 + 25/2*z**5 - 86*z**2 = 0.
0, 2/5, 43
Solve 3*i**2 - 12/5 + 9/5*i**3 - 12/5*i = 0.
-2, -2/3, 1
Let l(p) be the second derivative of -p**4/48 + 13*p**3/8 - 27*p**2/2 + 303*p. Find z such that l(z) = 0.
3, 36
Let a = -214 + 198. Let g be (-154)/294 + a/(-24). Factor -1/7*m**2 + 6/7 + g*m.
-(m - 3)*(m + 2)/7
Let m(g) be the second derivative of 0 - 1/8*g**4 - 1/120*g**6 + 17/6*g**3 - 8*g - 1/20*g**5 + 0*g**2. Let n(x) be the second derivative of m(x). Factor n(h).
-3*(h + 1)**2
Suppose -252 = 13*d + d. Let f(m) = m**2 + 16*m - 34. Let y be f(d). Let 5*o**2 + 5*o - 2*o**y + 5*o - 4*o = 0. Calculate o.
-2, 0
Suppose 0 = -25*z + 107 - 7. Let h(q) be the third derivative of -1/12*q**6 + 0*q**3 + 0*q - 8*q**2 - 5/336*q**8 + 1/14*q**7 + 0*q**z + 0 + 0*q**5. Factor h(o).
-5*o**3*(o - 2)*(o - 1)
Let r be 1489/8 - (32/4)/(-64). Let l = 190 - r. Find z, given that l*z**2 - 5/4*z**3 - 15/4*z**4 + 5/4*z + 0 = 0.
-1, -1/3, 0, 1
Let a(u) = 14*u**3 - 42*u**2 - 8*u + 21. Let s(l) = 13*l**3 - 42*l**2 - 8*l + 14. Let n(j) = 4*a(j) - 6*s(j). Factor n(o).
-2*o*(o - 4)*(11*o + 2)
Let p(s) be the first derivative of -3*s**5/5 - 143*s**4/4 - 1078*s**3/3 - 1264*s**2 - 1248*s - 5483. Let p(v) = 0. What is v?
-39, -4, -2/3
Let o be 1731*(-10)/(-10) - 3. Determine w so that -42*w**4 - 361*w**3 - 137*w**5 + 8*w**4 + 3024*w + 136*w**5 - o - 900*w**2 = 0.
-12, 1
Let m(w) = -30*w**4 + 90*w**3 - 50*w**2 - 4*w + 2. Let d(s) = 60*s**4 - 181*s**3 + 98*s**2 + 8*s - 5. Let i(g) = -2*d(g) - 5*m(g). Find u such that i(u) = 0.
-1/15, 0, 1, 2
Let g = -118 + 126. Let o be ((-6)/g)/((-7)/28). Factor -10/11*r + 4/11*r**o + 6/11*r**2 - 12/11.
2*(r + 1)*(r + 2)*(2*r - 3)/11
Let g(b) be the third derivative of -2*b**7/315 + 13*b**6/18 - 997*b**5/180 + 215*b**4/12 - 61*b**3/2 + 1740*b**2 + 1. Suppose g(y) = 0. Calculate y.
1, 3/2, 61
Factor -352/9*u**2 + 0 + 0*u + 2/9*u**3.
2*u**2*(u - 176)/9
Let f(h) be the second derivative of -5*h**7/14 - 86*h**6/3 + 239*h**5/2 - 160*h**4/3 - 2375*h**3/6 + 750*h**2 - 3506*h. Let f(a) = 0. Calculate a.
-60, -1, 1, 5/3
Let v(t) = -3*t**3 + 47*t**2 - 110*t - 12. Let l be v(3). Factor 3/7*x**3 - 24/7*x + l - 6/7*x**2.
3*x*(x - 4)*(x + 2)/7
Factor 397/8*x - 199/4*x**3 - 197/8*x**4 + 1/8*x**5 - 1/4*x**2 + 199/8.
(x - 199)*(x - 1)*(x + 1)**3/8
Let u = -8530 + 8543. Let d(j) be the first derivative of u - 8/3*j**2 - 8/9*j - 22/27*j**3. Determine l, given that d(l) = 0.
-2, -2/11
Factor 85/3*x**3 + 1/3*x - 86/3*x**2 + 0.
x*(x - 1)*(85*x - 1)/3
Let b(v) = 2*v**3 + 4*v**2 - 16*v - 25. Let m be b(-9). Let t = -1015 - m. What is j in 0 + t*j - 3/5*j**2 = 0?
0
Factor -229*l**3 - 29*l**3 + 5*l**4 + 18*l**3.
5*l**3*(l - 48)
Suppose -10930 - 2400*t + 211206 + 4*t**2 + 159724 = 0. Calculate t.
