 0 + 12*d**3 + 16/5*d = 0?
0, 1, 4
Let w(t) be the second derivative of 5*t**4/12 + 30*t**3 + 1458*t. Factor w(z).
5*z*(z + 36)
Let g(p) be the first derivative of -p**4/22 - 2*p**3 - 171*p**2/11 + 3610*p/11 - 2698. What is n in g(n) = 0?
-19, 5
Let g(d) be the first derivative of -12*d + 0*d**2 - 1/126*d**4 - 5 - 2/21*d**3. Let u(n) be the first derivative of g(n). Factor u(p).
-2*p*(p + 6)/21
Let k(h) be the second derivative of 1/2*h**2 + 23*h + 0 + 5/36*h**3 + 1/72*h**4. Determine c, given that k(c) = 0.
-3, -2
Suppose -5*b + 186 - 146 = 0. Factor 10 - b - 61*w**2 + 56*w**2 + 3*w.
-(w - 1)*(5*w + 2)
Determine n so that 1/5*n**2 - 62/5*n + 61/5 = 0.
1, 61
Let i(q) be the second derivative of 9/20*q**5 + 46*q + 0 + 0*q**2 + 1/126*q**7 - 25/36*q**4 + 4/9*q**3 - 11/90*q**6. Factor i(j).
j*(j - 8)*(j - 1)**3/3
Let r(g) = 2*g**3 - 12*g**2 + 18*g - 2. Suppose 0 = 7*c - 15*c - 24. Let j(i) = -3*i**3 + 13*i**2 - 17*i + 3. Let n(a) = c*j(a) - 2*r(a). Factor n(s).
5*(s - 1)**3
Let v be (-8)/(-28) - -3 - 32/112. Let u = -8 - -11. Solve u*p**3 - 2*p**2 + 0 - 10*p - 3 - p**3 - v = 0.
-1, 3
Let z(h) be the third derivative of -h**7/105 - h**6/3 + 74*h**5/15 - 52*h**4/3 + 74*h**2 + 22. Solve z(k) = 0.
-26, 0, 2, 4
Let a(q) be the first derivative of -1/3*q**3 + 17 + q + 0*q**2. Let n(b) = -20*b**2 - 16*b + 24. Let k(h) = -24*a(h) + n(h). Suppose k(o) = 0. Calculate o.
0, 4
Let i(u) = u**2 - 7*u + 1. Let r be i(8). Let j be -1*3 - (-6 - r). Factor -12*x**2 - j*x**3 + 12*x + 4*x**3 - 16*x.
-4*x*(x + 1)*(2*x + 1)
Determine h so that -6 - 19/3*h - 1/3*h**2 = 0.
-18, -1
Factor 221*p**2 + p**3 - 100*p**2 + 106*p**2 + 393 + 80*p**2 - 785*p + 84*p**2.
(p - 1)**2*(p + 393)
Let a(p) = p**2 - 568*p + 10963. Let v be a(20). Let d(b) be the first derivative of 1/3*b**v + 7/2*b**2 + 12 + 6*b. Solve d(g) = 0 for g.
-6, -1
Let h be ((-18720)/43776 - 2/(-38))/(-1). Factor -3/8*r**3 - 3/8*r**4 + 3/8*r**2 + 0 + h*r.
-3*r*(r - 1)*(r + 1)**2/8
Let c(j) be the first derivative of 18*j**5/95 + 15*j**4/38 - 22*j**3/57 - 11*j**2/19 - 4*j/19 - 694. Find l, given that c(l) = 0.
-2, -1/3, 1
Let t be 666/(-37) + 3 + 17. Factor -1/2*h**t + 2*h - 1/4*h**3 + 0.
-h*(h - 2)*(h + 4)/4
Let l = 160 + -167. Let q(t) = 7*t**3 + 7*t**2 + 2*t + 2. Let c(k) = 16*k**3 + 15*k**2 + 3*k + 4. Let x(f) = l*q(f) + 3*c(f). Factor x(j).
-(j + 1)**2*(j + 2)
Suppose 4*i - 80 = 420. Factor -83*f**3 - i*f - 86*f**3 - 130*f**2 + 164*f**3.
-5*f*(f + 1)*(f + 25)
Let l be ((-2940)/(-144))/(-49)*(-2)/25. Let t(q) be the first derivative of 13 + 0*q - l*q**4 + 4/45*q**3 - 1/15*q**2. Factor t(v).
-2*v*(v - 1)**2/15
Let a(p) be the third derivative of 3*p**2 + 0*p**3 - 17/36*p**4 + 1/360*p**6 + 0*p - 3 - 1/12*p**5. Suppose a(c) = 0. What is c?
