cond derivative of 0 - 3/10*s**5 + 4/21*s**4 + 1/21*s**7 + 0*s**2 + 2/105*s**6 + 4/21*s**3 - 6*s. Solve k(f) = 0 for f.
-2, -2/7, 0, 1
Factor -42 + 154*t**2 - 198*t**2 - 10*t - 18*t - t**3 - 57*t.
-(t + 1)**2*(t + 42)
Let l(s) = -2*s**2 + 7*s + 6. Let u(o) = 3*o**2 - 15*o - 12. Let b(m) = 5*l(m) + 3*u(m). Let n be b(-9). Suppose h**3 - h**2 + h**2 + h**n = 0. Calculate h.
0
Let k = 3581 - 143233/40. Let b(y) be the third derivative of -4*y**2 + 0 - k*y**5 - y**3 + 0*y + y**4. Solve b(l) = 0.
2/7, 2
Let d = -146 + 148. Let a(p) be the second derivative of 3/14*p**7 - 3/20*p**5 + 0*p**4 + 0*p**d + 0*p**3 + 0 - 7*p + 1/5*p**6. Let a(b) = 0. Calculate b.
-1, 0, 1/3
Let c(l) be the third derivative of -l**7/525 - l**6/300 + 9*l**5/50 - 9*l**4/20 - 18*l**3/5 + 248*l**2. Determine k so that c(k) = 0.
-6, -1, 3
Let y(r) be the first derivative of 4/15*r**3 - 1/15*r**6 + 8/25*r**5 - 1/2*r**4 + 19 + 0*r + 0*r**2. Suppose y(d) = 0. Calculate d.
0, 1, 2
Let v(g) = -g + 1. Let k be v(5). Let l = 8 + k. Determine r so that 1 - 1 - r**5 + r**l = 0.
0, 1
Let j = 432 - 429. Let q(o) be the third derivative of 1/28*o**4 + 1/420*o**6 + j*o**2 + 0*o + 0 + 1/42*o**5 - 3/7*o**3. Suppose q(u) = 0. What is u?
-3, 1
Let k(j) = -2*j**3 + j**2. Let f(y) = 21*y**3 - 11*y**2 - 58*y - 24. Let c(h) = f(h) + 6*k(h). Let c(t) = 0. What is t?
-2, -4/9, 3
Let x(b) be the third derivative of -b**5/140 + b**4/56 - 7*b**2. Factor x(y).
-3*y*(y - 1)/7
Let x(h) be the first derivative of h**5/110 + h**4/66 + 17*h - 13. Let c(d) be the first derivative of x(d). Find b such that c(b) = 0.
-1, 0
Suppose -4 = 2*m + 8. Let k be 285/42 + m + 2/(-7). Factor 1/2*f + 1 - k*f**2.
-(f - 2)*(f + 1)/2
Let c be 16/108*(-4 + 55/10). Solve 0 - 1/3*t**3 + 1/9*t**5 - 8/9*t**2 + c*t**4 - 4/9*t = 0.
-2, -1, 0, 2
Let a(c) = c**3 + 66*c**2 - 65*c + 136. Let d be a(-67). Factor 363/2 - 33*s + 3/2*s**d.
3*(s - 11)**2/2
Let r(l) be the third derivative of -12*l**2 + 24*l**3 + 0 + 2*l**4 + 0*l + 1/15*l**5. Factor r(q).
4*(q + 6)**2
Let h = -35 + 16. Let o = h + 20. Find y such that 5*y + 7*y**2 - o + y - 12*y**2 = 0.
1/5, 1
Find o such that 48*o**2 - 19*o - 43*o**2 - 45 + 59*o = 0.
-9, 1
Let p(z) be the third derivative of z**6/90 + 4*z**5/15 + 7*z**4/6 + 3*z**3 - 36*z**2. Let t(f) be the first derivative of p(f). Factor t(h).
4*(h + 1)*(h + 7)
Let w be (224/(-68))/4 + 1. Let g = 8/51 + w. Factor 2/3*t - 1/3*t**2 - g.
-(t - 1)**2/3
Let w(n) = -n**2 + 7*n - 7. Let h be w(5). Factor -6*u + 10*u - 19*u**2 + 12*u**h + 3*u**2.
4*u*(u - 1)*(3*u - 1)
Suppose -63*p + 105 = -21. Let p*k - 2*k**2 + 0 + 1/2*k**3 = 0. What is k?
0, 2
Let l(u) be the third derivative of u**8/66 + 92*u**7/1155 + 31*u**6/660 - 41*u**5/165 + u**4/33 + 8*u**3/33 - u**2 + 8*u. Let l(q) = 0. Calculate q.
-2, -2/7, 1/2
Let m(i) = 3*i**2 + 3*i - 3. Let s be m(-3). Factor -5*c - 16 + 0*c**3 - 20*c**2 - s*c**3 + 16.
