**2 + 0 - 1/60*o**4 - 1/30*o**3 + 34*o. Find d such that g(d) = 0.
-1, 0
Let v = 557 + -555. Factor 3*g**2 - 2*g**2 - 2*g**2 + 52*g + 112 - g**v.
-2*(g - 28)*(g + 2)
Suppose -117*k - 289*k = -1218. Suppose 2*o - t - 2 = 0, 3*o - 6*t + 3*t = 0. Factor -3/2*f**4 + 3/4*f**k + 0*f**o + 0 + 0*f + 3/4*f**5.
3*f**3*(f - 1)**2/4
Suppose h - 4*y - 3 - 20 = 0, -20 = 4*y. Suppose -5 = -5*m, 0 = h*z + m - 2*m - 5. Factor -56*p**2 - 61*p**z + 108*p**2 - 3*p**3.
-3*p**2*(p + 3)
Suppose -169*k + 13456 - 12611 = 0. Factor -4/5*u**3 + 2/5*u**k + 0*u**2 - 2/5*u**4 + 0 + 0*u.
2*u**3*(u - 2)*(u + 1)/5
Let p(g) be the first derivative of -2*g**6/3 + 217*g**5/5 - 1581*g**4/2 + 5561*g**3/3 + 3458*g**2 - 2028*g + 6067. Suppose p(o) = 0. What is o?
-1, 1/4, 3, 26
Let b(m) = m + 36. Suppose -7*p - g - 99 = -2*p, 3*p + 58 = -2*g. Let n be b(p). Factor -16*w**4 - 7*w**2 - n*w + 0*w**5 + 12*w**3 + 23*w**2 + 4*w**5.
4*w*(w - 2)**2*(w - 1)*(w + 1)
Let q(v) be the first derivative of -2*v**5/25 - 137*v**4/10 - 442*v**3/5 - 387*v**2/5 + 2376*v/5 - 3567. Solve q(o) = 0.
-132, -3, 1
Let g be 60/(-390) - ((-102)/60)/((-13)/(-18)). Find u, given that g + 1/5*u**2 + 12/5*u = 0.
-11, -1
Suppose -4*s + 6 = -2*s. Let z = 9453 - 9450. What is g in 0*g**5 + 2*g**3 + g**s - z*g**5 - 2*g**2 - 5*g**4 + 7*g**4 = 0?
-1, 0, 2/3, 1
Suppose 5*q - 8*o + 4*o = 239, 0 = 5*q + 3*o - 232. Suppose 0 = 9*x - q + 20. Factor -h**4 + 15/4*h**x + 6*h**2 + 0 + 5/4*h.
-h*(h - 5)*(h + 1)*(4*h + 1)/4
Let g(l) be the third derivative of -l**5/30 - 601*l**4/3 - 1444804*l**3/3 + 3*l**2 - 286*l + 3. What is c in g(c) = 0?
-1202
Find a such that 12312/13 - 4176/13*a - 2/13*a**3 + 366/13*a**2 = 0.
6, 171
Let g(l) = -7*l**4 - 63*l**3 - 536*l**2 + 594*l - 6. Let f(q) = -40*q**4 - 380*q**3 - 3215*q**2 + 3565*q - 35. Let v(o) = 6*f(o) - 35*g(o). Factor v(h).
5*h*(h - 20)*(h - 1)*(h + 6)
Let z(s) be the third derivative of -s**7/630 + s**6/60 + 2*s**5/5 - s**2 + 87. Let z(k) = 0. Calculate k.
-6, 0, 12
Let x be (2/(-5) - 49/(-10))*8160/2448. Let z(j) be the third derivative of x*j**2 + 0*j - 3/23*j**3 - 1/46*j**4 - 1/690*j**5 + 0. Factor z(w).
-2*(w + 3)**2/23
Suppose -251 = -13*w + 1933. Suppose -d + w = 7*d. Find r such that d*r**2 + r + r + 34*r**2 - 65*r**2 + 4 + 4*r**3 = 0.
-1/2, 1, 2
Let y(i) be the second derivative of 5*i - 13*i**4 - 2/5*i**6 + 20*i**3 + 4*i**5 - 16*i**2 + 2. Let y(c) = 0. Calculate c.
2/3, 1, 4
Let r = 88409681824/412500355 - 5/4342109. Let p = r + -1069/5. Factor -8/19*m**2 - 2/19 + p*m.
-2*(m - 1)*(4*m - 1)/19
Let d(t) be the second derivative of -25/36*t**3 - 1/36*t**6 - 5/24*t**4 + 0 + 92*t + 5/3*t**2 + 5/24*t**5. Determine i so that d(i) = 0.
