e 1/6*i**2 - x*i - 1/3 = 0.
-1, 2
Let a(v) be the third derivative of -2*v**7/315 + 7*v**6/45 + 143*v**5/45 - 338*v**4/3 + 1544*v**2. Suppose a(z) = 0. What is z?
-12, 0, 13
Suppose 0 = 18*h - 12*h - 192. Suppose -5*l = -153 - h. Solve -l*k**3 - 3*k**5 + 7*k**4 + 31*k**3 + 2*k**4 = 0.
0, 1, 2
Let u(t) be the second derivative of t**4/96 - 47*t**3/48 - 357*t**2/4 + 1250*t. What is s in u(s) = 0?
-21, 68
Suppose 404 - 665 = -9*c. Suppose -4*p - r = -c, -3*r + 17 - 2 = 0. Factor -21*w - 75/4*w**3 + p + 6*w**4 + 57/2*w**2 - 3/4*w**5.
-3*(w - 2)**3*(w - 1)**2/4
Let c(l) = l**4 - l**2 - l + 1. Let i(z) = 11*z**4 - 4*z**3 - 9*z**2 - 5*z + 7. Let s be 1102/(-57) + (-8)/(-6). Let g(w) = s*c(w) + 2*i(w). Factor g(y).
4*(y - 1)**3*(y + 1)
Let d(x) be the first derivative of 0*x**3 + 0*x**4 + 1/12*x**6 - 45 + 1/5*x**5 + 0*x + 0*x**2. Factor d(o).
o**4*(o + 2)/2
Let a(q) be the first derivative of -q**4/72 - q**3/6 + 7*q**2/12 + 29*q + 100. Let f(o) be the first derivative of a(o). Find g, given that f(g) = 0.
-7, 1
Let z be (24/(-70))/(10/(-8025)). Let n = z - 275. Factor -2/7*i - 1/7*i**2 - n.
-(i + 1)**2/7
Let t be 36 - 792/18 - (-204)/21. Suppose -48/7*p**3 + 16/7 + 40/7*p**4 + 36/7*p + t*p**5 - 8*p**2 = 0. Calculate p.
-4, -1, -1/3, 1
Let u = -166046 + 498139/3. Factor 1/3*b**3 + 0 - 2/3*b - u*b**2.
b*(b - 2)*(b + 1)/3
Suppose 2*s = -5*v - 35, -s - 2*v + 42 = 56. Let r(g) be the second derivative of -12*g + s - 5/6*g**3 + 1/4*g**5 + 0*g**2 + 0*g**4. Factor r(l).
5*l*(l - 1)*(l + 1)
Let r(g) be the third derivative of -2*g**7/175 + g**6/30 + 76*g**5/75 + 2*g**4/3 - 32*g**3/5 - 2634*g**2. Let r(l) = 0. Calculate l.
-4, -1, 2/3, 6
Let o = -4675 + 4679. Let f(i) be the third derivative of 0 + 15*i**2 - 3/10*i**o + 0*i + 2/5*i**3 + 3/200*i**6 - 1/100*i**5. Suppose f(b) = 0. Calculate b.
-2, 1/3, 2
Let r(p) be the third derivative of 0*p + 1/80*p**5 + 5/32*p**4 - 3/4*p**3 + 0 + 111*p**2. Let r(d) = 0. Calculate d.
-6, 1
Let c be 12/(-21)*(-1060)/(-16). Let z = 38 + c. Suppose -1/7*h**2 + 2/7*h - z = 0. What is h?
1
Determine g, given that -501*g**2 + 600 - 80*g + 176*g**3 + 5*g**4 - 905*g + 29*g**3 + 676*g**2 = 0.
-40, -3, 1
Find w such that -156*w - 457*w + 166*w - 189*w - 856*w**2 - 12 - 7571*w**2 = 0.
-2/53
Let f(m) = m**2 - 7*m - 18. Let h be f(9). Let y be (1 - h) + -5 + 6. What is x in -7*x**3 - 3*x + y*x**3 + 2*x + 6*x**3 = 0?
-1, 0, 1
Let y(f) be the third derivative of -2/15*f**6 + 1/2*f**4 - 88*f**2 + 0*f + 0 - 8/105*f**7 + 1/84*f**8 - 12*f**3 + 22/15*f**5. Determine p so that y(p) = 0.
-2, -1, 1, 3
Let v(k) be the first derivative of k**3/2 + 2847*k**2/2 + 5691*k/2 - 1656. Suppose v(q) = 0. What is q?