300
Let r = 138 - 108. Let u = 33 - r. Find g, given that -7*g - 17*g + u*g**2 - 7*g**2 - 32 = 0.
-4, -2
Let p(s) be the first derivative of -2*s**6/15 - 14*s**5/5 - 20*s**4 - 48*s**3 - 90*s - 45. Let f(l) be the first derivative of p(l). Factor f(t).
-4*t*(t + 2)*(t + 6)**2
Suppose 13*m = 71 - 19. Factor 31*n**3 + 30*n**2 + 30*n**3 - 6*n**m + 4*n - 7*n**3 - 31*n - 3*n**3.
-3*n*(n - 9)*(n + 1)*(2*n - 1)
Let b be (2/1)/(-3 + 119/35). Suppose 0 = -5*a + 3*u + 45, a - 7 - 2 = b*u. Factor 2*m + m**2 - 5*m + a*m + m**4 - 4*m**3.
m*(m - 3)*(m - 2)*(m + 1)
Let v be ((-243089)/(-75768))/(2/12). Solve -1/4*q**3 + 49/2 - v*q + 4*q**2 = 0.
2, 7
Let r(w) = -1369*w**3 - 100*w**2 - 4*w - 8. Let d(q) = -6*q**2 + 1. Let i(f) = -24*d(f) - 3*r(f). Factor i(g).
3*g*(37*g + 2)**2
Factor -376/11*b - 1/11*b**2 - 375/11.
-(b + 1)*(b + 375)/11
Let n be 1/1*(-41 + (-15714)/(-378)). Factor -n*q**4 + 0 - 4/7*q + 4/7*q**2 + 4/7*q**3.
-4*q*(q - 1)**2*(q + 1)/7
Let g(u) be the first derivative of u**6/9 - 91*u**5/15 + 31*u**4/3 + 349*u**3/9 + 22*u**2 + 274. Let g(h) = 0. What is h?
-1, -1/2, 0, 3, 44
Factor -5623 + 3015 + 3298 - 3*f**2 - 123*f.
-3*(f - 5)*(f + 46)
Let t(r) be the third derivative of -r**5/12 + 15*r**4/4 + 220*r**3/3 + 5005*r**2. Factor t(m).
-5*(m - 22)*(m + 4)
Let y be 785*1 - (12 + -16). Factor y*k + 4*k**3 + 3533*k + 2026*k + 48668 - 79*k**2 + 355*k**2.
4*(k + 23)**3
Let w(a) be the third derivative of 10*a**2 - 1 - 1/3*a**3 + 0*a + 1/5*a**5 - 5/12*a**4. Factor w(k).
2*(k - 1)*(6*k + 1)
Factor 8*i + 5/3*i**2 + 1/9*i**3 + 12.
(i + 3)*(i + 6)**2/9
Let p(m) be the third derivative of 0*m + 1/66*m**5 + 4/33*m**4 + 1/11*m**3 + 3 + 13*m**2. Factor p(w).
2*(w + 3)*(5*w + 1)/11
Let i(s) = s**2 + 3*s - 1. Let m be i(-4). Let x be (53/159)/(((-10)/12)/(-5)). Factor 4*k + x*k**2 - 5*k + 0*k - m*k.
2*k*(k - 2)
Let p = 17 + -17. Let y = p - -3. Factor 0*i**3 - 4*i**2 + 3*i**y + i**3 + 2*i**4 - 1 - 2*i - 2*i**5 + 3.
-2*(i - 1)**3*(i + 1)**2
Let x(h) be the first derivative of h**4/22 + 16*h**3/11 + 4*h**2 - 1546. Factor x(k).
2*k*(k + 2)*(k + 22)/11
Factor -11910*v + 4*v**3 + 1944*v**2 - 13043*v + 17712 + 13181*v.
4*(v - 3)**2*(v + 492)
Factor -3644/13 + 3646/13*b - 2/13*b**2.
-2*(b - 1822)*(b - 1)/13
Suppose -2*s - 1 = -3*s, -2*y = -2*s + 144. Let i = y - -73. Let -12 + 16*k**i - 2*k**2 - 3*k - 2*k**2 + 3*k**3 = 0. What is k?
-4, -1, 1
Suppose 258*f = -292*f + 24*f + 1052. Solve 2/7*d**3 - 8/7*d + 16/7 - 4/7*d**f = 0 for d.
-2, 2
Let p = 17 + -40. Let s = -13 - p. Determine c so that -36*c + 18*c**2 - 6*c**2 - 2 + s + 16*c**3 = 0.
-2, 1/4, 1
Let l(u) = -80*u**3 + 336*u**2 - 2498*u - 10858. Let w(x) = 17*x**3 - 67*x**2 + 500*x + 2172. Let k(v) = -6*l(v) - 28*w(v). Find y, given that k(y) = 0.
