 given that 11*v**3 - 6*v**3 - v + 5*v**j - 4*v**3 + 4*v**5 - 4*v**3 - 5*v**4 = 0.
-1, 0, 1/4, 1
Let a(k) be the first derivative of -2*k**4/9 + 2*k**3 - 38*k**2/9 + 10*k/3 + 672. Find y such that a(y) = 0.
3/4, 1, 5
Let z = 1178/105 - 157/14. Let j(k) be the third derivative of z*k**5 + 3*k**2 + 0*k + 0 + 1/42*k**4 - 1/7*k**3. Determine t, given that j(t) = 0.
-3, 1
Let a be (38 - (-8)/(-1)) + -10. Suppose a*b + 117 = 157. Suppose 1/3 + 4/3*i**3 + b*i**2 + 1/3*i**4 + 4/3*i = 0. Calculate i.
-1
Let -442/3*q - 300/7*q**2 - 4/21*q**4 - 140 - 34/7*q**3 = 0. Calculate q.
-10, -7, -3/2
Let u be 35/(-14)*948/(-395). Let r(v) be the third derivative of -19*v**2 + 0*v + 0*v**3 + 0 + 1/30*v**5 - 1/105*v**7 - 1/12*v**4 + 1/60*v**u. Factor r(n).
-2*n*(n - 1)**2*(n + 1)
Suppose 21/11*n**4 - 1/11*n**5 - 118/11*n**3 + 200/11*n + 0 + 60/11*n**2 = 0. Calculate n.
-1, 0, 2, 10
Suppose 0 = 2350*b - 2457*b + 321. Let 0 - 1/12*t + 1/12*t**b + 0*t**2 = 0. What is t?
-1, 0, 1
Let j = -17 - -18. Let x(m) = -785*m**3 + 12*m + 7 + 782*m**3 + 3 - 1 - 3*m**2. Let r(a) = -1. Let g(n) = j*x(n) - 3*r(n). Factor g(i).
-3*(i - 2)*(i + 1)*(i + 2)
Factor 0*d**2 + 21*d + 588 + 4*d**2 - 6*d**2 - d**2 + 42*d.
-3*(d - 28)*(d + 7)
Let m = -1643 - -1643. Let f(t) be the first derivative of m*t**5 + 0*t**4 + 0*t + 1 + 0*t**3 + 0*t**2 - 1/6*t**6. Factor f(s).
-s**5
Let d = 2/162607 - -487817/325214. Determine o so that -3/2 + 1/2*o**3 + d*o**2 - 1/2*o = 0.
-3, -1, 1
Let w(l) be the first derivative of -25*l**4/4 - 15430*l**3/3 + 6178*l**2 - 2472*l + 8318. Solve w(f) = 0.
-618, 2/5
Let r = 1327 - 923. What is m in -79*m**5 + 225*m**4 - 57*m**4 + 80*m + 170*m**5 + 336*m**2 + r*m**3 - 71*m**5 = 0?
-5, -2, -1, -2/5, 0
Let u = -1928/7 + 276. Let b be -18 - ((-843)/21 - -22). What is r in -3/7 + u*r - b*r**2 = 0?
1, 3
Let q(x) be the third derivative of -x**11/332640 + x**10/37800 - x**9/20160 - x**5/6 + 36*x**2. Let a(m) be the third derivative of q(m). Factor a(s).
-s**3*(s - 3)*(s - 1)
Let u = -133741 - -534979/4. Factor 3*m + 3/4*m**3 - u*m**2 + 0.
3*m*(m - 4)*(m - 1)/4
Find v such that 0 + 2*v**5 + 9/2*v**4 - 141/2*v**3 - 41/2*v**2 + 105/2*v = 0.
-7, -1, 0, 3/4, 5
Let w = -284503/7 - -40645. Solve 69/7*m**2 + 6*m - 15/7 + w*m**3 = 0 for m.
-5, -1, 1/4
Let a = -293939/8 + 36743. Let 3/4 + a*g + 1/8*g**2 = 0. What is g?
-3, -2
Let c be 30 - ((-860)/(-50) - 0). Solve 52/5*p + 4/5*p**3 - 24 + c*p**2 = 0 for p.
-15, -2, 1
Let q(s) be the second derivative of s**5/35 - 46*s**4/7 - 842*s**3/21 - 564*s**2/7 - 241*s - 33. Suppose q(o) = 0. What is o?
-2, -1, 141
Factor -136*p + p**2 + 3*p**2 + 179359 - 178527.
4*(p - 26)*(p - 8)
Let q(s) = -2*s**2 + 377*s - 13393. Let n be q(141). Let -2/21*j**n + 8/21*j + 10/21 = 0. What is j?
