the first derivative of o**6/2 - 57*o**5/5 - 15*o**4 + 818. Factor f(i).
3*i**3*(i - 20)*(i + 1)
Let z(k) be the second derivative of 0 - 951/20*k**5 + 40*k - 7/5*k**6 - 20736/5*k**2 + 2592*k**3 - 522*k**4 - 1/70*k**7. Let z(u) = 0. Calculate u.
-24, 1
Let m = 15022 - 15022. Let n(i) be the second derivative of 0*i**3 + 0*i**2 + 3/20*i**5 + 0*i**4 + 0*i**6 + m - 18*i - 1/14*i**7. Factor n(z).
-3*z**3*(z - 1)*(z + 1)
Let m(y) = y - 16 + y + 14 + y**3. Let p be m(2). Determine h so that -h**3 - h**5 + 21*h**3 - 3*h**5 - 5*h - 11*h**5 - p*h**2 + 10*h**4 = 0.
-1, -1/3, 0, 1
Let x(k) be the second derivative of -1/140*k**5 + 1/42*k**3 + 0 + 0*k**2 + 1/42*k**6 + 94*k - 5/84*k**4. Suppose x(o) = 0. What is o?
-1, 0, 1/5, 1
Let k(g) be the second derivative of 1/12*g**3 - 17/4*g**2 + 218*g + 17/24*g**4 + 0 - 1/40*g**5. Factor k(d).
-(d - 17)*(d - 1)*(d + 1)/2
Let b(p) be the first derivative of 9 + 1/40*p**5 - 1/3*p**3 - 3*p + p**2 - 1/24*p**4. Let j(z) be the first derivative of b(z). Solve j(o) = 0 for o.
-2, 1, 2
Suppose 4*a - 13 = 4*z + 11, 2*z = -4*a. Suppose -2*s - 5*x - 1 = 0, -2*s + 0*s - 2*x = -a. Suppose 1/6*d**3 - 3/2 - 7/6*d**s + 5/2*d = 0. Calculate d.
1, 3
Suppose -2*s - 4*s + 4*s = -12. Let n(o) be the first derivative of -3*o**4 + 15/2*o**2 + 2*o**3 - 12/5*o**5 + 11 + 6*o - 1/2*o**s. Factor n(z).
-3*(z - 1)*(z + 1)**3*(z + 2)
Suppose 24*d - 3355 = 13*d. Factor -675*u - 5*u**3 - d - 833 - 105*u**2 - 77.
-5*(u + 3)*(u + 9)**2
Let o = -40253 - -442807/11. Factor 2/11*u - o + 2/11*u**2.
2*(u - 3)*(u + 4)/11
Suppose -41*y - 12148 = -43390. Suppose -4*u = 754 - y. Let 28/13*q + 98/13 + 2/13*q**u = 0. What is q?
-7
Suppose 2*g - 3 = 3*g - 2*w, 24 = 3*g + 5*w. Let q(m) = m**2 - 36*m - 107. Let s be q(42). Factor 3*v**g - 136*v - 12*v**2 + v**3 + s*v - v**3.
3*v*(v - 3)*(v - 1)
Let b(i) = -36 - 9*i**2 - 17*i**2 + 56*i**2 - 27*i - i**3 - 18. Let m be b(29). Suppose -29*s**2 + 13*s**2 + 9*s**2 + 11*s**2 + m*s**3 = 0. What is s?
-1, 0
Factor -3*u**2 + 69 + 129*u + 95 + 87 - 73 + 92.
-3*(u - 45)*(u + 2)
Let y(w) be the first derivative of 15 + 0*w - 1/4*w**4 - 2*w**3 + 0*w**2. Determine n so that y(n) = 0.
-6, 0
Let f(c) be the first derivative of -5*c**6/6 - 46*c**5 - 110*c**4 + 418. Find p such that f(p) = 0.
-44, -2, 0
Suppose -8*n = 4 - 60. Suppose n*l + 12 = 10*l. Factor 12*v**l - 12*v**2 - v**3 - v + 5*v**3 + 4*v**5 - 7*v.
4*v*(v - 1)*(v + 1)**2*(v + 2)
Let h be 3681 - 3674 - 2/((-14)/(-47)). Let 0*g + 0 - h*g**3 - 2/7*g**4 + 4/7*g**2 = 0. What is g?
-2, 0, 1
Let c(m) be the first derivative of -2/3*m**3 - m**2 + 24 + 12*m. Find f such that c(f) = 0.
-3, 2
Let t = 32701/7266 + -2/3633. Let r(a) be the first derivative of t*a**2 - 3/8*a**4 + 0*a - 1/2*a**3 - 10. Factor r(z).
