*w*(w - 2)**3/5
Find b such that 0*b - 1/3*b**5 + 0 + 0*b**2 + 0*b**3 + 9*b**4 = 0.
0, 27
Let a(y) be the third derivative of -22*y**2 - 1/60*y**6 + 0*y**3 + 1/3*y**5 + 11/12*y**4 + 0*y + 0. Determine v, given that a(v) = 0.
-1, 0, 11
Let 0*z + 1/2*z**4 - 37/2*z**3 + 0 + 18*z**2 = 0. What is z?
0, 1, 36
Let t(h) = 8*h + 71. Let u be t(-7). Factor 5*m - 35*m**2 - u*m**2 + 669*m**3 - 674*m**3 + 50.
-5*(m - 1)*(m + 1)*(m + 10)
Let m(s) be the first derivative of s**6/10 + 11*s**5/25 + s**4/10 - 14*s**3/15 - s**2/2 + 3*s/5 + 1544. Suppose m(u) = 0. What is u?
-3, -1, 1/3, 1
Let k = 1055615/7 - 150801. Determine v so that 0 - 8/7*v - 32/7*v**2 + 2/7*v**3 + k*v**4 = 0.
-2, -1/4, 0, 2
Solve -12*q**4 + 6 + 1124*q**2 - 1082*q**2 - 127*q - 3*q**5 + 178*q + 12 = 0.
-3, -1, 2
Suppose -48*f**2 + 981/7*f + 0 - 978/7*f**3 - 3/7*f**5 + 48*f**4 = 0. Calculate f.
-1, 0, 1, 3, 109
Suppose 430*v - 59*v = 1113. Factor -2/3*h**v - 8/3*h + 0 + 8/3*h**2.
-2*h*(h - 2)**2/3
Let h(w) be the first derivative of 24 - 1/4*w - 2/3*w**3 - w**4 + 7/8*w**2. Determine i, given that h(i) = 0.
-1, 1/4
Let z(n) be the third derivative of n**5/30 + 55*n**4/12 + 52*n**3 - 598*n**2. Factor z(b).
2*(b + 3)*(b + 52)
Let s = 174496/5 - 697939/20. Determine r so that 9/4*r - 3/8*r**4 - s*r**3 + 3 - 21/8*r**2 = 0.
-4, -2, -1, 1
Suppose 9*v + 2*v - 44 = 0. What is n in -3*n**3 - 12*n**2 - v*n**4 - 17*n**3 + 4*n**3 = 0?
-3, -1, 0
Let c = 338 - 432. Let a be (2 - c)*(5 - 36/9). Let -16/3 - a*i**2 + 27*i**3 - 140/3*i = 0. Calculate i.
-2/9, 4
Let j = 235830 + -2122463/9. Let -32/3*t - 6*t**2 - j*t**3 + 32/9 = 0. What is t?
-4, 2/7
Factor 232/13*o - 2/13*o**3 - 230/13*o**2 + 0.
-2*o*(o - 1)*(o + 116)/13
Let o(p) = 24*p + 2. Let l(a) = -a**2 - 109*a - 7. Let f(j) = 2*l(j) + 9*o(j). Determine c so that f(c) = 0.
-2, 1
Let d(w) be the second derivative of -26/3*w**3 + 6*w + 0*w**4 + 1/5*w**5 - 1 - 24*w**2. Suppose d(b) = 0. What is b?
-3, -1, 4
Let d(b) be the third derivative of -41/168*b**6 - 3*b**2 - 4/7*b**3 + 0 - 12*b - 55/294*b**7 + 13/42*b**4 + 73/210*b**5. Determine q so that d(q) = 0.
-1, -6/11, 2/5
Let f(c) = 2*c**3 + 14*c**2 + 6*c + 18. Let h be f(-6). Suppose 4*s**2 + h*s - 42*s - 9*s**3 + s**4 - 7*s**4 - s**5 = 0. What is s?
-3, -2, 0, 1
Suppose 12*f - 15*f - d = -3112, f = -3*d + 1024. Let g = f + -4155/4. Let -g*s**4 + 1/4*s**2 + 3/4*s**3 + 0 - 3/4*s = 0. Calculate s.
-1, 0, 1, 3
Let d = -135 + 137. Let u = 500 + -497. Suppose -17/5*k**d + 16/5*k - 4/5 + k**u = 0. What is k?
2/5, 1, 2
Let q(t) be the third derivative of t**6/600 - 68*t**5/75 + 4413*t**2. Factor q(k).
k**2*(k - 272)/5
Let h be 3 + 5/((-20)/(-196))*1. Suppose 0 = -h*m + 28 + 128. Factor 168/5*d**2 - 128/5*d**4 + 32*d**m + 46/5*d + 4/5.
