, 0
Let x(k) be the first derivative of -k**6/6 + 7*k**5/5 + 9*k**4/2 - 36*k**3 - 108*k**2 + 1474. Solve x(w) = 0 for w.
-3, -2, 0, 6
Let w(q) be the first derivative of 5*q**6/6 - 17*q**5 - 95*q**4/2 - 10*q**3/3 + 185*q**2/2 + 95*q - 1180. Factor w(p).
5*(p - 19)*(p - 1)*(p + 1)**3
Let u be 188020/170170 + (1 - 75/39). Let 82/11*s - 32/11*s**2 - 52/11 + u*s**3 = 0. Calculate s.
1, 2, 13
Let j = 115 - 127. Let i be 4/(j/(6 + -4) + 8). Find d such that -3/8*d - 9/4 + 3/8*d**i = 0.
-2, 3
Factor 10082/11 + 200/11*d**2 - 2840/11*d.
2*(10*d - 71)**2/11
Let x be 4/(-6)*-162*((-175)/20 + 9). Let j(z) be the third derivative of -5/48*z**4 + 0 + 0*z + x*z**2 - 1/6*z**3 + 1/80*z**6 + 1/30*z**5. Factor j(m).
(m - 1)*(m + 2)*(3*m + 1)/2
Let r(k) be the second derivative of -3*k**7/28 - 47*k**6/60 - 8*k**5/5 - k**4/2 + 1325*k. Find b such that r(b) = 0.
-3, -2, -2/9, 0
Let g(k) be the third derivative of -k**7/105 + 33*k**6/20 - 19*k**5/3 - 33*k**4 + 776*k**3/3 - 2640*k**2. Factor g(v).
-2*(v - 97)*(v - 2)**2*(v + 2)
Let p(i) be the third derivative of -i**7/4200 - 13*i**6/1800 + 34*i**3 - 108*i**2. Let n(y) be the first derivative of p(y). Find d, given that n(d) = 0.
-13, 0
Let k(s) = -3*s**2 - 4023*s - 1318702. Let h(p) = -12*p**2 - 16101*p - 5274807. Let q(o) = -5*h(o) + 21*k(o). What is x in q(x) = 0?
-663
Let r(a) = -5*a - 4. Let d be r(-2). Suppose 54 = d*y - 126. Let -80*u**2 - 5*u**5 - 10 - y*u**4 + 5*u**5 + 45*u + 70*u**3 + 5*u**5 = 0. Calculate u.
1, 2
Suppose -197*n + 556 = -232. Determine u, given that 32 - 25/3*u**n + 496/3*u**2 - 145/3*u**3 + 460/3*u = 0.
-8, -2/5, 3
Let b be 71/21 + (-740)/222. Let t(f) be the second derivative of 0*f**2 - b*f**4 + 0 + f + 0*f**3 + 1/70*f**5. Determine i so that t(i) = 0.
0, 2
Factor -165*x + 595*x + 4366*x + 4*x**2 + 3849444 + 3052*x.
4*(x + 981)**2
Let f(g) be the third derivative of -9/160*g**6 + 0*g - 3*g**3 + 1/40*g**7 - 129*g**2 + 0 + 25/8*g**4 - 27/40*g**5. Suppose f(o) = 0. What is o?
-3, 2/7, 2
Let s(b) be the second derivative of -b**5/70 + 5*b**4/14 - 16*b**3/7 - 64*b**2/7 + 126*b. Factor s(t).
-2*(t - 8)**2*(t + 1)/7
Let n be ((-3)/(-2))/(-1*4/(-8)). Let v = 11 - n. Factor 3 - 17*b - 9 + v*b + 3*b**3.
3*(b - 2)*(b + 1)**2
Suppose 17*l = -807 + 23689. Let v = l - 1343. Find r, given that -5/2*r**2 + 11/3*r - 2 + 3/4*r**v - 1/12*r**4 = 0.
2, 3
Let y(z) be the first derivative of 169/6*z**4 + 1/90*z**6 + 12*z**3 + 0*z - 13/15*z**5 + 34 + 0*z**2. Let p(j) be the third derivative of y(j). Factor p(b).
4*(b - 13)**2
Factor 3/4*l**3 + 153/2*l - 159/4*l**2 + 0.
3*l*(l - 51)*(l - 2)/4
Let l(k) = -33*k**2 + 1545*k + 469. Let z(f) = 11*f**2 - 515*f - 160. Let n(r) = -12*l(r) - 34*z(r). Factor n(v).
2*(v - 47)*(11*v + 2)
Let d(v) = -45*v**3 + 6625*v**2 - 239860*v - 110. Let y(a) = 5*a**3 - 736*a**2 + 26651*a + 12. Let z(r) = 6*d(r) + 55*y(r). Suppose z(o) = 0. What is o?