-3*z*(z - 2)*(z + 3)/2
Suppose -37*p + 3*x + 4015 = -42*p, -2*x = -p - 803. Let y = -801 - p. Factor -5/6*h - 1/2*h**y + 1/3.
-(h + 2)*(3*h - 1)/6
Let 32/15*w**2 + 16/5*w**4 + 2/3*w**5 + 0 + 0*w + 24/5*w**3 = 0. What is w?
-2, -4/5, 0
Let c = -12935 + 12941. Let a(f) be the third derivative of -1/6*f**5 - 18*f**2 + 3*f**3 + 1/60*f**c + 0 + 1/4*f**4 + 0*f. Factor a(z).
2*(z - 3)**2*(z + 1)
Let -885/2*z + 219*z**2 + 3/2*z**3 + 222 = 0. Calculate z.
-148, 1
Factor -103*g - 250*g - 91*g**2 + 90*g**2.
-g*(g + 353)
Suppose -7*n - 4*n = 2819 - 2841. Let x(r) be the third derivative of 19*r**n + 0*r**4 + 0 + 1/20*r**6 + 0*r - 1/15*r**5 + 0*r**3. What is d in x(d) = 0?
0, 2/3
Let n = 345 - 330. Suppose -8*b - 35 = -n*b. Factor -4/7 + 18/7*c + 2/7*c**b - 32/7*c**2 + 4*c**3 - 12/7*c**4.
2*(c - 2)*(c - 1)**4/7
Suppose -954 = -5*w + 21. Let u = w - 191. Factor 2/5*f**2 + 1/5*f**5 - 1/5*f + 0 - 2/5*f**u + 0*f**3.
f*(f - 1)**3*(f + 1)/5
Factor -11708*a - 1251 + 11988*a - 905 + 4*a**2.
4*(a - 7)*(a + 77)
Let 1/4*m**5 + 51/4*m**3 - 13/4*m**4 + 0 + 0*m - 63/4*m**2 = 0. Calculate m.
0, 3, 7
Suppose 40*m - 197*m**3 + 86*m + 70*m + m**5 - 135*m**4 + 12 + 120 + 72*m**4 - 69*m**2 = 0. What is m?
-2, -1, 1, 66
Let l = -1/775 - -1583/25575. Let m(t) be the first derivative of -26/11*t**2 + 338/11*t + 24 + l*t**3. Factor m(g).
2*(g - 13)**2/11
Suppose 4*s = 11 + 5. Suppose 4*t + h - 47 = 0, 4*t + 1 = -s*h + 45. Factor -29*r + 2*r**3 - 3*r**2 + 4 + 13*r + t*r + r**4.
(r - 1)**2*(r + 2)**2
Solve 15*f**5 - 14*f**4 - 14*f**5 + 113*f + 166*f**2 + 114*f**3 + 10*f + 45*f**4 - 14*f + 27 = 0 for f.
-27, -1
Let -3378/17 + 2/17*i**2 + 3376/17*i = 0. What is i?
-1689, 1
Factor -2311*l + l**2 - 2245*l + 4548*l.
l*(l - 8)
Suppose -28*a + 18*a = -110. Suppose -12*b + a*b = -8*b. Let -5/2*z**4 - 7/2*z**2 + b - 3*z + 9*z**3 = 0. Calculate z.
-2/5, 0, 1, 3
Suppose -6*f + 12 = -7*f. Let y be ((-27)/f)/(132/96). Solve -y*v + 10/11*v**2 - 4/11 = 0.
-1/5, 2
Let n be (-8 + 4)*(-2)/(-4)*5575/(-892). Factor -115/2*d**3 + n*d**4 + 30*d**2 + 0*d + 0.
5*d**2*(d - 4)*(5*d - 3)/2
Factor 29*f**2 - 4*f**2 - f**3 + 200*f - 4105 - 1895.
-(f - 20)**2*(f + 15)
Suppose 0 = -134*w + 130*w - 3*x - 21, -2*w - 5*x - 49 = 0. Suppose 3*u - 3/4*u**2 - w = 0. What is u?
2
Let r(w) = -8 + 2*w**4 + 9*w - 13 - 41*w + 30*w**3. Let l(i) = -i**4 - 16*i**3 + 16*i + 10. Let n(x) = 11*l(x) + 6*r(x). Factor n(k).
(k - 2)*(k + 2)**3
Let x(l) be the second derivative of 0 + 7/3*l**4 + 59*l - l**5 - 4/3*l**3 + 0*l**2. Let x(b) = 0. Calculate b.
0, 2/5, 1
Let o(f) be the first derivative of -9*f**5/140 - 3*f**4/28 - f**3/21 + 67*f - 20. Let d(w) be the first derivative of o(w). What is h in d(h) = 0?