-1, 1, 4
Suppose -165 = 185*d - 905. Let k(b) be the first derivative of 78/5*b**5 - 15/2*b**6 - 6*b + 39/2*b**2 + 16 - 24*b**3 + 3/2*b**d. Determine t so that k(t) = 0.
-1, 1/3, 2/5, 1
Let u(x) be the first derivative of 1/100*x**5 + 0*x**3 - 1 + 0*x**2 - x + 1/60*x**4. Let m(y) be the first derivative of u(y). Factor m(o).
o**2*(o + 1)/5
Let a = 225056/5 - 44960. Solve -316/5*y**2 - 152/5*y - 22/5 - a*y**3 - 62/5*y**4 + 8/5*y**5 = 0.
-1, -1/4, 11
Let m be 0 + (-4 + -2)/(-2). Suppose 2*f**5 - 6*f**4 + 5*f**4 - m*f**4 - 6*f**3 + 0*f**3 = 0. Calculate f.
-1, 0, 3
Let h(m) = -24*m**2 + 4248*m - 33. Let l(j) = -3*j**2 + 530*j - 4. Let w(s) = 4*h(s) - 33*l(s). Let w(n) = 0. Calculate n.
0, 166
Let g(p) be the second derivative of -p**5/170 + 691*p**4/34 - 358456*p**3/17 + 1073296*p**2/17 - 2*p - 5263. Factor g(t).
-2*(t - 1036)**2*(t - 1)/17
Let d(t) = 2*t**2 + 6482*t + 12959. Let i be d(-2). Factor 2/11*g**4 + 0 - 2/11*g**2 + 4/11*g - 4/11*g**i.
2*g*(g - 2)*(g - 1)*(g + 1)/11
Let v(u) = -6*u**2 + 3*u + 1. Let h(n) = -92*n**2 + 280*n - 1520. Let w(g) = h(g) - 16*v(g). Factor w(o).
4*(o - 6)*(o + 64)
Let x(y) be the third derivative of 1/3*y**3 - 6*y + 2/3*y**5 + 5/12*y**6 - 5*y**2 + 1/7*y**7 + 1/48*y**8 + 0 + 5/8*y**4. Factor x(c).
(c + 1)**4*(7*c + 2)
Suppose 18 + 0 = -26*w + 32*w. Let i(q) be the first derivative of 1/2*q**4 - q**2 + 0*q + 0*q**w + 25. Suppose i(z) = 0. Calculate z.
-1, 0, 1
Let 1330*k**2 - 8*k - 11*k**3 + 56 - 670*k**2 - 674*k**2 + 13*k**3 = 0. What is k?
-2, 2, 7
Let a = 115 - 74. Factor a*x**3 + 7*x**2 - 21*x**2 - 21*x - 43*x**3 + 9*x.
-2*x*(x + 1)*(x + 6)
Let k(d) be the second derivative of d**6/75 - d**5/5 + 47*d**4/40 - 203*d**3/60 + 49*d**2/10 + 30*d - 5. Let k(y) = 0. Calculate y.
1, 2, 7/2
Let t = -1876864/2433 - -70/811. Let p = t - -790. Find k, given that p*k**2 - 2*k**3 - 100/3 - 110/3*k = 0.
-2/3, 5
Let p be (4 + 4 + -8)/(2/1). Let l(u) be the second derivative of 1/40*u**5 + p + u**4 + 128*u**2 + 3*u + 16*u**3. Factor l(x).
(x + 8)**3/2
Let a be 70/140 - 26/84. Let b(c) be the second derivative of 7*c - 1/42*c**4 + a*c**3 + 0*c**2 + 0. Solve b(h) = 0 for h.
0, 4
Let u(d) = -d**2 - 26*d - 69. Let z be u(-6). Find r such that -22*r**5 - z*r**3 + 880*r**2 - 865*r**2 + 6*r - 123*r**4 - 41*r**5 = 0.
-1, -2/7, 0, 1/3
Let x(h) = 3*h**2 - h - 2. Let u be x(-1). Let c be (-1)/u*204/(-357). Solve -c*o**3 + 2/7*o + 0 - 2/7*o**2 + 2/7*o**4 = 0.
-1, 0, 1
Suppose -3*r + 5*x = -33, -24 = 2*r - 5*r + 2*x. Let u be r/(-4)*(-24)/9. Suppose -u*a - 7*a + 15*a + 12*a**2 = 0. Calculate a.
-1/3, 0
Suppose -12*v + 22*v = 20. Suppose -2379 - 2657 = -4*k. Solve -k*x**v - 417*x**3 - 12 - 666*x**3 - 52*x**2 - 240*x = 0.
-1, -2/19
Let r(s) be the third derivative of 0*s - 2/35*s**7 + 36*s**2 + 0*s**3 + 1/112*s**8 - 3/20*s**6 - 27/8*s**4 + 0 + 9/5*s**5. Let r(b) = 0. What is b?
