
Let u be 20/(-25)*(-10)/4. Suppose 0 = -u*w + 18. Factor -2*f**4 + 4*f**2 - 10 + 0*f**5 + 2*f**5 + 2*f + 17 - 4*f**3 - w.
2*(f - 1)**3*(f + 1)**2
Let c(t) = -t**4 - t**3 - t + 2. Suppose 15*o + 15*o = 180. Let n(k) = -k**4 - 8*k**3 + 13*k**2 - 14*k + 8. Let f(r) = o*c(r) - 3*n(r). Factor f(a).
-3*(a - 2)**2*(a - 1)**2
Let l(a) be the third derivative of a**6/120 + 17*a**5/6 - a**4/24 - 85*a**3/3 - 5122*a**2. Let l(v) = 0. Calculate v.
-170, -1, 1
Let v = 2397 - 2397. Let c(r) be the third derivative of 0 - 2/315*r**7 + 0*r + 0*r**3 - 12*r**2 + 0*r**4 + v*r**5 + 1/90*r**6. Factor c(g).
-4*g**3*(g - 1)/3
Let x = 584 - 576. Factor -8 - 4*y + x*y**2 - 40*y**3 + 84*y**3 - 40*y**3.
4*(y - 1)*(y + 1)*(y + 2)
Let c(t) be the first derivative of -t**5/5 + 11*t**4/4 + 13*t**3 + 41*t**2/2 + 14*t + 436. What is w in c(w) = 0?
-1, 14
Let p be (-132)/10*(-21 - -111). Let k = -1188 - p. Let -8/5*n + 2/5*n**3 + k + 0*n**2 = 0. Calculate n.
-2, 0, 2
Let o(l) be the third derivative of -l**5/12 + 1445*l**4/24 + 485*l**3 - 1411*l**2. Factor o(c).
-5*(c - 291)*(c + 2)
Let k(y) = 2*y**3 - 13*y**2 - 16*y + 15. Let n be k(10). Factor -47 - n - 120*p - 298 - 4*p**2.
-4*(p + 15)**2
Let d(b) be the first derivative of -20 + 32*b + 16*b**2 + 1/4*b**4 + 10/3*b**3. Suppose d(o) = 0. What is o?
-4, -2
Let h = -218008 - -218010. Suppose -42/5 + 3/5*f**h + 3*f = 0. Calculate f.
-7, 2
Let a = -123204/5 + 1355304/55. Let 14/11*f - a - 2/11*f**2 = 0. What is f?
1, 6
Let s(g) = 6 - g - 270*g - 122 + 19*g**2. Let y(v) = 210*v**2 - 2980*v - 1275. Let z(p) = -65*s(p) + 6*y(p). Find l, given that z(l) = 0.
-2/5, 11
Find a, given that 11 + 15/4*a + 1/4*a**2 = 0.
-11, -4
Suppose -y + 5 = -2*r, y - 5 = 368*r - 367*r. Find f such that 1/3*f**3 + r - 5/3*f**2 + 4/3*f = 0.
0, 1, 4
Let z(w) be the second derivative of w**8/6720 - w**7/3780 - w**4/3 + w**3 - 2*w + 9. Let k(n) be the third derivative of z(n). Suppose k(y) = 0. What is y?
0, 2/3
Let x(m) be the third derivative of 1/315*m**7 - 1/36*m**6 + 2/9*m**3 + 0*m - 7/36*m**4 + 1/10*m**5 + 0 + 46*m**2. Suppose x(h) = 0. What is h?
1, 2
Let i(y) = 19*y**2 - 5*y - 23. Let j be i(-4). Let o(m) = m**2 + 9*m - 13. Let w be o(-11). Find h such that w*h - 296*h**2 - 5*h**3 + h + j*h**2 = 0.
-1, 0, 2
Let p be 20 + 33/(-462)*238. Find w such that -6/5*w**2 + 4/5*w + 0 + 2/5*w**p = 0.
0, 1, 2
Suppose -305*q**2 + 40 + 15 + 50 + 14*q**3 + q**3 - 215*q = 0. What is q?
-1, 1/3, 21
Let a be (((-18)/7)/3)/(2/(-42)). Let l = a + 6. Find n such that -21*n**2 + 9*n + 5 + 1 + l*n**2 = 0.
-2, -1
Let o(w) be the second derivative of w**4/12 + 254*w**3/3 + 32258*w**2 + 142*w - 3. Determine n, given that o(n) = 0.
-254
Let i(q) = 2*q - 32. Let n be i(16). Suppose n = -3*h + 9 - 0. Factor -23*u - 12 + 0*u**2 - 4*u**3 + 11*u + 3*u**2 + 7*u**h.
