v**3/3 - 58*v**2 + 202. Factor b(l).
-2*l*(l + 1)*(l + 2)*(l + 29)
Let d(s) = 55*s - 823. Let g be d(15). Suppose -2/5*h**g - 2/5*h**3 + 1/5*h + 1/5 + 1/5*h**5 + 1/5*h**4 = 0. Calculate h.
-1, 1
Let o = -11 + 13. Let -4*p**3 - 211*p - 12*p**2 + 15*p - 15*p**o - 29*p**2 = 0. What is p?
-7, 0
Let t(m) = 5*m - 93. Let c be t(19). Let s be ((-5)/3 - (-10)/(-30)) + c. Factor 2/9*f**4 - 2/9*f - 2/3*f**3 + s + 2/3*f**2.
2*f*(f - 1)**3/9
Let x(o) be the first derivative of o**4/8 + 29*o**3 + 2523*o**2 + 97556*o - 150. Find b such that x(b) = 0.
-58
Determine v, given that -3/2*v**3 + 5/2*v + 2/5*v**4 + 0*v**2 + 3/5 = 0.
-1, -1/4, 2, 3
Let y = 169 - 112. Let -3*w + 8*w**3 + 33*w**2 - y*w**2 - 56*w**3 = 0. What is w?
-1/4, 0
Let z be ((-32)/3)/(-2) - 4. Let a be 4/7*(-7)/(-6). Factor 0*s + s**5 - 1/3*s**3 + z*s**4 + 0 - a*s**2.
s**2*(s + 1)**2*(3*s - 2)/3
Let a(f) be the second derivative of -f**6/1800 + f**5/200 - f**4/60 + 11*f**3/6 - 9*f. Let l(g) be the second derivative of a(g). Factor l(d).
-(d - 2)*(d - 1)/5
Factor -8 + 10/3*z + 13/3*z**2 + 1/3*z**3.
(z - 1)*(z + 2)*(z + 12)/3
Factor -738*i - i**2 - 4*i**2 + 45387 - 13*i**2 + 21*i**2.
3*(i - 123)**2
Suppose -82 = 8*p - 122. Determine j, given that -3/2*j**p + 0*j**2 + 3/2*j**3 + 0*j**4 + 0*j + 0 = 0.
-1, 0, 1
Let a(l) be the first derivative of l**8/420 - l**7/70 + l**6/30 - l**5/30 - 3*l**3 - 3. Let w(b) be the third derivative of a(b). Let w(y) = 0. What is y?
0, 1
Let z(i) = i**3 - 8*i**2 + 13*i + 13. Let u be z(5). Let n(s) be the first derivative of 1/27*s**u + 4 + 0*s**2 + 0*s - 1/36*s**4. Factor n(c).
-c**2*(c - 1)/9
Let p(h) = 2*h**2 + 10*h + 26. Let m = -24 - -39. Let u = m + -9. Let v(i) = i + 1. Let s(w) = u*v(w) + p(w). Factor s(b).
2*(b + 4)**2
Factor 3144*h**2 + 34*h**4 + 4320*h + 28*h**4 - 144*h**2 + 30*h**4 + 792*h**3 + 24*h**2 + 4*h**5.
4*h*(h + 5)*(h + 6)**3
Let w(x) = 5*x**4 - 35*x**3 + 90*x**2 - 104*x + 40. Let m(u) = 5*u**4 - 35*u**3 + 90*u**2 - 105*u + 40. Let f(k) = 4*m(k) - 5*w(k). Factor f(y).
-5*(y - 2)**3*(y - 1)
Let z(u) be the first derivative of 10*u**2 + 8*u - u**4 - 4/5*u**5 + 4*u**3 + 22. Solve z(n) = 0.
-1, 2
Let r(q) be the first derivative of 16 - 3*q**2 - 8*q - 28 - 7*q**2 - 4*q**3. Let r(y) = 0. What is y?
-1, -2/3
Let f(n) = -n**2 + 5*n - 16. Let b be f(7). Let z = b - -91/3. Factor 1/3*v**2 + 1/3*v**3 - 1/3*v - z.
(v - 1)*(v + 1)**2/3
Suppose -389*h + 387*h - 10 = 0. Let j be (h/40)/(1/(-4)). Suppose 1/2*a**5 - j*a**3 + 0 - a**2 + a**4 + 0*a = 0. Calculate a.
-2, -1, 0, 1
Let p be -27*1*(-20)/30. Factor p*m**2 - 39/4*m**3 - 27/4*m - 3/2.
-3*(m - 1)**2*(13*m + 2)/4
Let x = 1377 + -1377. Let t(s) be the second derivative of 6*s - 2/15*s**3 - 6/35*s**7 + 2/25*s**5 + x*s**2 + 8/25*s**6 - 4/15*s**4 + 0. Solve t(c) = 0.