-2, 0, 17
Let q(a) be the third derivative of 1/12*a**5 - 2*a**2 + 15/8*a**4 + 0 - 5/6*a**3 + 36*a - 3/8*a**6. Factor q(g).
-5*(g - 1)*(g + 1)*(9*g - 1)
Let o = 3143192/11 - 285742. Let 96/11*q + 128/11 - o*q**2 + 2/11*q**3 = 0. What is q?
-1, 8
Let d(y) = -3996*y - 15982. Let m be d(-4). Suppose -1/2*n**2 + 1/2*n**3 - 2*n + m = 0. Calculate n.
-2, 1, 2
Let z(t) be the third derivative of t**5/120 - 3*t**4/8 + 77*t**3/12 - 88*t**2 - 3*t. Factor z(r).
(r - 11)*(r - 7)/2
Let l(n) = n**3 - 10*n**2 + 8*n - 3. Let o be l(9). Let j = o + 44. Factor -j*p**2 - 12*p**3 + 5 - 10*p - 4 - 6*p**3 + 3.
-2*(p + 1)**2*(9*p - 2)
Let v(h) be the second derivative of -h**4/14 - 2*h**3 - 135*h**2/7 - h + 663. Find s, given that v(s) = 0.
-9, -5
Let g be -8 - -2 - (-46 - -25). Factor 2*a**4 + 6*a**3 + 18*a**2 - 7*a + g*a + 6*a**3.
2*a*(a + 1)**2*(a + 4)
Let d(p) = -p**2 - 259*p - 12607. Let k be d(-65). Find b such that 210*b**2 + 0 - 45/2*b**4 + 180*b + 5*b**k + 5/2*b**5 = 0.
-2, -1, 0, 6
Let r(i) be the second derivative of i**6/95 - 4*i**5/19 + 37*i**4/38 - 2*i**3 + 40*i**2/19 + 151*i. Find t such that r(t) = 0.
1, 4/3, 10
Solve -7*h**3 + 675 + 10*h**3 + h**4 - 10*h**2 - 651 - 20*h + 2*h**3 = 0 for h.
-6, -2, 1, 2
Let i(m) be the second derivative of -1 - 81*m + 17/9*m**3 + m**4 + 0*m**2 + 1/30*m**5. Find z such that i(z) = 0.
-17, -1, 0
Suppose -j - 10 = -3*j + 4*m, -58 = -5*j - m. Suppose 0 = -t - 3*y + j + 7, t + 7 = 2*y. Suppose -3*g**2 + 19*g**t - 24*g**3 - 2*g**2 = 0. What is g?
-1, 0
Suppose -11*s**3 + 21/2*s + 1/2*s**5 + 2*s**2 + 0 - 2*s**4 = 0. Calculate s.
-3, -1, 0, 1, 7
Let k(n) be the third derivative of -n**9/393120 + n**8/65520 + n**7/10920 - 3*n**5/5 - 78*n**2. Let t(r) be the third derivative of k(r). Solve t(u) = 0.
-1, 0, 3
Let k(r) = -15*r**4 + 32*r**3 - 57*r**2 + 18*r. Let z = 165 - 143. Let c(o) = 4*o**4 - 8*o**3 + 14*o**2 - 4*o. Let a(u) = z*c(u) + 6*k(u). Factor a(m).
-2*m*(m - 5)*(m - 2)*(m - 1)
Let q be 0 - (2/14 - 1). Suppose -529 = -h - 528, r - 5*h + 5 = 0. Factor r*t**3 + 0 - 2/7*t**5 + 0*t + 0*t**2 - q*t**4.
-2*t**4*(t + 3)/7
Let i(g) be the second derivative of -g**4/54 + 1684*g**3/9 - 708964*g**2 - 3289*g. Let i(z) = 0. Calculate z.
2526
Suppose -379*s + 1828 = 312. Let p(x) be the third derivative of -2/3*x**3 + 0*x + 0 + x**2 - 1/60*x**6 - 1/105*x**7 + 1/12*x**s + 1/10*x**5. Solve p(a) = 0.
-2, -1, 1
Let t(c) be the first derivative of c**3/6 + 31*c**2/2 + 961*c/2 - 777. Factor t(g).
(g + 31)**2/2
Suppose -3*c + 4*r = 7, 0 = -2*c - 4*r + 2*r. Let s be 4/(-14) + 40*c/(-42). Factor -5/3*j**2 - 1/3*j**3 - 2/3*j + 0 + s*j**4.
j*(j - 2)*(j + 1)*(2*j + 1)/3
Let g(d) be the second derivative of d**5/50 + 119*d**4/2 + 70805*d**3 + 42128975*d**2 - 3409*d. Suppose g(f) = 0. Calculate f.
