2*y**2 + m - 3*y.
(y - 3)**2/2
Let s(g) be the second derivative of -g**7/441 - g**6/315 + 17*g**5/210 - 19*g**4/126 - 16*g**3/63 + 20*g**2/21 - 314*g. Let s(l) = 0. Calculate l.
-5, -1, 1, 2
Let b(u) be the second derivative of -1/8*u**3 - 1/80*u**5 + 16*u + 1/8*u**2 + 0 + 1/16*u**4. Find n, given that b(n) = 0.
1
Find c, given that -12/5*c**4 + 51/5*c**3 + 18/5*c**2 + 0 + 0*c - 9/5*c**5 = 0.
-3, -1/3, 0, 2
Let j = 307/5742 - -2/957. Let a(g) be the second derivative of -2*g + 0*g**2 + j*g**3 + 1/36*g**4 + 0. Factor a(r).
r*(r + 1)/3
Let f = -9071 + 9071. What is x in -3/5*x**5 + 3/5*x**3 + 0 + 0*x + 0*x**2 + f*x**4 = 0?
-1, 0, 1
Let c(l) be the third derivative of 0 + 0*l + 0*l**3 + 25*l**2 + 1/6*l**5 + 0*l**4 + 5/336*l**8 - 1/24*l**6 - 1/21*l**7. Let c(z) = 0. Calculate z.
-1, 0, 1, 2
Let y(x) be the third derivative of 7*x**6/24 - 94*x**5/3 + 8325*x**4/8 + 1215*x**3 + 6*x**2 + 3. Suppose y(l) = 0. Calculate l.
-2/7, 27
Let b(y) be the third derivative of -y**6/60 + 7*y**5/30 - 11*y**2 + 3. Determine c so that b(c) = 0.
0, 7
Let f(v) = v**3 + v**2 + 7*v - 9. Let b(n) be the second derivative of -1/2*n**2 + 0 + 1/6*n**3 - 2*n. Let q(r) = -24*b(r) + 3*f(r). Find y such that q(y) = 0.
-1, 1
Let i be 6/4 + (81/2)/(-27). Let d(j) be the third derivative of 0 + i*j + 1/24*j**4 - 3/40*j**5 + 10*j**2 + 0*j**3. Factor d(o).
-o*(9*o - 2)/2
Let g = -22074 + 44149/2. Solve 0*o + 0 - 5/2*o**2 - g*o**3 = 0.
-5, 0
Let a(y) = 2*y**2 - 2*y - 2*y + 2 - 3*y**2 - 5*y. Let i be a(-9). Suppose -2*l**5 - 10*l**5 + 2*l**5 - 4*l**i - 25*l**4 + l**4 - 18*l**3 = 0. What is l?
-1, -2/5, 0
Suppose 4*n = 3*c + 9605, 3*n - 5*c = -2*n + 12000. Let u be n/(-315) + 8 - (-2)/(-14). Factor -2 - 14/9*a**2 + 10/3*a + u*a**3.
2*(a - 3)**2*(a - 1)/9
Let j = -38 + 113. Let i be -1 + (-35)/j*-3. Factor -i + 0*h + 2/5*h**2.
2*(h - 1)*(h + 1)/5
Let d be (-9)/(-14) + 11/693*-9. Find l such that -3/2*l**3 - l + 0 + 1/2*l**4 + d*l**5 - 5/2*l**2 = 0.
-1, 0, 2
Let f = -61 + 36. Let r = f - -28. Factor 283*d + 2*d**3 - 48*d**2 - 91*d + 2*d**r - 256.
4*(d - 4)**3
Let k(l) = -22*l**5 + 110*l**3 + 180*l**2 + 80*l - 12. Let w(f) = 9*f**5 - 44*f**3 - 72*f**2 - 32*f + 5. Let d(i) = -5*k(i) - 12*w(i). Solve d(c) = 0.
-2, -1, 0, 4
Suppose 16*v - 6 = 13*v. Let g(z) be the first derivative of v*z - 1/2*z**4 + 1/6*z**6 + 1 + 8/3*z**3 - 7/2*z**2 - 2/5*z**5. Factor g(a).
(a - 1)**4*(a + 2)
Suppose -6*s - 3*s + 45 = 0. Solve -s*r**4 + 12*r**2 + 13*r**2 - 10*r**2 - 10*r = 0 for r.
-2, 0, 1
Let z(f) be the first derivative of 3*f**5/5 + 3*f**4/2 - 11*f**3 - 18*f**2 + 10. Let z(g) = 0. What is g?
-4, -1, 0, 3
Factor 260507 + 42849*x - 4*x**3 + 18312 + 549299 + 157409 + 621*x**2 + 7*x**3.
