et -3/7 + 12*q - 81/7*q**s = 0. What is q?
1/27, 1
Let j = 1/147255 + 16361/98170. Find t, given that j*t**2 - 7/6*t + 5/3 = 0.
2, 5
Let x(c) be the first derivative of -42 - 7/6*c**2 - 1/18*c**3 + 5/2*c. Factor x(k).
-(k - 1)*(k + 15)/6
Suppose 3*j - 5*a + 7 = -7, 6*j - 4*a = -4. Suppose -2*p - j*u = -354, -3*u - 24 = -p + 141. Factor 24 + 147/2*o**3 + 336*o**2 + p*o.
3*(o + 4)*(7*o + 2)**2/2
Suppose -5*y - 15 = 5*d, d + 2*y = -5 - 2. Let q be -12*d*((-20)/8)/5. Solve q + 3*w**2 - 2*w - 9*w + 2*w = 0 for w.
1, 2
Let p be 180/144 - 37/8*-134. Let k = -3701/6 + p. Let 2*a**5 + 13/6*a**3 - 1/6*a - k*a**4 + 0 + 1/6*a**2 = 0. Calculate a.
-1/4, 0, 1/3, 1
Let d be (-16)/(-72) + (-133)/(-9). Suppose 0 = 5*a + 7*u - 8*u - d, 9 = 3*a - 2*u. Solve 6*y**3 + 5*y**3 - 5*y**2 - 6*y**a = 0 for y.
0, 1
Suppose -7 = 200*j - 607. Let i be 2/(1/4*22). Factor 0*r + 0*r**j + 2/11*r**4 - i*r**2 + 2/11.
2*(r - 1)**2*(r + 1)**2/11
Let g = 23 + -25. Let p be 2*3/2 - g. Find l such that p*l**2 - 4*l - l - l**2 - 3*l = 0.
0, 2
Suppose 2025 = 1006*b + 122 - 109. Determine g so that -98 - 1/2*g**b - 14*g = 0.
-14
Let a be (64/(-56))/(6/(-21)) - 0. Factor -3*c**4 + 3*c**2 - 6*c**2 + 3*c**3 + 2*c**a + c**3.
-c**2*(c - 3)*(c - 1)
Let l(y) = -2*y**2 - 6*y - 8. Let a be 3*7/((-84)/(-8)). Let u(z) = z - 2*z - 10*z - 4*z**a - 17. Let d(v) = 5*l(v) - 2*u(v). Factor d(i).
-2*(i + 1)*(i + 3)
Let -17/4*b**3 + 0 + 27*b - 6*b**2 + 1/4*b**4 = 0. Calculate b.
-3, 0, 2, 18
Let o = -979 + 977. Let n(y) = -144*y - 288. Let g be n(o). Factor 2/3*r**2 - 4/3*r + g + 1/3*r**3 - 1/6*r**4.
-r*(r - 2)**2*(r + 2)/6
Let v(i) = 12*i**4 + 8*i**3 + 496*i**2 + 400*i. Let z(k) = -2*k**4 - k**3 - 71*k**2 - 57*k. Let w(j) = -3*v(j) - 20*z(j). Factor w(p).
4*p*(p - 5)*(p + 1)*(p + 3)
Let c(s) = -s**2 + 6*s - 4. Let u be c(6). Let z = -4 - u. Factor 2*b**2 - 6 + z*b**2 + 3*b + b**2 + 3*b**2 - 3*b**3.
-3*(b - 2)*(b - 1)*(b + 1)
Suppose 7*p - 350 = -1393. Let t = -149 - p. Factor 4/3*h**2 - 2/3 - 2/3*h**4 + 0*h**3 + t*h.
-2*(h - 1)**2*(h + 1)**2/3
Let t(y) be the first derivative of 19*y + 25 - 1/3*y**4 - 1/5*y**5 + 0*y**2 + 0*y**3. Let o(h) be the first derivative of t(h). Find x, given that o(x) = 0.
-1, 0
Let l(h) be the third derivative of -1 + 0*h + 14*h**2 + 5/8*h**4 + 1/42*h**7 + 13/12*h**5 - 15*h**3 - 7/24*h**6. Determine s, given that l(s) = 0.
-1, 2, 3
Suppose -244 = 56*v - 117*v. Suppose -8/9 + 4/3*j - 4/3*j**3 + 148/9*j**2 - 140/9*j**v = 0. Calculate j.
-1, -2/7, 1/5, 1
Suppose l + 4*s = 3*l - 68, -2*s = 2*l - 92. Solve l*r**3 - 72 + 980*r + 301 + 143 + 308 + 450*r**2 + 13*r**3 - 5*r**4 = 0.
