3 - 8*h**5 - 20 + 35*h**2 - 15*h**4 = 0. Calculate h.
-2, -1, 1
Let k be 2/(-9) + (-1584)/(-17820)*((3 - -2) + 0). Factor 16/9*t - 8/3 + 10/9*t**2 - k*t**3.
-2*(t - 6)*(t - 1)*(t + 2)/9
Let a(p) be the third derivative of p**7/8820 + p**6/126 + p**5/5 + 14*p**4/9 + 169*p**3/6 - 180*p**2. Let l(r) be the first derivative of a(r). Factor l(v).
2*(v + 2)*(v + 14)**2/21
Let n(z) be the third derivative of -z**7/560 + z**6/64 - 3*z**5/80 - z**4/16 + z**3/2 - 203*z**2 + 5*z. Factor n(b).
-3*(b - 2)**3*(b + 1)/8
Let m(y) be the first derivative of -1/2*y**4 + 0*y**3 + 3*y**2 + 4*y - 63. Suppose m(b) = 0. Calculate b.
-1, 2
Let d(j) be the third derivative of j**5/210 + 79*j**4/84 + 370*j**3/21 - 1694*j**2. Suppose d(g) = 0. Calculate g.
-74, -5
Let i(x) be the first derivative of -9 + 1/10*x**5 - 1/4*x**4 - 2*x**2 + 29*x + 1/30*x**6 - 4/3*x**3. Let h(u) be the first derivative of i(u). Factor h(g).
(g - 2)*(g + 1)**2*(g + 2)
Factor -4*k**3 - 6*k**4 + 25*k**3 - 75*k**3 + 9*k**3 + 3*k**5 + 0*k**5.
3*k**3*(k - 5)*(k + 3)
Let d(o) be the first derivative of -5/3*o**3 + 0*o - 54 + 20*o**2. What is r in d(r) = 0?
0, 8
Let i(f) = 7*f**2 - 402*f - 6. Let o(v) = 5*v**2 - 434*v - 4. Let l(k) = -2*i(k) + 3*o(k). Factor l(u).
u*(u - 498)
Factor -11420*u**2 - 8*u**3 - 21134535*u + 3*u**3 - 8362231015 + 287*u**2 - 6672*u**2.
-5*(u + 1187)**3
Let r(s) be the third derivative of -9/200*s**6 + 11/100*s**5 + 90*s**2 + 0 + 9/40*s**4 - s**3 + 0*s - 1/350*s**7. Solve r(y) = 0 for y.
-10, -1, 1
Let q(b) be the third derivative of b**8/84 + 37*b**7/315 + 7*b**6/18 + 7*b**5/18 - 4*b**4/9 - 4*b**3/3 + 403*b**2 - 2. Determine w, given that q(w) = 0.
-3, -2, -1, -2/3, 1/2
Let x(z) be the third derivative of 0*z + 0 - 5/17*z**3 + 29*z**2 - 2/255*z**5 - 1/12*z**4. Suppose x(u) = 0. Calculate u.
-3, -5/4
Solve -2*w**2 + 1/2*w**5 + w**4 - 3/2*w**3 + 2*w + 0 = 0 for w.
-2, 0, 1
Let r be 352/220 + ((-4)/18)/((-610)/(-3477)). Find i such that 2 + 2*i**2 + r*i**3 + 11/3*i = 0.
-3, -2, -1
Let j(d) be the first derivative of d**3/2 + 501*d**2/2 - 1008*d + 839. Suppose j(i) = 0. What is i?
-336, 2
Let c be (10/6)/((-102)/(-10) + 50/(-325)*65). Factor c*s**3 - 19/3*s**2 + s**4 - 3*s + 0.
s*(s - 1)*(s + 9)*(3*s + 1)/3
Let v(j) be the third derivative of j**7/105 + j**6/60 - 16*j**5/15 - 5*j**4 - 1316*j**2. What is w in v(w) = 0?
-5, -2, 0, 6
Let y(k) = -86*k**3 - k**2 + 6*k + 11. Let z be y(-1). Let 72*t + z*t**2 + 27/4*t**4 + 12 + 42*t**3 = 0. Calculate t.
-2, -2/9
Let a(t) = -38*t**4 - 88*t**3 + 1350*t**2 - 7250*t + 12500. Let m(y) = -2*y**4 - y**3. Let l(c) = -2*a(c) + 36*m(c). Solve l(j) = 0.
-50, 5
Factor -476/3*f**2 + 2/3*f**5 + 0 + 158/3*f + 160*f**3 - 164/3*f**4.
