7 + 32*x**2/7 - 68*x - 3. Factor n(v).
2*(v + 2)*(v + 16)/7
Suppose -r - 3*v + 7*v - 10 = 0, 3*r = 4*v + 2. Suppose 0 = -7*z + r*z + 6. Determine d so that -3*d**4 - 4 + 4 + z*d**3 - 3*d**2 = 0.
0, 1
Let z(a) be the second derivative of a**5/50 - a**4/10 - 3*a**3/5 - a**2 + 7*a - 6. Factor z(t).
2*(t - 5)*(t + 1)**2/5
Let p(u) = -5*u**3 - 40*u**2 + 60*u + 726. Let l(m) = -10*m**3 - 80*m**2 + 120*m + 1455. Let s(c) = -2*l(c) + 5*p(c). Solve s(f) = 0 for f.
-6, 4
Factor -5*h**4 + h**3 - 4*h + 4*h**4 + 350 - 358 + 0*h**4 + 6*h**2.
-(h - 2)**2*(h + 1)*(h + 2)
Let m(c) = -c + 18. Let s be m(8). Factor s*b**2 - 5*b + 22*b**5 + 16*b**5 - 3*b**4 - 7*b**4 - 33*b**5.
5*b*(b - 1)**3*(b + 1)
Determine o, given that 60/7*o + 16 + 2/7*o**2 = 0.
-28, -2
Let p be 14/98 - 2/(-84). Let t(o) be the first derivative of -4/9*o**3 + 0*o**2 + 0*o + 2/15*o**5 + p*o**4 - 4. Factor t(n).
2*n**2*(n - 1)*(n + 2)/3
Let a = -2 + 2. Let p(y) = -2*y**2 - 4*y + 8. Let g be p(-3). Factor a*b**2 - 4 - 10*b + b**g + 17*b + b**2.
(b + 4)*(2*b - 1)
Let q(w) be the third derivative of 1/270*w**5 + 0*w + 20*w**2 + 0 + 0*w**3 - 1/216*w**4 - 1/1080*w**6. Find z such that q(z) = 0.
0, 1
Factor -12*c**4 - 3*c**4 - 111*c**3 - 192*c**2 - 65*c + 5*c.
-3*c*(c + 2)*(c + 5)*(5*c + 2)
Let g(n) be the first derivative of 9/8*n**4 + 0*n - 7/2*n**3 + 9/10*n**5 - 1/4*n**6 - 9/2*n**2 + 16. Suppose g(a) = 0. Calculate a.
-1, 0, 2, 3
Suppose 5*a + 23 = -n + 4*n, 13 = -3*a + n. Let t be 1/a + 1/4. Solve t + 2/5*d**3 + 2/5*d**2 + 0*d = 0.
-1, 0
Let f(x) = -21*x**4 - 15*x**3 - 20*x**2 - 14*x + 48. Let d(k) = 2*k**4 + k**3 - k**2. Let s(u) = 44*d(u) + 4*f(u). Let s(q) = 0. Calculate q.
-3, -2, 1, 8
Let n(k) be the first derivative of k**4/7 - 4*k**3/3 + 24*k**2/7 + 42. Solve n(w) = 0 for w.
0, 3, 4
Let y(i) be the third derivative of -i**5/15 + 5*i**4/2 - 52*i**3/3 - i**2 + 90*i. Factor y(v).
-4*(v - 13)*(v - 2)
Let i(g) be the first derivative of 0*g - 1/2*g**4 + 0*g**3 - 2/5*g**5 - 12 + 0*g**2. Solve i(q) = 0 for q.
-1, 0
Let x(i) = -i**5 - i**4 - i**3 + i**2 + i - 1. Let m(f) = 9*f**4 + 3*f**3 - 9*f**2 - 6*f - 3. Let q = -10 - -7. Let w(j) = q*x(j) + m(j). Factor w(v).
3*v*(v - 1)*(v + 1)**2*(v + 3)
Let i(b) be the third derivative of -1/30*b**5 + 7/108*b**4 - 3*b**2 + 1 + 0*b - 2/27*b**3 - 1/945*b**7 + 1/108*b**6. Factor i(k).
-2*(k - 2)*(k - 1)**3/9
Let s(a) = -a**3 + a. Let r(b) = 5*b**4 - 13*b**3 - 5*b**2 + 13*b. Let g(k) = -r(k) - 2*s(k). Factor g(w).
-5*w*(w - 3)*(w - 1)*(w + 1)
Let h(x) be the third derivative of -1/52*x**4 - 12*x**2 + 0 + 0*x + 0*x**7 - 1/2184*x**8 + 1/195*x**6 - 2/39*x**3 + 1/195*x**5. Determine p so that h(p) = 0.
-1, 1, 2
Factor -2/9*y**4 - 8/9*y**2 - 10/9*y**3 + 0 + 0*y.
