4
Factor -601 + 311*d + 94 - d**4 + 625*d - 354*d**2 + 0*d**4 - 2*d**4 - 72*d**3.
-3*(d - 1)**2*(d + 13)**2
Let j(k) be the first derivative of -k**4/7 - 44*k**3 - 5082*k**2 - 260876*k + 235. Factor j(m).
-4*(m + 77)**3/7
Let h(r) be the second derivative of 1/15*r**4 + 0*r**2 + 0 + 6*r + 1/30*r**3 + 3/100*r**5. Factor h(i).
i*(i + 1)*(3*i + 1)/5
Factor 28/5*j**2 - 48/5*j - 16/5.
4*(j - 2)*(7*j + 2)/5
Let y(f) be the third derivative of f**7/189 + 11*f**6/30 - 17*f**5/54 - 11*f**4/6 + 80*f**3/27 + 260*f**2. Solve y(i) = 0 for i.
-40, -1, 2/5, 1
Let s(a) = -a**2 - 45*a + 252. Let k be s(5). Factor 10/11*z**k + 6/11 + 16/11*z.
2*(z + 1)*(5*z + 3)/11
Let p(t) be the second derivative of -1/50*t**5 - 4*t - 1/10*t**4 - 2/15*t**3 + 0 + 0*t**2. Factor p(k).
-2*k*(k + 1)*(k + 2)/5
Let s = -7 + -4. Let l(y) = 21*y**2 + 11*y - 10. Let z(g) = -11*g**2 - 6*g + 5. Let q(o) = s*z(o) - 6*l(o). Factor q(r).
-5*(r - 1)*(r + 1)
Suppose 0 = 3*q + 36 - 48. Let f(i) be the second derivative of 1/4*i**2 - 1/8*i**3 + 0 + 1/48*i**4 - q*i. Factor f(x).
(x - 2)*(x - 1)/4
Let d(k) = -k**3 - 6*k**2 - 5*k - 5. Let z be d(-5). Let j be 52 - 52 - 16/z. Solve -4/5*f**2 - j*f - 12/5 = 0 for f.
-3, -1
Let n = -24 - -26. Suppose 28*y**n - 5*y**3 - 18*y**2 + 20*y**2 - 25*y = 0. Calculate y.
0, 1, 5
Suppose 0 = -2*n + n + 10. Suppose 0 = 5*y - 5*x - n, -2*y + 0*x = 3*x + 6. Factor 61*w**3 + 18*w + y - 7*w**3 - 2 - 54*w**2.
2*(3*w - 1)**3
Let k(y) be the first derivative of 3*y**5/5 - 3*y**4/2 + y**3 + 159. Factor k(a).
3*a**2*(a - 1)**2
Let b(v) be the second derivative of -v**5/12 + 35*v**4/36 - 35*v**3/9 + 20*v**2/3 - 41*v + 2. What is c in b(c) = 0?
1, 2, 4
Let x(i) = 2*i**3 + 3*i**2. Let l(n) = 30*n**3 - 14*n**3 + 2*n**2 - 15*n**3. Let d(b) = -5*l(b) + 4*x(b). Solve d(w) = 0 for w.
-2/3, 0
Let k(a) be the third derivative of -a**7/210 + a**6/45 - a**5/30 - 7*a**3/6 + 13*a**2. Let j(n) be the first derivative of k(n). Let j(u) = 0. What is u?
0, 1
Factor -11*w - 1 - 3 - 8*w**3 + 25*w + 4*w - 6*w**2 + 0.
-2*(w - 1)*(w + 2)*(4*w - 1)
Let u(y) be the second derivative of -11*y + 0 + 1/8*y**4 + 0*y**2 + 0*y**3. Suppose u(w) = 0. What is w?
0
Let w(z) be the first derivative of -2*z - 3/2*z**2 - 1/3*z**3 + 26. Factor w(g).
-(g + 1)*(g + 2)
Let j(h) be the first derivative of -2*h**2 + 2/3*h**6 + 8/5*h**5 - 8/3*h**3 + 0*h - 9 + 0*h**4. Solve j(r) = 0 for r.
-1, 0, 1
Let v(j) be the third derivative of j**6/1080 - j**5/540 - j**4/108 + 634*j**2. Factor v(q).
q*(q - 2)*(q + 1)/9
Suppose 9 = w + 3*o + 1, 3*w - o = 4. Determine q, given that 201 + 21*q**2 - 35*q + 3*q**3 + 15*q**w + 179*q - 9 = 0.
-4
Let i = -8986/143 - -824/13. Find g, given that -2/11*g**3 + 0*g + 0 - i*g**2 = 0.
