of k(d). Let r(f) = 0. What is f?
1, 11
Let u = 190 - 268. Let x = -389/5 - u. Determine w so that 8/5*w - w**2 - 4/5 + x*w**3 = 0.
1, 2
Suppose 0 = -13*l + 16*l - 21. Factor -5*q**3 + q**2 - 3*q**2 + l*q**2 + 0*q**3.
-5*q**2*(q - 1)
Let d(v) be the first derivative of 3*v**5/5 + 3*v**4/2 - 15*v**3 + 6*v**2 + 60*v + 437. Find z, given that d(z) = 0.
-5, -1, 2
Let r(d) = 35*d**4 - 90*d**3 + 270*d**2 - 290*d. Let o(j) = j**4 - j**3 + j**2 + j. Let h(a) = 30*o(a) - r(a). Factor h(v).
-5*v*(v - 4)**3
Let z(p) be the first derivative of 3*p**4 - 13*p**3/3 + 2*p**2 - 19*p - 15. Let l(q) be the first derivative of z(q). Find m, given that l(m) = 0.
2/9, 1/2
Suppose i - 6 = -0. Suppose 4*x - 2*j + i*j = -8, 5*j = x - 10. Factor 6/11*q**3 + x*q - 2/11*q**5 - 4/11*q**2 + 0*q**4 + 0.
-2*q**2*(q - 1)**2*(q + 2)/11
Determine q, given that -5/2*q**2 + 0 + 3/2*q + 1/2*q**3 + 1/2*q**4 = 0.
-3, 0, 1
Let f(n) = -2071*n + 12428. Let g be f(6). Factor 2*h**g + 0 - 1/6*h**3 - 6*h.
-h*(h - 6)**2/6
Suppose -f = -j - 6, 4*f + 4*j = 16 + 8. Suppose -f*b + 15 = -b. Factor 8/3*o - 16/3 - 2/3*o**b + 4/3*o**2.
-2*(o - 2)**2*(o + 2)/3
Let m(u) be the first derivative of 3/2*u**2 + 1/9*u**3 - 35 + 0*u. Let m(o) = 0. What is o?
-9, 0
Determine n, given that 73*n**2 + 34*n**4 + 62*n**3 + 24*n + 0*n**4 - 257*n**2 + 121*n**3 - 357*n**3 = 0.
-1, 0, 2/17, 6
Let q(u) be the third derivative of -3*u**7/455 + 17*u**6/390 - 19*u**5/390 - u**4/26 + u**2 + 167. Find b, given that q(b) = 0.
-2/9, 0, 1, 3
Suppose -13 + 53 = 8*z. Suppose 1 = 4*a + y - 2, -4*a - z*y - 17 = 0. Factor 2/3*n**4 - 10/3*n**3 + 16/3*n**a - 8/3*n + 0.
2*n*(n - 2)**2*(n - 1)/3
Suppose 5*j - 5*p = -5, -3*p - 3 = 2*j + j. Let l be (0 - 1) + 3 - j. Factor -15*a + 0*a**2 - 4*a**2 + 0 + 3*a**4 + l*a**3 - 5*a**2 - 6.
3*(a - 2)*(a + 1)**3
Let u(k) = 10*k**2 - 23*k - 26. Let a(j) = -5*j**2 + 11*j + 12. Let h(q) = 13*a(q) + 6*u(q). Let h(p) = 0. What is p?
0, 1
Let l(g) be the first derivative of -5/2*g**2 - 3/4*g**4 - 1/5*g**5 + 0*g - 15 + 3*g**3. Find b such that l(b) = 0.
-5, 0, 1
Let j(g) be the second derivative of -g**7/273 + 2*g**6/195 + 3*g**5/130 - 4*g**4/39 + 4*g**3/39 + 283*g. What is i in j(i) = 0?
-2, 0, 1, 2
Let s(x) be the first derivative of 35*x**4/4 + 20*x**3 + 15*x**2/2 - 10*x - 18. Factor s(l).
5*(l + 1)**2*(7*l - 2)
Solve 30/7*g**2 + 0 - 27/7*g + 24/7*g**3 + 3/7*g**5 - 30/7*g**4 = 0.
-1, 0, 1, 9
Let k(r) = 23*r**2 + 4*r - 2. Let x = 31 + -28. Let u be k(x). Factor 3*f - f + 215*f**2 - u*f**2.
-2*f*(f - 1)
Let d(p) be the first derivative of p**4/2 - 176*p**3/3 + 173*p**2 - 172*p + 345. Let d(t) = 0. What is t?
1, 86
Let p = 312 - 309. Let d(f) be the third derivative of 0 + 1/30*f**4 - 5*f**2 + 1/5*f**p - 1/150*f**5 + 0*f. Factor d(g).
