 - 30/11*d**3 - 8/11*d + 14/11*d**4 = 0?
0, 1, 4
Factor -9*k**2 - 4*k**2 - 20*k - 3*k**2 - 10*k + 75 + 19*k**2.
3*(k - 5)**2
Let h(l) = 5*l**4 + 850*l**3 + 848*l**2 + 9*l + 3. Let g(u) = 5*u**4 + 850*u**3 + 847*u**2 + 6*u + 2. Let f(y) = 3*g(y) - 2*h(y). Find i, given that f(i) = 0.
-169, -1, 0
Let y(v) = 3*v**3 - 3*v**2 + 2*v - 4. Let o(s) = -s**3 + s + 3. Let u(x) = -4*o(x) - y(x). Let u(t) = 0. Calculate t.
-4, -1, 2
Let l(x) be the first derivative of -2*x**5/65 - 7*x**4/13 - 46*x**3/13 - 140*x**2/13 - 200*x/13 - 306. Factor l(d).
-2*(d + 2)**2*(d + 5)**2/13
Let m = 174/11 - 164/11. Suppose -4 + 22 = 9*l. Factor -2/11 - l*u**2 + m*u**3 + 14/11*u.
2*(u - 1)**2*(5*u - 1)/11
Let r(m) be the first derivative of 14*m**5/25 + 29*m**4/2 + 308*m**3/5 + 332*m**2/5 - 272*m/5 + 834. Determine z so that r(z) = 0.
-17, -2, 2/7
Let f(k) be the third derivative of -k**8/1848 - 4*k**7/1155 + k**5/33 + k**4/132 - 2*k**3/11 + 2*k**2 + 35*k. Determine t so that f(t) = 0.
-3, -2, -1, 1
Let g(j) = -10*j**2 - 2*j - 4. Let b be g(-1). Let r be (-1*(-2)/b)/((-2)/6). Solve -3/2 + r*x**2 + x = 0 for x.
-3, 1
Suppose 4*l - 421 + 4*l**3 + 421 - 8*l**2 = 0. What is l?
0, 1
Determine y so that 98*y - 30*y - 4*y**3 - 36*y**2 + 43*y + 25*y - 96 = 0.
-12, 1, 2
Let q(h) be the second derivative of -h**7/147 - 6*h**6/35 + 39*h**5/70 - 10*h**4/21 + 430*h. What is y in q(y) = 0?
-20, 0, 1
Suppose 0 = 3*b + 2 - 41. Factor -2*l**2 - b*l + 2*l**2 + l - 9 - 3*l**2.
-3*(l + 1)*(l + 3)
Factor 10/3*z**2 + 52/3*z + 64/3.
2*(z + 2)*(5*z + 16)/3
Let m(s) be the first derivative of -6*s**3/7 - 375*s**2/7 - 492*s/7 + 157. Factor m(i).
-6*(i + 41)*(3*i + 2)/7
Let s(m) = -2*m**2 - 18*m + 226. Let o be s(7). Factor -4/11*b**3 + 2/11*b**5 + 0*b + 0 + 2/11*b**4 + 0*b**o.
2*b**3*(b - 1)*(b + 2)/11
Let f(p) be the second derivative of -p**6/225 + 7*p**5/75 - 2*p**4/3 + 8*p**3/5 + 197*p. Factor f(o).
-2*o*(o - 6)**2*(o - 2)/15
Let g(u) be the third derivative of -u**7/70 - u**6/5 + u**5/20 + u**4 - 16*u**2. Solve g(n) = 0 for n.
-8, -1, 0, 1
Solve 0*v**2 - 5/2*v**3 + 65/2*v + 30 = 0 for v.
-3, -1, 4
Let n(s) be the second derivative of s**7/210 + s**6/30 + s**5/10 + s**4/6 + s**3/6 - 15*s. Let t(a) be the second derivative of n(a). Factor t(z).
4*(z + 1)**3
Let a = -496 + 13394/27. Let r = 287/135 + a. Let 2/5 - t - 4/5*t**3 - r*t**2 = 0. What is t?
-2, -1, 1/4
Factor 4/9 + 16/9*n + 7/9*n**4 + 25/9*n**2 + 19/9*n**3 + 1/9*n**5.
(n + 1)**3*(n + 2)**2/9
Let g(u) = u + 5. Let z be g(-5). Suppose 2*v + 7 - 13 = z. Determine h so that 6/5*h**2 + 6/5*h**v + 2/5*h**4 + 0 + 2/5*h = 0.
-1, 0
Let b(w) = -10*w**5 - 23*w**4 - 21*w**3 - w**2 + 19*w + 6. Let f(y) = 9*y**5 + 22*y**4 + 21*y**3 + y**2 - 18*y - 6. Let x(k) = 5*b(k) + 6*f(k). Factor x(d).