-5*c*(c + 1)*(3*c + 1)
Let s(p) be the second derivative of -31*p + 0*p**2 + 0 - 4/3*p**3 - 14/15*p**6 + 12/5*p**5 - p**4. Factor s(x).
-4*x*(x - 1)**2*(7*x + 2)
Let t(u) = 9*u + 53. Let j be t(-13). Let l = -64 - j. Determine n, given that -2/5*n**2 - 2/5*n**4 + 0 + l*n + 4/5*n**3 = 0.
0, 1
Let p = -334/21 - -346/21. Suppose -2/7*s**4 + 2/7 + p*s**3 - 4/7*s + 0*s**2 = 0. Calculate s.
-1, 1
Suppose -20*u - 25*u**3 + u**4 + 35*u**2 - 2*u**4 + u + 6*u**4 + 4*u = 0. What is u?
0, 1, 3
Let g(q) = -q**2 - 12*q + 16. Let s be g(-13). Factor -s*d + 8 - 2*d**2 + 3*d + 0*d.
-2*(d - 2)*(d + 2)
Let k(g) = g**3 + g + 5. Let z be k(0). Solve -z*w**2 + 2*w**3 - 8*w**2 + 5*w**2 = 0.
0, 4
Let s = 10 - 7. Factor 8*j**2 + 0*j**s + 5*j - j**3 - 13*j - j**3.
-2*j*(j - 2)**2
Let q be (12/15 - (-5 - -7)) + (-24)/(-10). Determine o so that 2/5*o**4 - 12/5*o**2 - q + 0*o**3 - 16/5*o = 0.
-1, 3
Suppose 2*a - 4*i = 38, 0*i + 2*i - 76 = -4*a. Let x = a - 17. Factor 2*p**2 - 4*p**4 - x*p**3 + 0*p**4 + 0*p**3.
-2*p**2*(p + 1)*(2*p - 1)
Let h(u) = 2*u**2 - 3*u + 2*u**2 - u + 1 + 2. Suppose -1 = 2*z - 3. Let o(l) = -l**2 + l - 1. Let m(w) = z*h(w) + 3*o(w). Factor m(c).
c*(c - 1)
Let y(m) = -m**4 + m**2 - m. Let g(d) = 5*d**4 + 8*d**3 + 9*d**2 + 10*d. Let a(h) = -g(h) - 4*y(h). Solve a(l) = 0.
-6, -1, 0
Let j(k) = 2*k**2 - 11*k + 2. Let f(q) = 3*q**2 - 12*q + 3. Suppose 34*n = 35*n - 6. Let h(o) = n*j(o) - 5*f(o). Factor h(w).
-3*(w + 1)**2
Let h(t) be the second derivative of t**4/6 - 8*t**3/3 - 47*t. Factor h(y).
2*y*(y - 8)
Let y = 4323 - 4321. Solve -2/5*r + 2/15 - 8/15*r**y = 0 for r.
-1, 1/4
Let s = 1289/100 - -2/75. Let z = s - 38/3. Factor k + z*k**2 + 3/4.
(k + 1)*(k + 3)/4
Let u be (-2 - (-21)/14)*1/2*-12. Suppose -3/4*x**4 + 3*x**2 - 3*x**u + 3/4*x**5 + 0*x + 0 = 0. Calculate x.
-2, 0, 1, 2
Let k(w) be the first derivative of -w**6/3 + 24*w**5/5 - 21*w**4/2 + 20*w**3/3 + 36. Solve k(s) = 0 for s.
0, 1, 10
Let b(n) be the third derivative of n**7/735 - n**6/420 - 2*n**5/105 + n**4/21 + 8*n**2. Determine v so that b(v) = 0.
-2, 0, 1, 2
Suppose 2*q - 181*d + 179*d = 18, -33 = -2*q + 5*d. Factor -4/7*i**q + 2/7*i**5 + 0*i**2 + 0*i**3 + 0*i + 0.
2*i**4*(i - 2)/7
Let o(d) be the third derivative of d**6/30 - 3*d**5/10 + 5*d**4/6 - d**3 - d**2 - 77. Factor o(n).
2*(n - 3)*(n - 1)*(2*n - 1)
Let k = 19 - 17. Let o(w) = 2*w**3 + 14*w**2 + 11*w + 4. Let f(j) = 34*j + 43*j**2 + 0*j**3 + 5*j**3 + 13 + 0*j**3. Let p(z) = k*f(z) - 7*o(z). Factor p(i).
-(i + 2)*(2*i + 1)**2
Let d be ((-5)/2)/(-1)*((-336)/(-260))/21. Let -d*t**5 + 0 + 8/13*t**4 - 10/13*t**3 + 0*t + 4/13*t**2 = 0. What is t?