-2/3, -1/3, 0
Let m(u) = u**2 - 7*u. Let d be m(8). Suppose 4 = -0*j + j - 2*l, 2*j - d = l. Suppose 7*p + j*p**2 - 26*p + 100 - p - 20*p = 0. What is p?
5
Let l = -36 + 57. Let f = l + -17. Factor -3*h**4 + 0*h**f + 5*h**5 - 10*h**3 + 3 - 10*h**2 + 5*h + 8*h**4 + 2.
5*(h - 1)**2*(h + 1)**3
Let k be (-92 + -19)/(-37) + 0. Let -16/3*w**2 + 36*w - 20/3*w**k - 24 = 0. What is w?
-3, 1, 6/5
Let o(p) = -2*p**2 + 17*p - 16. Let a be o(7). Find j such that 0*j**5 - 4*j**5 - 3*j**3 + 8*j**5 - a*j**5 + 4*j**4 = 0.
0, 1, 3
Let l(x) be the second derivative of x**5/140 + 443*x**4/84 - 74*x**3/7 + 1745*x. Factor l(s).
s*(s - 1)*(s + 444)/7
Solve 0*c + 1/7*c**3 + 500/7 - 15/7*c**2 = 0.
-5, 10
Let z(t) = t**3 - 7*t**2 + 7*t - 4. Let m be z(6). Determine n so that 1/2*n**m + 1 - 3/2*n = 0.
1, 2
Suppose -h + 5*l + 5 = -8, -20 = -4*h + 4*l. Suppose 16*t - h = 45. Factor -4*o**4 - 45*o**2 + o**3 + 3*o**t + 77*o**2 - 48*o.
-4*o*(o - 2)**2*(o + 3)
Let m = -50077/40 - -1252. Let z(h) be the second derivative of -5/112*h**7 + 18*h + 0*h**2 + m*h**5 + 0*h**3 + 0 + 0*h**4 - 1/10*h**6. Factor z(c).
-3*c**3*(c + 2)*(5*c - 2)/8
Let y = 780 - 761. Factor -11*s**3 + 18 + 3*s**4 + 30*s**3 - 5*s**4 + 2*s**4 - y*s - s**4 - 17*s**2.
-(s - 18)*(s - 1)**2*(s + 1)
Let w = -1382602/7 + 197524. Suppose -36*i**2 - 408/7*i - 240/7 - 6/7*i**4 - w*i**3 = 0. Calculate i.
-5, -2
Let t(i) be the first derivative of -2*i**5/15 + 11*i**4/6 + 80*i**3/3 + 36*i**2 + 5277. Solve t(d) = 0.
-6, -1, 0, 18
Let u = 42 + -24. Factor 16*c + 2*c**2 - 13 + u + 9 + 0.
2*(c + 1)*(c + 7)
Factor 754 - 1076*q + 222*q**2 + 94 - 73*q**2 - 4*q**3 + 83*q**2.
-4*(q - 53)*(q - 4)*(q - 1)
Find g, given that 40 + 11/2*g - 1/2*g**2 = 0.
-5, 16
Let k(t) = -t**2 - 55*t - 741. Let z be k(-31). Let m(o) be the first derivative of -12*o - o**z - 15/2*o**2 + 9. Let m(v) = 0. Calculate v.
-4, -1
Suppose 18*y - 138 + 20 = -41*y. Suppose 30/17*w + 4/17 - y*w**2 = 0. What is w?
-2/17, 1
Let u(g) be the second derivative of 0 + 0*g**5 + 1/630*g**7 + 0*g**3 - g**4 - g + 0*g**2 - 1/180*g**6. Let v(k) be the third derivative of u(k). Factor v(r).
4*r*(r - 1)
Let i(k) be the first derivative of 1/12*k**6 + 1/3*k**3 + 0*k - 36 - 8/15*k**5 + 5/8*k**4 - 2/3*k**2. Find x, given that i(x) = 0.
-2/3, 0, 1, 4
Let z(k) be the first derivative of -4/21*k**3 - 11/7*k**2 - 18/7*k - 209. Factor z(o).
-2*(o + 1)*(2*o + 9)/7
Let j(f) be the second derivative of -1536*f**2 - 2*f - 42 + 1/90*f**5 - 4/3*f**4 + 64*f**3. Factor j(w).
2*(w - 24)**3/9
Let q be (1 + 0)*(74 + -78)*(126/(-120) - -1). Suppose 24/5*a - 28/5 - 3/5*a**2 - q*a**3 = 0. What is a?
-7, 2
Let s = -2272/3 + 3031/4. Let j(w) be the second derivative of -5*w**3 + 0 - s*w**4 + 16*w + 0*w**2. Determine m, given that j(m) = 0.
-6, 0
Let d(z) = 3*z**2 - 136*z + 1456. Let q be 4/6 - (-46)/(-6). Let 