cond derivative of -5*p**4/12 + 10*p**3 + 109*p + 2. Determine x so that i(x) = 0.
0, 12
Let u = -6098 + 6101. Factor -23/3*a**2 + 22/3*a + 8/3 - 7/3*a**u.
-(a - 1)*(a + 4)*(7*a + 2)/3
Factor -41 + 27*f - 10*f**3 - f**5 - 2064*f**2 - 7*f**4 + 2082*f**2 + 14.
-(f - 1)**2*(f + 3)**3
Let y = 1437 - 1431. Let b(v) be the third derivative of 4/3*v**3 + 0*v - 1/5*v**5 + 1/2*v**4 - 1/15*v**y + 0 - 5*v**2. Let b(n) = 0. What is n?
-2, -1/2, 1
Factor 1311 - 2*w**2 - 2*w**2 - 1327 + 2*w**3 + 2*w**4 + 4*w**3 - 24*w.
2*(w - 2)*(w + 1)*(w + 2)**2
Let u(k) be the first derivative of 4*k**5/5 + 19*k**4 + 136*k**3/3 + 305. Let u(d) = 0. What is d?
-17, -2, 0
Let g = 107 - 103. Factor i**5 + 2*i**2 - 3*i**3 - 433*i**g - 8 + 12*i - 4*i**3 + 433*i**4.
(i - 2)*(i - 1)**2*(i + 2)**2
Let j(n) = -29*n**2 + 31*n - 7. Suppose -3*h + x = -2*h + 3, 1 = -h + 2*x. Let w(f) = 14*f**2 - 15*f + 3. Let c(s) = h*w(s) - 2*j(s). Factor c(v).
-(v - 1)*(12*v - 1)
Let h(d) be the first derivative of d**6/6 + 3*d**5 + 37*d**4/2 + 164*d**3/3 + 84*d**2 + 64*d - 355. Solve h(p) = 0.
-8, -2, -1
Let i(w) = -2*w**2 - w - 1. Let v(f) = 5*f**4 + 125*f**3 - f**2 - 123*f + 2. Let b(c) = -2*i(c) - v(c). Factor b(l).
-5*l*(l - 1)*(l + 1)*(l + 25)
Let l = 31 + -28. Factor 4*q**l - 4*q - 9 + 8 + 1.
4*q*(q - 1)*(q + 1)
Let w(t) be the third derivative of 3*t**6/40 - 19*t**5/240 - 5*t**4/32 - t**3/12 - 162*t**2. Factor w(z).
(z - 1)*(4*z + 1)*(9*z + 2)/4
Factor 7*n**4 - 17917*n**3 + 17887*n**3 + n**4 + 2*n**5 - 36*n**2.
2*n**2*(n - 3)*(n + 1)*(n + 6)
Let h be 5 + (28/4 - (-30)/21*-7). Let -10/11*w**4 + 8/11 + 14/11*w**5 + 2/11*w**h - 46/11*w**3 + 32/11*w = 0. Calculate w.
-1, -2/7, 1, 2
Let y be ((-88)/(-60) - (-8)/(-10))*6. Let o(w) be the second derivative of 1/18*w**y + 2/3*w**2 + 1/3*w**3 - 3*w + 0. Factor o(f).
2*(f + 1)*(f + 2)/3
What is y in 5*y + 120*y**2 - 18 + 17*y - 4*y**4 + 106*y + 62 + 32*y**3 = 0?
-1, 11
Factor -5*a**4 - 230*a**3 - 5060*a + 109*a**2 - 1715*a**2 + 61*a**2 - 1320*a**2 - 2420.
-5*(a + 1)**2*(a + 22)**2
Suppose m - 2 = 2. What is v in -v**m + 3*v**3 - 3*v + 4*v + 0*v**2 - 3*v**2 + 0*v**2 = 0?
0, 1
Let c(h) be the first derivative of h**4/4 + 17*h**3/3 - h**2/2 - 17*h - 227. What is v in c(v) = 0?
-17, -1, 1
Let q(p) be the third derivative of p**8/63840 - p**7/3420 + p**6/456 - 3*p**5/380 + 5*p**4/8 - 25*p**2. Let u(c) be the second derivative of q(c). Factor u(r).
2*(r - 3)**2*(r - 1)/19
Let c(s) be the first derivative of -s**6/21 + s**4/7 - s**2/7 - 51. Suppose c(a) = 0. What is a?
-1, 0, 1
Suppose 0 = 48*p - 13 - 83. Let r(z) be the second derivative of -7/54*z**4 + 1/9*z**3 + 4/9*z**p + 0 + 6*z. Factor r(d).
-2*(d - 1)*(7*d + 4)/9
Let w be (-126)/39 - -3*32/24. Factor -6/13*h - w*h**3 + 0 + 14/13*h**2 + 2/13*h**4.
