 = 0?
-2, 1
Suppose 2*p + 2*p - 5*c - 37 = 0, -3*p + 34 = -5*c. Let f = -208560 - -208566. Determine k so that 2/3*k**p + f*k + 8/3 + 4*k**2 = 0.
-4, -1
Suppose -264 - g**2 + 39*g**2 - 267*g - 41*g**2 = 0. Calculate g.
-88, -1
Suppose 773*w = 777*w. Let p(v) be the second derivative of 0*v**4 + 1/3*v**3 - v**2 + 1/240*v**6 - 1/40*v**5 + w - 13*v. Factor p(h).
(h - 2)**3*(h + 2)/8
Let g(r) = -568*r + 10795. Let x be g(19). Factor -81/5 - 12/5*m**x - 1/5*m**4 - 108/5*m - 54/5*m**2.
-(m + 3)**4/5
Let b(d) be the first derivative of 1/14*d**4 - 8/7*d + 2/7*d**3 - 41 + 0*d**2. Factor b(a).
2*(a - 1)*(a + 2)**2/7
Let l = 3131 + -3128. Let h(i) be the first derivative of 1/7*i**4 - 9 - 1/21*i**6 - 16/21*i**l + 4/35*i**5 + i**2 - 4/7*i. Factor h(n).
-2*(n - 1)**4*(n + 2)/7
Let q(o) be the second derivative of -11*o**7/630 - o**6/90 + 7*o**4/12 - 20*o + 2. Let a(f) be the third derivative of q(f). Factor a(z).
-4*z*(11*z + 2)
Let n(h) be the second derivative of -5/3*h**3 - 1 - 24/5*h**2 + 95*h - 1/30*h**4. Find g such that n(g) = 0.
-24, -1
Factor 0*a - 128/19*a**2 + 0 + 160/19*a**3 + 2/19*a**5 - 34/19*a**4.
2*a**2*(a - 8)**2*(a - 1)/19
Let v = -574 - -4593/8. Let o(k) be the second derivative of 0*k**2 + 1/5*k**6 + 6*k + 0 - v*k**4 + 0*k**3 - 9/40*k**5. What is h in o(h) = 0?
-1/4, 0, 1
Let n = -10353/5 + 2071. Let r(y) be the first derivative of -7/10*y**2 + 16 - 1/3*y**3 - n*y. Factor r(o).
-(o + 1)*(5*o + 2)/5
Suppose 6*o = 66 - 6. Factor 45*f**3 + 1029*f**2 + 3*f**5 - 1064*f**2 + o*f + 2*f**5 - 25*f**4.
5*f*(f - 2)*(f - 1)**3
Let c(n) be the third derivative of n**7/70 - 17*n**6/40 - 57*n**5/20 - 59*n**4/8 - 10*n**3 + 399*n**2 - 3. Suppose c(b) = 0. Calculate b.
-1, 20
Let h = 28 + -31. Let g be 2 - -38 - (h + 1). Factor 27*y**3 - g*y**3 + 20*y - y**4 - 4*y**4.
-5*y*(y - 1)*(y + 2)**2
Let -686 - 25/2*r**3 - 1/2*r**4 - 231/2*r**2 - 931/2*r = 0. Calculate r.
-7, -4
Let g(c) be the first derivative of -5/12*c**4 + 5/3*c**3 + 21 - 16*c - 5/2*c**2. Let q(v) be the first derivative of g(v). Factor q(r).
-5*(r - 1)**2
Let l = -54 + 59. Find x, given that x + 580*x**3 - 2*x - 578*x**3 - x**l = 0.
-1, 0, 1
Let x(q) be the second derivative of -q**7/42 + q**5/12 + 75*q**2/2 - q + 4. Let o(u) be the first derivative of x(u). Factor o(n).
-5*n**2*(n - 1)*(n + 1)
Let g be 3 + -7 + 5/((-20)/(-8)). Let m(l) = 13*l**2 - 2*l - 11. Let d(z) = z**2 - 1. Let s(n) = g*m(n) + 22*d(n). Find i, given that s(i) = 0.
0, 1
Factor -29009*b**5 + 29008*b**5 + 11*b**4 + 110*b + 0*b**4 + 32 - 6*b**3 + 77*b**3 + 137*b**2.
-(b - 16)*(b + 1)**3*(b + 2)
Let w(d) be the first derivative of 3 + 125/2*d**2 + 115/2*d**4 + 5/6*d**6 + 100*d**3 + 0*d + 12*d**5. Factor w(n).
5*n*(n + 1)**2*(n + 5)**2
Let p(g) be the first derivative of -g**4/36 + 94*g**3/27 + 1897. Find c, given that p(c) = 0.