3*(u - 2)*(u + 1)*(u + 2)
Suppose -540 - 129*g - 125*g + 50*g - 198*g + 3*g**2 - 135*g = 0. Calculate g.
-1, 180
Let d = -96 - -98. Suppose 291 + 56*n - 89*n**2 - 275 + 18*n**3 + 21*n**d = 0. What is n?
-2/9, 2
Let p(a) = 3*a - 1. Let l(w) = 20*w - 24. Let h(k) = 2*l(k) - 10*p(k). Let b be h(4). Solve -14/13*n - 2/13*n**3 - 6/13 - 10/13*n**b = 0 for n.
-3, -1
Let a(t) be the second derivative of -t**6 - 3 + 3/10*t**5 - 1/2*t**3 - 15*t**2 + 5*t**4 - 21*t - 1/14*t**7. What is l in a(l) = 0?
-10, -1, 1
Let g(m) be the third derivative of 5/12*m**4 - 2*m**2 - 1/12*m**6 + 0 + 1/42*m**7 - 1/12*m**5 + 60*m + 0*m**3. Determine n so that g(n) = 0.
-1, 0, 1, 2
Let p(m) be the second derivative of -m**6/360 - m**5/90 - 69*m**2/2 - 10*m - 2. Let l(o) be the first derivative of p(o). Factor l(z).
-z**2*(z + 2)/3
Let i be (-46)/4*(-10)/((-45)/(-9)). Factor -5 + 12*a - 36*a + i + 3*a**2 - 5 + 23.
3*(a - 6)*(a - 2)
Let b(k) be the second derivative of -1/45*k**5 + 2/9*k**4 - 21 + 0*k**2 + 0*k**3 + k. What is w in b(w) = 0?
0, 6
Let p = -2 - -5. Let r be 531/708 - ((-5)/(-4))/(-1). Solve -l**5 - 2*l**r - p*l + 27*l**4 - 12*l**4 - 15*l**4 + 2 + 4*l**3 = 0.
-2, -1, 1
Let r(c) be the third derivative of 1/80*c**6 - 7/12*c**4 - 66*c**2 - 4/3*c**3 - 1/30*c**5 + 0 + 0*c. Suppose r(w) = 0. What is w?
-2, -2/3, 4
Let j(f) be the second derivative of f**8/8400 + f**7/600 + f**6/300 - f**3/6 - 27*f**2/2 - 25*f. Let a(n) be the second derivative of j(n). Factor a(m).
m**2*(m + 1)*(m + 6)/5
Let d be 398/(2/(-2)) - (-135)/27. Let o = d - -396. Factor 0*j**4 + 1/6*j + 0 + 1/6*j**5 - 1/3*j**o + 0*j**2.
j*(j - 1)**2*(j + 1)**2/6
Let l(c) be the first derivative of c**5/10 - 279*c**4/8 - 380*c**3 - 1148*c**2 + 4374. Factor l(u).
u*(u - 287)*(u + 4)**2/2
Let k(t) = t**3 - 17*t**2 + 13*t + 52. Let u be k(16). Find n such that 6*n**5 + 0*n**2 - 5*n**5 - 4*n**2 - 14*n**3 + 2*n**5 + n + 2*n - u*n**4 = 0.
-1, 0, 1/3, 3
Suppose 359*q**4 - 450 + 8*q**5 + 1935*q - 124*q**4 - 2390*q**2 + 7*q**5 + 45 + 610*q**3 = 0. Calculate q.
-9, 1/3, 1
Let q(g) be the first derivative of 2*g**6/3 + 8*g**5 - 22*g**4 - 784*g**3/3 + 570*g**2 + 1800*g - 9650. Determine f, given that q(f) = 0.
-10, -5, -1, 3
Let p(c) be the first derivative of c**4 - 12*c**3 + 40*c**2 + 2178. Factor p(b).
4*b*(b - 5)*(b - 4)
Suppose -2834 = -19*s - 3. Factor -11*z + 50 - 148*z**3 - 26*z**2 + 34*z + s*z**3.
(z - 25)*(z - 2)*(z + 1)
Let a(y) be the first derivative of -y**5/5 + 27*y**4/2 - 781*y**3/3 + 702*y**2 - 676*y + 1534. Factor a(h).
-(h - 26)**2*(h - 1)**2
Let f(j) = 5*j**3 - 482*j**2 - 999*j - 504. Let r(a) = -5*a**3 + 484*a**2 + 998*a + 503. Let w(b) = 3*f(b) + 4*r(b). What is s in w(s) = 0?
-1, 100
Factor 39*r**2 + 91*r**4 - 3*r**2 - 21*r**3 + 94*r**4 - 182*r**4.
3*r**2*(r - 4)*(r - 3)
Factor 0 + 119*l - 1/3*l**4 - 39*l**3 + 241/3*l**2.