-3, 0, 1, 3
Suppose -67*w - 319*w = -4632. Factor -1/2*b**2 + 25/2 + w*b.
-(b - 25)*(b + 1)/2
Let f(u) = u**3 - 32*u**2 + 32*u - 29. Let k be f(31). Solve z - 54*z**2 + 162*z**2 - 54*z**k - 50*z**2 = 0.
-1/4, 0
Let w(p) be the second derivative of 3*p**5/20 - 45*p**4/4 - p**3/2 + 135*p**2/2 + 1180*p. Factor w(y).
3*(y - 45)*(y - 1)*(y + 1)
Let m(o) be the second derivative of 1/3*o**3 + o + 3*o**2 - 31 - 1/90*o**5 - 1/18*o**4. Factor m(r).
-2*(r - 3)*(r + 3)**2/9
Let a(w) be the first derivative of -5/3*w**3 - 90*w**2 - 224 + 185*w. Let a(c) = 0. What is c?
-37, 1
Let t be (5805/516)/(3/12). Let g(z) be the third derivative of -3/8*z**4 + 0 + 0*z - 27/4*z**3 - 1/120*z**5 - t*z**2. Factor g(l).
-(l + 9)**2/2
Suppose 13*u + 67 = -51 + 40. Let r(y) = -2*y**2 + y - 3. Let z(a) = 5*a**2 - a + 7. Let t be 3*(2 - 40/6). Let x(n) = t*r(n) + u*z(n). Factor x(s).
-2*s*(s + 4)
Let j = 4 + -4. Let w be (-275)/20 + (26 - 12). Factor 1/4*m**4 + 0 - 1/4*m**2 - w*m**5 + j*m + 1/4*m**3.
-m**2*(m - 1)**2*(m + 1)/4
Let d be 819/(-14) + -6 + (-2)/(-2). Let l = d - -64. Factor -l*u**3 + 0 - u**2 + 3/2*u.
-u*(u - 1)*(u + 3)/2
Let s(d) = 10*d**2 - 717*d - 352. Let y(a) = -20*a**2 + 1435*a + 700. Let o(h) = -5*s(h) - 2*y(h). Factor o(t).
-5*(t - 72)*(2*t + 1)
Let i(z) = 13*z**2 + 1163*z - 5741. Let j(k) = -7*k**2 - 509*k + 2871. Let y(a) = 3*i(a) + 5*j(a). Factor y(s).
4*(s - 3)*(s + 239)
Let y(u) be the first derivative of u**6/900 - 19*u**5/50 + 1083*u**4/20 - u**3/3 - 98*u + 135. Let v(h) be the third derivative of y(h). Factor v(f).
2*(f - 57)**2/5
Suppose 0 = 7*i - 32 - 3. Let s be (-30)/(-4)*8/6. Suppose -5 - 3 + 5*d + 0 - 2 + s*d**2 - i*d**3 = 0. What is d?
-1, 1, 2
Solve 0 + 1/2*p**4 + 0*p + 0*p**2 + 2*p**3 = 0.
-4, 0
Factor 11952/5*m**2 - 336/5*m**3 + 36288*m + 2/5*m**4 + 116640.
2*(m - 90)**2*(m + 6)**2/5
Let g = 55649/12 - 4637. Let p(f) be the second derivative of -1/2*f**3 - 6*f - 1/20*f**5 - 9/2*f**2 + 0 + g*f**4. Suppose p(n) = 0. Calculate n.
-1, 3
Let q be (-1 + (-25)/150)/((-35)/60). Factor 192/7 + 676/7*w + 2*w**q.
2*(w + 48)*(7*w + 2)/7
Let d(p) = -18*p**3 + 809*p**2 + 1606*p + 834. Let i(b) = 5*b**3 - 202*b**2 - 401*b - 209. Let r(c) = 6*d(c) + 22*i(c). Factor r(y).
2*(y + 1)**2*(y + 203)
Let u(k) be the first derivative of k**7/105 + k**6/75 - 3*k**5/50 - k**4/6 - 2*k**3/15 + 73*k - 155. Let b(y) be the first derivative of u(y). Factor b(c).
2*c*(c - 2)*(c + 1)**3/5
Let v(f) = -f**3 - 2628*f**2 - 570288*f - 41440925. Let h(m) = 2*m**3 + 7888*m**2 + 1710864*m + 124322774. Let g(d) = -3*h(d) - 10*v(d). Factor g(y).
4*(y + 218)**3
Let f(l) = -13*l + 6*l - l**3 + 6*l. Let x(s) = 0 - 114*s**3 + 7*s + 2 + 117*s**3. Let t(r) = 4*f(r) + x(r). Factor t(p).
-(p - 2)*(p + 1)**2
Let l