derivative of 3*d**4/4 - 9*d**2/2 - 6*d - 24. Let s(p) = 0. Calculate p.
-1, 2
Let i(g) be the second derivative of 0*g**4 - 1/90*g**6 + 0 + 0*g**3 + 0*g**2 + 6*g + 1/30*g**5. Find a such that i(a) = 0.
0, 2
Let k(s) be the first derivative of -2/3*s**3 + 1/240*s**5 + 0*s - 1/1440*s**6 - 2 + 0*s**2 + 1/32*s**4. Let x(t) be the third derivative of k(t). Factor x(q).
-(q - 3)*(q + 1)/4
Let i be 6/(-4) - ((-6)/(-10) + -1). Let u = 53/30 + i. Solve -1/3*c**4 + 1/3 + 2/3*c**3 - u*c + 0*c**2 = 0 for c.
-1, 1
Let i = 17 - 5. Let p = i - 10. Let 4*j**2 - j**4 + 3*j**4 - p*j**3 + 4*j + 10*j**3 + 6*j**2 = 0. Calculate j.
-2, -1, 0
Let k(a) be the first derivative of a**7/630 - a**5/90 + a**3/18 - 3*a**2 + 5. Let r(i) be the second derivative of k(i). Find n, given that r(n) = 0.
-1, 1
Let f(b) = -b**2 + 4. Let m(u) = -2*u**2 + 4. Let l(g) = 2*f(g) - 3*m(g). Find i such that l(i) = 0.
-1, 1
Suppose 69*y + 32 = 85*y. Determine t so that 16/3 + 2/3*t**3 - 4/3*t**y - 8/3*t = 0.
-2, 2
Let o(v) = -v - 2. Let g(d) = 5*d**2 - 25*d + 35. Let m(i) = -g(i) - 5*o(i). Factor m(n).
-5*(n - 5)*(n - 1)
Let p(z) be the first derivative of z**4/46 - 10*z**3/69 + 3*z**2/23 + 18*z/23 + 73. Determine s, given that p(s) = 0.
-1, 3
Let h = -19 - -187/9. Let s = -38780/9 + 4324. Solve 364/9*x**2 - 42*x**5 + 74/3*x**3 + s*x + h - 40*x**4 = 0 for x.
-2/3, -1/3, -2/7, 1
Suppose 2*n = 7*n - 25. Let s = -169 + 172. Factor -5*r**2 + 0*r - 3*r + 6*r**4 + s*r**n - r**2.
3*r*(r - 1)*(r + 1)**3
Let r = 1/4935 + -373417/9870. Let y = -1553/42 - r. Find c, given that y*c**3 - 2/7*c**5 + 0 - 2/7*c**2 - 4/7*c + 2/7*c**4 = 0.
-1, 0, 1, 2
Factor -4*u**3 - 120*u - 2*u**3 + 5*u**3 + 33*u**2 + 116.
-(u - 29)*(u - 2)**2
Determine z, given that -208 - z + 294 - 4*z**2 + 7*z**2 + 103*z + 781 = 0.
-17
Let f(c) be the first derivative of c**3/15 + 7*c**2/5 + 9*c + 93. Factor f(t).
(t + 5)*(t + 9)/5
Let u(s) be the third derivative of 0*s**3 + s**2 + 1/112*s**8 + 0*s + 0 - 1/20*s**6 + 0*s**5 + 1/8*s**4 + 0*s**7. What is n in u(n) = 0?
-1, 0, 1
Let m be ((-2)/(-4))/((-1)/(-8)). Suppose -4*s + m*d - 5*d = -5, -5*s + 13 = -d. Factor 2 + 0*c**s - 43*c - 6 - 4*c**2 + 35*c.
-4*(c + 1)**2
Suppose -4*g + x = -6, -5*g + 9 = x - 3. Factor 3*z**g - 5/2*z + 1/4*z**4 + 3/4 - 3/2*z**3.
(z - 3)*(z - 1)**3/4
Let v = 322 + -1285/4. Let d(p) be the third derivative of v*p**4 - 7/20*p**7 + 0*p**3 - 4*p**2 + 119/80*p**6 + 2*p**5 + 0 + 0*p. Factor d(u).
-3*u*(u - 3)*(7*u + 2)**2/2
Suppose -2*i + 27 = -i - 5*h, h + 1 = -2*i. Suppose 472 - 472 + f**3 - f**i = 0. What is f?
0, 1
Let x(p) be the first derivative of -p**5/60 + p**3/18 - 5*p + 9. Let z(i) be the first derivative of x(i). Factor z(d).
-d*(d - 1)*(d + 1)/3
Let a(y) be the third derivative of y**5/360 + 7*y**4/48 - 55*y**2. Factor a(i).
i*(i + 21)/6
Let d(j) = -j**3 + 13*j**2 - 32*j + 23. Let h(n) = 5*n**3 - 79*n**2 + 194*n - 137. Let p(q) = 34*d(q) + 6*h(q). What is o in p(o) = 0?
