o). Determine h so that c(h) = 0.
0, 5
Let w = 1891/70 - -361/14. Let b = w + -273/10. Let -63/2*q**3 - 3*q + 33/2*q**2 - 15/2*q**5 + 0 + b*q**4 = 0. What is q?
0, 2/5, 1
Let g = 771851/431900 - 81/2468. Let q = g + -26/25. Determine l, given that -1/7*l**2 + q*l + 0 = 0.
0, 5
Let x(n) = -777*n + 25643. Let u be x(33). Let 0*p**3 + 1/3*p**5 + 2/3*p**u - 1/3*p + 0 - 2/3*p**4 = 0. What is p?
-1, 0, 1
Suppose -4*m + 5 = -5*g - 174, 4*m - 4*g = 184. Suppose 0 = m*l - 106*l + 49*l. Suppose l + 20/9*a**3 + 4/9*a**2 + 25/9*a**4 + 0*a = 0. Calculate a.
-2/5, 0
Let p(s) be the second derivative of -s**7/630 + 7*s**6/135 + 31*s**5/90 + 8*s**4/9 + 6*s**3 + 43*s - 2. Let i(t) be the second derivative of p(t). Factor i(k).
-4*(k - 16)*(k + 1)**2/3
Suppose -4*t + 28 = -2*s + 6*s, 0 = 5*s - 20. Factor -44 + 12*v**t - 3*v**4 + 44 + 3*v**2 - 12*v.
-3*v*(v - 4)*(v - 1)*(v + 1)
Let r(g) = 16*g**4 - 720*g**3 + 6107*g**2 + 6853*g + 2. Let h(j) = -78*j**4 + 3600*j**3 - 30536*j**2 - 34269*j - 11. Let t(c) = -2*h(c) - 11*r(c). Factor t(p).
-5*p*(p + 1)*(2*p - 37)**2
Factor 1007381*v**2 - 944*v - 1768*v - 394469*v**2 + 3.
3*(452*v - 1)**2
Let h = -72 - -75. Suppose -4*u + 5 = -h*u. Find n, given that -12*n**3 + u*n**2 - 35 + 5*n + 0*n**2 + 7*n**3 + 30 = 0.
-1, 1
Let y(b) be the first derivative of b**7/2520 - b**5/360 - 44*b**3/3 + 2*b**2 - 48. Let j(p) be the third derivative of y(p). Let j(q) = 0. Calculate q.
-1, 0, 1
Let f be (0 + 60/(-294))/(1206/(-84) - -14). Factor 12/7*u + f*u**2 + 0.
4*u*(u + 3)/7
Let w be 2/9 - 212/(-18). Let m be (-8)/(w/6 - (4 - 0)). Suppose 0 - 4/3*y + 14/3*y**m - 14/3*y**2 + 4/3*y**3 = 0. What is y?
-1, -2/7, 0, 1
Let -111/4*q**3 + 203/2*q**2 + 9/4*q**4 - 101*q + 30 = 0. What is q?
2/3, 5, 6
Let a(d) be the second derivative of d**5/5 + 149*d**4/12 + 877*d**3/6 + 105*d**2 - 162*d - 4. Let a(c) = 0. What is c?
-30, -7, -1/4
Let y = -6825959/360 + 18961. Let g(h) be the third derivative of -1/48*h**4 - 1/18*h**3 + 8*h**2 - y*h**5 + 0*h + 0. Suppose g(s) = 0. What is s?
-2, -1
Let k = -13 - -6. Let u be 38/(-19)*k/2. Factor -2*d**2 + 12 - 11 + u.
-2*(d - 2)*(d + 2)
Let r(b) be the first derivative of 4/9*b**3 + 2/3*b + 1/12*b**4 + 5/6*b**2 - 243. Solve r(k) = 0.
-2, -1
Suppose 3030 + 1775 = 1666*s + 1473. Factor -1/4*u**s + 3/2 + 5/4*u.
-(u - 6)*(u + 1)/4
Let j(m) be the first derivative of m**3/3 - 700*m**2 + 490000*m + 1388. Factor j(u).
(u - 700)**2
Suppose 2*i = 21 + 557. Let m = -286 + i. Factor -3/2*f**2 - 1/2*f**m - 3/2*f - 1/2.
-(f + 1)**3/2
Let i(c) = c**2 - 37*c - 38. Let r(d) = -d**2 + 76*d + 77. Let l = -739 + 735. Let a(m) = l*r(m) - 7*i(m). Factor a(o).
-3*(o + 1)*(o + 14)
Let s(p) be the first derivative of -p**5/420 + 13*p**4/56 - 29*p**2 - 2*p + 38. Let t(v) be the second derivative of s(v). Factor t(o).
