 ((-77)/21 + 3)*-3. What is h in k*h**5 + h**5 - 63*h - 2*h**5 - 27 + 9*h**4 - 30*h**2 + 18*h**3 - 4*h**5 = 0?
-1, 3
Let r(g) = -11*g - 39. Let s = 22 + -31. Let t be r(s). Determine i so that -8*i**4 + 2*i - 2*i - 25*i**2 - 10*i + 3*i**4 + t*i**3 - 20*i**5 = 0.
-2, -1/4, 0, 1
Suppose -183*z = -169*z - 2730. Let i be (-8)/35 - (z/35 + -6). Factor 18*j**3 + 0 - 17/5*j**2 - 216/5*j**5 + i*j - 108/5*j**4.
-j*(j + 1)*(6*j - 1)**3/5
Let w = 74569/4 - 18642. Let z(m) be the second derivative of -3*m**2 + 0 - 3/40*m**5 - w*m**4 + 7/4*m**3 - 27*m. Factor z(o).
-3*(o - 1)**2*(o + 4)/2
Let b(n) be the second derivative of -9*n**5/110 - 1775*n**4/22 + 7112*n**3/33 - 2372*n**2/11 - 4*n - 5. Factor b(x).
-2*(x + 593)*(3*x - 2)**2/11
Let v(r) = -7*r - 22. Let c be v(-3). Let y be 212/20 + (-4)/(-10) + c. Factor y + 2/3*z**2 - 32/3*z.
2*(z - 15)*(z - 1)/3
Let q = 54/79 - 677/1106. Let x(c) be the third derivative of 0*c - 2/21*c**3 - 13/420*c**5 - q*c**4 + 0 - 1/1470*c**7 + 10*c**2 - 1/140*c**6. Factor x(f).
-(f + 1)**2*(f + 2)**2/7
Suppose 1077/8*v**2 - 183/8*v - 45/2 + 9/4*v**3 = 0. Calculate v.
-60, -1/3, 1/2
Factor 0*b + 0 - 168*b**3 + 6/5*b**4 + 5880*b**2.
6*b**2*(b - 70)**2/5
Let s(y) be the third derivative of -1/40*y**5 + 0*y**4 + 0*y**3 - 3*y**2 + 0*y - 1/160*y**6 + 0 + 1/448*y**8 + 1/140*y**7. Determine q so that s(q) = 0.
-2, -1, 0, 1
Let m(d) be the third derivative of 17/42*d**4 + 0*d + 6 + 9*d**2 - 1/105*d**5 - 20/7*d**3. Factor m(k).
-4*(k - 15)*(k - 2)/7
Factor -8/11*w + 24/11 - 2/11*w**3 - 14/11*w**2.
-2*(w - 1)*(w + 2)*(w + 6)/11
Suppose 17*q = 19*q - 6. Let -8*y**2 - 16*y**2 + 20*y**2 + q*y - 10 + 5*y**2 = 0. What is y?
-5, 2
Find i, given that -219/2*i**4 - 3/2*i**5 + 453*i**3 + 921/2*i - 231/2 - 687*i**2 = 0.
-77, 1
Let z be 15/9 + -3 + 20/6. Solve 129*o**z - 12*o - 50 - 154*o**2 - 123*o = 0.
-5, -2/5
Let h be (69/(-15) + 3)*(1581/124 + -14). Find j, given that h + 169/2*j**2 + 26*j = 0.
-2/13
Factor 8/3*q**2 + 13/3*q + 1/3*q**3 + 2.
(q + 1)**2*(q + 6)/3
Let r(f) be the first derivative of -2/3*f**3 + 0*f - 8*f**2 + 12. What is w in r(w) = 0?
-8, 0
Let r(f) be the first derivative of 3*f**5/20 + 189*f**4/2 + 1005*f**3/4 + 753*f**2/4 - 11792. Find h such that r(h) = 0.
-502, -1, 0
Suppose -13956*d - 42744*d**3 + 12688 - 507*d**4 - 7186 - 6498 - 55197*d**2 = 0. Calculate d.
-83, -1, -2/13
Let u(m) be the first derivative of -m**7/21 - 7*m**6/15 - 8*m**5/5 - 2*m**4 + 43*m - 1. Let o(p) be the first derivative of u(p). Solve o(t) = 0.
-3, -2, 0
Let s(t) be the first derivative of -2/5*t**5 - 2*t**3 + 116 + 0*t + 2*t**4 + 0*t**2. Suppose s(i) = 0. Calculate i.
0, 1, 3
Suppose g = 5 - 2. Suppose -4*p - 43 = -l, 3*l - 8*l = g*p - 100. Determine i so that 7*i**3 - l*i**3 + 6*i**3 + 5*i**5 + 5*i = 0.
