 118*j - 1/5*j**2 = 0. What is j?
295
Let o(g) be the third derivative of -g**5/60 - 65*g**4/6 - 86*g**3 - 55*g**2 - 5*g. Factor o(y).
-(y + 2)*(y + 258)
Let r(o) be the second derivative of -2 - 4*o - 1/3*o**4 + 0*o**2 - 2*o**3. Factor r(k).
-4*k*(k + 3)
Let w(k) be the first derivative of 8/9*k**3 - 17/6*k**4 - 11/15*k**5 + 128/3*k - 40 + 80/3*k**2 - 1/18*k**6. Suppose w(g) = 0. Calculate g.
-4, -1, 2
Let r(h) = -3*h**3 + 8*h**2 - 61*h - 234. Let v(g) = 11*g**3 - 23*g**2 + 185*g + 702. Let m(u) = 7*r(u) + 2*v(u). Suppose m(p) = 0. What is p?
-13, -3, 6
Let c(l) = -5*l**5 - 120*l**4 - 310*l**3 - 250*l**2 + 10. Let v(n) = 2*n**5 + 40*n**4 + 103*n**3 + 83*n**2 - 3. Let x(s) = 3*c(s) + 10*v(s). Factor x(r).
5*r**2*(r + 2)**2*(r + 4)
Let o(b) be the first derivative of 2*b**3/3 - 167*b**2 - 1897. Factor o(x).
2*x*(x - 167)
Let a(j) be the third derivative of j**7/210 - 71*j**6/480 + 5*j**5/24 + 17*j**4/96 - 1324*j**2. Solve a(m) = 0.
-1/4, 0, 1, 17
Let j(z) be the third derivative of z**6/600 + 293*z**5/300 + 193*z**4/40 - 291*z**3/10 + 7643*z**2. Factor j(n).
(n - 1)*(n + 3)*(n + 291)/5
Let b(j) be the first derivative of 0*j**3 + 0*j**2 - 8/5*j**5 + 0*j - 46 - 2/3*j**6 - j**4. Factor b(z).
-4*z**3*(z + 1)**2
Let h = -1633 - -1633. Let u be h/3*(-2)/12. Factor -36/7*b**2 + 45/7*b**3 - 12/7*b + u - 12/7*b**4.
-3*b*(b - 2)**2*(4*b + 1)/7
Let y(g) be the first derivative of 2/7*g**2 + 143 + 17/14*g**4 - 38/21*g**3 + 0*g. Factor y(k).
2*k*(k - 1)*(17*k - 2)/7
Let p(i) be the second derivative of i**8/30240 - i**7/1260 + 22*i**4/3 - 65*i. Let u(b) be the third derivative of p(b). Suppose u(a) = 0. Calculate a.
0, 9
Let c(h) be the first derivative of -8*h**6/15 + 322*h**5/25 - 142*h**4/5 - 266*h**3/5 + 54*h**2/5 - 8916. What is m in c(m) = 0?
-1, 0, 1/8, 3, 18
Let h be (((-17)/((-255)/(-6)))/((-2)/(-129) - 0))/(-1). Factor -261/5*j + 6/5*j**2 + h.
3*(j - 43)*(2*j - 1)/5
Let d(g) be the first derivative of -5*g**4/4 + 75*g**3 + 5*g**2/2 - 225*g - 1190. Solve d(n) = 0 for n.
-1, 1, 45
Let a(h) be the third derivative of -11*h**5/15 + 79*h**4/6 - 28*h**3/3 + 1028*h**2. Factor a(b).
-4*(b - 7)*(11*b - 2)
Let v(o) be the second derivative of -o**3/2 + 59*o**2/2 + 2*o - 26. Let w be v(19). Determine a so that 2/3*a**2 + 4/3*a - w = 0.
-3, 1
Let k(t) = t**2 - 22*t + 88. Let l be k(21). Factor -l*o - 8 + 69*o + 20*o**2 - 38*o.
4*(o - 2)*(5*o + 1)
Let f(x) be the third derivative of -x**6/120 + 3*x**5/10 + 8*x**4 + 208*x**3/3 + 1731*x**2. Factor f(p).
-(p - 26)*(p + 4)**2
Suppose k + 5*l = 90 - 33, 4*l - 50 = -3*k. Factor -1372/3*c**4 + 280*c**k + 32/3 - 304/3*c - 196/3*c**3.
-4*(c + 1)*(7*c - 2)**3/3
Suppose -11*b + 164 + 34 = 0. Let z(j) be the first derivative of 30 - j**3 - b*j + 21/2*j**2. Factor z(a).
