= 5*v - s*v + 2*x - 15, -v + 3 = -4*x. Let -4*j**3 + v*j - 6*j**2 - 8 + 5*j**3 + 2*j + 7*j = 0. Calculate j.
2
Let d be -3*(-58)/54 + (-2)/9. Let -2*q + 17*q**2 - q - 3*q**d - 23*q**2 + 0*q = 0. What is q?
-1, 0
Let j(s) be the first derivative of -5*s**4/4 + 30*s**3 + 195*s**2/2 + 100*s - 160. Find d, given that j(d) = 0.
-1, 20
Factor c**2 - 876*c + 2*c**2 + 1968*c + 0*c**2 + 99372.
3*(c + 182)**2
Let f(r) be the second derivative of 4/25*r**5 - 13*r + 0*r**6 + 0 - 2/15*r**4 + 4/5*r**2 - 2/105*r**7 - 2/5*r**3. Suppose f(j) = 0. Calculate j.
-2, -1, 1
Let b(y) = y**2 + y. Let t(j) = -34*j**2 - 36*j. Let u(c) = c**2 - c. Let f(p) = -t(p) - 4*u(p). Let w(q) = 25*b(q) - f(q). Factor w(v).
-5*v*(v + 3)
Let k be 1/(-8)*-11 + 4. Let w = -293/56 + k. Let -1/7*p**5 - w*p**3 + 0*p + 0*p**2 - 2/7*p**4 + 0 = 0. What is p?
-1, 0
Let m(h) = -9*h + 52 - 2*h**2 + 3*h**2 - 38. Let t be m(7). Suppose -3*z + 30*z**3 + t + 18*z**5 - 87/2*z**4 - 3/2*z**2 = 0. Calculate z.
-1/4, 0, 2/3, 1
Let t be (-115)/12*884/(-130). Let m = t + -65. Factor 1/3 - 1/6*y**2 + m*y.
-(y - 2)*(y + 1)/6
Let v(s) be the third derivative of s**4/3 - 67*s**3/6 + 5*s**2 + 2*s. Let j be v(9). Factor -60*h + 1005/4*h**2 - 405/4*h**j + 5 + 1395/4*h**4 - 1775/4*h**3.
-5*(h - 1)**3*(9*h - 2)**2/4
Suppose 7*h = 6*h + 21. Let s = h - 17. Factor 20*k**2 + 0*k - k**3 + 4*k**s + 17*k**3 + 8*k.
4*k*(k + 1)**2*(k + 2)
Let f = 80 - 75. Determine d so that -5*d**f + 4*d**5 - d**5 - d**5 - 3*d**4 + 3*d**3 + 3*d**2 = 0.
-1, 0, 1
Let p(r) be the third derivative of 5*r**9/3024 - r**8/168 + r**6/36 - r**5/24 + 13*r**3/6 + 24*r**2. Let z(m) be the first derivative of p(m). Factor z(v).
5*v*(v - 1)**3*(v + 1)
Let r = 36 - 51. Let m(l) = -4*l**2 + 5*l + 3. Let d(b) = -b**2 - b - 1. Let h(q) = r*d(q) - 5*m(q). Solve h(g) = 0.
0, 2/7
Find s, given that -4/5*s - 16/5*s**2 + 24/5 - 4/5*s**3 = 0.
-3, -2, 1
Factor 9/2*w - 3/2*w**2 + 6.
-3*(w - 4)*(w + 1)/2
Let d(a) = -a**2 + 7*a - 2. Let j(t) = t. Suppose -i - 4 = -0*i. Let l(y) = i*j(y) + d(y). Determine o so that l(o) = 0.
1, 2
Let u(t) be the second derivative of -t**5/20 + t**4/2 + 2*t**3/3 - 12*t**2 + 33*t + 2. Determine o so that u(o) = 0.
-2, 2, 6
Let y(l) = l**2 - 4*l - 2. Let m(g) = 8*g**2 + 216*g - 4380. Let r(v) = -m(v) + 12*y(v). Determine b so that r(b) = 0.
33
Let a(o) be the second derivative of o**6/120 - 2*o**5/15 + 2*o**4/3 + 47*o**2/2 - 15*o. Let w(h) be the first derivative of a(h). Factor w(r).
r*(r - 4)**2
Let h(j) = -j**3 - 12*j**2 - j. Let n be h(-12). Let -b**3 + 4*b**5 + n*b**4 + 2*b**3 + 7*b**3 = 0. Calculate b.
-2, -1, 0
Let s be (12/90)/(30/25). Let t(b) be the second derivative of 0 + 1/9*b**4 - 10*b - s*b**3 - 1/30*b**5 + 0*b**2. Solve t(j) = 0 for j.
