) be the first derivative of i(y). Factor k(a).
2*(a - 1)*(4*a + 1)/5
Let l(i) be the third derivative of -5*i**8/672 - i**7/21 - i**6/16 - 163*i**2 - i. Factor l(w).
-5*w**3*(w + 1)*(w + 3)/2
What is l in -1/5*l + 0*l**4 + 0 - 1/5*l**5 + 2/5*l**3 + 0*l**2 = 0?
-1, 0, 1
Factor 124/13*c**3 - 3968/13*c + 2/13*c**4 + 2048/13 + 138*c**2.
2*(c - 1)**2*(c + 32)**2/13
Let p(z) be the second derivative of z**5/140 - z**4/12 - 17*z**3/42 - 9*z**2/14 - 29*z. Factor p(k).
(k - 9)*(k + 1)**2/7
Let y be (1 + -6)*1/5. Let r be -3 + (-39)/(-2 + y). Let i(v) = -1. Let a(b) = 8*b**2 + 8*b + 7. Let d(k) = r*i(k) + 2*a(k). Factor d(c).
4*(2*c + 1)**2
Let v be (5 - (-55)/(-12))/((-50)/(-30)). Determine h so that 3/4*h + v*h**2 - 1 = 0.
-4, 1
Let u(b) be the third derivative of 0 - 1/330*b**5 - 2/33*b**4 + 0*b - 7*b**2 - 16/33*b**3. Solve u(a) = 0 for a.
-4
Let o(d) = -d**3 - 5*d**2 + 6*d + 6. Let w be o(-6). Factor -w*p + 26*p - 3*p**2 - 1 - 19 - 2*p**2.
-5*(p - 2)**2
Let z(c) be the second derivative of c**9/7560 - c**8/840 + c**7/630 + c**6/90 - c**5/20 - c**4/6 - c. Let n(x) be the third derivative of z(x). Factor n(y).
2*(y - 3)*(y - 1)**2*(y + 1)
Let z(j) be the first derivative of 1/6*j**2 - 14 + 1/24*j**4 - 1/6*j**3 + 0*j. Let z(c) = 0. Calculate c.
0, 1, 2
Let n = -24 + 61. Let a = n + -33. Solve -15*l**4 + 0*l**2 + l**5 - 5*l**2 - 15*l**3 - 2*l**5 - a*l**5 = 0.
-1, 0
Determine x, given that 563*x + 643*x + 4*x**2 - 1298*x = 0.
0, 23
Factor 0 - 6/11*a**3 - 4/11*a**2 + 0*a + 0*a**4 + 2/11*a**5.
2*a**2*(a - 2)*(a + 1)**2/11
Suppose 0*z - 48 = -4*z. Let j = -228 - -232. Solve 3*s**3 - 4*s - s**3 - s**5 - z*s**2 - 7*s**3 - 6*s**j - 8*s**3 = 0.
-2, -1, 0
Factor -96/5 - 99/5*r - 3/5*r**2.
-3*(r + 1)*(r + 32)/5
Let f(r) be the second derivative of -3/40*r**5 + 0 + 1/2*r**4 + 0*r**2 - 11*r + 0*r**3. Factor f(k).
-3*k**2*(k - 4)/2
Let h be (-1 - -1)*(-10 - -1)/(-9). Let w(t) be the second derivative of 1/15*t**6 - 1/6*t**3 + h + 1/42*t**7 - 1/6*t**4 - 6*t + 0*t**5 + 0*t**2. Factor w(u).
u*(u - 1)*(u + 1)**3
Let m = 2/5 + -11/30. Let k(w) be the third derivative of -m*w**5 + 5*w**2 + 4/15*w**3 - 2/15*w**4 + 0 + 0*w. Factor k(c).
-2*(c + 2)*(5*c - 2)/5
Suppose 22*d - 16*d - 18 = 0. Let i(m) be the first derivative of -2/25*m**5 + 0*m - 5 + 2/15*m**d - 1/5*m**2 + 1/10*m**4. Factor i(z).
-2*z*(z - 1)**2*(z + 1)/5
Factor 17*a**3 - 12*a**2 - a**4 - 6*a**2 - 8 - 24*a**3 - 20*a.
-(a + 1)*(a + 2)**3
Let k(j) = -10*j**3 + 5*j + 5. Let a(c) = 9*c**3 - 4*c - 4. Let b(z) = 5*a(z) + 4*k(z). Suppose b(o) = 0. What is o?
0
Let b be (-40)/(-48) - (-2)/(-4). Let a = -2635 - -2635. Find h, given that -1/3*h**3 + b*h + 0 + a*h**2 = 0.
-1, 0, 1
Let s(m) be the third derivative of -m**7/315 - m**6/15 - m**5/3 + 25*m**4/9 + 125*m**3/3 - 8*m**2 + 1. Find i such that s(i) = 0.
