11*w**4/4 + 363*w**3/2 + 345*w**2 - 2*w. Let v(b) = 0. Calculate b.
33
Suppose -1166 - 154 = 60*o. Let z be (3/o)/(6/(-640)). Factor z*d + 128/11*d**2 + 50/11.
2*(8*d + 5)**2/11
Let m(s) be the first derivative of -2/21*s**4 + 0*s**2 + 1/14*s**5 - 24 + 31/3*s**3 + 0*s - 1/180*s**6. Let n(x) be the third derivative of m(x). Factor n(i).
-2*(i - 4)*(7*i - 2)/7
Suppose -2*s + j + 2*j = 8, -s = 3*j - 14. Suppose -5*y + 4 = -6. Solve -7*r**3 + 48*r + 32 + y*r**2 + s*r**4 - 14*r**3 + 9*r**3 = 0.
-1, 4
Suppose 124*c = 130*c + 61*c - 268. Factor 3/7*k**c - 9/7*k**3 + 3*k + 18/7 - 9/7*k**2.
3*(k - 3)*(k - 2)*(k + 1)**2/7
Factor -98568/13*u + 0 - 2/13*u**3 - 888/13*u**2.
-2*u*(u + 222)**2/13
Let v(w) be the second derivative of w**4/28 + 9*w**3/14 + 30*w**2/7 + 15*w. Factor v(k).
3*(k + 4)*(k + 5)/7
Suppose -3*u + k = 19, 5*u - 2*k + 28 = -2. Let g be 0 - -50*(-4)/u. Find p such that g*p**3 + 12*p**2 - 56*p**3 - 13*p**3 - 40*p**3 + 147*p**4 = 0.
0, 2/7
Let 3544/5*i**3 - 2354988/5*i**2 - 77027340002/5 + 695506456/5*i - 2/5*i**4 = 0. Calculate i.
443
Let v(s) be the second derivative of -s**7/7 - 3*s**6/5 + 43*s**5/5 + 329*s**4/27 - 7595*s**3/27 + 8575*s**2/9 + 1261*s. Factor v(h).
-2*(h + 5)**2*(3*h - 7)**3/9
Let -5/3*t**3 + 2605*t - 3930 - 1280/3*t**2 = 0. What is t?
-262, 3
Let u(n) = -n**2 - 7*n + 2. Let t be u(-9). Let l = 19 + t. Determine k, given that 25*k**3 - 3*k**5 - 22*k**l + 6*k**2 - 13*k**4 + 7*k**4 = 0.
-2, -1, 0, 1
Factor 4/5*w**2 + 3408/5 - 3412/5*w.
4*(w - 852)*(w - 1)/5
Suppose 3*z + 4860 = -u, -212*z + 215*z + 4866 = -3*u. Let m = -1617 - z. Factor 5/2*f**3 - 1/2*f**4 - 5/2*f - 3/2*f**2 + m.
-(f - 4)*(f - 1)**2*(f + 1)/2
Suppose -u = -y, 11 - 9 = -3*u + 4*y. Factor u*f - 4*f**3 + 4 + 619*f**2 - 623*f**2 + 2*f.
-4*(f - 1)*(f + 1)**2
Let z be (4 - (-14109)/(-6))*(-2)/36. Let u = 543/4 - z. Factor -84*t**2 - 40*t - u - 54*t**3.
-2*(3*t + 2)**2*(9*t + 2)/3
Let s = -245/12 - -8851/420. Let w = 452/315 - s. Solve w*j**3 - 2/9*j**2 + 0*j + 0 + 4/9*j**4 = 0.
-2, 0, 1/4
Let d(t) = 9*t**3 - 965*t**2 - 117074*t + 484172. Let k(j) = 5*j**3 - 482*j**2 - 58536*j + 242088. Let b(o) = -6*d(o) + 11*k(o). Let b(s) = 0. What is s?
-246, 4
Suppose 17/9*y**2 + 28/9 + 1/9*y**3 + 44/9*y = 0. What is y?
-14, -2, -1
Let y be (606/2121)/((6/2)/3). Suppose 2*z + 0 = 4. Find u, given that y*u - 12/7 + 2/7*u**z = 0.
-3, 2
Find a, given that 584/9*a**2 + 128/9 - 18*a**3 - 72*a + 8/9*a**4 = 0.
1/4, 2, 16
Determine q, given that -170 - 209*q**2 + 641*q**2 - 406*q**2 + 2*q**3 - 146*q = 0.
-17, -1, 5
Let x be (-2)/(16/14) - 620/(-248). Let w = 34 - 135/4. Find b, given that 0 - 1/2*b**4 + 0*b**2 - w*b + x*b**3 = 0.
