8*t**4 - 17*t**4 - 1 + 10*t - w*t**3 - 4 - 26*t**4 = 0. Calculate t.
-1, 1
Suppose -7399 = -4*k + o, 39*k - 37*k = -5*o + 3705. Let w = k - 1625. Solve w*z**2 - 48 + 183/2*z**3 + 96*z + 21/2*z**4 = 0.
-4, -1, 2/7
Let q(t) be the second derivative of -104*t + 0*t**2 + 1/14*t**7 + 51/20*t**5 + 17/20*t**6 + 25/8*t**4 + 0 + 3/2*t**3. Find n such that q(n) = 0.
-6, -1, -1/2, 0
Factor -3*o - 3051 + 1551 - o + 4*o**3 + 1552 - 52*o**2.
4*(o - 13)*(o - 1)*(o + 1)
Find q, given that -42*q**2 + 0 + 3/2*q**5 + 87/2*q + 42*q**4 - 45*q**3 = 0.
-29, -1, 0, 1
Let a be (4 - (-4)/1)*(-1 - -2). Let o be 365/4 + a/128*-4. Suppose v**4 + o - 48 - v**2 - 43 = 0. Calculate v.
-1, 0, 1
Let 506/13*g**2 - 68/13*g**3 + 2/13*g**4 + 1224/13*g + 648/13 = 0. What is g?
-1, 18
Factor 0*l**3 - 408*l**2 - 7*l**3 - 3465*l - 45*l**2 - 675 - 8*l**3.
-3*(l + 15)**2*(5*l + 1)
Factor 2/5*k**5 + 64/5*k**3 + 0 + 22/5*k**4 + 56/5*k**2 + 0*k.
2*k**2*(k + 2)**2*(k + 7)/5
Let p(s) be the second derivative of s**6/6 - 81*s**5/4 - 320*s**4/3 + 280*s**3 - 9505*s. Suppose p(w) = 0. What is w?
-4, 0, 1, 84
Let f be -1 - 3*4/(-3). Suppose b - 5 + f = r, -3*r = -2*b + 2. Factor 5*t**4 - t**2 + 13*t**3 - t**r - 3*t**2 + 5*t**5 - 18*t**3.
5*t**2*(t - 1)*(t + 1)**2
Let x = 14/1713 - -153/4568. Let b(d) be the second derivative of 1/40*d**5 - 1/24*d**4 - x*d**3 + 1/8*d**2 + 1/120*d**6 - 1/168*d**7 + 0 - 37*d. Factor b(p).
-(p - 1)**3*(p + 1)**2/4
Factor 34 - 78*d + 46 + 240*d + 56107*d**4 + 83*d**2 - 56108*d**4.
-(d - 10)*(d + 1)**2*(d + 8)
Let h(a) be the first derivative of -a**3/9 + 187*a**2/2 - 5721. Let h(m) = 0. What is m?
0, 561
Let i be 312/78 + (1 - (2 + -1 + 1)). Let f(t) be the first derivative of 0*t**2 + 0*t + 1/12*t**i + 19. Factor f(k).
k**2/4
Let j(r) = -2*r**2 + 341*r - 317. Let b(s) = -s**2 + 170*s - 157. Let u(p) = 11*b(p) - 6*j(p). Factor u(l).
(l - 175)*(l - 1)
Let i(n) be the third derivative of -23/4*n**5 - 60835/6*n**3 + 2645/8*n**4 + 0 + 129*n**2 + 1/24*n**6 + 0*n. Solve i(z) = 0 for z.
23
Suppose 46*x = -8*x + 7*x + 1128. Find q, given that -648*q**2 - 7776*q - 34992 - x*q**3 - 1/3*q**4 = 0.
-18
Let k(z) be the first derivative of -z**6/6 - 86*z**5/5 - 1849*z**4/4 - 3299. Factor k(w).
-w**3*(w + 43)**2
Determine n so that -732*n - 3/5*n**2 - 3657/5 = 0.
-1219, -1
Solve 3/2*n**3 + 162 - 12*n**2 - 63/2*n = 0 for n.
-4, 3, 9
Let d(z) be the third derivative of z**6/60 - z**5/5 - 10*z**4/3 + 64*z**3 + 5065*z**2. Let d(r) = 0. Calculate r.
-6, 4, 8
Let l(q) be the third derivative of 11/840*q**5 - 1/280*q**6 + 22*q**2 + 0 + 0*q + 1/3*q**3 - 1/84*q**4. Let d(u) be the first derivative of l(u). Factor d(m).
-(m - 1)*(9*m - 2)/7
Let x(u) be the third derivative of -u**5/15 - 161*u**4/6 - 18*u**2 + 68. Factor x(p).
