t p be ((5676/154 - 36) + 66/21)*2/36. Find n such that -8/9*n - p*n**2 + 64/9 = 0.
-8, 4
Determine x, given that -166*x**3 - 120*x**2 - 158*x + 20*x + 48 - 394*x**2 + 54*x**4 - 446*x - 338*x**2 = 0.
-2, -1, 2/27, 6
Let m(k) be the first derivative of -k**5/25 - 4*k**4/5 + 6*k**3/5 + 8*k**2/5 - 17*k/5 - 2357. Factor m(v).
-(v - 1)**2*(v + 1)*(v + 17)/5
Suppose 85*k + 16 = 186. Let l(r) be the first derivative of -2/9*r**3 + 2/3*r**k + 38 - 2/3*r. Solve l(u) = 0 for u.
1
Let q = -691 + 696. Let k(i) be the third derivative of 1/15*i**q + 1/30*i**6 - 7*i**2 - 5/6*i**4 + 2*i**3 + 0 + 0*i. Factor k(t).
4*(t - 1)**2*(t + 3)
Let r = -132391 - -926739/7. Factor -8/7 - 18/7*i - 12/7*i**2 - r*i**3.
-2*(i + 1)**2*(i + 4)/7
Let j(o) be the second derivative of 2*o**6/15 + 18*o**5/5 + 23*o**4 + 104*o**3/3 - 27*o + 2. Factor j(c).
4*c*(c + 1)*(c + 4)*(c + 13)
Suppose -2/23*a**3 - 136/23*a**2 + 278/23*a - 140/23 = 0. Calculate a.
-70, 1
Let f(v) be the third derivative of -11/40*v**6 + 1/4*v**4 + 40*v**2 - 7/20*v**5 + 0*v**3 + 9/112*v**8 + 0 + 1/10*v**7 + 0*v. Let f(d) = 0. Calculate d.
-1, 0, 2/9, 1
Let b(p) be the third derivative of 0 - 5/6*p**3 - 1/8*p**5 + 10*p**2 - 1/96*p**6 - 15/32*p**4 + 0*p. Let b(y) = 0. Calculate y.
-4, -1
Let i(n) = 2*n**2 - 60*n - 9. Let k be i(30). Let g be ((-9)/(-30))/(k/15 + 1). Factor -1/4*d**2 + g*d + 0.
-d*(d - 3)/4
Let m(u) be the second derivative of 3*u**5/100 + 11*u**4/4 + 27*u**3/5 - 4314*u. Let m(k) = 0. What is k?
-54, -1, 0
Determine d so that 0 + 2/5*d**3 - 42/5*d**2 - 44/5*d = 0.
-1, 0, 22
Let k = -189963 + 189965. Factor -27/4*q**k + 75/4*q + 9/2.
-3*(q - 3)*(9*q + 2)/4
Let t(s) = 64*s**2 - 13164*s - 13256. Let p(g) = 7*g**2 - 1463*g - 1473. Let x(f) = 28*p(f) - 3*t(f). Find i such that x(i) = 0.
-1, 369
Let i be 0 + 3 + -9 + 70/5. Factor -d - 73*d - 78*d - i*d + 61*d**2 + 25 - 3*d**3 - 3*d**3.
-(d - 5)**2*(6*d - 1)
Let t(p) be the first derivative of -p**4 - 4*p**3/3 + 44*p**2 + 160*p + 378. Factor t(l).
-4*(l - 5)*(l + 2)*(l + 4)
Let z(h) be the first derivative of 0*h - 1/10*h**5 + 35/8*h**4 + 0*h**2 - 274 + 0*h**3. Determine t, given that z(t) = 0.
0, 35
Let p be 1344/252*(-6)/(-128) - 33/(-28). Suppose 2/7 + p*g**4 + 2/7*g**5 + 20/7*g**2 + 20/7*g**3 + 10/7*g = 0. What is g?
-1
Suppose -252 = 1033*w - 1040*w. Factor -3*q + 39*q + w*q**2 - 16 + 28*q.
4*(q + 2)*(9*q - 2)
Let n(b) be the first derivative of -b**5/180 - b**4/12 - 5*b**3/18 - 241*b**2/2 - 238. Let s(p) be the second derivative of n(p). Factor s(x).
-(x + 1)*(x + 5)/3
Let o(r) = 24*r**4 + 316*r**3 + 208*r**2 - 18*r - 18. Let l(j) = j**4 - j - 1. Let q(i) = 18*l(i) - o(i). Factor q(u).
-2*u**2*(u + 52)*(3*u + 2)
Factor -10/9*f**4 - 1/9*f**5 + 0*f + 0 + 23/9*f**3 - 4/3*f**2.
