r = 17 - 49/3. Factor z*n - 2/3*n**2 + r.
-2*(n - 1)*(n + 1)/3
Let y(v) = 5*v**2 - 15*v - 108. Let u(j) = 2*j**2. Let x(a) = u(a) - y(a). Factor x(p).
-3*(p - 9)*(p + 4)
Suppose 2*o - 2*b = 4, -10 = -o - 0*b - b. Suppose 10 - 5*d**2 + d - o*d - d + d = 0. Calculate d.
-2, 1
Let w = -130 + 76. Let o be w/8*(12/(-9) - -1). Solve 15/4*h**2 + 3/4*h**3 + o + 21/4*h = 0.
-3, -1
Let w(j) be the second derivative of 0 + 0*j**2 + 16*j + 1/9*j**3 - 1/18*j**4. Factor w(s).
-2*s*(s - 1)/3
Let n(j) = -4*j**2 + 24*j - 222. Let q(k) = -k**2 - 2*k + 1. Let h(c) = 2*n(c) - 6*q(c). Factor h(b).
-2*(b - 15)**2
Let r be ((-5)/(-4))/(580/1856). Let o(m) be the second derivative of 1/165*m**6 + 0*m**2 - 6*m - 1/33*m**3 + 1/22*m**r - 3/110*m**5 + 0. Factor o(q).
2*q*(q - 1)**3/11
Let j(n) be the first derivative of n**6/2 + 22*n**5/3 + 49*n**4/2 - 280*n**3/3 - 3575*n**2/6 - 250*n - 271. Factor j(o).
(o - 3)*(o + 5)**3*(9*o + 2)/3
Let l = 193 + -189. Suppose 42*r - 41*r = l. Factor -2/7*b**5 + 4/7*b**2 + 0 + 2/7*b + 0*b**3 - 4/7*b**r.
-2*b*(b - 1)*(b + 1)**3/7
Suppose -5*p + 300 = 12*q - 7*q, 3*p = 4*q - 212. Let l = q - 54. Factor -2/11*f**l + 0 + 4/11*f.
-2*f*(f - 2)/11
Let q(h) be the third derivative of 0*h**3 + 1/12*h**5 - 5/24*h**4 + 9*h**2 - 1/42*h**7 + 0 + 1/24*h**6 + 0*h. Factor q(x).
-5*x*(x - 1)**2*(x + 1)
Let k be ((-3)/(-12))/(-1) + 124/186. Let x(c) be the first derivative of 0*c - 1 + k*c**4 + 0*c**3 + 0*c**2. Factor x(l).
5*l**3/3
Let i(a) be the second derivative of a**9/10584 + a**8/2940 + a**7/2940 - 7*a**3/6 + 10*a. Let f(m) be the second derivative of i(m). Factor f(r).
2*r**3*(r + 1)**2/7
Let a(v) be the first derivative of -v**5/420 - v**4/56 - v**3/21 + 14*v**2 + 16. Let t(n) be the second derivative of a(n). Solve t(s) = 0.
-2, -1
Suppose 5*s - 2*u - 34 = 0, -s - 22 = -3*s - 2*u. Factor -s*x**3 - 4*x**4 - 3*x + 9*x + 4*x**2 + 2*x**5 + 0*x.
2*x*(x - 3)*(x - 1)*(x + 1)**2
Let z(m) be the third derivative of 0 + 4/3*m**3 - 1/4*m**4 - 1/30*m**5 + 0*m + 12*m**2. Solve z(x) = 0 for x.
-4, 1
Let p be (-3)/(-8) - (-370)/80. Solve n**5 - 8*n**2 + 15*n**3 - 3*n**3 + 4*n**4 + 4*n**4 - 13*n**p = 0 for n.
-1, 0, 2/3, 1
Factor 2/7*b**2 + 0 - 2/7*b**3 - 2/7*b**4 + 2/7*b.
-2*b*(b - 1)*(b + 1)**2/7
Let v(u) be the third derivative of 1/24*u**4 - 13*u**2 + 0*u + 0 + 1/120*u**6 + 1/30*u**5 + 0*u**3. Factor v(b).
b*(b + 1)**2
Let m(q) be the third derivative of 20*q**2 + 0*q**3 + 0*q + 1/30*q**5 + 1/35*q**7 - 1/20*q**6 - 1/168*q**8 + 0*q**4 + 0. Factor m(b).
-2*b**2*(b - 1)**3
Let x = 727 - 9461/13. Let m = 76/65 + x. Solve -m - 1/5*c + 1/5*c**2 = 0 for c.
-1, 2
Let n = 12084 + -12082. Determine c so that 2*c + 4/5 + 8/5*c**n + 2/5*c**3 = 0.