3*(x + 69)**3
Let v(c) be the second derivative of -c**8/6720 + c**7/630 - c**6/240 + 11*c**4/6 - 12*c. Let f(u) be the third derivative of v(u). Factor f(w).
-w*(w - 3)*(w - 1)
Suppose -24*d + 15 = -19*d. Factor -59*a**2 + 4*a**4 - a**2 + 4 - 68*a - 12*a**d - 28.
4*(a - 6)*(a + 1)**3
What is g in -6700*g - 4718*g**2 - 898*g**3 - 1940*g - 185*g**4 - 6082*g**2 - 5*g**5 - 1442*g**3 = 0?
-12, -1, 0
Let v(x) = -2*x - 20. Let u be v(-11). Factor 5*g**4 + 20*g - 13*g**3 - 20*g**3 + 8*g**3 + 23*g**u + 7*g**2 - 40.
5*(g - 2)**3*(g + 1)
Let x be ((-1)/(-12))/(7/(-84)*-66). Let q(g) be the second derivative of 0 + 10*g + 0*g**2 + x*g**4 + 1/33*g**3. Let q(n) = 0. What is n?
-1, 0
Let r(c) be the third derivative of -c**6/480 + 13*c**5/80 + 31*c**4/24 + 7*c**3/2 - 765*c**2. Factor r(q).
-(q - 42)*(q + 1)*(q + 2)/4
Suppose -t + 22 = -41*b + 45*b, -t - 2 = -2*b. Let y(g) be the second derivative of 0 + 1/30*g**t + 0*g**5 + 0*g**2 + 0*g**3 + 9*g + 0*g**4. Factor y(j).
j**4
Let q(r) be the first derivative of -r**3/6 - 5*r**2 - 32*r - 246. Let q(p) = 0. Calculate p.
-16, -4
Let v be (-260)/(-44) + (-2 - 4)/(-66). Determine q so that 4*q - v - 2/3*q**2 = 0.
3
Let d = -6347/1692 - 5/188. Let n = 77/18 + d. Suppose n*o + 0 - 1/4*o**2 - 1/4*o**3 = 0. Calculate o.
-2, 0, 1
Suppose -24*r**5 + 4 + 11*r**5 + 3*r**5 - 8*r**2 - 4*r + 6*r**5 + 8*r**3 + 4*r**4 = 0. What is r?
-1, 1
Let a(k) be the first derivative of -k**4/20 - k**3/5 + 9*k**2/5 - 132. Find l, given that a(l) = 0.
-6, 0, 3
Let c(q) be the third derivative of q**7/1365 + q**6/195 - 2*q**5/65 - 8*q**4/39 + 64*q**3/39 - q**2 - 3*q. Factor c(r).
2*(r - 2)**2*(r + 4)**2/13
Let o(j) be the first derivative of -7/18*j**4 + 4/3*j**2 + 80/27*j**3 + 15 + 0*j. Factor o(p).
-2*p*(p - 6)*(7*p + 2)/9
Let h(w) be the first derivative of -w**3/3 + 147*w**2 - 21609*w + 366. Factor h(j).
-(j - 147)**2
What is n in -48*n - 24*n**3 + 135848*n**2 - 135632*n**2 - 219*n**3 = 0?
0, 4/9
Let n(j) be the third derivative of j**5/90 - 49*j**3/9 + 80*j**2. Factor n(s).
2*(s - 7)*(s + 7)/3
Let u be 1/(-1)*0/2. Suppose 63 + 22 = 17*k. Factor 9*b**k - 3*b**5 + 9*b**3 + 3*b**3 - 3*b**2 + u*b**3 - 15*b**4.
3*b**2*(b - 1)**2*(2*b - 1)
Let d = 102 - 104. Let a be d*44/(-20) + -4. Factor 0*b - a*b**3 + 0 - 2/5*b**5 - 4/5*b**4 + 0*b**2.
-2*b**3*(b + 1)**2/5
Let s(i) be the second derivative of 0*i**2 + 0 + 0*i**3 + 1/140*i**5 + 0*i**4 + 20*i. Let s(w) = 0. What is w?
0
Let f = -35 - -28. Let k(h) = -151*h**3 - 31*h**2 + 22*h + 3. Let w(d) = -50*d**3 - 10*d**2 + 7*d + 1. Let i(m) = f*w(m) + 2*k(m). Suppose i(x) = 0. What is x?
-1/4, 1/3
Let h be (-836)/24 - 3/18. Let w = h - -39. Find n, given that 1/4*n**w + 1/4 + 0*n + 0*n**3 - 1/2*n**2 = 0.
-1, 1
Let w(v) = -v**4 + 2*v**3 - v**2 + v + 1. Let m(s) = -25*s**4 - 82*s**3 + 142*s**2 - 49*s - 8. Let c(j) = -2*m(j) - 22*w(j). Suppose c(l) = 0. Calculate l.
