x(f).
2*(f + 6)**2
Let f(s) be the second derivative of 1/30*s**3 + 1/420*s**7 - 13*s + 0*s**2 - 1/300*s**6 + 0 + 1/120*s**4 - 3/200*s**5. Determine i so that f(i) = 0.
-1, 0, 1, 2
Suppose 156*c + 26 = 169*c. Let a = 42/11 + -135/44. Determine t, given that -a*t**3 + 0*t + 1/4*t**4 + 1/2*t**c + 0 = 0.
0, 1, 2
Let g(a) = -3*a**2 - 1416*a + 459. Let p(t) = -t**2 - 1416*t + 461. Let s(i) = -5*g(i) + 6*p(i). Factor s(n).
3*(n - 157)*(3*n - 1)
Let v be ((-2)/16)/(28/(-672)). Let p(h) be the second derivative of 0*h**v + 4*h**2 - h - 1/6*h**4 + 0. Factor p(w).
-2*(w - 2)*(w + 2)
Let j(r) be the first derivative of -2*r**3/33 - 2*r**2/11 + 6*r/11 + 9. Factor j(t).
-2*(t - 1)*(t + 3)/11
Suppose i - 5*i + 3200 = 0. Suppose 292*g**2 - i*g - 64*g**3 + 0*g**4 + 4*g**4 + 500 + 68*g**2 = 0. Calculate g.
1, 5
Let g be (-2)/6*(-19)/570*18. Factor 1/5*r**2 - 6/5 + g*r.
(r - 2)*(r + 3)/5
Let f = 54 + -14. Let c be 1/5 + 112/f. Let 0*w - w**c + 6*w**2 + 0*w - 12*w + 8 = 0. What is w?
2
Let a be (-21)/10 + (-14326)/(-5510). Let w be 6/9 - 8/(-6). What is t in 0 - 1/6*t**3 - 1/3*t - a*t**w = 0?
-2, -1, 0
Suppose -2*r + 2*p + 388 = 0, -5*r + 997 = -p + 5*p. Let t = 987/5 - r. What is d in 12/5*d**3 + t + 2/15*d**5 + 14/15*d**4 + 26/15*d + 44/15*d**2 = 0?
-3, -1
Let u(g) = -5*g**2. Let v(q) = 10*q**2. Suppose -5*m + m - 20 = 0. Let o(s) = m*u(s) - 3*v(s). Find d such that o(d) = 0.
0
Let v(g) be the third derivative of -g**5/5 - g**4/2 - g**2. Suppose -5 = 12*r + 7. Let o(x) = x**2 + x. Let t(l) = r*v(l) - 9*o(l). Factor t(z).
3*z*(z + 1)
Let b(o) = -2*o**3 + 12*o**2 - 2*o - 16. Let h(n) = n**2 - 1. Let s(v) = -b(v) + 4*h(v). Let s(d) = 0. Calculate d.
-1, 2, 3
Let -3/2 - 19/4*x - 9/4*x**3 - 21/4*x**2 - 1/4*x**4 = 0. Calculate x.
-6, -1
Let b be 2 - -12 - (10 - 0). Let j(m) be the first derivative of -2/5*m + 1 - 2/5*m**3 - 1/10*m**b - 3/5*m**2. Solve j(x) = 0.
-1
Let h(o) = -o**3 + 1. Let p(r) = 43*r**2 + 5*r**3 - 25*r - 31*r**2 + 9 - 1. Let b(c) = -6*h(c) + 3*p(c). Suppose b(f) = 0. Calculate f.
-3, 2/7, 1
Factor 10/11*p**3 + 0*p + 0 - 4/11*p**2.
2*p**2*(5*p - 2)/11
Suppose a - 1 = 1. Suppose i = 2*i - a. Factor 9*g**i - 241 + 241 - 3*g.
3*g*(3*g - 1)
Let c(z) = z**3 - 21*z**2 + 73*z + 258. Let f be c(15). Factor 1/2*k**f + 0 - 4*k - k**2.
k*(k - 4)*(k + 2)/2
Factor 0 + 1/4*x**2 - 1/8*x - 1/8*x**3.
-x*(x - 1)**2/8
Let h be ((-3)/((-30)/(-5)))/(14/(-424)). Let z = 551/35 - h. Let 0*d - 6/5*d**3 - 3/5*d**4 - z*d**2 + 0 = 0. What is d?
-1, 0
Let v(b) be the first derivative of -b**2 - b + 33 - 1/3*b**3. Find k such that v(k) = 0.
-1
Let z(c) be the first derivative of c**4/28 - c**3/21 - c**2/7 + 80. Factor z(o).
o*(o - 2)*(o + 1)/7
Let j(b) be the first derivative of -3*b**4/2 + 50*b**3/3 - 8*b**2 + 94. Solve j(y) = 0 for y.