-2, -1
Let -6 - 9212*d + 15 + 9218*d - 3*d**2 = 0. What is d?
-1, 3
Let g(k) be the first derivative of 3*k**4/20 + k**3/5 - 3*k**2/5 + 73. Let g(v) = 0. What is v?
-2, 0, 1
Let h = 10927/2 - 5463. Solve -1/2*z**5 + z**3 + 0 - h*z + 0*z**4 + 0*z**2 = 0.
-1, 0, 1
Let f be 3/(((-108)/8)/(-9)). Suppose 2*x**3 - 5*x**2 + 3*x**3 + 4*x**f - 2*x - 4*x**3 = 0. Calculate x.
-1, 0, 2
Suppose 1 = 4*v + 13. Let i(x) = x**3 - 1. Let t(y) = -y - 2. Let r be t(1). Let o(j) = -2*j**3 - 3*j**2 - 2*j + 1. Let c(z) = r*i(z) + v*o(z). Factor c(a).
3*a*(a + 1)*(a + 2)
Suppose -5*b = -34 - 21. What is g in b*g - 3*g**3 + 24 + 0*g - 45*g**5 + 12*g**4 + g - 30*g**2 + 42*g**5 = 0?
-1, 2
Let q(c) be the first derivative of 2*c**3/17 - 203*c**2/17 - 8*c - 183. Find u such that q(u) = 0.
-1/3, 68
Let z(g) be the first derivative of -1/2*g**4 + 16*g + 25 + 4*g**2 - 4/3*g**3. Let z(m) = 0. Calculate m.
-2, 2
Let r(o) be the second derivative of 0*o**3 + 0*o**4 + 0 + 1/75*o**6 + 1/105*o**7 + 0*o**5 - o + 0*o**2. What is f in r(f) = 0?
-1, 0
Let a = 160 - 134. Suppose -r - 12*r = -a. Factor 0*j - 1/5*j**3 + 1/5*j**r - 1/5*j**4 + 1/5*j**5 + 0.
j**2*(j - 1)**2*(j + 1)/5
Solve 0*m + 2/15*m**3 - 74/5*m**2 + 0 = 0.
0, 111
Let w(c) be the third derivative of c**8/2184 - 11*c**7/1365 - 7*c**6/390 + 4*c**5/65 + 127*c**2. Find l, given that w(l) = 0.
-2, 0, 1, 12
Let b = -12694/5 + 2539. Solve -b + 0*m + 1/5*m**2 = 0 for m.
-1, 1
Let s(u) = -76*u**3 + 548*u**2 - 1132*u - 892. Let a(g) = -50*g**3 + 366*g**2 - 755*g - 595. Let o(n) = -8*a(n) + 5*s(n). Find c such that o(c) = 0.
-3/5, 5
Let b = -51 - -71. Suppose -4*y + b = 8. Factor q**y - 4*q**2 + 3*q**4 + 7*q**2 - 3*q**3 - 4*q**3.
3*q**2*(q - 1)**2
Let b(v) be the first derivative of -v**8/336 - v**7/105 - v**6/120 - 5*v**2 + 21. Let t(q) be the second derivative of b(q). Factor t(s).
-s**3*(s + 1)**2
Let d(k) be the first derivative of 4*k**3/45 + k**2/15 - 2*k/15 - 86. Determine w so that d(w) = 0.
-1, 1/2
Let h(m) be the first derivative of -5*m**3/3 + 100*m**2 + 205*m - 292. Let h(n) = 0. What is n?
-1, 41
Let j(p) = -p**3 - 2*p**2 + 3. Let m be j(0). Let q be (-18)/m*(-7)/(378/8). Factor 8/9*t**4 + 0 - 2/9*t**5 - 2/9*t + q*t**2 - 4/3*t**3.
-2*t*(t - 1)**4/9
Let f(m) = -m**2 + 11*m - 8. Let t be f(10). Let a(u) be the first derivative of -2*u**2 + 11/3*u**3 + 1/2*u + t + 9/10*u**5 - 3*u**4. Factor a(n).
(n - 1)**2*(3*n - 1)**2/2
Let o be (-32)/(-10) - (-1)/(-5). Factor 14*h**3 - 6*h**2 + 4*h - 11*h**o - h.
3*h*(h - 1)**2
Let q(p) be the third derivative of 0 - 1/120*p**5 + 1/12*p**3 + 0*p**4 + 0*p - 9*p**2. Factor q(n).
-(n - 1)*(n + 1)/2
Solve -1/4*m**3 - 1 + m**2 + 1/4*m = 0 for m.
-1, 1, 4
Let c(f) be the third derivative of -f**5/270 + 5*f**4/36 + 16*f**3/27 + 32*f**2. Solve c(u) = 0 for u.