2*h*(h - 3)*(h - 1)**2/13
Let m(x) = x**2 - 7*x + 9. Let f be m(6). Suppose 6*i**3 - 3*i**3 + 9*i**2 + 6 - 6*i**f + 3*i**2 - 15*i = 0. What is i?
1, 2
Suppose -390*n = -523 - 647. Factor f - 9/5*f**2 + 7/5*f**n - 2/5*f**4 - 1/5.
-(f - 1)**3*(2*f - 1)/5
Let z(g) be the second derivative of -g**4/8 - 63*g**3/4 + 48*g**2 + 53*g + 2. Factor z(r).
-3*(r - 1)*(r + 64)/2
Let d(t) be the second derivative of -t**5/140 - t**4/12 - 11*t**3/42 - 5*t**2/14 - 98*t. Factor d(b).
-(b + 1)**2*(b + 5)/7
Let c(o) be the first derivative of -o**5/5 - o**4/12 + 5*o**3/9 + o**2/6 - 2*o/3 + 84. Suppose c(p) = 0. Calculate p.
-1, 2/3, 1
Determine n, given that 16/7 - 65/7*n**2 - 9/7*n**3 + 58/7*n = 0.
-8, -2/9, 1
Let l(t) = 153*t**2 - 9 + 59*t + 69*t**3 - 81*t + 70*t. Let k(p) = -3 + 5 - 3*p - 17*p**3 - 9*p - 38*p**2. Let a(j) = 9*k(j) + 2*l(j). Factor a(r).
-3*r*(r + 2)*(5*r + 2)
Let i(q) be the second derivative of -q**7/84 + q**6/30 + q**5/8 - q**4/4 - 5*q + 9. Suppose i(x) = 0. Calculate x.
-2, 0, 1, 3
Suppose 0 = -11*x + 8*x + 111. Find s such that 8*s**5 - 70*s**3 - 137*s - 15*s**4 + 5 + x*s**5 + 162*s + 10*s**2 = 0.
-1, -1/3, 1
Let i = 380182/59405 + 2/11881. Factor i*f - 2/5*f**2 - 128/5.
-2*(f - 8)**2/5
Let v be 49 - (8/16)/(2/16). Let g = v - 45. Find z such that g - 3/4*z**2 + 3/2*z = 0.
0, 2
Determine f so that 9*f**2 + 3/4*f - 9 - 3/4*f**3 = 0.
-1, 1, 12
Let b(g) = 8*g**3 + 292*g**2 + 2480*g + 1188. Let z(s) = s**2 + 2*s + 2. Let c(o) = b(o) - 16*z(o). Find k, given that c(k) = 0.
-17, -1/2
Let l(m) be the first derivative of 2*m**7/105 - m**5/5 + m**4/3 + m**2 - 7. Let w(x) be the second derivative of l(x). Factor w(y).
4*y*(y - 1)**2*(y + 2)
Suppose 0 = -j - f + 4, 2*f - 14 = -j - f. Let p be (j - -6 - -1)/2. Factor 6/5*x**p + 0*x + 3/5*x**4 + 3/5*x**2 + 0.
3*x**2*(x + 1)**2/5
Let m be (5/15)/((-2)/(-12)). Suppose -m*r = -5 + 1. Determine a, given that -a**3 - a**4 - 19 + r*a**2 + 19 = 0.
-2, 0, 1
Suppose m - 42107 + 7*m**2 + 4*m + 42105 = 0. Calculate m.
-1, 2/7
Let f = 427 - 280. Suppose -11*c - 103 = -f. Suppose 116/3*l**2 + 26/3*l + 2/3 + 50/3*l**5 + 212/3*l**3 + 170/3*l**c = 0. What is l?
-1, -1/5
Let x = 3696034 - 1914546385/518. Let r = 2/259 - x. Let -3/4*l + r - 3/4*l**2 = 0. What is l?
-2, 1
Let n(p) be the second derivative of -p**6/105 + p**5/35 - 9*p - 4. Suppose n(b) = 0. Calculate b.
0, 2
Factor 122*x**5 - 243*x**5 + 345*x**3 + 170*x**2 + 180*x**4 + 126*x**5.
5*x**2*(x + 1)**2*(x + 34)
Suppose 58*f**2 - 5*f**4 - f**5 - 7*f**3 + 10*f**3 - 6*f + 4*f**3 - 53*f**2 = 0. What is f?
-6, -1, 0, 1
Let y = 20712 + -20712. Factor -1/6*v**3 + 0*v + 0*v**2 + 1/6*v**5 + 0*v**4 + y.
v**3*(v - 1)*(v + 1)/6
Let z be ((-36)/(-288))/(0 - 1/(-4)). Factor 0 - z*t + t**2.
t*(2*t - 1)/2
Let x(f) = 54*f**2 + 98*f + 46. Let a(c) = -c**3 + 54*c**2 + 96*c + 44. Let t(h) = 2*a(h) - 3*x(h). Factor t(m).