-10, 1
Let j(g) be the second derivative of -g**7/2 + 6*g**6/5 - 9*g**5/20 - g**4/2 + g - 31. Factor j(l).
-3*l**2*(l - 1)**2*(7*l + 2)
Let k(x) = 47*x**3 - 99*x**3 + 12 - x + 51*x**3 + 7*x**2. Let c be k(7). Let 21/5*m**3 - 3*m**4 + 3/5*m**2 + 3/5*m**c - 24/5*m + 12/5 = 0. Calculate m.
-1, 1, 2
What is x in 1/4*x**2 - 29/2*x + 841/4 = 0?
29
Let n(w) be the second derivative of 4*w**7/147 - w**6/21 - 3*w**5/70 + 5*w**4/42 - w**3/21 - 2*w - 15. Determine a, given that n(a) = 0.
-1, 0, 1/4, 1
Suppose -10/9*p + 2/9*p**2 + 2/9*p**3 + 2/3 = 0. Calculate p.
-3, 1
Suppose -3*i + 5*v = 2*v, -5*i - 5*v + 50 = 0. Let g be 7/(-1) + i + 4. Factor 0 + 6/5*w + 4/5*w**g - 2/5*w**3.
-2*w*(w - 3)*(w + 1)/5
Let s = 5509/11010 - 2/5505. Solve -1/2*b**3 - 2*b**2 + 2 + s*b = 0.
-4, -1, 1
Factor -1/2*s**4 + 0 + 0*s - 10*s**2 - 6*s**3.
-s**2*(s + 2)*(s + 10)/2
Suppose -h + 28 = -3*h. Let y be (-116)/h - 4/14. Solve 34*k**4 + 6*k**5 + 11*k**2 + y + 33*k**2 + 40*k + 39*k**2 + 74*k**3 - 5*k**2 = 0 for k.
-2, -1, -2/3
Let i(v) be the second derivative of -10*v**3 + 0 + 45/2*v**2 + v**5 + 1/6*v**6 - 23*v - 5/6*v**4. Factor i(f).
5*(f - 1)**2*(f + 3)**2
Let d = -84564/5 - -16913. Find n such that d*n**2 - 4/5*n + 4/5 = 0.
2
Let g(k) be the second derivative of -2/21*k**7 + 0 - 2/3*k**4 + 0*k**5 - 6*k + 0*k**2 + 4/15*k**6 + 2/3*k**3. Factor g(u).
-4*u*(u - 1)**3*(u + 1)
Let v(u) = 10*u**3 + 37*u**2 + 30*u + 3. Let y(r) = -5*r**3 - 19*r**2 - 15*r - 1. Let m = 5 - -2. Let n(k) = m*y(k) + 4*v(k). Factor n(s).
5*(s + 1)**3
Suppose 0*o - 12/7*o**4 + 0 + 4/7*o**2 - 2/7*o**3 = 0. Calculate o.
-2/3, 0, 1/2
Let p(w) = 15*w**2 + 15*w. Let k(o) = -o - 3. Suppose 7*x - 10*x = -33. Let g(m) = -5*m - 16. Let d(s) = x*k(s) - 2*g(s). Let f(j) = 6*d(j) + p(j). Factor f(l).
3*(l + 1)*(5*l - 2)
Let t be -20 - 722/(-19) - 14. Solve 8*y**2 + 0 - 16/3*y + 2/3*y**t - 4*y**3 = 0 for y.
0, 2
Let l(r) = 0 - 2*r**3 + r**4 + 0*r + 5 - 2*r + 7*r + 6*r**2. Let b(s) = s**2 + s + 1. Let y(t) = -5*b(t) + l(t). Determine u so that y(u) = 0.
0, 1
Let p be (-4)/(-7) + 8415/(-2310)*(-2)/3. Determine y, given that 10/3 - 25/3*y - 20/3*y**p - 55/3*y**2 = 0.
-2, -1, 1/4
Suppose 0 = -7*w + 4*w + 21. Suppose -2*f - 10 = -w*f. Suppose 12*t - t**3 - 6*t**2 - 8 + 3*t**3 - f*t**3 + t**3 = 0. Calculate t.
2
Let b = -23 - -14. Let c = -4 - b. Factor -2*q**4 + 6*q**3 - q - c*q - 2*q.
-2*q*(q - 2)**2*(q + 1)
Factor -6/7*k**2 + 4/7 + 2/7*k.
-2*(k - 1)*(3*k + 2)/7
Let x(v) be the third derivative of v**5/60 - 19*v**4/8 - 348*v**2. Let x(r) = 0. What is r?