-2*(g - 3)*(g + 1)/5
Let y(v) be the second derivative of 1/3*v**3 + 0 + v - 2/3*v**4 + 0*v**2 + 1/15*v**5 - 1/360*v**6. Let n(s) be the second derivative of y(s). Factor n(z).
-(z - 4)**2
Let s be (-14)/(-5) + (-2)/(-10). Let g be 1310/(-30) + (-1)/s. Let n(a) = a**2 - 2*a - 10. Let t(y) = -1. Let f(l) = g*t(l) + 4*n(l). Factor f(c).
4*(c - 1)**2
Suppose 27 = -2*k + 5*k. Suppose 3*u = 12, -4*u + 28 = z + k. Determine o so that 3*o**2 - 6*o**3 - 4*o**5 - z*o**2 + 6*o**2 + 3*o - 3 + 7*o**5 - 3*o**4 = 0.
-1, 1
Suppose 0 = 5*q + 20, -3*u - 5*q - 13 + 2 = 0. Factor 39*y**2 - 2*y**3 - 16*y**u - 36*y - 18 + 30 + 3*y**4.
3*(y - 2)**2*(y - 1)**2
Let v(r) be the third derivative of -2*r**7/525 + r**6/150 + r**5/100 - r**4/60 - r**3/30 + 291*r**2. Find s, given that v(s) = 0.
-1/2, 1
Let w(c) be the second derivative of 0 + 22/3*c**4 - 16*c + 26/3*c**3 + 18/5*c**5 + 2/21*c**7 + 6*c**2 + 14/15*c**6. Factor w(u).
4*(u + 1)**4*(u + 3)
Let x be 9274/10*28/84. Let j = x + -309. What is y in -4/15*y - 2/5 + j*y**2 = 0?
-1, 3
Let z(r) be the second derivative of -r**6/15 - 2*r**5/5 + r**4/6 + 16*r**3/3 + 12*r**2 + 190*r. Suppose z(t) = 0. Calculate t.
-3, -2, -1, 2
Suppose -9*b = 24*b + 8*b. Let k(g) be the first derivative of 0*g - 7 + 0*g**3 + b*g**2 - 1/4*g**4 + 1/5*g**5. Factor k(n).
n**3*(n - 1)
Let o(u) be the second derivative of -u**6/6 - 7*u**5/5 - 11*u**4/4 - u**3/3 + 4*u**2 - 4*u + 7. Determine g, given that o(g) = 0.
-4, -1, 2/5
Let i(t) = -2*t**3 - t**2 - 1. Let v(a) = 15*a**3 + 5*a**2 + 105*a + 235. Let r(c) = -10*i(c) - v(c). Factor r(l).
5*(l - 5)*(l + 3)**2
Let b(t) be the first derivative of t**4/36 - 2*t**3/9 + t**2/2 - 4*t/9 - 420. Solve b(j) = 0.
1, 4
Suppose -17*d + 991 + 1219 = 0. What is m in -320*m - 45*m**3 + 224*m**2 + 230 - d + 129*m**2 - 68*m**2 = 0?
2/3, 5
Let u(c) = -c**2 + 18*c + 25. Let w(h) = 15*h + 24. Let k(l) = -3*u(l) + 2*w(l). Determine f so that k(f) = 0.
-1, 9
Let d(a) = a**5 + a**2. Let v(m) = -4*m**5 + 114*m**4 + 394*m**3 + 376*m**2 + 100*m. Let i(g) = -28*d(g) - 2*v(g). What is y in i(y) = 0?
-5, -1, -2/5, 0
Let u(h) be the second derivative of -h**7/42 - h**6/12 + 8*h**2 - 6*h. Let i(b) be the first derivative of u(b). Factor i(k).
-5*k**3*(k + 2)
Let x = 3896 + -15579/4. Solve 1/2*i**4 + i**2 + x*i**3 + 0 + 1/4*i = 0 for i.
-1, -1/2, 0
Suppose 1 = -4*i + 373. Factor -1 + 8*g + i*g**3 + 11 - 33*g - 98*g**3 + 20*g**2.
-5*(g - 2)*(g - 1)**2
Let z(r) be the second derivative of 3*r**5/50 + 4*r**4/15 - 101*r**3/15 - 14*r**2 - 234*r. Find v, given that z(v) = 0.
-7, -2/3, 5
Let u(x) be the first derivative of x**4/3 + 2*x**3/3 + 24*x - 32. Let a(h) be the first derivative of u(h). Find d, given that a(d) = 0.
-1, 0
Let j be 23 + -21 + -1 + (0 - -1). Determine w so that -15*w - 11 - w**2 + 5 - 2*w**j - 6 = 0.
