?
650/7
Let s(h) be the third derivative of h**5/30 + 1213*h**4/12 + 3*h**2 + 786*h - 1. Factor s(o).
2*o*(o + 1213)
Suppose -7*w + 721 = -441. Factor -5*a**3 + 4 + w + 95*a - 214*a**2 + 134*a**2.
-5*(a - 2)*(a + 1)*(a + 17)
Suppose 12 - 20 = -2*j + 4*y, 2*j - 9 = 5*y. Let u(t) be the second derivative of 2/15*t**3 + 0 - 1/30*t**4 - 1/5*t**j + 9*t. Suppose u(x) = 0. What is x?
1
Let a(u) be the first derivative of u**6/12 - 17*u**5/20 + 3*u**4/16 + 41*u**3/12 - 5*u**2/8 - 6*u + 737. Suppose a(g) = 0. Calculate g.
-1, 1, 3/2, 8
Suppose -2*q - 570 - 388 = 0. Let n = -477 - q. Let -1/9 + 0*b + 1/9*b**n = 0. What is b?
-1, 1
Let q(v) = -416*v**3 - 576*v**2 - 164*v - 20. Let g(z) = 138*z**3 + 192*z**2 + 55*z + 7. Suppose 3*k - 363 = -387. Let y(u) = k*g(u) - 3*q(u). Factor y(l).
4*(l + 1)*(6*l + 1)**2
Find c, given that -86/11*c - 380/11 - 2/11*c**2 = 0.
-38, -5
Let y = 155 + -143. Let b be y/8 - (-70)/(-84). Suppose 2/3*o**3 + 0*o**4 - b*o**5 + 0*o**2 + 0 + 0*o = 0. Calculate o.
-1, 0, 1
Let i(f) be the third derivative of -f**8/1680 + f**7/175 + 7*f**6/600 - 4*f**2 - 93*f. Suppose i(z) = 0. Calculate z.
-1, 0, 7
Let v(y) = 3*y**2 + 18*y - 6. Suppose 0 = 28*f + 7*f - 385. Let d(x) = 5*x**2 + 33*x - 11. Let u(w) = f*v(w) - 6*d(w). Factor u(b).
3*b**2
Suppose 4*u - 58 = 12*h - 22, -2*u = -h - 23. Determine d, given that 24 + 3/2*d**2 - u*d = 0.
4
Let f(a) be the first derivative of 44 + 0*a - a**4 + 16*a**2 - 8/3*a**3. Suppose f(c) = 0. What is c?
-4, 0, 2
Factor -11/3 - 65/6*k + 1/2*k**2.
(k - 22)*(3*k + 1)/6
Let h(n) = n**2 + 4*n + 6. Let s be h(-7). Suppose j - 3*u = s, 62 = 2*j - 0*j + 2*u. Factor -8*q**3 - 7 - q + j*q**2 - 23*q - 6 + 5.
-2*(q - 2)**2*(4*q + 1)
Let j(z) be the second derivative of -z**6/12 + 6*z**5 - 75*z**4/8 - 235*z**3/6 + z + 2641. Solve j(o) = 0.
-1, 0, 2, 47
Suppose 0 = -3*f + 8*f + 30. Let n be f*(-3)/(-12)*-10. Factor 10*o + 5*o + 2*o**2 - 3 + n + o**2.
3*(o + 1)*(o + 4)
Let y = -1824/73 + 196947/511. Factor -171/7*b**2 + y + 2349/7*b + 3/7*b**3.
3*(b - 29)**2*(b + 1)/7
Let t(j) = 13*j + 25 + 5*j**2 - 2*j**2 - 19. Let g be t(-4). Let 0*u + g*u**2 - 199*u**3 + 200*u**3 + u = 0. Calculate u.
-1, 0
Let x(k) be the third derivative of -k**8/23520 - k**7/980 + 59*k**4/8 + 144*k**2 - k. Let u(v) be the second derivative of x(v). Let u(w) = 0. Calculate w.
-9, 0
Let h(j) be the third derivative of -1/8*j**6 + 79/20*j**5 - 38/5*j**4 + 22*j**2 + 0 + 6*j**3 - j. Solve h(d) = 0 for d.
2/5, 15
Let z(n) be the first derivative of -2*n**3/33 - 492*n**2/11 - 121032*n/11 + 1085. Find r such that z(r) = 0.
-246
Let l(f) = f**5 + f**4 - 1. Let w(o) = -12*o**5 + 132*o**4 - 358*o**3 + 302*o**2 - 60*o - 2. Let i(p) = -4*l(p) + 2*w(p). Determine d, given that i(d) = 0.