0, 94
Let y(w) = -26*w**2 - 1736*w + 408. Let v be y(-67). Determine x, given that -27/5 - 3/5*x**2 + v*x = 0.
1, 9
Let q be (3 + 0 - 2) + (-12 - -7 - -8). Let w(a) be the second derivative of 0*a**2 + 4/3*a**3 + 0 - 17*a - 1/3*a**q + 1/40*a**5. Suppose w(t) = 0. Calculate t.
0, 4
Let s(v) = 12*v**4 - 44*v**3 + 60*v**2 - 12*v. Let t(d) = -4*d**4 + 15*d**3 - 21*d**2 + 4*d. Let b(m) = -3*s(m) - 8*t(m). Find j such that b(j) = 0.
0, 1
Suppose v + 4 = 2*m, 15 = -20*m + 23*m. Factor -v*s**2 - 3*s**3 + 4*s**2 + 3*s**2 + 0*s**2 + 4*s**3.
s**2*(s + 1)
Let h(n) be the first derivative of n**3/2 + 27*n**2/4 + 21*n - 2711. Solve h(r) = 0 for r.
-7, -2
Suppose -22*j + 28*j - 618 = 0. Suppose 6*b + j = 547. Find u such that 30*u**2 + b - 10*u**3 - 48 + 5*u - 15*u**4 + 5*u**5 - 41 = 0.
-1, 1, 3
Let h(o) be the second derivative of o**6/75 - 5*o**5 + 15373*o**4/30 + 2100*o**3 + 15876*o**2/5 - 236*o + 2. Let h(w) = 0. What is w?
-1, 126
Let z(c) be the third derivative of c**6/420 + 23*c**5/210 - 5*c**4/4 + 27*c**3/7 + 5509*c**2. Factor z(m).
2*(m - 3)*(m - 1)*(m + 27)/7
Suppose 195/2*u**4 + 0 + 0*u - 3069/2*u**3 - 3/2*u**5 - 3267/2*u**2 = 0. Calculate u.
-1, 0, 33
Let y(s) be the first derivative of 14*s**3/3 + 10155*s**2 - 5804*s - 5836. Determine w, given that y(w) = 0.
-1451, 2/7
Let 80/17*q**2 - 2/17*q**4 - 76/17*q - 78/17 + 76/17*q**3 = 0. Calculate q.
-1, 1, 39
Let d(a) be the third derivative of a**8/6720 - a**7/1680 - a**6/1440 + a**5/240 + 77*a**3/3 + 25*a**2. Let w(t) be the first derivative of d(t). Factor w(z).
z*(z - 2)*(z - 1)*(z + 1)/4
Let -560/3 + 175/6*o**2 + 470/3*o + 5/6*o**3 = 0. What is o?
-28, -8, 1
Let z(d) be the first derivative of 2*d**3/21 - 8*d**2/7 - 24*d + 320. Factor z(f).
2*(f - 14)*(f + 6)/7
Let w(s) be the third derivative of -s**5/120 - 107*s**4/4 - 34347*s**3 - 2721*s**2. Solve w(k) = 0.
-642
Let v be 3/((-162)/(-12)) + (-176)/(-18). Solve 12*s**2 - 2*s + 3*s**3 - 3*s**4 + 6*s**4 - 6*s**4 - v*s = 0.
-2, 0, 1, 2
Let 193006*g - 856*g**3 - 1222*g**2 + 121083*g + 859*g**3 + 110039*g - 1034*g**2 = 0. What is g?
0, 376
Let m = 529 + -526. Let -392*l**m + 71*l**4 - 194*l**5 + 392*l**2 + 0 + 93*l**4 + 20 + 174*l**5 - 164*l = 0. Calculate l.
1/5, 1, 5
Solve -256/9*c**2 - 14/9*c**4 - 88/9*c + 0 + 178/9*c**3 = 0 for c.
-2/7, 0, 2, 11
Find w, given that -36/11*w + 38/11*w**2 + 2/11*w**5 + 34/11*w**3 - 38/11*w**4 + 0 = 0.
-1, 0, 1, 18
Let q(r) = -45*r - 119. Let a be q(-4). Factor a*i**3 + 15*i**2 + 5*i**5 - 111*i**3 - 10*i - 15*i**4 + 55*i**3.
5*i*(i - 2)*(i - 1)**2*(i + 1)
Suppose -345*j - 5994 = -354*j. Solve -2*a**5 + j*a**2 + 25*a**3 - 6*a**4 + 0*a**4 - 7*a**3 - 676*a**2 = 0 for a.