-1/3, 0, 1
Factor 1/2*l**4 + 4*l - 2 - 3/2*l**2 - l**3.
(l - 2)*(l - 1)**2*(l + 2)/2
Let x(h) = h**3 + 5*h**2 + 6*h + 5. Let o be x(-3). Let i be (-2 + o)*(-5)/(-3). Factor -15*s - 1 + 12*s**3 - 4*s**i + s**5 + 6*s**2 + 7 - 12*s**4 + 6*s**5.
3*(s - 2)*(s - 1)**3*(s + 1)
Let l be -12 + 155*7/90. Let x(o) be the second derivative of 1/18*o**3 - l*o**4 + 0 - 12*o - 1/60*o**5 + 1/3*o**2. Find q, given that x(q) = 0.
-2, -1, 1
Let b(l) be the second derivative of 0 + 0*l**4 - 9/2*l**2 + 2*l + 0*l**3 + 1/420*l**6 + 1/105*l**5. Let x(g) be the first derivative of b(g). Factor x(a).
2*a**2*(a + 2)/7
Let q(u) be the third derivative of u**11/66528 + u**10/15120 + u**9/12096 + 9*u**5/20 - 10*u**2. Let h(g) be the third derivative of q(g). Factor h(x).
5*x**3*(x + 1)**2
Let k be (-8775)/(-2223) + 2/38. Solve -2/7*a**5 + 2/7 + 2/7*a**k + 4/7*a**3 - 4/7*a**2 - 2/7*a = 0 for a.
-1, 1
Factor -6*n**3 - 26/3*n**4 + 0*n + 8/3*n**2 + 0.
-2*n**2*(n + 1)*(13*n - 4)/3
Let a(z) be the first derivative of 1/90*z**6 + 1/3*z**4 + 4/9*z**3 + 0*z**2 - 3*z + 1/10*z**5 + 5. Let v(f) be the first derivative of a(f). Factor v(c).
c*(c + 2)**3/3
Factor -25076/19*n**3 + 454/19*n**4 - 2/19*n**5 - 78890/19*n - 26450/19 - 77972/19*n**2.
-2*(n - 115)**2*(n + 1)**3/19
Factor 34/7*m - 2/7*m**2 + 36/7.
-2*(m - 18)*(m + 1)/7
Let n(z) be the second derivative of -33*z**5/100 + 9*z**4/20 + z**3/5 + 5*z - 42. Find s such that n(s) = 0.
-2/11, 0, 1
Suppose 83*d = 94*d - 33. Determine z, given that -4/11*z - 2/11*z**d + 0 + 6/11*z**2 = 0.
0, 1, 2
Let i(m) = -7*m**2 + 168*m - 7050. Let d(p) = 9*p**2 - 168*p + 7048. Let w(l) = -3*d(l) - 4*i(l). Factor w(b).
(b - 84)**2
Factor -2/17*g**3 - 48600/17*g - 1458000/17 - 540/17*g**2.
-2*(g + 90)**3/17
Factor -3*m**3 - 24*m**2 + 19681*m - 19681*m.
-3*m**2*(m + 8)
Let g(v) be the third derivative of -7*v**5/450 + 53*v**4/45 - 4*v**3/3 - 5*v**2 + 16*v. Let g(h) = 0. What is h?
2/7, 30
Suppose 57/5*u**2 + 0 + 72/5*u - 18/5*u**3 - 3/5*u**4 = 0. What is u?
-8, -1, 0, 3
Let i(k) be the third derivative of 15*k**8/14 - 2*k**7/7 - 143*k**6/12 - 89*k**5/12 + 1085*k**4/24 + 245*k**3/3 + 148*k**2. Let i(x) = 0. Calculate x.
-7/6, -1/2, 1, 2
Suppose -r = 2*r. Let h be ((r/(-4))/(-2))/1. Factor -3*z**3 + 2*z**3 + h*z**4 + z**4.
z**3*(z - 1)
Let w = 5 + -1. Suppose -8 = 8*c - w*c. Let n(f) = 4*f**2 - 2*f - 2. Let y(u) = -5*u**2 + 3*u + 2. Let h(m) = c*y(m) - 3*n(m). Determine a so that h(a) = 0.
-1, 1
Let t(z) = -25*z - 8 - 28*z + 4*z**2 + 62*z - 3*z**2. Let p be t(-10). Factor 2*m - 4*m + 4*m - m**p - m.
-m*(m - 1)
Let p(o) be the first derivative of 4*o**6/11 + 94*o**5/11 + 661*o**4/11 + 3368*o**3/33 + 666*o**2/11 + 162*o/11 + 236. Suppose p(a) = 0. Calculate a.
