+ 68/13 = 0. Calculate v.
2, 17
Let z(v) be the first derivative of 0*v**2 - 69 + 2*v**3 - 8*v - 1/2*v**4. Factor z(p).
-2*(p - 2)**2*(p + 1)
Factor 13*m**3 + 64726*m**2 + 7346*m**2 + 73008*m + 3*m**4 - 844*m**3 - 102*m**3.
3*m*(m - 156)**2*(m + 1)
Let k(b) = -83*b + 149. Let x be k(2). Let z = x - -19. Find g, given that 2/5*g**z + 2/5*g - 4/5 = 0.
-2, 1
Factor -449*o**2 - 8 + 8 + 2*o**3 + 229*o**2 + 226*o**2 + 4*o.
2*o*(o + 1)*(o + 2)
Let g(n) = 4*n**3 + 16*n**2 + 4*n - 4. Let s be 3/(5/(6 - 1)). Let q(l) = -4*l**3 - 15*l**2 - 2*l + 6. Let b(c) = s*g(c) + 4*q(c). Solve b(o) = 0.
-3, -1, 1
Let w(n) be the first derivative of n**7/1575 - n**5/150 - n**4/90 + 9*n**2 - n - 129. Let c(i) be the second derivative of w(i). Let c(h) = 0. What is h?
-1, 0, 2
Let u = -28 + -51. Let o = u + 82. Let s**2 + 3*s**2 - 10*s**o + 0*s**2 + 9*s**3 = 0. What is s?
0, 4
Let q(y) be the third derivative of -y**6/300 + 2*y**5/25 - y**4/3 - 32*y**3/5 + 1757*y**2. Suppose q(w) = 0. What is w?
-2, 6, 8
Suppose -671/6*s**3 - 1/6*s**4 - 111556/3 - 168002/3*s - 18927*s**2 = 0. Calculate s.
-334, -2, -1
Factor -78*m**2 - 2*m**3 - 74*m + 21*m**2 - 19*m**2.
-2*m*(m + 1)*(m + 37)
What is g in -224*g**2 + 35*g**3 - 2313*g - 2 - 226 - 33*g**3 + 4291*g - 2432*g = 0?
-1, 114
Let a(t) = -16*t**2 - 10*t + 2. Let n be a(-3). Let o be (-32)/n + 24/14. Find c, given that -28*c**2 + 42*c**o - 3*c**4 + 16*c**3 + 9*c**4 + 4*c = 0.
-1, -2/3, 0
Let -100*m - 110 + 5/2*m**3 - 35/2*m**2 = 0. What is m?
-2, 11
Find z such that 1/3*z**2 + 20 - 19/3*z = 0.
4, 15
Let p(n) be the second derivative of -n**6/30 + 4*n**5/15 + 7*n**4/6 - 20*n**3/3 + 11*n**2 - n + 39. Let z(d) be the first derivative of p(d). Factor z(a).
-4*(a - 5)*(a - 1)*(a + 2)
Let f(m) = -m**2 + 20*m - 16. Let h be f(19). Suppose -1 = w + p, -h*w + 0*w + p = -9. Factor -z + 2*z**3 + w*z**3 - 3*z**3 + 4*z**2 - 4*z**4 + 0*z**3.
-z*(z - 1)*(z + 1)*(4*z - 1)
Let q(j) = -150*j**2 + 98560*j + 34693230. Let n(i) = 11*i**2 - 7040*i - 2478088. Let u(o) = 55*n(o) + 4*q(o). Factor u(l).
5*(l + 704)**2
Let r be 970*(-39)/108 + (-6)/4. Let x = r + 352. Factor 2/9*w**2 - 4/9 - x*w.
2*(w - 2)*(w + 1)/9
Factor -48 - 72/5*d - 3/5*d**2.
-3*(d + 4)*(d + 20)/5
Determine l so that -749956/3 - 4/3*l**2 + 3464/3*l = 0.
433
Let x(q) be the third derivative of 50/3*q**4 + 0*q - 2/105*q**7 + 250*q**3 + 66*q**2 - 2*q**5 + 0 - 2/5*q**6. Determine c so that x(c) = 0.
-5, 3
Factor 523/2*o + 1/2*o**2 + 0.
o*(o + 523)/2
Let h be (-545)/(-120) - 144/32. Let m(v) be the third derivative of -h*v**3 + 1/480*v**5 + 0 + 1/192*v**4 + 0*v - 5*v**2. Factor m(q).
(q - 1)*(q + 2)/8
Let l(o) be the third derivative of 2*o**7/15 + 113*o**6/30 - 127*o**5/15 - 113*o**4/6 + 80*o**3 - 20*o**2 - 85*o. Suppose l(h) = 0. What is h?
