+ 1/2*f**4 + 0*f**3 + 0*f + 1/4*f**5 - 7/40*f**6 - 1/35*f**7. Solve y(x) = 0.
-4, -1/2, 0, 1
Let k(m) be the second derivative of m**4/6 + 161*m**3/3 - 3920*m. Let k(h) = 0. Calculate h.
-161, 0
Let v(l) be the second derivative of -l**5/70 - 82*l**4/21 + l**3/21 + 164*l**2/7 - 4243*l. Factor v(f).
-2*(f - 1)*(f + 1)*(f + 164)/7
Let a = -322645 + 1290635/4. Factor -a + 5/2*v**2 + 45/4*v.
5*(v - 1)*(2*v + 11)/4
Let s = -37 + 32. Let v be 3/30*s*(-1 - 1). Factor -4*j**3 + 4*j + 15*j**2 - v - 3 - 11*j**2.
-4*(j - 1)**2*(j + 1)
Suppose 628*g - 300*g - 3012 = -60*g - 365*g. Suppose -j**g - 1/2*j**3 + 1/2*j**5 + j**2 + 0 + 0*j = 0. What is j?
-1, 0, 1, 2
Suppose -20 = 5*i - 6*i - 3*z, i + 5*z - 20 = 0. Let d be i/24 + 84/(-144). Determine t, given that 1 - d*t**2 + 3/4*t = 0.
-1, 4
Let y(l) be the third derivative of 7*l**6/30 + 88*l**5/3 + 7099*l**4/6 + 3844*l**3 - 3*l**2 - 107*l. Factor y(b).
4*(b + 31)**2*(7*b + 6)
Let -44/7*j**3 - 48/7*j + 0 + 2/7*j**5 - 88/7*j**2 - 2/7*j**4 = 0. What is j?
-2, -1, 0, 6
Let v(j) be the first derivative of -j**5/180 + 4*j**4/9 - 128*j**3/9 - 23*j**2/2 + 1. Let u(h) be the second derivative of v(h). Factor u(s).
-(s - 16)**2/3
Suppose 26 = y + 24. Let j(i) = 51*i**2 + 915*i + 396. Let o(n) = 13*n**2 + 229*n + 98. Let x(k) = y*j(k) - 9*o(k). Find l such that x(l) = 0.
-15, -2/5
Let y be 12 - (-2 + -3 + (-132)/(-55))*-2. Factor 2/5*z**2 + 12 + y*z.
2*(z + 2)*(z + 15)/5
Let q(w) = 42*w + 550. Let o(g) = 38*g + 215. Let v be o(-6). Let j be q(v). Factor 2*f**j + 0*f - 4/3*f**5 + 0*f**3 + 0 - 2/3*f**2.
-2*f**2*(f - 1)**2*(2*f + 1)/3
Suppose -1048677*f = -1048621*f - 112. Factor -19/2*u**2 + f*u**4 + 23/2*u - 4*u**3 - 3.
(u - 3)*(u + 2)*(2*u - 1)**2/2
Let n be (-220)/(-7700)*14/12. Let x(j) be the second derivative of -4/3*j**3 - n*j**6 - 1/42*j**7 + 20*j + 1/3*j**4 + 0 + 0*j**2 + 3/10*j**5. Factor x(d).
-d*(d - 2)*(d - 1)*(d + 2)**2
Let v(w) be the first derivative of w**6/1800 - 7*w**5/75 + 98*w**4/15 - 20*w**3/3 - 29. Let s(k) be the third derivative of v(k). Factor s(p).
(p - 28)**2/5
Let u = -1 + 3. Suppose -39*o + 11555 = -32827. Factor 2 - i + i + 1136*i**2 - o*i**u.
-2*(i - 1)*(i + 1)
Let c(d) be the third derivative of d**6/300 + 41*d**5/50 + 201*d**4/4 - 49379*d**3/15 - 6364*d**2. Factor c(l).
2*(l - 11)*(l + 67)**2/5
Let g(x) = -5*x**4 + 20*x**3 - 227*x**2 + 612*x + 6. Let v(z) = z**4 - z**3 + 2*z**2 - 2*z - 1. Let a(b) = -g(b) - 6*v(b). What is k in a(k) = 0?
-24, 0, 5
Suppose 12*t + 157 = 61. Let q be (t/(-3))/((-66)/(-6) + -9). Let -1/6*m**3 - q*m + 5/6*m**2 + 2/3 = 0. What is m?
1, 2
Let k = 12/9227 + 891059/3044910. Let i = k - 7/55. Suppose 1/3*z + 1/6*z**4 + 0*z**2 - 1/3*z**3 - i = 0. What is z?
