 14*i - 1/15*i**4. Suppose o(j) = 0. What is j?
-1
Let -236/7*t - 144 + 130/7*t**2 - 2/7*t**3 = 0. What is t?
-2, 4, 63
Let p be 72/(-33) + (-10)/(-55). Let u be 0 + 5 + (p/(-1) - 3). Determine z, given that -14*z**4 - 2*z**2 + 4*z**3 - 3*z**5 - 21*z**4 + 30*z**u + 6*z**2 = 0.
-2, -2/3, 0, 1
Let r be 0 - 1 - (-1)/((-5)/20). Let i(v) = -7*v**3 + 7*v**2 + 8*v - 6. Let f(t) = -6*t**3 + 6*t**2 + 7*t - 5. Let m(k) = r*i(k) + 6*f(k). Factor m(w).
-w*(w - 2)*(w + 1)
Let u(g) = -6*g + 2*g + 2 - 2*g + 246*g**2 - g**3 - 253*g**2. Let t be u(-6). Let -q**2 + 6*q**3 + 8*q + 5*q**2 + q**t + q**4 + 7*q**2 = 0. What is q?
-2, 0
Let x be ((-1905)/(-19304)*19)/((-5)/(-28)). Let 0*f + x*f**2 + 0 - 1/2*f**4 + 2*f**3 = 0. What is f?
-3, 0, 7
Let c(w) = w**2 - 33*w - 42. Let a(y) = -2*y**2 + 68*y + 70. Let i(d) = 3*a(d) + 5*c(d). Determine z so that i(z) = 0.
0, 39
Let b be 1/((2/12)/(462/44)). Let -b*u + 37 + 6*u**2 - 2*u**2 + 4*u + 11*u + 103 = 0. Calculate u.
5, 7
Let d = 5407641/8 + -675955. Factor -1/8*o**3 - 1/8*o**4 + d*o**2 + 0 + 1/8*o.
-o*(o - 1)*(o + 1)**2/8
Let s(q) be the second derivative of -5*q**4/2 + 55*q**3/3 - 65*q**2/2 - 132*q. Let v(c) = -28*c**2 + 111*c - 67. Let b(n) = -4*s(n) + 5*v(n). Factor b(j).
-5*(j - 5)*(4*j - 3)
Suppose 2*s - 2*y - 53 = -43, 9*y = -s - 15. Factor -26/7*w - 2/7*w**5 + 44/7*w**2 + 2*w**4 - 36/7*w**s + 6/7.
-2*(w - 3)*(w - 1)**4/7
Let m(h) be the first derivative of -h**7/252 - h**6/36 - h**5/15 - h**4/18 + 4*h - 69. Let k(u) be the first derivative of m(u). Factor k(x).
-x**2*(x + 1)*(x + 2)**2/6
Let j(x) = -12*x**2 - 66*x + 135. Let a(d) = -7*d**2 - 33*d + 67. Let m be 329/(-63) + (-4)/(-18). Let q(w) = m*a(w) + 3*j(w). Factor q(n).
-(n - 2)*(n + 35)
Let x(z) = -z**4 + z**3 + z + 1. Let j(g) = 4*g**4 + 12*g**3 - 68*g**2 + 95*g - 53. Let n(k) = 4*j(k) + 20*x(k). Suppose n(q) = 0. Calculate q.
1, 2, 12
Let a(q) = -q**5 + q**4 - 2*q**3 - q**2 - q + 1. Let k(i) = 6*i**5 + 36*i**4 - 26*i**3 + 8*i**2 + 8*i - 8. Let p(t) = -8*a(t) - k(t). Factor p(j).
2*j**3*(j - 21)*(j - 1)
Let h(s) be the first derivative of -s**5/80 - s**4/16 - s**3/8 + 325*s**2/2 + 63. Let m(u) be the second derivative of h(u). Factor m(j).
-3*(j + 1)**2/4
Let u(d) be the second derivative of -3*d**5/100 + 13*d**4/20 + 161*d**3/10 + 441*d**2/10 - 11*d - 21. Factor u(x).
-3*(x - 21)*(x + 1)*(x + 7)/5
Let o = -266 + -194. Let w be 40/o + 213/69. Factor -3/5*b**w - 9/5*b + 3*b**2 - 27/5.
-3*(b - 3)**2*(b + 1)/5
Let y(o) be the first derivative of -1/30*o**4 - 4/15*o**3 - 4/5*o**2 - 12*o + 2. Let n(b) be the first derivative of y(b). What is t in n(t) = 0?
-2
Let u = 82217 - 411077/5. Find a such that 0 + u*a**2 + 28/5*a = 0.
