rd derivative of -l**4/24 + 10*l**2 - 3. Let h(w) = 15*w**3 + 5*w**2 - 3*w. Let p(a) = d*v(a) - h(a). What is b in p(b) = 0?
-1/3, 0
Let u(y) be the first derivative of y**3/9 + 13*y**2/6 + 10*y - 6317. Factor u(p).
(p + 3)*(p + 10)/3
Let s(c) be the second derivative of 5*c**4/12 + 1475*c**3/6 + 2910*c**2 - 399*c + 6. Find g such that s(g) = 0.
-291, -4
Let v = 13 - 7. Let r(l) = 9*l**2 - 6*l + 1. Let m(c) = -11*c**2 + 7*c. Let i(f) = v*r(f) + 5*m(f). Let i(y) = 0. Calculate y.
-3, 2
Let o(h) be the second derivative of 3*h**5/20 - 13*h**4 + 143*h**3/2 + 294*h**2 - 34*h - 1. Factor o(z).
3*(z - 49)*(z - 4)*(z + 1)
Factor 324/7*n - 46 - 2/7*n**2.
-2*(n - 161)*(n - 1)/7
Let x(m) = 2*m**3 - m + 1. Let v be x(1). Let n be (65/(-1365) - (-464)/42) + (-6 - 1). Factor -2/3*f**v - 13/6*f**3 + 0 - 5/6*f**n + 2/3*f.
-f*(f + 1)*(f + 2)*(5*f - 2)/6
Determine u so that -1/2*u**3 + 9/2*u**2 - 13*u + 12 = 0.
2, 3, 4
Factor 15/2*a**2 + 6*a**3 + 3*a + 3/2*a**4 + 0.
3*a*(a + 1)**2*(a + 2)/2
Let n be -5 + 11 - (-2 - -1)*1. Determine a so that 11*a**2 + 2*a**2 - 1 + 0*a + 19*a - n*a = 0.
-1, 1/13
Let t(h) = -h**3 + 2*h**2 + 6*h - 7. Let n be t(3). Factor -15*y**3 + 47*y**3 - 18*y**3 - 2*y**n.
2*y**2*(7*y - 1)
Suppose -5*b = -4 - 66. Suppose -5*u - 6 = 4*h, u + 2*u + 5*h + b = 0. Factor 14*k + 13*k + 2*k**u - 27*k.
2*k**2
Let j(d) be the first derivative of -d**3/9 + 29*d**2/3 - 104*d + 27. Factor j(c).
-(c - 52)*(c - 6)/3
Let r(y) = -5*y**5 - 34*y**4 - 38*y**3 + 37*y**2 + 91*y - 11. Let h(p) = 3*p**3 + p**2 + 3*p + 1. Let o(g) = 10*h(g) - 2*r(g). Determine f so that o(f) = 0.
-4, -2, 1/5, 1
Suppose -272*c = 203 - 938 - 353. Suppose 2/7*p**2 - c*p - 30/7 = 0. What is p?
-1, 15
Let a be (1 - -93) + -5 + 3. Determine s so that -275*s**3 + 264*s - a*s**2 + 269*s**3 - 98*s - 68 = 0.
-17, 2/3, 1
Let q be (0 + (-1)/(-5))*(63 + -63)/(-32). Suppose 1/8*l**3 + 3/8*l**2 - 1/2 + q*l = 0. What is l?
-2, 1
Suppose -282/7*i**2 - 276/7 - 555/7*i - 3/7*i**3 = 0. Calculate i.
-92, -1
Let m(d) be the third derivative of d**5/20 - 77*d**4 + 364*d**2 - 2*d. Factor m(b).
3*b*(b - 616)
Let d(v) = -14*v + 122. Let c be d(8). Suppose 6*m**4 - c*m**4 - 4*m**5 - m**4 + 9*m**5 - 100*m**2 - 80*m**3 = 0. What is m?
-2, 0, 5
Let a(c) be the first derivative of 0*c - 3*c**4 - 12/5*c**5 + 15*c**3 + 27*c**2 - 72. Solve a(g) = 0 for g.
-3/2, 0, 2
Let m = -769 + 807. Let v be 7/((-70)/5) - (-23)/m. Find l, given that -4/19*l**2 + v*l + 2/19*l**3 + 0 = 0.
0, 1
Let m(g) be the second derivative of -2*g + 1/10*g**5 + 10648*g**2 + 484*g**3 + 11*g**4 + 2. Factor m(c).
2*(c + 22)**3
Let j = -4540379/17 - -267083. Let 0 + 0*z - 10/17*z**5 - 32/17*z**2 + j*z**4 - 8/17*z**3 = 0. What is z?
-4/5, 0, 2
Let t be (17/(170/(-6)))/(7 - (-2023)/(-280)). Factor -t - 208/3*q**2 - 74/3*q - 160/3*q**3.
