 + 245798. Let u(z) = -19*f(z) + 6*r(z). Factor u(k).
-5*(k - 128)**2
Let p(s) be the second derivative of 54/5*s**2 + 6/5*s**3 + 2 + 1/20*s**4 + 84*s. Let p(v) = 0. What is v?
-6
Let k(t) be the second derivative of -7*t**6/10 - 75*t**5/2 + 597*t**4/4 - 208*t**3 + 114*t**2 - 3475*t. Find q such that k(q) = 0.
-38, 2/7, 1
Let u = 2/9077 + -118049/217848. Let i = -7/24 - u. Factor 9/4*l + 3/2*l**2 + i*l**3 + 1.
(l + 1)**2*(l + 4)/4
Let i(v) be the third derivative of 1/18*v**4 + 0*v**3 + 0 - 2/315*v**7 - v - 17/180*v**5 + 6*v**2 + 1/18*v**6. Factor i(n).
-n*(n - 4)*(2*n - 1)**2/3
Let p(z) be the third derivative of -z**8/112 + 11*z**7/70 - 17*z**6/20 - 2*z**5/5 + 20*z**4 - 64*z**3 - 67*z**2 - 2*z. Find n, given that p(n) = 0.
-2, 1, 4
Let a(z) be the second derivative of -3/4*z**3 + 1/48*z**4 + 17/8*z**2 - 93*z + 0. Let a(t) = 0. Calculate t.
1, 17
Factor -133530 + 34158 - 14378*c + 260*c**2 - 2*c**3 + 20*c**2 + 72*c**2.
-2*(c - 91)**2*(c + 6)
Suppose -73*w + 86*w - 143 = 0. Suppose w*n = -8*n. Suppose 0*m + 1/5*m**4 + 0*m**2 - 2/5*m**5 + n*m**3 + 0 = 0. Calculate m.
0, 1/2
Let c(a) be the first derivative of -a**3 - 30*a**2 + 63*a - 1101. Factor c(u).
-3*(u - 1)*(u + 21)
Let z be 8*(-12)/(-42) + 3232/(-1414). Let w be -3*(-2 - -1) + -1. Factor 1/6*a**w + z - 1/6*a.
a*(a - 1)/6
Let i(q) = q**3 + 6*q**2 + 3*q + 3. Let l be i(-3). Let s = -12 + l. Let -s*g + 9*g**3 - 133*g**4 - 3*g**2 + 145*g**4 - 12*g**2 + 3 = 0. What is g?
-1, 1/4, 1
Let q = 448 + -450. Let u(l) = -l**4 - 5*l**2 + 2*l. Let g(m) = -7*m**2 + 2*m + m**2 + 0*m**4 + m**4 - 3*m**4. Let z(d) = q*g(d) + 3*u(d). Factor z(b).
b*(b - 1)**2*(b + 2)
Let a(l) be the first derivative of l**7/420 + l**6/80 - l**5/120 - l**4/16 - 35*l**2/2 - 3*l - 286. Let k(i) be the second derivative of a(i). Factor k(j).
j*(j - 1)*(j + 1)*(j + 3)/2
Let r(b) = -8 - 11 + 11*b + 5 - 7*b**2 + 13*b**2 + b**3. Let h(g) = 2*g**3 + 6*g**2 + 13*g - 16. Let w(u) = 4*h(u) - 5*r(u). Factor w(d).
3*(d - 2)*(d - 1)*(d + 1)
Let t(c) = -4*c**2 - 5*c - 18. Let f(k) = -7*k**2 - 11*k - 35. Let l(b) = -3*f(b) + 5*t(b). Let j be l(-8). Factor 0*i + j + 20*i - 113*i**2 + 118*i**2.
5*(i + 1)*(i + 3)
Find k, given that 180*k + 58*k - 2*k**2 - 338*k = 0.
-50, 0
Determine s, given that -33/2 - 97/6*s**2 + 197/6*s - 1/6*s**3 = 0.
-99, 1
Determine h, given that 1/2*h**5 + 9/2 - 7/2*h**4 + 17/2*h - h**2 - 9*h**3 = 0.
-1, 1, 9
Let q(x) = 717*x + 28. Let d be q(8). Let h = 63476/11 - d. Suppose h*p**2 - 18/11*p**5 - 16/11*p + 78/11*p**4 + 0 - 116/11*p**3 = 0. What is p?
0, 2/3, 1, 2
Factor -100*t**2 + 10*t**2 + 910*t + 255*t + 872*t + 203*t - 5*t**3.