0, 1/3, 8
Let l = 53 - 48. Let o(s) be the first derivative of 2 - 1/4*s**2 + 2/5*s**l + 2/3*s**3 - 1/12*s**6 - 3/4*s**4 + 0*s. Factor o(a).
-a*(a - 1)**4/2
Let f(g) be the first derivative of -g**6/36 + 23*g**5/10 - 529*g**4/8 + 12167*g**3/18 + 339. Find j, given that f(j) = 0.
0, 23
Let c(k) = -43*k - 39. Let n be c(-1). Let g(j) be the first derivative of -1/8*j**4 + 1/4*j**2 - n + 1/3*j - 1/9*j**3. What is l in g(l) = 0?
-1, -2/3, 1
Let r(c) be the third derivative of -4*c**3 + 0*c + 0 - 7/4*c**4 + 39*c**2 + 1/70*c**7 + 1/10*c**6 - 3/20*c**5. Let r(s) = 0. Calculate s.
-4, -1, 2
Let d(o) = -2*o**3 + 8*o**2 - 9*o - 3. Let x be d(5). Let p be x/(-35) + 4/(-5). Solve 1/3*m**5 + 0*m + 0*m**3 - 1/3*m**4 + 0*m**p + 0 = 0.
0, 1
Factor -176*a - 7*a**3 + 5 - 81*a**2 - 293 + 5*a**3 + 43*a**2 + 4*a**2.
-2*(a + 4)**2*(a + 9)
Factor -1568/3 + 112/3*h - 2/3*h**2.
-2*(h - 28)**2/3
Let 1/2*m**3 + 0 + 5/2*m - 3*m**2 = 0. What is m?
0, 1, 5
Let w(j) = j**2 - 9*j + 4. Let s be w(9). Let l be 1/6 - ((-20)/15)/s. Determine t so that -5/4*t - l - 1/4*t**3 - t**2 = 0.
-2, -1
Let z(t) be the third derivative of -5/8*t**4 - 1/12*t**5 - 24*t**2 + 0*t**3 + 0 + 0*t. Find f, given that z(f) = 0.
-3, 0
Let r be 6/(-4)*(-32)/12. Suppose 0 = 2*b + 5*s - 25, -b - b = r*s - 20. Factor 2/13*u**2 + 2/13*u**3 - 2/13*u**4 - 2/13*u + b.
-2*u*(u - 1)**2*(u + 1)/13
Let x be 370/56 - 97/(-679). Factor -3/4*u**2 - x + 9/2*u.
-3*(u - 3)**2/4
Let m = 44 - -17. Find f, given that 2*f**4 - 67*f**2 + 0*f**4 + m*f**2 + 4*f = 0.
-2, 0, 1
Let z = -236 - -240. Let l(j) be the first derivative of z - j - 1/6*j**3 + 3/4*j**2. Let l(t) = 0. Calculate t.
1, 2
Suppose 2*j - 78 = -3*f, -3*j - f + 169 = 2*j. Let c = j - 31. Factor 12*k - 3 + 15*k**c + k**3 + 0*k**3 - 9 - 10*k**3.
-3*(k - 2)*(k + 1)*(3*k - 2)
Find w, given that 57*w + 0*w**4 - 3*w**4 - 14*w**3 + 14*w**4 + 80*w**3 - 288*w**2 - 3*w**5 + 103*w = 0.
-5, 0, 2/3, 4
Let l(m) = -m**2 - 15*m + 4. Let x be l(-15). Solve 2*b**5 - 3 + 7 + 8*b**4 - x = 0.
-4, 0
Let o(t) = 54*t**2 - 28*t - 4. Let y = -47 + 43. Let f(v) = 54*v**2 - 27*v - 5. Let g(a) = y*f(a) + 3*o(a). Suppose g(b) = 0. Calculate b.
-2/9, 2/3
Let t(h) be the first derivative of 15 + 0*h**2 - 4/3*h**3 - 7/3*h**6 + 24/5*h**5 - 3/2*h**4 + 0*h. Determine n, given that t(n) = 0.
-2/7, 0, 1
Let f(w) be the first derivative of w**7/2940 + w**6/420 - w**5/420 - w**4/28 + 2*w**3/3 + 2. Let b(y) be the third derivative of f(y). Solve b(j) = 0.
-3, -1, 1
Let r(q) = -9*q**2 - 18*q. Suppose 10 = -20*t + 25*t. Let f(b) = -3*b**2 - 6*b. Let k(w) = t*r(w) - 7*f(w). Solve k(v) = 0 for v.
-2, 0
Let p be (-9784)/(-70) - (-3)/(-15). Let q = p + -139. Factor 2*l + 2/7*l**4 + 18/7*l**2 + q + 10/7*l**3.
