= -3*c + 5*o. Let a(z) be the second derivative of -22/39*z**3 + 1/78*z**4 + c + 121/13*z**2 + 29*z. Solve a(m) = 0 for m.
11
Let y be -10*((-76)/180 - 8/(-36)). Factor -28*w**3 + 54*w**4 - 44*w**4 - 14 + 26*w + 4*w**5 - 2*w**5 + 4*w**y.
2*(w - 1)**3*(w + 1)*(w + 7)
Let l(f) be the first derivative of 23*f**4/8 - 11*f**3/3 - 139*f**2/4 - 3*f - 675. Determine p so that l(p) = 0.
-2, -1/23, 3
Let h be 50*(185/296)/(30/8). Determine x, given that -3*x**5 - 2*x - h*x**2 + 5*x**3 + 25/3*x**4 + 0 = 0.
-1, -2/9, 0, 1, 3
Let d be ((-24)/16)/((-27)/12). Factor d*i + 0 - 1/3*i**2.
-i*(i - 2)/3
Let c(r) be the second derivative of -r**6/90 + 16*r**5/15 + 89*r**4/12 + 169*r**3/9 + 68*r**2/3 + 75*r - 2. Determine y, given that c(y) = 0.
-2, -1, 68
Suppose -788*m + 1856 = -324*m. Find h, given that -4*h**3 + 4*h + 17/4*h**2 + 3/4*h**m - 5 = 0.
-1, 1, 2, 10/3
Let p be (-1)/3 + (-12008)/(-114). Let q = 425/4 - p. Factor -q*k + 1 + 1/4*k**2.
(k - 4)*(k - 1)/4
Let i(q) be the third derivative of q**8/84 + 34*q**7/105 + 61*q**6/30 - 39*q**5/5 - 27*q**4 - 1491*q**2 + 1. Factor i(b).
4*b*(b - 2)*(b + 1)*(b + 9)**2
Let s be (6 - 4)/(3/30*-4). Let h be ((-15)/50 - (-1)/s)*-34. Determine a, given that -h*a**2 + 7*a**2 - 16*a + 5*a**2 + 7*a**2 = 0.
0, 8
Factor 50*s**2 + 154/3*s - 2/3*s**4 + 46/3*s**3 + 52/3.
-2*(s - 26)*(s + 1)**3/3
Find u, given that 66*u**3 - 6771*u**4 - u**5 - u**5 + 6801*u**4 + 34*u**2 = 0.
-1, 0, 17
Let -1/2*g - 17/2*g**4 - 17/2 + 17*g**2 + g**3 - 1/2*g**5 = 0. What is g?
-17, -1, 1
Let x be 15*((-10)/2)/(-25). Let f be ((-1)/1 - (-161)/14)/x. Find l, given that 3/2 + l**2 + f*l = 0.
-3, -1/2
Suppose -4*w = -2*c - 22, 0 = -55*w + 56*w + c + 5. Suppose 0 = h - 3*h. Factor 0 + 5/4*i**3 + 1/4*i**5 + 1/2*i**w + i**4 + h*i.
i**2*(i + 1)**2*(i + 2)/4
Let z(t) = -t**3 + 2*t**2 + 12*t - 22. Let d be z(2). Factor 2 + 5 + 1 + 5 + 14*l + l**d.
(l + 1)*(l + 13)
Let j(g) be the second derivative of -g**5/60 + g**3/6 + 53*g**2 - 14*g - 7. Let v(b) be the first derivative of j(b). Factor v(a).
-(a - 1)*(a + 1)
Let q(k) = 9*k**2 + 106*k. Let n be q(-12). Let y(a) be the first derivative of 1/2*a**2 - n + 0*a + 3/8*a**4 + 7/6*a**3. Suppose y(b) = 0. What is b?
-2, -1/3, 0
Let j(t) = t**3 + t**2 - 2*t - 24. Let y be j(0). Let l be ((-1)/(-10))/((-4)/y). Factor -3*a**2 + 0 + l*a**4 - 9/5*a - 3/5*a**3.
3*a*(a - 3)*(a + 1)**2/5
Let h be (-64)/336 - (-4 - 552/(-161)). Solve 38/21*r**3 + 16/21*r**2 + 0 + 2/3*r**4 - h*r = 0 for r.
-2, -1, 0, 2/7
Let g be 2370/(-26) - 2 - 10/(-65). Let j = g - -93. Suppose j*k - 1/7*k**2 - 2/7*k**3 + 0 - 1/7*k**4 = 0. Calculate k.
-1, 0
Let f = 997 + -537. Factor f*w + 2*w**5 - 460*w.