-5, 0, 1
Let q(w) be the first derivative of 5/12*w**4 + 21*w + 10*w**2 - 10/3*w**3 - 16. Let l(j) be the first derivative of q(j). Find s, given that l(s) = 0.
2
Let h(n) = -5*n**5 - 95*n**4 - 605*n**3 + 12585*n**2 + 87060*n - 98865. Let u(q) = 2*q**4 + q**3 - q**2 + q. Let d(f) = h(f) - 25*u(f). Factor d(j).
-5*(j - 9)*(j - 1)*(j + 13)**3
Let p(h) be the second derivative of 27*h**7/980 + h**6/35 + h**5/105 + h**3/6 - 63*h**2/2 + 65*h - 1. Let f(w) be the second derivative of p(w). Factor f(u).
2*u*(9*u + 2)**2/7
Let g(m) be the first derivative of -35/2*m**2 + 0*m**3 + 1/24*m**6 + 0*m**4 + 9 + 0*m - 1/4*m**5. Let o(a) be the second derivative of g(a). Factor o(v).
5*v**2*(v - 3)
Solve -85/4*k**3 + 1/4*k**5 - 119/4*k**2 + 39/4*k**4 + 42*k + 41 = 0.
-41, -1, 2
Let c(o) be the first derivative of 55/3*o**3 + 65/4*o**4 - 20*o**2 - 7*o**5 - 25/6*o**6 + 11 - 20*o. Find f, given that c(f) = 0.
-2, -1, -2/5, 1
Let v(h) be the third derivative of 2*h**7/75 - 341*h**6/150 + 294*h**5/25 - 182*h**4/15 - 368*h**3/15 - 6726*h**2. Find c, given that v(c) = 0.
-2/7, 1, 2, 46
Let j(t) be the first derivative of -3*t**4/32 - 9*t**3/2 + 3*t**2/16 + 27*t/2 - 695. Factor j(d).
-3*(d - 1)*(d + 1)*(d + 36)/8
Solve -2346*u - 1325*u + 5*u**5 + 9419*u + 3846*u**3 + 8076*u - 3*u**5 - 184*u**4 + 17856*u**2 = 0.
-3, -1, 0, 48
Let f(k) be the first derivative of -k**5/90 + k**4/18 - 65*k**2/2 - 37. Let n(o) be the second derivative of f(o). Factor n(r).
-2*r*(r - 2)/3
Let k(f) be the third derivative of -f**5/60 - 163*f**4/24 - 27*f**3 + 2*f**2 - 504*f. Suppose k(c) = 0. Calculate c.
-162, -1
Let t = -3813 - -3819. Let z(q) be the third derivative of 0*q - 1/90*q**t + 3*q**2 + 0*q**3 + 0*q**4 - 1 + 1/45*q**5 + 1/630*q**7. Factor z(r).
r**2*(r - 2)**2/3
Let z = 39453 + -512867/13. Factor -36/13 - 2/13*v**2 - z*v.
-2*(v + 2)*(v + 9)/13
Let j(z) = -z**3 - 8*z**2 - 16*z - 12. Let p be j(-6). Factor 1141 - 1133 - 2*o**2 + p*o - 12*o**3 - 4*o**4 - 2*o**2.
-4*(o - 1)*(o + 1)**2*(o + 2)
Let v(j) be the third derivative of -j**8/6720 - j**7/630 - j**6/240 + 61*j**4/12 - 75*j**2. Let u(y) be the second derivative of v(y). Factor u(q).
-q*(q + 1)*(q + 3)
Let a = -22 + 34. Factor 167*x**4 - 7*x**3 - 151*x**4 + 59*x**3 + a*x**2.
4*x**2*(x + 3)*(4*x + 1)
Factor 51*j**4 - 2*j**2 + 50*j**4 - 68*j**3 + 61*j**3 - 131*j**3 + 138*j - 99*j**4.
2*j*(j - 69)*(j - 1)*(j + 1)
Let d be (-2)/3 + 2 - 127*18/2160. Let y(n) be the third derivative of 0*n - n**2 + 0 + 3/70*n**7 + d*n**6 + 3/5*n**5 + 1/2*n**4 + 0*n**3. Factor y(x).
3*x*(x + 1)*(x + 2)*(3*x + 2)
Let h(q) be the second derivative of q**6/75 - 119*q**5/50 + 116*q**4 + 240*q**3 + 2196*q + 2. Factor h(p).
2*p*(p - 60)**2*(p + 1)/5
Let m = 7405/309 - 2331/103. Solve 0 - 10/3*i**4 + 6*i**3 + m*i - 14/3*