-1, 16
Let d(k) be the third derivative of 2*k**7/315 + 17*k**6/45 + 289*k**5/45 + 4*k**2 - 5*k. Factor d(s).
4*s**2*(s + 17)**2/3
Let x be (1 - 3/(-3))/(-2). Let j be -4 - (-3 - x) - -4. Factor -s - 2*s**2 + 0*s + j + s**2.
-(s - 1)*(s + 2)
Solve 338/5 + 2/5*g**2 - 52/5*g = 0 for g.
13
Let c(o) = -4*o**3 - 5*o**2 + 72*o - 51. Let m(l) = -9*l**3 - 7*l**2 + 145*l - 101. Let f(n) = -14*c(n) + 6*m(n). Suppose f(v) = 0. What is v?
-18, 1, 3
Let o(m) be the third derivative of -2*m**7/105 - 7*m**6/15 - 12*m**5/5 - 17*m**4/3 - 22*m**3/3 + 5*m**2 - m. Suppose o(w) = 0. Calculate w.
-11, -1
Suppose 26*c = 27*c - 6. Factor 6*x + c - 12*x + 9*x - 3*x**2.
-3*(x - 2)*(x + 1)
Let a(h) = h**3 + 4*h**2 - 3*h + 10. Let n = -133 - -128. Let z be a(n). Solve z*o + 3/8*o**2 + 0 - 3/8*o**3 = 0 for o.
0, 1
Let s(z) be the second derivative of 3*z**5/100 + z**4/5 - z**3/2 + 23*z. Factor s(b).
3*b*(b - 1)*(b + 5)/5
Let y(n) be the second derivative of -n**6/20 - 9*n**5/20 - 13*n**4/8 - 3*n**3 - 3*n**2 - 107*n - 2. Solve y(x) = 0.
-2, -1
Suppose -10 = -525*r + 520*r. Determine q, given that -27/4*q**r - 15/4*q**3 - 21/4*q - 3/2 - 3/4*q**4 = 0.
-2, -1
Factor 24/17*b + 2/17*b**4 + 12/17*b**3 + 26/17*b**2 + 8/17.
2*(b + 1)**2*(b + 2)**2/17
Factor 164*t + 4*t**3 + 182 + 64*t**2 - 294 + 216.
4*(t + 1)*(t + 2)*(t + 13)
Factor 100*v**2 + 0 + 585/2*v**3 + 405/2*v**4 + 10*v.
5*v*(v + 1)*(9*v + 2)**2/2
Let l(g) be the first derivative of 2*g**5/25 - 7*g**4/10 + 22*g**3/15 - g**2 + 522. Let l(u) = 0. Calculate u.
0, 1, 5
Let b(i) be the second derivative of i**2/2 - 10*i. Let k(a) = -4*a**2 - 7*a - 5. Let o(q) = -21*b(q) - 3*k(q). Factor o(r).
3*(r + 2)*(4*r - 1)
Let m(i) be the third derivative of -i**5/20 + 19*i**4 - 151*i**3/2 - 48*i**2. What is s in m(s) = 0?
1, 151
Suppose -2*n - 6 = n. Let v be (-11)/n + 2/(-4). What is m in -m**v - 2*m**4 - m**3 - 5*m**2 + 5*m**2 = 0?
-1, 0
Suppose -6*z + 3*z = -z. Factor 1/5*q**4 + z + 2/5*q + 4/5*q**3 + q**2.
q*(q + 1)**2*(q + 2)/5
Let l(w) be the third derivative of 2/135*w**6 + 0*w**4 - 1/945*w**7 + 12*w**2 - 1/15*w**5 + 0 + w**3 + 0*w. Let l(t) = 0. What is t?
-1, 3
Let i(a) be the third derivative of -a**6/600 - a**5/10 - 8*a**4/5 + 256*a**3/15 + 4*a**2 + 21*a. Factor i(s).
-(s - 2)*(s + 16)**2/5
Let l(q) be the first derivative of -3*q**2 + 4*q + 13. Let s(c) = c**2 + c - 1. Suppose -15 = -4*b - 7. Let u(x) = b*l(x) + 4*s(x). Factor u(g).
4*(g - 1)**2
Solve 12*o**4 + 4*o**3 - 16*o - 10 - 9 - 11*o**4 + 3 = 0 for o.
-2, 2
Find v such that -7*v**3 + 9*v**3 + 7*v**4 - 2*v**4 + v**4 = 0.
-1/3, 0
Let t = -464 + 469. Let y(v) be the third derivative of -1/20*v**t + 0*v**4 + 0*v**3 + 0 + 0*v + 4*v**2. Factor y(q).
-3*q**2
Factor -25*i + 4*i**2 - 254 - 256 - 35*i + 4 + 106.
4*(i - 20)*(i + 5)
Let g = -11 - -19. 