-5*t*(t - 14)*(t + 32)
Let c = 4841 - 33886/7. Factor 0 - 2/7*b + c*b**3 - 1/7*b**2.
b*(b - 2)*(b + 1)/7
Let d(m) be the first derivative of -2/5*m**3 + 4/15*m + 31 - 7/15*m**2. Determine r, given that d(r) = 0.
-1, 2/9
Let s(y) = -10*y**3 + 178*y**2 + 574*y - 754. Let p(u) = 90*u**3 - 1600*u**2 - 5174*u + 6788. Let m(g) = 6*p(g) + 52*s(g). Factor m(o).
4*(o - 20)*(o - 1)*(5*o + 19)
Let j = 71100 - 353291/5. Factor 94/5*o - j - 1/5*o**2.
-(o - 47)**2/5
Factor -6*j + 316*j**2 + 8 - 1269*j**2 + 318*j**2 + 313*j**2 + 320*j**2.
-2*(j - 1)*(j + 4)
Let a(u) be the third derivative of -u**7/210 - 2*u**6/3 - 79*u**5/60 - u**2 + 1047. Factor a(n).
-n**2*(n + 1)*(n + 79)
Let o(y) be the third derivative of y**7/315 + 61*y**6/180 + 131*y**5/30 + 91*y**4/4 + 54*y**3 - 4482*y**2. Solve o(s) = 0.
-54, -3, -1
Let r = 362 - 359. Factor 108*o**2 + 1062*o - 15*o**3 - r*o**4 + 1445*o - 1691*o + 1344.
-3*(o - 7)*(o + 4)**3
Determine s, given that 264/7*s**4 - 169*s**2 - 16/7*s**5 - 486/7*s - 473/7*s**3 - 8 = 0.
-1, -1/4, 4, 14
Suppose 40 = 17*x + 3*x. Suppose -11*h**2 - 3*h**3 + 4*h**2 + 6*h**2 + 6*h**3 + x*h**2 = 0. Calculate h.
-1/3, 0
Let s(g) be the first derivative of -2*g**4/15 + 2*g**3/5 - g**2/3 - 1126. Determine i, given that s(i) = 0.
0, 1, 5/4
Let m(y) = -6*y**4 + 44*y**3 + 154*y**2 + 264*y + 110. Let a(x) = x**4 + x**2 - 2*x + 1. Let b(h) = 10*a(h) + m(h). What is s in b(s) = 0?
-5, -3, -2, -1
Let c(y) be the third derivative of y**7/42 + y**6/6 - 3*y**5/4 - 15*y**4/2 + 458*y**2. Factor c(f).
5*f*(f - 3)*(f + 3)*(f + 4)
Let k(o) be the third derivative of 5*o**8/672 - 5*o**7/42 + 13*o**6/48 + 13*o**5/3 - 175*o**4/12 - 500*o**3/3 - 22*o**2 - 8*o. Determine z so that k(z) = 0.
-2, 4, 5
Let m = 7799/1173 + 7/391. Solve -8*z**3 + m*z + 8/3*z**4 + 4/3*z**5 + 8 - 32/3*z**2 = 0 for z.
-3, -1, 1, 2
Let l(g) be the third derivative of g**8/30240 - g**6/3240 + 61*g**4/24 + g**3/6 - g**2 - 3*g. Let r(i) be the second derivative of l(i). Factor r(j).
2*j*(j - 1)*(j + 1)/9
Let n = -63/307 + 55099/51576. Let r = n + -7/24. Suppose -6/7*k**2 + 16/7*k - r*k**3 - 8/7 + 2/7*k**4 = 0. Calculate k.
-2, 1, 2
Let f(o) be the second derivative of o**4/12 - 1060*o**3/3 + 561800*o**2 + 4*o - 130. Solve f(y) = 0 for y.
1060
Let j be (-12)/(-16)*16/6. Let f be 3/(28/210*5). Factor -3*s + 1/2*s**j + f.
(s - 3)**2/2
Suppose 11*j - 1428 = 17*j. Let x be ((-976)/j)/4 + (-20)/(-170). Suppose 0 + x*y**2 + 4/7*y**3 - 12/7*y**4 + 0*y = 0. Calculate y.
-2/3, 0, 1
Let f(j) = -19*j**2 - 8*j + 11. Let y be f(-1). Let z(x) be the first derivative of y*x - 3/20*x**4 + 6 - 2/5*x**3 - 3/10*x**2. Factor z(i).
-3*i*(i + 1)**2/5
Let x(c) be the first derivative of -7*c**5/180 - c**4/6 + 2*c**3/9 + 25*c**2 + 2*c - 215. Let v(w) be the second derivative of x(w). Factor v(y).
-(y + 2)*(7*y - 2)/3
Let z(o) be the first derivative of 5*o**4/16 - 35*o**3/12 + 5*o**2 + 20*o + 188. Factor z(g).