-o*(o - 39)/7
Let p(f) be the third derivative of -f**6/780 + 3*f**5/65 + f**4/156 - 6*f**3/13 - 2*f**2 - 69*f. Let p(d) = 0. Calculate d.
-1, 1, 18
Factor -15 - 5*h**2 - 31*h + 11*h**3 - 4*h**3 - 13*h**2 - 8*h**3 + h**2.
-(h + 1)**2*(h + 15)
Let b(x) be the third derivative of -67*x - 11/144*x**4 - 13/1260*x**7 + x**2 - 5/36*x**3 + 0 - 1/672*x**8 + 1/20*x**5 + 7/360*x**6. Let b(d) = 0. Calculate d.
-5, -1, -1/3, 1
Factor -90 - 114*v - 126/5*v**2 - 6/5*v**3.
-6*(v + 1)*(v + 5)*(v + 15)/5
Let b(z) be the second derivative of z**4/36 + 10*z**3/9 - 26*z**2 - 4*z + 998. Let b(q) = 0. Calculate q.
-26, 6
Let f = 137971/3 - 45990. Factor 4/3*r - 4 + f*r**2.
(r - 2)*(r + 6)/3
Let p be (1/(-1))/((-1)/(-8)). Let g(r) = -r**2 - 9*r - 3. Let y be g(p). What is a in 25*a**4 - 44*a**2 + y*a**5 - a**2 + 0*a**5 + 15*a**3 = 0?
-3, 0, 1
Let g(x) be the first derivative of 1/10*x**4 + 31 - 2/5*x + 2/15*x**3 - 1/5*x**2. Let g(f) = 0. What is f?
-1, 1
Let q be 2/(8*(-3)/(-60)). Let p be 24/10 - ((-33)/q + 6). Find g, given that -3*g**3 + p*g - 9/2*g**2 + 9/2*g**4 + 0 = 0.
-1, 0, 2/3, 1
Let y be (-5 + 492/60)/((-2)/(-5)). Factor -3*u**2 - 1018*u - 11607 + 178*u + y*u**2 + 46887.
5*(u - 84)**2
Let -16*l - 64/3 - 4*l**2 - 1/3*l**3 = 0. Calculate l.
-4
Let h(b) = -3*b**2 + 86*b - 38. Let j be h(28). Let w be 218/j + (-36 - -25). Suppose -8/9*c + 2/9*c**4 + w - 4/3*c**2 + 8/9*c**3 = 0. Calculate c.
-5, -1, 1
Suppose m + 1 = 0, -4*m = -3*y - 1 + 11. Factor -39 - 45 + 6*p + 7*p**y + 84 + p**3.
p*(p + 1)*(p + 6)
Determine k, given that 393/5*k - 324/5 - 3/5*k**3 - 66/5*k**2 = 0.
-27, 1, 4
Suppose -3*h + 109 + 11 = 0. Factor h*t - 15634*t**2 + 15542*t**2 + 62*t**3 - 28*t**4 - 222*t**3.
-4*t*(t + 1)*(t + 5)*(7*t - 2)
Let t(i) be the second derivative of i**5/10 - 2*i**4/9 - i**3 + 10*i**2/3 - 401*i. Find w, given that t(w) = 0.
-5/3, 1, 2
Let j(m) be the second derivative of 0 + 44*m + 81/4*m**2 + 2/5*m**5 + 23/12*m**4 - 12*m**3 + 1/60*m**6. Factor j(q).
(q - 1)**2*(q + 9)**2/2
Let u(t) be the first derivative of -t**5/5 + t**4/2 - t**3/3 - 1196. Factor u(k).
-k**2*(k - 1)**2
Solve 2075/2*s**3 + 455*s**2 + 595/2 - 1505/2*s**4 + 25/4*s**5 - 4175/4*s = 0.
-1, 2/5, 1, 119
What is k in 2134*k**3 + 837*k**3 + 5*k**5 + 2890*k - 1006*k**3 + 185*k**4 + 4675*k**2 = 0?
-17, -2, -1, 0
Suppose -16 = 6*w - 28. Factor 7*f - 5*f**5 - 2*f**4 - 314*f**w - 2*f + 304*f**2 + 12*f**4.
-5*f*(f - 1)**3*(f + 1)
Let c be 1 + (-1 + -1 - -6). Suppose -z + 1 = j + 3, 2*j = c*z + 10. Factor j*l**3 + 6/13*l**2 + 4/13*l + 0 - 2/13*l**4.
-2*l*(l - 2)*(l + 1)**2/13
Let k = 60 + 18. Suppose 3*q + 69 = k. Factor 7*z**2 + 5*z - q*z**2 + z**2.