-2, 17
Suppose 96*b - 508 = 57*b - 88*b. Let m(z) be the third derivative of 1/15*z**6 + 0*z - 1/5*z**5 + 0*z**3 + 47*z**2 + 0 + 1/6*z**b. Suppose m(x) = 0. What is x?
0, 1/2, 1
Let o be ((-140)/25 - -6) + 16/10. What is f in -2 + 38 + 56*f**3 + 4*f**5 - 17*f**4 - 9*f**4 - 60*f - 2*f**4 - 8*f**o = 0?
-1, 1, 3
Determine i, given that -2/9*i**4 + 268/9*i**2 + 2/9*i**3 + 112 + 424/3*i = 0.
-6, -1, 14
Suppose 5*m - 3*x = -57, 0 = -16*x + 297 + 7. Factor 1/5*g**2 + 3/5*g + m.
g*(g + 3)/5
Let t(l) be the third derivative of -4/5*l**5 + 0*l**3 + 13/6*l**4 + 0 + 0*l - 59*l**2 - 1/30*l**6. Determine v, given that t(v) = 0.
-13, 0, 1
Suppose -6*v + 19 = 1. Let w be (v - 36/8)/(3/(-4)). Determine k, given that -10*k**w + 19*k + 12 - 2*k**2 - 23*k + 4*k**3 = 0.
-1, 1, 3
Let t = -535 - -642. Suppose -17*p - 221*p - 336 - t*p**3 + 111*p**3 - 68*p**2 - 82*p = 0. Calculate p.
-2, 21
Let t(z) = -908*z - 2724. Let x be t(-3). Let i(h) be the second derivative of -1/18*h**4 - 1/6*h**5 + 0 + 0*h**2 - 4/45*h**6 + 26*h + x*h**3. Factor i(j).
-2*j**2*(j + 1)*(4*j + 1)/3
Let k = 4255 - 89353/21. Let b(u) be the second derivative of 10/3*u**3 + 2/3*u**4 - 10*u + 0 - k*u**7 + 4*u**2 - 4/5*u**5 - 8/15*u**6. Factor b(h).
-4*(h - 1)*(h + 1)**3*(h + 2)
Let k(s) be the third derivative of s + 0 + 8/3*s**3 - 47/72*s**4 - 1/180*s**5 - 92*s**2. Solve k(h) = 0.
-48, 1
Let z(q) = -q**3 - 2*q**2 + 2*q + 3. Let p be 10/20 + 2/(-4). Let r be z(p). Find v such that -6*v**r - 4*v**3 + 9*v**3 - 8*v**2 - v**3 = 0.
-4, 0
Let l(y) be the second derivative of -y**5/15 - 40*y**4/3 - 3200*y**3/3 + 15*y**2 - 14*y + 7. Let j(v) be the first derivative of l(v). Factor j(a).
-4*(a + 40)**2
Let m be 3 + -6 + (-6)/2*-2. Let o(n) be the third derivative of 0 + 0*n + n**2 + 1/5*n**5 + 1/8*n**m + 1/4*n**4. Factor o(y).
3*(4*y + 1)**2/4
Let g be (-4)/8*0 + -1. Let y(q) = -50*q**4 + 112*q**3 - 72*q**2 + 12*q + 4. Let l(c) = c - c**4 + 27 - c**3 - 27 - 1. Let p(s) = g*y(s) - 4*l(s). Factor p(v).
2*v*(3*v - 2)**3
Let d(h) be the first derivative of -h**6/4 + 189*h**5/10 - 1773*h**4/4 + 1633*h**3 + 176157*h**2/4 + 328509*h/2 + 4965. Factor d(a).
-3*(a - 23)**3*(a + 3)**2/2
Let t(k) be the first derivative of -8*k**3/3 - 206*k**2 + 208*k + 396. Solve t(m) = 0.
-52, 1/2
Factor 2/3*c**2 - 38/3*c + 12.
2*(c - 18)*(c - 1)/3
Let b(j) be the second derivative of -199*j**5/4 + 985*j**4/12 + 5*j**3/3 + 1127*j. Factor b(o).
-5*o*(o - 1)*(199*o + 2)
Let t be ((-3)/2)/(3/(-4)). Factor -41*q - 39*q + 36 + 114*q**2 + 206*q**t - 31.
5*(8*q - 1)**2
Let v be (-4 + (-91)/(-21))*9/6*0. Let h(q) be the first derivative of -11 - 1/15*q**2 + v*q + 16/45*q**3. Factor h(s).
2*s*(8*s - 1)/15
Let v = -1572446 + 3145015/2. Factor -v*t**2 - 10*t**3 - 1/2*t**4 - 88 - 140*t.
