*4 - 7/20*z**5 - 11/6*z**v + z**2 + z. What is i in l(i) = 0?
2/7, 1
Let f(t) be the second derivative of -t**4/3 + 44*t**3/3 - 192*t**2 + 14*t + 12. Find s such that f(s) = 0.
6, 16
Suppose -3*r**2 + 0*r - r - 15*r**3 + 35*r**3 - 19*r**3 + 3 = 0. Calculate r.
-1, 1, 3
Let m(a) be the third derivative of -1/70*a**7 + 0 + 7/20*a**5 - 3*a**3 + 44*a**2 + 0*a + 1/8*a**4 - 1/40*a**6. Find s, given that m(s) = 0.
-3, -1, 1, 2
Find i, given that 0 + 5*i**2 + 0 - 32*i + 122*i = 0.
-18, 0
Let s = -25 - -15. Let l = s - -16. Solve j**2 + j**2 + 2*j + l*j - 4*j = 0.
-2, 0
Let 30*w**2 - 68*w**3 + 2*w**2 + 64*w**3 - 48*w = 0. Calculate w.
0, 2, 6
Let g(f) = 2*f - 29. Let w be g(13). Let o be 45/(-63) - ((3 - 1) + w). Factor -o*m**2 - 4/7 - 6/7*m.
-2*(m + 1)*(m + 2)/7
Suppose -12*o = h - 8*o + 8, h - 3*o = 13. Let y(w) be the third derivative of 7*w**2 - 1/40*w**6 + 1/70*w**7 + 0*w + 0*w**h + 0*w**5 + 0 + 0*w**3. Factor y(t).
3*t**3*(t - 1)
Solve -20*i + 49*i - 7*i**2 - 23*i - 6*i**3 - i**4 + 8 = 0 for i.
-4, -2, -1, 1
Let l(p) = p**3 - p. Let u be l(1). Let t be (-1148)/(-2009) + ((-4)/56)/(2/8). Factor 2/7*m - t*m**5 + 0*m**3 - 4/7*m**2 + u + 4/7*m**4.
-2*m*(m - 1)**3*(m + 1)/7
Let y be 16/6 + (34 - 34) - 0. Factor y*f - 2/3*f**3 - 4/3*f**2 + 16/3.
-2*(f - 2)*(f + 2)**2/3
Let l(a) be the first derivative of -a**6/3240 + a**5/1080 + a**4/36 - 5*a**3/3 + 7. Let t(s) be the third derivative of l(s). Solve t(u) = 0 for u.
-2, 3
Suppose 2*u + 2*u = 5*i - 27, 3*i + 3 = -4*u. Factor 2*t**3 + t - 6*t**2 - 2*t**i + 2*t**4 - 5*t.
2*t*(t - 2)*(t + 1)**2
Suppose -3*r - 19 = -63*u + 62*u, u + 2*r = -6. Determine h, given that 0 + 10/3*h**3 + 8/9*h**5 - 26/9*h**u - 14/9*h**2 + 2/9*h = 0.
0, 1/4, 1
Let j(i) be the second derivative of -2/65*i**5 + 19/39*i**3 - 26*i - 8/39*i**4 + 0 - 5/13*i**2. Factor j(x).
-2*(x + 5)*(2*x - 1)**2/13
Let i = -4836 + 8190. Let o = i + -36556/11. Suppose 8/11 + o*c**2 + 104/11*c = 0. Calculate c.
-2/13
Factor 2/9*w**5 - 4/9*w - 2/9*w**4 + 0 + 10/9*w**2 - 2/3*w**3.
2*w*(w - 1)**3*(w + 2)/9
Let g(c) = 2*c + 4*c**4 - 3*c - c**2 + 0*c - 3*c**4. Let k(j) = 7*j**4 - j**3 - 9*j**2 - j - 2. Let o(m) = 6*g(m) - k(m). Suppose o(f) = 0. Calculate f.
-2, 1
Find m such that 0*m**2 - 10*m - 10 - 16*m + 38*m - 3*m**2 + m**2 = 0.
1, 5
Suppose 17*u + 1182 = 214*u. Factor u*b - 15/2*b**2 + 3*b**3 - 3/2.
3*(b - 1)**2*(2*b - 1)/2
Let x(r) be the second derivative of 243*r**5/70 + 9*r**4/7 + 4*r**3/21 + 35*r**2/2 - 42*r. Let i(d) be the first derivative of x(d). Solve i(h) = 0 for h.
-2/27
Let g = 1201/1462 - -3/1462. Factor g*j**2 + 6/17*j + 2/17*j**4 + 10/17*j**3 + 0.