-1, 1
Let n(m) be the second derivative of m**7/126 - 7*m**6/90 + 13*m**5/60 + m**4/12 - m**3 - 1789*m. Let n(k) = 0. What is k?
-1, 0, 2, 3
Let q be (-89)/7 + 12/(-42) - -4. Let u be (2 + 0)/(5 + (q - -10)). Determine l so that -u*l**3 + 0*l - 4/3 + l**2 = 0.
-1, 2
Factor 6*m**4 + 6 - 19 + 19*m**2 + 13 - 35*m**2 + m**5 + 12*m - 3*m**3.
m*(m - 1)**2*(m + 2)*(m + 6)
Let s = 239/6 - 77/2. Let j = 34/1481 - -1379/4443. Find k, given that -j*k**2 + 5/3*k - s = 0.
1, 4
Solve -571*s**3 - 849*s**2 + 803*s - 56*s**3 - 514*s - 502*s + 9*s**4 = 0 for s.
-1, -1/3, 0, 71
Let o be 8/(-14) - (-83)/((-1162)/(-43)). Factor -1/2*w**3 - o*w**2 + 13/2*w - 7/2.
-(w - 1)**2*(w + 7)/2
Let y(t) be the second derivative of 6*t**5/5 + 35*t**4/4 + 18*t**3 + 27*t**2/2 + 2488*t. What is c in y(c) = 0?
-3, -1, -3/8
Let p(i) be the third derivative of i**6/24 + 7*i**5/4 + 30*i**4 + 800*i**3/3 - 1838*i**2. Find w such that p(w) = 0.
-8, -5
Factor 108/5*s**2 + 2/5*s**4 + 0 - 6*s**3 + 0*s.
2*s**2*(s - 9)*(s - 6)/5
Let u(y) be the second derivative of -y**6/160 - 3*y**5/80 - 3*y**4/32 - y**3/8 - 33*y**2/2 + 32*y. Let r(a) be the first derivative of u(a). Factor r(x).
-3*(x + 1)**3/4
Let k(v) be the first derivative of 3*v**3/4 + 201*v**2/4 + 66*v - 3584. Find p such that k(p) = 0.
-44, -2/3
Let k(i) = i**3 - 6*i**2 - 6*i - 4. Suppose 5*f - 38 + 3 = 0. Let l be k(f). Factor 3*r**3 + 0*r**3 - 2*r**3 - 4*r**l.
-3*r**3
Let j = -979 + 984. Let m(v) be the second derivative of -12*v + 0 + 3/50*v**6 + 1/70*v**7 + 9/100*v**j + 0*v**3 + 1/20*v**4 + 0*v**2. Factor m(g).
3*g**2*(g + 1)**3/5
Let t(b) be the second derivative of 1/9*b**3 + 5/126*b**7 + 29/60*b**5 + 0*b**2 + 196 + 5/12*b**4 - 2*b + 7/30*b**6. Determine c so that t(c) = 0.
-2, -1, -1/5, 0
Suppose -593*b = -590*b - 120. Let h be -1 + 56/b + 2. Determine y so that -18/5 + h*y - 2/5*y**2 = 0.
3
Let t be (0 - 7)*3*4/(-28). Factor -9*z**3 + 4*z**3 + 2*z**2 - 17*z - 12*z**2 - t*z - 15*z**2.
-5*z*(z + 1)*(z + 4)
Let w(t) be the first derivative of -455*t + 41 + t**3 + 55/2*t**2. Let d(i) = i**2 + 28*i - 227. Let u(j) = -10*d(j) + 4*w(j). Factor u(g).
2*(g - 15)**2
Suppose -3/2*j**4 + 192 + 12*j**2 + 9*j**3 - 144*j = 0. What is j?
-4, 2, 4
Suppose -16/7*r**3 - 8*r**2 + 96/7*r + 2*r**4 - 2/7*r**5 + 0 = 0. What is r?
-2, 0, 2, 3, 4
Suppose 105 - 15 = 2*f. Let n be 795/900 + 3/(f/(-2)). Find r such that 2 + 11/2*r + n*r**3 + 17/4*r**2 = 0.
-4, -1, -2/3
Let l = -41852 - -41856. Solve -55/3*t**3 - 92/3*t - l - 51*t**2 = 0.
-2, -3/5, -2/11
Let o(f) = f**2 - 2*f - 10. Let p be o(-7). Let j = -50 + p. Let -19*n**3 - 90*n**4 + 36*n**2 + 24*n**j + 16*n - 4*n - 38*n**3 + 75*n**5 = 0. What is n?
-2/5, 0, 1
Factor 309/2 + 154*h - 1/2*h**2.
