21 + 25*p**6/24 - 5*p**5/6 - 65*p**4/6 - 20*p**3 - 1922*p**2. Determine w so that g(w) = 0.
-2, -1, -2/3, 2, 3
Suppose -m + t = 4*t + 154, 2*t - 154 = m. Let z be (4/(-22))/(14/m). What is b in -5*b**2 - 1669*b + 2*b**z + 1672*b = 0?
0, 1
Let d = 460 - -121. Let r = d - 1727/3. Factor 2/3*u**2 + 4*u + r.
2*(u + 2)*(u + 4)/3
Factor -128/15 - 1058/15*w**4 - 448/5*w + 1288/5*w**3 - 2792/15*w**2.
-2*(w - 2)**2*(23*w + 4)**2/15
Let t(u) be the first derivative of 16*u**2 + 1/40*u**6 + 0*u - 1/4*u**4 + 18 + 1/20*u**5 + 0*u**3. Let l(c) be the second derivative of t(c). Factor l(b).
3*b*(b - 1)*(b + 2)
Let y(v) be the second derivative of 5*v + 75*v**3 + 5/12*v**4 + 10125/2*v**2 + 0. Factor y(m).
5*(m + 45)**2
Suppose 16*u = 17*u + 2. Let l be 0/(u/4*(2 - 4)). Factor l*f**2 + 0 + 0*f - 2/3*f**3 + 2/3*f**4.
2*f**3*(f - 1)/3
Let v(i) be the third derivative of 25*i**8/336 + 23*i**7/42 + 5*i**6/24 - 17*i**5/4 + 15*i**4/4 - 211*i**2 - i. Find u such that v(u) = 0.
-3, 0, 2/5, 1
Let c(s) be the first derivative of 15/2*s**2 + 4*s - 156 - 4/3*s**3. Suppose c(b) = 0. Calculate b.
-1/4, 4
Let 144*x + 298*x**2 + 230*x - 756 - 296*x**2 = 0. Calculate x.
-189, 2
Let x(v) be the third derivative of -7*v**8/48 - 8*v**7/3 + 71*v**6/5 - 208*v**5/15 + 14*v**4/3 - 46*v**2 - 10. Find t such that x(t) = 0.
-14, 0, 2/7, 2
Find i such that 3/4*i**5 - 3/4*i**3 - 33/4*i**4 + 33/4*i**2 + 0 + 0*i = 0.
-1, 0, 1, 11
Let l(x) be the first derivative of -x**6/3960 + 7*x**5/1320 - 10*x**3 - 74. Let i(q) be the third derivative of l(q). Solve i(p) = 0 for p.
0, 7
Let o(n) be the first derivative of 1/2*n**2 - 223 + 1/20*n**5 + 1/2*n**3 - 5/16*n**4 - 2*n. Determine c so that o(c) = 0.
-1, 2
Let h(t) be the third derivative of t**8/1512 + 4*t**7/945 - 19*t**6/270 + 2*t**5/9 - t**4/4 + 152*t**2. Let h(x) = 0. Calculate x.
-9, 0, 1, 3
Let b(l) be the second derivative of 36*l**2 + 1/5*l**6 - 19/2*l**4 + 0 - 105*l - 3/4*l**5 - 14*l**3. Determine c, given that b(c) = 0.
-2, 1/2, 6
Let b(y) = -9*y**4 - 4*y**3 + 13*y**2 - 7*y - 14. Let l(p) = p**4 - p**2 + p + 2. Let c(r) = b(r) + 7*l(r). Factor c(a).
-2*a**2*(a - 1)*(a + 3)
Let r(n) = -n**2 - n + 2. Let w(d) = -2*d**2 - 2*d + 5. Let s(k) = -5*r(k) + 2*w(k). Let t be s(-2). Factor 0*u**2 + 25*u**t - 4*u - 5*u**3 + 15 - 31*u.
-5*(u - 3)*(u - 1)**2
Let f be (12/(-14))/(16/(-56) + (-2)/(-10)). Let q(c) be the first derivative of -f + 0*c**2 - 1/6*c**4 + 2/45*c**5 + 0*c + 4/27*c**3. Factor q(k).
2*k**2*(k - 2)*(k - 1)/9
Let c(l) = -l**2 + 7*l + 100. Let f be c(-7). Let 9*o**3 - 4*o**3 + 4*o**f + 2*o**2 - o**2 = 0. What is o?
-1, 0
Suppose 3/4*p**2 + 51/2*p - 54 = 0. What is p?
-36, 2
Suppose 3*g + s - 3*s = 10, -4*s = 2*g + 4. Factor -9*y**g + 49*y**2 - 6*y**3 - 208 - 46*y + 55 + 65 + 68.
