+ 2)*(b + 9)/7
Suppose 2*a + 98 = -5*f, -a + 0*f = 3*f + 48. Let x = 56 + a. Find s such that -6*s + 3 + 19*s**2 - 18*s**x + 2*s = 0.
1, 3
Let u = -25 + 29. Let b be 5/(-15*((-15)/(-18))/(-5)). Factor -b*n**2 - 3 + 1 - u + 9*n - n**2.
-3*(n - 2)*(n - 1)
Let f(z) be the third derivative of -z**7/420 + 11*z**6/240 - 19*z**5/60 + 13*z**4/12 - 2*z**3 - z**2 - 1409*z. Factor f(n).
-(n - 6)*(n - 2)**2*(n - 1)/2
Let i be (-2)/8*(29 + -85). Let p(c) = -5*c + 72. Let s be p(i). What is w in 0*w**s + 0 - 1/7*w**5 + 2/7*w**4 + 0*w - 1/7*w**3 = 0?
0, 1
Let p(t) = 18*t**2 - 14*t - 14. Let g(v) = -3*v**2 + 2*v + 2. Let j(i) = 5*g(i) + p(i). What is d in j(d) = 0?
-2/3, 2
Let y(n) = -7*n**3 + 206*n**2 + 446*n - 12. Let g(w) = w**3 + 4*w**2 + 3*w + 2. Let f(l) = -6*g(l) - y(l). Factor f(t).
t*(t - 232)*(t + 2)
Let y(p) = -9 + 3 + 4 + 3*p. Let c be y(1). Find g, given that -49*g**2 + 0 - 9 + c - g**2 - 40*g = 0.
-2/5
Factor 95*z + 1/5*z**3 + 1083/5 + 41/5*z**2.
(z + 3)*(z + 19)**2/5
Let u(q) be the second derivative of -q**6/10 + 3*q**5/4 - 2*q**4 + 2*q**3 - 84*q - 6. Find h such that u(h) = 0.
0, 1, 2
Let g(q) = 291*q**2 + 19461*q + 2964. Let k(c) = 83*c**2 + 5560*c + 847. Let t(s) = -5*g(s) + 18*k(s). Let t(u) = 0. Calculate u.
-71, -2/13
Determine h so that 4*h**2 + 14*h**5 + 76*h**4 - 42*h**2 + 3*h**2 - 6*h**5 - 29*h**2 - 384*h + 184*h**3 + 180 = 0.
-5, -3, 1/2, 1
Factor -13*h**3 - 1680*h + 57*h**2 + 21*h**2 - 1152 + 226*h**2 + 0*h**3.
-(h - 12)**2*(13*h + 8)
Suppose 0 = -5*x + 8*x - 6. Factor 3*g - 9*g + 12 + 2*g**x - 8*g.
2*(g - 6)*(g - 1)
Let r(k) be the first derivative of -74 + 8/11*k**2 - 2/33*k**3 + 18/11*k. Factor r(v).
-2*(v - 9)*(v + 1)/11
Suppose 2*y - y + 2*r = 560, -3*r - 1134 = -2*y. Let m be ((-6)/4)/((234/y)/(-13)). Let 7*p - m - 62*p + 19 + 78 + 5*p**2 = 0. Calculate p.
1, 10
Let d be (-8)/5 + 14/(-35). Let u be (19 + -11)*(-1 - d) + -6. Factor 6/7 - 3/7*o**u + 3/7*o.
-3*(o - 2)*(o + 1)/7
Let k(f) be the third derivative of f**7/385 + 173*f**6/660 + 47*f**5/55 + 28*f**4/33 - 611*f**2 + 3. Determine m, given that k(m) = 0.
-56, -1, -2/3, 0
Let s = -1/105387 - 780285341/737709. Let h = s - -1058. Factor h*k**3 + 2/7*k**2 - 2/7 - 2/7*k.
2*(k - 1)*(k + 1)**2/7
Let g(d) = -6*d - 190. Let r be g(-32). Solve -3 + 34335*z - r*z**2 - 34326*z + 14*z**2 = 0 for z.
-1, 1/4
Factor -2142 - 2/7*z**3 + 78*z + 50/7*z**2.
-2*(z - 21)**2*(z + 17)/7
Suppose 5*g - 25 = 0, 4*s + 4*g - 32 = 16. Factor 19 + 13*i**2 + s*i - 55*i + 34 - 17 - i**3.
-(i - 6)**2*(i - 1)
Suppose 17*b - 2*c = 16*b + 10, -6 = -b + c. Let y(f) be the first derivative of -10 + 1/12*f**3 + 1/8*f**b - 1/2*f. Factor y(r).
(r - 1)*(r + 2)/4
Let v = 5/2047 + 18388/14329. Factor 6/7*a**2 + 3/7*a**5 - v*a**4 - 9/7*a + 3/7 + 6/7*a**3.