-5, 3
Let d(v) be the first derivative of 0*v + 14 + 7/2*v**3 + 3/2*v**2. Find r, given that d(r) = 0.
-2/7, 0
Let y be 296/1110*2/16. Let m(v) be the third derivative of 0*v + 0 + y*v**5 + v**2 + 1/4*v**4 + 2/3*v**3. Solve m(q) = 0 for q.
-2, -1
Let c(w) be the third derivative of w**5/80 + 9*w**4/32 - 9*w**3/2 + w**2 - 2. Factor c(q).
3*(q - 3)*(q + 12)/4
Let v = -4/21 + 6/7. Factor v*p + 0 - 2/3*p**3 - 2/3*p**4 + 2/3*p**2.
-2*p*(p - 1)*(p + 1)**2/3
Suppose 3*i - 22 = -2*v, -4*i = 2*v - 3*v - 22. Suppose 0*l - 18 = -2*l. Factor 3*t**2 - 19*t**3 + i*t + 13*t**3 - l + 6*t.
-3*(t - 1)**2*(2*t + 3)
Let j(o) be the third derivative of 0*o - 1/72*o**4 + 1/1890*o**7 + 1/360*o**6 + 0*o**3 + 0 - 1/540*o**5 + 11*o**2. Factor j(z).
z*(z - 1)*(z + 1)*(z + 3)/9
Let m(p) be the second derivative of -p**4/66 + 79*p**3/33 - 78*p**2/11 - 289*p. Suppose m(h) = 0. What is h?
1, 78
Let i = -67 + 70. Let 5*x**4 + 2*x**4 + 4*x**5 + 2*x**i - 4*x**4 - 3*x**5 = 0. What is x?
-2, -1, 0
Let l(n) be the second derivative of 0 + 3/2*n**2 + 1/12*n**4 - 15*n - 2/3*n**3. Factor l(h).
(h - 3)*(h - 1)
Let v = 146/43 + -866/559. Find b, given that -12/13*b**3 - 2*b**2 - 2/13*b**4 - 8/13 - v*b = 0.
-2, -1
Let c(b) be the first derivative of b**6/3 - 2*b**5/5 - b**4/2 + 2*b**3/3 - 49. Find j, given that c(j) = 0.
-1, 0, 1
Let i(u) be the first derivative of u**3/3 - 3*u**2 - 11*u - 4. Let p be i(8). Let -p*s**2 - 6*s**3 + s - 4*s**2 + 3*s - s**2 = 0. What is s?
-2, 0, 1/3
Factor -7*j**5 + 3*j**3 + 20*j**4 + 3*j**5 + 8*j**5 + j**5 + 160*j**2 - 143*j**3.
5*j**2*(j - 2)**2*(j + 8)
Let u = 20673/7 - 2953. Let -8/7 + 38/7*q**3 - 2*q**4 - 50/7*q**2 + u*q**5 + 32/7*q = 0. What is q?
1, 2
Let w be ((-6)/5)/((-7)/((-280)/12)). Let v(m) = -m**3 - 4*m**2 - m - 1. Let a be v(w). Suppose 6/13*l**4 + 10/13*l**a + 4/13*l**2 + 0 + 0*l = 0. What is l?
-1, -2/3, 0
Let k(h) = 15*h + 45. Let p be k(-3). Let v(t) be the third derivative of 4*t**2 + p - 5/8*t**4 - 9/20*t**5 + t**3 + 1/10*t**7 + 0*t + 1/8*t**6. Factor v(x).
3*(x - 1)*(x + 1)**2*(7*x - 2)
Let r(m) be the second derivative of m**6/60 + 3*m**5/8 + 61*m**4/24 + 7*m**3/4 - 49*m**2/2 + 64*m. Factor r(d).
(d - 1)*(d + 2)*(d + 7)**2/2
Let c(h) be the second derivative of 3/55*h**5 - 1/11*h**3 + 1/55*h**6 + 0 - 26*h + 3/11*h**2 - 1/11*h**4 - 1/77*h**7. Let c(n) = 0. Calculate n.
-1, 1
Let f(y) = 1780*y**3 - 1320*y**2 - 590*y + 9. Let t(n) = -885*n**3 + 660*n**2 + 295*n - 4. Let k(i) = 6*f(i) + 11*t(i). Solve k(x) = 0 for x.
-1/3, 2/63, 1
Let d be ((-4)/(3 - -1))/(6/(-12)). Let c(n) be the first derivative of -4/3*n**3 + 4*n + 2*n**d + 8 - n**4. Find q such that c(q) = 0.
-1, 1
Determine j, given that -j + 634 - 578 - 4*j**2 - 7*j + j - 13*j = 0.
-7, 2
Factor -36*t**2 - 972 + 324*t + 4/3*t**3.