-3, 0
Let x = 1791/10 + -179. Let z(l) be the third derivative of 0 + 0*l**4 + 0*l**3 + x*l**6 - 2/15*l**5 + 4*l**2 - 1/84*l**8 + 0*l**7 + 0*l. Factor z(p).
-4*p**2*(p - 1)**2*(p + 2)
Let n(f) = 4*f - 13. Let a be n(7). Let h = -13 + a. Factor -2*j**2 + j**h + 2*j**3 + j**2 - 2*j**2.
2*j**2*(j - 1)
Factor -2/9*g**4 - 2/3*g**2 + 0*g + 0 + 8/9*g**3.
-2*g**2*(g - 3)*(g - 1)/9
Let c = -222 - -222. Let h(k) be the first derivative of 1/6*k**4 - 1/3*k**2 + 2/15*k**5 - 2/9*k**3 + c*k + 3. Factor h(o).
2*o*(o - 1)*(o + 1)**2/3
Let b(u) be the second derivative of 2/45*u**5 + 1/9*u**4 - 1/63*u**7 + 0 + 30*u - 4/135*u**6 - 1/27*u**3 - 2/9*u**2. Suppose b(x) = 0. What is x?
-1, 2/3, 1
Let n(w) be the second derivative of w**6/630 + 2*w**5/105 + 5*w**3 + 4*w. Let c(z) be the second derivative of n(z). Factor c(v).
4*v*(v + 4)/7
Let f be (20/(-1))/(-2) - -3. Suppose 0 = 16*i - f*i - 12. Suppose 0 + 13/2*m**i - 1/2*m**2 + 5/2*m**5 + 9/2*m**3 - m = 0. What is m?
-1, 0, 2/5
Let s(n) be the second derivative of n**4/96 - n**3/48 - 3*n**2/8 - 16*n. Factor s(w).
(w - 3)*(w + 2)/8
Factor 0 + 2/11*q**3 - 12/11*q**2 + 18/11*q.
2*q*(q - 3)**2/11
Let x(c) = -c**2 - c. Let u(j) = j**2 - 7*j. Suppose -11*t = -10*t - 30. Let a(k) = t*x(k) - 5*u(k). Factor a(w).
-5*w*(7*w - 1)
Suppose -122/7*w**2 + 120/7*w - 2/7*w**5 - 22/7*w**3 + 200/7 + 18/7*w**4 = 0. Calculate w.
-2, -1, 2, 5
Let o = 515 - 515. Let i(r) be the third derivative of 0 - 9/140*r**5 + 1/56*r**6 + 1/8*r**4 - 1/490*r**7 + o*r - 1/7*r**3 - 7*r**2. Let i(m) = 0. Calculate m.
1, 2
Let k(o) = -15*o - 7. Let z be k(-5). Let b = -64 + z. Suppose 0*p**2 - 2/7 - 4/7*p**3 + 2/7*p**b + 4/7*p = 0. Calculate p.
-1, 1
Let w = -2006/91 + 320/13. Solve -2/7*q + w*q**5 + 12/7*q**2 - 16/7*q**3 - 12/7*q**4 + 0 = 0 for q.
-1, 0, 1/3, 1
Let l be 1 + 0 + (-295)/(-5)*1. Suppose -l = -3*u - 51. Factor 1/2*h**u + 1/3 - 2/3*h**2 - 1/6*h.
(h - 1)**2*(3*h + 2)/6
Let z = -2669/3 + 891. Let 0*t + z*t**4 - 8/3*t**2 + 0 - 4/3*t**3 = 0. Calculate t.
-1, 0, 2
Suppose -22 = 2*o - 30. Factor 2*v - v**3 - v**5 + 3*v**o + 0 + 12*v**2 + 0 - 15*v**2.
-v*(v - 2)*(v - 1)**2*(v + 1)
Let s be (-26)/(9/(-2) - -4). Let n be 4*2 - s/13. Factor -5*o - 7*o**5 - 2*o**5 - o - 5*o**2 - 22*o**2 - 33*o**n - 45*o**3.
-3*o*(o + 1)**3*(3*o + 2)
Let u be -3 - 17*28/(-164). Let w = u + 139/164. Find v, given that 11/4*v**3 - 3*v - w*v**4 - 3/2*v**2 + 2 = 0.
-1, 2/3, 2
Let d(q) be the third derivative of -q**7/105 + q**6/60 + 3*q**5/10 + 11*q**4/12 + 4*q**3/3 + 41*q**2. Factor d(p).
-2*(p - 4)*(p + 1)**3
Let o = 2055 + -2051. Let m(u) be the third derivative of 0*u + 0 + 7/20*u**5 + u**3 + 9/8*u**o + 4*u**2. Factor m(z).