-120/7, -1, 1
Let v = 2415 + -14485/6. Let d(u) be the second derivative of -v*u**4 + 0*u**3 + 0*u**2 + 14*u + 0 - 7/4*u**5. Find w such that d(w) = 0.
-2/7, 0
Let -7618*y**2 - 7612*y**2 + 1968*y - 1966 + 15228*y**2 = 0. Calculate y.
1, 983
Let k(r) be the second derivative of 3*r**7/35 + 56*r**6/75 - 123*r**5/50 + 7*r**4/5 + 16*r**3/15 + 918*r + 1. Find w, given that k(w) = 0.
-8, -2/9, 0, 1
Suppose -q + 36 = 2*d, -3*q - 2*d - 44 = -152. Let a = q - -4. Suppose 11*s**3 + 140*s + 40*s**3 - 150*s**2 - 6*s**3 - a = 0. What is s?
2/3, 2
Factor 27/5*p**5 + 252/5*p**3 - 198/5*p**2 - 138/5*p**4 + 57/5*p + 0.
3*p*(p - 1)**3*(9*p - 19)/5
Let i(s) = 2*s**2 + 6*s - 7. Let g be i(-7). Let p = 395 - 350. Find q such that -4*q**2 + q**2 + 8 - q**2 + g*q - p*q = 0.
-1, 2
Let v(b) be the first derivative of -1/4*b**4 + 81 + 1/15*b**5 - 1/9*b**3 + 1/6*b**2 + 0*b + 1/9*b**6. Find c such that v(c) = 0.
-1, 0, 1/2, 1
Let p(z) be the second derivative of -z**6/180 - 2*z**5/15 - 4*z**4/3 + 2*z**3/3 + 92*z. Let m(n) be the second derivative of p(n). Solve m(y) = 0.
-4
Let w be 231/39*(-460)/(-2530). Determine m, given that -w*m**2 - 6/13*m + 0 - 2/13*m**4 - 10/13*m**3 = 0.
-3, -1, 0
Let h(f) be the third derivative of -f**7/630 + 11*f**6/90 - 203*f**5/180 + 79*f**4/18 - 26*f**3/3 - 2*f**2 - 780*f. Factor h(q).
-(q - 39)*(q - 2)**2*(q - 1)/3
Let c(l) be the third derivative of -l**5/60 + 43*l**4/2 - 11094*l**3 + 1187*l**2. Determine z, given that c(z) = 0.
258
Let d(t) be the first derivative of 0*t + 1/4*t**4 - 165 - 8/3*t**3 + 8*t**2. Solve d(p) = 0 for p.
0, 4
Let u(n) = 243*n**4 + 6*n**2 - 478*n**4 + 239*n**4 + 6*n**3. Let l(f) = 3*f**4 + 6*f**3 + 5*f**2. Let h(s) = -6*l(s) + 5*u(s). Let h(x) = 0. Calculate x.
0, 3
Suppose 0 = -3*c + 87. Let h be c/10 - (-2)/(-5). Factor 1/2*z + 0 + h*z**3 + 3/4*z**4 + 9/4*z**2.
z*(z + 1)*(z + 2)*(3*z + 1)/4
Let f be 6/12 + (-58)/(-4). Let q be (21/9)/(5/f). Factor -q - a**3 + a - 2*a**2 - 5 + 14.
-(a - 1)*(a + 1)*(a + 2)
Solve -28*l - 4/5*l**3 + 44/5*l**2 + 20 = 0 for l.
1, 5
Let p = -119694 - -119694. Let 9/7*f + p + 3*f**2 + 15/7*f**3 + 3/7*f**4 = 0. Calculate f.
-3, -1, 0
Let p(f) = 4*f**2 + 2*f - 10. Let z(b) = b + 1. Let x(l) = -l - 3. Let r be x(-5). Let t(m) = r*z(m) + p(m). Determine y, given that t(y) = 0.
-2, 1
Let r(u) be the first derivative of u**6/4 - 57*u**5/10 + 105*u**4/8 - 17*u**3/2 + 1004. Suppose r(k) = 0. Calculate k.
0, 1, 17
Let m(d) be the first derivative of 10285412000*d**4 + 15015200*d**3 + 8220*d**2 + 2*d + 4516. Let m(h) = 0. What is h?
-1/2740
Let p(f) be the third derivative of -f**6/160 - 31*f**5/40 - 117*f**4/32 + 45*f**3/2 - 4927*f**2. Determine v so that p(v) = 0.
-60, -3, 1
Let a be (-704)/72 - -12 - (-4)/(-18). Suppose -3*y + 2 = -1. Factor 3*x**a - y + 6*x - 4*x + 6*x + 5.
