(z) be the first derivative of 0*z - 1/2*z**u - 1/6*z**3 - 27. Factor i(j).
-j*(j + 2)/2
Let w(k) = 7*k**2 - 130*k. Let y(b) = 38*b**2 - 650*b. Let f(a) = -11*w(a) + 2*y(a). Let f(d) = 0. Calculate d.
0, 130
Let -6921/7*k**3 - 24/7 - 2204/7*k - 1593/7*k**4 - 7158/7*k**2 = 0. Calculate k.
-3, -2/3, -2/177
Let r(i) be the second derivative of i**6/15 + 8*i**5/5 - i**4/2 - 50*i**3/3 - 32*i**2 - 157*i - 4. Find g such that r(g) = 0.
-16, -1, 2
Let w(k) = 8*k**4 - 58*k**3 - 381*k**2 - 326*k - 11. Let f(y) = -3*y**4 + 19*y**3 + 127*y**2 + 109*y + 4. Let d(g) = -11*f(g) - 4*w(g). Factor d(z).
z*(z + 1)*(z + 7)*(z + 15)
Let i(o) = 3*o**2 - 480*o + 19200. Suppose 12*s + 2*s = 98. Let l(r) = -6*r**2 + 960*r - 38400. Let c(h) = s*i(h) + 4*l(h). Solve c(b) = 0 for b.
80
Let d(s) be the third derivative of 1/1344*s**8 + 0*s**3 + 1/280*s**7 - 3 + 9*s**2 - 1/80*s**5 - 1/48*s**4 + 0*s + 1/480*s**6. Let d(h) = 0. What is h?
-2, -1, 0, 1
Let w = 159 + -103. Let m = -54 + w. Factor -10*s**m - 5 - 35 - s + 86*s.
-5*(s - 8)*(2*s - 1)
Let g = -93 + 85. Let i be (-3)/1 + (-2 - (g - -1)). What is v in 11*v + 4*v**3 - 6 - i*v**3 + v**3 - 12*v**2 + 4*v = 0?
1, 2
Let -2*p**2 + 10*p**2 - 26*p**4 - 14*p**3 + 7*p**3 + 743*p**5 - 8*p**3 - 746*p**5 = 0. What is p?
-8, -1, 0, 1/3
Determine s so that 191/2*s**3 + 24*s**4 + 70*s**2 + 0 - 3/2*s = 0.
-3, -1, 0, 1/48
Let v be 2/(28/(-49))*-1. Let g = 445291/30710 + 2/15355. Factor v + 2*l**2 + g*l.
(l + 7)*(4*l + 1)/2
Factor 688 + 256*l - 3093 - l**2 - l**2 - 2*l**2 - 1691.
-4*(l - 32)**2
Let c(b) be the second derivative of -1/60*b**5 - 7/9*b**3 - 1/4*b**4 - 4*b - 27 + 0*b**2. Factor c(s).
-s*(s + 2)*(s + 7)/3
Let o(b) be the second derivative of 54/5*b**2 + 12/35*b**7 + 68/5*b**3 + 0 + 74/25*b**6 - 472/25*b**5 - 106/15*b**4 - 70*b. Solve o(m) = 0.
-9, -1/3, 1/2, 3
Factor 27*p**2 + 1130*p - 95*p + 1040*p + 10*p**2 - 32*p**2 + 2070.
5*(p + 1)*(p + 414)
Find z, given that 1/2*z**3 + 1182816*z + 1332*z**2 + 350113536 = 0.
-888
Let m(u) = -u**2 - 8*u + 160. Let n be m(-16). Let y be 203/56 - (-2)/(n/6). Factor 20/3*q**2 + y - 28/3*q - 4/3*q**3.
-4*(q - 3)*(q - 1)**2/3
Let s be ((-604)/(-170) - (627/187 - 3))/((-12)/(-15)). Determine z, given that -s*z + 2/5*z**4 + 6/5*z**2 + 12/5*z**3 + 0 = 0.
-5, -2, 0, 1
Let q = -8159/126 + 1169/18. Find x, given that q*x**2 - 2/21*x**3 + 0 + 16/21*x = 0.
-2, 0, 4
Factor -3595*n - 12924025/2 - 1/2*n**2.
-(n + 3595)**2/2
Let t = 2788 - 125459/45. Let k(p) be the third derivative of -1/3*p**4 + 0*p + 0 + t*p**5 + 22*p**2 + 0*p**3. Factor k(w).
4*w*(w - 6)/3
Factor -1021*b**5 + 126*b**2 + 366*b**2 + 1071*b**4 + 994*b**5 + 1464*b**3.
-3*b**2*(b - 41)*(3*b + 2)**2
Let o(z) = -z**3 + z**2 + 6*z - 4. Let f be o(2). Suppose -f = -j - 1. Solve 0*h**2 - 4/3 - 2/3*h**j + 2*h = 0.
