*2 + u = 0.
-1, 0, 1, 2, 3
Let j(k) be the second derivative of 1/2*k**3 + 129*k - 5/6*k**4 + 0*k**2 + 3/5*k**5 + 0 + 1/42*k**7 - 1/5*k**6. Let j(p) = 0. Calculate p.
0, 1, 3
Let n(u) = -2*u**3 + 2*u**2 + u + 1. Let f(d) = -7*d**3 + 52*d**2 + 1616*d + 1561. Let h(w) = -f(w) + n(w). Suppose h(t) = 0. Calculate t.
-13, -1, 24
Suppose -3408 - 11928 = -18*r. Let v = -848 + r. Find m, given that v + 10/3*m + 2/3*m**2 = 0.
-3, -2
Let v(u) be the second derivative of u**6/30 - 177*u**5/10 + 88*u**4 - 527*u**3/3 + 351*u**2/2 + 1978*u. Solve v(t) = 0 for t.
1, 351
Suppose -2/15*d**2 - 1716/5 + 2578/15*d = 0. Calculate d.
2, 1287
Let k(d) = -33*d**4 + 168*d**3 + 483*d**2 + 588*d + 216. Let a(t) = -9*t**4 + 48*t**3 + 138*t**2 + 168*t + 62. Let z(o) = 18*a(o) - 5*k(o). Factor z(j).
3*(j + 1)*(j + 2)**2*(j + 3)
Let v(m) be the second derivative of m**9/1512 + m**8/315 + m**7/180 + m**6/270 - 26*m**3/3 + 3*m + 1. Let k(g) be the second derivative of v(g). Factor k(z).
2*z**2*(z + 1)**2*(3*z + 2)/3
Let c = -27 + 52. Suppose 35 = -c*s + 32*s. Solve -2*w + 5*w**3 - 9*w**s + 7*w**5 - w**3 = 0.
-1, 0, 1
Let u(v) be the second derivative of -3200*v**2 - 2/15*v**6 + 160*v**3 - 2*v - 6/5*v**5 + 71/3*v**4 + 7. Solve u(s) = 0.
-8, 5
Let x = -26 - -33. Factor -36*q - 37*q + x*q**4 + 73*q + 4*q**2 + 16*q**3.
q**2*(q + 2)*(7*q + 2)
Let i(r) = -10*r**2 + 5380*r - 5. Let n(d) = d**2 - 6*d + 1. Let v(b) = i(b) + 5*n(b). Factor v(t).
-5*t*(t - 1070)
Let u(v) be the first derivative of 2*v**3/3 - 32*v + 2386. Solve u(k) = 0.
-4, 4
Let l = -211142 - -211151. Factor 21/2*b - l - 3/2*b**2.
-3*(b - 6)*(b - 1)/2
Let k = 48 - 195. Let n = -145 - k. Find f such that 2/3*f**2 - 4/3*f - n = 0.
-1, 3
Let r be (0 + 3959)*61/122. Let z = r - 1979. Factor -2*q + 1/4*q**4 - q**2 + z*q**3 + 0.
q*(q - 2)*(q + 2)**2/4
Let n(k) be the first derivative of 1/33*k**6 + 0*k + 8/55*k**5 + 3/22*k**4 - 4/11*k**2 + 18 - 8/33*k**3. Find z such that n(z) = 0.
-2, -1, 0, 1
Let q be (9/(-15))/((-1)/5). Let f be (27/1134)/((-3)/9) - 684/(-168). Factor 0*v + 0 + 2/17*v**f + 50/17*v**2 + 20/17*v**q.
2*v**2*(v + 5)**2/17
Let x(d) be the first derivative of 2*d**6/3 + 1793*d**5/15 + 68231*d**4/12 + 31178*d**3/3 + 8066*d**2/3 - 10952*d/3 + 566. Suppose x(a) = 0. Calculate a.
-74, -1, -2/3, 1/4
Let s(b) = 59*b**3 + 18*b**2 - 38*b - 24. Let h = 859 - 862. Let v(c) = 30*c**3 + 9*c**2 - 18*c - 12. Let m(d) = h*s(d) + 5*v(d). Find l such that m(l) = 0.
-2/3, 1
Let n(t) be the third derivative of 0*t**3 + 0*t + 13/360*t**5 + 1/720*t**6 - 136*t**2 + 0*t**4 + 0. Let n(w) = 0. Calculate w.
-13, 0
Let t = 24676 + -74026/3. Determine f so that 8/3*f**4 - t*f**2 - 4*f**3 + 13/3*f - 1/3*f**5 - 2 = 0.
-1, 1, 6
Let a(k) be the third derivative of -k**2 + 0*k - 2 + 9/20*k**5 + 3/40*k**6 - 1/14*k**7 + 0*k**4 + 0*k**3 + 1/112*k**8. Factor a(s).
