b(q) be the third derivative of 0*q - 10*q**2 + 0 - q**3 + 1/20*q**5 - 1/8*q**4. Find p such that b(p) = 0.
-1, 2
Let m(i) be the third derivative of i**7/1050 - i**6/150 + 2*i**4/15 - 8*i**3/15 + 118*i**2. Factor m(f).
(f - 2)**3*(f + 2)/5
Factor 16*s**2 + 78/5*s + 2/5*s**3 + 0.
2*s*(s + 1)*(s + 39)/5
Solve 12*u**2 + 3/8*u**3 + 0 + 93/8*u = 0 for u.
-31, -1, 0
Factor -38*i - 1/2*i**2 + 77/2.
-(i - 1)*(i + 77)/2
Let y be ((-4)/(-10))/(40 + (-2376)/60). Factor y - 6/5*s + 1/5*s**2.
(s - 5)*(s - 1)/5
Let y be (6 + -2 + (-850)/136)/((-9)/12). Factor -1/11*q**y + 5/11*q - 1/11*q**2 - 3/11.
-(q - 1)**2*(q + 3)/11
Let g(l) be the third derivative of -l**7/630 + 23*l**6/180 - 89*l**5/180 + 11*l**4/18 - 676*l**2. Solve g(c) = 0 for c.
0, 1, 44
Let z be (1 + (-3 - -1))/(3/(-9)). Factor -o - z*o - 8*o**4 + 4*o**5 - 10*o**2 + 18*o**2.
4*o*(o - 1)**3*(o + 1)
Factor 0 - 2*y**2 + 2*y**3 + 2/3*y - 2/3*y**4.
-2*y*(y - 1)**3/3
Factor 24 + 9*u**4 + 6*u**2 + 51*u + 3*u**5 - 39*u**4 - 48*u**3 - 6*u**5.
-3*(u - 1)*(u + 1)**3*(u + 8)
Let n be (-345)/207*(-2)/10. Suppose -n + s**2 + 2/3*s**3 + 0*s = 0. What is s?
-1, 1/2
Let g(r) be the third derivative of r**6/120 - 3*r**5/20 + 7*r**4/12 - 4*r**2 + 92*r. Factor g(w).
w*(w - 7)*(w - 2)
Let h(p) be the second derivative of 0 + 0*p**2 + 0*p**3 - 4*p - 1/126*p**4. Solve h(v) = 0.
0
Let k(h) = 2*h**3 + 1. Let l(r) = r**2 + 5*r + 5. Let v be l(-4). Let o be k(v). Factor 2*x**2 + 9*x**2 - 6*x**2 + 3*x**o + 4*x**2 - 12.
3*(x - 1)*(x + 2)**2
Let t(i) be the third derivative of -i**5/160 - 19*i**4/16 - 361*i**3/4 + 79*i**2 - 2. Find k such that t(k) = 0.
-38
Suppose -32*t - 52 = -45*t. Let z(y) be the first derivative of 5/21*y**3 + 1/14*y**2 - 2/21*y**6 + 0*y + 3/28*y**t - 1/7*y**5 - 2. Suppose z(b) = 0. What is b?
-1, -1/4, 0, 1
Let n(h) = 6*h**4 - 61*h**3 + 126*h**2 - 128*h + 43. Let l(g) = 4*g**4 - 41*g**3 + 84*g**2 - 86*g + 29. Let x(r) = 7*l(r) - 5*n(r). Let x(z) = 0. What is z?
1, 6
Let d = -2009/15 - -673/5. Determine z, given that 2/3*z**5 - 2/3*z**3 + 0*z + 0 - 2/3*z**2 + d*z**4 = 0.
-1, 0, 1
Let q = 1661/96 + 1/32. Let l = q - 340/21. Solve 12/7*i**3 - 4/7*i - 16/7*i**2 + l = 0 for i.
-2/3, 1
Let t be (-16)/(256/24) - 74/(-28). Solve 0*v**2 - 6/7*v**3 + 0 + t*v - 2/7*v**4 = 0.
-2, 0, 1
Let b be ((-3)/4)/(1085/(-1736)). Let -2/5*k + b*k**2 + 0 + 8/5*k**3 = 0. Calculate k.
-1, 0, 1/4
Determine m so that -10/13*m**3 + 0 + 6/13*m**4 + 8/13*m - 8/13*m**2 = 0.
-1, 0, 2/3, 2
Find n, given that 15 + 113 - 352*n - 117*n**3 - 352*n**2 - 48*n**2 - 38*n**4 + 317*n**3 - 28*n**5 + 130*n**4 = 0.
-2, -1, 2/7, 2, 4
Let s(u) be the first derivative of -u**6/120 + u**5/30 + u**4/24 - u**3/3 + 17*u**2/2 + 14. Let o(m) be the second derivative of s(m). Factor o(h).