2*f*(f - 79)*(f - 1)**3/3
Let y(m) = m**3 + 100*m**2 + 2401*m - 738. Let r be y(-41). Let -1/3*h**5 + h**4 + r*h + 0 - h**3 + 1/3*h**2 = 0. What is h?
0, 1
Suppose -5*z = -2*n - 0*z + 3, n = 5*z - 11. Solve 19*b - 17*b + 5 + 9 - 2*b**3 - n*b**2 = 0.
-7, -1, 1
Let i(h) be the third derivative of -h**7/490 + 3*h**6/280 + 33*h**5/140 - 5*h**4/8 + 794*h**2. Solve i(y) = 0 for y.
-5, 0, 1, 7
Let l(w) = -w**2 - 21*w + 2. Let j = -260 - -260. Let f be l(j). Factor 0*v + 0*v**3 + 2/7 - 4/7*v**f + 2/7*v**4.
2*(v - 1)**2*(v + 1)**2/7
Let u(s) be the third derivative of -s**5/90 - 245*s**4/9 - 240100*s**3/9 - 1213*s**2. Factor u(d).
-2*(d + 490)**2/3
Determine c so that 0 - 104/3*c - 1/3*c**4 - 10*c**3 - 36*c**2 = 0.
-26, -2, 0
Let j(k) = 116*k**3 - 344*k**2 + 337*k - 112. Let u(b) = -b**4 + 2*b**2 + 3*b - 1. Let h(i) = 5*j(i) + 5*u(i). Find z, given that h(z) = 0.
1, 113
Suppose 17 = -4*t - 5*a, -2*a - 1728 = -4*t - 1710. Let j = 3/7 - -37/7. Factor -t*g**3 - 8/7 - j*g - 46/7*g**2.
-2*(g + 1)*(g + 2)*(7*g + 2)/7
Suppose 0 = -29*t + 1276 + 203. Let l be 44/(-77) - t/(-28). What is x in -15/2*x + l*x**2 + 10 = 0?
2, 4
Factor -11651*l + 2098*l**2 + 714025 - 5*l**3 - 33613*l - 105991*l - 383*l**2.
-5*(l - 169)**2*(l - 5)
Let d(y) = -2*y**3 - 38*y**2 - 72*y - 65. Let a be d(-17). Let i(n) be the first derivative of 2 - 4/9*n**a + 16/3*n - 2*n**2. Factor i(j).
-4*(j - 1)*(j + 4)/3
Let x(s) be the second derivative of s**6/2 - 19*s**5/4 + 85*s**4/6 - 10*s**3/3 - 60*s**2 + 5983*s. Suppose x(n) = 0. What is n?
-2/3, 2, 3
Let l(z) = 2*z**2 + 4483*z - 22462. Let o be l(5). Determine u, given that -54 + 66*u + 2/3*u**o - 38/3*u**2 = 0.
1, 9
Let s(k) be the third derivative of -32*k**7/105 + 21*k**6/20 + 11*k**5/10 - 31*k**4/6 + 4886*k**2. Find x, given that s(x) = 0.
-1, 0, 31/32, 2
Let t be ((-840)/126 - 4)*(315/4)/(-5). Let -3/4*i**3 + 192 - 93/4*i**2 - t*i = 0. Calculate i.
-16, 1
Let r = 13012338/19 + -684708. Factor r*s**2 + 2/19*s**4 + 3042/19*s - 154/19*s**3 + 0.
2*s*(s - 39)**2*(s + 1)/19
Let z(h) be the first derivative of h**7/385 - h**6/660 - h**5/165 - 39*h**2/2 - h + 28. Let g(j) be the second derivative of z(j). Factor g(y).
2*y**2*(y - 1)*(3*y + 2)/11
Let d be ((-2)/6)/(0 - (-2)/(-30)). Let z be d - (6 - 22/18). Let -2/9*r**2 + 0 - z*r**3 + 0*r + 2/9*r**5 + 2/9*r**4 = 0. What is r?
-1, 0, 1
Factor 3*w**2 + 11*w**2 - 151*w - 2*w**3 + 35 + 5 + 207*w.
-2*(w - 10)*(w + 1)*(w + 2)
Let a(j) be the second derivative of j**5/60 - 5*j**4/18 - 127*j**3/18 + 68*j**2/3 - 66*j + 4. Factor a(f).
(f - 17)*(f - 1)*(f + 8)/3
Suppose 4*n - n - 105 = 0. Let c = n + -29. Factor x**3 - 4*x - c*x - 2*x**2 + 5*x + 6*x.
x*(x - 1)**2
Let v(a) be the third derivative of 1 + 1/735*a**7 - 19/42*a**4 - 1/105*a**6 - 5*a**2 - 16/21*a**3 - 9/70*a**5 + 0*a. What is k in v(k) = 0?