-2, 1
Suppose 436*l + 30 = 446*l. Let a(x) be the first derivative of -3/5*x**l - 3/20*x**4 + 6/5*x + 3/10*x**2 + 3/25*x**5 - 17. Solve a(t) = 0 for t.
-1, 1, 2
Suppose -160 = -4*u - 28*u. Suppose u*g = 8*g. Factor 3185/3*s**4 + 460/3*s**2 + 1715/3*s**5 + 40/3*s + 630*s**3 + g.
5*s*(s + 1)*(7*s + 2)**3/3
Let v = -643473/520 + 9929/8. Let j = v - 40/13. Determine m, given that 1/5*m**4 + j*m**2 + 3/5*m**3 + 0 + 1/5*m = 0.
-1, 0
What is y in 0 + 9752/7*y - 12/7*y**2 = 0?
0, 2438/3
Let g(v) be the first derivative of -8*v**3/27 - 5*v**2/3 + 8*v/9 - 75. Let g(c) = 0. What is c?
-4, 1/4
Solve -11*w**4 - 15*w**5 - 16/3*w + 184/3*w**3 - 16/3 + 136/3*w**2 = 0.
-2, -2/3, -2/5, 1/3, 2
Let t = 890 - 890. Let y be (-9)/(-3) + ((-20)/28 - 2). Determine b so that t*b + 2/7*b**4 + 0*b**3 + 0 - y*b**2 = 0.
-1, 0, 1
Let l(y) be the first derivative of -y**6/18 - 8*y**5/5 - 41*y**4/12 + 22*y**3/3 + 223. What is t in l(t) = 0?
-22, -3, 0, 1
Factor 0*f - 26 - 6*f**2 + 151 + f**2 + 62*f - 5*f**3 + 63*f.
-5*(f - 5)*(f + 1)*(f + 5)
Let y be 25*(-248)/(-16) + 4. Let x = y - 390. Let 0 + 1/2*v**2 + x*v**4 + 3/2*v**3 + 0*v + 1/2*v**5 = 0. What is v?
-1, 0
What is t in -3771/8*t + 0 - 1887/4*t**2 - 3/8*t**3 = 0?
-1257, -1, 0
Find j such that -2*j**5 - 189*j - 149*j + 17*j**2 + 24*j**3 - 16*j**4 + 380*j - 128*j + 27*j**2 + 36 = 0.
-9, -2, 1
Let f be (-33)/(-55) - (-44)/10. Let c(g) be the second derivative of -3/160*g**f - 1/8*g**4 - 5/16*g**3 - 3/8*g**2 + 3*g + 0. Factor c(a).
-3*(a + 1)**2*(a + 2)/8
Suppose 3*k - 2 = 4, x = 2*k + 8. Let q = 17765/564 + 1/564. Solve x - 123*v**2 - q*v**3 - 114*v = 0 for v.
-2, 2/21
Let c(h) be the second derivative of 0 - 1/19*h**4 - 17/190*h**5 + 0*h**3 + 0*h**2 - 1/133*h**7 - 14/285*h**6 - 53*h. Suppose c(b) = 0. What is b?
-3, -1, -2/3, 0
Let w(x) be the first derivative of -x**5/5 + 57*x**4/4 - 37*x**3 + 55*x**2/2 + 830. Solve w(h) = 0 for h.
0, 1, 55
Let j(a) = -a**3 + 9 + 8*a**2 - 7*a - 13*a**2 + 2*a**3. Let z be j(6). Find t, given that 2*t**2 + 4*t**4 + 4*t**z - 3*t**4 - 14*t**3 + 7*t**3 = 0.
0, 1, 2
Suppose -42/5*z + 3*z**3 + 48/5 - 21/5*z**2 = 0. Calculate z.
-8/5, 1, 2
Let q(f) be the second derivative of f**4/36 - 15*f**3/2 + 67*f**2/3 - 6*f - 18. Factor q(a).
(a - 134)*(a - 1)/3
Let q(y) be the second derivative of y**7/315 + 281*y**6/225 + 1988*y**5/15 + 1960*y**4/9 - 9923*y. Factor q(x).
2*x**2*(x + 1)*(x + 140)**2/15
Let l(z) be the third derivative of -z**5/120 + 101*z**4/24 - 10201*z**3/12 - 3*z**2 - 43*z. Determine y so that l(y) = 0.
101
Let x(w) be the second derivative of w**7/420 + w**6/20 + 63*w**5/200 + 77*w**4/120 - 4*w**3/5 - 27*w**2/5 - 344*w. Let x(h) = 0. Calculate h.
