 + i**4/8 + 3*i**2 + 2. Factor t(r).
3*r*(r + 1)
Let v be (-6 - (6 - 192/18))*-3. Factor -3/4*f**v - 1/2*f**3 + 0*f**2 + 0 + 0*f.
-f**3*(3*f + 2)/4
Let k be 637/98 + (-18)/3. Factor k*w**2 - 1/5*w + 1/10*w**4 + 0 - 2/5*w**3.
w*(w - 2)*(w - 1)**2/10
Let p be 0*(-6)/(-4)*108/486. Let x(h) be the third derivative of 0*h - 1/5*h**3 + p - 5*h**2 - 11/40*h**4 - 9/100*h**5. Factor x(f).
-3*(f + 1)*(9*f + 2)/5
Let b(f) = 10*f**2 - 7*f - 12. Let n(t) = -t - 16*t**2 + 7*t**2 - 1 + 10*t**2. Let x(y) = 4*b(y) - 36*n(y). Factor x(r).
4*(r - 1)*(r + 3)
Let k = -4 + 2. Let g = k - -7. Determine j so that g*j**3 + 4*j + 6*j**2 + 1 + 0*j**2 + 0*j**3 + j**4 - j**3 = 0.
-1
Let t(w) = w**2 - w + 1. Let y(u) be the third derivative of -7*u**5/60 + 7*u**4/24 - 5*u**3/3 - 37*u**2. Let d(h) = 24*t(h) + 3*y(h). Factor d(g).
3*(g - 2)*(g + 1)
Let a(u) be the first derivative of u**6/720 - 2*u**3/3 + 8. Let j(o) be the third derivative of a(o). Find l such that j(l) = 0.
0
Let c(q) be the second derivative of q**8/12 - 2*q**7/21 - q**6/15 - 8*q**2 + 9*q. Let h(v) be the first derivative of c(v). Solve h(l) = 0 for l.
-2/7, 0, 1
Let f(n) be the third derivative of n**5/30 - n**4/3 + n**3 + 138*n**2. Factor f(d).
2*(d - 3)*(d - 1)
Suppose 8 = 4*b - 8. Factor -8 + 8 - b*r**5 - 8*r**4.
-4*r**4*(r + 2)
Suppose 0 = 2*r + 101 - 109. Suppose 7 = m + r. Factor 0*t + 0 - 2/3*t**2 - 2/3*t**m.
-2*t**2*(t + 1)/3
Let c(d) be the third derivative of 0*d + 0 + 0*d**4 + 0*d**3 + 1/330*d**5 - 14*d**2. Let c(j) = 0. Calculate j.
0
Let t(u) = -2*u**2 - 8*u + 12. Let l be t(-5). What is r in -7*r + 3*r + 4 + l*r**3 + 0*r**2 + 2*r - 4*r**2 = 0?
-1, 1, 2
Suppose 2*f = -p + 3, 29 = -4*p + 9*p - 4*f. Factor -428*r**3 + 0 + 423*r**3 + 0 + p*r.
-5*r*(r - 1)*(r + 1)
Let h(k) be the first derivative of 4*k**5/3 + 41*k**4/6 + 34*k**3/9 - 44*k**2/3 + 8*k + 203. Determine g, given that h(g) = 0.
-3, -2, 2/5, 1/2
Let z(m) = -2*m**3 + 67*m**2 - 34*m + 35. Let k be z(33). Solve 0*a**4 + 0 + 2/9*a**5 + 0*a + 0*a**k - 2/9*a**3 = 0.
-1, 0, 1
Suppose 0 = 5*z - 10*t - 90, 0 = 5*z - 7*t + 12*t + 30. Let -2*w**3 - 8/3*w + 16/3*w**z + 0 = 0. Calculate w.
0, 2/3, 2
Let i(u) = 466*u**4 - 1152*u**3 + 1003*u**2 - 317*u. Let y(t) = 78*t**4 - 192*t**3 + 167*t**2 - 53*t. Let d(r) = -6*i(r) + 34*y(r). Factor d(g).
-4*g*(g - 1)*(6*g - 5)**2
Let v(w) be the first derivative of -8/9*w + 7/18*w**4 + 2/3*w**3 - 4/3*w**2 - 19. Factor v(d).
2*(d - 1)*(d + 2)*(7*d + 2)/9
Let w(j) = j**2 - 2*j - 3. Let p(r) = 6*r**2 - 21*r - 13. Let u(g) = -3*g**2 + 11*g + 6. Let b(x) = 4*p(x) + 7*u(x). Let h(t) = 2*b(t) - 7*w(t). Factor h(n).
-(n - 1)*(n + 1)
Solve 14/3*j**3 - 2/3*j**5 - 128/3 + 96*j - 184/3*j**2 + 4*j**4 = 0.
