2 + 8*k**4 - 120*k + 70*k - 3*k**4 = 0.
0, 1, 2, 5
Factor -1/2*h**4 - 1/2*h**5 + 0 + 1/2*h**2 + 0*h + 1/2*h**3.
-h**2*(h - 1)*(h + 1)**2/2
Suppose -m = -4, -63*u + 5*m = -68*u + 25. Determine o, given that 1/4*o**5 + 1/4*o**4 + o - 5/4*o**3 + u - 5/4*o**2 = 0.
-2, -1, 1, 2
Let h(p) = -p**3 - 5*p**2 + 61*p + 330. Let r be h(-6). What is a in a + r - 5/2*a**2 = 0?
0, 2/5
Let b = -44 - -46. What is l in -6 + 1 + 2*l + l**b + 4 + 2 = 0?
-1
Let v(d) be the second derivative of d**4/54 - 58*d**3/27 + 841*d**2/9 + 377*d. Solve v(r) = 0.
29
Let s be 38/6 - (-40)/60. Determine m so that s*m**5 - 2*m + 15*m**3 + 19*m**4 - 5*m**2 + 6*m**2 + 0*m = 0.
-1, 0, 2/7
Let j be -14 + 31 - 20 - (-1 - 5). Let v(q) be the third derivative of -1/420*q**7 - 1/60*q**6 - 1/24*q**5 + 0 + 0*q**j + 0*q - 1/24*q**4 - 6*q**2. Factor v(p).
-p*(p + 1)**2*(p + 2)/2
Let d(i) be the third derivative of i**5/160 + i**4/4 - 17*i**3/16 + 490*i**2. Factor d(p).
3*(p - 1)*(p + 17)/8
Let z(j) be the second derivative of j**7/273 - j**6/15 + 28*j**5/65 - 40*j**4/39 + 3*j - 26. Solve z(x) = 0 for x.
0, 4, 5
Let h(c) = 25*c**2 + 137*c - 21. Let g(n) = -12*n**2 - 68*n + 14. Let t(p) = 5*g(p) + 2*h(p). Factor t(k).
-2*(k + 7)*(5*k - 2)
Let x(u) = u**2 + 12*u - 3. Let k(t) = 6*t**2 + 63*t - 14. Let r(v) = -2*k(v) + 11*x(v). Factor r(z).
-(z - 5)*(z - 1)
Let 2/17*g**4 - 24/17 - 16/17*g**3 + 16/17*g + 22/17*g**2 = 0. Calculate g.
-1, 1, 2, 6
Let s(y) be the second derivative of 0 + 6*y - 1/30*y**5 + 0*y**2 - 1/18*y**4 + 0*y**3. Factor s(q).
-2*q**2*(q + 1)/3
Determine t so that -35*t**2 - t**3 + 56*t**2 + 14*t**2 - 100*t + 124 - 28*t = 0.
2, 31
Let d(c) be the third derivative of c**5/15 + 5*c**4/2 + 97*c**2 + c. Factor d(s).
4*s*(s + 15)
Let i(g) be the second derivative of g**4/6 + g**3/3 - g**2 - 3*g. Let a be i(-2). Factor 8*z**a - 4*z**3 + 8*z - 6*z + 6*z + 4*z.
-4*z*(z - 3)*(z + 1)
Let s(q) = 36*q**3 - 34*q**2 + 48*q - 6. Let i(w) = -5*w**3 + 5*w**2 - 7*w + 1. Let j be 43/(-2)*-2 - -1. Let d(l) = j*i(l) + 6*s(l). Solve d(g) = 0.
1, 2
Let x(m) be the first derivative of -m**7/945 + m**5/90 + m**4/54 - 2*m**2 + m + 8. Let v(s) be the second derivative of x(s). Factor v(u).
-2*u*(u - 2)*(u + 1)**2/9
Let w(a) be the third derivative of a**6/600 + a**5/60 - a**4/60 - 4*a**3/5 + 34*a**2. Factor w(h).
(h - 2)*(h + 3)*(h + 4)/5
Let l(m) be the third derivative of -1/40*m**6 - 1/672*m**8 - 1/4*m**3 + 0*m + 7/48*m**4 + 1/84*m**7 + 0 - 1/60*m**5 + 30*m**2. Factor l(a).
-(a - 3)*(a - 1)**3*(a + 1)/2
Determine h, given that -3*h**2 + 2750*h - 2746*h - 2*h**3 + h**3 = 0.
-4, 0, 1
Factor 167*p - 308*p + 161*p - 20*p**3 + 5*p**2 - 5.
-5*(p - 1)*(p + 1)*(4*p - 1)
Let m(r) be the second derivative of r**7/70 - 3*r**6/80 + r**5/40 - 5*r**2 + 6*r. Let t(d) be the first derivative of m(d). Solve t(c) = 0 for c.