-2, -1, 8
Suppose 3428280*w - 31*w**3 + 6417*w**2 + 19*w**3 + 8*w**3 - 3434700 + 7*w**3 = 0. What is w?
-1070, 1
Let w = -1112 + 1114. Let c(t) be the first derivative of 3/2*t**4 + 3/10*t**5 + 5/2*t**3 + 3/2*t**w + 0*t + 15. Factor c(s).
3*s*(s + 1)**2*(s + 2)/2
Let m(f) be the first derivative of f**4/12 + 2*f**3/3 - 10*f - 50. Let q(k) be the first derivative of m(k). Solve q(w) = 0.
-4, 0
Let n be (-165)/99*(-2 + -1). Let v(s) be the second derivative of -10/21*s**3 - n*s + 0*s**2 - 1/42*s**4 + 0. Factor v(m).
-2*m*(m + 10)/7
Let t(p) be the third derivative of 23*p**5/12 + 13*p**4/3 - 13*p**3/3 - 81*p**2. Let i(z) = -288*z**2 - 260*z + 64. Let g(a) = -5*i(a) - 12*t(a). Factor g(m).
4*(m + 1)*(15*m - 2)
Find l, given that -2/11*l**4 + 0 + 504/11*l + 38/11*l**3 - 240/11*l**2 = 0.
0, 6, 7
Factor 1848/5*j**2 + 3728/5*j + 2496/5 - 2/5*j**4 + 60*j**3.
-2*(j - 156)*(j + 2)**3/5
Let m(i) = 3*i**4 + 71*i**3 - 100*i**2 - 69*i + 3. Let v(z) = -3*z**4 - 78*z**3 + 108*z**2 + 68*z - 4. Let h(r) = 4*m(r) + 3*v(r). Let h(o) = 0. Calculate o.
-18, -2/3, 0, 2
Let i be 553/1264*(-4)/(-21). Let a(z) be the second derivative of 3/2*z**2 + 0 - 15*z - 1/3*z**3 - i*z**4. Factor a(u).
-(u - 1)*(u + 3)
Let z(v) be the third derivative of v**8/168 + v**7/21 + v**6/6 + v**5/3 + 5*v**4/12 + v**3/3 - 1504*v**2. Factor z(j).
2*(j + 1)**5
Determine t so that -2/11*t**2 + 10/11*t**4 - 8/11 - 18/11*t**3 + 18/11*t = 0.
-1, 4/5, 1
Let u be (-2)/((12/198)/(1/(-3))). Factor -948*l**5 + 951*l**5 + u*l**4 + 51*l**3 + 18*l + 51*l**2 + 10*l**4.
3*l*(l + 1)**2*(l + 2)*(l + 3)
Let f be (-57)/2280*9/(-18). Let p(z) be the second derivative of -18*z + 0*z**2 + 0*z**3 - f*z**5 + 0 - 1/24*z**4 + 1/120*z**6. What is k in p(k) = 0?
-1, 0, 2
Determine z, given that 22 - 428/5*z + 8/5*z**3 - 10*z**2 = 0.
-5, 1/4, 11
Let o = 18 - 14. Suppose -s + 319 = 5*x, 0 = -3*s - 2*s + 20. Factor 4*k**3 - 32*k**2 - x - 20*k - 4*k**3 - o*k**3 + 263.
-4*(k - 2)*(k + 5)**2
Let w(q) be the second derivative of -q**4/3 + 86*q**3 + 944*q. Factor w(s).
-4*s*(s - 129)
Let x(w) be the first derivative of -w**3 - 261*w**2 + 525*w + 1592. Factor x(j).
-3*(j - 1)*(j + 175)
Let z(x) = -3*x - 66. Let r be z(-23). Factor -14*q**r + 19*q**3 - 30*q**2 + 30 - 7*q**3 + 2*q.
-2*(q - 1)*(q + 1)*(q + 15)
Let k(l) be the first derivative of -l**6/660 - l**5/22 - 6*l**4/11 - 36*l**3/11 + 4*l**2 - 3*l - 31. Let q(p) be the second derivative of k(p). Factor q(o).
-2*(o + 3)*(o + 6)**2/11
Let t be (-2 - -1) + -5 - (-19)/((-38)/(-12)). Let h(v) be the second derivative of 0 + 5*v + 1/36*v**4 + t*v**2 + 1/3*v**3. Factor h(g).
g*(g + 6)/3
Let l(g) be the first derivative of 3*g**5/5 + 603*g**4/2 - 2027*g**3 + 4878*g**2 - 4884*g + 4923. Suppose l(x) = 0. Calculate x.
-40