, given that k(d) = 0.
-4, -1
Suppose 7*x - 2*x**2 + 43*x + 148 + 22*x**2 + 30*x - 5*x**3 - 468 = 0. Calculate x.
-4, 4
Find y such that 0 - 2*y**2 - 10/3*y**4 + 2/3*y - 6*y**3 = 0.
-1, 0, 1/5
Factor 4634*y + y**2 + 71*y**2 - 4*y**3 - 4958*y.
-4*y*(y - 9)**2
Let z(j) = 15*j - 96 - 17*j - 25*j - 126*j - 24*j**2. Let d(k) = 3*k**2 + 19*k + 12. Let u(m) = -33*d(m) - 4*z(m). Factor u(g).
-3*(g + 1)*(g + 4)
Let a(r) be the second derivative of r**4/54 + 4*r**3/9 + 3*r**2 + 367*r. Determine s so that a(s) = 0.
-9, -3
Let a = 37 - 35. What is s in -24 + 4*s + 16*s**2 + s**3 - 6*s**3 + a*s**3 + 7*s**3 = 0?
-3, -2, 1
Let j(c) be the second derivative of 1/36*c**3 - 26*c + 1/90*c**6 - 1/36*c**4 - 1/252*c**7 + 0*c**5 + 0 + 0*c**2. Determine w so that j(w) = 0.
-1, 0, 1
Suppose 607*f = 612*f. Let w(u) be the second derivative of 1/40*u**5 + 1/96*u**4 - 11*u + 0*u**2 + f*u**3 + 0. Factor w(o).
o**2*(4*o + 1)/8
Let t = -2500 - -2500. Solve t + 2*u**2 - 4/3*u = 0 for u.
0, 2/3
Suppose 7*w**4 - 8/5*w**2 - 43/5*w**3 + 16/5*w + 0 = 0. What is w?
-4/7, 0, 4/5, 1
Let h(c) be the third derivative of -c**6/360 + c**5/60 + c**4/8 - 19*c**3/6 + 5*c**2. Let o(g) be the first derivative of h(g). Find s, given that o(s) = 0.
-1, 3
Suppose -8*o - 28*o = 27*o - 12*o. What is z in 0 + 4/11*z**4 + 2/11*z**5 + o*z**2 + 2/11*z**3 + 0*z = 0?
-1, 0
Suppose 10*g = -11*g - 17*g. Let i(z) be the second derivative of -3*z - 4/3*z**3 + 0*z**4 + 0 + 1/10*z**5 + g*z**2. Factor i(k).
2*k*(k - 2)*(k + 2)
Let b(p) be the second derivative of -p**5/10 + p**4/3 + 7*p**3/3 + 4*p**2 - 66*p. Determine m, given that b(m) = 0.
-1, 4
Let p = 16 - 6. Suppose 3*w = 4*b - p, -b + 14 - 4 = 3*w. Solve -4*g**w + 4*g**4 + 11*g**3 + 12*g**2 - g**3 + 2*g = 0.
-1, -1/2, 0
Let w = -10 - -14. Let i be (w - 4)/(-2 + 1). Factor 2*x + 4*x**3 + 14*x**4 + 4*x**4 + i*x**3 + 2*x**3 - 10*x**2.
2*x*(x + 1)*(3*x - 1)**2
Let l be (1/12)/(4 - (-27)/(-18)). Let t(u) be the third derivative of 0 - l*u**5 - 4/3*u**3 + 1/3*u**4 - 2*u**2 + 0*u. Factor t(x).
-2*(x - 2)**2
Let w(c) be the third derivative of 21/40*c**6 + 0*c + 6/5*c**5 - 4*c**2 + 1/2*c**4 - 7/10*c**7 + 0*c**3 + 0. Solve w(u) = 0.
-2/7, 0, 1
Let v(s) be the second derivative of -s**4/27 + 16*s**3/27 + 40*s**2/9 - 27*s - 5. Find p, given that v(p) = 0.
-2, 10
Let i be 6*1 - (-3)/6*-4. Let 2*d**3 - 9*d**4 + 4*d**2 + 5*d**2 + 3*d - d**3 - i*d**3 = 0. What is d?
-1, -1/3, 0, 1
Let y(r) be the first derivative of -r**3/12 - 9*r**2/4 - 81*r/4 + 182. Factor y(i).
-(i + 9)**2/4
Let u(b) = 6*b - 180. Let i be u(30). Let n(t) be the first derivative of 2 - 1/8*t**2 + 0*t**3 + i*t + 1/16*t**4. Factor n(a).
a*(a - 1)*(a + 1)/4
Let y = 514 + -512. Let x(i) be the second derivative of 7*i + 1/8*i**5 + 0 + 1/2*i**y + 3/4*i**3 + 1/2*i**4. Factor x(b).
