**2 + o = 0 for u.
6
Suppose 0 = -48*a + 41*a - 27629. Let r = 43449/11 + a. Find b, given that 16/11*b**2 - 2/11*b - r*b**3 + 0 = 0.
0, 1/4
Let p be (7/(-168))/((-7)/1575). Let -p*s**2 + 39/8*s**3 + 3/8 + 33/8*s = 0. Calculate s.
-1/13, 1
Let o = 51 - 56. Let h be 47 - 15 - (o - -1). Factor 10*l**3 + 5 - 15*l**2 + 2*l**4 + h*l**2 - 1 + 14*l - 3*l**2.
2*(l + 1)**3*(l + 2)
Suppose 78*l - 8565 + 2*l**4 + 3*l**4 + 5185 + 130*l**3 + 825*l**2 - 598*l = 0. Calculate l.
-13, -2, 2
Suppose 0 = 5*g - g. Suppose g = -2*i + 4*i - 4, 0 = y + i - 4. Factor 4*l**5 + l**3 + 4*l**y - 18*l**4 + 14*l**4 - 3*l**3 - 2*l**5.
2*l**2*(l - 2)*(l - 1)*(l + 1)
Let g(h) = -2*h**3 + 13*h**2 + 239*h + 550. Let l be g(-3). Factor 32079/2*q + 5355/4*q**2 + 14739 + 3/8*q**l + 309/8*q**3.
3*(q + 1)*(q + 34)**3/8
Let h = -1606 - -1648. Suppose -152*v + 166*v = h. Factor -3/8*a**2 + v*a - 9/2.
-3*(a - 6)*(a - 2)/8
Let c(s) be the third derivative of 153*s**2 - 11/4*s**5 + 0 - 1/24*s**6 + 1445/6*s**3 - 425/8*s**4 + 0*s. Factor c(w).
-5*(w - 1)*(w + 17)**2
Let w(a) be the second derivative of -23/3*a**3 + 293*a + 22*a**2 + 1/6*a**4 + 0. Factor w(n).
2*(n - 22)*(n - 1)
Factor 0 + 1196/5*h**2 + 2/5*h**3 + 178802/5*h.
2*h*(h + 299)**2/5
Suppose -3*b - 33 = -3*p - 8*b, -3*p + 3 = -5*b. Solve p*o**2 + 51*o**3 - 3*o**4 + 0 - 57*o**3 + 3*o**5 + 3*o - 3 = 0.
-1, 1
Factor -2/5*m**4 + 192/5*m - 104/5*m**2 + 24/5*m**3 - 128/5.
-2*(m - 4)**2*(m - 2)**2/5
Factor 14*z**3 - 42*z**2 - 8*z**3 - 49 - z**3 - 155*z + 2*z**2 - 61.
5*(z - 11)*(z + 1)*(z + 2)
Let o be (-2730)/1820*(-2 + -1). Factor 5/2*u**3 - o + 27/2*u - 23/2*u**2.
(u - 3)*(u - 1)*(5*u - 3)/2
Let p be (-22)/(-6) + (-8)/12. Suppose -9 = -p*r - 0. Solve -5*a - 19*a**2 - 5*a**5 + 9*a**2 + 10*a**2 + 10*a**r = 0.
-1, 0, 1
Determine w, given that -7*w**2 + 45/4*w - 9/2 - 3/4*w**3 + w**4 = 0.
-3, 3/4, 1, 2
Let k = -58 + 78. Let k*q - 6*q**3 - 6*q**2 + 0*q**3 + 4*q**3 = 0. What is q?
-5, 0, 2
Let h(l) be the second derivative of -4 - 1/20*l**5 + 0*l**2 - 1/20*l**4 - 4*l + 3/10*l**3 - 1/150*l**6. Factor h(x).
-x*(x - 1)*(x + 3)**2/5
Let t = 3557/30514 + 489/1606. Find k, given that t + 98/19*k**2 + 56/19*k = 0.
-2/7
Let c(m) be the third derivative of m**6/360 - 41*m**5/180 + 8*m**2 + 41. Factor c(o).
o**2*(o - 41)/3
Let h = 99 - 125. Let y be 1 - (-3)/(-2)*h. Find a such that 2*a**3 - a**3 - 6 - 36*a**2 + a + y*a**2 = 0.
-3, -2, 1
Let r(x) be the third derivative of -x**8/1680 + x**7/70 - x**6/12 + 7*x**5/30 - 3*x**4/8 + 11*x**3/30 - x**2 + 26*x - 15. Factor r(t).
-(t - 11)*(t - 1)**4/5
Suppose -2*f + 2 = 0, 2*k - 1479 = 3*f - 402. Let a = -540 + k. What is y in 2/3*y**2 + a + 1/3*y**3 - 1/3*y**4 + 0*y = 0?