-2*(y - 5)*(y - 2)*(3*y + 1)
Let m be (-63 + (-3402)/(-54))/((0 - -5) + -2). Factor 0*l + m - 1/2*l**2.
-l**2/2
Let p(z) be the second derivative of -3/2*z**5 - 84*z + 0 - 1/6*z**6 - 25/3*z**3 - 5*z**4 - 15/2*z**2. Factor p(w).
-5*(w + 1)**3*(w + 3)
Let c = -42904/7 - -214527/35. Factor 0 + c*p**2 - 4/5*p.
p*(p - 4)/5
Let v = -620/111 + 7004/777. What is t in -26/7*t**2 - 12/7*t**3 - 2/7*t**4 - 8/7 - v*t = 0?
-2, -1
Let k be 2 + 1 + -7 + (-33240)/(-8308). Let w = k - -93461/4154. Factor 75/2*l + 5/2*l**3 + 125/2 - w*l**2.
5*(l - 5)**2*(l + 1)/2
Solve -124*q**2 + 451*q**2 + 2046*q - 1410*q - 36 = 0.
-2, 6/109
Let o(t) = t. Suppose 12 = 3*x - 6*x. Let y(u) = -3*u**2 + 8 + 6*u**2 + 75*u - 67*u - 3*u**2 + 4*u**2. Let m(g) = x*o(g) - y(g). Find j, given that m(j) = 0.
-2, -1
Let a(f) = -7*f**3 - 133*f**2 - 826*f - 18. Let o(u) = 8*u**3 + 132*u**2 + 824*u + 24. Let i(g) = -4*a(g) - 3*o(g). Factor i(h).
4*h*(h + 8)*(h + 26)
Let y(i) be the first derivative of i**6/60 - 47*i**5/120 + 11*i**4/4 + 3*i**3 + 13*i**2/2 + 3*i + 57. Let t(u) be the second derivative of y(u). Factor t(s).
(s - 6)**2*(4*s + 1)/2
Let b be (-3)/3*3/(-9). Let q(g) be the second derivative of 0 - 4/7*g**2 + b*g**3 + 23*g - 1/21*g**4 - 1/70*g**5. Factor q(j).
-2*(j - 1)**2*(j + 4)/7
Let i(d) = -2*d**3 - 936*d**2 - 3792*d - 3790. Let y(c) = 4*c**3 + 934*c**2 + 3796*c + 3789. Let b(z) = -3*i(z) - 2*y(z). Determine f, given that b(f) = 0.
-2, 474
Suppose -1664*y**2 + 644 + 148*y**3 - 4*y**4 + 653 + 5120*y - 1297 = 0. What is y?
0, 5, 16
Let d = -120 - -70. Let n be (-25)/(-3)*(-60)/d. Factor 2*w**3 - 49*w + n*w**3 + 18*w**4 - 2 - 16*w**2 + 37*w.
2*(w - 1)*(w + 1)*(3*w + 1)**2
Let l(j) be the second derivative of -j**7/42 - 53*j**6/30 - 153*j**5/20 - 151*j**4/12 - 25*j**3/3 + 5010*j. Factor l(g).
-g*(g + 1)**3*(g + 50)
Let p(g) be the second derivative of -81*g**5/25 - 321*g**4 - 4256*g**3/15 - 472*g**2/5 - 1766*g. Let p(f) = 0. What is f?
-59, -2/9
Suppose -4 + 8 = 3*s - o, -2*s + 7*o = 29. Solve 25*j + 40/3 - 5/3*j**s + 10*j**2 = 0.
-1, 8
Let t(y) be the first derivative of 3/2*y**3 - 3*y**2 - 84 - 3/20*y**5 + 9/16*y**4 + 0*y. Factor t(f).
-3*f*(f - 4)*(f - 1)*(f + 2)/4
Let p(w) be the third derivative of 7*w**2 + 0 + 1/48*w**4 + 0*w + 1/120*w**5 + 0*w**3. Factor p(j).
j*(j + 1)/2
Let s = 80 - 83. Let a(m) = -9*m - 23. Let o be a(s). Factor 10*w**3 - o*w + 7*w**2 - 5*w**4 - 3*w - 2*w**2 - 3*w.
-5*w*(w - 2)*(w - 1)*(w + 1)
Let b = -1455940/21 - -485430/7. Solve 20/3*g + b + 2/3*g**2 = 0 for g.
-5
Let a be (0/45)/(28/8 - 2/4). Let q(u) be the third derivative of 34*u**2 - 1/10*u**5 + u**3 + 0 - 1/12*u**4 + a*u + 1/60*u**6. Find b such that q(b) = 0.