0, 1, 2
Factor -2/23*p**2 - 4/23 - 6/23*p.
-2*(p + 1)*(p + 2)/23
Let s(d) = -d**2 + d + 1. Let x(g) be the third derivative of g**5/15 + g**4/12 - g**3/3 - 9*g**2. Let t(u) = 4*s(u) + 2*x(u). Let t(v) = 0. What is v?
-2, 0
Let y be 26/48 + (-27)/(-6) + -5. Let a(x) be the third derivative of -1/48*x**4 + 0 + 1/240*x**6 - 1/240*x**5 - 3*x**2 + y*x**3 + 0*x. Factor a(z).
(z - 1)*(z + 1)*(2*z - 1)/4
Let n be (-2 - (-2 + -1))/1 + 1. Factor 0*d**2 + 14*d**4 + 13*d**3 + 4*d**n - 4*d**4 + d**3.
2*d**2*(d + 1)*(5*d + 2)
Suppose -32*v + 38*v = 30. Let n(x) be the second derivative of 0 + 0*x**2 - x - 7/80*x**v - 5/48*x**4 - 1/40*x**6 - 1/24*x**3. Factor n(u).
-u*(u + 1)**2*(3*u + 1)/4
Let d(c) = 7*c**2 + 28*c + 44. Let h(i) = -27*i**2 - 111*i - 177. Let t = 22 + -18. Let n(z) = t*h(z) + 15*d(z). Determine g so that n(g) = 0.
-4
Factor -3/4*j**2 - 1/4*j**3 + 12 + 23/2*j.
-(j - 6)*(j + 1)*(j + 8)/4
Suppose -2*y = -y + h - 7, 4*h - 30 = -5*y. Factor -16 + 7*l**y - l - 11*l**2 + 17*l.
-4*(l - 2)**2
Let k(i) = -9*i**5 + 9*i**3 - 7*i + 7. Let w(f) = f**5 - f**3 + f - 1. Let t(r) = -2*k(r) - 14*w(r). Factor t(b).
4*b**3*(b - 1)*(b + 1)
Let k(g) be the first derivative of g**4/16 - g**3 + 21*g**2/8 - 5*g/2 - 177. Factor k(l).
(l - 10)*(l - 1)**2/4
Let k = 383 + -381. Find p such that 0 + 5/4*p**k - 5/4*p = 0.
0, 1
Let i be 2/(-6) - 5115/90. Let w = i + 129/2. Find l, given that 28/3*l**2 + 4*l**3 + 2 - 2/3*l**5 + w*l - 2/3*l**4 = 0.
-1, 3
Let x(n) be the second derivative of -n**4/60 + 13*n**3/30 - 18*n**2/5 + 926*n. Factor x(c).
-(c - 9)*(c - 4)/5
Let g(l) be the second derivative of l**5/80 - 5*l**4/96 - 3*l**3/16 + 9*l**2/8 + 87*l. Factor g(k).
(k - 3)*(k + 2)*(2*k - 3)/8
Let m be -3 - (454/6)/(6/(-9)). Let v = 115 - m. Solve -1/2*u**2 - v - 3*u = 0.
-3
Let w = -1/7340 - -7343/22020. Factor -1/6*n**5 - 1/6 + w*n**3 + 1/3*n**2 - 1/6*n**4 - 1/6*n.
-(n - 1)**2*(n + 1)**3/6
Let g(v) = v**2 + 5*v - 4. Let k be g(1). Let b(c) be the first derivative of 0*c - c**3 + 3/2*c**4 + 3/5*c**5 - 3*c**k - 1. Let b(u) = 0. What is u?
-2, -1, 0, 1
Let x = -37985/27 + 1407. Let s(r) be the first derivative of x*r**3 - 2/9*r - 1/9*r**2 + 1/9*r**4 + 5 - 1/27*r**6 - 2/45*r**5. Solve s(v) = 0 for v.
-1, 1
Let o(v) = -25*v**2 + 15*v + 13. Let u(l) = 4 - 1 - 4 + 2. Let p(f) = o(f) - 3*u(f). Find r such that p(r) = 0.
-2/5, 1
Let i(l) be the second derivative of l**7/294 + l**6/210 - 6*l**5/35 - 22*l**4/21 - 8*l**3/3 - 24*l**2/7 - 12*l. Factor i(c).
(c - 6)*(c + 1)*(c + 2)**3/7
Suppose 61 = -10*s + 1. Let k be 6/s*3/(-12). Let -k*n**2 + n - 3/4 = 0. What is n?
1, 3
Let l = 19871/42 + -473. Let v(f) be the second derivative of l*f**7 + 5/6*f**3 + 0 - 4*f - 1/3*f**4 + f**2 - 1/2*f**5 + 1/15*f**6. Let v(r) = 0. Calculate r