-l*(l - 3)*(l + 1)*(l + 119)/3
Let z(j) = -2*j**2 + 12*j - 8. Let x be z(5). Factor 27 - 21*a**x - 8*a**2 + 20*a**2 - 78*a.
-3*(a + 9)*(3*a - 1)
Let u be (-8)/(-3)*(3 + 264/(-16)). Let b be (-588)/(-144) - (-3)/u. Suppose -t + 3/2*t**5 + 0 - 3/2*t**2 + 3/2*t**3 + 7/2*t**b = 0. Calculate t.
-1, 0, 2/3
Suppose 309/2 - 1/4*o**2 + 307/4*o = 0. Calculate o.
-2, 309
Solve 4/13*g**2 + 8/13 + 16/13*g**3 - 12/13*g**4 + 2/13*g**5 - 18/13*g = 0.
-1, 1, 4
Suppose -3*q = 2*v - 351, -60 = 4*v + q - 747. Factor -v*j**3 + 12*j**4 - 4*j**5 + 82*j**3 + 81*j**3.
-4*j**3*(j - 2)*(j - 1)
Let k be ((-1)/2)/(27/(-162)). Factor -13*s**5 - 5*s**3 + 4*s**4 - 9*s**4 + 7*s**k + 3*s**3 + 8*s**5 + 5*s**2.
-5*s**2*(s - 1)*(s + 1)**2
Let x(h) be the third derivative of -h**6/2520 + 4*h**5/105 - 32*h**4/21 + 104*h**3/3 + 3*h**2 - 7. Let j(l) be the first derivative of x(l). Factor j(o).
-(o - 16)**2/7
Let v(d) be the first derivative of -3*d**5/25 + 21*d**4/5 - 26*d**3/5 - 42*d**2/5 + 81*d/5 + 1785. Suppose v(y) = 0. Calculate y.
-1, 1, 27
Let c(b) = -64 - 109*b - 17 + 111*b. Let l be c(42). What is z in 2/5 - 3/5*z**2 + 1/5*z**4 + 1/5*z**l - 1/5*z = 0?
-2, -1, 1
Let g = 7277 + -7268. Let c(h) be the first derivative of g*h**2 - 45/8*h**4 - 14 - 12*h - 27/10*h**5 + 7*h**3. Find n such that c(n) = 0.
-2, -1, 2/3
Solve -2280*d**3 - 2*d**5 + 2346*d**3 + 6*d**4 - 35*d**2 - 35*d**2 + 0*d**5 = 0.
-5, 0, 1, 7
Suppose -20 = -2*v + 2*d, 0 = 2*d - 6 + 16. Factor 3*t**3 - 13*t + v*t**2 + t + 2*t**3 - 9*t + t - 20.
5*(t - 2)*(t + 1)*(t + 2)
Determine c so that -230*c**3 - 28*c + 84*c**2 + 77*c**2 - 693*c**2 - 108*c + 16 = 0.
-2, -2/5, 2/23
Factor 13231*b**4 + 12*b**2 - 6*b**3 - 6617*b**4 - 6*b**3 - 6618*b**4 + 28*b - 28 + 4.
-4*(b - 1)**2*(b + 2)*(b + 3)
Let t(w) be the first derivative of w**6/280 - w**5/20 + 3*w**4/28 - w**2 + 29*w + 1. Let l(j) be the second derivative of t(j). Suppose l(z) = 0. Calculate z.
0, 1, 6
What is k in -136070 + 4745*k**2 + 136520 + 45*k**4 - 1065*k**3 - 624*k - 2191*k = 0?
1/3, 5, 18
Let u(f) be the second derivative of -f**6/240 + 99*f**5/80 - 100*f**4 - 1250*f**3/3 + 1246*f. Let u(h) = 0. Calculate h.
-2, 0, 100
Find r such that -11/3*r**2 + 92/3*r - 20 + 17/3*r**4 - 2/3*r**5 - 12*r**3 = 0.
-3/2, 1, 2, 5
Let r(j) = -2 - 3*j**2 + 2 + 18*j**2 + 8 + 8*j. Let z be r(-2). What is u in 49*u**4 - 406*u**2 + 54*u**3 - z*u**4 + 82*u**2 + 648*u = 0?
0, 6
Let i = -2/28007 + 28019/168042. Suppose -5*l - 2*m = -10, -5*m - 2 = l - 4. Factor 0*h**3 - 1/6*h**4 + i*h**l + 0*h + 0.
-h**2*(h - 1)*(h + 1)/6
Let c = -4 + 9. Suppose 4*d - 2*f - 2 = 6, 5*d - 5*f - c = 0. Solve -9 - 1 + 25*