-(h - 2)*(h - 1)*(h + 1)
Let z(m) be the third derivative of m**8/1680 - m**7/525 + m**5/150 - m**4/120 - 4*m**2. Suppose z(h) = 0. Calculate h.
-1, 0, 1
Let n(w) be the third derivative of w**8/168 - 23*w**7/735 + 13*w**6/420 + 19*w**5/210 - 5*w**4/21 + 4*w**3/21 + w**2 + 116. Let n(j) = 0. Calculate j.
-1, 2/7, 1, 2
Let m = -58 - -47. Let w(c) = -8*c**5 + 12*c**3 - 4*c**2 - 4*c. Let s(f) = 23*f**5 - 35*f**3 + 11*f**2 + 12*f. Let a(x) = m*w(x) - 4*s(x). Factor a(y).
-4*y*(y - 1)**2*(y + 1)**2
Suppose -44*o + 40*o = -16. Suppose -8*l = -0*l - 0*l. Factor -1/6*p**2 + l*p + 0 + 0*p**3 + 1/6*p**o.
p**2*(p - 1)*(p + 1)/6
Let c be (23 - 19)*(2/12 + 0). Factor 0 - 2/3*o - c*o**2 - 1/6*o**3.
-o*(o + 2)**2/6
Let w be ((-7)/5)/(48/(-240)). Let q(x) be the first derivative of x + 1/9*x**3 + 5/6*x**2 - w - 1/12*x**4. Let q(t) = 0. What is t?
-1, 3
Let g(w) be the second derivative of w**6/105 - w**5/70 - 8*w**4/7 + 176*w**3/21 - 128*w**2/7 + 232*w + 2. Factor g(l).
2*(l - 4)**2*(l - 1)*(l + 8)/7
Let x = 3 - -2. Let p = x - 1. Find v such that -3*v**4 + v**4 + 2*v**2 + 29*v - 5*v**5 - 28*v + p*v**5 = 0.
-1, 0, 1
Let m(x) be the third derivative of x**8/168 + 2*x**7/35 + x**6/5 + x**5/3 + x**4/4 - 131*x**2. Suppose m(i) = 0. Calculate i.
-3, -1, 0
Suppose 5*a - 6 - 14 = 0. Factor 1651*j**a - 1647*j**4 - 18*j**3 + 4*j**2 - 8*j + 20*j**2.
2*j*(j - 2)**2*(2*j - 1)
Let a(h) be the third derivative of -1/132*h**4 + 0*h + 0 - 1/110*h**5 - 7*h**2 + 0*h**3. Find i, given that a(i) = 0.
-1/3, 0
Let r = -29 - 171. Let z be 50/r + (-11)/36 + 1. Find u such that 2/9 - z*u + 2/9*u**2 = 0.
1
Let p(q) = q**2 - 4*q - 9. Let d be p(7). Let w be (3 + (-14)/4)/((-27)/d). Suppose w*x**2 - 2/9*x + 2/9*x**3 - 2/9 = 0. Calculate x.
-1, 1
Let m(j) = -j**2 - 5*j - 6. Let k be m(-2). Let s(i) be the first derivative of 1/8*i**4 + 0*i**2 - 1/6*i**3 + 4 + k*i. Find p, given that s(p) = 0.
0, 1
Let k(c) be the third derivative of c**5/90 + c**4/36 - 10*c**3/3 - 23*c**2. Find g, given that k(g) = 0.
-6, 5
Factor -3*b - 3/2*b**4 + 1/4*b**5 + b**2 + 0 + 9/4*b**3.
b*(b - 3)*(b - 2)**2*(b + 1)/4
Factor -26/7*h**2 - 10/7*h**3 + 0 - 12/7*h.
-2*h*(h + 2)*(5*h + 3)/7
Let i(s) = -3*s**3 - s**2 - 1. Let x(b) = 34*b**3 - 26*b**2 - 174*b - 222. Let t(l) = -12*i(l) - x(l). Factor t(r).
2*(r + 3)**2*(r + 13)
Factor 25*s**4 - 125*s**3 - 200*s + 60 + 725/3*s**2 - 5/3*s**5.
-5*(s - 6)**2*(s - 1)**3/3
Suppose -64 - 92 = -26*f. Let u(s) be the third derivative of -1/21*s**7 + 6*s**2 + 0*s**5 - 1/8*s**f + 0*s**3 + 0*s + 0 + 5/24*s**4. Find o such that u(o) = 0.
-1, 0, 1/2
Let a(q) be the third derivative of 0 - 11*q**2 - 1/20*q**5 - 1/210*q**7 + 0*q**3 + 0*q + 1/24*q**4 + 1/40*q**6. Factor a(x).
-x*(x - 1)**3
Let j(w) be the second derivative of -w**5/30 + w**4 - 12*w**3 + 5*w**2/2 + 4*w. Let x(m) be the first derivative of j(m). Determine t, given that x(t) = 0.