-1897, -1
Let o(b) = -b**3 - 4*b**2 + 12. Let k be o(-3). Let a be ((-30)/8)/(6/(-96)). Factor 745*g**k - 600*g**2 + 1255*g**3 + 1 - 3 + a*g.
2*(10*g - 1)**3
Let d = -344 - -349. Suppose 2*q - 4*g - 8 = 0, 1 = -d*g - 4. Suppose -2/11*z**q + 0*z + 0 = 0. Calculate z.
0
Let c(p) = 30*p**3 + 469*p**2 + 249*p - 185. Let t(z) = 33*z**3 + 471*z**2 + 246*z - 186. Let j(a) = 6*c(a) - 5*t(a). Factor j(d).
3*(d + 1)*(d + 30)*(5*d - 2)
Let a(y) be the second derivative of -2/5*y**6 - 25 + 0*y**3 + 0*y**2 + 0*y**4 + 1/5*y**5 + 2*y. Factor a(b).
-4*b**3*(3*b - 1)
Let o(w) be the first derivative of -w**5/15 + 59*w**4/12 - 280*w**3/3 - 150*w**2 + 604. Find m, given that o(m) = 0.
-1, 0, 30
Factor 460 + 96*r + 5*r**2 + 388 - 4*r**2 + 3*r**2 - 528*r.
4*(r - 106)*(r - 2)
Let f(a) be the first derivative of -2*a**3/33 - 4472*a**2/11 - 9999392*a/11 - 1025. Factor f(m).
-2*(m + 2236)**2/11
Factor 32*p + 6*p**5 - 50*p**2 - 4*p**5 - 8 - 5911*p**4 + 38*p**3 + 5897*p**4.
2*(p - 2)**2*(p - 1)**3
Let c(s) = -s**3 + 104*s**2 - 1117*s - 6004. Let i be c(91). Factor -145*l**i - 568/3*l - 188/3 - 3*l**3.
-(l + 47)*(3*l + 2)**2/3
Let k(l) be the first derivative of -8*l + 1/5*l**5 + 22/3*l**2 + 74/9*l**3 + 29/12*l**4 + 123. Determine u so that k(u) = 0.
-6, -2, 1/3
Let i(y) be the second derivative of -y**5/30 + y**4/3 - y**3 + 115*y**2/2 - 6*y + 9. Let f(a) be the first derivative of i(a). Let f(t) = 0. What is t?
1, 3
Factor -1323*t + 42*t**2 - 1/3*t**3 + 0.
-t*(t - 63)**2/3
Let d = -366/403 - -871101/2015. Let j = d + -431. What is h in 6/5 - j*h**2 + 4/5*h = 0?
-1, 3
Let u(i) = -i**3 - 4*i**2 + 4*i - 5. Let l be u(-5). Suppose l = 12*z - 7*z - 20. Find r, given that z - 6 - 2 + 3*r**2 - 2*r**3 - 11*r**2 - 10*r = 0.
-2, -1
Let t be -6 + 5 - ((-6)/6 + -294). Let c be t/36 + -8 + 1/30. Determine y, given that c*y**2 + 7/5*y + 0 = 0.
-7, 0
Let x be (-21)/15 - -1 - 528/(-20). Factor -31*i**2 + 10*i + x*i**2 - 16*i - 34*i.
-5*i*(i + 8)
Suppose 5*m - 27 + 12 = 0. Let 2*w - 2*w**2 + 3 + 6*w**3 - 4*w**2 + 3*w**4 + 0*w - 5*w - m*w**5 = 0. What is w?
-1, 1
Let i be (-11 - -15)*(-9 - -18 - (-34)/(-4)). Factor -18/5*k**i - 64/5*k - 184/15 - 2/15*k**3.
-2*(k + 2)**2*(k + 23)/15
Let k = 333 + -330. Let q(m) = -m**3 + 3*m**2 + 16*m + 18. Let s(i) = -i**2 + 1. Let b(j) = k*q(j) + 6*s(j). Suppose b(t) = 0. What is t?
-2, 5
Let b(g) be the second derivative of -1/10*g**5 + 0 - 1/3*g**4 + 86*g + 0*g**2 + 0*g**3. Factor b(a).
-2*a**2*(a + 2)
Let k(z) = 2*z**3 - 38*z**2 - 258*z + 434. Let b be k(24). Determine o so that -1/5*o + 1/5*o**3 + 12/5 - 12/5*o**b = 0.
-1, 1, 12
Let w = 51 - 48. Suppose -2*s + w*s + 10 = 3*q, -5*q = s - 14. Let 22*h - 114 - 9*h + 23*h - q*h**2 + 6 = 0. Calculate h.
6
Let j(o) be the first derivative of -o**4/16 + 303*o**3/4 - 25878*o**2 + 51529*o - 1293. Find g, given that j(g) = 0.