2*j*(j + 1)**2*(j + 3)/17
Let z(t) be the second derivative of -t**5/4 + t**4/12 - t**3/3 - 4*t**2 + t. Let a(y) = -2*y**3 - y - 3. Let j(b) = 8*a(b) - 3*z(b). What is d in j(d) = 0?
-2, -1, 0
Suppose -5*v - 5*w + 30 = 0, 5*v - 6*v = -2*w + 6. Suppose -6*t - t + 14 = 0. Let 0 - m**t - 1 + 3 - m**v = 0. What is m?
-1, 1
Let w be 2 - (-4)/(-5) - 140/(-175). Let o(q) be the second derivative of 0*q**3 - 3/40*q**5 + 0 + 0*q**4 + 0*q**2 + w*q. Suppose o(z) = 0. What is z?
0
Let d(v) be the third derivative of 0*v - 1/44*v**4 + 1/33*v**3 + 0 + 13*v**2 + 1/110*v**5 - 1/660*v**6. Factor d(c).
-2*(c - 1)**3/11
Factor 95 + 79*h**2 + 57*h**2 - 5*h**3 + 185*h - 51*h**2.
-5*(h - 19)*(h + 1)**2
Let c(k) be the third derivative of -k**8/110880 - k**7/27720 - k**5/15 + 14*k**2. Let i(l) be the third derivative of c(l). Factor i(j).
-2*j*(j + 1)/11
Factor 4/3*x**4 - 28*x**3 + 0*x - 88/3*x**2 + 0.
4*x**2*(x - 22)*(x + 1)/3
Let i(w) = 54*w**2 + 12*w - 5. Let d(v) = -27*v**2 - 6*v + 3. Suppose 3*t = -0*t - 9. Let x(k) = t*i(k) - 5*d(k). Factor x(c).
-3*c*(9*c + 2)
Let a(v) be the third derivative of 7/60*v**4 - 1/150*v**5 - 2/5*v**3 + 10*v**2 + 0*v + 0. Determine r so that a(r) = 0.
1, 6
Let i = 1764 - 1761. Factor 1/7*y - 1/7*y**2 - 1/7*y**i + 1/7.
-(y - 1)*(y + 1)**2/7
Let k(q) be the second derivative of 9*q**5/16 + 271*q**4/8 + 1233*q**3/2 + 243*q**2 - 818*q. Suppose k(j) = 0. Calculate j.
-18, -2/15
Let k be (-2)/20*((5 - -5) + -15). Let n(v) be the third derivative of 1/20*v**5 + 0 + 0*v + 4*v**2 + 1/8*v**4 - 1/40*v**6 - k*v**3. Find z such that n(z) = 0.
-1, 1
Suppose -6*s - 60 = -s. Let b be -5 - (s/18 - 5). Factor 2/3*g**2 + 0 + b*g.
2*g*(g + 1)/3
Let s(y) be the second derivative of -y**8/10080 + y**7/540 - 2*y**6/135 + y**5/15 + 11*y**4/3 - 2*y + 3. Let m(t) be the third derivative of s(t). Factor m(g).
-2*(g - 3)*(g - 2)**2/3
Let z = 2185 - 2181. Factor -12/7*w**2 + 3/7*w**z + 9/7*w**3 + 0 + 0*w.
3*w**2*(w - 1)*(w + 4)/7
Let k(d) be the third derivative of d**8/1176 - 11*d**7/735 - 5*d**6/84 - 13*d**5/210 + 238*d**2. Factor k(z).
2*z**2*(z - 13)*(z + 1)**2/7
Suppose -2*x + 5 = 3*l - 12, 4*x - 16 = 0. Let v(u) be the first derivative of 2*u**l + 3*u + 70*u**2 + 7 - u**3 - 73*u**2. Factor v(t).
3*(t - 1)**2
Let c = 794 - 792. What is b in -2*b**2 - 4/3*b + c*b**4 + 2/3*b**5 + 0 + 2/3*b**3 = 0?
-2, -1, 0, 1
Let v(o) be the third derivative of o**7/1440 + o**6/960 - 11*o**4/24 + 4*o**2. Let z(n) be the second derivative of v(n). Factor z(w).
w*(7*w + 3)/4
Let b(f) be the second derivative of f**7/504 - 5*f**6/72 + 3*f**5/8 - 11*f**4/4 + 31*f. Let m(u) be the third derivative of b(u). Suppose m(i) = 0. What is i?
1, 9
Let f(r) = -r**3 - 9*r**2 + 2*r + 20. Let z be f(-9). Suppose -9*v**2 - 2*v + 0*v - 8*v + 4*v**z + 15 = 0. What is v?
-3, 1
Suppose -9*j + 6 = -12. Let k(v) be the first derivative of -6*v + 2*v**j + 3 + 2/3*v**3. Determine z so that k(z) = 0.