-595
Let x be 15*26/65 + 89/(-15). Let c(y) be the third derivative of 0*y**4 + 32*y**2 + 0*y**3 + 0 + x*y**6 + 0*y + 1/6*y**5 - 1/105*y**7. Factor c(q).
-2*q**2*(q - 5)*(q + 1)
Let n(g) be the first derivative of 3*g**7/1960 - g**6/840 - g**3/3 - 19*g**2/2 - 227. Let m(k) be the third derivative of n(k). Factor m(w).
3*w**2*(3*w - 1)/7
Let q(y) be the second derivative of y**5/10 - 10*y**4/3 - 13*y - 62. Factor q(m).
2*m**2*(m - 20)
Determine o, given that 5/4*o**2 + 20 - 10*o = 0.
4
Let p(t) be the second derivative of 5*t**7/42 - 8*t**6/3 + 6*t**5 + 145*t**4/6 - 125*t**3/6 - 105*t**2 - t + 79. Let p(s) = 0. Calculate s.
-1, 1, 3, 14
Let v(j) = -14*j**2 - 800*j - 775. Let x = 767 + -756. Let b(l) = 3*l**2 + 160*l + 155. Let p(z) = x*b(z) + 2*v(z). Solve p(g) = 0.
-31, -1
Let w(t) be the first derivative of 75*t + 5/2*t**2 - 62 - 1/4*t**4 - 7/3*t**3. Find a such that w(a) = 0.
-5, 3
Let l(k) be the third derivative of -k**5/60 - 23*k**4/24 + 25*k**3/3 - 1079*k**2. Factor l(v).
-(v - 2)*(v + 25)
Let p = -28/13505 + 16234/13505. Factor -7/5*s**3 - 1/5*s**4 + 1/5*s**5 - p*s + 13/5*s**2 + 0.
s*(s - 2)*(s - 1)**2*(s + 3)/5
Let m(i) = -19*i**2 - 749*i - 609. Let j(y) = -9*y**2 - 375*y - 311. Let q(x) = -11*j(x) + 5*m(x). Factor q(b).
4*(b + 1)*(b + 94)
Let j(p) = 10*p**2 + 39*p + 2. Let x be j(-4). Factor -x*n**3 + 4*n**3 + 0*n + 5*n**3 - 12*n.
3*n*(n - 2)*(n + 2)
Suppose -1568 = 1805*i - 8788. Let 2*j**2 + 5/7*j**3 - 2/7*j**i + 0 - 8/7*j = 0. Calculate j.
-2, 0, 1/2, 4
What is v in 6*v**2 - 4*v**2 + 2*v**2 + 221 - 5*v**2 - 341 + 43*v = 0?
3, 40
Suppose z + 8*z = 27. Suppose 23*q**4 - 4*q**z - 20*q**4 + 39*q**5 - 38*q**5 = 0. Calculate q.
-4, 0, 1
Let r = -122951 + 122954. Suppose 14/19*o - 4/19*o**2 - 2/19*o**r - 8/19 = 0. What is o?
-4, 1
Suppose 4*c - 4 = -174*s + 170*s, -c - 4*s = 5. Let n(g) be the second derivative of 0 - 36*g**2 - 1/10*g**5 - 13/6*g**4 - 16*g**c + 34*g. Factor n(p).
-2*(p + 1)*(p + 6)**2
Factor -80*l**2 + 410*l + 38*l + 306011*l**3 - 53 + 10*l**2 + 573 - 306009*l**3.
2*(l - 26)*(l - 10)*(l + 1)
Let u be 4/(-45*(-11)/396). Let 0*r + u - 4/5*r**2 = 0. What is r?
-2, 2
Let f(l) = -26*l**2 + 2248*l + 2384. Let a(g) = -7*g**2 + 562*g + 599. Let y(n) = 11*a(n) - 3*f(n). Factor y(d).
(d - 563)*(d + 1)
Let f = 2/303 + 584/3333. Let r be ((-1362)/2497)/(46/(-36) + (-4)/18). Solve -2/11 - r*l - f*l**2 = 0 for l.
-1
Let r(l) be the first derivative of -5*l**4/4 - 2235*l**3 - 13395*l**2/2 - 6695*l - 10974. Factor r(f).
-5*(f + 1)**2*(f + 1339)
Suppose -12433 = 727*m - 13887. Let -2/7*d**4 + 0*d + 0 - 1/7*d**5 + 20/7*d**m + 19/7*d**3 = 0. Calculate d.
-5, -1, 0, 4
Factor 1/4*h**4 + 10919/4*h + 3357/4*h**2 - 119/4*h**3 + 3721/2.
(h - 61)**2*(h + 1)*(h + 2)/4
Let p(h) be the thir