4 + b*v - 8 = 0?
2/3, 2
Let p(k) be the first derivative of 2*k**6/3 + 4*k**5 - 48*k**4 + 112*k**3/3 + 160*k**2 - 261. Determine j so that p(j) = 0.
-10, -1, 0, 2, 4
Suppose 20*j = 29 + 171. Solve 36*x**2 + 120*x - j*x**3 - 400 + 23*x**3 - 11*x**3 = 0 for x.
-10, 2
Let u(m) = -m**5 + 2*m**4 - 2*m**2 + 1. Let x(d) = d**5 - 46*d**4 + 4006*d**2 + 20000*d - 3. Let j(i) = 3*u(i) + x(i). Factor j(k).
-2*k*(k - 10)*(k + 10)**3
Let d(i) be the second derivative of 1/17*i**3 + 0*i**2 + 1/102*i**4 - 5 + 10*i. Solve d(m) = 0.
-3, 0
Factor -1/4*j**3 - 31/4*j + 21/4 + 11/4*j**2.
-(j - 7)*(j - 3)*(j - 1)/4
Let i(c) be the third derivative of c**8/13440 + c**7/1120 + c**5/12 + c**4/12 - 6*c**2. Let j(d) be the third derivative of i(d). Factor j(m).
3*m*(m + 3)/2
Factor -4/3*h**2 - 4/3*h + 80/3.
-4*(h - 4)*(h + 5)/3
Let m be (-7448)/(-1512) - (-6)/81. Let z(l) be the first derivative of 25/2*l**2 + 17 + 35/3*l**3 + m*l + 15/4*l**4. Solve z(k) = 0 for k.
-1, -1/3
Let s(h) = 2*h**3 + 26*h**2 + 78*h + 2. Let b be s(0). Suppose -6/7*n**2 - b*n - 4/7 = 0. What is n?
-2, -1/3
Let j = -40 + 44. Factor -j*g**3 - 7*g**2 + 3*g**2 + 3*g**3.
-g**2*(g + 4)
Let s be -1*(-3)/((-3)/1) - -72. Let v = -27 + s. Factor 8*u**4 + 14*u**3 + 8 - 16*u + 38*u**2 + v*u - 20*u**5 + 21*u**5 + 11*u**3.
(u + 1)**2*(u + 2)**3
Suppose -v = 9*v + 3*v. Suppose v = -7*t - 45 + 129. Solve -17 + 53 + 76*g + 44*g**2 - t*g**3 + 9*g**3 + 7*g**3 = 0 for g.
-9, -1
Solve -72*u**4 + 30403*u**5 + 292*u**3 - u - 30399*u**5 + u + 32*u**3 = 0.
0, 9
Let m(u) = -2*u**3 + 13*u + 11. Let b(c) = 12*c + 10. Let i(t) = -t**3. Let h = -20 - -22. Let z(q) = h*i(q) + b(q). Let d(k) = 6*m(k) - 7*z(k). Factor d(v).
2*(v - 2)*(v + 1)**2
Let c = -1316 + 1316. Let v(k) be the second derivative of 8/39*k**3 - 1/195*k**6 + 0 - 2/13*k**4 - 6*k + c*k**2 + 3/65*k**5. Factor v(b).
-2*b*(b - 2)**3/13
Let a(c) be the third derivative of c**7/4200 + c**6/900 - c**5/75 + 38*c**3/3 - 12*c**2. Let y(b) be the first derivative of a(b). What is t in y(t) = 0?
-4, 0, 2
Let d be (12 - 2645/69)/3 - 1*-9. Determine u, given that d*u**2 - 20/9*u - 22/9 = 0.
-1, 11
Let w(o) = -o**2 + 6*o - 9. Let a(p) = -6*p**2 + 33*p - 53. Let v be (-39)/(-4 - -5) + 1 + -1. Let n(h) = v*w(h) + 6*a(h). Let n(d) = 0. Calculate d.
1, 11
Let j be 6 + -1 - 24/8. Let q be 1/j*27/18. Solve -q*t**3 - 7/4*t**2 + 7/4*t + 3/4 = 0 for t.
-3, -1/3, 1
Let h(g) be the second derivative of -g**6/10 + 3*g**5/4 + g**4/4 - 5*g**3/2 + 1765*g. Find k such that h(k) = 0.
-1, 0, 1, 5
Let s(r) be the second derivative of -1/6*r**2 - 259*r + 0 - 1/36*r**3 + 1/72*r**4. Solve s(z) = 0.
-1, 2
Suppose -5*q + 4 = -2*d, -d - 3 = -3*q - 0*q. Solve 2*t**2 + 14*t**4 - 302*t**5 + 2*t**q - 30*t - 18 + 28*t**3 + 304*t**5 = 0.