0, 2/7, 1, 3, 5
Let r(c) = -4*c**3 + 12*c**2 - 26*c - 144. Let o(p) = -13*p**3 + 32*p**2 - 79*p - 432. Let t(g) = 2*o(g) - 7*r(g). Solve t(d) = 0 for d.
-2, 6
Let w(t) be the first derivative of 271 + 4/3*t**3 + 260*t**2 + 16900*t. Factor w(x).
4*(x + 65)**2
Let b(z) be the first derivative of 1/4*z**4 + 32*z**2 - 213 - 60*z - 19/3*z**3. Factor b(d).
(d - 15)*(d - 2)**2
Let j be (56/(-40) - -2)*5/2 + 441/(-1134). Solve -j*a - 7/9*a**2 + 1/9*a**4 + 0 + 4/9*a**3 = 0 for a.
-5, -1, 0, 2
Let r(k) = -k**2 + 15*k - 45. Let i be r(8). Suppose -25 = -4*u + 15. Factor i*t + 8*t**5 - u*t**2 - 4*t**5 + 4*t + t**5 + 10 - 20*t**3.
5*(t - 2)*(t - 1)*(t + 1)**3
Let m(c) be the third derivative of 0*c**3 + 0 + 0*c - 11/6*c**4 + 203*c**2 + 1/15*c**5. Find s, given that m(s) = 0.
0, 11
Let g(x) be the first derivative of -x**4/60 + 3*x**3/5 - 81*x**2/10 + 77*x - 15. Let l(d) be the first derivative of g(d). Factor l(s).
-(s - 9)**2/5
Let c be (-2)/8 - (-126)/24. Let b be 5/c*3 - -3. Determine r, given that -42*r**3 + b*r + 36*r**2 - 4 - 33*r**4 + r**5 + 1 + 35*r**5 = 0.
-1, -1/3, 1/4, 1
Let c(v) be the third derivative of 1/20*v**6 - 1/42*v**7 + 1/30*v**5 + 1/336*v**8 - 8*v**2 + 0*v + 1 - 7/24*v**4 + 1/2*v**3. Factor c(k).
(k - 3)*(k - 1)**3*(k + 1)
Factor -41706 - 46*o - 3*o**2 + o**2 + 41482.
-2*(o + 7)*(o + 16)
Let k be (9/(-3) - 452)/2. Let h = k - -228. Find w, given that -3/2 + 1/2*w - h*w**3 + 3/2*w**2 = 0.
-1, 1, 3
Let v(g) be the third derivative of -g**5/160 + 115*g**4/64 + 119*g**3/4 - 3767*g**2. Determine h, given that v(h) = 0.
-4, 119
Let o(x) be the second derivative of 42*x - 2/15*x**5 - 3/4*x**2 + 0 - 11/12*x**3 - 5/9*x**4. Factor o(h).
-(h + 1)*(4*h + 3)**2/6
Suppose 5*p = 4*j - j + 7, -4*p = 2*j - 32. Let m be (-315)/1785*595/(-42). Let -1/4*x**4 + m*x**3 + 11/2*x - 7/4 - j*x**2 = 0. Calculate x.
1, 7
Let w(j) be the second derivative of 0*j**2 + 7*j**3 - 2 - 49*j - 3/20*j**5 - 5/4*j**4. Suppose w(h) = 0. Calculate h.
-7, 0, 2
Let z = -3/204709 + 7369545/1432963. Factor 6/7*x + 0 - 3*x**4 - z*x**3 - 9/7*x**2.
-3*x*(x + 1)**2*(7*x - 2)/7
Suppose 385 = 4*h + 373. Factor 68*x**3 + 4*x**5 - 12*x**4 - 13*x**4 + 24*x - 44*x**2 - 24*x**2 - h*x**4.
4*x*(x - 3)*(x - 2)*(x - 1)**2
Find z, given that -8*z + 2/3*z**2 + 0 = 0.
0, 12
Let t(y) be the second derivative of -y**7/126 + 17*y**6/90 - 103*y**5/60 + 89*y**4/12 - 16*y**3 + 18*y**2 - 3190*y. What is p in t(p) = 0?
1, 3, 6
Let k(b) be the second derivative of -1/21*b**7 + 1/5*b**5 - 339*b - 9*b**4 + 0 + 27*b**2 + 9/5*b**6 - 1/3*b**3. What is m in k(m) = 0?
-1, 1, 27
Factor 2130119 + 3*q**2 - 383612 + 848*q + 507*q + 3223*q.
3*(q + 763)**2
Suppose 0 = -203*t + 7 - 5 - 2. Let y(x) be the third derivative of 0*x + 5/32*x**4 - 29*x**2 + 3/40*x**5 + t*x**3 + 1/160*x**6 + 0. Factor y(v).