-1, 0, 1
Let d(w) = 681*w + 10217. Let m be d(-15). Find a such that -2/17*a**5 + 0 - 6/17*a**4 - 2/17*a**3 + 4/17*a + 6/17*a**m = 0.
-2, -1, 0, 1
Let z be (-3006)/(-1503) + (-2*3/6)/(-1). Solve 4/9*n**5 + 8/9*n**4 - 20/9*n + 56/9*n**2 + 0 - 16/3*n**z = 0 for n.
-5, 0, 1
Determine p, given that -1/7*p**4 - 32*p**3 + 450/7*p + 0 + 227/7*p**2 = 0.
-225, -1, 0, 2
Let m(n) be the first derivative of -n**5/35 + 5*n**4/14 + 23*n**3/21 + 6*n**2/7 + 1072. Let m(i) = 0. Calculate i.
-1, 0, 12
Let n(q) be the second derivative of 23*q**4/4 - 71*q**3/6 + q**2 + 1385*q. Determine g so that n(g) = 0.
2/69, 1
Let p = 158970 + -158967. Factor -2/7*a - 4/7 + 2/7*a**p + 4/7*a**2.
2*(a - 1)*(a + 1)*(a + 2)/7
Suppose -3*o + 1277 + 130 = 0. Let q = -10336 + 17784. Suppose -1696*c - 1231*c**2 - 160 - q*c**3 - 4397*c**2 - o*c**4 - 217*c**4 - 420*c**2 = 0. Calculate c.
-10, -2/7
Let s be 76/57 - 2*80/(-420). Find g such that 0 - s*g**3 + 16/7*g + 4/7*g**5 - 16/7*g**2 + 8/7*g**4 = 0.
-2, 0, 1
Factor 2*t**3 + 128*t + 1329*t**2 - 1467*t**2 - 277 - 4*t**3 - 656*t - 243.
-2*(t + 2)**2*(t + 65)
Find h such that 608/11 + 1214/11*h - 4/11*h**2 = 0.
-1/2, 304
Let u(z) = -50*z**4 - 1050*z**3 + 5865*z**2 - 8620*z + 3675. Let x(g) = -7*g**4 - 150*g**3 + 838*g**2 - 1230*g + 525. Let t(h) = -2*u(h) + 15*x(h). Factor t(b).
-5*(b - 3)*(b - 1)**2*(b + 35)
Let a(i) be the first derivative of -9 + 1/24*i**4 - 1/4*i**3 + 9*i + 0*i**2. Let p(n) be the first derivative of a(n). Find x, given that p(x) = 0.
0, 3
Suppose q - 107 = -104. Let g(n) be the second derivative of -1/5*n**2 - q*n + 0 + 0*n**3 + 1/30*n**4. Factor g(o).
2*(o - 1)*(o + 1)/5
Let d(m) be the second derivative of -m**6/10 + 3*m**5/5 - 5*m**4/4 + m**3 + 590*m. Factor d(i).
-3*i*(i - 2)*(i - 1)**2
Let f(o) = -4*o**5 + o**4 - o**3 - o**2 - 1. Let y(r) = 14*r**5 - 50*r**4 - 184*r**3 - 140*r**2 + 4. Let k(d) = -4*f(d) - y(d). Find m, given that k(m) = 0.
-18, -4, -1, 0
Let f = 565 - 565. Suppose f = 17*x - 14*x - 9. Solve 0 + 1/3*v**4 - 1/3*v**2 - 2/3*v**x + 2/3*v = 0.
-1, 0, 1, 2
Let j(t) be the first derivative of -104*t**5 + 61*t**4 + 268*t**3/3 + 4*t**2 - 326. Determine c, given that j(c) = 0.
-1/2, -2/65, 0, 1
Let r = -344437/5 + 344439/5. Factor -122/5*s + r*s**2 + 24.
2*(s - 60)*(s - 1)/5
Let f(l) = -l**4 + 2*l**3 + l**2 + 2. Let r(t) = 15*t**4 + 74*t**3 - 134*t**2 - 550*t - 373. Let o(a) = 5*f(a) - 5*r(a). Let o(u) = 0. Calculate u.
-5, -5/4, 3
Let x = 313 + -316. Let f be (18/(-63))/(x/7). Determine v, given that -4/9*v**3 + 8/9*v**4 + f*v**5 - 8/9*v**2 - 2/9*v + 0 = 0.
-1, -1/3, 0, 1
Let r(i) = 2*i**3 - 28*i**2 + 47*i + 14. Let l be r(12). Let a be (-15)/(-4) + (-3)/108*-9. Factor -5/2*z**l + 0*z + 0 + 15/2*z**3 + 5/2*z**5 - 15/2*z**a.