0, 1
Let v be -1 - 1 - (1197/28)/(-19). Let k(r) be the first derivative of 2/3*r**3 - 2*r + 6 + v*r**4 - 1/2*r**2. Let k(c) = 0. What is c?
-2, -1, 1
Let s(k) = k**2 + 8*k - 63. Let c be s(-13). Factor -15*b**2 + 2*b**3 - 7*b**2 + 31*b**c + b**3 - 12.
3*(b - 1)*(b + 2)**2
Let y(p) be the second derivative of 7/6*p**6 + 1/2*p**5 - 5/3*p**3 + 0*p**2 + 0 + 3*p - 35/12*p**4. Factor y(k).
5*k*(k - 1)*(k + 1)*(7*k + 2)
Let a(y) = -3*y**2 - 14*y + 28. Let u(w) = -w**2 + 1. Let v(f) = -a(f) + 4*u(f). Let x be v(11). What is q in -6*q**2 + 0 + x*q**2 - 3*q + 0 = 0?
0, 1
Let 2/3*u**2 - 104/3*u - 72 = 0. Calculate u.
-2, 54
Suppose -x = -177 + 159. Let u = x - 69/4. Factor 0*n**2 + 1/2*n**4 + 0 + u*n**5 + 0*n**3 + 0*n.
n**4*(3*n + 2)/4
Let y(n) be the first derivative of -2*n**5/5 + 4*n**4 - 4*n**3/3 - 80*n**2 + 150*n - 17. Factor y(b).
-2*(b - 5)**2*(b - 1)*(b + 3)
Factor 0*q**2 + 0*q**2 - 1 - 6*q - 6 + q**2.
(q - 7)*(q + 1)
Let l(p) = 4*p**2 + 70*p - 77. Let m(w) = -22*w**2 - 422*w + 461. Let x(c) = 34*l(c) + 6*m(c). Suppose x(s) = 0. What is s?
1, 37
Let s = 193/106680 - -3/1016. Let q(z) be the second derivative of -3/50*z**5 + 2/75*z**6 + 0*z**2 + 1/15*z**4 - 1/30*z**3 - 6*z - s*z**7 + 0. Solve q(n) = 0.
0, 1
Suppose 0*f - 16 = -2*f. Let r = f + -6. Suppose -3*p**2 + 7*p - 5*p**r + 3*p**2 - 2 = 0. What is p?
2/5, 1
Solve 14*c**4 - 5*c - 8*c**4 + 5*c**3 + 9*c**2 - 4*c**2 - 11*c**4 = 0 for c.
-1, 0, 1
Let x(m) = 90*m**4 + 123*m**3 + 37*m**2 - 104*m - 43. Let a(b) = -22*b**4 - 31*b**3 - 9*b**2 + 26*b + 11. Let n(r) = -26*a(r) - 6*x(r). Factor n(p).
4*(p + 1)**3*(8*p - 7)
Suppose 0 = -11*x + 13*x - w + 3, -3*x - 12 = -4*w. Factor 3/7*r**3 + 0 + 0*r + x*r**2.
3*r**3/7
Solve 0 + 8/7*m**2 - 2/7*m**3 - 6/7*m = 0.
0, 1, 3
Let h = -107 - -134. Suppose h = 16*w - 5. Find y such that -2/5*y**4 + 0 - 1/5*y + 1/5*y**5 + 2/5*y**w + 0*y**3 = 0.
-1, 0, 1
Let m(u) be the first derivative of -6/5*u**3 - 33/20*u**4 - 3/5*u**5 + 0*u**2 + 0*u + 15. Solve m(x) = 0 for x.
-6/5, -1, 0
Let a(w) = -2*w**3 - 10*w**2 - 31*w - 18. Let m(g) = g**3 + 2*g - 2. Let i(l) = -a(l) - m(l). Solve i(k) = 0 for k.
-5, -4, -1
Let c = 104 + -103. Suppose -10*w + 29 = -c. Factor -2/7*s**w + 0 + 2/7*s + 0*s**2.
-2*s*(s - 1)*(s + 1)/7
Let a = -13 - -21. Suppose a*v - 4*v = 8. Find k, given that -3*k**3 + v*k**2 + 14*k**5 + 2*k**4 - 6*k**3 + k**4 = 0.
-1, 0, 2/7, 1/2
Let y(g) be the second derivative of -1/100*g**5 + 0 - g + 0*g**3 + 1/300*g**6 + 1/120*g**4 + 0*g**2. Let y(l) = 0. What is l?
0, 1
Suppose 0 = 39*p - 21*p - 36. Let f(l) be the first derivative of 1/2*l**6 + 0*l**p + 0*l - 3/2*l**4 + 0*l**3 - 7 - 3/5*l**5. Find c such that f(c) = 0.
-1, 0, 2
Let o be -182 + 186 - (2*-1 + 6). Factor 2/15*q**4 + o - 2/15*q**3 + 2/15*q - 2/15*q**2.