2*w**5
Let t(w) = -4*w - 88. Let g be t(-23). Let -145*o**g - 66*o**2 + 34*o**3 - 14*o**3 + 143*o**4 - 40 + 88*o = 0. Calculate o.
1, 2, 5
Let b = 3868 + -3855. Let z(w) be the first derivative of -5/3*w**3 - 10*w + 15/2*w**2 + b. Factor z(i).
-5*(i - 2)*(i - 1)
Let x(t) = -2*t**3 - 1330*t**2 - 2670*t - 1324. Let v(a) = -6*a**3 - 3990*a**2 - 8018*a - 3971. Let u(w) = 4*v(w) - 14*x(w). Factor u(r).
4*(r + 1)**2*(r + 663)
Suppose p = 3*a - 107, 2*a + 2*a = 5*p + 491. Let j be 2/((-19)/(p/50)). Factor 1/5 - 2/5*c**2 - 2/5*c**3 + 1/5*c + 1/5*c**5 + j*c**4.
(c - 1)**2*(c + 1)**3/5
Let z(a) = -16*a**2 - 21*a - 7. Let i(f) = 1 - 1 + 16*f**2 + 4*f - 23*f**2 + 10*f**2 + 1. Let q(d) = -11*i(d) - 2*z(d). Factor q(p).
-(p - 1)*(p + 3)
Let g(a) be the third derivative of a**6/12 - 242*a**5/5 - 875*a**4/12 + 194*a**3 - 2956*a**2. Factor g(z).
2*(z - 291)*(z + 1)*(5*z - 2)
Solve -5/2*c**3 + 0 + 0*c + 255/2*c**2 = 0.
0, 51
Let v(n) = -n**5 + 2*n**4 - 6*n**3 - n**2 + n + 2. Let x(u) = 36*u**5 - 20*u**4 + 82*u**3 - 78*u**2 - 46*u - 28. Let o(z) = 44*v(z) + 2*x(z). Solve o(i) = 0.
-2, -1, 2/7, 2
Let d(z) be the first derivative of z**7/1260 - z**6/240 + z**4/36 + 28*z**2 - z - 40. Let r(s) be the second derivative of d(s). Factor r(w).
w*(w - 2)**2*(w + 1)/6
Let n(y) = -y**3 - 9*y**2 - 4*y + 70. Let o be n(-7). Suppose -48*c + 0*c = o. Find g such that c + 0*g + 8/3*g**2 - 1/3*g**3 = 0.
0, 8
Suppose -8*d + 10*d + 20 = 5*y, 20 = 5*y - 4*d. Factor -p**2 + p**3 + 0*p + y*p - 2*p**2 + 4*p**2 - 10*p.
p*(p - 2)*(p + 3)
Let i = -25/251 + 701/4518. Let a(u) be the second derivative of 1/3*u**3 - 18*u - 2/3*u**2 + 0 - i*u**4. Factor a(s).
-2*(s - 2)*(s - 1)/3
Let f be (-2276)/(-36)*-1*(-9 + 12). Let j = 190 + f. What is b in 1/6*b**2 - j + 1/6*b = 0?
-2, 1
Factor 48750*o - 5281250 + 2/13*o**3 - 150*o**2.
2*(o - 325)**3/13
Factor -814/3*s - 271/3 - 272*s**2 - 1/3*s**4 - 274/3*s**3.
-(s + 1)**3*(s + 271)/3
Suppose 4*v - 4*n - 4 = 0, 3*v = -4*n + 9 + 1. Let s = 1014 + -1007. What is a in -10*a**3 + 5*a**2 + 5*a**5 - a - 2*a**v - 5*a**4 + s*a**2 + 6*a - 5 = 0?
-1, 1
Let b(l) be the second derivative of l**4/12 + 211*l**3/6 - 2*l + 97. Factor b(d).
d*(d + 211)
Let s(k) be the first derivative of -1/33*k**6 + 313 - 3/11*k**4 + 4/33*k**3 + 6/11*k + 7/11*k**2 - 2/11*k**5. Find t such that s(t) = 0.
-3, -1, 1
Let q(x) = 38 - 18*x**2 + 34*x + 36*x + 14*x**2. Let j be q(18). Suppose 0 - 2/5*p - 1/5*p**j = 0. Calculate p.
-2, 0
Let d(w) = 15*w**2 + 50*w + 10. Let j(f) = 14*f**2 + 53*f + 9. Suppose 34 = 3*m + 4*b, 7*m - 8 = 5*m + b. Let p(l) = m*d(l) - 5*j(l). What is k in p(k) = 0?
-1, -3/4
Suppose 7/8*l**2 - 4 + 223/8*l = 0. What is l?
-32, 1/7
Let c(z) be the third derivative of z**5/210 - 11*z**4/14 + 363*z**3/7 + 25*z**2 + 36. Suppose c(m) = 0. What is m?
