2193*l**5 - 92*l**4 + 5896*l**2 - 16940*l - 133100 = 0.
-5, 11
Let m(o) = 3*o**2 + 44*o - 12. Let z be (-4*(-12)/(-32))/(9/12). Let g(c) = -16*c**2 - 177*c + 46. Let u(q) = z*g(q) - 9*m(q). Factor u(i).
(i - 8)*(5*i - 2)
Let y(t) be the third derivative of -t**6/24 + 8*t**5/3 - 985*t**4/24 - 575*t**3/3 - 12*t**2 - 12*t - 13. Let y(j) = 0. What is j?
-1, 10, 23
Let u = -473084/9 + 52566. Solve -4/9*t**3 - u - 8/3*t**2 - 28/9*t + 2/9*t**4 = 0.
-1, 5
Let n(b) = -3*b**3 + 121*b**2 + 235*b - 357. Let p(v) = -2*v**3 + 120*v**2 + 233*v - 354. Let q(d) = -3*n(d) + 4*p(d). Let q(g) = 0. What is g?
-115, -3, 1
Let a(n) be the third derivative of -n**7/210 - n**6/20 + 13*n**5/60 + 11*n**4/4 - 12*n**3 + 3*n**2 - 12*n + 10. Find x, given that a(x) = 0.
-6, -4, 1, 3
Solve -834/11*j**4 + 78*j**2 + 104/11*j - 24/11 - 136/11*j**5 + 32/11*j**3 = 0.
-6, -1, -1/4, 2/17, 1
Let g(d) be the third derivative of -d**5/270 - 10*d**4/9 + 121*d**3/27 + 341*d**2 - 2*d. Solve g(f) = 0.
-121, 1
Let v(s) be the first derivative of -9*s**5/20 + 147*s**4/8 + 153*s**3/4 - 429*s**2/2 - 153*s + 4868. What is y in v(y) = 0?
-3, -1/3, 2, 34
Let c = -913391 - -913391. Factor c + 92/7*i**2 + 32/7*i + 20/7*i**4 - 4/7*i**5 + 12*i**3.
-4*i*(i - 8)*(i + 1)**3/7
Let i(f) = -f**2 - 4*f + 2. Let a be i(-3). Let b(x) = x**2 - 39*x - 35. Let z be b(40). Factor -s**4 - 9*s**4 - a*s**5 + 5*s**3 - 6*s**5 + 16*s**z.
5*s**3*(s - 1)**2
Suppose -3*b + 1 = -z - 0, 5*b = 5*z - 5. Factor 3*p**3 - 2*p + 5*p**z + 4 - 7*p**3 + 10*p + 5*p**3.
(p + 1)*(p + 2)**2
Let z be 8/(23002/8680 - 14/10). Solve -2/5*r**2 - 16/5*r - z = 0.
-4
Let y(u) be the first derivative of u**4/3 + 472*u**3/9 + 78*u**2 - 808. Let y(g) = 0. Calculate g.
-117, -1, 0
Let q(c) be the third derivative of -c**8/560 + 8*c**7/35 - 79*c**6/200 + 3*c**2 - 108*c. Factor q(l).
-3*l**3*(l - 79)*(l - 1)/5
Let g(k) be the first derivative of 2*k**3/21 - 1194*k**2/7 + 712818*k/7 + 1777. Factor g(c).
2*(c - 597)**2/7
Suppose -188*r - 2258*r + 2155 + 5183 = 0. Suppose 3/4*u**2 - 1/2*u + 0 - 1/4*u**r = 0. What is u?
0, 1, 2
Let x(b) = 416*b - 1659. Let h be x(4). Let f(c) be the third derivative of 0*c + 0*c**3 + 0 - 17*c**2 - 1/27*c**4 - 1/540*c**6 + 1/54*c**h. Factor f(g).
-2*g*(g - 4)*(g - 1)/9
Let r(w) be the first derivative of -5/4*w**4 - 17/3*w**3 - 4*w - 8*w**2 - 105. Determine b, given that r(b) = 0.
-2, -1, -2/5
Let a be 41/13 + 98/(-637). Let h be a - -2 - (-18)/(-9). Determine r, given that 0 - 2/17*r**h + 2/17*r - 2/17*r**2 + 2/17*r**4 = 0.
-1, 0, 1
Let g(x) be the first derivative of -128/7*x - 125/14*x**4 - 240/7*x**2 - 200/7*x**3 - 184. Find s, given that g(s) = 0.
