- 2)*(l + 1)*(l + 36)/11
Let b = 11455 - 34361/3. Let x(r) be the second derivative of 0 - 2*r**2 - 1/3*r**4 - b*r**3 - 15*r. Factor x(a).
-4*(a + 1)**2
Let h be 2*(-88)/32*6/18*-6. Let g(q) be the second derivative of -h*q - 3/100*q**5 + 0 - 1/20*q**4 + 3/10*q**2 + 1/10*q**3. Determine a so that g(a) = 0.
-1, 1
Let p = -56867 + 227469/4. Suppose p*k**2 - k + 0 = 0. Calculate k.
0, 4
Let h(k) = 5*k**2 + 1837*k - 10444. Let p be h(-373). Let -2/17*x**4 + p + 4/17*x + 2/17*x**2 - 4/17*x**3 = 0. Calculate x.
-2, -1, 0, 1
Let a(o) be the third derivative of o**5/45 - 22*o**4/3 - 266*o**3/9 - 1083*o**2. Suppose a(f) = 0. Calculate f.
-1, 133
Let j(k) = 36*k**5 - 64*k**4 - 748*k**3 + 112*k**2. Let b(s) = -4*s**5 + 7*s**4 + 83*s**3 - 12*s**2. Let n(p) = 28*b(p) + 3*j(p). Find z such that n(z) = 0.
-4, 0, 5
Let v(s) be the first derivative of s**6/3 - 24*s**5 - 62*s**4 - 4*s**3/3 + 123*s**2 + 124*s + 10696. Solve v(u) = 0 for u.
-1, 1, 62
Let m(o) be the second derivative of -4/5*o**2 - 91/30*o**4 + 47*o + 0 + 143/100*o**5 + 34/15*o**3 - 7/30*o**7 + 14/75*o**6. Let m(b) = 0. Calculate b.
-2, 2/7, 1
Find h, given that -146*h + 21316 + 1/4*h**2 = 0.
292
Let i(b) be the third derivative of 0 - 7*b**2 - 1/300*b**5 + 1/30*b**3 + 0*b - 1/60*b**4 + 1/300*b**6. Factor i(f).
(f - 1)*(f + 1)*(2*f - 1)/5
Let c = 17098/3 + -5696. Determine s, given that -c*s - 4/3 + 10/3*s**3 - 2/3*s**2 + 2*s**4 = 0.
-1, -2/3, 1
Let k = 879079 + -6153505/7. Factor 3/7*m**3 + k*m**2 - 18 + 75/7*m.
3*(m - 1)*(m + 3)*(m + 14)/7
Let d(j) be the third derivative of 0 + 29*j**3 + 0*j + 231/8*j**4 - 1/5*j**5 - 63*j**2. Let d(g) = 0. Calculate g.
-1/4, 58
Let w(n) be the third derivative of n**8/56 - 2*n**7/105 - n**6/9 - 4*n**5/45 + 56*n**2 - 22*n. Factor w(t).
2*t**2*(t - 2)*(3*t + 2)**2/3
Factor -43/5 + 173/10*r + 1/10*r**3 - 44/5*r**2.
(r - 86)*(r - 1)**2/10
Factor 392/5*w - 391/5 - 1/5*w**2.
-(w - 391)*(w - 1)/5
Let b(t) be the third derivative of t**7/525 + 11*t**6/300 - 56*t**5/75 + 61*t**4/15 - 48*t**3/5 + 8934*t**2. Let b(j) = 0. Calculate j.
-18, 1, 2, 4
Let t(j) be the first derivative of -2*j**6/21 - 72*j**5 - 18900*j**4 - 1764000*j**3 + 3174. Solve t(v) = 0.
-210, 0
Determine l so that 47524 + 1/4*l**2 + 218*l = 0.
-436
Let x(b) be the first derivative of -26*b - 1/66*b**4 - 20/33*b**3 - 100/11*b**2 - 37. Let g(o) be the first derivative of x(o). Factor g(q).
-2*(q + 10)**2/11
Factor 44*z - 16*z**2 - 200/7 + 4/7*z**3.
4*(z - 25)*(z - 2)*(z - 1)/7
Let r(i) be the third derivative of 0*i**5 + 0*i**7 + 0 + 0*i + 0*i**3 + 1/84*i**4 - 1/210*i**6 - 187*i**2 + 1/1176*i**8. Solve r(y) = 0 for y.
-1, 0, 1
Let b(z) be the second derivative of -z**5/20 - 5*z**4/12 - z**3/3 - 5*z**2 + 19*z + 12. Let k be b(-5). Factor 0*j - 3/8*j**3 - 9/8*j**2 + k.