-9, -3, -2, 1
Suppose 0 = -5*w + 9 + 1. Let z = 2991853/5 - 598369. Find x, given that -z*x + 6/5*x**w + 0 + 2/5*x**3 = 0.
-4, 0, 1
Let b(i) be the second derivative of 23 - 1/5*i**5 - 3*i + 8*i**3 - 4/3*i**4 + 0*i**2. Suppose b(p) = 0. Calculate p.
-6, 0, 2
Let z = 552 + -547. Let d be z*2/100 - (-4)/60. Factor -2/3*i + 0 - d*i**2.
-i*(i + 4)/6
Let d(j) be the first derivative of 8*j**5/15 + 7*j**4/6 + 4*j**3/9 - j**2/3 + 1115. Determine b so that d(b) = 0.
-1, 0, 1/4
Let u be (-1)/((-12)/46) + (-2)/4. Let n = 213 - 209. Factor -n*h - 2/3*h**2 - u.
-2*(h + 1)*(h + 5)/3
Determine x so that -59*x**2 + 39*x**3 - 516*x + 23*x**2 - 111*x**2 + 261*x + 219*x = 0.
-3/13, 0, 4
What is b in 624/7*b - 2/7*b**3 + 1312/7 + 66/7*b**2 = 0?
-4, 41
Factor -69/4*o - 1/8*o**2 - 4761/8.
-(o + 69)**2/8
Let p(w) be the second derivative of w**5/50 + w**4/10 - 2*w**3/3 - 3*w - 56. Factor p(n).
2*n*(n - 2)*(n + 5)/5
Let x(f) be the first derivative of -2/27*f**3 + 0*f + 4/9*f**2 + 58. Factor x(t).
-2*t*(t - 4)/9
Let b(q) be the first derivative of 3*q - 3/10*q**5 + 1/3*q**4 + q**3 + 7 - 2*q**2. Let v(w) be the first derivative of b(w). Find x such that v(x) = 0.
-1, 2/3, 1
Suppose -150*h - 24*h**5 + 1108*h**3 - 1263*h**3 + 29*h**5 + 305*h**2 - 5*h**4 = 0. What is h?
-6, 0, 1, 5
Let q(a) = 56*a**2 + 11*a + 3. Let j be q(-4). Suppose 6*m**3 - 9*m**2 - 6*m**2 + 846*m**4 - j*m**4 + 3*m**5 - 33*m**3 = 0. What is m?
-1, 0, 5
Suppose -2*h + 6/7*h**3 + 0 - 1/7*h**4 + 9/7*h**2 = 0. Calculate h.
-2, 0, 1, 7
Suppose -2*k + 15*k - 4*k = 8*k. Let i(n) be the first derivative of k*n + 2/3*n**3 + 0*n**2 - 1/4*n**4 + 15. Determine g so that i(g) = 0.
0, 2
Solve -7 - 273394*t + 3 + 4 - 4*t**2 + 273870*t = 0.
0, 119
Suppose -2*s = 5*a + 1, 12*a - 2*s - 16 = 12*a. Determine j so that 2/5*j**4 + 26/3*j**2 + 32/15 + 62/15*j**a - 2/15*j**5 + 36/5*j = 0.
-2, -1, 8
Let u(m) be the first derivative of -2*m**5/35 + 6*m**4/7 + 4*m**3/3 - 12*m**2/7 - 26*m/7 + 1840. Determine d so that u(d) = 0.
-1, 1, 13
Let d(i) be the second derivative of -3*i**6/10 + 1489*i**5/40 - 5221*i**4/4 + 7339*i**3/4 - 1681*i**2/2 + 225*i - 1. Solve d(p) = 0 for p.
2/9, 1/2, 41
Let n(g) = -2*g**2 + 7*g + 8. Let x = 83 - 79. Let r be n(x). Suppose -r*k**3 - 311*k**4 + 153*k**4 + 4*k**5 + 150*k**4 + 8*k**2 = 0. Calculate k.
-1, 0, 1, 2
Let c(h) be the first derivative of 3*h**4/8 + 23*h**3/2 + 429*h**2/4 + 363*h/2 + 10933. Determine n, given that c(n) = 0.
-11, -1
Let i(t) = 17*t**2 + 57*t - 94. Let v(n) = 2*n**2 + n + 1. Let q(k) = -3*i(k) + 24*v(k). What is l in q(l) = 0?
-51, 2
Factor -1/2*x**3 - 37/4*x**2 - 18 - 81/2*x.
-(x + 6)*(x + 12)*(2*x + 1)/4
Let w = 26 - 24. Let 30 - 2*l**w + 10 - 8 = 0. What is l?
-4, 4
Let s be (7 - 2) + 6*(-10)/(-12). Suppose a**2 + 59*a - s*a - 44*a = 0. What is a?
-5, 0