-4, 1, 4
Let f(b) be the first derivative of b**5/180 - b**4/24 + 15*b**2/2 + 21. Let t(l) be the second derivative of f(l). Suppose t(d) = 0. Calculate d.
0, 3
Let o = 48 - 32. Suppose 3*x + x - o = 0. Find p such that -3*p**x + 2*p**4 - p**4 = 0.
0
Let t = -14 + 12. Let y(j) = j**3 - 5*j**2 + 2*j - 4. Let u be y(5). Let g(d) = -d**2 + 4*d - 3. Let x(h) = h - 1. Let w(r) = t*g(r) + u*x(r). Factor w(s).
2*s*(s - 1)
Suppose -31 = -2*v + 3*i, 5*v + 2*i = 3*i + 58. Suppose 10*o + 4 = v*o. Factor r**2 - 3 - 3*r + o + 1 + 0*r**2.
(r - 2)*(r - 1)
Factor 470*p**2 + 5*p**4 - 833*p - 80*p**3 + 460 + 665 - 367*p.
5*(p - 5)**2*(p - 3)**2
Let g(h) = 4*h**3 - 12*h**2 - 30*h + 5. Let m(w) = 4*w**3 - 12*w**2 - 32*w + 4. Let s(z) = -4*g(z) + 5*m(z). Factor s(n).
4*n*(n - 5)*(n + 2)
Suppose 5*s = 25, 0 = 3*w + 3*s + 20 - 98. Let c(o) = -o + 25. Let v be c(21). Factor w*l - 2 + 0 - 24*l**2 - v + 9*l**3.
3*(l - 1)**2*(3*l - 2)
Let x(y) be the first derivative of -4*y**5/5 - 5*y**4 + 4*y**3/3 + 10*y**2 + 5. What is o in x(o) = 0?
-5, -1, 0, 1
Let s(d) be the third derivative of 0 + 1/350*d**7 + 0*d**5 + 0*d**4 + 0*d**3 + 0*d - 1/140*d**8 - 3*d**2 + 0*d**6. Factor s(w).
-3*w**4*(4*w - 1)/5
Let h(x) be the first derivative of x**6/180 - x**5/20 + x**4/6 + 23*x**3/3 + 6. Let p(i) be the third derivative of h(i). Let p(q) = 0. What is q?
1, 2
Let u be (12/2700*-3)/((-12)/15). Let a(c) be the third derivative of 1/10*c**3 - 1/300*c**5 + u*c**4 - 14*c**2 + 0 + 0*c. Let a(y) = 0. Calculate y.
-1, 3
Let n(v) = -8*v**5 - 8*v**2 - 6*v + 6. Let c(x) = -2*x**5 - 4*x**4 + 3*x**4 - 1 + 3*x**5 + x + 2*x**4. Let t(k) = 6*c(k) + n(k). Factor t(a).
-2*a**2*(a - 2)**2*(a + 1)
Let y(c) be the third derivative of c**6/216 - c**5/36 + 5*c**4/72 - 25*c**3/6 - 31*c**2. Let l(q) be the first derivative of y(q). Solve l(h) = 0 for h.
1
Let r(i) be the second derivative of -i**7/84 + i**6/60 + 3*i**5/20 + i**4/12 - 5*i**3/12 - 3*i**2/4 + 311*i. Solve r(y) = 0 for y.
-1, 1, 3
Let d(q) = 23*q - 20. Let n be d(1). Let u(m) be the third derivative of 0*m - 2/3*m**n + 2/105*m**7 + m**2 + 1/15*m**6 - 1/3*m**4 + 0 + 0*m**5. Factor u(k).
4*(k - 1)*(k + 1)**3
Let -1/3*k**2 - 7921/3 + 178/3*k = 0. What is k?
89
Let -236*t + 26*t**2 - 235*t - 233*t + 702*t = 0. Calculate t.
0, 1/13
Let t(j) be the second derivative of j**8/1260 + j**7/1890 - j**6/135 - j**5/90 + j**4/4 + 13*j. Let n(k) be the third derivative of t(k). Solve n(x) = 0 for x.
-1, -1/4, 1
Let l(m) be the third derivative of 961*m**5/3 - 62*m**4/3 + 8*m**3/15 + 3*m**2 - 36*m. Let l(w) = 0. What is w?
2/155
Let r(o) be the second derivative of -o**7/945 - o**6/270 - 29*o**2/2 + 3*o. Let j(a) be the first derivative of r(a). Factor j(p).
-2*p**3*(p + 2)/9
Find v such that 5*v**2 + 135 + 75 + 219 + 256 - 205 + 250*v = 0.
-48, -2
Let f(l) be the first derivative of 2 + 7/9*l**3 + 2*l + 23/6*l**2. Factor f(i).