-4*p*(p + 161)
Let f(v) = 2*v**3 + 11*v**2 + 70*v + 329. Let c be f(-5). What is b in 42/5*b - 2*b**3 + 2/5*b**c - 36/5 + 2/5*b**2 = 0?
-2, 1, 3
Let c(h) = -12*h**2 + 29*h + 5. Let x(l) = 6*l**2 - 14*l - 2. Let z(n) = 3*c(n) + 5*x(n). Let v(j) = -j**2 + 3*j + 1. Let w(y) = 5*v(y) - z(y). Factor w(s).
s*(s - 2)
Let -k**2 + 0*k + 7/6*k**3 + 0 - 1/6*k**5 + 0*k**4 = 0. What is k?
-3, 0, 1, 2
Let t = 23 - -136. What is h in 154*h**2 - 42 + 36*h + 204 - 311*h**2 + t*h**2 = 0?
-9
Determine x so that -192/7 + 192/7*x - 36/7*x**2 - 12/7*x**3 + 3/7*x**4 = 0.
-4, 2, 4
Let i(w) be the third derivative of w**5/15 - 35*w**4/6 - 1372*w**3/3 + 35*w**2 + 2. Factor i(g).
4*(g - 49)*(g + 14)
Let w be (-135)/30*(-24)/54. Let s(z) be the second derivative of 16*z**w - 6*z**3 + 10*z + 1/3*z**4 + 0. Factor s(g).
4*(g - 8)*(g - 1)
Let a be (-4)/((-16)/3) - ((-1420)/240)/(-71). Factor -16/3*d - 32/3*d**3 + 12*d**2 + 10/3*d**4 + a.
2*(d - 1)**3*(5*d - 1)/3
Let m(q) be the second derivative of -q**6/6 + 17*q**5/2 + 325*q**4/4 + 964*q. Factor m(f).
-5*f**2*(f - 39)*(f + 5)
Let i be 180/126*231/66. Let b(c) be the third derivative of -22*c**2 + 0*c**3 + 0 + 0*c + 1/96*c**6 - 5/96*c**4 + 1/840*c**7 - 1/240*c**i. Factor b(s).
s*(s - 1)*(s + 1)*(s + 5)/4
Let d(w) be the third derivative of -w**8/1512 - w**7/105 - 2*w**6/45 - 8*w**5/135 + 1808*w**2. Factor d(l).
-2*l**2*(l + 1)*(l + 4)**2/9
Let o be 8/(32/3)*24/9. Find t, given that -2*t**4 + 110*t**2 - 20*t - 108*t**2 + 22*t - o*t**3 = 0.
-1, 0, 1
Let f be 2/(-10)*(55 + -49 - 6). Solve 0*d**2 + 0*d**4 - 8/5*d - 1/10*d**5 + f + 4/5*d**3 = 0.
-2, 0, 2
Let u(y) be the third derivative of y**5/60 + 335*y**4/3 + 897800*y**3/3 + 40*y**2 - 10*y + 5. Factor u(m).
(m + 1340)**2
Find x, given that 2/7*x**2 - 30/7*x + 88/7 = 0.
4, 11
Let l = 75459 - 377293/5. Factor -72/5 + l*f**4 + 102/5*f - 6/5*f**3 - 26/5*f**2.
2*(f - 3)**2*(f - 1)*(f + 4)/5
Let u = -460 + 454. Let r(f) = 4*f**4 + 20*f**3 - 74*f**2. Let o(k) = 2*k**3 - k**2. Let v(s) = u*o(s) - r(s). Find p such that v(p) = 0.
-10, 0, 2
Let x(m) be the second derivative of 0*m**2 + 4 + 1/54*m**4 + 4*m - 4/27*m**3. Solve x(c) = 0 for c.
0, 4
Let w be (15/(-25))/(-1)*5. Suppose 0 = 2*a + w*a - 15. Factor -135*v**4 - a*v + 3*v**3 - 4*v**2 + 136*v**4 + 3*v**2.
v*(v - 1)*(v + 1)*(v + 3)
Let k be ((-105)/56)/(25/(-180)). Find g such that 34/3*g + 20/3*g**3 - 7/6*g**4 - k*g**2 - 10/3 = 0.
5/7, 1, 2
Determine i so that 8/9*i - 13/9*i**2 - 2/9*i**3 + 7/9 = 0.
-7, -1/2, 1
Suppose v - w + 3 = -2*v, -5*v = 5*w + 25. Let m be 36/(-90) - (-3 - v). Let 6/5*g + 24/5 - m*g**2 = 0. Calculate g.
-2, 4
Let k(f) be the third derivative of -f**5/15 + 2*f**4/3 + 40*f**3 + 1092*f**2. Let k(n) = 0. What is n?