(d + 1)**3*(d + 2)*(4*d - 3)
Solve -4/7*o**2 + 2/7*o**4 - 2/7*o**5 + 4/7*o**3 + 2/7 - 2/7*o = 0 for o.
-1, 1
Let a(q) be the first derivative of -5*q**3/7 + 6*q**2/7 + 143. Factor a(j).
-3*j*(5*j - 4)/7
Let w(a) be the second derivative of -a**7/4620 - a**6/1980 + a**5/660 + a**4/132 + 3*a**3/2 + 21*a. Let z(l) be the second derivative of w(l). Factor z(h).
-2*(h - 1)*(h + 1)**2/11
Let v = -11138 + 11138. Suppose 0 - 10/9*c**4 + 2/9*c**5 + 2*c**2 + v*c + 2/3*c**3 = 0. Calculate c.
-1, 0, 3
Let c = 26 + -59. Let w = c + 39. Determine k so that 0*k**2 + 3/2*k**3 + 0 + 0*k + w*k**5 - 15/2*k**4 = 0.
0, 1/4, 1
Let h = 226 + -221. Let w(y) = -y**3 - 6*y**2 - 2*y - 12. Let a be w(-6). Solve a - 1/4*n + 3/4*n**h + 3/2*n**3 + 2*n**4 + 0*n**2 = 0.
-1, 0, 1/3
Let x(b) be the second derivative of b**7/112 + 11*b**6/80 + 141*b**5/160 + 97*b**4/32 + 6*b**3 + 27*b**2/4 - b + 17. Suppose x(v) = 0. What is v?
-3, -2, -1
Suppose -5*y - 10 = -d, -2*d - y + 5*y = -32. Let b = d - 59/3. Find x such that 2/3*x**2 - 2/3 - 1/3*x**3 + b*x = 0.
-1, 1, 2
Let h(g) = -2*g**2 - 23*g + 97. Let u(j) = j**2 + j + 1. Let q(y) = h(y) + 3*u(y). Let q(z) = 0. Calculate z.
10
Factor 2/9*d**2 + 0 + 2/9*d**3 - 2/9*d - 2/9*d**4.
-2*d*(d - 1)**2*(d + 1)/9
Let j(d) be the third derivative of -1/6*d**5 - 1/12*d**6 + 5/6*d**3 - 20*d**2 + 0*d + 5/24*d**4 + 5/336*d**8 + 1/42*d**7 + 0. Determine g so that j(g) = 0.
-1, 1
Suppose -6*n = -n + 25. Let m be n/(-4) - (-3 + 60/16). Factor 0 - m*f**2 + 0*f.
-f**2/2
Let b(i) be the second derivative of -i**5/30 + 2*i**4/9 - 4*i**3/9 + 2*i + 274. Factor b(a).
-2*a*(a - 2)**2/3
Let w be ((-264)/(-330))/((-2)/(-5)). Let j(k) be the first derivative of -6*k**w - 8/3*k**3 - 4*k + 12/5*k**5 + 2/3*k**6 + 8 + 2*k**4. Factor j(b).
4*(b - 1)*(b + 1)**4
Let z(c) be the first derivative of 2*c**3/3 - 9*c**2 - 20*c + 79. Solve z(v) = 0.
-1, 10
Let 18*u + 4*u + 25*u - 2*u + 50 - 5*u**2 = 0. What is u?
-1, 10
Let p = 160 - 155. Let m be -3 + 23/7 - 0. Factor 0 + 0*v**2 + 0*v**3 + 2/7*v**p + 0*v + m*v**4.
2*v**4*(v + 1)/7
Let c(j) be the third derivative of 9*j**7/35 + 41*j**6/30 + 14*j**5/5 + 5*j**4/2 + j**3/3 + 3*j**2 + 8*j. Factor c(u).
2*(u + 1)**3*(27*u + 1)
Let j be (0 - 0) + 2 + 2. Find t, given that -3*t**4 - 2*t**4 - 3*t**2 - t - 4*t**3 + j*t**4 + t**3 = 0.
-1, 0
Let y(d) be the first derivative of -7*d**5/30 + 19*d**4/12 + 2*d**3 - 7*d**2 + 20. Let w(g) be the second derivative of y(g). Factor w(b).
-2*(b - 3)*(7*b + 2)
Let z(v) be the third derivative of v**6/40 + 2*v**5/5 + 7*v**4/8 - 771*v**2. Let z(k) = 0. What is k?
-7, -1, 0
Determine d so that 4/9*d**4 - 4232/9*d + 0 + 1748/9*d**2 + 176/9*d**3 = 0.