(b + 1)**2*(5*b + 2)/2
Let z(v) be the third derivative of v**8/336 + v**7/70 - v**5/15 - 16*v**2 + 2. Factor z(n).
n**2*(n - 1)*(n + 2)**2
Suppose 352 = -18*w + 20*w. Let j = w + -174. Suppose -24/5*n - 9/5*n**j - 12/5 = 0. What is n?
-2, -2/3
Let y = -2/273 + 33/364. Let j(f) be the third derivative of 5*f**2 + 0 + 0*f - 1/12*f**6 - 2/3*f**3 + 4/15*f**5 - y*f**4. Find q, given that j(q) = 0.
-2/5, 1
Suppose 3*x = 10*x - 98. Let d be (-21)/x + 9/2. Factor 2/5*m**d + 0*m**2 - 1/5 + 1/5*m**4 - 2/5*m.
(m - 1)*(m + 1)**3/5
Determine s, given that 2*s**2 - 6*s**2 - 8*s + 19282*s**4 - 19278*s**4 + 12*s**3 - 4*s**5 = 0.
-1, 0, 1, 2
Let x = 167/25 + -147/25. Find o, given that -2/5 - x*o - 2/5*o**2 = 0.
-1
Let o = 908 - 905. Let h(f) be the second derivative of -1/42*f**4 + 0*f**o + 0 + 0*f**2 - 2*f. Let h(j) = 0. Calculate j.
0
Factor 103 - 5*r**2 - 203 + 10*r + 95.
-5*(r - 1)**2
Let p(r) be the third derivative of r**5/180 + r**4 + 72*r**3 + 5*r**2. Factor p(i).
(i + 36)**2/3
Let g(v) be the first derivative of v**4/24 - 5*v**3/6 - 11*v**2/4 + 23*v - 18. Let z(u) be the first derivative of g(u). Suppose z(h) = 0. What is h?
-1, 11
Let v(i) be the second derivative of 8/3*i**3 - i**4 - 9*i + 0*i**5 + 1/15*i**6 + 0 - 3*i**2. Factor v(u).
2*(u - 1)**3*(u + 3)
Let q be (-47)/((-1645)/(-336)) + 10. Let -2/5*t**3 - 2/5*t**2 + q*t**4 + 2/5*t + 0 = 0. What is t?
-1, 0, 1
Suppose 46 = -71*d + 330. Determine t so that 0*t + 2/13*t**3 + 2/13*t**d + 0 + 0*t**2 = 0.
-1, 0
Solve -15 + 9/8*o + 3/8*o**2 = 0.
-8, 5
Solve 4*r**2 - 764*r + 453005 + 2*r**2 - 2561*r + 315*r - r**2 = 0 for r.
301
Let c be 2/18*((-356)/(-74))/(-1). Let f = -10/111 - c. Find m such that 0 - f*m**2 + 1/9*m**3 + 4/9*m = 0.
0, 2
Let m = 42 - 40. Factor -5*c + 6*c + 1 + c**m - 1.
c*(c + 1)
Let m(b) be the first derivative of 3*b**4/4 + 26*b**3 + 147*b**2/2 + 72*b + 429. Factor m(r).
3*(r + 1)**2*(r + 24)
Let -1/2*q**2 - 10 - 9/2*q = 0. What is q?
-5, -4
Factor -23 + 13 - 101*a - 70*a**2 - 44*a.
-5*(a + 2)*(14*a + 1)
Let w(y) be the first derivative of -2*y**3/33 - 5*y**2/11 - 33. Factor w(v).
-2*v*(v + 5)/11
Let u(x) be the third derivative of x**7/420 + x**6/30 + x**5/8 - 2*x**2 + 25*x. Factor u(t).
t**2*(t + 3)*(t + 5)/2
Suppose -5*z = 3 - 13. Suppose -2*h = -3*h + z. Factor -h*r - 6*r**2 + 6*r - 5*r**2 + 4*r**3 + 3*r**2.
4*r*(r - 1)**2
Let m(i) be the second derivative of -i**6/120 + i**5/20 - i**4/8 - 3*i**3/2 + i. Let a(b) be the second derivative of m(b). Find t such that a(t) = 0.
1
Let q(u) be the second derivative of u**6/600 - u**5/150 - u**4/120 + u**3/15 + 5*u**2 + 15*u. Let i(h) be the first derivative of q(h). Factor i(j).