3*v*(v + 1)*(v + 5)/4
Suppose -144 = -19*p + 3*p. Factor -31793*l**3 - 7*l**2 - p*l**2 + 31789*l**3.
-4*l**2*(l + 4)
Let p be ((-18780)/336 + 56)/((0 - 1)/(-4)). What is h in p*h**4 + 3/7*h**3 + 0 + 0*h - 6/7*h**2 = 0?
-2, 0, 1
Let k(l) be the second derivative of 4 - 7*l - l**5 + 5/2*l**2 - 5/12*l**4 + 10/3*l**3. Let k(i) = 0. What is i?
-1, -1/4, 1
Let c = 27654 - 27651. Let i(z) be the second derivative of -2/15*z**6 - 24*z - 3/5*z**5 + 0 + 0*z**2 + 2*z**c + 1/3*z**4. Factor i(h).
-4*h*(h - 1)*(h + 1)*(h + 3)
Let u be ((-2730)/(-6))/((-154)/(-24122)). Let v = u + -71217. Factor -128/11*o + 8/11 + v*o**3 + 442/11*o**2.
2*(o + 1)*(17*o - 2)**2/11
Suppose 0 = -23*n + 2390 + 1796. Let w = 184 - n. Factor 0 - 1/2*k**w + 2*k.
-k*(k - 4)/2
Let m = -236 + 287. Suppose -m = -4*b - 39. Factor -1/7*d**b - 2/7*d**5 + 0 + 0*d**2 - 3/7*d**4 + 0*d.
-d**3*(d + 1)*(2*d + 1)/7
Let i be (-5 - -5 - 1) + (-9)/(-3). Factor -17 + 25 + 28 + 50*j - 6*j**i.
-2*(j - 9)*(3*j + 2)
Let p be (-3012)/(-180) + 1043/(-447). Factor 78/5 - 6/5*x**2 - p*x.
-6*(x - 1)*(x + 13)/5
Find y, given that 109 + 8*y**4 - 80*y**2 - 585*y + 129*y**3 + 277*y - 13*y**3 - 229 = 0.
-15, -1, -1/2, 2
Factor -x**3 - 4*x - 293*x**2 - 367 + 5*x - 156 + 816.
-(x - 1)*(x + 1)*(x + 293)
Let a(w) be the first derivative of -5/6*w**3 - 76 - 7/10*w**5 + 0*w - 1/12*w**6 + 0*w**2 - 11/8*w**4. Factor a(x).
-x**2*(x + 1)**2*(x + 5)/2
Let p be (-14568)/5463*(1 + (-10)/4). Let n(i) be the third derivative of -1/300*i**5 - 4 - 4*i**2 + 1/20*i**p + 0*i + 0*i**3. Find a, given that n(a) = 0.
0, 6
Let c be 682/217 + 7/(-49). Let j(u) be the second derivative of 0 + 4/39*u**c - 1/78*u**4 + 0*u**2 + 23*u. Factor j(f).
-2*f*(f - 4)/13
Factor 5598/5*w**2 - 5234136/5 + 521172*w + 3/5*w**3.
3*(w - 2)*(w + 934)**2/5
Let j(w) = -w**2 - 7*w - 3. Let c be j(-6). Let g(s) = -s**2 + 29*s - 102. Let d be g(14). Determine i so that -d + 23*i + 135 + i - c*i**2 = 0.
-1, 9
Let m = -692/19 + 13305/418. Let q = m - -56/11. Suppose f**4 + 0*f**2 + 0*f + 0 + q*f**5 + 1/2*f**3 = 0. What is f?
-1, 0
Suppose -j = 4*w - 24, -7*j - 2*w + 84 = -2*j. Suppose 14*s + 26 = j*s. Suppose s + 19 + 32*g**2 - 160*g - 2*g**4 + 56*g**4 + 168*g**3 = 0. Calculate g.
-2, 2/9, 2/3
Suppose 0 = -79*v + 75*v + 12. Find k such that -335 + 5*k**v - 5*k**4 + 335 = 0.
0, 1
Let a be ((-16)/(-10) - -11)/((-2)/80). Let v = a + 510. Let -v*t**3 + 0*t**2 + 6*t**4 - 3/2*t**5 + 0*t + 0 = 0. What is t?
0, 2
Let w(c) be the third derivative of c**5/100 + c**4/40 - 9*c**3 - 46*c**2 + 5*c. Determine o, given that w(o) = 0.
-10, 9
Suppose 81 = 3*q - 714. Let m be q*5/15 + 2/(-6). Factor m + 10*p - 45*p**2 + 35*p**3 - 88.
5*p*(p - 1)*(7*p - 2)
Let l(j) = -4*j**5 + 4*j**4 + 12*j**3 -