1, 454
Factor -420*y - 3/2*y**3 - 123/2*y**2 - 792.
-3*(y + 4)**2*(y + 33)/2
Let x(y) be the first derivative of -y**7/210 + y**6/50 - y**5/50 - 47*y + 61. Let t(u) be the first derivative of x(u). Factor t(o).
-o**3*(o - 2)*(o - 1)/5
Let b(f) be the first derivative of -4/7*f + 2/21*f**3 + 1/7*f**2 - 18. Factor b(a).
2*(a - 1)*(a + 2)/7
Let g = 3150 + 23334. Let n = -17207 + g. Factor n*r - r**2 - 3*r**3 - 9277*r + 3*r**5 + r**4.
r**2*(r - 1)*(r + 1)*(3*r + 1)
Let l(j) = 2*j + 42. Let m be l(7). Determine f, given that -16*f**2 - m - 12*f + 68*f + 20*f - 4*f**3 = 0.
-7, 1, 2
Let i be ((-40)/(-12))/(-5)*63. Let k be (-1)/(i/259) - (0 + 6). What is c in 5/6*c**2 - 4/3*c - k*c**3 + 2/3 = 0?
1, 2
Let p(m) be the first derivative of m**4 - 520*m**3/3 + 10584*m**2 - 256608*m + 7777. Determine s so that p(s) = 0.
22, 54
Let z(q) be the first derivative of -2*q**3/45 + 127*q**2/15 - 84*q/5 - 8330. Factor z(w).
-2*(w - 126)*(w - 1)/15
Suppose 0 = -15*l + 20*l. Suppose u - 12 + 9 = l. Find r such that r**u - 12*r - 7 + r**3 + 3 + 6*r = 0.
-1, 2
Let b(p) = 8*p**2 + 1602*p + 321600. Let x(a) = -19*a**2 - 3203*a - 643199. Let v(u) = -5*b(u) - 2*x(u). Factor v(z).
-2*(z + 401)**2
Suppose -472 = -25*o + 78. Suppose 12*i = o + 14. Suppose 8*k - 76/7*k**2 + 50/7*k**i + 2/7*k**5 - 16/7*k**4 - 16/7 = 0. What is k?
1, 2
Let o(r) be the third derivative of r**2 + 6050/3*r**3 + 1/15*r**5 + 55/3*r**4 + 36 + 0*r. Factor o(h).
4*(h + 55)**2
Let a(l) be the first derivative of l**4/10 + 376*l**3/15 + 1729*l**2 - 7220*l - 11772. Find d, given that a(d) = 0.
-95, 2
Let v = -8 + -100. Let w = v - -147. Let 3*p**3 + 6*p + w*p**2 - 6*p - 40*p**2 = 0. Calculate p.
0, 1/3
Let g(s) = -20*s**2 - 1. Let r(q) = q**2 - 10*q + 6. Let m be r(9). Let i(c) = 4*c**2 + 5*c - c**2 - 5*c. Let l(t) = m*g(t) - 21*i(t). Factor l(n).
-3*(n - 1)*(n + 1)
Let g(t) = -3*t**3 - 329*t**2 - 211*t + 763. Let s be g(-109). Let -39/5*n + s - 3/5*n**2 = 0. What is n?
-13, 0
Let s(q) = 2*q**2 - 29*q - 244. Let k be s(-6). Let h(v) be the first derivative of 2 + 1/10*v**4 + 0*v + 0*v**3 + 0*v**k. Let h(r) = 0. What is r?
0
Let y(q) be the first derivative of 7*q**4 - 32*q**3/3 - 10*q**2 + 24*q - 566. Suppose y(k) = 0. What is k?
-6/7, 1
Let k = -9648/5 - -1932. Let d(b) be the first derivative of -36/5*b + k*b**2 + 23 - 1/5*b**3. What is s in d(s) = 0?
2, 6
Let t(j) be the first derivative of 2*j**5/35 - j**4/14 - 38*j**3/7 + 113*j**2/7 - 16*j + 847. Factor t(i).
2*(i - 7)*(i - 1)**2*(i + 8)/7
Let o be (((-308)/(-105))/(-22))/((-10)/400). Factor 12*b**3 + 0 + 8*b**2 - o*b + 10/3*b**4.
2*b*(b + 2)**2*(5*b - 2)/3
Determine q, given that 12*q**3 - 416*q + 13*q**3 - 41*q**3 + 12*q**3 - 320 - 100*q**2 = 0.
-20, -4, -1
Let s(w) = -17*w**4 + 190*w**3 - 504