*(g + 3)*(g + 52)
Let z = 562 - 559. Suppose 0 = z*w + c - 6, -7*c + 6*c = -2*w + 4. Find i, given that 4 + 227*i**w + 875/2*i**3 + 294*i**4 + 50*i = 0.
-2/3, -2/7, -1/4
Let g(y) be the second derivative of y**5/45 + 10*y**4/27 + 14*y**3/27 - 4*y**2 + 48*y - 10. Factor g(p).
4*(p - 1)*(p + 2)*(p + 9)/9
Let h be 27898/40 - 15/60. Let i = 698 - h. Solve 1/5*q**3 + i + q**2 + 8/5*q = 0.
-2, -1
Determine m, given that -3/5*m**5 + 24/5 + 12/5*m - 6*m**2 + 12/5*m**4 - 3/5*m**3 = 0.
-1, 2
Factor 564*v**3 + 1326*v**2 - 1383099*v - 2*v**4 + 3282*v**2 + 1392379*v.
-2*v*(v - 290)*(v + 4)**2
Let s(z) be the second derivative of -z**4/90 + 8518*z**3/45 - 18139081*z**2/15 - 9774*z. Let s(t) = 0. What is t?
4259
Let t = -1470622/1145 - 965/229. Let w = 1289 + t. Suppose -2*b - 8/5*b**2 + 12/5*b**3 - w*b**5 + 0 + 8/5*b**4 = 0. What is b?
-1, 0, 1, 5
Suppose p = -2*t - 3*p + 32, 4*t - 5*p - 64 = 0. Let m be 4/16 + 3 + 524/t. Factor -5*b**5 + 18*b**4 + 16*b**2 + 8*b**5 + m*b**3 + 14*b**2 + 9*b.
3*b*(b + 1)**3*(b + 3)
Let j(x) be the second derivative of -x**5/90 - 7*x**4/9 + 29*x**3/9 + 110*x**2 + 85*x. Let l(h) be the first derivative of j(h). Find o such that l(o) = 0.
-29, 1
Suppose 53*u = 51*u + 4. Factor -21 - 453*r - 10*r**u + 471*r + 13*r**2.
3*(r - 1)*(r + 7)
Let l(r) = -6773*r - 20316. Let t be l(-3). Suppose 0*c**t + 0 - 6/11*c**5 - 12/11*c**4 + 12/11*c**2 + 6/11*c = 0. What is c?
-1, 0, 1
Let k(m) be the third derivative of -m**7/210 - m**6/10 - 13*m**5/30 + m**4/2 + 9*m**3/2 + 909*m**2. What is p in k(p) = 0?
-9, -3, -1, 1
Let n be 2/10 - (-38)/10. Let d = -859 + 864. Factor -3*u**4 + 667*u**3 + 8*u**4 - 2*u**2 + n*u**d - 674*u**3.
u**2*(u - 1)*(u + 2)*(4*u + 1)
Let g(r) be the first derivative of r**4/2 + 49*r**3/24 + 3*r**2/16 + 455. Determine p, given that g(p) = 0.
-3, -1/16, 0
Let j(p) be the second derivative of -1/2*p**4 + 24 + 1/14*p**7 - 2*p - 7/2*p**3 - 9/2*p**2 + 1/2*p**6 + 9/10*p**5. Find l, given that j(l) = 0.
-3, -1, 1
Let b(i) = -75*i**2 + 1058*i - 109. Let f be b(14). Let v = 29/10 + -7/5. Factor f*d + 3/2*d**2 + v.
3*(d + 1)**2/2
Suppose 4/3*v**4 + 0*v + 0 + 76/9*v**3 - 56/9*v**2 = 0. What is v?
-7, 0, 2/3
Let n be (10/(-5))/(-2)*2. What is o in 187*o + 4*o**n - 4 - 187*o = 0?
-1, 1
Let q be 1/((-9)/(-39)) - 116/87. Suppose 3*p = -i - 9, -4*p - 13 = q*i - 1. Suppose 0*v + 4/3*v**4 + 0*v**2 + 1/3*v**3 + i = 0. What is v?
-1/4, 0
Let d(x) be the second derivative of 2/21*x**3 - 78*x + 0 + 1/42*x**4 + 1/7*x**2. Factor d(h).
2*(h + 1)**2/7
Let f be 78/42 + -3 - -8. Let t = f - 6. Factor -3/7*h**3 - t*h + 9/7*h**2 + 0.
-3*h*(h - 2)*(h - 1)/7
Let d be (-8)/(-96)*4*3/2. Let q(x) be the second derivative of -d*x**3 - 9/8*x**2 + 0 + 17*x - 1/12*x**4. Factor q(k).