6
Let y be 0*(-9)/12*(-2)/(-3). Let t(u) be the first derivative of 1/5*u**4 + y*u**2 - 5 + 0*u**3 + 0*u + 4/25*u**5. Factor t(q).
4*q**3*(q + 1)/5
Let p(l) be the second derivative of 5/9*l**4 + 0 + 16/9*l**3 + 8/3*l**2 + 1/15*l**5 + 7*l. Find u such that p(u) = 0.
-2, -1
Let y be (11 + 716/(-64))*-2. Factor -9/8*o + 3/4*o**3 + 3/4*o**2 + y - 9/8*o**4 + 3/8*o**5.
3*(o - 1)**4*(o + 1)/8
Let n = -2400 + 14363/6. Let j = -11/2 - n. Find k, given that -1/3*k**3 - j - k**2 + 5/3*k + 1/3*k**4 = 0.
-2, 1
Let d(t) be the first derivative of 3/2*t**2 - t**3 + 6*t - 3. Factor d(z).
-3*(z - 2)*(z + 1)
Let w be -4*(0 - 1 - 8/(-16)). Determine i so that -77 + 3*i - i**2 - w*i + 77 = 0.
0, 1
Suppose -12 = 2*h + 4*j, 3*j - 2 - 3 = 2*h. Let o(a) = -a**3 + a**2 - 6*a - 4. Let b(l) = -l**2 + l + 1. Let z(t) = h*b(t) - o(t). Find m, given that z(m) = 0.
-2, -1, 0
Let r(b) = -4*b**2 - 4*b - 7. Let m = 118 - 113. Let h(q) = 5*q**2 + 5*q + 8. Let i(w) = m*h(w) + 6*r(w). Suppose i(n) = 0. Calculate n.
-2, 1
Let k = 49/16 + -3. Let o(d) be the first derivative of -5 + 0*d**2 + 1/6*d**3 + k*d**4 + 0*d. Factor o(t).
t**2*(t + 2)/4
Let t = 8304/7 - 1220. Let j = 34 + t. Suppose j*q + 2/7*q**2 - 2/7*q**3 - 2/7 = 0. Calculate q.
-1, 1
Factor 51/2*d**2 + 1/2*d**4 - 13/2*d**3 - 50 - 35/2*d.
(d - 5)**2*(d - 4)*(d + 1)/2
Suppose 15*r + 104 = 14. Let c be (-14)/(-5)*(0 - r/21). Factor c*q**2 + 0*q + 2*q**4 + 0 - 14/5*q**3.
2*q**2*(q - 1)*(5*q - 2)/5
Let n = 8 + -6. Factor 19*l + 3*l - 2*l - 34*l**3 + 159*l**3 + 100*l**n.
5*l*(5*l + 2)**2
Suppose -221 = -3*q - 44. Determine r so that 10*r**3 - 56 + 12*r**2 - q - 4*r**4 - 2*r**5 + 115 = 0.
-3, -1, 0, 2
Suppose -491 = -35*y - 421. Find u, given that 0 + 1/2*u**y - 1/4*u**3 - 1/4*u = 0.
0, 1
Let d = -4 - -7. Suppose a - 2 = -o, 5*a = 2*o + d*a - 8. Factor 1/3*r**4 + 0 - 1/3*r - r**o + r**2.
r*(r - 1)**3/3
Let y(c) = c**3 - 6*c**2 - 6*c - 6. Let h be y(7). Let x(q) = 3*q**2 - 2*q. Let d(s) = -s. Let p(f) = h*x(f) - 5*d(f). Determine o so that p(o) = 0.
-1, 0
Let l be 9/((-4)/((-32)/84)). Suppose 9*a = 23*a - 28. Let 2/7 - 6/7*q - 2/7*q**3 + l*q**a = 0. What is q?
1
Suppose 4*x - 3 = -2*q + 313, 3*q + x - 464 = 0. Suppose -q*o - 4 = -156*o. Solve 115/3*v**3 - 20/3*v + 0 - 20*v**o + 175/3*v**5 + 110*v**4 = 0.
-1, -2/7, 0, 2/5
Suppose 2/17*m**3 + 2/17*m**4 - 56/17*m - 32/17 - 24/17*m**2 = 0. What is m?
-2, -1, 4
Let 4/5*i**3 + 8/5 - 3/10*i**2 + 1/10*i**4 - 11/5*i = 0. What is i?
-8, -2, 1
Suppose -4*k + 16 = -0*k + 4*f, 2*k - 5*f = -6. Solve -2*i**3 - i**3 + 15*i + 8*i**k + 18 - 14*i**2 = 0 for i.
-3, -1, 2
Let p be (-2)/8 + (14801/76)/41. Factor -2*x**3 - 1/2 -