-7/2, 0
Let r(h) be the first derivative of 1936/5*h + 1/15*h**3 - 44/5*h**2 - 34. Solve r(m) = 0 for m.
44
Let z(o) be the first derivative of -o**5/50 + o**4/20 + 11*o**3/30 - 3*o**2/5 + 55*o + 64. Let h(p) be the first derivative of z(p). Let h(l) = 0. Calculate l.
-2, 1/2, 3
Determine q, given that -3320085/4*q - 9903609/4 - 3/4*q**3 - 6303/4*q**2 = 0.
-1049, -3
Let f(i) be the third derivative of i**7/450 - i**6/450 - i**4/8 - 13*i**3/6 + 50*i**2. Let r(b) be the second derivative of f(b). Factor r(a).
4*a*(7*a - 2)/5
Let y(i) be the first derivative of -2*i**5/15 + i**4 + 40*i**3/3 - 550*i**2/3 + 750*i + 903. Find o such that y(o) = 0.
-9, 5
Let b(a) be the second derivative of a**7/63 - a**6/3 + 37*a**5/15 - 55*a**4/9 - 25*a**3/3 + 125*a**2/3 - 168*a + 2. Factor b(y).
2*(y - 5)**3*(y - 1)*(y + 1)/3
Suppose -219/7*o - 3/7*o**3 - 114/7*o**2 - 108/7 = 0. What is o?
-36, -1
Suppose -13*m - w + 12 = -15*m, 3*m - 2*w = -19. Let f(g) = 102*g**2 + 100*g + 26. Let s(a) = 34*a**2 + 33*a + 9. Let u(c) = m*f(c) + 14*s(c). Factor u(z).
-2*(z + 1)*(17*z + 2)
Determine j so that 0*j + 0 + 4468/5*j**3 - 1344*j**4 - 744/5*j**2 + 36/5*j**5 = 0.
0, 1/3, 186
Let s(u) = -u + 2. Let k be s(0). Let h be (-1 - -1)/((-3)/(-4)*-4). Factor -2*i**k + h*i**2 + 64*i - 62*i.
-2*i*(i - 1)
Let j(h) be the second derivative of -h**7/840 + h**6/240 - h**5/240 + 69*h**2/2 - 13*h. Let m(y) be the first derivative of j(y). Find f, given that m(f) = 0.
0, 1
Let o(h) be the first derivative of 10/27*h**3 + 0*h - 78 - 1/18*h**4 + 0*h**2. Find m such that o(m) = 0.
0, 5
Let x = 53 + -53. Suppose -r = -5*m + 14, 3*m + 5*r = -x - 14. Suppose -23 + 10 - 10*d**3 + 10*d + 13 - 5*d**m + 5*d**4 = 0. What is d?
-1, 0, 1, 2
Let g(h) be the third derivative of -h**7/945 - h**6/540 + h**5/45 + h**4/27 - 8*h**3/27 + 15*h**2 + 21*h. Let g(b) = 0. Calculate b.
-2, 1, 2
Let f = 32 - 27. Factor f + 15*s - 19 + 2*s**2 + 6*s**2 - 76 - 3*s**2.
5*(s - 3)*(s + 6)
Let v be (-18)/10*-4 + 6/(-30). Factor 363 + 42*h - 9*h**2 + 19*h**2 + 24*h - v*h**2.
3*(h + 11)**2
Let j(s) = 7*s**4 - 65*s**3 - 145*s**2 - 76*s - 1. Let m = -730 + 729. Let p(w) = 2*w**4 - w - 1. Let k(b) = m*p(b) + j(b). Factor k(u).
5*u*(u - 15)*(u + 1)**2
Let y be (-4)/(-30) + 129/45. Let z = -320 - -324. Factor 2*p**y + 0*p + 5/4*p**z + 0 + 1/4*p**5 + p**2.
p**2*(p + 1)*(p + 2)**2/4
Factor -29/7*w**4 + 172/7*w**3 - 176/7 + 64*w - 416/7*w**2 + 1/7*w**5.
(w - 22)*(w - 2)**3*(w - 1)/7
Let d(f) be the second derivative of -12/7*f**4 + 8/35*f**5 + 0 + 36/7*f**3 - 54/7*f**2 + 174*f. Factor d(r).
4*(2*r - 3)**3/7
Let n(w) = 5*w**4 + 24*w**3 + w**2 - 26*w + 4. Let p(c) = -c**4 - 5*c**3 - c**2 + 2*c - 1. Let q(j) = -5*n(j) - 20*p(j). Factor q(h).
-5*h*(h - 2)*(h + 3)**2
Let f be (-5)/15*0 + (-9842)/342 + 29. Factor -f*k**2 - 8/9*k**3 + 0 + 2/3*k**4 + 4/9*k.