-2*(4*q + 1)**2*(5*q + 4)/3
Let c(b) be the second derivative of b**6/120 - b**5/2 - 21*b**4/8 - 16*b**3/3 - 43*b**2/8 + 4200*b. Suppose c(j) = 0. What is j?
-1, 43
Suppose -4*w - 23 = -5*o, -7*o + 5*o + 2 = 2*w. Solve 5*g**2 + 11*g**2 - 3*g**o - 12*g**2 + 35*g**2 = 0 for g.
0, 13
Let a(l) = -l**3 + l. Let q(o) = -223 + 255 + 198*o**2 + 19*o**4 + 17*o**4 - 149*o + 46*o**2 - 163*o**3. Let p(i) = -3*a(i) + q(i). Factor p(g).
4*(g - 2)*(g - 1)**2*(9*g - 4)
Let v(l) be the third derivative of -2 - 1/75*l**5 + 1/24*l**4 - 79*l**2 - 1/600*l**6 + 0*l**3 + 0*l. Let v(g) = 0. What is g?
-5, 0, 1
Factor -172/15*l + 2/15*l**2 - 48.
2*(l - 90)*(l + 4)/15
Let l(c) be the first derivative of -20*c**2 + 2/5*c**5 - 2*c**3 - 24*c - 169 + 3*c**4. Determine k, given that l(k) = 0.
-6, -1, 2
Let v(b) be the first derivative of -b**6/2 + 18*b**5/5 - 15*b**4/2 + 33*b**2/2 - 18*b + 2462. Solve v(r) = 0.
-1, 1, 2, 3
Let b(r) be the first derivative of -r**6/21 + 48*r**5/35 - 45*r**4/14 + 44*r**3/21 - 79. Suppose b(p) = 0. What is p?
0, 1, 22
Let g = -484633/4 + 121159. Solve 3 - g*c**2 + 35/4*c = 0.
-1/3, 12
Let i(l) be the second derivative of -49/2*l**2 + 7/3*l**3 - l + 15 - 1/12*l**4. Factor i(d).
-(d - 7)**2
Let n(d) = -4*d**4 - 5*d**3 + 91*d**2 - 70*d. Let t(v) = 7*v**4 + 13*v**3 - 182*v**2 + 142*v. Let h(g) = 10*n(g) + 6*t(g). Factor h(i).
2*i*(i - 4)*(i - 1)*(i + 19)
Let z(s) be the third derivative of -s**6/72 + 3*s**5/8 - 5*s**4/3 + 35*s**3/3 - 7*s**2 - 5. Let p(q) be the first derivative of z(q). Factor p(o).
-5*(o - 8)*(o - 1)
Let 16*f**3 - 3*f**2 - 24 - 9*f**3 - 7*f**3 - 3*f**3 + 30*f = 0. Calculate f.
-4, 1, 2
Let d(z) be the third derivative of -z**2 + 7/4*z**3 + 0 + 9/32*z**4 + 1/80*z**5 + 3*z. Factor d(w).
3*(w + 2)*(w + 7)/4
Factor -367*m**3 + 66*m**2 - 72*m**4 + 111*m**3 - 594*m**2 + 76*m**4.
4*m**2*(m - 66)*(m + 2)
Let g be -6 + (24/(-72) - (-13337)/1239). Let a = g - -42/59. Let 16/7*q**2 + 6*q + 2/7*q**3 + a = 0. What is q?
-3, -2
Let d be ((-747)/(-11454))/((-18)/(-1311)). Factor 25/4*u**2 - 63/4*u**3 + 0 - 1/2*u + 59/4*u**4 - d*u**5.
-u*(u - 1)**3*(19*u - 2)/4
Let l = 65509/8 + -16361/2. Let 113/8*t**3 - 85/8*t**5 - 7/2*t - l*t**2 + 1/2 + 61/8*t**4 = 0. What is t?
-1, -2/5, 2/17, 1
Let m(w) be the second derivative of 699*w**5/10 + 701*w**4/3 + 707*w**3/3 + 4*w**2 - 57*w - 1. Factor m(j).
2*(j + 1)**2*(699*j + 4)
Factor -4*x**3 - 8/9*x**2 + 4*x + 8/9.
-4*(x - 1)*(x + 1)*(9*x + 2)/9
What is d in -3807/2*d**3 - 1506*d - 252 - 2877*d**2 - 480*d**4 - 75/2*d**5 = 0?
-7, -3, -2, -2/5
Suppose 0 = 2*l - 4, -71*o + 70*o - 218 = 2*l. Let f = o + 224. Suppose -64/5*d - 3/5*d**5 - 68/5*d**3 - 96/5*d**f - 23/5*d**4 - 16/5 = 0. Calculate d.