-3, 1
Let l be (-273)/(-28)*(1/(-3))/(-1). Find i such that 4*i - 1 + 17/4*i**4 - 11/4*i**3 - l*i**2 - 5/4*i**5 = 0.
-1, 2/5, 1, 2
Let k = 560 - 3916/7. Let -k*p + 2/7*p**2 + 2/7 = 0. Calculate p.
1
Solve -3/5*r**3 + 3/5*r - 24/5 + 24/5*r**2 = 0 for r.
-1, 1, 8
Let p(s) be the third derivative of 9*s**2 + 0*s + 0 + 0*s**3 - 1/30*s**4 - 1/150*s**5. Solve p(q) = 0.
-2, 0
Let i(h) be the second derivative of -h**9/1512 + h**8/1344 + h**7/504 - h**4 + 27*h. Let q(s) be the third derivative of i(s). Factor q(c).
-5*c**2*(c - 1)*(2*c + 1)
Let r(w) be the second derivative of 0 + 1/225*w**6 + 1/5*w**2 + 2/15*w**4 - 2/9*w**3 - 1/25*w**5 - 16*w. Find b, given that r(b) = 0.
1, 3
Solve -80/9*b + 2/9 - 82/9*b**2 = 0 for b.
-1, 1/41
Let f(j) be the third derivative of -j**8/504 + j**6/18 + 2*j**5/9 + 5*j**4/12 + 4*j**3/9 + 74*j**2. Factor f(m).
-2*(m - 4)*(m + 1)**4/3
Let f be 45/18 + 7 + -9. Determine u so that -10*u**2 + 21/2*u**4 - 17/4*u - 5/2*u**3 - f + 27/4*u**5 = 0.
-1, -1/3, -2/9, 1
Suppose -14 = -5*t + 4*c, -709*t + 711*t - 3*c - 7 = 0. Factor 0 + 2/9*x + 2/3*x**t.
2*x*(3*x + 1)/9
Let n(v) be the third derivative of -v**7/840 + v**6/288 - v**5/480 - 2*v**3 + 15*v**2. Let d(l) be the first derivative of n(l). Factor d(f).
-f*(f - 1)*(4*f - 1)/4
Let s(u) be the third derivative of u**6/20 + 17*u**5/8 - 67*u**4/16 - 11*u**3/2 + 68*u**2. Find b, given that s(b) = 0.
-22, -1/4, 1
Let l(m) = m**4 - 34*m**3 - 164*m**2 - 326*m - 245. Let d(o) = -4*o**4 + 67*o**3 + 329*o**2 + 653*o + 491. Let k(g) = 2*d(g) + 5*l(g). Solve k(c) = 0 for c.
-3
Let x(i) be the first derivative of i**7/840 - i**6/480 + 11*i**2 - 21. Let s(u) be the second derivative of x(u). Factor s(z).
z**3*(z - 1)/4
Let w(h) = -4*h**2 + 7*h - 4. Let d(r) = r**2 - r + 1. Let j = 104 + -101. Let t(v) = j*w(v) + 15*d(v). Factor t(l).
3*(l + 1)**2
Let s(k) be the third derivative of k**7/1890 - k**6/540 + k**4/108 - k**3/54 - 2*k**2 + 18*k. Factor s(y).
(y - 1)**3*(y + 1)/9
Suppose -9*h + 10*h = -3*r + 16, -3*r - 5*h + 32 = 0. Let b(m) be the second derivative of 2/3*m**3 - m**2 + 0 + 4*m - 1/6*m**r. Factor b(j).
-2*(j - 1)**2
Let r(b) be the first derivative of -19/16*b**4 - 33/40*b**5 - 1/8*b**3 + 0*b + 20 + 1/8*b**2. Suppose r(w) = 0. Calculate w.
-1, -1/3, 0, 2/11
Let i be 3 - 16/((3 - 0) + -4). Suppose 0 = 2*p + 2*x - 14, 2*p - i = -x - 2*x. Suppose 0 - 2/3*t**4 + 2/3*t**p - 2/9*t**3 - 2/9*t + 4/9*t**5 = 0. What is t?
-1, 0, 1/2, 1
Let w(n) be the first derivative of -n**4/24 - 37*n**3/18 - 30*n**2 - 54*n + 11. Factor w(k).
-(k + 1)*(k + 18)**2/6
Factor -3/2*u**4 - 3/2 - 3*u**3 + 3/2*u**5 + 3*u**2 + 3/2*u.
3*(u - 1)**3*(u + 1)**2/2
Let r be 1/26 - (-540)/1170. Determine n so that 1/2*n**4 + 0*n 