30*o**4. Factor c(b).
4*(b + 4)*(3*b + 1)/5
Let u(b) be the second derivative of -11*b**5/120 + 49*b**4/4 - 1480*b**3/3 + 800*b**2/3 - 35*b. Factor u(j).
-(j - 40)**2*(11*j - 2)/6
Let s(g) = 28*g + 714. Let i be s(-25). Let a(h) be the third derivative of -1/150*h**5 + 0 - 4/15*h**3 - i*h**2 - 1/15*h**4 + 0*h. Factor a(m).
-2*(m + 2)**2/5
Suppose -221*j**2 + 102*j**2 - 888 + 790*j + 215*j**2 - 207*j**3 + 209*j**3 = 0. Calculate j.
-37, -12, 1
Suppose 94*a + 239*a - 27 - 424 = 215. Factor 4/5*i**a + 17424/5 - 528/5*i.
4*(i - 66)**2/5
Let j(g) be the first derivative of -g**5/6 - 85*g**4/24 - 55*g**3/2 - 405*g**2/4 - 180*g + 1219. Factor j(o).
-5*(o + 3)**3*(o + 8)/6
Let l(v) be the first derivative of -v**5/25 + v**4/20 + 2*v**3/5 - 2*v**2/5 - 8*v/5 - 281. Solve l(x) = 0.
-2, -1, 2
Let a = 2691113/11 - 244643. Factor 38/11 + 2/11*m**2 - a*m.
2*(m - 19)*(m - 1)/11
Let z(f) = -54*f**3 - 1887*f**2 - 5640*f - 3739. Let y(p) = -19*p**3 - 629*p**2 - 1880*p - 1246. Let i(a) = 17*y(a) - 6*z(a). Factor i(t).
(t + 1)*(t + 2)*(t + 626)
Let x be 46/8 - (-18)/(-24). Suppose -52*j + 10 = -87 - 111. What is m in 0 + 0*m + 3/5*m**3 + 0*m**j - 3/5*m**x + 0*m**2 = 0?
-1, 0, 1
Suppose 0 = 2*m - 17 + 11. Factor 68*l**2 - 2*l**m - 7*l - 9*l + 19*l + 69*l - 2*l**3.
-4*l*(l - 18)*(l + 1)
Let w = -35 - -23. Let d = 17 + w. Factor 3*p**4 - 2 + 7*p**5 - 3*p**5 - 4*p**3 + d*p + p**4 - 5*p**5 - 2*p**2.
-(p - 2)*(p - 1)**3*(p + 1)
Suppose 0 - 2/9*n**3 - 4/9*n + 2/3*n**2 = 0. What is n?
0, 1, 2
Let a(t) be the third derivative of -3*t**5/10 + 83*t**4/120 - 7*t**3/15 - 1086*t**2 + 2. Factor a(g).
-(9*g - 2)*(10*g - 7)/5
Let y(n) = 4*n**2 + 5*n - 32. Let u(m) = 8*m**2 - 20*m**2 + 25*m**2 + 16*m - m**2 - 96. Let v(w) = -3*u(w) + 8*y(w). Solve v(c) = 0 for c.
-4, 2
Let q(b) = b**2 + 471*b - 1875. Let j be q(4). Let l(y) be the second derivative of y**3 + j*y + 0 + 8/3*y**2 + 1/18*y**4. Let l(c) = 0. Calculate c.
-8, -1
Let k be 2*(-4)/10*5. Let r be (36/80)/((-3)/k). What is t in -r*t**3 + 6/5*t**2 + 0*t + 0 = 0?
0, 2
Suppose 5*k + 5*u - 25 + 40 = 0, -6 = -2*k + 2*u. Let x(p) be the second derivative of -2/3*p**3 + k - 1/3*p**4 + 0*p**2 - 3*p. Factor x(t).
-4*t*(t + 1)
Let k(z) be the third derivative of z**7/840 - z**6/40 - 7*z**5/40 + 121*z**4/12 + 104*z**2. Let r(h) be the second derivative of k(h). Factor r(c).
3*(c - 7)*(c + 1)
Let n(z) be the third derivative of -z**5/60 + 111*z**4/32 - 83*z**3/24 - z**2 - 783. Find t such that n(t) = 0.
1/4, 83
Let f(v) = -v - 11. Let r be f(-14). Suppose -r*g = -223 - 206. Factor -71*o**4 + g*o**4 + o**2 - 73*o**4 + 2*o**3 - 2*o.
-o*(o - 2)*(o - 1)*(o + 1)
Find g such that 1752*g**2 + 0*g**3 - 104*g**3 - 89*g**3 - 3536*g + 2368 - 2*g**4 - 91*g**3 = 0.