3*s**2*(s - 3)**2*(s + 1)
Suppose o**2 - 4*o - 2*o**2 - 8*o**2 - 8 + 2*o + 10*o**2 = 0. Calculate o.
-2, 4
Determine p, given that 7*p**3 - 1/2*p**5 + 0 + 0*p + 13/2*p**4 + 0*p**2 = 0.
-1, 0, 14
Let d(j) be the first derivative of j**6/30 + 36*j**5/25 + 441*j**4/20 + 2174*j**3/15 + 462*j**2 + 3528*j/5 - 1886. Let d(a) = 0. What is a?
-14, -3, -2
Let j(m) = -359*m**2 + 554*m - 1691. Let h(u) = -986*u**2 + 1661*u - 5074. Let x(f) = -4*h(f) + 11*j(f). Factor x(y).
-5*(y - 3)*(y + 113)
Let a(x) be the third derivative of 4*x**7/1575 - x**6/900 - 11*x**5/450 - x**4/30 - 2368*x**2. Solve a(m) = 0.
-1, -3/4, 0, 2
Let y be 1/(-6) + (-171)/(-54) + 4. Let j be (4/10)/(11/55). Solve d**j + 0*d**5 + 2*d**3 - 2*d**4 - y*d**5 + d**2 + 5*d**5 = 0.
-1, 0, 1
Suppose 16*b - 33 = 5*b. Factor -5*o**4 - 10*o**4 + 15*o**2 + 129*o**5 - 10*o + 0*o**b - 124*o**5 + 5*o**3.
5*o*(o - 2)*(o - 1)**2*(o + 1)
Factor -955/3*b - 912025/6 - 1/6*b**2.
-(b + 955)**2/6
Let v = -241873/15 - -16125. Let l(s) be the first derivative of 3/5*s**2 - v*s**3 - 12 + 0*s. Factor l(h).
-2*h*(h - 3)/5
Let m = -6 - -17. Factor 12*t + m*t**2 - 8 + 10*t - 3*t**2 - 24*t + 2*t**3.
2*(t - 1)*(t + 1)*(t + 4)
Let j(o) be the first derivative of -o**6/54 + 7*o**5/45 + o**4/18 - 14*o**3/27 - o**2/18 + 7*o/9 + 308. Suppose j(d) = 0. Calculate d.
-1, 1, 7
Let j(a) = -11*a**2 - 351*a + 34. Let p be j(-32). Let m = 3924 + -27420/7. Factor -44/7*y + 4/7*y**p - m.
4*(y - 12)*(y + 1)/7
Let w(b) be the second derivative of 9/2*b**2 - b**3 - 1/4*b**4 + 9 + 2*b. Suppose w(r) = 0. Calculate r.
-3, 1
Let k(s) = -8*s**2 + 2184*s - 8. Let v(m) = -3*m**2 - m - 2. Let q(t) = -k(t) + 4*v(t). Factor q(x).
-4*x*(x + 547)
Let q(p) be the second derivative of 1/102*p**4 + 4 + 1681/17*p**2 + 82/51*p**3 + 12*p. Suppose q(z) = 0. What is z?
-41
Let f(l) be the first derivative of l**6/12 + 2*l**5/5 - 7*l**4/8 - 11*l**3/3 + 6*l**2 - 427. Find p, given that f(p) = 0.
-4, -3, 0, 1, 2
Let i = 1760980 - 1760980. Factor -3/4*c**3 + 0 + 0*c + i*c**2 - 3/4*c**4.
-3*c**3*(c + 1)/4
Let g = 298 - 78. Suppose -10*j - 198 - g + 403 + 5*j**2 = 0. What is j?
-1, 3
Let o(v) be the third derivative of -2/5*v**6 + 18/5*v**5 + 0 + 27/2*v**3 - 81/8*v**4 - 8*v + v**2. Factor o(p).
-3*(p - 3)*(4*p - 3)**2
Let y(s) be the third derivative of s**6/56 + 41*s**5/70 - 253*s**4/56 - 57*s**3/7 - 1244*s**2. Solve y(n) = 0.
-19, -2/5, 3
Determine m, given that 3/7*m**2 + 117/7*m - 1128/7 = 0.
-47, 8
Let 2/5*i**2 + 96/5*i**3 + 0 - 96/5*i - 2/5*i**4 = 0. Calculate i.
-1, 0, 1, 48
What is i in -103*i - 25*i + 0*i**2 - 36 + 15*i**2 - 49*i = 0?
-1/5, 12
Let q(i) = 14*i**2 + 7*i - 22. Let b be q(5). Let g = b + -244. Factor -90*z - 450 - 62*z**2 - 2*z**3 - g*z - 301*z.