-(2*k + 3)**2/4
Let d(q) = -q**2 - 5*q. Let v be d(-3). Suppose -1 = b + z, -4*b - 5*z - 29 = -21. Factor 106*c**5 - v*c**b - 103*c**5 + 6*c**2 + c**3 - 4*c**3.
3*c**2*(c - 1)**2*(c + 2)
Let o = -16 - -22. Let w be (o/(-4))/((-2)/4). Suppose -2*s**w + 12*s**3 - 6*s**3 - 6*s**4 + 2*s**5 = 0. Calculate s.
0, 1, 2
Let y(f) be the second derivative of -f**7/8 + 11*f**6/10 + 237*f**5/80 - 20*f**4 + 21*f**3/2 + 3363*f. Let y(r) = 0. What is r?
-3, 0, 2/7, 2, 7
Let o = 136 - 127. Suppose 16*z - 13*z = o. Factor -1 - 20*p**z + 1 + 4*p**4 + 32*p**2 - 16*p.
4*p*(p - 2)**2*(p - 1)
Let w be (-16)/(-4)*(-2 + 1). Let q(b) = b**3 + 4*b**2 - 2*b + 4. Let d be q(w). Determine g, given that 195 - d*g - 195 + 4*g**2 = 0.
0, 3
Let x be (15/3 - 9)*2/(-8)*3. Let q(a) be the third derivative of 0*a + 0*a**x - 1/12*a**5 + 0 + 11*a**2 - 5/24*a**4. Factor q(g).
-5*g*(g + 1)
Let c(q) be the second derivative of -2*q**7/21 + 8*q**6/3 - 54*q**5/5 + 52*q**4/3 - 34*q**3/3 + q - 1195. Find u, given that c(u) = 0.
0, 1, 17
Let v be ((5 - 3) + -17)*(-1 - 4). Factor 51*q + v - 37*q - 84*q + 15*q**2.
5*(q - 3)*(3*q - 5)
Let a = -266 + 262. Let q(f) = -9*f**3 - f**2 + f + 1. Let s(p) = 16*p**3 + p**2 - 2*p - 1. Let k(l) = a*s(l) - 7*q(l). Factor k(y).
-(y - 3)*(y - 1)*(y + 1)
Let l be -3*10/6 + (-11)/(880/(-405)). Let f(d) be the second derivative of 0 - 9*d + l*d**4 + 0*d**2 + 1/20*d**5 - 1/24*d**3. Factor f(q).
q*(q + 1)*(4*q - 1)/4
Let t(n) be the third derivative of n**7/14 - 65*n**6/24 - 91*n**5/12 - 115*n**4/24 + 75*n**2 + 2*n. Factor t(h).
5*h*(h - 23)*(h + 1)*(3*h + 1)
Let r(x) be the third derivative of -7/24*x**6 - 11*x**2 + 0*x**4 + 5/336*x**8 + x + 0 + 0*x**3 + 0*x**7 - 1/2*x**5. Factor r(b).
5*b**2*(b - 3)*(b + 1)*(b + 2)
Let l(r) be the third derivative of -r**7/420 - r**6/96 + 23*r**5/240 - 5*r**4/48 + 3083*r**2. Let l(m) = 0. Calculate m.
-5, 0, 1/2, 2
Let b be (-42)/(-38) + (-36)/342. Suppose -s + 2*p + b = -0, -s + 4*p = 1. Factor 33*g**3 - 4*g**4 - 32*g**2 + 10*g + 21*g - 15*g - 13*g**s.
-4*g*(g - 2)**2*(g - 1)
Suppose 118*s**2 - 2*s - 98*s - 28*s**2 - 270*s**5 + 65*s**3 - 70*s**4 + 19 - 59 + 285*s**5 = 0. What is s?
-1, -1/3, 2
Let c(d) = d**4 + 55*d**3 + 142*d**2 - 160*d - 802. Let v(g) = g**4 + 165*g**3 + 422*g**2 - 480*g - 2407. Let f(w) = -7*c(w) + 2*v(w). Solve f(x) = 0.
-5, -4, 2
Let g(a) be the first derivative of -a**4/12 - 13*a**3/3 - 169*a**2/2 + 6*a + 63. Let f(t) be the first derivative of g(t). Factor f(b).
-(b + 13)**2
Let j(g) = 6*g**3 - 61*g**2 - 212*g + 5. Let c(y) = -11*y**3 + 123*y**2 + 423*y - 9. Let x(a) = -5*c(a) - 9*j(a). Suppose x(i) = 0. What is i?