-148, 2
Let p(i) = 9*i + 10. Let z be p(-3). Let x = z - -38. Factor 5*m**3 + 33*m**2 + x*m**2 - 49*m**2.
5*m**2*(m + 1)
Let r(g) = -1349*g - 8091. Let x be r(-6). Let b(q) be the second derivative of 0 + 2/3*q**2 + 27*q - 1/9*q**4 + 5/6*q**x. Factor b(h).
-(h - 4)*(4*h + 1)/3
Let o(u) = -2*u**5 + 21*u**4 + 99*u**3 + 3*u**2 - 102*u - 29. Let c(t) = t**5 - t**4 + t**2 - 2*t - 1. Let g(a) = 20*c(a) - 4*o(a). What is s in g(s) = 0?
-2, -1, -2/7, 1, 6
Let c(p) be the second derivative of -p**7/147 - 337*p**6/105 - 5843*p**5/14 - 137443*p**4/42 + 29216*p**3/21 + 137780*p**2/7 - 832*p + 4. Solve c(n) = 0 for n.
-166, -5, -1, 1
Let i = -13050/13 - -91740/91. Solve 2*v**2 - i*v + 18/7 - 2/7*v**3 = 0 for v.
1, 3
Let m(o) = -o**2 - 8*o - 8. Let k(r) = -2*r - 1. Let z(x) = -x**3 + 34*x**2 - 32*x - 35. Let q be z(33). Let y(b) = q*k(b) - 2*m(b). Factor y(g).
2*(g + 1)*(g + 9)
Let v be (-6)/((-9)/3) - (-60)/(-40). Let y be -6 - (-48)/5 - 3/5. Solve 1/2*x**y - v*x + 0 + 0*x**2 = 0.
-1, 0, 1
Let h be ((-2055)/18)/(3/(-6)). Let g = 231 - h. Factor g - 8/3*c**2 + 4/3*c - 4/3*c**3.
-4*(c - 1)*(c + 1)*(c + 2)/3
Suppose 210*y = 1054*y - 4220. Find m, given that 0 - 1/2*m**4 + y*m - 3*m**3 - 3/2*m**2 = 0.
-5, -2, 0, 1
Let a(y) be the third derivative of y**5/180 - 19*y**4/8 + 85*y**3/9 + 2*y**2 - 188. Factor a(m).
(m - 170)*(m - 1)/3
Let x(l) be the second derivative of 5*l**4/12 + 260*l**3/3 + 510*l**2 - 144*l + 3. Factor x(m).
5*(m + 2)*(m + 102)
Suppose 22 = 6*d - 2. Let r be (5 - 3)/2 + 1. Factor -5*y + 2*y**4 - 2 + y**4 + y**r + 2*y**2 + 5*y**3 - d*y**2.
(y - 1)*(y + 1)**2*(3*y + 2)
What is y in 36*y**2 - 15/7*y**3 - 30 - 999/7*y = 0?
-1/5, 7, 10
Let a be (-11)/(297/45) + 32/3. Suppose -9 + a = 15*x. Factor x - 1/2*m**2 + 3*m.
-m*(m - 6)/2
Let i be (665/(-19))/35 - 123/(-21). Factor i*o**4 - 2/7*o**5 + 0*o + 0*o**2 + 0*o**3 + 0.
-2*o**4*(o - 17)/7
Let n(p) be the first derivative of 1/6*p**6 + 0*p + 8/5*p**5 + 103 + 10/3*p**3 + 0*p**2 - 19/4*p**4. Factor n(d).
d**2*(d - 1)**2*(d + 10)
Suppose 3*c = 9*b - 11*b + 5, 3*c - 3 = -3*b. Let x be (-4)/10 - (-37)/5. Factor -2 + 9 - q**c - x + q.
-q*(q - 1)*(q + 1)
Suppose 5*q = -5*o + q + 26, -4*o - 12 = -5*q. Suppose -o*d - 3*y + 1 = 0, 0 = -d + 3*y + 13 - 8. Factor -2/3 + 1/6*t**d + 1/2*t.
(t - 1)*(t + 4)/6
Let w be 6 - (0 + 1 + 1). Let h(y) = 809*y + 21845. Let s be h(-27). Factor 4/7*d**s + 0 + 2/7*d**3 - 2/7*d**w + 0*d.
-2*d**2*(d - 2)*(d + 1)/7
Let g(y) be the first derivative of y**4/4 + 10*y**3/3 + 8*y**2 + 720. Solve g(j) = 0.
-8, -2, 0
Suppose -153*h + 732 = -92*h. Let b(y) be the second derivative of 0*y**3 - 1/30*y**5 + 0 + h*y + 0*y**2 + 0*y**4 + 1/135*y**6. Let b(v) = 0. Calculate v.