-f**2*(f - 1)**2*(f + 12)/9
Suppose 37*n + 12*n = 21*n + 812. Solve 125/2*z**3 + 0 + 4*z - n*z**2 - 63/2*z**5 - 24*z**4 = 0.
-2, 0, 1/3, 4/7
Let o(c) = -2*c**4 - 8*c**3 - c**2 + 1. Let h(z) = 19*z**4 + 152*z**3 + 10*z**2 - 10. Let a(f) = h(f) + 10*o(f). Factor a(v).
-v**3*(v - 72)
Let b(i) = -i**3 - 186*i + 3. Let a be b(0). Determine r so that 1 - 9/4*r**2 + 7/4*r**3 - a*r = 0.
-1, 2/7, 2
Let d(s) be the second derivative of 5*s**5/4 - 205*s**4/6 - 370*s**3/3 + 180*s**2 + 3404*s. Find j such that d(j) = 0.
-2, 2/5, 18
Let w(m) be the second derivative of 103*m + 1/4*m**3 + 9/8*m**2 + 0 - 1/6*m**4 - 3/40*m**5 - 1/120*m**6. Factor w(d).
-(d - 1)*(d + 1)*(d + 3)**2/4
Let v(f) = f**3 - 11*f**2 - 14*f + 27. Let r be v(12). Suppose -4*a + 2 = -r*a. Suppose 0*m - 9*m - 6*m + 4*m**a - m = 0. What is m?
0, 4
Let v(t) be the first derivative of -t**6/6 + 2*t**5 - 9*t**4/4 - 1384. Determine m, given that v(m) = 0.
0, 1, 9
Let c(y) be the first derivative of -y**5/240 + y**4/6 - 8*y**3/3 + y**2 + 44*y - 191. Let q(z) be the second derivative of c(z). Let q(l) = 0. Calculate l.
8
Let t be (-36)/(-42)*1568/294. Factor 2/7*h**4 - 14*h + 102/7*h**2 + t - 38/7*h**3.
2*(h - 16)*(h - 1)**3/7
Suppose 2*o - 10*o = -120. Solve -8*x**3 + 2*x**2 + x**3 + 12*x**3 + o*x**2 + 3*x**2 + 20*x = 0.
-2, 0
Let h(a) = -17*a**2 + 41*a + 180. Let d(g) = -37*g**2 + 84*g + 356. Let p(r) = 6*d(r) - 13*h(r). What is l in p(l) = 0?
-17, -12
Let f = -2886281/7 + 412337. Find l such that -f*l**2 + 9/7*l**5 + 0 - 201/7*l**3 + 102/7*l**4 + 0*l = 0.
-13, -1/3, 0, 2
Let f(j) be the first derivative of 5*j**4/2 + 18*j**3 + 22*j**2 - 48*j + 115. Factor f(i).
2*(i + 2)*(i + 4)*(5*i - 3)
Suppose -6*t = 16*t - 308. Let j(n) be the first derivative of -1/12*n**4 + 0*n**2 + 0*n + t + 1/5*n**5 - 2/9*n**3. Solve j(y) = 0 for y.
-2/3, 0, 1
Let n(z) be the first derivative of z**4/28 - 194*z**3/21 + 658*z**2 + 2744*z - 2743. Suppose n(u) = 0. What is u?
-2, 98
Let d(b) be the third derivative of -6*b**7/35 - b**6 + 23*b**5/15 - 2*b**4/3 - 2*b**2 + 917. Let d(s) = 0. What is s?
-4, 0, 1/3
Let w = -289528 - -289531. Factor -24/13*v - 12/13*v**2 - 2/13*v**w - 16/13.
-2*(v + 2)**3/13
Let k be (-20)/352 + 128/704. Let n(u) be the first derivative of k*u**6 + 0*u**2 - 1/4*u**3 - 3/16*u**4 + 0*u + 3 + 3/20*u**5. Factor n(d).
3*d**2*(d - 1)*(d + 1)**2/4
What is l in -49*l**4 + 2*l**5 + 79*l**3 + 102*l**2 + 145*l**4 + 122*l**3 - 5*l**5 = 0?
-1, 0, 34
Let f(m) be the first derivative of -m**4/8 - 5*m**3/4 - 9*m**2/4 + 3442. Determine t, given that f(t) = 0.
-6, -3/2, 0
Let j(p) be the first derivative of p**8/84 - 11*p**7/105 + p**6/12 + 12*p**2 - 2*p + 73. Let i(g) be the second derivative of j(g). Factor i(d).
2*d**3*(d - 5)*(2*d - 1)
Suppose -72 + 162 = 3*r. Let d be 2/(-4)*r/(-5). Let 8/3 + 0*h - 2/3*h**d - 2*h**2 = 0. What is h?
