
Let y(j) be the first derivative of 243/16*j**4 - 21 - 51/2*j**2 + 63/2*j**3 + 6*j. Determine r, given that y(r) = 0.
-2, 2/9
Let s(t) = 5*t**3 - 12*t**2 + 15*t - 5. Let r(c) = -c**3 + c - 1. Suppose 0 = -h - b + 6, -2*b = -2*h - 7 + 3. Let d(u) = h*s(u) + 6*r(u). Solve d(p) = 0.
1, 4
Let n(a) be the second derivative of a**6/70 + 3*a**5/70 + a**4/28 + 3*a + 8. Solve n(m) = 0.
-1, 0
Factor -12/5*o**3 - 12*o + 21/5 + 54/5*o**2 - 3/5*o**4.
-3*(o - 1)**3*(o + 7)/5
Let d(s) = -1 + 3*s**2 + 3*s**3 - s**2 - 2*s**3. Let b be d(1). Factor -k**2 + k**b - k**2 + 2*k + 3.
-(k - 3)*(k + 1)
Let f be 9 + 4 + 20/(-5). Suppose -f*n = -8*n + n. Find h such that -2/5 + n*h + 4/5*h**3 + 6/5*h**2 = 0.
-1, 1/2
Let l be (-6)/50*-4*((-120)/(-10) + -2). Factor -3/5*x**2 - l*x + 0.
-3*x*(x + 8)/5
Let n(l) = -l**4 + l**3 - l**2 - l + 2. Let y(i) = -i**5 + 17*i**4 - 67*i**3 + 139*i**2 - 104*i - 8. Let b(g) = -4*n(g) - y(g). Suppose b(x) = 0. Calculate x.
0, 3, 4
Let h(n) be the third derivative of 0 + 1/80*n**5 + 5*n**2 + 0*n**4 + 0*n - 1/2*n**3. Factor h(p).
3*(p - 2)*(p + 2)/4
Let t(d) be the second derivative of -d**6/432 + 5*d**4/144 - 25*d**3/6 + 12*d. Let y(z) be the second derivative of t(z). Factor y(v).
-5*(v - 1)*(v + 1)/6
Factor 76/7*d + 72/7*d**2 + 4/7.
4*(d + 1)*(18*d + 1)/7
Let g(p) = -20*p - 260. Let v be g(-13). Factor v*n - 3/5 + 3/5*n**2.
3*(n - 1)*(n + 1)/5
Let j = -218/297 - -64/27. Let x(q) be the first derivative of 2/11*q**4 - 12/11*q**2 + j*q - 4/33*q**3 + 2/55*q**5 - 9. Factor x(n).
2*(n - 1)**2*(n + 3)**2/11
Let a(d) = -19*d**3 - d**2 - 2*d - 2. Let q be a(-1). Factor -123*r**4 + q*r**5 + 5*r**3 - 8*r**5 + 138*r**4.
5*r**3*(r + 1)*(2*r + 1)
Let i(s) be the first derivative of -5*s**6/3 - 48*s**5/5 + 10*s**4 + 124*s**3/3 - 63*s**2 + 20*s + 59. Let i(y) = 0. Calculate y.
-5, -2, 1/5, 1
Let u(c) be the second derivative of 1/10*c**2 + 2*c - 1/15*c**3 + 0 + 1/60*c**4. Factor u(x).
(x - 1)**2/5
Let f(z) be the second derivative of 0 - 2/15*z**3 - 1/50*z**5 + 6*z + 0*z**2 + 1/10*z**4. Factor f(v).
-2*v*(v - 2)*(v - 1)/5
Suppose 12 = 4*r - 8. Suppose 5*j + 5 = 2*p - 0, -2 = -r*p + 2*j. Factor y**4 + 0*y**5 - 6*y**3 + 3*y**4 + 4*y**2 - y**5 + p*y**4 - y.
-y*(y - 1)**4
Let h(z) be the first derivative of -z**6/60 + z**5/15 + z**4/4 + 7*z**2/2 + 4. Let v(k) be the second derivative of h(k). Suppose v(g) = 0. Calculate g.
-1, 0, 3
Let p be 1 + -1 - (3985/800 + -5). Let k(d) be the third derivative of 0*d**4 - p*d**6 + 1/40*d**5 + 0 + 0*d**3 + 0*d - 6*d**2. Factor k(s).
-3*s**2*(3*s - 2)/4
Let z(m) be the first derivative of m**4/12 - 5*m**3/24 + m**2/8 - 41*m + 5. Let q(v) be the first derivative of z(v). Factor q(p).
(p - 1)*(4*p - 1)/4
Determine i so that 3025*i**3 + 4*i**5 - 1518*i**3 - 1511*i**3 = 0.
-1, 0, 1
Let p = 1323 + -1321. Let d(h) be the first derivative of -1/18*h**4 - 2/45*h**5 + 5/9*h**2 + 4/9*h + 2/9*h**3 + p. Solve d(l) = 0.
-1, 2
Let o be (-16)/(-19) - 6*5/(-285). Let 8/19*k**4 + 0 + 4/19*k - o*k**2 + 6/19*k**3 = 0. What is k?
-2, 0, 1/4, 1
Let q(m) = -m + 1. Let z(s) = -4*s**2