5*(g - 4)**2*(g + 1)/4
Let d = 15564/91 - 11820/91. Let 32/7*a**2 - 2/7*a**3 - 24*a + d = 0. What is a?
4, 6
Let s be 1377/306*(-16)/(-30). Let m = -3 + 6. Find a, given that -12/5*a + s - 138/5*a**m - 21*a**2 - 69/5*a**4 - 12/5*a**5 = 0.
-2, -1, 1/4
Let x(y) be the first derivative of -4*y**3/21 - 130*y**2/7 - 1200*y/7 - 8496. Factor x(s).
-4*(s + 5)*(s + 60)/7
Let d be (-5)/(-2) - (-3 + -6 + 11). Let t(r) be the second derivative of -2*r**3 - 1/20*r**5 + 9*r + 0 - 4*r**2 - d*r**4. Factor t(b).
-(b + 2)**3
Let q(f) be the first derivative of 10*f**3/3 - 11*f**2 + 6*f - 95. Let c(h) = h**2 + h + 1. Let d(i) = -6*c(i) + q(i). Factor d(a).
4*a*(a - 7)
Let b(r) = -15*r - 249. Let f be b(-24). Suppose -f = -86*a + 233. Factor -4/5*v**2 + 0*v + 2*v**3 + 0 - 4/5*v**a.
-2*v**2*(v - 2)*(2*v - 1)/5
Let m(q) be the second derivative of 31/54*q**4 - 4*q**2 - 1/189*q**7 - 3*q + 0*q**3 - 1/45*q**6 - 57 + 1/10*q**5. Find f such that m(f) = 0.
-3, -2, 1, 3
Let f be 214/(-1284) - (9/(-2) - (-2)/6). Let n be (-10)/(4*5/(-10)). Solve -5*h**f + 0 + 5*h**2 - 5/3*h**3 + 10/3*h - 5/3*h**n = 0 for h.
-2, -1, 0, 1
Let l(o) be the first derivative of -195/2*o**2 + 140 - 16*o**5 + 0*o - 790*o**4 - 1565/3*o**3. Find g such that l(g) = 0.
-39, -1/4, 0
Suppose 16184*b + 328/3*b**3 - 2108*b**2 - 108086/3 - 2*b**4 = 0. What is b?
11/3, 17
Let y(s) be the third derivative of -s**6/30 - s**5/5 + 3*s**4 + 1716*s**2. Factor y(r).
-4*r*(r - 3)*(r + 6)
Let q(u) be the first derivative of 2*u**5/5 + 18*u**4 + 572*u**3/3 - 684*u**2 + 722*u + 1300. Factor q(i).
2*(i - 1)**2*(i + 19)**2
Factor -9*a**2 - 71/2*a - 1/2*a**3 + 45.
-(a - 1)*(a + 9)*(a + 10)/2
Suppose 12 = 7*t - 5*t. Let d be 21/147 + (-26)/(-14). Find r, given that 3*r**4 - 3*r**2 + d*r**3 + r + 2*r**3 - t*r**3 - 2*r**5 + 3*r**3 = 0.
-1, 0, 1/2, 1
Suppose 289 = x + 26*a, -x - 670*a = -671*a + 8. Factor 69/7 - 342/7*u + 261/7*u**2 + 12/7*u**x.
3*(u - 1)*(u + 23)*(4*u - 1)/7
Let w = 2531678/7 - 361666. Let w*s**2 + 6*s**3 - 38/7*s - 20/7 = 0. What is s?
-5/7, -2/3, 1
Let i(y) be the third derivative of y**6/40 - 14*y**5/5 - 115*y**4/8 - 29*y**3 - 3*y**2 - 7*y - 49. Solve i(d) = 0.
-1, 58
Let f = 7889 - 7886. Let r(w) be the second derivative of 0 - 1/42*w**4 + 20*w - 4/21*w**f + 0*w**2. Let r(x) = 0. Calculate x.
-4, 0
Let u(k) = k**3 + 17*k**2 - 19*k - 45. Let v be u(-18). Let y = -22 - v. Solve 5*m**5 - 6*m**y + 5*m**3 + 6*m**5 - 10*m**4 = 0 for m.
0, 1
Let p(g) be the third derivative of g**5/27 - 17*g**4/54 + 4*g**3/9 + 1125*g**2. Factor p(m).
4*(m - 3)*(5*m - 2)/9
Suppose 6*a + 18 = 0, 7 = -41*w + 42*w - a. Factor 2/5*o**w + 8/5*o**3 - 6/5*o**2 - 28/5*o - 16/5.
2*(o - 2)*(o + 1)**2*(o + 4)/5
Let t = 21773 - 21771. Determine w so that