2*(l + 1)**3*(l + 2)/7
Let g(m) be the first derivative of m**6/360 + m**5/120 - m**4/12 + 16*m**3/3 + 22. Let y(o) be the third derivative of g(o). What is z in y(z) = 0?
-2, 1
Let h = -868 + 868. Factor h + 3/4*s**2 - 1/2*s - 1/4*s**3.
-s*(s - 2)*(s - 1)/4
Let p(b) be the second derivative of 5*b**8/84 + 4*b**7/105 - 13*b**2/2 + 14*b. Let o(t) be the first derivative of p(t). Factor o(k).
4*k**4*(5*k + 2)
Let y(a) be the first derivative of -15/2*a**2 + 6*a**5 - 26 + 0*a - 15*a**4 - 5/6*a**6 + 50/3*a**3. Determine x, given that y(x) = 0.
0, 1, 3
Determine g so that 71*g**2 - 9*g + 31*g**2 - 103*g**2 + 10 = 0.
-10, 1
Let g(m) be the third derivative of m**5/180 - m**4/9 + 5*m**3/6 - 7*m**2 - 2. Factor g(u).
(u - 5)*(u - 3)/3
Let y(b) be the second derivative of 2*b**5/5 - 3*b**4 + 8*b**3 - 10*b**2 - 7*b - 13. Factor y(z).
4*(z - 1)**2*(2*z - 5)
Suppose -3*d + 4 = -3*u + 34, -23 = -2*u - d. Let w be ((10 + -1)*u/(-22))/(-6). Suppose 1/4*l**2 + l + w = 0. Calculate l.
-3, -1
Let u = -6 + 10. Let k(m) be the first derivative of 9/4*m - 3/16*m**u - 6 + 1/4*m**3 + 15/8*m**2. What is s in k(s) = 0?
-1, 3
Let f be (-175 - 1) + -7*4/(-14). Let s = -171 - f. Find x, given that -7/5*x - x**s + 2/5 + 9/5*x**2 + 1/5*x**4 = 0.
1, 2
Suppose 18 = -d + 5*o, -2 = 5*d - 3*o - 0*o. Suppose d*g - 4*m - 7 = -3*m, 2*g = -5*m - 11. Factor 3 - 4*c**2 + c - c**3 + c**2 + 2*c**2 - g*c**2.
-(c - 1)*(c + 1)*(c + 3)
Let r(t) be the third derivative of t**5/450 - 29*t**4/90 + 841*t**3/45 - 96*t**2. What is a in r(a) = 0?
29
Let z be (3 - 0)/((-128)/8 + 17). Let v(k) be the third derivative of -1/9*k**4 - z*k**2 + 0 + 1/90*k**6 + 1/30*k**5 + 0*k - 4/9*k**3 - 1/315*k**7. Factor v(h).
-2*(h - 2)**2*(h + 1)**2/3
Let j(f) = f**2 - 10*f + 9. Let m be (3 - 15)*3/(-4). Let u be j(m). Determine n so that u + 3/2*n - 1/2*n**4 + 1/2*n**3 + 5/2*n**2 = 0.
-1, 0, 3
Let o(k) be the first derivative of 0*k**2 + 0*k - 2/35*k**5 - 4/21*k**3 + 3/14*k**4 + 7. Factor o(u).
-2*u**2*(u - 2)*(u - 1)/7
Let q(s) be the second derivative of -8*s + 5/2*s**2 - 5/12*s**4 - 1/4*s**5 + 0 + 5/6*s**3. What is u in q(u) = 0?
-1, 1
Let f(l) = 28*l**4 + 94*l**3 + 121*l**2 + 35*l - 5. Let j(m) = -2*m**3 + m**2 - m - 1. Let s(p) = f(p) - 5*j(p). Factor s(z).
4*z*(z + 1)*(z + 2)*(7*z + 5)
Let j(o) be the second derivative of o**5/100 + o**4/60 - o**3/15 - o + 3. Factor j(u).
u*(u - 1)*(u + 2)/5
Suppose 0 = p - 5*f + 21, -97*p - 5*f + 13 = -100*p. Suppose -2/3*l - 4/3*l**p + 4/3*l**3 + 8/3*l**2 - 4/3 - 2/3*l**5 = 0. Calculate l.
-2, -1, 1
Let a = 1/231 + 151/693. Suppose 119*t = 123*t - 8. Factor -2/9 - 2/3*p**t - 2/3*p - a*p**3.
-2*(p + 1)**3/9
Let c = 161/894 - 2/149. Let u(m) be the first derivative of -1 + 0*m - c*m**2 - 7/18*m**3. Solve u(y) = 0 for y.
-2/7, 0
Let