-(t + 1)*(t + 4)**2*(t + 11)/2
Let g(x) be the third derivative of 5/8*x**4 + 0*x - x**3 + 0 - 9*x**2 + 3/20*x**5. Factor g(z).
3*(z + 2)*(3*z - 1)
Let k be 32/24 - 46/(-6). Let p be (3 - 4)/((-3)/k). Factor 13*l**3 + 13*l**p - 2*l**2 - 25*l**3.
l**2*(l - 2)
Let w be ((-9)/20)/(37/(-148)). Factor -1/5*s**3 - w - 3/5*s + s**2.
-(s - 3)**2*(s + 1)/5
Suppose -168/5*c - 2/5*c**2 - 3528/5 = 0. Calculate c.
-42
Let p(w) be the second derivative of w**8/4200 - w**7/700 + w**6/300 - w**5/300 + 26*w**3/3 - w + 8. Let h(j) be the second derivative of p(j). Factor h(o).
2*o*(o - 1)**3/5
Let q(g) be the third derivative of g**5/15 + 41*g**4/6 + 80*g**3/3 + 922*g**2. Solve q(z) = 0.
-40, -1
Let t be (12/(-15))/(52/(-390)). Let j be (-84)/(-39) + -8 + t. Let 0 - 2/13*y + j*y**2 - 2/13*y**4 + 2/13*y**3 = 0. Calculate y.
-1, 0, 1
Let z(l) = -2*l**2 + 42*l - 32. Let x be z(20). Find h such that 24*h - x + 1 + 4*h**2 - 11 + 54 = 0.
-3
Suppose 54*q - 5834 = 4318. Suppose 184*m + 8 = q*m. Factor 0*l + 1/2*l**m + 1/2*l**4 + 0 + l**3.
l**2*(l + 1)**2/2
Let d(b) be the third derivative of -b**6/24 + 13*b**5/6 - 755*b**4/24 + 105*b**3 + 213*b**2. Solve d(n) = 0 for n.
1, 7, 18
Let u(s) = 24*s**2 - 16*s - 4. Let t(l) be the second derivative of l**4/12 - l**3/6 + l**2/2 - l - 3. Let b(f) = 20*t(f) - u(f). Factor b(q).
-4*(q - 2)*(q + 3)
Factor -11430*s**2 - 272*s + 22863*s**2 - 270 - 11435*s**2.
-2*(s + 1)*(s + 135)
Let f(d) be the second derivative of d**4/54 - 866*d**3/27 + 2255*d. Determine b, given that f(b) = 0.
0, 866
Let d(a) = 13*a**2 + 177*a - 2085. Let s(p) = -5*p**2 - 87*p + 1042. Let l(k) = 4*d(k) + 10*s(k). Find i, given that l(i) = 0.
16, 65
Let t(q) be the first derivative of 1/8*q - 1/16*q**2 - 1/24*q**3 + 1/32*q**4 + 104. Find o, given that t(o) = 0.
-1, 1
Let g be 4/((-278400)/4365) + (-6)/(-87). Let j(p) be the third derivative of -4*p**2 + 1/40*p**5 + g*p**6 + p + 0*p**3 + 0 - 3/32*p**4. What is u in j(u) = 0?
-3, 0, 1
Let y be 45/8 + -6 - (2800/128)/(-35). Factor 0 - 1/2*v + 1/2*v**3 + y*v**2 - 1/4*v**4.
-v*(v - 2)*(v - 1)*(v + 1)/4
Factor -3/2*y**2 - 141267/2 - 651*y.
-3*(y + 217)**2/2
Let o(z) be the first derivative of -2/3*z**3 + 5*z**2 + 0*z - 117. Suppose o(f) = 0. Calculate f.
0, 5
Factor 106/3*c + 209/2 + 1/6*c**2.
(c + 3)*(c + 209)/6
Let w(f) be the first derivative of f**8/1200 - 13*f**7/840 + f**6/100 - 2*f**3/3 - 123*f**2/2 - 148. Let n(l) be the third derivative of w(l). Factor n(x).
x**2*(x - 9)*(7*x - 2)/5
Let c(p) be the second derivative of -p**6/1200 - p**5/300 - p**4/240 - 14*p**2 + 22*p. Let k(m) be the first derivative of c(m). Let k(t) = 0. Calculate t.
-1, 0
Let r(g) = g**2 + 26*g + 2. Let j be r(-27). Factor 29 - 12*v**2 - v**5 - 4*v**4 - j + 16*v**2 + v**3.
-v**2*(v - 1)*(v + 1)*(v + 4)
Suppose 11 = 3*a + 3*d + 2*d, -4*d + 10 = 3*a. Suppose -2*l**a + 175*l - 109*l - 96*l = 0. What is l?
-15, 0
Suppose 1