-3*j**2*(j + 3)/8
Factor -2*v - 4707*v**2 + 4713*v**2 + 2438*v**4 + 378*v**3 - 772*v**4.
2*v*(7*v + 1)**2*(17*v - 1)
Let v = -13289/3 - -4431. Let y(x) be the first derivative of -66/5*x**5 + 20/3*x**6 + 0*x + 0*x**2 - v*x**3 + 15/2*x**4 + 9. Suppose y(a) = 0. Calculate a.
0, 1/4, 2/5, 1
Let i(x) be the second derivative of 5/2*x**4 - 136*x + 7/10*x**5 + 0*x**2 + 0 + 3*x**3 + 1/15*x**6. Suppose i(l) = 0. What is l?
-3, -1, 0
Let p = 643 + -665. Let u(v) = 20*v + 48. Let b(j) = -j**2 + 100*j + 239. Let w(o) = p*u(o) + 4*b(o). Suppose w(i) = 0. What is i?
-5
Let f = 207 - 196. Factor -9*t**4 - f*t**4 - 32*t + 54*t**2 + 26*t**2 + 8*t**3.
-4*t*(t - 2)*(t + 2)*(5*t - 2)
Let w(y) be the first derivative of -3*y**4/4 + 2303*y**3 - 3981309*y**2/2 + 3974403*y + 9909. Solve w(k) = 0 for k.
1, 1151
Let p(j) be the second derivative of -j**4/36 - 119*j**3/18 + 20*j**2 + 132*j - 2. Factor p(i).
-(i - 1)*(i + 120)/3
Let z(w) be the first derivative of -w**3/6 - 5*w**2/2 + 12*w - 4391. Solve z(j) = 0 for j.
-12, 2
Let f(x) be the second derivative of x**6/1260 - x**5/105 + x**4/21 + x**3/6 - 9*x**2 + 16*x. Let n(d) be the second derivative of f(d). Factor n(l).
2*(l - 2)**2/7
Determine i so that -6202989 + 9*i**3 + 7*i**3 + 217140489 + 4500*i**2 + 1687500*i - 12*i**3 = 0.
-375
Factor -36*v + 31*v - 53*v - 308 + 4*v**2 - 8*v**2 + 2*v**2.
-2*(v + 7)*(v + 22)
Suppose -309 - 323 = -4*y - 3*i, y + 2*i = 158. Suppose 3 + y*s - 84 - 9 + 35*s**3 + 200*s**2 + 97*s = 0. Calculate s.
-3, 2/7
Let t(o) be the second derivative of -o**7/14 - 16*o**6/5 - 939*o**5/20 - 463*o**4/2 - 518*o**3 - 588*o**2 - 28*o + 5. Solve t(c) = 0 for c.
-14, -2, -1
Let w(s) = -2*s**3 - s**2 - 6*s + 2. Let z be w(0). Let v(m) be the second derivative of -m + 0 + 0*m**z - 1/20*m**5 - 2/3*m**4 - 8/3*m**3. Factor v(t).
-t*(t + 4)**2
Let m be (-506)/759*(35/(-8) + -3 + 7). Factor -15/4*f**2 - m*f**3 + 18*f - 19.
-(f - 2)**2*(f + 19)/4
Determine v, given that -35/4*v**3 - 1125/4*v - 425/4*v**2 + 0 + 1/4*v**4 = 0.
-5, 0, 45
Suppose -s - 3*q + 6 = 0, 3*q = -7*s + 11*s + 6. Let y = 12/5 + -2. Solve 4/5*b - y*b**2 + s = 0 for b.
0, 2
Let z(u) = -3*u**2 + 72*u - 2. Let p(j) = 16*j**2 - 353*j + 11. Let c(v) = 2*p(v) + 11*z(v). Factor c(l).
-l*(l - 86)
Let i(o) = o**2 - o. Suppose 2*x + 24 = 4*x. Suppose -33*m = -29*m - x. Let g(p) = 2*p**2 - p. Let t(j) = m*i(j) - g(j). Factor t(c).
c*(c - 2)
Let k(l) be the first derivative of -3*l**4/4 + 141*l**3 - 19881*l**2/2 + 311469*l - 1599. Factor k(y).
-3*(y - 47)**3
Let c(d) be the third derivative of -1/8*d**4 + 0 + 0*d + 1/240*d**6 - 13*d**2 - 1/40*d**5 + 2/3*d**3. Suppose c(p) = 0. What is p?
-2, 1, 4
Let v(u) be the first derivative of -u**6/6 + 16*u**5/15 - 5*u**4/12 + 754. Factor v(w).