3*(a - 1)**4*(a + 1)/7
Factor -208*g - 1/3*g**2 - 623/3.
-(g + 1)*(g + 623)/3
Let n(q) be the second derivative of -q**5/4 - 755*q**4/4 + 3895*q. Determine i, given that n(i) = 0.
-453, 0
Let g(z) = 32*z**3 + 401*z**2 - 389*z + 11. Let o(m) = 17*m**3 + 201*m**2 - 194*m + 6. Let v(u) = -6*g(u) + 11*o(u). Factor v(n).
-5*n*(n - 1)*(n + 40)
Let z = 72 - 62. Suppose 3*n = -3*s + 6, 4 = 5*s + n - z. What is v in -8*v**5 + 48*v**2 - 48*v**4 - 8*v + 39*v**s - 19*v**5 - 4*v = 0?
-2, -1, 0, 2/9, 1
Let k(f) be the second derivative of -f**5/270 - 5*f**4/108 - 21*f**2/2 + 99*f. Let w(h) be the first derivative of k(h). Find o such that w(o) = 0.
-5, 0
Let d(n) be the second derivative of -n**4/12 + 111*n**3/2 - 331*n**2 - 3445*n. Factor d(t).
-(t - 331)*(t - 2)
Let h = -954/43 + 4813/215. Factor 3/5*d + 4/5 - h*d**2.
-(d - 4)*(d + 1)/5
Suppose 4*b = h + 3, -2*b + 4*h = h + 11. Factor 23*k**3 - 6*k**4 + 0*k**2 + 9*k**2 - 9*k**5 - k**b - 16*k.
-k*(k - 1)**2*(3*k + 4)**2
Let g = 333 - -8122. Factor 12456 + i**2 + 4*i**2 + 21204 - 710*i - g.
5*(i - 71)**2
Let z(x) be the first derivative of 14*x**5/25 - 447*x**4/5 + 10616*x**3/3 + 129624*x**2/5 + 69696*x/5 + 7380. Let z(q) = 0. Calculate q.
-4, -2/7, 66
Let t(k) be the first derivative of 3*k**4/20 - 7*k**3/5 - 27*k**2/10 + 189*k/5 - 389. Suppose t(b) = 0. Calculate b.
-3, 3, 7
Let a(y) be the first derivative of 0*y - 1/60*y**5 - 4 - 5/6*y**4 - 50/3*y**3 + 21/2*y**2. Let n(w) be the second derivative of a(w). Solve n(o) = 0 for o.
-10
Suppose -4*b - 5*j = -84, b + 21 = 2*b + 4*j. Let b*t**2 - 36 - 15*t - 27*t**2 - 60*t = 0. What is t?
-12, -1/2
Find z such that -264/5*z - 6/5*z**2 - 738/5 = 0.
-41, -3
Let q(w) be the first derivative of 9*w**5/5 - 1437*w**4/4 + 1724*w**3 - 1866*w**2 - 1872*w - 2342. Let q(k) = 0. Calculate k.
-1/3, 2, 156
Factor 3549452/3*i + 1/3*i**3 + 3766/3*i**2 + 7083848/3.
(i + 2)*(i + 1882)**2/3
Let r(b) = -143*b - 9292. Let q be r(-65). Let u(x) be the first derivative of 2/3*x**q - 24 + 0*x - 4*x**2. Factor u(n).
2*n*(n - 4)
Factor -3/7*h**2 + 954/7*h + 957/7.
-3*(h - 319)*(h + 1)/7
Suppose -34 = 5*d + 131. Let b be d/(-6) + (20/8)/(-5). Determine p, given that -4*p**2 - 6*p**3 - 3*p**4 + 4*p**b + 4*p**2 - p**5 = 0.
-1, 0, 2
What is g in 124250/19*g**2 + 1000/19*g**3 - 128/19*g**5 - 2080/19*g**4 + 122500/19*g - 2143750/19 = 0?
-35/4, 5
Let t(o) = 5*o**2 - 919*o - 912. Let w(m) = -15*m**2 + 1840*m + 1825. Let u(x) = -5*t(x) - 2*w(x). Solve u(l) = 0.
-182, -1
Suppose 152 = -5*y + 522. Let m(q) = -q**3 + 6*q**2 - 2*q + 15. Let d be m(6). Factor 7*o**3 - 2*o**d + 78*o - o**4 - 8*o**2 - y*o.
-o*(o - 2)**2*(o - 1)
Let o = -753 - -755. Suppose -9*d + 288 = -7*d. Factor -108 + 22*t**3 + 18*t**3 + 0*t**4 + 216*t - 4*t**4 - d*t**o.