-3, 19
Let u(y) be the first derivative of y**5/35 + 10*y**4/7 - 127*y**3/21 + 43*y**2/7 + 1649. Factor u(a).
a*(a - 2)*(a - 1)*(a + 43)/7
Let x(h) = 4*h + 41. Let o be x(-10). Let r(p) = -2*p**2 + 1 + 157*p - 158*p + p**2. Let u(w) = -4*w**2 - w + 8. Let q(m) = o*u(m) - 5*r(m). Factor q(b).
(b + 1)*(b + 3)
Suppose -2*c + 22 = 5*f, 2681 = f + c + 2673. Factor 5/3*k**3 + 5/3*k - 10/3*k**f + 0.
5*k*(k - 1)**2/3
Let t(d) be the third derivative of -d**7/945 + d**6/90 + 7*d**5/270 + 117*d**2 + 2. Determine r so that t(r) = 0.
-1, 0, 7
Factor -257 - m**3 + 10496*m**2 - 31781*m**2 + 513*m + 10495*m**2 + 10535*m**2.
-(m - 1)**2*(m + 257)
Let s = 178 - 144. Suppose -20 + 58*j**2 - 28*j**2 - s*j**2 - 22*j - 2*j = 0. Calculate j.
-5, -1
Suppose 3 = -6*d + 15. Factor d - 45*i + 48 - 887*i**2 + 882*i**2.
-5*(i - 1)*(i + 10)
Suppose a - 21 = -19*a + 179. Factor -576/7*p + a*p**2 - 2/7*p**3 - 648/7.
-2*(p - 18)**2*(p + 1)/7
Let i(w) be the second derivative of 3*w**5/20 + w**4/4 - 105*w**3 - 2*w + 92. Factor i(k).
3*k*(k - 14)*(k + 15)
Let j(z) be the first derivative of 2/3*z**3 - 3/7*z**2 + 47 + 0*z + 2/35*z**5 - 5/14*z**4. Factor j(p).
2*p*(p - 3)*(p - 1)**2/7
Let h be 8 - -14*12/(-42). Factor -8*k - 7*k**4 - 21*k**2 + 3*k**h + k**2 - 16*k**3.
-4*k*(k + 1)**2*(k + 2)
Let l(c) be the third derivative of -13*c + 5/12*c**4 + 0 - 1/12*c**5 + 2*c**2 - 5/6*c**3. Find j, given that l(j) = 0.
1
Let f(c) be the third derivative of c**6/48 - c**5/8 - 25*c**4/24 + 10*c**3 - 3*c**2 - 26. Factor f(d).
5*(d - 4)*(d - 2)*(d + 3)/2
Let b be ((-240)/(11 - -9))/(-4). Let v(m) be the second derivative of 3/4*m**b + 1/24*m**4 + 34*m + 0*m**2 + 0. Factor v(k).
k*(k + 9)/2
Let d(u) = 6*u + 34. Let j be d(-5). Let p = -20 - -22. Solve g**3 - g**5 - 88*g + 88*g - 2*g**j + p*g**2 = 0 for g.
-2, -1, 0, 1
Let y be 24*11/704 - 1242/240 - -8. Factor -y - 1/5*b**2 - 2*b.
-(b + 2)*(b + 8)/5
Let f = -2 + 6. Let t be -1*4/8*(-712)/623. Factor 0*g**2 + 2/7*g**f - 4/7*g + t*g**3 - 2/7.
2*(g - 1)*(g + 1)**3/7
Let y = 1537 + -1533. Suppose 2*m = 2, 4*m - 5 = -4*p + 19. Factor 12*v**3 + 110*v**4 + v**2 - 98*v**y + 3*v**2 + 4*v**p.
4*v**2*(v + 1)**3
Let h(d) = -6*d**2 + 35*d - 286. Let l(i) = i**2 - 4. Let q(y) = -h(y) - 5*l(y). Factor q(n).
(n - 18)*(n - 17)
Suppose 11*o - 24 = -7*o + 12*o. Solve -16*a**3 - 8*a**4 - o*a + 0 - 4/3*a**5 - 40/3*a**2 = 0.
-3, -1, 0
Determine s so that 54/7*s + 24/7*s**2 - 3/7*s**4 - 6/7*s**3 + 27/7 = 0.
-3, -1, 3
Let o be (-294)/(-52) + -3 - ((-48)/26 - -2). Factor 0 - 15/4*p**2 + 5/4*p**3 + o*p.
5*p*(p - 2)*(p - 1)/4
Suppose o - 1743 = -5*y, -3*o + 5*y + 6897 = o. Factor -432*b - o - b**3 + 238*b**2 - 503*b**2 + 229*b**2.
-(b + 12)**3
Let i(q) be the third derivative of 1/3*q**4 - 1/60*q**5 + 79*q**2 + 0*q + 2*q**3 + 0 - 1/120*q**6.