 + 2)
Let i(j) be the second derivative of -j**5/70 + j**4/21 - j**3/21 - 5*j. Find l such that i(l) = 0.
0, 1
Let j(l) be the second derivative of -5*l**7/294 - 17*l**6/210 - 3*l**5/20 - 11*l**4/84 - l**3/21 - 3*l. Factor j(q).
-q*(q + 1)**3*(5*q + 2)/7
Let p(t) be the third derivative of 0*t - 3/14*t**7 - 1/5*t**5 + 7*t**2 + 0*t**4 + 0*t**3 + 1/32*t**8 + 9/20*t**6 + 0. Factor p(d).
3*d**2*(d - 2)**2*(7*d - 2)/2
Let u = 54 - 51. Factor 3/2*p**2 + 3/4*p**u + 3/4*p + 0.
3*p*(p + 1)**2/4
Let t = -29279/120 + 244. Let k(x) be the third derivative of -t*x**7 + x**2 - 1/80*x**5 - 1/40*x**6 + 0 + 0*x + 0*x**3 + 1/48*x**4. Factor k(f).
-f*(f + 1)**2*(7*f - 2)/4
Let i = -1/15 - -2/5. Factor 1/3*t**3 + i + t + t**2.
(t + 1)**3/3
Suppose -l = -2*l + 2*l. Let d(v) be the first derivative of -3 - 1/14*v**4 + l*v + 0*v**2 + 2/21*v**3. Factor d(b).
-2*b**2*(b - 1)/7
Let s be (6/(-9))/((-6)/(-9)). Let j be 0 - (2 + 1)/s. Factor -2 - 2 + 2*g + 18*g**2 + 10*g**4 + 9*g**3 - 35*g**j.
2*(g - 1)**3*(5*g + 2)
Let z(j) = 13*j**4 - 25*j**3 + 18*j**2 - 6*j - 7. Let r(y) = 7*y**4 - 13*y**3 + 9*y**2 - 3*y - 4. Let t(x) = 7*r(x) - 4*z(x). Let t(w) = 0. What is w?
0, 1
Let m(j) = 4*j**4 + 21*j**3 + 13*j**2 - 13*j. Let i(f) = -f**4 - 5*f**3 - 3*f**2 + 3*f. Let y(b) = 26*i(b) + 6*m(b). Determine d, given that y(d) = 0.
-2, 0
Suppose 0 = 2*a - a - 2. Let 4*l**4 + 6*l + 12*l**4 - 17*l**2 - 8*l**5 + 3*l**2 - a*l + 6*l**3 = 0. What is l?
-1, 0, 1/2, 2
Suppose 3*y - 1 = -4. Let q be 4/((-9)/y - 2). Factor -q*b**3 - 2*b + 2/7*b**5 - 4/7 - 16/7*b**2 + 4/7*b**4.
2*(b - 2)*(b + 1)**4/7
Factor 0 - 2/13*c**5 + 0*c**4 - 2/13*c + 0*c**2 + 4/13*c**3.
-2*c*(c - 1)**2*(c + 1)**2/13
Let w be ((-6657)/(-12))/((-3715)/(-4)). Let z = 2/743 + w. Determine p so that -3/5 - 3/5*p**5 - z*p - 3/5*p**4 + 6/5*p**2 + 6/5*p**3 = 0.
-1, 1
Let h(c) be the first derivative of -c**5/90 - c**4/27 + 7*c + 3. Let o(n) be the first derivative of h(n). Determine v, given that o(v) = 0.
-2, 0
Suppose -10 = -4*j + 2*q, -j + 0*q + 16 = 4*q. Suppose j*o - 3*o = 0. Solve k**2 + 2*k**3 + k**2 + o*k**3 = 0 for k.
-1, 0
Let u be 11/6 + 1/6. Let m(o) be the first derivative of 1/8*o**4 - 1/12*o**3 + 1/4*o - 1/4*o**u + 3. Let m(p) = 0. Calculate p.
-1, 1/2, 1
Let w(k) = -k**3 - 3*k**2 + 5*k + 6. Let d be w(-4). Find g, given that 0 + 12/5*g**3 - 4/5*g**d + 0*g - 9/5*g**4 = 0.
0, 2/3
Let y(i) be the first derivative of -i**3/9 + 5*i**2/6 - 2*i + 2. Suppose y(u) = 0. Calculate u.
2, 3
Suppose 0 = 4*b - 4*x - 20, 2*b + 5*x - 19 = 10*x. Factor -4/3*t**b + 2/3*t**4 + 0*t**3 + 2/3 + 0*t.
2*(t - 1)**2*(t + 1)**2/3
Suppose -2*q = -2*h - 0*q - 2, h + 13 = 4*q. Suppose -2/5*k**2 + 1/5*k**h + 1/5*k + 0 = 0. What is k?