(j - 2)*(j - 1)*(j + 1)/5
Let d(p) = -3*p**2 + 4*p. Let b(g) = g**2 + g + 1. Let r(n) = 2*b(n) - d(n). Let l be r(2). What is v in -4*v**2 + l - v - 18 + 9*v = 0?
0, 2
Let 4968/7*b**2 + 3/7*b**4 - 41472/7 + 5184*b + 213/7*b**3 = 0. What is b?
-24, 1
Let k(l) = 9*l**2 + 198*l + 1089. Let b(z) = -3*z**2 - 66*z - 363. Let i(c) = -7*b(c) - 2*k(c). What is o in i(o) = 0?
-11
Let s(n) be the first derivative of 2*n**3/3 - n**2 - 12*n + 343. Factor s(l).
2*(l - 3)*(l + 2)
Let p(a) be the second derivative of a**4/18 + 37*a**3/3 + 110*a**2/3 - 443*a. Solve p(m) = 0.
-110, -1
Let l(v) be the first derivative of v**4/16 - v**3/3 + 37. Suppose l(j) = 0. Calculate j.
0, 4
Find g such that -8/17*g**4 + 0 + 2/17*g**5 - 54/17*g**3 - 76/17*g**2 - 32/17*g = 0.
-2, -1, 0, 8
Let j(o) be the third derivative of 1/36*o**5 + 0*o - 5/9*o**4 + 0 - 45*o**2 + 35/18*o**3. Suppose j(s) = 0. Calculate s.
1, 7
Let x(y) be the first derivative of y**5/120 + y**4/8 + 3*y**3/4 + 3*y**2 + 5. Let d(z) be the second derivative of x(z). Factor d(v).
(v + 3)**2/2
Suppose -d = -5*x - 62, 0*x + 5*d = 2*x + 34. Let m be (6/(-9))/(2/x). Find p such that m*p**3 - 3*p**3 + 23*p**5 - 24*p**5 = 0.
-1, 0, 1
Let x(b) be the first derivative of 1/3*b + 12 - 7/18*b**3 - 5/12*b**2. Determine w, given that x(w) = 0.
-1, 2/7
Factor 36*u - 12*u**3 - 6*u**4 + 5*u**3 - 13*u**3 - 2*u**4 + 12*u**2 + 12*u**4.
4*u*(u - 3)**2*(u + 1)
Suppose -2*o - 2 = 5*b, 2*o - 3*b = -2*o - 4. Let v be (140/(-77) - o) + -1 + 2. Find d such that 0*d + 0 + 2/11*d**5 - v*d**3 - 4/11*d**4 + 4/11*d**2 = 0.
-1, 0, 1, 2
Let r(t) be the second derivative of 2*t**6/45 + t**5/5 - t**4/9 - 2*t**3/3 + 3*t + 24. Factor r(y).
4*y*(y - 1)*(y + 1)*(y + 3)/3
Suppose -24*g = -31*g + 14. Suppose 13*w + 9*w**2 + 0*w**3 + 2*w + g*w**3 - 25 - w**3 = 0. What is w?
-5, 1
Let i(c) be the third derivative of c**7/14 - 17*c**6/60 - 91*c**5/60 - 25*c**4/12 - 4*c**3/3 - 387*c**2. Let i(p) = 0. What is p?
-1, -2/5, -1/3, 4
Let q(a) = -a**3 - 15*a**2 - 2*a - 21. Let i be q(-15). Suppose -4*w + 7 = -i. Factor -14 - 5 - w*h**4 + 8*h**3 - 28*h + 12*h**2 + 12*h + 3.
-4*(h - 2)**2*(h + 1)**2
Suppose -143*k + 180*k = 148. Determine r, given that -3/5*r**2 + 0 - 3/5*r**k + 6/5*r**3 + 0*r = 0.
0, 1
Let t(w) be the third derivative of -w**7/105 + 2*w**6/15 - 13*w**5/30 + w**4/2 + 200*w**2. Factor t(b).
-2*b*(b - 6)*(b - 1)**2
Let v be 0*(25/(-10) - -2). Let z(m) be the first derivative of 0*m + v*m**2 + 0*m**3 - 3 - 1/18*m**4 - 2/45*m**5. Factor z(c).
-2*c**3*(c + 1)/9
Suppose -1 = -v - 2, 11 = 5*q + 4*v. Let -4*p**3 + q*p + 13 - 4*p**2 - 6 - 3 + p = 0. What is p?
-1, 1
Determine k, given that 2/3*k**3 + 94/3*k - 46/3 - 50/3*k**2 = 0.
1, 23
Let q be (-64)/44 + (-7 - (3 + -12)). Find m such that q*m - 10/11*m**4 - 4/11 - 6/11*m**3 + 14/11*m**2 = 0.
-1, 2/