-4/5
Find n such that -26894 - 486 + 1302*n**2 + 1686*n**2 + 10*n**3 + 55500*n - 4473*n**2 = 0.
1/2, 74
Determine r so that -2/7*r**3 + 0*r + 0 + 264/7*r**2 = 0.
0, 132
Let p(g) be the second derivative of 261*g**5/40 + g**4/4 - 87*g**3/4 - 3*g**2/2 - 212*g - 7. Factor p(k).
3*(k - 1)*(k + 1)*(87*k + 2)/2
Factor 1/3*m**3 + 19*m + 10*m**2 + 28/3.
(m + 1)**2*(m + 28)/3
Let z be (13/24)/(-1) + 1054/1581. Let f = 1 - 1. Determine g so that -1/4*g**3 + 0*g + 0 - z*g**4 + f*g**2 = 0.
-2, 0
Let v(y) be the first derivative of 5*y**8/448 - 3*y**7/280 - y**6/80 + 143*y**2/2 + 38. Let b(s) be the second derivative of v(s). Factor b(t).
3*t**3*(t - 1)*(5*t + 2)/4
Suppose -10*s = -3*s - 31948. Determine o so that -23*o + 15 + 4562*o**4 + 11*o**3 - s*o**4 - 21*o**2 + 4*o**3 = 0.
-1, 1/2, 3, 5
Let c(s) be the third derivative of 5*s**8/112 + 121*s**7/70 + 67*s**6/20 - 49*s**5/10 - 139*s**4/8 - 23*s**3/2 + 812*s**2. Solve c(h) = 0.
-23, -1, -1/5, 1
Factor 102242304/7*w - 140685410304/7 + 2/7*w**3 - 24768/7*w**2.
2*(w - 4128)**3/7
Suppose -2*a + 16*a + 15330 = 0. Let w = -1093 - a. Factor -10/13 - 2/13*n**w + 12/13*n.
-2*(n - 5)*(n - 1)/13
Let k(i) be the third derivative of i**7/105 + 2*i**6/5 + 157*i**5/30 + 41*i**4/2 + 112*i**3/3 - 3487*i**2. Factor k(d).
2*(d + 1)**2*(d + 8)*(d + 14)
Let c be 4*33/22*1 - (4 + -1). Let n(l) be the third derivative of 4/3*l**c - 9*l**2 + 0*l + 7/6*l**4 + 0 - 3/5*l**5. Determine a so that n(a) = 0.
-2/9, 1
Let q(m) be the third derivative of 1/24*m**5 + 0 - 101*m**2 - 1/60*m**6 - 1/2*m**3 + 0*m + 23/48*m**4. Factor q(j).
-(j - 3)*(j + 2)*(4*j - 1)/2
Suppose 10*x**3 + 2*x**4 + 8*x + 3079*x**2 - 2*x - 3065*x**2 = 0. What is x?
-3, -1, 0
Let t be 624/(-1105) + (5 - 42/10). Let n(q) be the first derivative of t*q + 28 + 1/17*q**2 - 2/51*q**3. Factor n(p).
-2*(p - 2)*(p + 1)/17
Let n(b) be the first derivative of 1/24*b**4 - 1/60*b**6 - 36*b + 1/12*b**3 + 0*b**2 + 4 - 1/40*b**5. Let h(z) be the first derivative of n(z). Factor h(u).
-u*(u - 1)*(u + 1)**2/2
Suppose -1129 = -14*b + 453. Factor 171*p**4 + 358*p**5 - 31*p**4 - b*p**5 - 2*p**3 + 22*p**3.
5*p**3*(7*p + 2)**2
Let d(y) = 1924*y**2 - 3*y - 6. Let a be d(-1). Factor -g + 4*g**2 - 1921 - g**5 - 6*g**3 + 4*g**4 + a.
-g*(g - 1)**4
Let l(h) = -106*h**2 - 3019*h + 1600. Let i be l(-29). Find t such that 45/2*t - i + 5*t**2 - 45/2*t**3 = 0.
-1, 2/9, 1
Let r(y) be the second derivative of -2/27*y**3 - 1/27*y**4 - 1/180*y**5 - 3/2*y**2 + 0 + 2*y. Let i(l) be the first derivative of r(l). Factor i(c).