-3, 0, 69
Let k(n) be the third derivative of -n**9/20160 + n**8/6720 - 5*n**5/3 + 37*n**2 + 2. Let o(x) be the third derivative of k(x). Factor o(u).
-3*u**2*(u - 1)
Suppose 0 = -o - 5*q + 80, -433*o = -409*o - 2*q + 32. Determine k so that -45*k - 5/4*k**2 + o = 0.
-36, 0
Let h(z) = -18*z - 11*z - 3 + 14*z**2 + 59*z - 19*z. Let q(y) = -15*y**2 - 12*y + 3. Let a(s) = -3*h(s) - 2*q(s). Suppose a(g) = 0. What is g?
-1, 1/4
Let d = 25 - 17. Suppose 0 = 2*y + d*y - 80. Find i such that 4*i**4 + 12 - 17*i**2 - y*i + i**2 + 10*i**3 - 2*i**3 = 0.
-3, -1, 1
Solve -43 + 259/6*d**2 + 257/6*d - 257/6*d**3 - 1/6*d**4 = 0.
-258, -1, 1
Let v(x) = 3*x**4 - 20*x**3 + 92*x**2 - 172*x + 99. Let k(o) = -13*o**4 + 81*o**3 - 368*o**2 + 687*o - 396. Let g(z) = 2*k(z) + 9*v(z). Factor g(r).
(r - 11)*(r - 3)**2*(r - 1)
Let r = -752 + 756. Suppose -15*s - 4*s**2 - 14*s - 19*s + 56*s - r = 0. Calculate s.
1
Let j(i) be the second derivative of -i**5/80 + 23*i**4/48 + 19*i**3/6 + 13*i**2/2 - 1951*i. Factor j(p).
-(p - 26)*(p + 1)*(p + 2)/4
Let l(y) be the second derivative of y**5/20 - 29*y**4/12 - 253*y**3/6 + 8993*y**2/2 + 1679*y. Factor l(r).
(r - 23)**2*(r + 17)
Let q(u) be the second derivative of -u**5/70 + 13*u**4/21 - 169*u**3/21 - u + 188. Let q(w) = 0. What is w?
0, 13
Let i(p) be the second derivative of -p**9/3024 + p**8/420 + p**7/280 - p**6/20 + 61*p**3/6 - 17*p + 1. Let s(u) be the second derivative of i(u). Factor s(g).
-g**2*(g - 3)**2*(g + 2)
Let v(h) be the first derivative of -2*h**3/21 + 584*h**2/7 - 1166*h/7 - 5668. Find u such that v(u) = 0.
1, 583
Factor 44310*z**3 + 44310*z**3 - 5302*z + 274*z**2 + 27830 - 88622*z**3.
-2*(z - 115)*(z - 11)**2
Let o(d) = -d. Let t(w) = 5*w - 7. Let p(g) = -6*o(g) - t(g). Let c be p(-3). Solve 17*i**2 + 2*i - 21*i**2 - c*i - 6*i = 0 for i.
-2, 0
Let i(v) be the second derivative of -v**8/112 - v**7/35 + v**5/10 + v**4/8 + 19*v**2/2 + 14*v. Let z(q) be the first derivative of i(q). Factor z(k).
-3*k*(k - 1)*(k + 1)**3
Let i be (-180)/(-21) - 4/7. Determine z so that 3*z**4 - 12*z - 7*z**3 + 34*z**2 - 10*z**2 - i*z**3 = 0.
0, 1, 2
Let y = -859/11 - -1817/22. Factor -3 - 3/2*h**3 + 0*h**2 + y*h.
-3*(h - 1)**2*(h + 2)/2
Let c(a) be the first derivative of a**4/14 - 46*a**3/21 + 60*a**2/7 + 3678. Factor c(f).
2*f*(f - 20)*(f - 3)/7
Let h(r) = -10*r**2 - 256*r + 8195. Let l(n) = 24*n**2 + 512*n - 16391. Let v be ((-2)/(-6))/((-12)/(-126))*-2. Let a(w) = v*h(w) - 3*l(w). Factor a(t).
-2*(t - 64)**2
Let v(i) be the third derivative of i**6/30 - 11*i**5/15 + 16*i**4/3 - 56*i**3/3 - 1499*i**2. Let v(b) = 0. What is b?
2, 7
Suppose 0 = 11*q - 6*q - 10. What is x in 0*x**2 - q*x**4 + 3*x**2 + 1 + x**5 - 8*x**3 + 7*x + 3 - 5*x**2 = 0?
-1, 1, 4
Let x(g) be the first derivative of g**4/32 + 133*g**3/6 + 4488*g**2 + 34848*g + 497. Let x(k) = 0. What is k?
-264, -4
Let r(p) be the second derivative of p**4/15 -