-2*(d - 2)*(4*d + 1)**3/5
Let r(f) be the third derivative of 274*f**2 - 1/50*f**6 + 0*f + 1/350*f**7 - 3/10*f**3 + 1/10*f**4 + 1/50*f**5 + 0. Factor r(j).
3*(j - 3)*(j - 1)**2*(j + 1)/5
Factor 8/7*t**3 + 0*t + 4/7*t**4 + 0 + 0*t**2.
4*t**3*(t + 2)/7
Let d(j) be the second derivative of j**4/3 - 140*j**3/3 + 1098*j**2 + 616*j. Determine u so that d(u) = 0.
9, 61
Let v = -2564/415 + 1044/83. Let 8/5 + 14/5*y**2 + v*y = 0. What is y?
-2, -2/7
Let v(x) be the second derivative of -7*x**4/12 - x**3/3 + x**2 - 29*x - 2. Let g(f) = 22*f**2 + 7*f - 7. Let a(d) = 2*g(d) + 7*v(d). Let a(q) = 0. Calculate q.
0
Let q(z) be the first derivative of -2*z**6/3 + 28*z**5 - 203*z**4 - 7484*z**3/3 - 3120*z**2 + 14400*z - 1089. Find f, given that q(f) = 0.
-3, 1, 20
Let l(z) be the third derivative of 0*z + 0 + 1/12*z**4 + 61*z**2 - 1/150*z**5 + 0*z**3 + 1/525*z**7 - 1/60*z**6. Factor l(h).
2*h*(h - 5)*(h - 1)*(h + 1)/5
Let x(d) be the second derivative of d**7/21 + 8*d**6/15 + 23*d**5/10 + 14*d**4/3 + 4*d**3 + 418*d. Determine o so that x(o) = 0.
-3, -2, -1, 0
Find k such that 9821*k**4 + 2*k**2 - 4*k**2 - 9822*k**4 - 7*k**2 + 12 - 6*k**3 + k + 3*k = 0.
-3, -2, 1
Let i = -72 - -120. What is p in -i*p**2 - 78*p**4 - 6 - 45*p**3 + 21*p**5 + 147*p**3 + 7 - 3*p + 5 = 0?
-2/7, 1
Let b(z) be the second derivative of 1/10*z**4 + 1/10*z**3 - 1/50*z**6 - 39*z + 1/70*z**7 - 3/10*z**2 + 0 - 3/50*z**5. Suppose b(t) = 0. What is t?
-1, 1
Let y = -46393 + 46393. Let y + 1/6*f**4 - 3/2*f**2 + 3/2*f - 1/6*f**3 = 0. Calculate f.
-3, 0, 1, 3
Let i(b) be the first derivative of b**7/84 + 16*b**6/15 + 128*b**5/5 + 267*b - 290. Let k(q) be the first derivative of i(q). Suppose k(a) = 0. Calculate a.
-32, 0
Let r(z) be the third derivative of 0*z**3 + 0*z**6 - 36*z**2 + 0*z**4 + 0 - 1/84*z**7 + 0*z + 1/24*z**5. Suppose r(j) = 0. What is j?
-1, 0, 1
Let k(s) be the first derivative of -8/5*s + 3/5*s**2 - 81 + 2/15*s**3. Solve k(c) = 0 for c.
-4, 1
Let o(n) be the first derivative of 3*n**5/80 + 7*n**4/16 + 15*n**3/8 + 27*n**2/8 - 148*n + 62. Let b(p) be the first derivative of o(p). Factor b(a).
3*(a + 1)*(a + 3)**2/4
Let t = -1/80929 + 80931/161858. Find d, given that -22*d**3 - 242*d**2 + 0 + 0*d - t*d**4 = 0.
-22, 0
Let v(h) = -8*h**2 + 316*h - 318. Let k(c) = -11*c**2 + 313*c - 317. Let t(m) = -2*k(m) + 3*v(m). What is f in t(f) = 0?
1, 160
Factor 1936/9*o**2 + 316/9*o**4 - 1294/9*o + 36 + 2/9*o**5 - 428/3*o**3.
2*(o - 1)**4*(o + 162)/9
Suppose 0 = -4*b - 63 + 103. Suppose b*r - 48 = -8. Factor -65/2*a**r + 4*a**2 - 28*a + 25/4*a**5 + 46*a**3 - 8.
(a - 2)**3*(5*a + 2)**2/4
Let o(p) = -p**4 - 2124 + 2124. Suppose -16 = -j - 15. Let s(f) = -6*f**4 + 2*f**2 - 1. Let a(u) = j*s(u) - 5*o(u). What is h in a(h) = 0?