2*k*(k - 1)**2*(3*k + 2)/9
Suppose 2*z = -4*c - 20, -2*c = 2*z + z + 10. Factor 4 + z*g**3 + 4*g + 10*g**2 - 4*g**3 + 0*g**3 - 14*g**2.
-4*(g - 1)*(g + 1)**2
Determine u so that -9100/3 - 640*u - 1/3*u**3 - 37*u**2 = 0.
-91, -10
Let f(j) = -3 - 190*j + 4 + 192*j. Let y be f(1). Factor v**3 - 287 + 9*v**2 + 2*v**y + 275.
3*(v - 1)*(v + 2)**2
Let x be 2/4*(3 - 659)/2. Let b = x - -322. Let -5*l - b - l**2 + 158 = 0. Calculate l.
-5, 0
Let f(o) = -o**3 + 6*o**2 - 6*o + 1. Suppose -3*s = -13 + 1. Let u be f(s). Factor 8 - u - 3*c + 5 - c**2.
-(c - 1)*(c + 4)
Let m(d) = d**3 + d**2 + 57*d + 118. Let f be m(-2). Let u(h) be the third derivative of 18*h**2 + 1/2*h**4 + 0*h + f + 8/3*h**3 - 1/15*h**5. Factor u(y).
-4*(y - 4)*(y + 1)
Let x(s) be the third derivative of 0*s + 0*s**3 + 1/45*s**5 - 1/360*s**6 - 1/24*s**4 + 35*s**2 + 0. Find i such that x(i) = 0.
0, 1, 3
Suppose 10*z - 9*z - 9*z = 0. Factor a**5 + 9*a**3 - 93*a**4 + 0 + 87*a**4 + z.
a**3*(a - 3)**2
Let t(j) be the third derivative of -j**8/6720 + j**7/3780 + j**6/180 - j**5/45 + 9*j**4/8 + 9*j**2 - 3. Let y(i) be the second derivative of t(i). Factor y(o).
-(o - 2)*(o + 2)*(3*o - 2)/3
Let x be ((-90)/150)/(246/(-30) + 8). Let u = 109 + -73. Factor 4/9*a**x + u*a + 0 + 8*a**2.
4*a*(a + 9)**2/9
Let d(j) = -26*j**3 + 53*j**2 - 26*j. Let u(q) = -17*q**3 + 35*q**2 - 17*q. Let c = -489 - -484. Let k(n) = c*d(n) + 8*u(n). Determine p, given that k(p) = 0.
0, 1/2, 2
Let h(r) be the second derivative of -7*r**4/6 - 2*r**3/3 - 9*r - 1. Factor h(u).
-2*u*(7*u + 2)
Let w(j) be the third derivative of -17/210*j**7 + 1/40*j**6 - 1/336*j**8 + 0*j + 0*j**3 + 49/60*j**5 + 1 - 80*j**2 - 17/12*j**4. Let w(u) = 0. What is u?
-17, -2, 0, 1
Let k(b) = b**3 + 5*b**2 - 24*b + 2. Let x be k(3). Find d, given that 900*d**x + 496 + 46*d**4 + 0*d**3 + 348*d**3 + 3*d**5 - 1954 - d**5 + 162*d = 0.
-9, -3, 1
Let s = -11 - -16. Suppose -7*u + 10 = -s*u. Find t, given that -u*t**4 + 3*t**4 + 5*t**4 - 3*t**3 = 0.
0, 1
Let x(a) be the third derivative of -a**6/72 + 5*a**5/3 - 250*a**4/3 + 23*a**3/2 - 56*a**2. Let j(c) be the first derivative of x(c). Factor j(b).
-5*(b - 20)**2
Let j be (-3)/(-1) - -5*14/(-10) - -4. Let p(o) be the second derivative of -8*o - 4/27*o**3 + j + 0*o**2 - 2/27*o**6 - 1/27*o**4 + 8/45*o**5. Factor p(l).
-4*l*(l - 1)**2*(5*l + 2)/9
Let f(r) be the second derivative of r**7/840 - r**6/240 + r**5/240 + 16*r**2 + 98*r. Let x(n) be the first derivative of f(n). Factor x(o).
o**2*(o - 1)**2/4
Let m(i) be the third derivative of 0 + 0*i**3 - 2/15*i**5 - 38*i**2 - 2/105*i**7 - 1/10*i**6 + 0*i**4 + 0*i. Suppose m(k) = 0. What is k?
-2, -1, 0
Let f(k) be the first derivative of k**7/140 + 17*k**6/120 - k**5/5 + 135*k**2/2 - 155. Let y(l) be 