-1/2, 0, 1
Let n(i) = 7*i - 119. Let l be n(23). Suppose -4*t + l - 34 = 0. Determine f, given that 2/9*f**4 + 2/3*f**3 + 0 + 0*f**t + 0*f = 0.
-3, 0
Let v(s) be the third derivative of 0 - 1/270*s**5 + 0*s + 9*s**2 - 17/27*s**4 - 1156/27*s**3. Factor v(n).
-2*(n + 34)**2/9
Let m(p) be the second derivative of p**5/220 + 19*p**4/66 + 325*p**3/66 - 6028*p. Solve m(r) = 0.
-25, -13, 0
Let n(f) be the second derivative of -94/3*f**3 + 125/21*f**7 + 121*f - 73/2*f**4 - 12*f**2 + 0 - 25/4*f**5 + 35/2*f**6. Solve n(k) = 0.
-2, -2/5, -3/10, 1
Let x be 72/(-28)*((-1656)/(-54))/(-46). Factor 1/7*h**2 + 36/7 - x*h.
(h - 6)**2/7
Let b(s) be the second derivative of s**6/240 + 29*s**5/80 + 7*s**4/4 + s**3/3 + 16*s**2 - s + 1. Let f(w) be the second derivative of b(w). Factor f(k).
3*(k + 1)*(k + 28)/2
Let s be 11214/(-356)*8/(-7). Let y(f) be the second derivative of 0 - 1/9*f**3 + s*f + 2/3*f**2 - 1/18*f**4. Factor y(k).
-2*(k - 1)*(k + 2)/3
Let x(o) be the third derivative of 0*o + 1/2*o**4 - 2/35*o**7 - 1/112*o**8 + 0*o**3 + 1/5*o**5 - 51*o**2 + 0 - 3/40*o**6. Solve x(c) = 0 for c.
-2, -1, 0, 1
Let s(t) = -2*t**2 + 2*t + 2. Let g(f) = -10*f**2 + 74*f - 268. Let w(l) = -g(l) + 6*s(l). Let w(u) = 0. Calculate u.
-35, 4
Let y(x) be the first derivative of 4*x**2 + 3/2*x**4 + 0*x + 1/5*x**5 + 3 + 4*x**3. Let y(f) = 0. Calculate f.
-2, 0
Let q(r) be the second derivative of r**6/150 - r**5/50 - 13*r**4/60 - r**3/3 - 83*r. Factor q(u).
u*(u - 5)*(u + 1)*(u + 2)/5
Let p(t) = -t**4 - 13*t**3 + 63*t**2 - 47*t - 5. Let d(h) = h**3 - 2*h**2 - h + 5. Let l(b) = -5*d(b) - 5*p(b). Find g, given that l(g) = 0.
-16, 0, 1, 3
Let j(m) be the second derivative of 0 - 20*m + 29/4*m**2 + 19/4*m**3 - 1/40*m**5 + 9/8*m**4. Factor j(y).
-(y - 29)*(y + 1)**2/2
Suppose 0 = 45*d + 136*d - 543. Let z(t) be the second derivative of 65/48*t**4 + 0 + 1/24*t**6 - 13*t + 5/2*t**d + 3/8*t**5 + 5/2*t**2. Factor z(x).
5*(x + 1)**2*(x + 2)**2/4
Let w be (0 - -13) + (-17 - 4140/(-897)). Let -2/13*i**2 + w - 6/13*i = 0. Calculate i.
-4, 1
Let i(t) be the second derivative of -t**7/126 + t**6/45 + t**5/60 - t**4/18 - 472*t. Let i(l) = 0. What is l?
-1, 0, 1, 2
Let q(a) = -11*a**4 + 36*a**3 + 16*a**2 - 46*a. Let v(w) = -2*w**4 + 3*w**2 - 2*w. Let k(m) = 4*q(m) - 20*v(m). Solve k(t) = 0.
-1, 0, 1, 36
Let f(v) be the first derivative of -v**6/280 + 3*v**5/70 + 15*v**4/56 + 4*v**3/7 - 16*v**2 - 193. Let j(x) be the second derivative of f(x). Factor j(p).
-3*(p - 8)*(p + 1)**2/7
Suppose -27*h + 30*h = -s + 19, 5*h - 65 = -5*s. Let -5/6*b**h + 0*b + 0*b**2 + 1/6*b**4 + 0 + 2/3*b**5 = 0. Calculate b.
-5/4, 0, 1
Let w(g) be the first derivative of -g**6/2 - 9*g**5/5 + 255*g**4/4 + 227*g**3 - 2142*g**2 - 4704*g - 3579. Suppose w(s) = 0. Calculate s.
-7, -1, 4, 8
Let a(m) be the third derivative of 0*m**3 - 1/210*m**7 + 1/8*m**6 - 9/20*m**5 + 0 - 24*m**2 - 3*m + 13/24*m**4. Factor a(n).