-3*(a - 6)*(a - 1)
Let z(k) be the third derivative of -k**8/28 + 12*k**7/35 - 31*k**6/32 - 31*k**5/80 + 6*k**4 - 11*k**3/2 - 127*k**2 + 14*k. Solve z(y) = 0 for y.
-1, 1/4, 2, 11/4
Let l be 16/(-64) + (621/(-12))/(-3). Let -3*j - 14*j + 22*j**2 + 2 + 10 - l*j = 0. Calculate j.
6/11, 1
Find t, given that -169*t**3 - 29/6*t**5 - 207/2*t + 287/6*t**4 - 27/2 + 243*t**2 = 0.
-3/29, 1, 3
Let z = -4266 + 6098. Suppose 4*l**4 + 1837*l**3 - 4*l + 8 - 12*l**2 - 3665*l**3 + z*l**3 = 0. What is l?
-2, -1, 1
Suppose -5*f = 5*b - 35, 0 = 2*b - b + 2*f - 11. Let s be ((-4)/b)/(-4)*(9 + -9). Solve s*o + 0*o**3 + 1/4*o**4 + 0 - 1/4*o**2 = 0.
-1, 0, 1
Let i(a) = a**3 - 3*a**2 - 6*a - 18. Let r be i(5). Find y such that -3*y - r*y - 18 - 14*y - y**2 = 0.
-18, -1
Suppose 145*w + 124838 = 127738. Solve 19/4*u**2 - 25 + 1/4*u**3 + w*u = 0 for u.
-10, 1
Let y be 264 + -4 + (-8)/(-2). Factor -23 - 935 - y - 70*o - o**2 - 3.
-(o + 35)**2
Let m be 4/21*(-23 - 3070). Let f = 590 + m. Determine c so that -4*c**2 - f*c**3 - 16/7 - 40/7*c = 0.
-2, -2/3
Let g = 391018 + -391006. Let 1/2*p**2 + 7*p + g = 0. Calculate p.
-12, -2
Let l(o) be the first derivative of 0*o - 1/60*o**4 - 21 - 2*o**2 + 2/15*o**3 - 1/150*o**5. Let x(c) be the second derivative of l(c). Factor x(v).
-2*(v - 1)*(v + 2)/5
Let w be (-5 + 3954/792)*24/(-30). Let y(s) be the second derivative of 1/55*s**5 + 0*s**4 - w*s**6 + 0*s**2 + 6*s + 0 + 0*s**3. Suppose y(v) = 0. Calculate v.
0, 2
Let b be ((-20)/4)/(-5) + 1. Let a = 141 + -84. What is l in -3*l**3 - 59*l**2 + a*l**b + 4*l**3 = 0?
0, 2
Let b(n) be the first derivative of 3*n**4/16 + 13*n**3/2 + 213*n**2/8 + 69*n/2 - 971. Let b(w) = 0. What is w?
-23, -2, -1
Let b = -5003 + 5006. Let z(s) be the first derivative of 2/15*s**b + 4/5*s**2 + 6/5*s + 21. Factor z(h).
2*(h + 1)*(h + 3)/5
Let h(r) = -43*r + 1333. Let c be h(31). Let m(p) be the third derivative of 10/3*p**3 + 0*p + c - 55/2*p**4 + 363/4*p**5 - 11*p**2. Find j such that m(j) = 0.
2/33
Let d be 5/1 - (35 + 5002/(-123)). Let d - 2/3*t**3 - 6*t**2 - 4*t = 0. Calculate t.
-8, -2, 1
Let b(r) be the second derivative of 0 + 9/2*r**2 - 6*r - 1/12*r**3 + 1/96*r**6 + 1/96*r**4 + 1/30*r**5. Let x(c) be the first derivative of b(c). Factor x(h).
(h + 1)**2*(5*h - 2)/4
Let f be ((-2)/(-28) + 1)/((-1278)/(-497)). Let d(a) be the first derivative of -1/2*a + 31 + 3/8*a**2 + f*a**3. Factor d(y).
(y + 1)*(5*y - 2)/4
Let n(q) be the third derivative of -1/15*q**6 - 1/35*q**7 + 0 + 1/30*q**5 + 2*q + 2/3*q**3 + 3/8*q**4 + 16*q**2 - 1/336*q**8. Factor n(j).
-(j - 1)*(j + 1)**3*(j + 4)
Let k(w) = w**2 + 3*w + 4. Let h be k(-4). Suppose m - r - h = -m, m = -3*r - 10. Factor -6*u**2 + 6 - 11 - 8*u + m + u**4.