5*z*(z + 1)
Let v(d) = 79*d**2 - 2*d + 22. Let o(g) = -2. Let w be 3 + -3 + 10 + 12. Let h(i) = w*o(i) + 2*v(i). Factor h(x).
2*x*(79*x - 2)
Let k(s) be the first derivative of -8/15*s**5 + 0*s**2 + 1/27*s**6 + 0*s + 0*s**3 + 103 + 11/18*s**4. Determine d so that k(d) = 0.
0, 1, 11
Let l be -1 + 1 - -6*328/8. Let -l*f**2 - 31*f - 13*f + 250*f**2 = 0. Calculate f.
0, 11
Let -9*b**2 + 5*b**2 + 106*b - 111 - 3*b**2 - b**3 + 351 - 2*b**2 = 0. What is b?
-15, -2, 8
Let z(u) be the third derivative of 11*u**2 - 3*u - 9/5*u**5 - 1/30*u**6 + 0*u**3 + 0 + 29/3*u**4. Suppose z(i) = 0. Calculate i.
-29, 0, 2
Factor -85/2 + 6*p + 1/2*p**2.
(p - 5)*(p + 17)/2
Let r(c) be the first derivative of -c**4/4 - 13*c**3/3 + 10*c**2 + 84*c + 2718. Let r(a) = 0. Calculate a.
-14, -2, 3
Suppose -2092/7*f**3 - 876/7*f + 648/7 - 3656/7*f**2 + 40/7*f**4 = 0. What is f?
-1, 3/10, 54
Let k = -127 + 129. Let 2*g**5 - 48*g - 18*g**4 + 52*g**3 + 8*g**2 - 23*g**2 + 67 - 3 - 25*g**k = 0. Calculate g.
-1, 2, 4
Let k = 2839 - 2836. Let h(y) be the third derivative of 1/12*y**4 + 0*y - 1/240*y**6 + 2*y**2 - 1/120*y**5 + 0 + 1/3*y**k. Factor h(r).
-(r - 2)*(r + 1)*(r + 2)/2
Let a(q) = q**2 + 24*q + 2. Let g be a(-24). Solve 1545 - m**3 - 772 - 3*m - 774 - m**2 - 2*m**g = 0.
-1
Let 4965*a - 2*a**4 + 10*a**3 - 2480*a - 2509*a + 16*a**2 = 0. What is a?
-2, 0, 1, 6
Let p = -17 - -19. Let t be 8/(1 + -5) + 4. Factor q**2 + q**2 - 2*q**4 + 0*q**t + 4*q - p*q - 2*q**3.
-2*q*(q - 1)*(q + 1)**2
Let j(q) be the first derivative of 0*q**3 + 3/14*q**4 + 180/7*q - 93/7*q**2 + 171. Factor j(o).
6*(o - 5)*(o - 1)*(o + 6)/7
Let q(k) be the first derivative of 12*k**4/5 - 152*k**3/5 + 15*k**2/2 + 1125*k - 1830. Determine d so that q(d) = 0.
-3, 25/4
Let o(n) be the first derivative of -n**7/112 + 11*n**6/144 - n**5/4 + 5*n**4/12 + 200*n**3/3 - 301. Let k(z) be the third derivative of o(z). Factor k(q).
-5*(q - 2)*(q - 1)*(3*q - 2)/2
Let u(t) be the first derivative of -5*t**3/6 - 393*t**2/4 + 79*t + 823. Factor u(n).
-(n + 79)*(5*n - 2)/2
Factor -64 + 24 - 3*y**2 + 433 + 309 - 164*y - 181*y.
-3*(y - 2)*(y + 117)
Let -11264 + 10*n**4 + 7424*n - 4686*n**2 - n**5 + 3166*n**2 + 56*n**3 + 3*n**4 = 0. What is n?
-11, 4, 8
Let i(f) be the second derivative of f**8/560 - f**6/60 + f**4/8 - f**3/3 - 10*f**2 - 14*f + 4. Let u(z) be the second derivative of i(z). Factor u(p).
3*(p - 1)**2*(p + 1)**2
Suppose -812*w = -820*w - 504. Let p be (-3)/(-27)*w/(-14). Factor -p*m**3 + 2*m + 2 - 1/2*m**2.
-(m - 2)*(m + 1)*(m + 2)/2
Let x be (-45)/6 + 1 - -7. Let n(p) be the second derivative of 0*p**3 - 1/10*p**6 + 17*p + 0*p**2 - 3/20*p**5 + x*p**4 + 0. Let n(k) = 0. What is k?
-2, 0, 1
Suppose 17*b = 25 - 42. Let x be (-2)/b*(19 - 3936/208). Find l such that 0 - 6/13*l - x*l**2 = 0.
-3, 0
Let t(z) be the first derivati