0, 1
Let k be ((-6)/(-4) + -1)*-20. Let i = k - -17. Find f such that -i - f**2 + 7 = 0.
0
Let x(j) be the second derivative of 0 - 1/24*j**3 + 1/16*j**4 + j + 1/120*j**6 - 3/80*j**5 + 0*j**2. Solve x(n) = 0.
0, 1
Let n(v) be the third derivative of v**5/60 - 2*v**2. Determine r so that n(r) = 0.
0
Let n be (-50)/210*1/(-50). Let s(z) be the third derivative of 1/28*z**4 + 0*z + z**2 + 0 - n*z**5 - 2/21*z**3. Let s(q) = 0. Calculate q.
1, 2
Let j = 6 - 2. Solve -2*m**j + 2*m**5 - 2*m**5 + 2*m**5 + 0*m**4 = 0.
0, 1
Let o(v) be the first derivative of -v**6/900 - v**5/100 - v**4/30 + v**3/3 - 4. Let k(j) be the third derivative of o(j). Find w such that k(w) = 0.
-2, -1
Let n(o) be the first derivative of o**3/15 + o**2/5 - 10. Find t such that n(t) = 0.
-2, 0
Let t be (-4)/22 - 43/(-176). Let a(x) be the first derivative of -1 + t*x**4 + 0*x - 1/6*x**3 + 1/8*x**2. Factor a(m).
m*(m - 1)**2/4
Let h be 0/(-1 - (2 - 4)). Let g(c) be the third derivative of h*c - 3/10*c**5 + 0 - 1/3*c**3 - 1/15*c**6 - c**2 - 1/2*c**4. Factor g(y).
-2*(y + 1)**2*(4*y + 1)
Let u(f) be the first derivative of -4*f**6 + 38*f**5/5 - 4*f**4 + 2*f**3/3 + 9. Solve u(s) = 0.
0, 1/4, 1/3, 1
Let j(v) be the second derivative of 7*v**6/300 - 8*v**5/75 + v**4/15 - 9*v**2/2 - v. Let k(w) be the first derivative of j(w). Factor k(r).
2*r*(r - 2)*(7*r - 2)/5
Factor -1/11*c**4 - 1/11*c + 1/11*c**3 + 0 + 1/11*c**2.
-c*(c - 1)**2*(c + 1)/11
Let n be 27 + 4 - (-1 - 2). Let o be n/9 + 4/18. Factor -3/2*q**3 - 1/4 + 3/2*q - 2*q**2 + 9/4*q**o.
(q - 1)*(q + 1)*(3*q - 1)**2/4
Suppose 12 = -5*h + 11*h. Solve 1/2*l**3 - 1/2*l + 0 + 0*l**h = 0.
-1, 0, 1
Let p(a) be the second derivative of -a**5/70 + a**3/7 - 2*a**2/7 - 7*a. Factor p(f).
-2*(f - 1)**2*(f + 2)/7
Let x(a) be the first derivative of 0*a**2 - 6 + 0*a - 7/20*a**5 + 9/16*a**4 - 1/6*a**3. Determine d so that x(d) = 0.
0, 2/7, 1
Let d(c) be the third derivative of -c**5/15 - c**4/3 - 2*c**3/3 + 6*c**2. Determine x so that d(x) = 0.
-1
Let b be (-32)/(-6) + 5/(-15). Determine h, given that 1/2*h**b + 0 + 0*h**2 - h**4 + 1/2*h**3 + 0*h = 0.
0, 1
Suppose 5*k - 7 - 8 = 0. Let v be (-6)/(-2) + -4 + k. Factor 2*p - 9 + 9 + p**v.
p*(p + 2)
Let a(c) = c**3 - 3*c**2 - c - 9. Let f be a(4). Let d(w) be the second derivative of -2*w + 0*w**2 + 2/3*w**f + 3/2*w**4 + 0 + 7/10*w**5. Solve d(b) = 0 for b.
-1, -2/7, 0
Let m(u) = -u**2 + 4*u. Let q(l) = 3*l**2 - 9*l. Let o(j) = -5*m(j) - 2*q(j). Determine p, given that o(p) = 0.
-2, 0
Let i(o) be the first derivative of 5*o**4/2 - 35*o**3/3 + 20*o**2 - 15*o + 35. Let i(u) = 0. What is u?
1, 3/2
Factor -14/5*s**4 - 686/15*s**2 - 98/5*s**3 + 0 - 2/15*s**5 + 0*s.
-2*s**2*(s + 7)**3/15
Let b = -47 - -47. Let i(z) be the second derivative of 0*z**3 + 0*z**4 - 3*z - 1/45*z**6 + b*z**2 + 1/30*z**5 + 0. Factor i(y).