-w**3*(w - 5)*(3*w - 1)/3
Let m = 14/183 - -1619/366. Let t(d) be the first derivative of -5*d + m*d**2 + 3/5*d**5 + 2/3*d**3 - 5/2*d**4 + 38 + 1/6*d**6. Factor t(z).
(z - 1)**3*(z + 1)*(z + 5)
Factor -274/3*x + 2/3*x**2 - 92.
2*(x - 138)*(x + 1)/3
Suppose 5152/9*v - 31574/9*v**2 + 214/9*v**4 - 2/9*v**5 - 5150/9*v**3 + 31360/9 = 0. Calculate v.
-5, -1, 1, 56
Let u(r) be the third derivative of r**5/60 - 82*r**4/3 - 219*r**3/2 - 2*r**2 + 198*r. Suppose u(w) = 0. What is w?
-1, 657
Let x be 6/102 + (-104)/(-1122) + 10/55. Determine j so that 1/3*j**5 + 2/3*j**4 + 0 + 0*j - 2/3*j**2 - x*j**3 = 0.
-2, -1, 0, 1
Let n(q) be the first derivative of 23/10*q**4 + 56/5*q**3 + 4/25*q**5 - 128/5*q + 16*q**2 + 182. Factor n(h).
2*(h + 4)**3*(2*h - 1)/5
Suppose -4*q + 6622 + 894 = 3*k, -k = -4. Let z be 1005/q - (-2)/(-8). Solve 0 + j**4 + z*j**2 - 2/7*j**5 + 0*j - j**3 = 0 for j.
0, 1/2, 1, 2
Let j = 50921/63 - 6452/7. Let a = -113 - j. Find p, given that -4/9*p**4 - 4/9 - a*p**3 + 2/9*p**5 + 2/9*p + 8/9*p**2 = 0.
-1, 1, 2
Let y(m) be the third derivative of -m**7/168 - m**6/12 - 3*m**5/8 - 17*m**3/2 + 42*m**2. Let d(u) be the first derivative of y(u). Find b such that d(b) = 0.
-3, 0
Let l = -2007 - -2007. Let h(z) be the third derivative of 0*z**4 + l + 1/12*z**3 + 7*z**2 + 0*z - 1/120*z**5. Factor h(x).
-(x - 1)*(x + 1)/2
Let a(t) be the second derivative of -t**4/60 + 13*t**3/30 - 3*t**2 - t + 424. Factor a(k).
-(k - 10)*(k - 3)/5
Factor -14231052/5*t + 5165871876/5 - 4/5*t**3 + 13068/5*t**2.
-4*(t - 1089)**3/5
Let a = -88 + 121. Suppose -18*h + 7*h + a = 0. Suppose -n**3 + n**4 + 2*n**3 - 2*n**3 - 6*n**2 + 2*n**h = 0. What is n?
-3, 0, 2
Let o(f) be the first derivative of 5*f**3/3 - 1905*f**2 + 725805*f + 7145. Suppose o(m) = 0. What is m?
381
Factor 14*f + 92*f**2 + 58*f - 767 - 280*f**2 + 93*f**2 + 94*f**2.
-(f - 59)*(f - 13)
Let m(p) be the first derivative of 25 + 18/5*p**3 - 3/20*p**4 - 51/10*p**2 + 0*p. Factor m(h).
-3*h*(h - 17)*(h - 1)/5
Let g be 130/(-234)*((-21)/14 - 6). Let q(s) be the second derivative of 5/9*s**3 + 0 - 16*s - 1/36*s**4 - g*s**2. Factor q(l).
-(l - 5)**2/3
Let b be (-41 - 6)*2 + -5. Let d be (46/(-132) + (-18)/b)*-9. Factor -3/2 + d*z**2 + 0*z.
3*(z - 1)*(z + 1)/2
Let l = 46/3 + -181/12. Let v = -11931 + 11932. Factor -v + l*g**2 + 0*g.
(g - 2)*(g + 2)/4
Let c(a) be the third derivative of -12*a**2 + 0*a + 1/840*a**7 - 1/96*a**6 + 3/32*a**4 + 1/80*a**5 + 0 + 0*a**3. Suppose c(k) = 0. What is k?
-1, 0, 3
Let b(j) be the first derivative of -5/51*j**6 - 4/17*j - 5/17*j**2 + 8/51*j**3 + 5/17*j**4 - 174 - 4/85*j**5. Let b(p) = 0. What is p?
-1, -2/5, 1
Let y = -40739 + 203703/5. Determine q, given that -4/5*q + 4/5*q**3 - 8/5 + y*q**2 = 0.
-2, -1, 1