0, 73
Let w(j) be the third derivative of -j**6/1140 - 263*j**5/285 + 7921*j**2. Let w(z) = 0. Calculate z.
-526, 0
Let p(o) be the first derivative of -11/10*o**5 + 13/6*o**3 - 1/3*o**6 - 1/8*o**4 + 5/4*o**2 + 51 - o. Determine r, given that p(r) = 0.
-2, -1, 1/4, 1
Let j(y) be the second derivative of -3*y**5/100 - 2*y**4 + 87*y**3/10 + 189*y**2/5 + 2889*y. Suppose j(n) = 0. What is n?
-42, -1, 3
Let a(j) be the second derivative of 0 + 7/12*j**4 - 2*j**2 + 1/2*j**3 - 11*j. Let t(c) = 3*c**2 + c - 2. Let y(h) = 2*a(h) - 5*t(h). Factor y(b).
-(b - 2)*(b + 1)
Solve -95/4*f**2 - 15/4*f + 0 + 95/4*f**4 + 15/2*f**5 - 15/4*f**3 = 0.
-3, -1, -1/6, 0, 1
Let z be (-44)/198 - (-376)/(-9). Let m be (z/(-15) - 2)/(50/50). Solve 8/5*w**3 - 6/5 + 2/5*w**4 + m*w**2 - 8/5*w = 0.
-3, -1, 1
Let j(u) be the second derivative of -u**4/48 + 5*u**3/12 - 9*u**2/8 - 2*u + 1560. Determine y, given that j(y) = 0.
1, 9
Let v(d) = -5*d**2 - 652*d + 1731. Let i be v(-133). Factor 3/8*r**3 + 3 + 15/4*r**i + 51/8*r.
3*(r + 1)**2*(r + 8)/8
Let w(f) be the second derivative of -f**5/4 - 255*f**4/2 - 2000*f**3 - 11920*f**2 - 24*f - 19. Factor w(g).
-5*(g + 4)**2*(g + 298)
Let a(w) be the first derivative of -5177717*w**4/14 - 119716*w**3/7 - 2076*w**2/7 - 16*w/7 + 1172. Factor a(f).
-2*(173*f + 2)**3/7
Suppose -960*x - 561 = -993*x. Let g(d) be the first derivative of d**4 + 4*d - 4/3*d**3 - 2*d**2 + x. Factor g(c).
4*(c - 1)**2*(c + 1)
Suppose 2*o + 14*o - 352 = 0. Let k be -2*(-8)/o*18/72. Suppose -k*f**4 + 0*f + 0 + 4/11*f**3 + 0*f**2 = 0. What is f?
0, 2
Let u = 7741 - 7737. Let d(b) be the first derivative of 0*b**2 + 0*b - 3/2*b**3 - 39 - 3/10*b**5 - 3/2*b**u. Suppose d(c) = 0. Calculate c.
-3, -1, 0
Factor 64*p - 8/5*p**3 - 172/5*p**2 + 240 + 4/5*p**4.
4*(p - 5)**2*(p + 2)*(p + 6)/5
Let z(x) be the second derivative of 2*x**5/5 + 61*x**4 - 184*x**3/3 + 3055*x. Solve z(v) = 0.
-92, 0, 1/2
Suppose -1134 = -58*t + 31*t. Determine c, given that -244*c**3 + 556*c**2 - 882 + 16*c**4 - 5*c**5 + 18*c**4 - t*c + 0*c**4 + 4*c**4 + 3*c**5 = 0.
-1, 3, 7
Suppose 12 - 1/4*i**4 + 5/2*i**3 - 29/4*i**2 + 2*i = 0. What is i?
-1, 3, 4
Suppose -250/7*a**2 + 2/7*a**3 + 0 + 248/7*a = 0. What is a?
0, 1, 124
Let p(l) be the second derivative of 3*l**4/4 - 5*l**3/3 - 27*l - 3. Let k(f) = -f**2 + f. Let t(a) = 40*k(a) + 5*p(a). Let t(m) = 0. Calculate m.
0, 2
Let -604 - 182 - 786 + 268*g + 686 - 794 - 4*g**2 = 0. What is g?
7, 60
Suppose -261*s = -688 - 95. Let o(m) be the first derivative of 4/5*m**2 - 2/15*m**s - 8/5*m + 22. Solve o(u) = 0.
2
Let c = -174 + 176. Let -o + 4*o + 111*o**4 + 2*o**3 + 3*o - 80*o**3 - 36*o**5 - 3*o**c = 0. What is o?