-(h - 309)*(h + 1)/2
Find s, given that -102/5 - 7/10*s**2 - 361/10*s = 0.
-51, -4/7
Let i(m) = -48*m**4 + 180*m**3 + 1928*m**2 - 172*m - 1940. Let b(z) = 13*z**4 - z**3 + z**2 - z + 1. Let p(k) = 4*b(k) + i(k). Suppose p(j) = 0. Calculate j.
-22, -1, 1
Let n(m) be the third derivative of -2*m**6/105 - m**5/35 - 2056*m**2. Factor n(x).
-4*x**2*(4*x + 3)/7
Let s(y) be the third derivative of -y**7/630 - y**6/36 - 23*y**5/180 - 7*y**4/36 - 4987*y**2. Factor s(m).
-m*(m + 1)*(m + 2)*(m + 7)/3
Let v = 6603 + -33006/5. Let s(c) be the first derivative of -v*c**2 + 1/10*c**4 + 2*c + 6 + 2/5*c**3. Find r, given that s(r) = 0.
-5, 1
Let d = -1633119/7 - -232187. Let s = 1116 + d. Factor -6/7*c + s + 6/7*c**2 - 2/7*c**3.
-2*(c - 1)**3/7
Let n(y) be the second derivative of 0*y**3 - 1/42*y**7 - 2 - 1/6*y**6 + 0*y**2 - y + 3/4*y**4 - 3/20*y**5. Factor n(l).
-l**2*(l - 1)*(l + 3)**2
Let -30 - 5*o**2 + 43 - 625 - 1212 + 104 - 870*o = 0. Calculate o.
-172, -2
Let b(h) = -2*h**3 - 2*h**2 + 2*h. Let m(z) = -8*z**3 + 22*z**2 + 70*z. Let k(g) = -3*b(g) + m(g). Find p, given that k(p) = 0.
-2, 0, 16
Let z(l) be the second derivative of l**8/2940 - l**7/735 + 30*l**3 - 50*l. Let a(r) be the second derivative of z(r). Factor a(x).
4*x**3*(x - 2)/7
Let z(h) be the third derivative of 9 + 0*h**3 + 0*h**4 + 1/360*h**6 + 0*h + 1/30*h**5 - 3*h**2. Factor z(x).
x**2*(x + 6)/3
Let s = 392 - 391. Let v be 17/20 + s - (-110)/275. Factor 0 - 27/8*g**2 + 3/8*g**4 + 1/4*g**3 - v*g.
g*(g - 3)*(g + 3)*(3*g + 2)/8
Let t = 1554/19 - 26114/323. Factor t + 4/17*a - 2/17*a**2.
-2*(a - 4)*(a + 2)/17
Let l(y) be the first derivative of y**4 - 112*y**3/3 + 392*y**2 - 2523. Factor l(n).
4*n*(n - 14)**2
Let w(u) be the first derivative of -2*u**5/35 - 3*u**4 - 4881. Factor w(i).
-2*i**3*(i + 42)/7
Let a = 1368613/364964 + 1/182482. Factor -1/2*q - a + 1/4*q**2.
(q - 5)*(q + 3)/4
Let w(h) be the third derivative of h**5/20 - 64*h**4 + 32768*h**3 + 311*h**2. Factor w(a).
3*(a - 256)**2
Let h = -18044 - -2598349/144. Let y(n) be the third derivative of 5/18*n**3 + h*n**4 - 20*n**2 - 1/120*n**5 + 0 + 0*n. Solve y(p) = 0 for p.
-2/3, 5
Let c = 341 + -334. Let 2*w + 0*w**5 + 5*w**5 - c*w**4 + 4*w**5 + 7*w**2 - 11*w**3 = 0. Calculate w.
-1, -2/9, 0, 1
Determine m, given that 10*m - 51*m + 53*m - 7*m + 64*m + 3*m**2 + 360 = 0.
-15, -8
Let d = -30/67 + 1051/402. Let r(f) be the second derivative of -d*f**4 - f**5 + 0 + 20*f**3 + 9*f - 36*f**2 - 1/15*f**6. Find n such that r(n) = 0.
-6, 1
Let n(l) = -2*l**5 + 4*l**3 - 2*l**2 - l. Let w(z) = z**5 + 204*z**4 + 3856*z**3 + 13054*z**2 + 12287*z. Let x(f) = -n(f) + w(f). Find p, given that x(p) = 0.
-32, -2, 0
Let j(s) be the third derivative of -7*s**6/24 + 4075*s**5/12 - 988915*s**4/8 + 141135*s**3/2 - 171*s**2 + 19. Find b, given that j(b) = 0.
1/7, 291
Suppose -11 = -v - 6. Sup