-2, 1
Factor -9900*l**2 + 142*l**5 + 132*l**4 - 25 + 16875*l - 139*l**5 + 25 + 1002*l**3.
3*l*(l - 3)**2*(l + 25)**2
Factor 40/3 - 2/9*x**3 - 10/3*x**2 + 8/9*x.
-2*(x - 2)*(x + 2)*(x + 15)/9
Suppose 5*j = 2*s - 140, -2*j + 4*s - 33 = 7. Let u be (-9)/(-3) + 50/j. Suppose 7/3*x**4 + 0*x - 1/3*x**2 + u*x**5 + 2/3*x**3 + 0 = 0. Calculate x.
-1, 0, 1/4
Let k be (32/20)/((-4)/(-10)) + 142. Factor -10 + 76*t - 5*t**3 + 75*t - 15*t**2 - k*t + 25.
-5*(t - 1)*(t + 1)*(t + 3)
Let a(m) be the first derivative of 0*m**2 + 4*m**5 + 0*m - 5/6*m**6 - 71 - 5/4*m**4 - 10*m**3. Suppose a(r) = 0. Calculate r.
-1, 0, 2, 3
Let l = -21 + 66. Let n = 47 - l. What is w in -17*w - 19*w - 9 + 3 + 4*w**n + 28*w + 8*w**3 + 2*w**4 = 0?
-3, -1, 1
Let c(r) be the first derivative of 2/5*r**3 - 78 + 1/10*r**4 + 0*r + 2/5*r**2. Solve c(p) = 0.
-2, -1, 0
Let q be 204/153*(-2)/(-8). Let l(b) be the first derivative of 11 - q*b**4 + 4/15*b**5 + 32/3*b - 8/3*b**3 + 8/3*b**2. Find i such that l(i) = 0.
-2, -1, 2
Let f be (-12)/12*((-8550)/15)/19. Solve 62/11*i**4 - 6/11*i**5 + 40/11 - 208/11*i - 218/11*i**3 + f*i**2 = 0 for i.
1/3, 1, 2, 5
Let j(v) = v**2 + 2*v - 3. Let n be j(-5). Suppose 11*w = 5*w + n. Factor w*m - 10*m**2 + 1 - 3*m**3 + 9*m**2 + m.
-(m - 1)*(m + 1)*(3*m + 1)
Let s = 2500/3 - 824. Let v = 255606 + -255604. Factor 32/3 + s*x**v - 40*x.
4*(x - 4)*(7*x - 2)/3
Let l be (310/30 - 8) + (-1287)/2808. Factor 0 - l*h**3 - 51/8*h**2 - 9/4*h.
-3*h*(h + 3)*(5*h + 2)/8
Let w = -6/115501 + 19295003/121969056. Let j = 3/352 + w. Factor -j*k**3 + 1/6*k + 1/2*k**2 - 1/2.
-(k - 3)*(k - 1)*(k + 1)/6
Let t be 4/130*(-12025)/(-3700). Factor 0*i**2 + t - 1/10*i**4 + 1/5*i**3 - 1/5*i.
-(i - 1)**3*(i + 1)/10
Let d(s) be the third derivative of -1/44*s**6 - 8/33*s**3 - 147*s**2 + 0 + 73/330*s**5 + 0*s - 25/66*s**4. Find a, given that d(a) = 0.
-2/15, 1, 4
Let d(v) be the first derivative of -v**3/12 - 17*v**2/8 - 35*v/2 - 762. Factor d(s).
-(s + 7)*(s + 10)/4
Let z(y) be the third derivative of 0 + 4*y - 9*y**2 + 4/15*y**6 + 4/105*y**7 - 5/252*y**8 + 2/9*y**5 - 1/6*y**4 + 0*y**3. Suppose z(r) = 0. Calculate r.
-1, 0, 1/5, 3
Let c(a) be the second derivative of 1/3*a**3 - 9/8*a**2 + 0 + 1/48*a**4 - 136*a. Factor c(g).
(g - 1)*(g + 9)/4
Let c(z) = 2*z**2 + 9*z - 14. Let o be c(-6). Suppose -8*n + 24 = -o*n. What is i in 2*i**2 - 11 - n*i**2 + 27*i - 7*i - 5 = 0?
1, 4
Let l(f) be the second derivative of -f**7/147 - 19*f**6/105 - 99*f**5/70 - 27*f**4/14 - 604*f. What is v in l(v) = 0?
-9, -1, 0
Suppose 94*i - 98*i = -52. Factor -7*y**2 + 36 - 36*y**2 + 154*y + i*y**2 - 43*y.
-3*(y - 4)*(10*y + 3)
Suppose -3*t = -l + 12, -4 = l + 3*t + 2. Factor 2*o**l -