(x + 2)*(3*x + 2)
Suppose -5*q = -5*b + 5, -51*b + 5*q = -48*b + 1. Let k(n) be the second derivative of -1/12*n**b + 1/48*n**4 + 1/80*n**5 + 0 + 16*n + 0*n**2. Factor k(m).
m*(m - 1)*(m + 2)/4
Let d(l) be the second derivative of l**5/12 - 5*l**4/24 - 10*l**3 - 4*l**2 + 2*l - 55. Let k(h) be the first derivative of d(h). Factor k(c).
5*(c - 4)*(c + 3)
Let v(j) = -9*j**2 - 35*j + 926. Let f(o) = -6*o**2 - 26*o + 617. Let k(r) = 8*f(r) - 5*v(r). Let k(w) = 0. Calculate w.
-17, 6
Suppose 5*a = -a + 1800. Determine i, given that -2*i + i**2 + 4*i + 301*i**5 + i**4 - 3*i**3 - a*i**5 - 2*i**2 = 0.
-2, -1, 0, 1
Let s(l) be the second derivative of 3*l**5/40 - 4*l**4/3 + 73*l**3/12 + 7*l**2 + 1929*l. Factor s(q).
(q - 7)*(q - 4)*(3*q + 1)/2
Let t = -3858045/8 - -482257. Solve 0*l - t*l**3 + 0 - 3/4*l**4 - 3/4*l**2 - 1/8*l**5 = 0.
-3, -2, -1, 0
Let q(k) be the first derivative of 242 - 5*k - 1/21*k**3 + 6/7*k**2. Factor q(a).
-(a - 7)*(a - 5)/7
Let j(z) be the third derivative of -2*z**7/105 + 82*z**6/15 - 2241*z**5/5 - 82*z**4/3 + 13448*z**3/3 + z**2 + 2*z + 97. Find h, given that j(h) = 0.
-1, 1, 82
Suppose -3*c + 2*y = -10, -9*y = 2*c - 10*y - 7. Solve 18*m - 7 + c - 4 - 8 - 2 - m**2 = 0 for m.
1, 17
Factor 0 - 2809/3*b**3 + 0*b**2 - 1/3*b**5 + 0*b - 106/3*b**4.
-b**3*(b + 53)**2/3
Suppose 2/13*i**2 + 1194/13*i + 0 = 0. Calculate i.
-597, 0
Let c(a) be the third derivative of 5*a - 9*a**2 - 1/10*a**4 - 3/5*a**3 + 0 - 1/150*a**5. Determine q, given that c(q) = 0.
-3
Let i(x) = -2*x**2 + 32*x - 162. Let l(g) = g**2 - 2*g + 3. Let y(s) = -i(s) - 6*l(s). Suppose y(d) = 0. Calculate d.
-9, 4
Suppose 2*v - 3*d - 220 + 238 = 0, 40 = 5*d. Let r(g) be the first derivative of 3/11*g**2 + 4/11*g + 2/33*g**v - 34. Determine b, given that r(b) = 0.
-2, -1
Let g(n) be the second derivative of -n**6/60 - 9*n**5/20 - 10*n**4/3 + 3*n**3/2 + 81*n**2/4 + 973*n + 2. Suppose g(k) = 0. What is k?
-9, -1, 1
Let v = 1663 - -692. Let d = -2353 + v. Let z - 1/3 + 1/3*z**3 - z**d = 0. Calculate z.
1
Factor 33*a**2 + 17*a - 417*a**3 + 7*a**4 - 31*a**2 + 399*a**3 + a**5 - 9.
(a - 1)**3*(a + 1)*(a + 9)
Let l = -9356 - -327462/35. Let k(z) be the first derivative of -5/14*z**4 - 3/7*z**2 + 4 - l*z**5 + 0*z - 2/3*z**3. Factor k(r).
-2*r*(r + 1)**2*(r + 3)/7
Let n(q) be the first derivative of -3/8*q**2 + 57 - 1/16*q**4 - 1/20*q**5 + 5/12*q**3 + 0*q. Solve n(z) = 0.
-3, 0, 1
Let r(x) be the first derivative of -2/13*x**2 + 2/13*x**3 + 8 - 1/26*x**4 + 0*x. Determine g so that r(g) = 0.
0, 1, 2
Let l(d) = 12*d**4 - 164*d**3 - 91*d**2 + 78*d - 23. Let h(q) = 13*q**4 - 165*q**3 - 92*q**2 + 78*q - 20. Let c(p) = 4*h(p) - 3*l(p). Factor c(z).
(z - 11)*(z + 1)*(4*z - 1)