3*(z + 1)*(7*z + 2)
Let t be 5 + (1/(-5))/(2/35). Let k(s) be the second derivative of 0 + 2*s - 1/4*s**3 - t*s**2 + 1/8*s**4. Let k(j) = 0. Calculate j.
-1, 2
Suppose m - 11 = -r, 2*r + 4*m = -r + 38. Suppose 6*f = 3*f + r. Factor -10/3*w**3 - 4/3*w + 14/3*w**f + 0.
-2*w*(w - 1)*(5*w - 2)/3
Let k(t) be the second derivative of -t**7/525 + t**6/150 - t**4/30 + t**3/15 - 9*t**2/2 + 6*t. Let y(o) be the first derivative of k(o). Factor y(q).
-2*(q - 1)**3*(q + 1)/5
Suppose m + 13 = -4*v, 4*v = m + v - 15. Suppose -12 + 15*r**3 - 3*r + 24*r**2 + r - m*r**2 - 22*r = 0. Calculate r.
-2, -2/5, 1
Let k be 6/39 + 197/(-13). Let h be (-1)/(-10) - ((-24)/k - 2). Find p, given that 3/4*p + 1/2*p**2 - h*p**3 - 3/4*p**4 - 1/4*p**5 + 1/4 = 0.
-1, 1
Let t(x) be the third derivative of -1/42*x**7 + 7*x**2 - 35/24*x**4 + 0 - 5*x - 3/4*x**5 - 5/24*x**6 - 5/3*x**3. Factor t(h).
-5*(h + 1)**3*(h + 2)
Let v be ((-18)/(-7))/(204/357). Let 15/4*w**2 - 39/4*w - v = 0. Calculate w.
-2/5, 3
Determine r so that -16/7*r**2 + 0 - 4/7*r**3 - 12/7*r = 0.
-3, -1, 0
Solve -23466 + 13718 - 868*b - 69246 - 15184 - 2*b**2 = 0 for b.
-217
Let p(c) be the third derivative of -c**6/540 + 2*c**5/135 + 4*c**4/27 - 64*c**3/27 + 6*c**2 - 5. Factor p(a).
-2*(a - 4)**2*(a + 4)/9
Let k(m) be the third derivative of m**6/120 - m**5/12 + m**4/6 - 2*m**2 - 45*m. Let k(a) = 0. What is a?
0, 1, 4
Suppose 32 + 94 = 63*r. Suppose -147/5 - 3/5*l**r + 42/5*l = 0. What is l?
7
Let l be 2 + (-112)/49 + (-127682)/532. Let v = 481/2 + l. Factor -2/19*n**4 - 2/19 + 0*n**3 + 0*n + v*n**2.
-2*(n - 1)**2*(n + 1)**2/19
Let b(w) = 23*w**3 - 155*w**2 + 87*w + 35. Let k(g) = -34*g**3 + 232*g**2 - 130*g - 52. Let x(j) = 8*b(j) + 5*k(j). Determine z so that x(z) = 0.
-2/7, 1, 5
Solve 94 + 152*t**2 + 152*t**2 - 302*t**2 + 96*t = 0.
-47, -1
Let y = -2043/5 - -409. Solve 0 - y*z + z**3 + 2/5*z**4 + 1/5*z**2 = 0 for z.
-2, -1, 0, 1/2
Let t(m) be the second derivative of m**6/270 - m**5/180 - 5*m**4/108 - m**3/18 - m + 16. Suppose t(j) = 0. What is j?
-1, 0, 3
Let p(b) be the second derivative of -3*b**5/100 - b**4/20 - b + 4. Determine v, given that p(v) = 0.
-1, 0
Let c(v) be the first derivative of -21*v**5/5 + 87*v**4/2 - 128*v**3 + 48*v**2 + 374. Factor c(r).
-3*r*(r - 4)**2*(7*r - 2)
Let f be ((-3)/(-24)*-2*0)/3. Let s be (-6)/(-21) + (-128)/(-42). Factor -s*q**2 - 2*q**3 - 2/3*q + f + 6*q**4.
2*q*(q - 1)*(3*q + 1)**2/3
Let r(z) be the first derivative of -z**5/30 - 2*z**4/9 - z**3/3 + 20*z - 7. Let h(s) be the first derivative of r(s). Factor h(q).
-2*q*(q + 1)*(q + 3)/3
Let u(a) be the third derivative of -a**9/12096 + a**8/2016 + a**7/336 - a**5/60 - 13*a**2. Let q(r) be the third derivative of u(r). Factor q(p).
-5*p*(p - 3)*(p + 1)
Let u be (-9)/12*-4 + -13 + 15. Let k(q) be the third derivative of -1/5*q**u + 2*q**2 + 0 + 0*q + 1/2*q**4 + 1/40*q**6 + 0*q**3. Suppose k(a)