-6, 10
Let q(g) be the first derivative of 119*g**4/6 + 39*g**3 - 2*g**2 - 189*g - 24. Let z(s) be the first derivative of q(s). Factor z(u).
2*(u + 1)*(119*u - 2)
Let r(y) be the first derivative of y**4/22 - 50*y**3/33 + 43*y**2/11 + 138*y/11 - 2164. Factor r(g).
2*(g - 23)*(g - 3)*(g + 1)/11
Suppose 241*w - 509*w + 184 - 12*w**2 + 0*w**4 + 92*w**3 + 4*w**4 = 0. What is w?
-23, -2, 1
Let u(h) be the third derivative of -1 - 35/12*h**4 - 3/4*h**5 - 80*h**2 + 0*h + 20/3*h**3. Factor u(c).
-5*(c + 2)*(9*c - 4)
Factor 3364/15 + 2/15*i**3 + 8*i**2 + 638/5*i.
2*(i + 2)*(i + 29)**2/15
Suppose 0 = -g - 3*g + 680. Determine v, given that 187 + 5*v**2 + 265 - 41 - 91 - g*v = 0.
2, 32
Suppose 11 = -4*g + 23. Solve 15*m**3 - 12*m**g - 6*m**4 + 235*m**5 - 232*m**5 = 0 for m.
0, 1
Let j(u) be the first derivative of -1/12*u**3 + 1/24*u**4 - 1/2*u**2 - 14*u + 11. Let n(y) be the first derivative of j(y). Suppose n(r) = 0. What is r?
-1, 2
Let x(c) be the third derivative of 0*c + 1/350*c**7 - 37*c**2 + 0*c**4 + 0 + 1/100*c**6 - 3/100*c**5 + 0*c**3. Let x(w) = 0. Calculate w.
-3, 0, 1
Let f be (-3690)/(-252) + -6 - ((-9)/2 + 6 - 2). Factor -32/7*h**2 - 4/7*h**5 - 4*h**4 - 64/7*h**3 + f + 64/7*h.
-4*(h - 1)*(h + 2)**4/7
Let t = -842918 + 842949. Suppose 13/2*b**4 - 35/2*b + 1/2*b**5 + 17*b**3 + 49/2 - t*b**2 = 0. What is b?
-7, -1, 1
Let l(a) = -a**3 + 16*a**2 - 15*a + 2. Let y = 442 - 427. Let t be l(y). Factor -1/5*i**t + i**3 - 1/5*i**5 + 1/5*i**4 - 4/5 - 8/5*i.
-(i - 2)**2*(i + 1)**3/5
Solve -2108/5*i**3 + 1936/5 + 2112/5*i - 36*i**4 - 1756/5*i**2 - 4/5*i**5 = 0 for i.
-22, -1, 1
Suppose 51*l + 240*l**2 - 80 - l**3 + 129*l - 440*l - 4*l**3 - 20*l**4 = 0. Calculate l.
-4, -1/4, 2
Let n(l) be the third derivative of -l**7/105 + 41*l**6/60 + 20*l**5 + 159*l**4 + 3*l**2 + 909*l. Let n(d) = 0. What is d?
-6, 0, 53
Let b(h) = 6*h - 46. Let w be b(9). Let p be -2 + (7 - 10) + w. Determine u, given that 186/7*u**2 - 32*u - 18/7*u**p + 72/7 = 0.
2/3, 9
Suppose 458*u - 42 = 452*u. Suppose -2*o + 6 = -11*q + u*q, -2*o = q - 6. Suppose -24/11*y**2 + 72/11*y + 2/11*y**o + 0 = 0. What is y?
0, 6
Let r(s) be the third derivative of -1/90*s**6 + 54*s**2 + 0 - 86/9*s**3 + 0*s - s**5 - 29/6*s**4. Determine x, given that r(x) = 0.
-43, -1
Suppose 1703 = 90*q - q + 1525. Suppose 3/4*u**3 + 0 + 0*u - q*u**4 + 0*u**2 = 0. What is u?
0, 3/8
Let f(y) be the third derivative of y**7/210 - y**6/60 + y**4/12 - y**3/6 + 3*y**2 - 34*y. Determine t, given that f(t) = 0.
-1, 1
Let l = 173/1980 - 7/99. Let v(o) be the third derivative of 0*o - 1/3*o**4 + 0 + 29*o**2 - l*o**5 - 7/6*o**3. Factor v(z).
-(z + 1)*(z + 7)
Let q be 9/4 - 1/(-4). Let y(s) be the first derivative of 0*s**2 + 1/5*s**5 - 10 - 1/2*s**4 + q*s**6 + 0*s + 0*s**3. Factor y(v).
v**3*(3*v - 1)*(5*v + 2