-1, 5
Let q(d) be the first derivative of d**4/46 + 28*d**3/69 - 91*d**2/23 + 152*d/23 - 1367. Let q(y) = 0. Calculate y.
-19, 1, 4
Solve 0 - 1/3*m**2 + 140/3*m = 0.
0, 140
Let l be 29352/(-63) - (-12)/(-126) - -6. Let d = l + 1381/3. Factor 0*x**3 - 1/3*x - 2/3*x**4 + d*x**5 + 0 + 2/3*x**2.
x*(x - 1)**3*(x + 1)/3
Let c(n) be the third derivative of n**6/30 - 49*n**5/15 + 400*n**4/3 - 8704*n**3/3 - 104*n**2. Suppose c(u) = 0. What is u?
16, 17
Let g(u) be the second derivative of -155*u - 2*u**2 + 1/78*u**4 + 0 - 25/39*u**3. Suppose g(q) = 0. Calculate q.
-1, 26
Let t = -39 - -45. Let u(b) = -9*b + 58. Let d be u(t). Solve 1413*y**d - 2*y**2 - 1414*y**4 + 3*y**2 - y**3 + y**5 = 0.
-1, 0, 1
Suppose 3*f + 32 = 218. What is v in 77*v + 57*v - 3*v**2 + 12 - f - 104*v - 22 = 0?
4, 6
Suppose -2*h + 10*y - 8*y = -168, -3*h = -5*y - 254. Suppose h = 4*k - i, 3*k + 38 = -i + 95. Factor -k*q - 5/3*q**3 - 40/3 - 10*q**2.
-5*(q + 2)**3/3
Suppose 5*f + 5 = 20. Suppose z - 5 = -2*k, -z = 4*k + 5 + 2. Suppose -31*v - 4*v**f + 16*v + z*v + 2*v**3 = 0. What is v?
-1, 0, 1
Factor 0 + 272/3*a + 2852/9*a**2 - 14/9*a**3.
-2*a*(a - 204)*(7*a + 2)/9
Let v(l) be the third derivative of -5*l**8/504 - 8*l**7/315 + 49*l**6/180 - 4*l**5/45 - 11*l**4/9 + 16*l**3/9 - 539*l**2. Let v(t) = 0. Calculate t.
-4, -1, 2/5, 1, 2
Suppose 97*y - 207*y + 88*y + 110 = 0. Find m, given that -15/4*m**y + 0 + 3/2*m - 21/4*m**4 + 9/4*m**3 + 21/4*m**2 = 0.
-1, -2/5, 0, 1
Let b(r) be the first derivative of 4*r**3/21 + 32*r**2/7 + 16*r - 1030. Factor b(a).
4*(a + 2)*(a + 14)/7
Let j(v) = -3*v - 11*v + 2*v**2 - 10 + 12*v. Let x(b) = -2*b**2 + 12. Let w(h) = 4*j(h) + 6*x(h). Determine n so that w(n) = 0.
-4, 2
Suppose 3 = -2*c + 9. Suppose -6*r = -7*r + 3. Factor -5 + 3*q + 0 + 8*q**3 + c*q**2 - 11*q**r + 2.
-3*(q - 1)**2*(q + 1)
Suppose -750 = -12*c + 17*c. Let l be ((-4)/9)/(c/675). Factor 4/13 + 2/13*g**l - 6/13*g.
2*(g - 2)*(g - 1)/13
Let d = -638 + 1040. Let z be -7 + (-5 - d/(-33)). Factor 2/11*l**2 - z*l**3 - 8/11 + 8/11*l.
-2*(l - 2)*(l - 1)*(l + 2)/11
Suppose 510672*m**4 + 1180*m**2 - 2352*m - 510705*m**4 + 152*m**2 + 384 - 60*m**3 = 0. Calculate m.
-8, 2/11, 2, 4
Let o be (20/(-18))/((-103)/1236). Suppose -4/3*g**2 - 12 + o*g = 0. What is g?
1, 9
Let b(r) be the first derivative of -r**3/9 + 59*r**2/3 - 224*r + 1564. Determine x, given that b(x) = 0.
6, 112
Let q be (5 + 1)*25/(-10). Let w(u) = 9*u**2 + 21*u + 15. Let o(f) = -f**2 - 3*f - 2. Let z(h) = q*o(h) - 2*w(h). Determine s so that z(s) = 0.
0, 1
Let c(i) be the first derivative of 2*i**3/9 - 20*i**2/3 + 38*i/3 - 2454. Factor c(g).
2*(g - 19)*(g - 1)/3
Let p(l) be the second derivative of -3*l**5/10 + 443*l**4/4 + 786*l**3 + 2025*l**2/2 + 5530*l + 1. Factor p(r).