-1/4, 0, 1/3, 1, 2
Let a(u) = u**2 + 8 + 3*u**2 - 2*u**2 + 7*u**2. Let k(o) = -16*o**2 + o - 15. Let i(w) = -7*a(w) - 4*k(w). Factor i(s).
(s - 2)**2
Let t be 204/60 + (-4)/10. Factor 23*l**4 + l**2 - 3*l**t + 23*l**3 + 22*l**4 - 32*l**4 - 6*l.
l*(l + 1)**2*(13*l - 6)
Suppose -4*m = -7*m - 30. Let o(u) = u**3 + 11*u**2 + 7*u - 20. Let j be o(m). Determine r so that -3*r + j + 0*r - 12 + 1 + 4*r**3 = 0.
-1/2, 1
Let f(v) be the first derivative of 9*v**5/25 + 597*v**4/10 - 537*v**3/5 - 198*v**2/5 + 804*v/5 + 100. Find n, given that f(n) = 0.
-134, -2/3, 1
Let y(w) be the second derivative of w**5/90 + 55*w**4/54 - 232*w**3/27 + 236*w**2/9 + 726*w. Factor y(i).
2*(i - 2)**2*(i + 59)/9
Let j(c) be the third derivative of -c**8/504 + c**7/126 + 7*c**6/360 - 11*c**5/90 + c**4/18 + 4*c**3/9 - 90*c**2 - 3*c. Let j(i) = 0. Calculate i.
-2, -1/2, 1, 2
What is i in -66/7*i**3 - 9/7*i**4 - 192/7 + 12*i**2 + 264/7*i = 0?
-8, -2, 2/3, 2
Suppose -o + 4*o - 6 = 0. Factor -12*n**4 + 2*n**3 + 3*n**o - 2*n + n**2 - 5*n**2 + 13*n**4.
n*(n - 1)*(n + 1)*(n + 2)
Let y(q) be the third derivative of -q**5/90 + 7*q**4/18 + 39*q**3 + 78*q**2 - 19*q. Factor y(g).
-2*(g - 27)*(g + 13)/3
Let b(h) be the second derivative of h**7/630 - 8*h**6/45 + 128*h**5/15 - h**4/12 + 18*h**2 + 219*h. Let r(q) be the third derivative of b(q). Factor r(m).
4*(m - 16)**2
Let y(g) be the third derivative of -g**8/84 - 2*g**7/105 + 9*g**6/10 + 77*g**5/15 + 37*g**4/3 + 16*g**3 - 6684*g**2. Factor y(c).
-4*(c - 6)*(c + 1)**3*(c + 4)
Let y be 195/(-100)*-10*12/72 - -3. Let s(b) be the first derivative of -y*b**4 - b**5 + 0*b - 10*b**2 - 40/3*b**3 + 8. Factor s(h).
-5*h*(h + 1)*(h + 2)**2
Let a(l) be the first derivative of -86 + 1/9*l**2 + 1/27*l**3 + 0*l. Find b, given that a(b) = 0.
-2, 0
Find h such that 4/3*h**3 - 58/3 - 125/3*h**2 + 263/3*h = 0.
1/4, 2, 29
Let z(f) be the third derivative of 11/144*f**4 + 99*f**2 + 5/36*f**3 + 0 + 0*f + 7/360*f**5 + 1/720*f**6. What is d in z(d) = 0?
-5, -1
Let y(v) be the third derivative of v**7/490 + 9*v**6/40 + 177*v**5/70 + 173*v**4/14 + 228*v**3/7 - 4*v**2 - 13. Solve y(p) = 0 for p.
-57, -2
Let s = 1389/22 + -645/11. Determine d, given that 3/2*d**5 + 6*d**4 + 0*d + 0*d**2 + s*d**3 + 0 = 0.
-3, -1, 0
Factor 0 - 1/8*l**3 - 1/8*l**2 + 15/4*l.
-l*(l - 5)*(l + 6)/8
Suppose h = 3*h + 5*g - 161, -2*h - 4*g + 164 = 0. Solve 11 - 36 - 5*u**4 + 9 - 150*u**2 - 92*u - 9*u**4 - h*u**3 = 0.
-4, -1, -2/7
Let h = -580 + 601. Let -1452*k**3 - h*k**2 - 6*k + 736*k**3 + 728*k**3 = 0. Calculate k.
-1/4, 0, 2
Factor 404/5 - 2/5*d**2 + 198/5*d.
-2*(d - 101)*(d + 2)/5
Let d = 244519/2080 - 1528/13. Let i(u) be the second derivative of d*u**5 - 13*u - 3/8*u**2 + 0 - 1/8*