-3, -1, 1
Factor -9*n**2 - 9 - 6*n**3 - 1405*n**4 + 15*n**3 - 9 + 713*n**4 + 695*n**4 - 33*n.
3*(n - 2)*(n + 1)**2*(n + 3)
Let l(y) be the second derivative of 3 + 0*y**3 - 2*y**5 - 5/42*y**7 - 5/6*y**6 + 0*y**2 - 5/3*y**4 + 44*y. Factor l(u).
-5*u**2*(u + 1)*(u + 2)**2
Let t = 17747/14204 + 2/3551. Let h(b) be the first derivative of t*b**2 + 36 - 1/6*b**3 + 0*b. Let h(d) = 0. Calculate d.
0, 5
Let j(o) be the third derivative of -5*o**2 + 7/200*o**6 + 11/50*o**5 + 0*o + 1/5*o**3 + 2 + 17/40*o**4. Factor j(h).
3*(h + 1)*(h + 2)*(7*h + 1)/5
Let q(v) be the first derivative of 2*v**5/15 + 2*v**4/3 - 62*v**3/9 - 46*v**2/3 + 112*v - 6838. Suppose q(o) = 0. Calculate o.
-7, -3, 2, 4
Let a be (-13585)/4446*(-18)/15. Factor 0*g + 0*g**3 - a*g**5 + 0 - 1/3*g**4 + 0*g**2.
-g**4*(11*g + 1)/3
Suppose -12*x + 14*x = -3*k, 4*k = x - 11. Let o be (-4)/(-6)*(2 - -7). Find c such that x*c + 12*c**2 - 2*c**3 + o*c**2 + 7*c - 12*c**2 + 4 - 2*c**4 = 0.
-1, 2
Factor -1257/8*b**2 + 0 + 5/8*b**3 + 251/4*b.
b*(b - 251)*(5*b - 2)/8
Let n(t) be the third derivative of -t**6/780 - 2*t**5/195 + 35*t**4/39 + t**2 + 26*t - 9. Determine b so that n(b) = 0.
-14, 0, 10
Let g(t) be the third derivative of 0*t + 2*t**2 + 1/22*t**5 - 6 + 4/11*t**4 + 1/660*t**6 - 64/33*t**3. Factor g(r).
2*(r - 1)*(r + 8)**2/11
Factor 11*k**3 + 6*k**4 - 24*k**2 + 32*k + 5*k**5 + 12*k**5 - 15*k**3 - 18*k**5.
-k*(k - 4)*(k - 2)**2*(k + 2)
Let x be (-7)/(-21)*1*63. Suppose 0 = 3*c + x*c. Find n such that 4/7*n**3 + 8/7*n + 12/7*n**2 + c = 0.
-2, -1, 0
Let g(w) = 348*w - 1390. Let y be g(4). Let a(k) be the first derivative of 5/18*k**y - 4/9*k - 1 - 1/27*k**3. Solve a(d) = 0 for d.
1, 4
Suppose 2/11*o**3 - 2/11*o - 40/11*o**2 + 40/11 = 0. Calculate o.
-1, 1, 20
Determine l, given that 180*l**3 + 57/2 - 363*l**2 + 21/2*l**4 + 144*l = 0.
-19, -1/7, 1
Suppose 4*t + 8*u - 5*u - 143 = 0, -135 = -5*t + 5*u. Let n be 160/t + -3*(-34)/18. Factor -2/3*s**2 - n + 16/3*s.
-2*(s - 4)**2/3
Factor 0 + 0*i - 9/2*i**3 - 5*i**2 + 1/2*i**4.
i**2*(i - 10)*(i + 1)/2
Let k(o) be the third derivative of -o**7/1260 - o**6/48 - 9*o**5/40 - 185*o**4/144 - 25*o**3/6 + 1346*o**2. Let k(g) = 0. Calculate g.
-5, -3, -2
Let m(s) = 4*s**3 + 6*s**2 - 12*s + 3. Let k be m(2). Find y, given that -867 + 35*y**2 + 67*y - 38*y**2 + k*y = 0.
17
Let o(j) be the second derivative of j**4/36 - 16*j**3/9 - 160*j**2/3 - 2*j + 1450. Find u, given that o(u) = 0.
-8, 40
Let x(q) be the second derivative of q**7/28 - 113*q**6/60 + 1031*q**5/40 + 433*q**4/24 - 119*q**3/2 + 9193*q. Suppose x(i) = 0. What is i?
-1, 0, 2/3, 17, 21
Let w be 30/35 + (-108071)/126630. Let q(j) be the third derivative of 4/27*j**3 + 15*j**2 + 0*j - 1/27*j**4 + 0 + w*j**5. Solve q(i) = 0.