0, 3
Let z = 7892 + -7879. Let d(y) be the first derivative of 10*y + 5/3*y**3 + z + 15/2*y**2. Determine b, given that d(b) = 0.
-2, -1
Let n = -1745 + 1747. Let v(f) be the second derivative of 0 + 1/4*f**4 + f**3 + 0*f**n + 16*f - 1/10*f**6 - 3/10*f**5. Determine l so that v(l) = 0.
-2, -1, 0, 1
Let r = 1225650 - 2451297/2. Let -r*t**2 - 8214 - 222*t = 0. Calculate t.
-74
Let y(r) be the second derivative of -r**4/36 - r**3/2 + 15*r**2 - 361*r + 3. Factor y(m).
-(m - 6)*(m + 15)/3
Let h(s) = 23*s - 135. Let y be h(6). Let d(p) be the third derivative of 0 + 0*p + 10*p**2 + 1/3*p**y + 1/30*p**5 - 1/6*p**4. Factor d(k).
2*(k - 1)**2
Let b = 5820 + -5817. Let m(q) be the third derivative of -5/2*q**4 + 0*q - 1/42*q**7 + 0 - 13/12*q**5 - 10/3*q**b - 1/4*q**6 - 9*q**2. Factor m(c).
-5*(c + 1)**2*(c + 2)**2
Let w be (4 + -2)/(0 - (-6)/1491). Let c = w + -495. What is b in 1/10*b**c + 3/10 - 2/5*b = 0?
1, 3
Let l(x) be the second derivative of -7/30*x**3 + 1/60*x**4 + 25*x + 0 + 6/5*x**2. Let l(i) = 0. Calculate i.
3, 4
Let p(r) = -r**2 - 31*r - 54. Let k be p(-26). Factor -a**3 + k*a + 9 + 7*a**2 - 146*a + 55*a.
-(a - 3)**2*(a - 1)
Let i(g) be the third derivative of -g**6/840 + g**5/35 - g**4/8 - 7*g**3/3 - 1072*g**2. Determine h so that i(h) = 0.
-2, 7
Let q(w) be the third derivative of -w**6/840 + w**5/60 + w**4/168 - w**3/6 - 9*w**2 - 53*w. Factor q(v).
-(v - 7)*(v - 1)*(v + 1)/7
Let b(f) be the first derivative of 61 + 13/9*f**2 - 2/27*f**3 - 8/3*f. Factor b(l).
-2*(l - 12)*(l - 1)/9
Let w(m) = m**3 + 173*m**2 + 681*m + 847. Let c be w(-169). Factor -24/7*t**4 + 108/7*t**c - 6/7*t**5 + 0 + 0*t + 18/7*t**3.
-6*t**2*(t - 2)*(t + 3)**2/7
Suppose 226*s - 219*s = 77. Factor s + 24*x**3 - 11 + 90*x - 36*x**2 - 90*x - 4*x**4.
-4*x**2*(x - 3)**2
Let a be (-2 + -2)*(-1 - (-2)/4). Let l(f) = -3*f**3 + 6*f**2 + 5*f - 7. Let u be l(a). Factor 16/3*b**u - 16/3*b**2 + 0*b + 0 - 4/3*b**4.
-4*b**2*(b - 2)**2/3
Suppose -276 = -1207*q + 1138*q. Let 1/2 + 1/4*k**3 - 1/8*k**q - k + 3/8*k**2 = 0. Calculate k.
-2, 1, 2
Factor -1040*d**3 - 2400*d**2 + 36*d**5 + 2003*d**4 - 984*d**4 - 995*d**4.
4*d**2*(d - 6)*(3*d + 10)**2
Let c(g) = g**4 + 381*g**3 + 37958*g**2 + 147447*g + 145934. Let b(a) = -a**3 - 11*a**2 - a + 2. Let i(y) = 10*b(y) - 2*c(y). Factor i(q).
-2*(q + 2)**2*(q + 191)**2
Suppose 1 = 2*f - 5*j - 9, -4*f + 4*j = -20. Suppose -f*y + y = 4*v + 4, 2*v - 5*y - 26 = 0. What is r in -r**3 - v*r + 11 - 27 + 16 + 4*r**2 = 0?
0, 1, 3
Let c(g) be the second derivative of g**5/110 - g**4/11 + 5*g**3/33 + 26*g. Find x, given that c(x) = 0.
0, 1, 5
Let y(d) be the second derivative of -d**6/30 + 6*d**5/5 - 59*d**4/6 - 52*d**3 - 169*d**2/2 + 383*d. Factor y(m).
-(m - 13)**2*(m + 1)**2
Let n be -9 + 513/228*(0 + 4). Factor 0 + 0*j + 0*j**3 + n*j**2 - 5/3*j**5 + 10*j**4.
-5*j**4*(j - 6)/3