-4, -1
Let y(o) be the third derivative of o**8/1344 - o**6/144 - 5*o**4/24 + 8*o**2. Let k(q) be the second derivative of y(q). Factor k(m).
5*m*(m - 1)*(m + 1)
Let u(h) be the third derivative of -h**6/360 + 7*h**4/72 - h**3/3 + 11*h**2 - 2*h. Factor u(l).
-(l - 2)*(l - 1)*(l + 3)/3
Let f(x) be the first derivative of 0*x**3 - 2/15*x**6 + 0*x**2 + 0*x - 12/25*x**5 - 2/5*x**4 - 31. What is w in f(w) = 0?
-2, -1, 0
Suppose 0 = 4*f + 81 + 3. Let q be 12/f*42/(-12). Find b, given that 4 + 9*b - 29*b**2 + 11*b**q + 5*b = 0.
-2/9, 1
Let o(z) = -z**4 + z**2 + z + 1. Let n(c) = 4*c - 3*c**2 + 4 - 6*c**4 + 16*c**2 - 7*c**2. Let k(r) = -n(r) + 4*o(r). Factor k(x).
2*x**2*(x - 1)*(x + 1)
Let g be (-14)/(-21)*69*4. Let r be g/20 - 3/15. Determine h so that 6*h - r + 23 - 10 - 2*h**3 = 0.
-1, 2
Let y = 4 + -2. Suppose y*b - b = 2. Let 6 - b + 2*a + 3*a**2 + a**3 - 4 = 0. Calculate a.
-2, -1, 0
Let l(w) be the third derivative of 1/21*w**3 + 0 - 1/21*w**4 + 1/70*w**5 + 0*w + 9*w**2. Let l(r) = 0. What is r?
1/3, 1
Factor 2/13*v**2 - 48/13*v + 288/13.
2*(v - 12)**2/13
Let m(n) = -14*n**2 + 22*n + 7. Let h(v) = 7*v**2 - 11*v - 4. Let w(c) = 5*h(c) + 2*m(c). Factor w(u).
(u - 2)*(7*u + 3)
Let c be (-14)/8*(-134 + 138) + (6 - -1). Find g, given that c - 3/8*g**4 + 9/4*g**3 - 27/8*g**2 + 0*g = 0.
0, 3
Factor -2*u**2 - 6 + 22 - 19 - 2*u + 43 + 44.
-2*(u - 6)*(u + 7)
Let n(v) be the third derivative of 4*v**7/1575 + v**6/225 - 11*v**5/450 - v**4/30 + v**3/5 + 31*v**2. Determine k, given that n(k) = 0.
-3/2, 1
Determine p, given that 4/7 + 32/7*p**2 - 18/7*p - 4*p**3 - 2/7*p**5 + 12/7*p**4 = 0.
1, 2
Solve -5*a**3 - 225 + 46*a**2 + 445*a - 7*a**2 - 84*a**2 - 170*a**2 = 0 for a.
-45, 1
Suppose 1728*n + 121/3*n**4 + 432 + 528*n**3 + 1992*n**2 = 0. What is n?
-6, -6/11
Let j(r) = r - 62. Let w be j(34). Let n be 6*(116/w + 5) + -4. Let -2/7*g**2 - n + 8/7*g = 0. Calculate g.
2
Let w(l) be the second derivative of 3/2*l**2 + 0 - 1/5*l**5 + 7/12*l**4 - 8*l + 7/3*l**3. Factor w(c).
-(c - 3)*(c + 1)*(4*c + 1)
Let s(h) be the second derivative of -17*h + 16/3*h**4 - 128/3*h**3 + 0 - 1/5*h**5 + 0*h**2. What is x in s(x) = 0?
0, 8
Let g(n) be the second derivative of 3*n**5/100 + n**4/5 + n**3/2 + 3*n**2/5 + 86*n. Solve g(k) = 0.
-2, -1
Let h(w) be the third derivative of 1/30*w**5 + 1/12*w**4 + 0*w + 0 - 14*w**2 + 0*w**3. Factor h(u).
2*u*(u + 1)
Let h(u) = 5*u**3 - 30*u**2 - 43*u + 116. Let m(c) = -21*c**3 + 120*c**2 + 171*c - 468. Let x(w) = -33*h(w) - 8*m(w). Factor x(f).
3*(f - 1)*(f + 4)*(f + 7)
Let k(o) be the second derivative of 0*o**4 - 21*o - 1/3*o**6 + 0*o**2 + 0*o**3 + 0*o**5 + 0 + 15/14*o**7. What is s in k(s) = 0?
0, 2/9
Suppose -4*x = -8, 4*v + x - 6 - 4