-3, 1/6, 1
Determine d, given that d**2 - 8/5 + 3/5*d**4 - 2*d + 2*d**3 = 0.
-2, -4/3, -1, 1
Suppose 5*t - 25 = -40, -i + 4*t + 14 = 0. Let b(p) be the first derivative of 2/45*p**5 + 2/9*p**i + 1 - 2/9*p**3 + 0*p + 0*p**4. Suppose b(q) = 0. What is q?
-2, 0, 1
Let w = 2646 + -2644. Solve -3/7*t**3 - 9/7*t**w + 0 - 6/7*t = 0.
-2, -1, 0
Let b(x) be the first derivative of -x**5 + 11*x**4/4 + 16*x**3/3 + 11*x + 29. Let u(a) = a**4 - 2*a**3 - 3*a**2 - 2. Let j(g) = 2*b(g) + 11*u(g). Factor j(f).
f**2*(f - 1)*(f + 1)
Let b(n) = -4*n**2 + 20*n - 3. Let r(t) = -4*t**2 + 20*t - 2. Let o(v) = -2*b(v) + 3*r(v). Factor o(a).
-4*a*(a - 5)
Let z be (0 - 1656/826) + 2*1. Let w = z - -429/3304. Factor -3/8*c**2 + w*c**3 - 1/8 + 3/8*c.
(c - 1)**3/8
Suppose 4*v + 2*k = 85 - 15, 0 = -5*v + 5*k + 110. Let n = v + -17. Factor 4*y**2 - 9*y**4 + 0 - n + 7*y**4.
-2*(y - 1)**2*(y + 1)**2
Let v(s) be the third derivative of -7*s**6/160 - s**5/40 + 7*s**4/32 + s**3/4 - 99*s**2. Find c such that v(c) = 0.
-1, -2/7, 1
Let t(n) be the first derivative of -5*n**6/6 + 8*n**5 + 25*n**4/2 - 40*n**3/3 - 45*n**2/2 + 199. Suppose t(s) = 0. Calculate s.
-1, 0, 1, 9
Factor 5*f**3 + 13*f**4 + 31*f**3 + 22*f**4 - 40*f**2 - 12*f - 26*f**4 + 7*f**4.
4*f*(f - 1)*(f + 3)*(4*f + 1)
Let d = -1 - -13. Let n be (-6)/d*(-400)/18. Let n*b**3 + 50/9*b**4 + 0 - 8/9*b**2 - 16/9*b = 0. Calculate b.
-2, -2/5, 0, 2/5
Let m(u) be the third derivative of -u**8/168 + u**7/21 - 3*u**6/20 + 7*u**5/30 - u**4/6 - 847*u**2. Solve m(t) = 0.
0, 1, 2
Suppose -3*h - 2 = -8. Factor -4*j**2 + 48 - j + 25*j + 7*j**h.
3*(j + 4)**2
Let b(s) be the second derivative of -s**5/70 + s**3/7 + 2*s**2/7 - 96*s. Factor b(l).
-2*(l - 2)*(l + 1)**2/7
Let t(m) be the third derivative of -m**5/6 + m**4 - 4*m**3/3 + 93*m**2. Factor t(f).
-2*(f - 2)*(5*f - 2)
Let g(q) = 2*q + 34. Let i be g(-13). Let o(h) = -3*h**2 + 25*h - 3. Let m be o(i). Solve -8/11*w**4 - 2/11*w**m + 0*w - 4/11*w**2 - 10/11*w**3 + 0 = 0.
-2, -1, 0
Let t(h) = -2*h**2 + 5*h + 21. Let s be t(7). Let i be (-2)/(-7) + -8*2/s. Determine f so that 4/3*f**3 - 2/3*f**5 - i*f + 0 + 0*f**2 + 0*f**4 = 0.
-1, 0, 1
Let a = 1/1245 + 6221/4980. Factor -a*s**3 - 1/4*s**5 + 0 - 1/2*s**2 - s**4 + 0*s.
-s**2*(s + 1)**2*(s + 2)/4
Find i such that 74 + 15*i**4 - 194 - 306*i + 345*i**2 + 558*i**3 + 12*i**4 = 0.
-20, -1, -1/3, 2/3
Factor 0 + 0*o + 31/2*o**3 - 63/4*o**2 + 1/4*o**4.
o**2*(o - 1)*(o + 63)/4
Let g(m) = 50*m**2 + 370*m + 350. Let r(t) = 7*t**2 + 53*t + 50. Let o(b) = 2*g(b) - 15*r(b). Factor o(n).
-5*(n + 1)*(n + 10)
Let d(b) be the first derivative of b**4/16 + 57*b**3/4 + 9747*b**2/8 + 185193*b/4 + 529. Factor d(h).
(h + 57)**3/4
Let w(u) =