5*z**2*(z - 1)**3/2
Let o(n) = 2*n**4 + 42*n**3 - 15*n**2 - 145*n - 87. Let a(v) = -15*v**4 - 335*v**3 + 120*v**2 + 1160*v + 695. Let z(i) = -3*a(i) - 25*o(i). Factor z(d).
-5*(d - 2)*(d + 1)**2*(d + 9)
Let b(r) be the second derivative of -r**6/240 + 3*r**5/32 - 3*r**4/8 + 102*r - 10. Solve b(o) = 0.
0, 3, 12
Suppose -114*i = 306*i - 19740. Let k(o) be the third derivative of 1/42*o**4 + 0 - i*o**2 + 0*o + 1/420*o**6 + 1/70*o**5 + 0*o**3. Let k(h) = 0. What is h?
-2, -1, 0
Factor -46*z - 31*z + 515 - 5*z**2 - 3*z - 45*z + 65.
-5*(z - 4)*(z + 29)
Determine l, given that 0 - 14/17*l**3 - 2180/17*l**2 + 624/17*l = 0.
-156, 0, 2/7
Let q be (-290)/135*6*30/4. Let t = q + 97. Factor 4/3 + 0*m - t*m**2.
-(m - 2)*(m + 2)/3
Let c = -23207 - -23211. Factor -13/3*r**3 + 11/3*r**2 + 13/3*r + 1/3*r**4 - c.
(r - 12)*(r - 1)**2*(r + 1)/3
Factor 324/5*m + 0 + 72/5*m**2 + 3/5*m**3.
3*m*(m + 6)*(m + 18)/5
Suppose -86 = 2*w - 5*o, 3*o = -w + 382 - 326. Suppose -10225/2*j**3 + 28825/2*j**w - 5/4*j**5 - 56425/4*j + 18605/4 + 625/4*j**4 = 0. Calculate j.
1, 61
Factor -14/3*q**3 + 0*q + 0 + 16/3*q**2 - 2/3*q**4.
-2*q**2*(q - 1)*(q + 8)/3
Suppose a - 9 = -2*a. Suppose -531*u = -971*u. Solve 12/7 + 32/7*i + 24/7*i**2 - 4/7*i**4 + u*i**a = 0.
-1, 3
Let h(x) be the third derivative of -x**6/240 - x**5/20 - x**4/6 - 12*x**2 + 20. Determine p, given that h(p) = 0.
-4, -2, 0
Let m(q) be the second derivative of 11/3*q**3 + 4*q**4 + 13/5*q**5 + 0 + 14/15*q**6 + 1/7*q**7 + 52*q + 2*q**2. Determine x so that m(x) = 0.
-1, -2/3
Let u(i) = -55*i + 2102. Let l be u(38). Let s be 4 + -3*(-4)/(-6). Factor -76*t + 9*t**s + 110*t + l - 58*t.
3*(t - 2)*(3*t - 2)
Let z be (-1 - (-18)/20)/(6676/(-25035)). Solve -3/8*r**2 - 6*r + z*r**3 - 15/2 = 0.
-2, 5
Let c(w) = 15*w**5 + 237*w**4 - 801*w**3 + 18*w**2 + 18*w. Let d(j) = -7*j**5 - 119*j**4 + 400*j**3 - 8*j**2 - 8*j. Let r(z) = -4*c(z) - 9*d(z). Factor r(o).
3*o**3*(o - 3)*(o + 44)
Determine q, given that 2/3*q**3 + 232/3*q - 64/3*q**2 - 224/3 = 0.
2, 28
Let o(q) be the third derivative of -q**7/1995 + q**6/570 + 2*q**5/285 - 2*q**4/57 + 1173*q**2. Factor o(d).
-2*d*(d - 2)**2*(d + 2)/19
Let c(t) be the first derivative of -2*t**3/3 + 505*t**2 - 1008*t + 6651. Determine i, given that c(i) = 0.
1, 504
Let b = -1900 - -3204. Let g = 9140/7 - b. Factor -g*c - 18/7 - 2/7*c**2.
-2*(c + 3)**2/7
Let p(l) be the third derivative of 1/12*l**6 + 0 + 0*l**3 + 4/105*l**7 - 1/15*l**5 + 0*l + 35*l**2 + 0*l**4 - 1/56*l**8. Find u such that p(u) = 0.
-1, 0, 1/3, 2
Let b(m) be the second derivative of -2*m**7/21 - 184*m**6/15 - 772*m**5/5 + 58976*m**4/3 - 1172992*m**3/3 + 3444736*m**2 + 3785*m. Let b(l) = 0. Calculate l.
-58, 8
Factor 7360/17 + 1832/17*b**2 - 2/17*b**3 + 7352/17*b.
-2*(b - 920