-1, 0, 2
Suppose -30*y + 27 = -21*y. Factor 48*r**2 - 77*r**3 + 8*r - 78*r**y + 129*r**3.
-2*r*(r - 2)*(13*r + 2)
Factor -4*t**2 + 2760 - 212*t + 2*t**2 + 23*t**2 - 3*t**2 - 14*t**2.
4*(t - 30)*(t - 23)
Let i be 820100/1002885 - (-4)/74. Let a(x) be the first derivative of -14/13*x + 3/26*x**4 - 27/13*x**2 - i*x**3 - 4. What is q in a(q) = 0?
-1, -1/3, 7
Let p(d) = 4*d + 44. Let f be p(-6). Suppose -m - f = -5*m. Factor -5*n**m - 7*n**3 + 15*n**4 + n**3 - 7*n**3 + 3*n**3.
-5*n**3*(n - 2)*(n - 1)
Let c(d) = -d**3 - d**2 + 2*d. Suppose 33*y - 116 = 148. Let v(z) = -2*z**3 - 4*z**2 + 6*z. Let l(n) = y*c(n) - 3*v(n). Let l(r) = 0. What is r?
0, 1
Factor 0 - 732/5*v**2 + 133956/5*v + 1/5*v**3.
v*(v - 366)**2/5
Let b(r) be the third derivative of -r**5/60 + 1205*r**4/12 - r**2 - 4129*r. Suppose b(z) = 0. Calculate z.
0, 2410
Factor -117/5*w + 13689/10 + 1/10*w**2.
(w - 117)**2/10
Suppose 0 = 2*b + 3*p - 15, -b - 4*p - 9 = -8*p. Factor 5*i + 38*i**2 + 19*i - 15*i**2 - b*i**2 - 144 + 2*i**3.
2*(i - 2)*(i + 6)**2
Let v = 102752/77182023 + -2/49827. Let o = v + 18578/7745. Let -39/5*h**3 - 9*h**2 - o*h**4 - 21/5*h - 3/5 = 0. Calculate h.
-1, -1/4
Suppose -5*b + 13*w = 11*w - 54, 5*b - 3*w = 51. Determine x so that 20*x - 4*x**3 - 60*x**4 - 69*x**4 + b*x**2 + 8 + 125*x**4 = 0.
-1, 2
Let s(o) be the first derivative of 2*o**3/63 - 59*o**2/7 + 100*o/3 + 1693. Let s(z) = 0. What is z?
2, 175
Suppose -88*q**2 + 5*q - 140*q**3 - 347 - 344 + 13*q**2 + 960*q**4 + 691 = 0. What is q?
-1/4, 0, 1/16, 1/3
Let q(d) be the third derivative of -3 + 11*d**2 - 1/240*d**5 - 1/16*d**4 + 0*d + 2/3*d**3. Factor q(m).
-(m - 2)*(m + 8)/4
Let u(v) be the second derivative of 1/42*v**7 - 31/6*v**3 - 11/3*v**4 - 2/15*v**6 - 4*v**2 - 13/10*v**5 + 89*v + 0. Determine o so that u(o) = 0.
-1, 8
Let f(v) = -2*v**2 + 22*v - 11. Let a(s) = s**2 - 6*s + 3. Let x = -500 - -502. Let p(g) = x*f(g) + 9*a(g). Factor p(n).
5*(n - 1)**2
Let p(d) be the third derivative of d**5/75 - 9*d**4/10 + 52*d**3/15 - 6*d**2 + 130. Factor p(n).
4*(n - 26)*(n - 1)/5
Suppose 0*m - 1 = m, m + 9 = -2*z. Let a be (45/(-10) - z)*-10. Determine b, given that 3 + 6*b**2 + 10 - 12*b**4 - 2*b**2 - a + 28*b**3 - 28*b = 0.
-1, 1/3, 1, 2
Let r(i) be the first derivative of 1 + 0*i + 16/3*i**4 + 0*i**2 + 1/9*i**6 - 4/3*i**5 - 64/9*i**3. Factor r(q).
2*q**2*(q - 4)**2*(q - 2)/3
Let r(f) be the first derivative of -5*f**3/3 + 3095*f**2 - 1915805*f - 2644. Find s, given that r(s) = 0.
619
Suppose -21 + 17 = -2*l. Let k(m) be the first derivative of 21*m**l - m**4 - 4*m**3 + 0*m**4 + 16*m - 21*m**2 - 15. Let k(j) = 0. Calculate j.
-2, 1
Let m = 1496/287 - -1460/2583. Factor -162 + 2/9*f**4 + m*f**3 + 48*f**2 + 108*f.