-2, -1, -2/3
Let y be (-160)/4*(3 - -2 - 6). What is l in -3*l**4 - 34*l**3 + 42*l**5 + y*l**3 - 45*l**5 = 0?
-2, 0, 1
Let y(g) = g**3 - 2*g**2 + 2*g + 2. Let h be y(0). Let q be (-11)/(-4) - 3/(-12). Factor -15*a**q + 18*a**2 - 7*a**4 - a**5 + 8*a**h - 35*a**2.
-a**2*(a + 1)*(a + 3)**2
Let d be (-3)/(63/(-6)) - (-68008)/112. Let o = d - 603. Suppose -3/2*n**2 + 15/2*n - o - 3/2*n**3 = 0. What is n?
-3, 1
Let v be 5*(3 - 10/5). Let u(z) be the second derivative of -1/80*z**v + 0 + 0*z**2 + 0*z**4 - 6*z + 1/24*z**3. Factor u(s).
-s*(s - 1)*(s + 1)/4
Suppose 3*f = -11*r + 7*r - 2110, 3522 = -5*f - 4*r. Let j = -2803/4 - f. Solve 0 - j*p**2 - 9/4*p - 3/4*p**4 - 15/4*p**3 = 0.
-3, -1, 0
Let l(w) = 2*w**2 + 22*w. Let k be l(-12). Suppose -9*p = -k*p. Suppose p - 2/7*g**2 + 2*g = 0. What is g?
0, 7
Suppose -2*b - 322 = -9*z - 373, 4*b - 2*z = 22. Factor 68/7*t**2 + 40/7*t**b + 4/7*t**4 + 32/7*t + 0.
4*t*(t + 1)**2*(t + 8)/7
Let h(t) = -41*t - 562. Let w be h(-14). Let u(f) be the third derivative of 1/2*f**4 + 0 + 1/30*f**5 + 0*f - w*f**2 + 5/3*f**3. Find g such that u(g) = 0.
-5, -1
Let c be 2/3*(-723)/(-1928). Let t(a) be the second derivative of 0 - a**3 + 14*a + 3/2*a**2 + c*a**4. Factor t(f).
3*(f - 1)**2
Let g(a) = 5*a**2 - 18*a - 41. Let k be 6 + (-3 - 6) - -16. Let v(h) = -11*h**2 + 32*h + 82. Let r(m) = k*g(m) + 6*v(m). Let r(t) = 0. What is t?
-41, -1
Let b(p) be the second derivative of p**7/294 + 3*p**6/70 - 11*p**5/140 - 3*p**4/28 + 5*p**3/21 + 2*p + 1343. What is g in b(g) = 0?
-10, -1, 0, 1
Let -320/19*l**2 + 2/19*l**4 + 0 - 4/19*l**3 + 1792/19*l = 0. Calculate l.
-14, 0, 8
Suppose -5*u = -109 - 61. Let b be u - 7/((-14)/4). Factor 0 - 2 - 33*s**2 + b*s**2 - 1.
3*(s - 1)*(s + 1)
Let s = 680450 + -2041346/3. Factor -4/9 + 4/3*n**4 - 8/9*n**2 + 8/9*n**3 - s*n + 4/9*n**5.
4*(n - 1)*(n + 1)**4/9
Let h(c) be the third derivative of c**7/882 - 131*c**6/630 + 52*c**5/105 + 5*c**4/8 - c**3 + 265*c**2. Let i(m) be the second derivative of h(m). Factor i(g).
4*(g - 52)*(5*g - 2)/7
Let u(c) be the first derivative of 0*c**2 - 103 + 12/35*c**5 - 1/21*c**6 + 8/21*c**3 + 0*c - 9/14*c**4. Find x such that u(x) = 0.
0, 1, 4
Let -2726/7 - 36/7*a + 2/7*a**2 = 0. What is a?
-29, 47
Let g(s) be the second derivative of 0 - 4/65*s**5 + 63*s + 0*s**2 - 1/195*s**6 - 2/13*s**3 - 1/6*s**4. Factor g(y).
-2*y*(y + 1)**2*(y + 6)/13
Let p(m) = 0 + 9*m + 3*m - 6 + 6. Let q be p(0). Solve -2/5*o**2 + 4/5*o + q = 0 for o.
0, 2
Let s(r) be the second derivative of -1/42*r**7 - 4 + 0*r**2 - 7/6*r**3 + 2/5*r**5 + 1/5*r**6 - r - 1/2*r**4. Factor s(p).
-p*(p - 7)*(p - 1)*(p + 1)**2
Suppose -8*q = -5*q - 48. Suppose -3*r = -7*r + q. Determine g so that -12 + g**3 - 16*g**3 + 15*g + 4*g**2 + g**4 + 2*g**r + 5*g**2 = 0.
-1