-1, 1
Let q(x) be the second derivative of -x**4/30 + 68*x**3/15 + 213*x**2/5 + 132*x + 3. Factor q(k).
-2*(k - 71)*(k + 3)/5
Let o(p) be the second derivative of 0 - 15/2*p**4 - 15/14*p**7 - 52*p - 5*p**2 - p**5 + 65/6*p**3 + 10/3*p**6. Find r, given that o(r) = 0.
-1, 2/9, 1
Factor -21*n**3 - 68*n**2 + 45*n**3 + 12*n**3 - 126*n + n**4 + 2*n**4 - 25*n**2.
3*n*(n - 3)*(n + 1)*(n + 14)
Let l = -20090 - -1024592/51. Let g(f) be the second derivative of -1/102*f**4 + 0 - 1/17*f**2 - 27*f - l*f**3. Determine z, given that g(z) = 0.
-1
Let u be (118 - 72/9)*(-244)/(-2). Determine c so that 3*c**2 - 584*c + 7896 + c**2 + u = 0.
73
Let m(j) be the third derivative of -1/330*j**5 - 2/33*j**4 + 3/11*j**3 + 0 + 0*j - 60*j**2. Solve m(n) = 0.
-9, 1
Suppose 119*h - 39*h = 20*h - 219*h. Factor 2/5*b**2 + h*b + 2/5*b**3 + 0.
2*b**2*(b + 1)/5
Let 33*m - m**2 + 39*m - 3*m**2 - 89*m - 680 - 139*m = 0. Calculate m.
-34, -5
Let i(q) = 172*q + 1741. Let l be i(-10). Let 147 + 3/4*w**2 + l*w = 0. What is w?
-14
Let n(l) be the third derivative of -65/12*l**4 + 40/3*l**3 - 5*l**2 + 1 + 1/3*l**6 + 1/4*l**5 + 0*l - 1/42*l**7. Suppose n(w) = 0. What is w?
-2, 1, 8
Let v(s) be the third derivative of s**5/20 + 117*s**4/2 + 467*s**3/2 - 3588*s**2. Determine z so that v(z) = 0.
-467, -1
Let x(w) be the first derivative of w**6/18 + 4*w**5/3 + 29*w**4/3 + 142*w**3/9 - 39*w**2/2 - 54*w - 3223. Determine v, given that x(v) = 0.
-9, -2, -1, 1
Let h(c) be the first derivative of c**4/6 + 35*c**3/9 + 7*c**2/3 - 17*c + 566. Determine n, given that h(n) = 0.
-17, -3/2, 1
Let f be (-2)/(-2)*11 + (-16155)/1795. Suppose -4/5 - 21/10*c**f + 1/10*c**4 + 23/10*c + 1/2*c**3 = 0. Calculate c.
-8, 1
Let a(b) = -2*b**3 - 32*b**2 - 9*b - 142. Let u be a(-16). Let 2/11*y + 4/11 - 2/11*y**3 - 4/11*y**u = 0. What is y?
-2, -1, 1
Factor -61/4*t**3 + 367/2*t**2 + 11/2 - 695/4*t.
-(t - 11)*(t - 1)*(61*t - 2)/4
Let m(i) be the second derivative of i**6/15 - 17*i**5/10 + 21*i**4/2 + 27*i**3 + 377*i. Factor m(h).
2*h*(h - 9)**2*(h + 1)
Suppose 3*k + 2 = 4*k. Suppose -4*n**4 + 2*n**4 + 6*n**3 + 2*n**k - 20715*n + 20709*n = 0. Calculate n.
-1, 0, 1, 3
Let b be (-2)/28*(-4)/2 - 18/126. Determine x so that 0 + 1/5*x**4 + b*x**3 + 6/5*x - 7/5*x**2 = 0.
-3, 0, 1, 2
Let m = 570813/2 - 285406. Factor 7/2*j**2 + 11/2*j + 5/2 + m*j**3.
(j + 1)**2*(j + 5)/2
Let l(x) be the second derivative of x**5/200 + 211*x**4/120 + 3*x - 101. Factor l(k).
k**2*(k + 211)/10
Let t(s) = s**3 - 44*s**2 - 741*s + 2. Let k be t(-13). Solve 3/2*i - 5/2*i**4 + 5/2*i**k - 3/2*i**3 + 0 = 0.
-1, -3/5, 0, 1
Let x(j) be the third derivative of -j**5/30 - 349*j**4/12 - 694*j**3/3 - 3*j**2 - 212. Factor x(u).
-2*(u + 2)*(u + 347)
Let w(m) = -2*m + 4. Let d be w(2). Suppose 3 = -2*k - g, k + 12 = g + 21. F