2
Suppose a + 2*w = -8 - 19, w = -4*a - 129. Let c = a + 37. Find y such that 5 + 9*y**2 - 5*y**3 - 14*y**2 + 5*y**c - 5 + 5*y = 0.
-1, 0, 1
Let f = -29/1486 - -95191/4458. Find p such that -12*p**5 - 176/3*p - 40*p**2 - 32/3 + f*p**4 + 124/3*p**3 = 0.
-1, -2/9, 2
Let m(b) = -2*b**3 - 66*b**2 + 209*b + 24. Let n be m(3). Factor -15/2*u**2 - 8*u - 2*u**n - 11/4 + 1/4*u**4.
(u - 11)*(u + 1)**3/4
Let k be (4/6)/((-3)/(-54)). Let s be k/2 - (5 + -1). Suppose 33*l**2 - 15*l**2 - 25*l**3 - 13*l**s = 0. What is l?
0, 1/5
Suppose -3*c = -0*c - 12, -4*q + 2*c = 0. Let z be (-3)/48 - 256/3072*-3*(-2)/(-8). Factor z - b - 1/4*b**q.
-b*(b + 4)/4
Find c such that -86*c**3 + 7*c**3 + 138*c + 194 - 3*c**2 - 191 - 59*c**3 = 0.
-1, -1/46, 1
Let l be 12/16*(-160)/(-15). Let s be -4 - 144/(-10) - l. Find b such that -s*b**2 + 4/5*b**3 - 4/5 + 12/5*b = 0.
1
Let b(o) be the third derivative of o**5/24 + 145*o**4/24 + 3485*o**3/12 + 14*o**2 + 8. Solve b(w) = 0.
-41, -17
Let t be ((-1541)/23 - -92)*(-2)/(-4). Factor 25*x**3 + 5/2*x**5 + 25/2*x - t*x**4 - 5/2 - 25*x**2.
5*(x - 1)**5/2
Suppose -15 = 2*h - 5*g, 3*h + 26 = 3*g + 17. Let i(w) be the first derivative of 1/16*w**4 + h*w**3 + 0*w + 0*w**2 - 33 + 1/20*w**5. Factor i(y).
y**3*(y + 1)/4
Let u be -16 + 22 - 2/6*(2 - -1). Let y(m) be the first derivative of -10*m**3 + 25/4*m**4 - m**u + 40*m - 10*m**2 - 21. Find p such that y(p) = 0.
-1, 2
Let d(i) = -i**4 - i**3 + i**2 + i - 1. Let r(y) = 32 + 117*y**2 - 109*y + 42 + y**4 - 41*y**3 - 45. Let h(z) = 3*d(z) - r(z). Solve h(m) = 0 for m.
1/2, 1, 4
Let a(f) be the second derivative of f**2 - 48*f - 1/2*f**4 - 2/3*f**3 + 0. Suppose a(s) = 0. Calculate s.
-1, 1/3
Let r(c) be the first derivative of 26 + 3*c + 1/8*c**3 + 9/8*c**2. Let r(z) = 0. Calculate z.
-4, -2
Suppose -2*o + 3*v = -26, -11*o - 52 = -15*o + 5*v. Factor 3*k**5 - o*k - 47*k + k**5 - 55*k**2 + k**5 - 20 - 5*k**3 + 15*k**4.
5*(k - 2)*(k + 1)**3*(k + 2)
Factor 3/2*j**3 + 42*j + 0 - 33/2*j**2.
3*j*(j - 7)*(j - 4)/2
Suppose 3*y - 2916 = -864. Let c be 224/y + 10/(-95). Factor -c*b**2 + 0*b + 8/9.
-2*(b - 2)*(b + 2)/9
Let c be 88430/(-333)*(-9)/(-498). Let r = 1/1245 - c. Determine l so that r*l - 4/5*l**2 + 28/5 = 0.
-1, 7
Let r be 5*((-36)/(-40))/9. Let h = -30 + 30. Determine m so that 1/2*m**3 + r*m - m**2 + h = 0.
0, 1
Factor -88 - 58/3*d**2 + 2/3*d**3 + 320/3*d.
2*(d - 22)*(d - 6)*(d - 1)/3
Factor 2/7*c**3 + 1370/7*c + 688/7*c**2 + 684/7.
2*(c + 1)**2*(c + 342)/7
Factor -18/7 - 1/7*d**2 - 19/7*d.
-(d + 1)*(d + 18)/7
Let f(t) = -t**3 + 4*t**2 + 3*t - 10. Let l be f(4). Find i, given that 23*i**2 - 15 - 5*i**3 - 25 - 5*i**4 + 20*i - 8*i**2 + 15*i**l = 0.
-2, 1, 2
Let i(n) = -8*n**2 + 167*n + 45. Let k be i(21). Factor -39 + k - 44*p - 153 + 4*p**2.
4*(p - 14)*(p + 3)