0, 1/2, 1
Let n = 29 - -42. Solve 41*l**3 + 64*l**5 - 60*l**2 + 96*l**4 - 62*l**3 - 8*l - n*l**3 = 0.
-2, -1/4, 0, 1
Solve -1470/11*d + 228/11*d**3 + 3612/11*d**2 - 51450/11 - 6*d**4 - 6/11*d**5 = 0.
-7, 5
Let v be (32/10 + -2)/(10 - 7). Factor v*t**2 - 2/5 + 8/5*t**3 - 8/5*t.
2*(t - 1)*(t + 1)*(4*t + 1)/5
Let i(x) be the third derivative of x**6/60 + 33*x**5/10 + 1089*x**4/4 + 11979*x**3 + 87*x**2. Factor i(p).
2*(p + 33)**3
Let t(k) = -12*k**2 - 1011*k - 252. Let n be t(-84). Let 0 + 2/3*g**2 + n*g = 0. Calculate g.
0
Factor 3/4*x - 1/4*x**2 - 1/2.
-(x - 2)*(x - 1)/4
Let f(y) be the second derivative of 5*y**7/42 + 5*y**6/6 - y**5/4 - 25*y**4/12 - y + 58. Suppose f(i) = 0. Calculate i.
-5, -1, 0, 1
Let j(n) = -7*n**2 - 61*n + 196. Let u(m) = 4*m**2 + 62*m - 197. Let o(t) = 3*j(t) + 4*u(t). Factor o(a).
-5*(a - 8)*(a - 5)
Let r(j) be the second derivative of -49*j**4/12 + 28*j**3 - 72*j**2 + 452*j + 2. Suppose r(v) = 0. Calculate v.
12/7
Let n(s) be the second derivative of s**8/2016 - s**7/630 + s**5/180 - s**4/144 - 5*s**2/2 - 7*s. Let h(c) be the first derivative of n(c). Factor h(y).
y*(y - 1)**3*(y + 1)/6
Suppose -2*k = -4 + 40. Let j be 1 - (58/k - -4). Suppose j*w**3 + 2/9*w**5 + 0*w + 0*w**2 - 4/9*w**4 + 0 = 0. Calculate w.
0, 1
Solve 4/9 + 0*k - 1/3*k**2 + 1/9*k**3 = 0.
-1, 2
Let x(t) = -4*t**2 + 2*t + 4. Let w be x(0). What is c in 0*c + 0*c**2 - 1/4*c**w + 0 + 1/4*c**3 - 1/2*c**5 = 0?
-1, 0, 1/2
Let x(l) be the second derivative of l**6/105 - 9*l**5/70 + l**4/3 + l - 79. Factor x(o).
2*o**2*(o - 7)*(o - 2)/7
Determine k, given that 0*k - 8/3 + 10/3*k**2 + 0*k**3 - 2/3*k**4 = 0.
-2, -1, 1, 2
Let d(g) = 6*g - 132. Let p be d(22). Let y(a) be the third derivative of -1/3*a**4 + 0 + 4/3*a**3 + 1/30*a**5 - 4*a**2 + p*a. Factor y(h).
2*(h - 2)**2
Let v be (-6)/(-39) + (-32)/546. Let i = v - -32/105. Factor 4/5*h - 2/5 - i*h**2.
-2*(h - 1)**2/5
Let b be 10/175*-20*-2. Factor -2/7*y**2 + b - 4/7*y.
-2*(y - 2)*(y + 4)/7
Let f(u) be the second derivative of -19*u - 1/21*u**4 + 0 - 6/7*u**2 - 8/21*u**3. Factor f(c).
-4*(c + 1)*(c + 3)/7
Suppose 3*r - 3*f = 3360, 0 = 3*r + 2*f - 246 - 3124. Let o be 4917/r + 4/34. Factor -12 + 18*i - 3/4*i**2 - 3/4*i**4 - o*i**3.
-3*(i - 1)**2*(i + 4)**2/4
Let w(t) be the first derivative of -31 - 17/18*t**4 + 0*t - 4/9*t**2 + 32/27*t**3 + 2/9*t**5. Suppose w(n) = 0. What is n?
0, 2/5, 1, 2
Let a be (3 + -1*68/20)/((-37)/185). Factor 66*l**3 + 16/3 - 76*l**a + 40/3*l.
2*(3*l - 2)**2*(11*l + 2)/3
Let r(i) = i**2 - 5 - 10 + 12 + 4*i. Let y be r(-5). Solve -o**3 + 2/3*o**4 + 0*o**y + 1/3*o + 0 = 0.
-1/2, 0, 1
Solve 0 + 0*z**2 - 2/11*z**5 - 84/11*z**3 - 46/11*z**4 + 0*z = 0.