-2*(m + 1)**2*(m + 25)
Let n be (2*12 - 2)/2. Let f = 17 - n. Solve -7*p**2 + f*p**4 + 4*p**3 - 2*p**4 - p**2 = 0.
-2, 0, 1
Let k(a) = a**2 - 1. Let j(w) = -9*w**2 + 3*w + 12. Let u = -8 - -22. Suppose -4*q - u = -2*g - 3*g, 5*q + 4*g - 3 = 0. Let t(x) = q*j(x) - 6*k(x). Factor t(b).
3*(b - 2)*(b + 1)
Let r(m) be the first derivative of 2*m**5/55 + 25*m**4/22 + 144*m**3/11 + 64*m**2 + 1024*m/11 + 173. Factor r(h).
2*(h + 1)*(h + 8)**3/11
Suppose 75*l = 74*l + 3. Find q, given that 1/3*q**5 - q**4 + 0*q**2 + 2/3*q**l + 0 + 0*q = 0.
0, 1, 2
Let n(f) = f**2 - 2*f + 6. Let w(v) be the second derivative of v**4/4 - 5*v**3/6 + 13*v**2/2 - 17*v. Let g(t) = 5*n(t) - 2*w(t). Find r, given that g(r) = 0.
-2, 2
Let h(a) be the third derivative of -a**5/15 - a**4/3 - 2*a**3/3 - 11*a**2 + 5*a. Factor h(i).
-4*(i + 1)**2
Let f(n) be the first derivative of -n**7/4200 - n**6/900 + 17*n**3/3 - 12. Let r(z) be the third derivative of f(z). Factor r(h).
-h**2*(h + 2)/5
Let y = -26 + 29. Factor 13*s - 2 - y*s - 11*s + s**2.
(s - 2)*(s + 1)
Let f(b) be the second derivative of -1/90*b**6 + 0 - 1/6*b**3 - 28*b + 5/36*b**4 + 1/20*b**5 - 2/3*b**2. Factor f(z).
-(z - 4)*(z - 1)*(z + 1)**2/3
Let b(o) = o**2 + 248*o + 15349. Let a(i) = 3. Let h(t) = 18*a(t) + 2*b(t). Find c, given that h(c) = 0.
-124
Let y = -9495 - -9500. Determine f, given that 1/3*f**4 + 0*f**2 + 32/3*f + f**y - 16/3 - 20/3*f**3 = 0.
-2, 2/3, 1, 2
Suppose -76*g + 71*g - 5*d = -30, 3*d = 12. Let 32/9 - 16/9*f + 2/9*f**g = 0. Calculate f.
4
Let z = -29 + 32. Suppose -3*p**2 + 48*p - 32 - 17*p**2 - 4*p**2 + 4*p**z = 0. Calculate p.
2
Let u(a) be the third derivative of -a**7/210 - a**6/40 + 3*a**5/5 - 4*a**4/3 + 66*a**2. Suppose u(m) = 0. What is m?
-8, 0, 1, 4
Let c be (6/(-1) + 3)/(-1). Factor 0*d + 8*d - 11*d + 6*d - c*d**2.
-3*d*(d - 1)
Factor 13*k**3 + 37*k**2 - 40*k**2 - 10*k**3 + 3*k**4 - 3*k.
3*k*(k - 1)*(k + 1)**2
Let o = 9/173 + -313/9342. Let y(d) be the third derivative of 1/270*d**5 + o*d**4 + 0 + 0*d + 1/27*d**3 + 7*d**2. Solve y(b) = 0.
-1
Let c = -347 - -349. Factor -56/5*w**4 - 8*w**3 + 2/5*w**c + 0 + 4/5*w.
-2*w*(2*w + 1)**2*(7*w - 2)/5
Let i = -1377788 - -1574811439/1143. Let z = 1/127 - i. Determine b so that -z*b**2 - 2/3*b + 0 = 0.
-3, 0
Let g be 6/(-5)*(-40)/6. Suppose -4*s + g = -4. Determine o, given that 29*o**5 + 18*o**4 - 20*o**3 - 10*o**s + 3 - 2*o**5 + 11*o - 5 - 8*o**2 = 0.
-1, 1/3, 2/3
Let u be 1 - (4/(-14) - (-10252)/112). Let x = u - -91. Factor -3*a - 3/4 - x*a**4 - 9/2*a**2 - 3*a**3.
-3*(a + 1)**4/4
Let u(x) be the first derivative of 1 - 3/8*x**5 + 1/16*x**6 + 27/32*x**4 + 0*x + 3/8*x**2 - 7/8*x**