2*q*(q - 1)**2*(q + 1)/15
Let o = 1/752 - -1495/6768. Let c(a) be the second derivative of -1/30*a**5 + 0 - a + 2/3*a**2 + o*a**4 - 5/9*a**3. Determine i so that c(i) = 0.
1, 2
Let p be (9/15)/(19 - (-34176)/(-1800)). Suppose -675/2 - 3/2*d**2 + p*d = 0. What is d?
15
Suppose -3*x = -5*x + 3*m + 13, -3*m - 17 = -4*x. Suppose 5*v + x*q - 5 - 4 = 0, 5*v = -5*q. Determine a, given that 0*a - 2/3*a**v + 0 - 4/9*a**2 = 0.
-2/3, 0
Suppose -21/4*y + 3/2*y**2 - 27/4 = 0. Calculate y.
-1, 9/2
Let m = -5 + 5. Let o(l) = l + 5. Let i be o(m). Factor 7*w**3 + 3*w**i + 3*w**4 - 12*w**3 - w**3 - 6*w**4.
3*w**3*(w - 2)*(w + 1)
Let i = 13133 - 65663/5. Suppose -i*p**2 - 2/5 + 4/5*p = 0. Calculate p.
1
Let b(m) be the third derivative of -m**8/168 + 4*m**7/105 + m**6/30 - 4*m**5/15 - m**4/12 + 4*m**3/3 + 4*m**2 - 26*m. Let b(r) = 0. What is r?
-1, 1, 4
Let g be 0*(104/(-65) + (-6)/(-10)). Let o be 117/27 - (g - -3). What is f in -2/3 + 4/3*f**5 + 4/3*f + o*f**2 - 8/3*f**3 - 2/3*f**4 = 0?
-1, 1/2, 1
Let u = -51 + 53. Let x be (1 + 3)/u - 6/8. Factor -5/4*z**4 - 1/2*z**3 + 0 + x*z**2 + 1/2*z.
-z*(z - 1)*(z + 1)*(5*z + 2)/4
Let f = -184 + 188. Suppose 0 = -15*q + f*q + 33. Factor 0*g - 1/2*g**2 + 0 - 1/4*g**q.
-g**2*(g + 2)/4
Let z = -34 + 31. Let c(m) = -26*m**3 - 20*m**2 + 26*m + 4. Let q(r) = 5*r**3 + 4*r**2 - 5*r - 1. Let u(n) = z*c(n) - 16*q(n). Find f, given that u(f) = 0.
-2, -1, 1
Solve -80/7*b + 26/7*b**4 + 78/7*b**3 - 72/7 + 46/7*b**2 + 2/7*b**5 = 0.
-9, -2, -1, 1
Let b = 2944/265 - 111/10. Let v = 215/318 - b. Find x such that v*x**2 + 2/3 + 4/3*x = 0.
-1
Let j(b) be the third derivative of -2*b**2 + 0*b**3 + 1/180*b**5 - 1/144*b**4 + 0*b + 0 - 1/504*b**8 - 1/315*b**7 + 1/240*b**6. Let j(r) = 0. Calculate r.
-1, 0, 1/2
Let s(a) be the first derivative of -2*a**6/15 + 3*a**5/5 - 8*a**3/3 - a + 11. Let z(b) be the first derivative of s(b). Suppose z(h) = 0. Calculate h.
-1, 0, 2
Let 11/7*u - 1/7*u**3 - 726/7 + 16/7*u**2 = 0. Calculate u.
-6, 11
Let f(j) be the first derivative of j**3/21 + 2*j**2/7 - 3*j + 90. Suppose f(o) = 0. What is o?
-7, 3
Let i = 152 + -107. Factor -91 + 8*w + 50 + i + 3*w**2.
(w + 2)*(3*w + 2)
Let m(k) be the second derivative of -k**4/4 + 5*k**3/2 + 21*k**2 - 19*k. Factor m(c).
-3*(c - 7)*(c + 2)
Let t(g) be the second derivative of -g**7/1890 - g**6/180 + g**5/108 + g**3/3 + 6*g. Let h(o) be the second derivative of t(o). Factor h(n).
-2*n*(n + 5)*(2*n - 1)/9
Let p(t) = -2*t**2 - 14*t + 4*t + 15*t**4 - 8*t**2. Let w(x) = 16*x**4 - x**3 - 10*x**2 - 11*x. Let d(k) = 6*p(k) - 5*w(k). Factor d(c).
5*c*(c - 1)*(c + 1)*(2*c + 1)
Let v(j) be the first derivative of -2125*j**4/24 - 125*j**3/6 + 85*j**2/3 + 10*j - 743. Solve v(t) = 0.
-2/5, -3/17, 2/5
Let z(r) be the first derivative of 0