4*(t - 9)**3/3
Let h be 1/(4 + -5)*-1. Let a be h/(2/(-4)) - 896/(-420). Find s such that 4/15*s**4 + 0*s + 0 - a*s**3 - 2/15*s**2 = 0.
-1/2, 0, 1
Factor 12*m**4 - 5*m**5 + 9*m**5 - 6*m**3 + 14*m**3.
4*m**3*(m + 1)*(m + 2)
Suppose -278*c + 473*c = 0. Factor -6/7*m**3 - 1/7*m**4 + c - 5/7*m**2 + 0*m.
-m**2*(m + 1)*(m + 5)/7
Let p(o) = -4*o - 126. Let k be p(-34). Suppose -106*m + k = -104*m. Suppose 2/3*f**m + 0*f**3 - 2/3*f + 0 + 4/3*f**4 - 4/3*f**2 = 0. What is f?
-1, 0, 1
Let g be ((-44)/55)/((-2)/5). Factor -2*l**4 - g + 4*l**2 - 2*l**2 + 2*l**2.
-2*(l - 1)**2*(l + 1)**2
Solve 1736*q**2 + 452*q - 1741*q**2 - 132*q = 0.
0, 64
Let q(k) be the second derivative of -1/23*k**2 + 2/69*k**3 + 0 + 11*k + 1/46*k**4. Factor q(o).
2*(o + 1)*(3*o - 1)/23
Let i be (-91)/13 - 1 - (17 + -29). Factor -2/7*x**5 + 8/7*x**i - 12/7*x**3 + 0 + 8/7*x**2 - 2/7*x.
-2*x*(x - 1)**4/7
Find o such that 200*o**2 - 40/3*o**3 - 4000/3*o + 1/3*o**4 + 10000/3 = 0.
10
Let i(j) = 8*j**2 + 15*j + 4. Let a(q) = -q**2 - q. Let l = 2 + 2. Suppose -4*f - 38 = -3*u, l*u - 4*f - 2 = 7*u. Let t(g) = u*a(g) + 2*i(g). Factor t(n).
2*(n + 2)*(5*n + 2)
Let q(l) be the third derivative of 0*l + 0*l**6 - 1/120*l**5 + 0*l**4 + 0 - l**2 + 1/420*l**7 + 0*l**3. Let q(f) = 0. What is f?
-1, 0, 1
Suppose 66 = -7*l + 220. Let t = l - 17. Suppose 2*q**2 + 5*q - 2*q - t*q**2 + 2*q**2 = 0. Calculate q.
0, 3
Suppose 0 = -l + 4, 6 = 5*n - 5*l + 4*l. Suppose 42*p**2 - 40*p**n + 10 - 8*p - 20 = 0. What is p?
-1, 5
Let b(z) be the first derivative of -z**5 + 15*z**4 - 55*z**3/3 + 64. Factor b(a).
-5*a**2*(a - 11)*(a - 1)
Let r = 21 + -15. Let v(w) = -5*w**3 + 5*w. Let q(g) = -g**3 + g. Let l(u) = r*v(u) - 25*q(u). Factor l(z).
-5*z*(z - 1)*(z + 1)
Let l(y) = 2*y**2 + y + 2. Let k(u) = 13*u**2 + 82*u + 1456. Let v(f) = -k(f) + 6*l(f). Factor v(b).
-(b + 38)**2
Solve -6*b**3 + 26*b - b**2 - 14*b**4 + 17*b**2 - 4*b**5 + 26*b + 29*b - 73*b = 0 for b.
-2, -1/2, 0, 1
Let f(u) = -u**3 + 87*u**2 + 4*u - 87. Let d(h) = 8*h**3 - 608*h**2 - 28*h + 608. Let m(r) = 3*d(r) + 20*f(r). Factor m(y).
4*(y - 21)*(y - 1)*(y + 1)
Let d(f) be the first derivative of f**6/600 - f**4/40 + f**3/15 - 2*f**2 + 5*f - 6. Let a(h) be the second derivative of d(h). What is b in a(b) = 0?
-2, 1
Suppose -226 = -38*l - 74. Determine j, given that 2/7*j**3 + 3*j**2 - 4/7 + 8/7*j - j**l = 0.
-1, 2/7, 2
Factor 662*u**4 - u + u - 692*u**4 + 5*u**5.
5*u**4*(u - 6)
Let o = -2/419 - -1267/2095. Let p be (-1 - -2) + (-6)/15. Factor p*q**2 + o - 6/5*q.
3*(q - 1)**2/5
Let a(d) be the third derivative of -d**6/120 - 13*d**5/60 - d**4/12 - 13*d**3/3 + 23*d**2. Let j be a(-13). Solve 1/2*u**4 - 2*u**3 + 2*u**2 + 0*u + j = 0.
0,