-3*(r - 225)*(r + 3)*(2*r + 1)
Let k(y) be the first derivative of -y**6/6 + y**4/4 + 675. Find m, given that k(m) = 0.
-1, 0, 1
Let y = 177 - 175. Factor 0*a**2 + 8*a - 12*a - 48 + 4*a**y.
4*(a - 4)*(a + 3)
Let x(h) be the first derivative of -h**4/20 - 4*h**3/15 + 14*h**2/5 - 32*h/5 + 1699. Let x(a) = 0. Calculate a.
-8, 2
Factor -316/3 - 54*l + 52*l**2 + 2/3*l**3.
2*(l - 2)*(l + 1)*(l + 79)/3
Let q(u) be the first derivative of 0*u + 88 + 5/18*u**3 - 5/2*u**2. Find w, given that q(w) = 0.
0, 6
Let g(d) = 569*d**3 + 323*d**2 - 222*d + 26. Let u(r) = 2846*r**3 + 1616*r**2 - 1110*r + 131. Let k(x) = 11*g(x) - 2*u(x). Factor k(q).
3*(q + 1)*(7*q - 2)*(27*q - 4)
Factor 115/2*m**2 - 5/2*m**3 + 285/2 - 395/2*m.
-5*(m - 19)*(m - 3)*(m - 1)/2
Let v be -4*3/186 + 4187034/331359. Find z, given that v*z**2 - 176/7*z - 4/7*z**3 + 96/7 - 4/7*z**4 = 0.
-6, 1, 2
Let y = -1035769/5 + 207154. Find d, given that 4/5 - 4/5*d + y*d**2 = 0.
2
Factor -27/2*o**4 + 3/4*o**5 - 15*o**2 + 0 + 0*o - 117/4*o**3.
3*o**2*(o - 20)*(o + 1)**2/4
Suppose 24 = 7*t - 3*t. Let w be (-3)/4 - -57*(-2)/(-24). Solve -4*g**4 + 7*g**3 + g**4 - 9*g**3 + t*g - w*g**3 + 3*g**2 = 0 for g.
-2, -1, 0, 1
Let l be (14*1/(-12))/(3/6) + (-168)/(-56). Factor l*i - 2/9 + 2/9*i**3 - 2/3*i**2.
2*(i - 1)**3/9
Let y(g) = 2*g**3 + 5*g**2 + 13*g + 10. Let x(a) = 42*a**3 - 10*a**2 - 26*a + 32 - 51 - 45*a**3. Let t(l) = 3*x(l) + 5*y(l). Let t(s) = 0. Calculate s.
-1, 7
Suppose -x + 10*x - 27 = 0. Suppose b + 4 = 5*o - 9, -x*o + 11 = b. Factor 15*p**2 - 12*p + 0*p**4 - 27*p**2 + 3*p**4 + o*p**3.
3*p*(p - 2)*(p + 1)*(p + 2)
Let m(a) be the third derivative of -a**7/210 + a**6/24 - 7*a**5/60 + a**4/8 + 537*a**2 - a. Let m(p) = 0. Calculate p.
0, 1, 3
Let r be (-28 + 9 + 22)*(-14)/(-189). Determine b, given that 28/9 - r*b**2 + 10/9*b = 0.
-2, 7
Let l(u) be the third derivative of u**6/1440 + u**5/60 - 116*u**3/3 - 143*u**2 + 1. Let n(s) be the first derivative of l(s). Factor n(p).
p*(p + 8)/4
Let o(q) be the first derivative of 192*q + 171 - 112*q**2 - 1/3*q**4 + 100/9*q**3. Let o(i) = 0. What is i?
1, 12
Find i such that -395/11*i**3 + 36*i - 610/11*i**2 + 648/11 - 38/11*i**4 - 1/11*i**5 = 0.
-18, -2, -1, 1
Let y(i) be the second derivative of i**4/16 + 1567*i**3/8 - 588*i**2 + 7292*i. Determine g, given that y(g) = 0.
-1568, 1
Let n = -39 + 30. Let l be (n - -6)/(-2 - -1). Let 17*y - 5 - 4*y - l*y - 5*y**2 = 0. Calculate y.
1
Let l(o) be the first derivative of -2*o**3 + 11/2*o**2 - 16/3*o + 1/12*o**4 + 154. Let l(w) = 0. What is w?
1, 16
Suppose 0 = -n - 0*v + 2*v - 15, 5*n = v - 30. Let c be (-18)/n - (-8)/20. Solve 10*w**2 + 14*w**3 - 9*w**3 - 7*w**c - 3*w**4 - 5*w**5 = 0.
-2, -1, 0, 1
Let z = 874 - 868. Solve h**4 + 108*h**2 - 9 + 168 - z*h**3 + 