-2*(z + 1)*(z + 15)**2
Let z(i) = -17*i + 16. Let t be z(2). Let o = t + 18. Factor 6/11*n**4 + 6/11*n**2 + o*n + 12/11*n**3 + 0.
6*n**2*(n + 1)**2/11
Let i = 53 + -51. Let q be ((-10)/(-8))/((-196)/(-96) - i). Let y(g) = -g**2 + 3*g. Let h(x) = -x. Let f(a) = q*h(a) + 5*y(a). Factor f(r).
-5*r*(r + 3)
Let z be (50/30)/((-2915)/(-3498)). Factor 1/2*h - 3/4 + 1/4*h**z.
(h - 1)*(h + 3)/4
What is q in -q**4 + 19/4*q**3 + 7/4 + 41/4*q + 57/4*q**2 = 0?
-1, -1/4, 7
Let t(o) be the first derivative of o**9/1512 - o**8/280 + o**6/45 - 2*o**3/3 - 9*o - 20. Let z(u) be the third derivative of t(u). Let z(n) = 0. Calculate n.
-1, 0, 2
Let m be (-4)/(5 - (-87)/(-15)). Determine n so that -5 + 55*n + m*n**2 - 70 + 14*n + n = 0.
-15, 1
Let p(o) be the first derivative of 3*o**4/2 - 406*o**3/3 - 70*o**2 + 272*o + 2563. Solve p(t) = 0 for t.
-1, 2/3, 68
Suppose -j + 1 = 2*d, 7 = -j + 2. Let o be ((-60)/(-36))/(-3*d/(-27)). Factor -8/5*z - 4*z**2 - 18/5*z**3 + 0 - 7/5*z**4 - 1/5*z**o.
-z*(z + 1)*(z + 2)**3/5
Let k be (4/(-14))/(123/(-2296)). Let c = k - 4. Solve 4/3*n**3 - c*n - 8/3 + 8/3*n**2 = 0.
-2, -1, 1
Let z = -116339 + 116341. Factor 0*g - 7*g**3 + 1/3*g**5 + 11/3*g**z + 3*g**4 + 0.
g**2*(g - 1)**2*(g + 11)/3
Let k be (-5 + 5)/2 + 30. Suppose -k = 2*x - 12*x. Factor -82*t**x + t**4 - 78*t**3 + 161*t**3 - 2*t**2.
t**2*(t - 1)*(t + 2)
Let f = -38 - -48. Let x(y) = 7*y**2 + 31*y + 162. Let k(m) = -3*m**2 - 16*m - 81. Let r(d) = f*k(d) + 4*x(d). Determine v, given that r(v) = 0.
-9
Let n = -618589 - -1237181/2. Suppose 1/2*b**4 + n*b**3 - 15/2*b + 0 - 13/2*b**2 = 0. What is b?
-5, -1, 0, 3
Suppose 53*j - 125903 = -39248. Let y be j/(-436)*(-2)/5. Determine z, given that 7/6*z**2 + 1/6*z**5 + 0 + 5/6*z**4 + 1/3*z + y*z**3 = 0.
-2, -1, 0
Let v(s) = 15*s**5 - 18*s**4 - 12*s**3 + 18*s**2 - 7*s - 4. Let w(d) = -d**4 + d**3 + d**2 + d + 2. Let f(b) = -v(b) - 2*w(b). What is y in f(y) = 0?
-1, 0, 1/3, 1
Let i(r) = -3*r - 27. Let o be i(-8). Let l(m) = 15*m**2 - 70*m + 110. Let y(q) = 8*q**2 - 35*q + 56. Let j(c) = o*l(c) + 5*y(c). Suppose j(t) = 0. What is t?
2, 5
Suppose -1008 = -2*y - 6*y. Let a be 7*9/(y/4). Let -169*t**4 + 4*t**3 - a*t**5 + t**5 + 2 - 2*t - 4*t**2 - t**5 + 171*t**4 = 0. Calculate t.
-1, 1
Let y(r) be the first derivative of r**6/180 - 4*r**4/3 + 80*r**3/3 - 262. Let q(m) be the third derivative of y(m). Factor q(l).
2*(l - 4)*(l + 4)
Let j = -45/1241 - -3903/4964. Let 1/2 + j*c**2 - 5/4*c - 1/4*c**4 + 1/4*c**3 = 0. Calculate c.
-2, 1
Factor 0 + 0*q**2 - 10/7*q**4 + 4*q**3 + 0*q - 2/7*q**5.
-2*q**3*(q - 2)*(q + 7)/7
Suppose 4*i - 2*z = 5 - 7, -3*i - 2 = -2*z. Let v(t) be the second derivative of -1/24*t**4 + 1/3*t**3 + 3/4*t**2 + i - 1/2