-23, 0, 2
Let j(l) = l**3 - 7*l**2 + 8*l + 10. Let c be j(5). Let h(i) be the first derivative of 5 + c*i**3 + 0*i - 7/20*i**5 - 1/8*i**4 + 0*i**2. Factor h(k).
-k**3*(7*k + 2)/4
Let y(d) = 6*d**2 - 3*d + 12. Let c(w) = -3*w - 32. Let f be c(-8). Let x(i) = -10*i**2 + 4*i - 18. Let b(s) = f*y(s) - 5*x(s). Factor b(o).
2*(o - 1)*(o + 3)
Find w, given that 2/17*w - 38/17 + 38/17*w**2 - 2/17*w**3 = 0.
-1, 1, 19
Let k(c) = -c**2 - 10*c - 16. Let j be k(-7). Suppose j*n = -5*a + 25, -5*a - 2*n = -13 - 3. Determine v so that -4*v - 3 - 2 + a*v**2 - 1 = 0.
-1, 3
Suppose 4*f - 21 = -5. Let x(y) be the second derivative of 0*y**3 + 0 - 3/20*y**5 + 0*y**f + 0*y**2 + y. Find w, given that x(w) = 0.
0
Let v(w) = -5*w**3 + 4*w**2. Suppose 0 = 2*l + 9 + 3. Let c(d) = 56*d**3 - 44*d**2. Let y(h) = l*c(h) - 68*v(h). What is t in y(t) = 0?
0, 2
Let l = -1723 - -1723. Let m(r) be the second derivative of l*r**2 + 0*r**4 + 0 - 2/3*r**3 - 9*r + 1/5*r**5. Factor m(a).
4*a*(a - 1)*(a + 1)
Let y(j) be the second derivative of 0 - j**4 + 2/15*j**6 + 10/3*j**3 - 1/5*j**5 + 2*j - 4*j**2. Factor y(k).
4*(k - 1)**3*(k + 2)
Let j(b) be the third derivative of -b**7/42 + 10*b**6/3 - 182*b**5 + 13520*b**4/3 - 87880*b**3/3 + 276*b**2. Suppose j(s) = 0. What is s?
2, 26
Suppose k + 5 = 14. Suppose -k = -6*c + 3*c. Factor 2/3*w - 1/3*w**4 - 5/3*w**2 + 0 + 4/3*w**c.
-w*(w - 2)*(w - 1)**2/3
Let f(q) = q**2 + 2*q + 1. Let c(x) = -29*x**2 - 78*x + 23. Let z(n) = c(n) + f(n). Factor z(h).
-4*(h + 3)*(7*h - 2)
Let j = -478/15 + 161/5. Suppose 0*r - 2 = -r. Factor 0 - j*s**r - 1/3*s.
-s*(s + 1)/3
Let f(h) be the second derivative of -49*h**5/15 - 119*h**4/9 + 160*h**3/9 - 8*h**2 + 2*h + 15. Find q, given that f(q) = 0.
-3, 2/7
Let l(w) be the first derivative of -2*w**3/45 - w**2/5 + 8*w/15 - 45. Determine f, given that l(f) = 0.
-4, 1
Let i(h) be the third derivative of -h**5/60 + 4*h**4/3 + 11*h**3/2 + h**2 + 3. Solve i(w) = 0.
-1, 33
Factor 3/7*w**2 - 30/7*w + 9.
3*(w - 7)*(w - 3)/7
Suppose 73*i - 67*i - 18 = 0. Let y be 95/110 - (i/(-2) + 2). Suppose -10/11*c - 92/11*c**4 + 92/11*c**3 + y + 30/11*c**5 - 24/11*c**2 = 0. Calculate c.
-1/3, 2/5, 1
Suppose 5*o = o + 8. Factor -4/7 + 2/7*r**3 - 4/7*r + 3/7*r**o - 1/7*r**4.
-(r - 2)**2*(r + 1)**2/7
Let q(b) be the second derivative of 9/55*b**5 + 1/55*b**6 - 1/77*b**7 + 6*b - 2/11*b**4 - 8/11*b**3 + 0 + 0*b**2. Solve q(f) = 0.
-2, -1, 0, 2
Let r(c) = 4*c**3 + 78*c**2 + 2178*c + 19680. Let j(a) = -a**3 + a**2 + 3*a + 1. Let q(d) = 3*j(d) + r(d). Let q(y) = 0. What is y?
-27
Let t(h) be the third derivative of h**9/60480 + h**8/4032 + h**7/630 + h**6/180 - h**5/30 + 12*h**2. Let p(d) be the third derivative of t(d). Factor p(f).
(f + 1)*(f + 2)**2
Factor -25/6 - 4*z + 1/6*z**2.
(z - 25)*(z + 1)/6
Let x = 2035 + -6104/3. Let -5/3*d + x*d**2 + 1 + 1/3*d**3 = 0. Cal