-1, 1, 3
Suppose -382*z + 99 + 698 = -349. Let o(i) be the first derivative of -15 + 4/3*i**6 + 0*i**z + 0*i**2 - 4/5*i**5 - i**4 + 0*i. Factor o(y).
4*y**3*(y - 1)*(2*y + 1)
Let d(j) be the third derivative of -j**8/840 + 31*j**7/525 - 253*j**6/300 + 11*j**5/10 + 15*j**4/2 - 536*j**2. Suppose d(m) = 0. What is m?
-1, 0, 2, 15
What is i in -79/3*i**2 + 235/3*i + 2 = 0?
-2/79, 3
Let f(q) = q**3 + 7*q**2 + 4*q - 6. Let u be f(-6). Let v(n) = -333*n + 2334. Let d be v(7). Factor 2 + 0*b**2 + 16*b**2 + 24*b**d - 20*b + u - 28*b**3.
-4*(b - 2)*(b - 1)**2
Let b(w) be the first derivative of -w**3/15 - 19*w**2/5 + 39*w/5 + 2801. Factor b(g).
-(g - 1)*(g + 39)/5
Let y(r) be the second derivative of 1/120*r**6 - 45*r + 1/16*r**5 + 0*r**4 - 2*r**2 - 5/6*r**3 + 0. Determine d, given that y(d) = 0.
-4, -2, -1, 2
Suppose -17221*m + 18188*m = 0. Factor 2/3*t**2 + m + 3/4*t - 1/12*t**3.
-t*(t - 9)*(t + 1)/12
Let y be (-234)/2772*(-120)/1. Let v = y - 102/11. Let 15/7*s**2 + v*s - 9/7*s**3 + 0 = 0. Calculate s.
-1/3, 0, 2
Factor 680*s - 173400 - 2/3*s**2.
-2*(s - 510)**2/3
Factor 145*m**4 + 430*m**4 - 30666*m**5 + 30686*m**5 - 145*m**3.
5*m**3*(m + 29)*(4*m - 1)
Let h(b) be the second derivative of -b**6/200 + 127*b**5/200 - 21*b**4/20 - 51*b**3/2 + 8*b + 3. Let o(j) be the second derivative of h(j). Factor o(n).
-3*(n - 42)*(3*n - 1)/5
Let h = -1025655 + 1025657. Find b such that 0 - 5/6*b**4 + 10/3*b - 5/2*b**3 + 0*b**h = 0.
-2, 0, 1
What is s in 31/4 + 15/2*s**3 + 1/4*s**4 - 8*s**2 - 15/2*s = 0?
-31, -1, 1
Let u(p) be the second derivative of -29*p + 0*p**3 + 1/12*p**5 + 2*p**2 + 0 - 35/24*p**4. Let i(g) be the first derivative of u(g). Factor i(w).
5*w*(w - 7)
Determine t so that 2/9*t**4 + 40/9*t + 4*t**3 + 0 - 26/3*t**2 = 0.
-20, 0, 1
Let k(c) be the third derivative of -c**5/15 - 13*c**4/6 - 8*c**3 - 1109*c**2. Solve k(y) = 0 for y.
-12, -1
Suppose 62*k + j - 7 = 60*k, 4*j = 4*k + 4. Factor -4/15 + 2/15*i**4 - 2/5*i**k - 2/3*i + 2/15*i**3.
2*(i - 2)*(i + 1)**3/15
Solve 7225/4 + 1/4*f**2 - 85/2*f = 0 for f.
85
Let k(n) be the third derivative of -n**7/4200 - 7*n**6/900 - n**5/10 - 3*n**4/5 + 7*n**3/2 + 98*n**2. Let w(m) be the first derivative of k(m). Factor w(i).
-(i + 2)*(i + 6)**2/5
Let g = 57639 + -57639. Find l, given that 1/5*l**3 + 0 + g*l - 1/5*l**2 = 0.
0, 1
Let c(q) = -4*q**3 - 446*q**2 - 20*q + 434. Let g(h) = 13*h**3 + 1339*h**2 + 63*h - 1301. Let x(p) = 19*c(p) + 6*g(p). Factor x(i).
2*(i - 220)*(i - 1)*(i + 1)
Let l be 2/36*69 + -1 - 13/(-78). Suppose 3*y + 21/5*y**l - 27/5*y**2 - 6/5*y**4 - 3/5 = 0. What is y?
1/2, 1
Suppose -4*b + 15 = t, -14*t = -13*t + 3*b - 12. What is a in 87*a**t - 9 - 36*a**4 - 60*a**2 + a + 2 + 13 + 2*a = 0?
-1/4, 2/3, 1
Let i(j) be the second derivative of 14*j + 0 + 1/20*j**5 + 1/8*j**4 + 0*j**3 + 9/2*j**2. Let u(z) b