-4*(t - 3)**3*(t - 1)
Let s be ((-20208)/(-880) + -23)*-5. Factor 0 + 8/11*v**4 - 12/11*v**3 + 8/11*v**2 - 2/11*v**5 - s*v.
-2*v*(v - 1)**4/11
Suppose 5*g + w - 5 = 0, 0 = 5*g + 3*w - 0*w - 15. Let r be (-3)/3*-2*6 - g. Solve 45*k**3 - 5*k**3 + 18*k**2 + 2*k**2 - 187*k**5 - 155*k**4 + r*k**5 = 0 for k.
-1, -2/7, 0, 2/5
Let g be ((-25)/40)/((-315)/84). Let h(z) be the third derivative of 2/3*z**4 - g*z**5 - 4/3*z**3 + 1/60*z**6 + 0*z - 28*z**2 + 0. Let h(f) = 0. What is f?
1, 2
Factor -10*q + 0*q**5 + 190*q**2 - 2*q**4 - 373*q**2 + 3*q**3 - 3*q**4 + 196*q**2 - q**5.
-q*(q - 1)**2*(q + 2)*(q + 5)
Suppose -397 - 612 = -88*s - 745. Suppose s*y - 3*y**3 - 9/5*y**2 - 3/5*y**4 + 12/5 = 0. Calculate y.
-4, -1, 1
Let h(a) = 37*a + 16. Let y(u) = -u**2 + u + 1. Let n(i) = h(i) + 2*y(i). Let w be n(19). Let -50*x**2 + 127*x**2 - 36 - w*x**2 - 4*x**4 = 0. What is x?
-3, -1, 1, 3
Let r(m) be the first derivative of 11*m**4/4 + 97*m**3/3 - 9*m**2 - 16. Factor r(a).
a*(a + 9)*(11*a - 2)
Let q(t) = 5027*t - 5024. Let i be q(1). Let 3/2*v**i - 9 - 33/2*v - 6*v**2 = 0. Calculate v.
-1, 6
Suppose -10*o - 27 + 227 = 0. Factor 34*h**2 - o*h - 18*h**2 - 1 + 9 - 4*h**3.
-4*(h - 2)*(h - 1)**2
Let q = -97 + 127. Factor -5*n**4 - 39 + 4758*n - 4778*n + 20*n**3 + q*n**2 + 14.
-5*(n - 5)*(n - 1)*(n + 1)**2
Let i(n) be the third derivative of -n**7/840 + 29*n**6/120 - 737*n**5/48 + 3025*n**4/16 + 4*n**2 + 208*n + 1. Factor i(m).
-m*(m - 55)**2*(m - 6)/4
Let j(p) be the second derivative of -p**7/42 - 11*p**6/3 - 194*p**5 - 9500*p**4/3 + 101080*p**3/3 - 109744*p**2 - 11*p + 10. Solve j(f) = 0 for f.
-38, 2
Let s(g) be the second derivative of -5/3*g**4 + 0 + 1/7*g**7 - 3/2*g**5 + 68*g + 8*g**2 + 2/15*g**6 + 4*g**3. Find k, given that s(k) = 0.
-2, -1, -2/3, 1, 2
Let u(t) be the first derivative of 2*t**3/9 - 53*t**2/3 + 68*t + 285. Factor u(w).
2*(w - 51)*(w - 2)/3
Let u(b) be the first derivative of 1/30*b**6 + 0*b**4 + 4/3*b**3 - 8/5*b**2 - 1/5*b**5 - 95 + 0*b. What is n in u(n) = 0?
-2, 0, 1, 2, 4
Let h(n) = 9*n**3 - 219*n**2 - 666*n - 36. Let k(t) = -8*t**3 + 219*t**2 + 669*t + 30. Let x(u) = -5*h(u) - 6*k(u). Factor x(m).
3*m*(m - 76)*(m + 3)
Let l = 80079 - 240220/3. Factor 0*v - v**4 + 5/3*v**5 + 19/3*v**2 - 4/3 - l*v**3.
(v - 1)**3*(v + 2)*(5*v + 2)/3
Find r, given that -2/5*r**3 - 59582/5 - 186/5*r**2 - 5766/5*r = 0.
-31
Let o(w) = 4*w**2 - 8*w - 2. Let r be o(-2). Factor -22 + 24*n**2 - 2*n**4 + r - 12*n**3 - 8 - 2*n**4 + 32*n.
-4*n*(n - 2)*(n + 1)*(n + 4)
Let l(d) be the second derivative of 8*d**2 + 1/24*d**5 - 7/48*d**4 - 1/240*d**6 + 1/4*d**3 - 13*d + 0. Let v(n) be the first derivative of l(n). Factor v(s).
-(s - 3)*(s - 1)**2/2
What is a in -798*a + 3*a**4 + 276*a**2 - 127 - 388 - 246 - 487 + 78*a