0, 57
Solve -50*l + 27347 + 9437 + 1070*l - 18972 + 5*l**2 + 34208 = 0 for l.
-102
Find i such that 198*i**4 - 183*i**4 + 30*i**3 - 9*i**5 - 78*i**2 + 18*i**2 + 24*i = 0.
-2, 0, 2/3, 1, 2
Let c = 119 + -106. Suppose 0 = 3*o - 19 + c. Factor 2/13*z + 0 + 4/13*z**o + 2/13*z**3.
2*z*(z + 1)**2/13
Let y = 114 + 168. Let j = -1408/5 + y. Factor 3/5*d - 1/5*d**2 - j.
-(d - 2)*(d - 1)/5
Let 35*a**4 + 125*a**2 + 625/2*a - 150*a**3 + 0 - 5/2*a**5 = 0. What is a?
-1, 0, 5
Factor -2/17*v**4 - 16/17*v**2 + 0 + 10/17*v**3 + 8/17*v.
-2*v*(v - 2)**2*(v - 1)/17
Suppose -5*s + 95 = -10. Let x = 31 - s. Factor x*m - 5*m**2 - 2*m - 3*m.
-5*m*(m - 1)
Find d such that 155*d**2 - 152*d**2 + 22*d - 298*d + 6348 = 0.
46
Let 2/3*o**3 - 8/3*o + 8 - 2*o**2 = 0. Calculate o.
-2, 2, 3
Let z(i) = 12*i**4 - 17*i**3 + 5*i**2 + 30*i. Let q(a) = 7*a**4 - 9*a**3 + 3*a**2 + 18*a. Let o(f) = -10*q(f) + 6*z(f). Find d such that o(d) = 0.
0, 6
Let p(t) be the second derivative of t**7/10080 - t**6/1440 + t**5/480 + t**4 - 22*t. Let w(s) be the third derivative of p(s). Factor w(o).
(o - 1)**2/4
Let b be ((-4)/(-90))/(94/10 - 7). Let n(l) be the second derivative of 0*l**3 + 5*l + 0 + 1/9*l**2 - b*l**4. Solve n(f) = 0.
-1, 1
Let z = 30824/19 - 1622. Factor -z*n**2 + 0 - 2/19*n**3 - 4/19*n.
-2*n*(n + 1)*(n + 2)/19
Factor -242 - 44/3*a - 2/9*a**2.
-2*(a + 33)**2/9
Let m(h) be the second derivative of -4*h**6/15 + 73*h**5/5 - 203*h**4 - 2090*h**3/3 - 722*h**2 - 406*h + 2. Solve m(o) = 0.
-1, -1/2, 19
Let k be 300/180*(-6)/(-20). Let y(r) be the first derivative of -k*r**6 + 5 + 12/5*r**5 - 9/2*r**4 + 0*r + 4*r**3 - 3/2*r**2. Factor y(o).
-3*o*(o - 1)**4
Let l = -294 + 297. Let r(n) be the second derivative of 7*n + 0 + 3/20*n**5 + 6*n**2 - 3/4*n**4 + 0*n**l. Factor r(s).
3*(s - 2)**2*(s + 1)
Let s = -27 + 29. Suppose -s*r + 18 - 12 = 0. Factor 2*x + 1/3*x**2 + r.
(x + 3)**2/3
Let b(r) be the second derivative of 5*r**7/126 - 2*r**6/45 - 23*r**5/30 + r**4 + r**3/2 + 112*r - 1. Suppose b(h) = 0. What is h?
-3, -1/5, 0, 1, 3
Let v(k) be the second derivative of -k**7/105 - 7*k**6/75 + k**5/25 + 7*k**4/15 - k**3/15 - 7*k**2/5 + 2*k + 6. Find f such that v(f) = 0.
-7, -1, 1
Let l(v) be the first derivative of -1/7*v**4 - 16/21*v**3 - 10/7*v**2 - 4 - 8/7*v. Determine d so that l(d) = 0.
-2, -1
Let f(l) = l**5 - 4*l**4 - 9*l**3 + 42*l**2 - 42*l + 16. Let b(q) = -2*q**5 + 9*q**4 + 17*q**3 - 85*q**2 + 83*q - 32. Let s(k) = 2*b(k) + 5*f(k). Factor s(n).
(n - 2)**2*(n - 1)**2*(n + 4)
Let c be 2 + (2 - 1) + 9. Let i be ((-2)/3)/((-2)/c). Factor 2*z**2 + 0*z**2 + 4*z**2 - 4*z**2 - i*z.
2*z*(z - 2)
Let z = -6061/60 + 101. Let j = z - -4/15. Factor -j*i**5 + i**4 - 1/4*i - 3/2*i**3 + 0 + i**2.
-i*(i - 1)**4/4
Let i be 22 + 2 + 0 + -21. Find t such that 1/5*t**i + 0*t 