(i + 3)*(7*i + 2)/3
Suppose -5*j + 25 = 5*r, 3*r - 25 + 6 = -5*j. Let n = -8/3 - -3. Suppose 0 + n*x + 1/6*x**3 - 1/2*x**j = 0. Calculate x.
0, 1, 2
Let c(q) be the first derivative of -7*q**6/18 - 44*q**5/15 - 17*q**4/3 - 16*q**3/9 + 39. Let c(u) = 0. Calculate u.
-4, -2, -2/7, 0
Let r = -1035/14 + 74. Let g(n) be the second derivative of 5*n + 7/30*n**6 - 1/4*n**4 + 1/3*n**3 - 3/20*n**5 + 0*n**2 - r*n**7 + 0. Solve g(s) = 0 for s.
-2/3, 0, 1
Let h be ((-12)/21)/((-322)/98 + 3). Factor 3/4*r**h + 0 - 15/4*r.
3*r*(r - 5)/4
Let o = 9289 - 9287. Factor -2 + 1/2*q**3 - o*q + 1/2*q**2.
(q - 2)*(q + 1)*(q + 2)/2
Factor 105*v**5 + 5*v + v**2 - 106*v**5 + 6*v**4 + 0*v - 7*v**2 - 4*v**3.
-v*(v - 5)*(v - 1)**2*(v + 1)
Solve -9 + 3*l - 1/4*l**2 = 0.
6
Let m(o) = o**2 + o. Let i be m(2). Suppose i*a = a. Solve a*u**3 + 3*u**4 - 15*u**3 - 16*u + 6 + 27*u**2 - 5*u = 0.
1, 2
Let h = 249 - 245. Let x(k) be the first derivative of -2 - 4/21*k**3 + 4/7*k - 1/7*k**2 + 1/14*k**h. Determine n, given that x(n) = 0.
-1, 1, 2
Find z, given that 4834 - 6*z**2 - 3*z**3 - 4726 + 3*z + 13*z + 29*z = 0.
-3, 4
Let d be ((-73)/(-6))/((-2)/(-3) + 1). Let z = d + -34/5. Find q such that 1/2*q**4 - z*q**2 + 1/6*q**3 + 0 - 1/6*q = 0.
-1, -1/3, 0, 1
Let z = 3/8 + 17/40. Suppose -15*m + 148 - 118 = 0. Find x such that -4/5*x**m + z + 2/5*x - 2/5*x**3 = 0.
-2, -1, 1
Let a be -6 + (-14)/(-21)*12 - -2. Suppose 0*h**a - 4/9*h**3 + 0*h**2 + 2/9*h + 2/9*h**5 + 0 = 0. Calculate h.
-1, 0, 1
Let u = 10302 + -10299. Suppose -7/4*q**2 + 0 + 1/2*q + 7/4*q**u - 1/2*q**4 = 0. Calculate q.
0, 1/2, 1, 2
Let s(x) be the first derivative of -x**6/12 + x**5/2 + 9*x**4/8 - 13*x**3/6 - 7*x**2 - 6*x - 314. Find k, given that s(k) = 0.
-1, 2, 6
Let z(s) be the first derivative of s**5/20 - s**4 + 15*s**3/4 + 81*s**2/4 - 21. Find b, given that z(b) = 0.
-2, 0, 9
Let y(d) be the second derivative of -2/9*d**4 + 0*d**2 - 1/45*d**5 - 2*d + 0*d**3 + 0. Factor y(t).
-4*t**2*(t + 6)/9
Let c(q) = -q**3 + q + 2. Let h be c(0). Suppose y + h*z + 8 = 6*y, -3 = -3*y + 3*z. Determine i, given that -1/4*i + 1/4*i**y + 0 = 0.
0, 1
Factor 4*w**4 + 12*w + 4 + 12*w + 0 + 10 - 24*w**3 + 14 - 32*w**2.
4*(w - 7)*(w - 1)*(w + 1)**2
Let f(v) = -18*v + 92. Let a be f(5). Suppose 0 = -l, 0 = o + 4*o + a*l. Suppose -4/5*g**2 - 8/5*g**4 + 0 - 2*g**3 - 2/5*g**5 + o*g = 0. Calculate g.
-2, -1, 0
Let y(u) = -7*u**4 - u**3 - u**2 + u + 1. Let v(o) = 6*o**4 - 8*o**3 - 24*o**2 - 28*o - 11. Let g(k) = 3*v(k) + 3*y(k). Factor g(m).
-3*(m + 1)**2*(m + 2)*(m + 5)
Suppose -46 = -4*h + b - 0*b, 5*h - b - 58 = 0. Determine r, given that -h*r**3 + 32*r**4 - 100*r + 108*r - 20*r**2 - 5*r**5 + 21*r**5 = 0.
-2, 