-2*y**2*(y + 1)*(y + 4)/9
Suppose -4*y - 45 + 69 = 0. Let h(o) be the second derivative of -3*o**6 + 0 + 9/5*o**5 + 0*o**2 + 25/14*o**7 + 0*o**3 - 2/5*o**4 - y*o. Factor h(t).
3*t**2*(5*t - 2)**3/5
Suppose -230*v**3 - v**4 + 2*v - 6 - 29*v**2 - 19*v + 223*v**3 + 12*v**2 = 0. Calculate v.
-3, -2, -1
Let g = 263 + -260. Let z(n) be the first derivative of 3 - 2/15*n**g - 1/5*n**2 + 0*n. Find r, given that z(r) = 0.
-1, 0
Let f(o) be the third derivative of 0*o**3 + 19*o**2 - 2/5*o**6 + 1/4*o**4 + 0 - 1/4*o**5 - 9/70*o**7 + 0*o. Factor f(p).
-3*p*(p + 1)**2*(9*p - 2)
Let a(b) be the second derivative of b**5/40 - 7*b**4/12 + 49*b**3/12 + 2*b - 21. Factor a(d).
d*(d - 7)**2/2
Let t(b) be the first derivative of b**5/15 - b**4/12 - 2*b**3/3 + 2*b**2/3 + 8*b/3 - 196. Factor t(g).
(g - 2)**2*(g + 1)*(g + 2)/3
Let w(x) = x**3 - 65*x**2 + 39*x + 1600. Let t be w(64). Factor t + 0*o**2 + 0*o**3 - 2/13*o**5 + 0*o + 2/13*o**4.
-2*o**4*(o - 1)/13
Solve 8*j**4 - 784/5*j - 4/5*j**5 + 0 + 12/5*j**3 - 112*j**2 = 0 for j.
-2, 0, 7
Let n(m) = -7*m + 2*m**3 + 3*m**3 - m**4 + m. Suppose 5*l - 12 = 18. Let z(f) = -3*f**4 + 14*f**3 - 17*f. Let y(b) = l*z(b) - 17*n(b). Factor y(o).
-o**3*(o + 1)
Find l such that l + 14*l - 5 - 5*l**2 + 25 = 0.
-1, 4
Let b(v) = -7*v**2 - 9*v + 3. Let c(d) = -3*d**2 + d + 1. Let i(k) = b(k) - 3*c(k). Factor i(u).
2*u*(u - 6)
Suppose 3/7*f**3 + 4560/7*f - 4800/7 + 237/7*f**2 = 0. What is f?
-40, 1
Factor -39*t**2 - t**2 + 32*t + 6*t**3 + 0*t**3 - 12*t**2 + 0*t**2.
2*t*(t - 8)*(3*t - 2)
Let k(y) be the third derivative of y**8/1176 + 43*y**7/735 + 197*y**6/210 - 145*y**5/21 + 1541*y**4/84 - 529*y**3/21 - 745*y**2 - 1. Solve k(s) = 0.
-23, 1
Let r be (-6)/4*(-76)/133*21/6. Solve -6/5*b - 9/5*b**2 + 3/5*b**r + 3/5*b**5 + 9/5*b**4 + 0 = 0.
-2, -1, 0, 1
Solve 254*m**4 - 12*m**3 + 4*m**2 - 234*m**4 - 4*m**3 - 8*m**5 = 0.
0, 1/2, 1
Let l be 1/((14/(-12))/(-7)). Suppose 16 = -2*g + 26. Factor 5*d**3 - 8*d**4 + l*d**5 - 2*d**g + 0*d**5 - d**3.
4*d**3*(d - 1)**2
Let b(f) be the third derivative of -3*f**5/10 + 49*f**4/24 - 5*f**3/3 + 11*f**2 - 5. What is o in b(o) = 0?
2/9, 5/2
Determine g, given that -5*g**3 - 19535*g + 19535*g + 5*g**2 - 15*g**5 - 25*g**4 = 0.
-1, 0, 1/3
Let m(l) be the first derivative of 0*l**5 + 3 - 1/48*l**4 + 0*l + 0*l**2 + 1/3*l**3 + 1/720*l**6. Let d(c) be the third derivative of m(c). Factor d(v).
(v - 1)*(v + 1)/2
Let b(c) = c**4 - 2*c**3 - c**2 - c + 1. Let a(n) = -20*n**4 + 10*n**3 + 480*n**2 - 1465*n + 1025. Let x(p) = a(p) + 15*b(p). Factor x(u).
-5*(u - 4)**2*(u - 1)*(u + 13)
Let g(n) be the second derivative of n**5/150 + n**4/6 + 7*n - 12. Find w, given that g(w) = 0.
-15, 0
Let f(b) = b**2 - 1. Let k(s) = 7*s**2 + 2*s - 5. Let q = -38 - -32. Let j(r) = q*f(r) + k(r). Factor j(p).