33
Let c = 658 - 672. Let l be -135 - -132 - 50/c. Factor -2*r**2 - 3/7*r + l*r**4 + 0 - r**3.
r*(r - 3)*(r + 1)*(4*r + 1)/7
Let z(r) be the second derivative of r**7/84 - r**6/2 + 27*r**5/4 - 3645*r**3/4 + 19683*r**2/2 - 39*r + 3. Factor z(s).
(s - 9)**4*(s + 6)/2
Let w be 10/350*7*10/2. Let s be (-25)/(-150) + w/3. Let -s*p**3 + 5/2 + 1/2*p - 5/2*p**2 = 0. Calculate p.
-5, -1, 1
Factor 15842/5 - 356/5*d + 2/5*d**2.
2*(d - 89)**2/5
Let l(f) be the second derivative of f**5/5 + 179*f**4/3 - 724*f**3/3 - 9*f + 333. Factor l(i).
4*i*(i - 2)*(i + 181)
Let m(h) = h**2 + 95*h - 390. Let j be m(-99). Let d(g) be the first derivative of 40*g**3 - 37*g**4 - 26 - 18*g**2 - 8/3*g**j + 0*g + 16*g**5. Factor d(n).
-4*n*(n - 1)**2*(2*n - 3)**2
Let h(s) be the third derivative of -5*s**8/336 + s**7/6 + 49*s**6/24 - 55*s**5/12 + 5*s**2 - 137*s. Let h(r) = 0. What is r?
-5, 0, 1, 11
Let i(f) be the first derivative of 8*f**4 - 3632*f**3 - 2727*f**2 - 682*f + 2007. Factor i(m).
2*(m - 341)*(4*m + 1)**2
Let n be (2*(-2)/(-5))/((-16)/40) + (-306)/(-144). Solve -169/2 + 13/2*p - n*p**2 = 0 for p.
26
Let h(j) = -7*j + 69. Let x be h(7). Factor -2*z**2 + 317 - 16*z + 194 - x*z - 673.
-2*(z + 9)**2
Let p(g) = 17*g + 102. Let t be p(-3). Solve -70*f**2 + f**3 - 3*f**2 + 2*f**4 - t*f**3 + 21*f**2 = 0.
-1, 0, 26
Let q(w) be the first derivative of w**7/4620 + 4*w**6/495 + w**5/44 + w**3 + 111. Let r(p) be the third derivative of q(p). Determine s, given that r(s) = 0.
-15, -1, 0
Let o(h) = -h**2 - 8*h + 18. Let n be o(-8). Let c = n + 83. Solve -c*x + 27*x**2 - 25*x**2 + 99*x = 0 for x.
0, 1
Let y = 208 + -184. Let a(j) = -j**2 - j + 1. Let z(b) = -7*b**2 + 22*b + 233. Let h(d) = y*a(d) - 3*z(d). Find r such that h(r) = 0.
-15
Determine b, given that 2/7*b**3 + 438/7*b + 666/7 - 226/7*b**2 = 0.
-1, 3, 111
Let g(a) = -a**3 + 4*a**2 - a - 2. Let c(i) = -6*i**3 + 21*i**2 - 5*i - 11. Let x(k) = -2*c(k) + 11*g(k). Let y be x(-2). Factor 4*t**2 - 294*t - t**y + 300*t.
3*t*(t + 2)
Let s(z) be the third derivative of -z**5/450 + 41*z**4/180 + 4098*z**2. Factor s(w).
-2*w*(w - 41)/15
Let u(y) be the second derivative of -y**7/63 + 14*y**6/15 + 46*y**5/5 + 284*y**4/9 + 128*y**3/3 - 3236*y. Factor u(g).
-2*g*(g - 48)*(g + 2)**3/3
Let v(a) = 833 - 12*a**2 - 10*a - 832 + 0*a**3 - a**3. Let b(n) = n + 1. Let d(w) = -22*b(w) + 2*v(w). Solve d(o) = 0 for o.
-10, -1
Let r = 303/37 - -69199/148. Let h = r - 475. Factor -1/2 - 1/4*t**2 + h*t.
-(t - 2)*(t - 1)/4
Let f be (40 - 58)/(9/(-24)). Suppose -37*d - 44 = -f*d. Determine v, given that -1/4*v**2 + 0 + 1/2*v**3 + 1/4*v**d - 1/2*v = 0.
-2, -1, 0, 1
Let z(d) be the second derivative of d**5/300 - d**4/30 + d**3/10 + 19*d**2 + 85*d. Let u(o) be the first derivative of z(o). Solve u(c) = 0.
1, 3
Let a(i) = 4379*i + 253990. Let w b