-9, -1, -1/3, -1/4
Let f(m) be the third derivative of m**7/1155 + m**6/110 - 2*m**5/11 + 34*m**4/33 - 32*m**3/11 - 4*m**2 + 32. Factor f(i).
2*(i - 2)**3*(i + 12)/11
Let c(t) be the first derivative of -t**8/252 - 4*t**7/315 - t**6/90 + 3*t**2 - 12. Let r(m) be the second derivative of c(m). Factor r(d).
-4*d**3*(d + 1)**2/3
Let s(f) be the third derivative of -f**6/720 + f**5/90 + f**4/48 + 7*f**3/2 + 14*f**2. Let d(p) be the first derivative of s(p). Factor d(y).
-(y - 3)*(3*y + 1)/6
Factor -2/7*o**5 - 11600/7*o**3 + 27360*o**2 - 90720*o + 260/7*o**4 + 84672.
-2*(o - 42)**3*(o - 2)**2/7
Let p(k) be the second derivative of 0 + 3/20*k**4 - 3/5*k**2 + 1/10*k**3 - 3/100*k**5 - 20*k - 1/50*k**6. Suppose p(s) = 0. Calculate s.
-2, -1, 1
Suppose 3*r - 113 = 28. Suppose 3*j + 5*f - r = -3, -2*f = -j + 22. Factor j*b**2 + 8 - 24*b - b**3 - 7*b**3 + 4*b**3.
-2*(b - 2)**2*(2*b - 1)
Let p(d) be the second derivative of d**5/110 - 2*d**4/33 + d**3/33 + 6*d**2/11 + 73*d. Factor p(c).
2*(c - 3)*(c - 2)*(c + 1)/11
Suppose 41*k - 95 = 22*k. Let 8/3*v**3 - 13/3*v**2 - 2/3*v**k + v**4 + 4/3 + 0*v = 0. Calculate v.
-2, -1/2, 1, 2
Suppose 6 = q - 3*y, 4*q - 4*y = -5*y + 37. Suppose 0 = q*u - 5*u - 72. Factor j**3 + 9*j**5 + 11*j**3 - 2*j**2 - j**5 - u*j**4.
2*j**2*(j - 1)**2*(4*j - 1)
Let i(r) = -r**2 + 1 - r**3 + 3 - 1 + r - 4. Let o(b) = 2*b + 4. Let u be o(7). Let d(a) = -8*a**3 - 10*a**2 + 9*a - 9. Let x(s) = u*i(s) - 2*d(s). Factor x(v).
-2*v**2*(v - 1)
Factor -2/7*p**2 + 8/7*p + 8/7 - 2/7*p**3.
-2*(p - 2)*(p + 1)*(p + 2)/7
Let u(m) be the first derivative of -11/19*m**2 + 1/38*m**4 - 12/19*m - 8/57*m**3 + 5. Suppose u(h) = 0. Calculate h.
-1, 6
Factor -163*g**2 - 439 - 3*g**4 - 116*g**2 + 349 - 99*g**3 - 273*g.
-3*(g + 1)**3*(g + 30)
Let l(p) be the first derivative of 2*p**2 - 4*p**4 - 6/5*p**5 - 2*p**3 + 0*p + 7. Factor l(q).
-2*q*(q + 1)*(q + 2)*(3*q - 1)
Let a be 8 + 2149/(-280) - 3/72*3. Suppose 1/5*v**3 + 6/5 - 6/5*v**2 - a*v = 0. What is v?
-1, 1, 6
Let d(w) be the first derivative of -2*w**3/3 + w**2 + 84*w + 164. Factor d(k).
-2*(k - 7)*(k + 6)
Let s be 1/(-2) - 3/(-6). Let c(u) = 6*u**2 - 4*u + 2. Let t be c(1). Suppose 0*y + 1/3*y**3 - 1/3*y**t + s*y**2 + 0 = 0. Calculate y.
0, 1
Let o(w) be the third derivative of -1/12*w**4 + 0*w**5 + 1/60*w**6 + 0*w + 0 + 0*w**3 + 3*w**2. Factor o(s).
2*s*(s - 1)*(s + 1)
Let q(a) be the first derivative of 4*a**3/3 - 188*a**2 - 380*a + 294. Suppose q(m) = 0. Calculate m.
-1, 95
Let o(j) = -j**2 + 7*j + 20. Suppose -7 + 16 = u. Let x be o(u). Factor 20*c - 14*c**2 - 13*c**2 + 3*c**3 + x*c**3 + 7*c**2.
5*c*(c - 2)**2
Let k(x) = x**4 - 1. Let j = 68 - 83. Let l(o) = -2*o**4 + 5*o**3 + 3*o**2 - 5*o - 1. Let c(b) = j*k(b) - 5*l(b). Factor c(s).
-5*(s - 1)*(s + 1)**2*(s +