(p + 1)**2
Let a(x) be the first derivative of -x**6/12 - x**5/10 + 9*x**4/8 + x**3/6 - 5*x**2 + 6*x - 200. Determine v so that a(v) = 0.
-3, -2, 1, 2
Let h(d) = -d**2 - 78*d - 136. Let l be h(-76). Let k(i) be the first derivative of 4*i**3 + 12 - 1/2*i**4 + l*i - 12*i**2. Find n such that k(n) = 0.
2
Suppose -9*c + 18 = -11*c - 2*n, 15 = -3*c + n. Let x be (8 + c - 1) + 2. Find y, given that 16/5*y**x + 2/5 + 8*y**2 + 17/5*y = 0.
-2, -1/4
Let r(a) = 12*a**2 + 24*a. Let j be (-121)/(-7) + 2/(-7). Let p(n) = 2*n + 2*n**2 + 5*n + n + 2*n**2. Let l(h) = j*p(h) - 6*r(h). Let l(y) = 0. What is y?
-2, 0
Let b = 0 + 2. Let v(j) = -j + 9. Let f be v(6). Factor 4 + 4*q + q**2 - 5*q + f*q - 3*q**b.
-2*(q - 2)*(q + 1)
Let h(o) be the third derivative of -o**5/30 - 5*o**4/6 - 7*o**3 + 63*o**2 + 5*o. Factor h(a).
-2*(a + 3)*(a + 7)
Let q(g) be the third derivative of g**6/3060 - g**5/510 + g**4/204 - 2*g**3/3 - 6*g**2. Let t(s) be the first derivative of q(s). What is b in t(b) = 0?
1
Let r = -137 + 91. Let b = -25 - r. Find u, given that 7*u**2 - 5 - 4*u**3 - 4*u**4 + b + 29*u**2 - 44*u = 0.
-4, 1
Let r(l) be the third derivative of 0 - l**3 + 1/16*l**6 + 3/40*l**5 - 1/2*l**4 + 0*l - 1/70*l**7 + 12*l**2. What is d in r(d) = 0?
-1, -1/2, 2
Factor -16/13*r - 2/13*r**3 + 8/13 + 10/13*r**2.
-2*(r - 2)**2*(r - 1)/13
Suppose 4*n - 8 = 12, -2*n + 34 = 4*g. Suppose 5*a + 45 = 4*j, j - 2*j + g = -3*a. Determine k so that 53*k - j*k**5 - 53*k + 6*k**4 = 0.
0, 2/5
Suppose -2*n = 3*h - 19, 0 = -h + 4*n - 66 + 49. Factor -30*o**2 - 57/2*o - 9 - 21/2*o**h.
-3*(o + 1)**2*(7*o + 6)/2
Let b be ((-31)/62)/(9/(-4)). Let -2/3*v**2 + 0 - b*v - 2/9*v**4 - 2/3*v**3 = 0. Calculate v.
-1, 0
Let d(q) = -2*q**2 + 3*q. Let j(z) = 23*z**2 - 153*z + 3600. Let t(h) = -44*d(h) - 4*j(h). Factor t(u).
-4*(u - 60)**2
Let a(k) be the third derivative of 12*k**2 + 0 + 1/240*k**5 + 1/32*k**4 - 1/6*k**3 + 0*k. Factor a(o).
(o - 1)*(o + 4)/4
Factor 70*d - 59*d**2 + 4*d**3 + 17*d + 79*d + 46*d + 3*d**2 - 160.
4*(d - 8)*(d - 5)*(d - 1)
Let n(c) = -129*c - 643. Let h be n(-5). Factor 3/4*o**h + 2/3*o + 0 + 1/12*o**3.
o*(o + 1)*(o + 8)/12
Let w(p) = p**2 + 15*p + 6. Let r = -38 + 23. Let x be w(r). Let k**2 + 4*k**3 - 11*k**2 + 8*k - x*k**2 + 6*k**3 - 2*k**4 = 0. Calculate k.
0, 1, 2
Let z = 20 - 18. Let k be (-6)/(-5)*10/18. Determine y so that -1/3*y**z - k*y - 1/3 = 0.
-1
Let b(j) = -3*j - 62. Let a be b(-18). Let k be (a - -9)*(-8)/(-2). Suppose 5/4*z**3 - z**k + 0*z + 1/4*z**5 + 0 - 1/2*z**2 = 0. What is z?
0, 1, 2
Let u(l) = -9*l**3 - 36*l**2 - 13*l + 7. Let v(a) = a**3 + 2*a**2 - a - 1. Let y(d) = -2*u(d) - 14*v(d). Find x such that y(x) = 0.
-10, -1, 0
Let p be (-6)/(-24) - 14/(-8). Suppose 0 = 3*d - p*d - 2. Factor -v**d - v + 5*v + 0*v -