-n*(n - 13)*(n - 1)**2
Factor 52*d**2 + 3206*d - 44*d**2 - 3202*d + 4*d**3.
4*d*(d + 1)**2
Factor 3*p - 125*p**3 - 5*p**4 + p - 155*p**3 - 275*p**2 - 4*p.
-5*p**2*(p + 1)*(p + 55)
Let f(m) be the first derivative of -m**3/15 - 187*m**2/5 - 373*m/5 + 1264. Factor f(j).
-(j + 1)*(j + 373)/5
Suppose -10*b + 22 = -28. Let s(x) be the first derivative of 0*x - 1/44*x**4 - 1/66*x**6 + 0*x**3 + 2/55*x**b + 0*x**2 - 10. Solve s(u) = 0.
0, 1
Let k be ((-55)/(-30) - 2)/(6/(-16)). Let d be -3 - (-996)/27*67/268. Solve -d*a**2 + 124/9*a**3 - 64/9*a**4 - k*a + 0 = 0.
-1/16, 0, 1
Let w(c) = -13*c**2 - 459*c + 1680. Let b(t) = -10*t**2 - 305*t + 1120. Let x(q) = 7*b(q) - 5*w(q). Suppose x(g) = 0. Calculate g.
4, 28
Let t(l) = 24*l**2 + 3229*l + 887801. Let z(s) = 17*s**2 + 2151*s + 591867. Let i(m) = -5*t(m) + 7*z(m). Factor i(p).
-(p + 544)**2
Let q(k) be the second derivative of 1/15*k**6 + 0*k**2 + 8/3*k**4 - k - 4*k**3 - 7/10*k**5 - 13. Factor q(r).
2*r*(r - 3)*(r - 2)**2
Suppose 10*i - 8*i + 10 = 0, -2*y = -6*i - 36. Let x(w) be the first derivative of -32/3*w - 31 + 4/3*w**2 - 1/18*w**y. Factor x(u).
-(u - 8)**2/6
Let v(k) be the second derivative of 2*k**6/15 - 5*k**5 - k**4/3 + 50*k**3/3 + 753*k. Suppose v(p) = 0. Calculate p.
-1, 0, 1, 25
Let d be ((-1043)/(-42) + -26)*2/(-7). Factor 4 + d*b**2 - 8/3*b.
(b - 6)*(b - 2)/3
Determine c so that -16*c - 720 - 478*c - 5*c**3 - 66*c + 120*c**2 - 35*c = 0.
-1, 9, 16
Suppose -15 = 28*v - 25*v. Let w(p) = 70*p**3 - 190*p**2 + 185*p - 55. Let x(l) = -l**4 + l**3 - l**2 - 1. Let k(o) = v*x(o) - w(o). Factor k(f).
5*(f - 12)*(f - 1)**3
Let r(j) = -j**2 - 55*j + 84. Let n(y) = 2*y**2 + 55*y - 83. Suppose -30 = -15*c + 10*c. Let b(a) = c*n(a) + 7*r(a). Factor b(p).
5*(p - 9)*(p - 2)
Let k(g) = -4*g**3 - 2228*g**2 - 415154*g - 25739426. Let c(r) = -8*r**3 - 4454*r**2 - 830309*r - 51478853. Let n(m) = -2*c(m) + 5*k(m). Factor n(d).
-4*(d + 186)**3
Let i(b) be the third derivative of -b**5/480 + b**4/32 + 543*b**2 - 1. Determine g so that i(g) = 0.
0, 6
Let w be -3 - (-64)/6*3. Let h = 31 - w. Factor 2*p**4 - 3*p**4 + 2*p**h + 0*p**4 - p**2.
-p**2*(p - 1)*(p + 1)
Let z be -1*(-1264)/(-256) + (20/(-5) - -9). Let r(p) be the second derivative of -2 + 3*p**2 + 14*p + z*p**4 + 3/4*p**3. Factor r(b).
3*(b + 2)*(b + 4)/4
Suppose 0 = 30*y - 31*y + 3. Factor -5*d**y - 140*d**2 - 54 - 54*d + 75*d**2 + 3*d**3 + 47*d**2.
-2*(d + 3)**3
Suppose 5*o + 5*n = 440, -8*n + 456 = 5*o - 7*n. Suppose -2*b - 2*a = -o, 4*b + 2*a - 57 = 119. Factor 0 + 6*u + 207/2*u**3 - b*u**2 - 105*u**4 + 75/2*u**5.
3*u*(u - 1)**2*(5*u - 2)**2/2
Let u be (2 - (-96)/(-36))/((-4)/9). Let n = -28 + 30. Let -3/2 - u*d**n - 15/4*d = 0. What is d