(u - 3)*(u + 1)**3
Let p be (64/78 - ((-11)/4 + (-9362)/(-3224)))*24336. Factor -p*f**2 - 3/2 - 312*f.
-3*(104*f + 1)**2/2
Let g(a) = -a**3 + 2*a**2 + 5*a - 4. Let t(z) = -z + 1. Let q(f) = g(f) + 6*t(f). Let v be q(2). Determine y, given that v + 2/3*y + 20/3*y**2 + 50/3*y**3 = 0.
-1/5, 0
Let f(w) be the third derivative of -w**5/12 - 595*w**4/2 - 424830*w**3 + 3*w**2 - 316*w. Factor f(u).
-5*(u + 714)**2
Suppose 9*a - 11*a + 58 = -4*w, 3*w = 3*a - 84. Suppose a*m = 5*s + 24*m - 7, 0 = 2*s + 3*m - 7. Factor -8/5*v**s - v**3 - 1/5*v**4 + 0 - 4/5*v.
-v*(v + 1)*(v + 2)**2/5
Suppose 3*d + 13 = 5*r, -d - 3 = 2*d. Factor 23 + 4*a**3 + 4*a**r - 28*a + 1 - 4*a**2.
4*(a - 2)*(a - 1)*(a + 3)
Suppose t + 5*k = 55, 19*k - 410 = -5*t + 21*k. Factor -2*j**4 + t*j**3 - 73*j**3 + 3*j**4 - 5*j**2 - 75*j.
j*(j - 3)*(j + 5)**2
Suppose 12*r = 9*r + 15. Let p = 311203/21 + -103725/7. Suppose -2/3 + 34/3*a**2 - p*a**3 - 32/3*a**4 - 13/3*a + 17/3*a**r = 0. Calculate a.
-1, -2/17, 1
Let g(y) be the first derivative of -35/24*y**4 + 0*y**3 - 1/24*y**6 + 0*y - 2/3*y**5 + 41 - 7/2*y**2. Let i(d) be the second derivative of g(d). Factor i(r).
-5*r*(r + 1)*(r + 7)
Let c(o) be the first derivative of 2*o**3/3 - 582*o**2 + 169362*o - 884. Factor c(q).
2*(q - 291)**2
Let u(a) be the first derivative of -a**6/24 + 5*a**5/2 - 897*a**4/16 + 1700*a**3/3 - 2312*a**2 + 3699. Factor u(w).
-w*(w - 17)**2*(w - 8)**2/4
Let 27/7 - 15/7*c**2 + 9/7*c + 3/7*c**3 = 0. Calculate c.
-1, 3
Let t be 80*(-20)/(-150) - ((-57)/(-342))/((-2)/(-84)). Factor 8 - 1/6*a**2 + t*a.
-(a - 24)*(a + 2)/6
Let t(r) be the second derivative of -11*r**5/60 - 19*r**4/72 + 47*r**3/36 - r**2/2 - 2052*r. Factor t(y).
-(y - 1)*(y + 2)*(22*y - 3)/6
Let c(r) be the first derivative of r**5/330 + r**4/22 + 69*r**2 - 123. Let o(w) be the second derivative of c(w). Factor o(p).
2*p*(p + 6)/11
Let i(h) be the second derivative of 0*h**2 - 4*h + 3/7*h**3 + 1/42*h**4 + 23. Factor i(o).
2*o*(o + 9)/7
Let h be (-69)/(2/6*(-63)/14). Let l = h + -36. Determine y so that -33 - 5*y**2 + 33 + l*y = 0.
0, 2
Let c(p) be the first derivative of -p**4/20 + 9*p**3/10 + 33*p**2/5 - 73*p - 1. Let f(d) be the first derivative of c(d). Find y such that f(y) = 0.
-2, 11
Find p such that -97*p**3 + 1620 + 379*p**2 + 1581*p**2 + 3505527*p**4 - 3505523*p**4 - 3408*p - 79*p**3 = 0.
1, 15, 27
Let n be (-11)/(-1) - (47 + -40). Determine s, given that n*s**2 + 7 - 23 - 9*s + 1 - 11*s - 9 = 0.
-1, 6
Let p(q) be the first derivative of 2*q**3/3 + 811*q**2 + 4544. Factor p(h).
2*h*(h + 811)
Let z(p) be the third derivative of -p**6/120 + 743*p**5/20 - 1485*p**4/8 + 2227*p**3/6 + 4748*p**2. Factor z(r).
-(r - 2227)*(r - 1)**2
Let i = -3806 + 715. Let r be (1/(1 + 3))/(i/(-2248)). Factor -r*s**2 - 10/11*s + 12/11.
-2*(s - 1