-21, -2, 0
Let t = -1050 + 50401/48. Let z(l) be the third derivative of 0*l + t*l**8 + 0 + 11*l**2 - 19/210*l**7 + 1/8*l**6 - 1/60*l**5 + 0*l**3 - 1/12*l**4. Factor z(w).
w*(w - 1)**3*(7*w + 2)
Let w(h) be the third derivative of h**6/30 + h**5/5 - 13*h**4/6 - 10*h**3 + 2*h**2 - 54. Factor w(s).
4*(s - 3)*(s + 1)*(s + 5)
Suppose 7*z = 24*z. Determine l so that 2*l**5 + z + 10/3*l**2 - 4/3*l - 2/3*l**3 - 10/3*l**4 = 0.
-1, 0, 2/3, 1
Let z(d) be the third derivative of d**8/112 + 27*d**7/350 + d**6/4 + 9*d**5/25 + d**4/5 - 401*d**2. Find w, given that z(w) = 0.
-2, -1, -2/5, 0
Let t(k) = 490*k**4 + 170*k**3 + 16*k**2. Let r(j) = -j**4 + j**3. Let x = -95 + 101. Let v(g) = x*r(g) + t(g). Factor v(b).
4*b**2*(11*b + 2)**2
Let h = 34 - 11. Determine i, given that -39 - 5*i**2 + 12*i - 41 + h*i + 5*i = 0.
4
Let s(w) = -w**2 + 3*w + 6. Let u be s(5). Let c = -2 - u. Find p, given that 3 + 6*p - c + 2 + 7*p**2 - 4*p**2 = 0.
-1
Let x be ((-826)/(-42) + -20)*0. Solve x - 6/7*p + 2/7*p**2 = 0.
0, 3
Let f(c) = 3*c**3 + 17*c**2 + 12*c + 5. Let i(m) = 6*m**3 + 33*m**2 + 24*m + 9. Let h = 38 - 43. Suppose -2*p + 22 = 4. Let v(s) = h*i(s) + p*f(s). Factor v(j).
-3*j*(j + 2)**2
Factor 53/3*u - 20/3*u**2 + 1/3*u**3 - 34/3.
(u - 17)*(u - 2)*(u - 1)/3
Let c(r) = 2*r**4 - 7*r**3 + 32*r**2 + 53*r - 50. Let z(u) = -u**4 + 8*u**3 - 31*u**2 - 52*u + 52. Let g(x) = 4*c(x) + 5*z(x). Suppose g(n) = 0. What is n?
-5, -2, 1, 2
Find l, given that 15/2*l - 7/4*l**2 - 2 = 0.
2/7, 4
Factor -291 + 12*i - 290 + i**2 + 0*i**2 + 568.
(i - 1)*(i + 13)
Let w(t) be the third derivative of 0 + 14*t**2 - 1/300*t**6 + 1/15*t**4 + 0*t + 0*t**3 + 1/50*t**5. Factor w(p).
-2*p*(p - 4)*(p + 1)/5
Let f(v) be the first derivative of v**6/27 - 16*v**5/45 + 8*v**4/9 + 32*v**3/27 - 80*v**2/9 + 128*v/9 - 144. Factor f(o).
2*(o - 4)*(o - 2)**3*(o + 2)/9
Factor -76/21*f**2 + 2/21*f**3 + 146/21*f - 24/7.
2*(f - 36)*(f - 1)**2/21
Let g = 10 + -23. Let h = 17 + g. Find s such that -2*s - 6*s**4 - 9*s**3 - s**4 + h*s**4 + 3*s**2 + 11*s = 0.
-3, -1, 0, 1
Let v = 7/4156 - -12433/20780. Let 6/5*b + 0*b**3 - 9/5*b**2 + v*b**4 + 0 = 0. What is b?
-2, 0, 1
Let g(l) be the first derivative of -1/6*l**4 + 1/9*l**6 - 8/3*l + 2/5*l**5 - 19 - 22/9*l**3 - 4*l**2. Factor g(w).
2*(w - 2)*(w + 1)**3*(w + 2)/3
Factor 0*w**4 + 3/5*w**3 - 1/5*w**5 + 0*w + 0 - 2/5*w**2.
-w**2*(w - 1)**2*(w + 2)/5
Let s(a) = 2*a**3 + 65*a**2 - 255*a - 324. Let q(f) = -12*f**3 - 456*f**2 + 1784*f + 2268. Let o(z) = 3*q(z) + 20*s(z). Let o(t) = 0. Calculate t.
-1, 9
Let c(i) be the second derivative of i**7/70 + i**6/8 + 9*i**5/20 + 7*i**4/8 + i**3 + i**2 + 28*i. Let p(o) be the first derivative of c(o). Factor p(g).
3*(g + 1)**3*(g + 2)
Let a = -4 + 1. Let z(k) = -2*k**2. Let i(o) = 5*o**2. L