-2*y**3*(y - 1)/3
Suppose 5*l = 3*w + 35, 0 = -4*l - 2*w - 3*w + 65. Let k(x) = x**3 - 9*x**2 - 11*x + 10. Let z be k(l). Factor 2/7*b + z - 2/7*b**2.
-2*b*(b - 1)/7
Let p(m) be the second derivative of 0*m**3 + 6*m - 1/6*m**2 + 1/36*m**4 + 0. What is c in p(c) = 0?
-1, 1
Suppose -w = 7 - 4. Let y = w + 6. Factor -o**4 - 2*o + o - o**2 + 6*o**4 + 2*o**5 + 3*o**y.
o*(o + 1)**3*(2*o - 1)
Factor 28*g**2 - 14*g**4 - 88*g**3 - 23*g - 13*g - 73*g**2 - 105*g**2.
-2*g*(g + 3)**2*(7*g + 2)
Let u(b) = b - 2. Let f be u(5). Let i be ((f - 3)/(-2))/2. Factor 2/9*g**2 + 2/9*g + i.
2*g*(g + 1)/9
Let t(c) be the first derivative of c**9/10584 - c**8/2940 + c**6/630 - c**5/420 + 2*c**3/3 - 2. Let k(m) be the third derivative of t(m). Solve k(s) = 0 for s.
-1, 0, 1
Let f = 481 + -4327/9. What is x in -4/9*x**2 + 0 + 2/9*x**3 + f*x = 0?
0, 1
Let j = 37 + -34. Factor 1/3*x**2 - 1/3 - 1/3*x**j + 1/3*x.
-(x - 1)**2*(x + 1)/3
Let a(x) be the second derivative of x**4/9 - 4*x**3/9 + 3*x. Solve a(j) = 0 for j.
0, 2
Let a = 2 - 2. Suppose -3*r - r - 8 = a. Let m(k) = 6*k**2 + k. Let s(y) = y**2. Let n(h) = r*s(h) + m(h). Find v such that n(v) = 0.
-1/4, 0
Let v(t) be the second derivative of -t**6/10 + t**4/2 - 3*t**2/2 - 7*t. Determine d, given that v(d) = 0.
-1, 1
Let t be 5 - (-7)/(175/(-120)). Factor t + 4/5*f - f**2.
-(f - 1)*(5*f + 1)/5
Let y be 3/(-1) + 0 + 2. Let m be 0 - y*0/3. Factor 0 - 8/7*f**4 + m*f - 6/7*f**3 + 2/7*f**2.
-2*f**2*(f + 1)*(4*f - 1)/7
Let q(i) be the third derivative of i**5/180 - i**4/18 + 2*i**3/9 + 10*i**2. Determine t, given that q(t) = 0.
2
Let z be (1 - 1)*4/8. Suppose z = -3*o - 0*o + 15. Factor -6*i**2 + 10*i**2 - o*i + 2 + 10*i + i**3.
(i + 1)**2*(i + 2)
Let f(w) be the first derivative of 2*w**3 + 7*w**2/3 - 4*w/3 - 4. Determine b, given that f(b) = 0.
-1, 2/9
Let p(v) be the first derivative of 2*v**6/3 + 7*v**5/5 - v**4 - 14*v**3/3 - 4*v**2 - 11*v + 8. Let n(s) be the first derivative of p(s). What is l in n(l) = 0?
-1, -2/5, 1
Factor -32/3*y + 8/3*y**3 + 4/3*y**4 - 16/3 - 4*y**2.
4*(y - 2)*(y + 1)**2*(y + 2)/3
Let f = -21 - -24. Let v(m) be the second derivative of -1/9*m**f - 1/18*m**4 + 0 + 0*m**2 - 2*m. Factor v(z).
-2*z*(z + 1)/3
Suppose 5*a - 2 = 4*a. Suppose -4*x + 12 = 3*l - a*l, 5*l + 6 = 2*x. Factor -1/4*i**2 + l + 0*i.
-i**2/4
Let n(m) = 6*m**2 - 11*m + 12. Let h(p) = 0*p**2 + 0*p - 5*p + 6 + 3*p**2. Let d(u) = -7*h(u) + 4*n(u). Let d(f) = 0. What is f?
1, 2
Let b(r) = 4*r**2. Let s = 4 + -5. Let k be b(s). Factor -w**5 + 2*w**2 + w**3 - 2*w**k - 31 + 31.
-w**2*(w - 1)*(w + 1)*(w + 2)
Let m(r) be the third derivative of r**7/70 + r**6/20 - r**5/20 - r**4/4 + 4*r**2. Determine g, given that m(g) = 0.
-2, -1, 0, 1
Let i(z) be the third deriva