2*(f - 1)*(f + 9)**3/9
Let -10277982 + 3212*t**3 + 39204*t**2 + 238/3*t**4 - 455202*t + 2/3*t**5 = 0. Calculate t.
-33, 13
Let w = -768 - -771. Suppose 1 = -i + 4. Factor w*q**i - 133 + 133.
3*q**3
Let j(y) = 11*y**3 - 301*y**2 + 585*y - 307. Let g(f) = -9*f**3 + 300*f**2 - 585*f + 303. Let t(m) = -4*g(m) - 3*j(m). Factor t(a).
3*(a - 97)*(a - 1)**2
What is y in -424 - 1164*y**2 + 2308*y**2 - 1912*y - 1162*y**2 = 0?
-106, -2/9
Let l = 293 - 125. Let j be (l/(-49) - -3)*(-8)/6. Find n such that 1/7*n + 4/7*n**2 - 1/7*n**3 - j = 0.
-1, 1, 4
Suppose 14174*k**4 + 14193*k**4 + 104*k - 28365*k**4 - 86*k**2 - 20*k**3 = 0. Calculate k.
-4, 0, 1, 13
Let b be ((1 - -1) + 0)/(3805/24352). Solve -16/5 + 56/5*q**3 - 12/5*q**4 - 92/5*q**2 + b*q = 0.
2/3, 1, 2
Let k(z) be the second derivative of 1/12*z**4 - 1/6*z**5 + 17/2*z**2 + 0*z**3 + 0 - 4*z. Let l(r) be the first derivative of k(r). Find h such that l(h) = 0.
0, 1/5
Let h(j) be the third derivative of -5*j**8/336 + 11*j**7/42 - 35*j**6/24 + 25*j**5/12 + 15*j**4/2 - 30*j**3 - 1183*j**2. Suppose h(k) = 0. Calculate k.
-1, 1, 2, 3, 6
Factor 64/3 + 382/9*m + 188/9*m**2 - 2/9*m**3.
-2*(m - 96)*(m + 1)**2/9
Let b(q) be the second derivative of 13/42*q**4 + 1 - 8/7*q**3 + q - 4/7*q**2. Suppose b(n) = 0. Calculate n.
-2/13, 2
Suppose -g + 18*v + 991 = 13*v, g - 2*v - 994 = 0. Let y = g + -996. Factor 0*h + y + 1/2*h**3 + h**2 - 1/2*h**4.
-h**2*(h - 2)*(h + 1)/2
Let r(w) be the third derivative of -1/336*w**8 - 2*w**2 + 13/210*w**7 + 49/6*w**3 - 31/30*w**5 - 17/60*w**6 + 0*w - 39 + 35/24*w**4. Let r(t) = 0. Calculate t.
-1, 1, 7
Let p = -3/116522 + -583658671/1048698. Let z = 557 + p. Factor 2/9*k**3 + 0 + 2/9*k - z*k**2.
2*k*(k - 1)**2/9
Let l(q) be the second derivative of -187*q + 21/100*q**5 + 0 - 9/10*q**4 - 6/5*q**2 + 3/2*q**3. Factor l(p).
3*(p - 1)**2*(7*p - 4)/5
Let a be -4 + 576/82 + -3. Let d = a + 79/123. Find c, given that 0 + 1/3*c - 7/3*c**3 + 4/3*c**4 + d*c**2 = 0.
-1/4, 0, 1
Factor 4/9*p**4 - 20/9 + 8/3*p - 8/3*p**3 + 16/9*p**2.
4*(p - 5)*(p - 1)**2*(p + 1)/9
Let d = 996/7475 + 2/22425. Solve -56/5 - 10/3*o**2 + d*o**3 + 176/15*o = 0 for o.
2, 21
Let x(c) be the first derivative of c**9/3024 - c**8/420 + c**7/280 + 22*c**3 - c - 145. Let m(l) be the third derivative of x(l). Determine b so that m(b) = 0.
0, 1, 3
Let x(o) be the first derivative of -o**3 + 111*o**2 - 219*o + 4034. Suppose x(p) = 0. What is p?
1, 73
Let g(s) be the third derivative of s**6/40 + 6477*s**5/20 + 13983843*s**4/8 + 10063705679*s**3/2 - 1877*s**2 + 3. Determine w so that g(w) = 0.
-2159
Let r(u) be the second derivative of -u**8/15680 - u**7/735 - u**6/105 - 3*u**4/2 - 57*u. Let o(g) be the third derivative of r(g). Factor o(l).
-3*l*(l + 4)**2/7
Suppose 76*c - 723 + 205 = -214. Let d = -4321/88 + 411/8. Determine f so that -8/11*f**c + 1/11*f**5 - 38/11*f**2 + d*f**3 + 28/11