-(c + 2)*(3*c + 2)/9
Let l(x) = 3*x**4 - 56*x**3 + 198*x**2 - 4*x. Let o(m) = 2*m**4 - 5*m**3 - m**2 - 2*m. Let v(z) = l(z) - 2*o(z). Factor v(d).
-d**2*(d - 4)*(d + 50)
Suppose 1450 - 138 = 5*t - 3*g, 3*t + 5*g = 760. What is j in -t*j - 7 - 50 - 55*j**2 + 117 + 45*j**3 = 0?
-2, 2/9, 3
Suppose 1786/3 + 2/3*x**3 + 3574/3*x + 1790/3*x**2 = 0. Calculate x.
-893, -1
Let y = 600332 + -1800986/3. Factor 0 + 26/3*s**2 + 13*s**3 - s + y*s**4.
s*(s + 1)*(s + 3)*(10*s - 1)/3
Let j(s) be the third derivative of 7*s**8/96 - 33*s**7/70 - 139*s**6/240 + 62*s**5/15 + 31*s**4/4 - 4*s**3/3 + 478*s**2 - s - 1. What is c in j(c) = 0?
-1, 2/49, 2, 4
Let b(c) be the second derivative of 11*c + 1 + 1/33*c**3 + 6/11*c**2 - 2/33*c**4 + 1/110*c**5. What is f in b(f) = 0?
-1, 2, 3
Let u = -8740 - -26222/3. Let k(z) be the second derivative of 0 + u*z**3 - 10*z - 8*z**2 - 1/48*z**4. Find c, given that k(c) = 0.
8
Let w(d) = 7*d**4 + 689*d**3 + 419*d**2 - 284*d. Let n(c) = 20*c**4 + 2058*c**3 + 1256*c**2 - 852*c. Let r(o) = 3*n(o) - 10*w(o). Solve r(q) = 0.
-71, -1, 0, 2/5
Let h be -10 - -3 - -1 - 898. Let c = 907 + h. Suppose -c*x - 9 - 1/4*x**2 = 0. What is x?
-6
Let i(s) be the third derivative of -s**10/9240 + s**9/5544 + s**8/12320 + 17*s**4/24 - 31*s**2. Let w(p) be the second derivative of i(p). Factor w(j).
-6*j**3*(j - 1)*(6*j + 1)/11
Factor 800*s + 6*s**2 - 120 - 444 + s**2 - 241 - 2*s**2.
5*(s - 1)*(s + 161)
Let c(w) be the second derivative of -w**6/105 - 11*w**5/14 - 205*w**4/42 - 15*w**3/7 + 306*w**2/7 + 7067*w. Determine i, given that c(i) = 0.
-51, -3, -2, 1
Let i(a) be the third derivative of -221/30*a**5 - 2*a**2 + 0*a - 5 - 169/60*a**6 - 4/3*a**3 - 14/3*a**4. Factor i(p).
-2*(p + 1)*(13*p + 2)**2
Let j(d) be the third derivative of 0 - 1/30*d**6 - 13/240*d**5 - 1/32*d**4 - 1/210*d**7 + 0*d**3 - 46*d**2 + 0*d. Let j(u) = 0. What is u?
-3, -1/2, 0
Factor -31/2*w**2 - 104*w - 1/2*w**3 + 120.
-(w - 1)*(w + 12)*(w + 20)/2
Let z(q) be the second derivative of 0 - q**2 + 0*q**3 + 17*q - 1/12*q**4 - 1/90*q**5. Let s(n) be the first derivative of z(n). Factor s(y).
-2*y*(y + 3)/3
Let s be -5*(-2)/4*(-57 - 44361/(-775)). Suppose y - 2*y + 3 = 0. Let s*k**2 + 0 + 0*k + 3/5*k**y = 0. What is k?
-1, 0
Let o = 290 - 286. Let n(l) = 191*l**2 + 289*l + 147. Let b(p) = 38*p**2 + 58*p + 29. Let f(k) = o*n(k) - 22*b(k). Factor f(r).
-2*(6*r + 5)**2
Let s(c) be the first derivative of -5*c**4/4 - 6445*c**3/3 - 3509. Factor s(i).
-5*i**2*(i + 1289)
Let p(r) be the first derivative of 5*r**4/4 + 55*r**3/3 - 5*r**2/2 - 55*r - 1862. What is x in p(x) = 0?
-11, -1, 1
Let l(u) be the second derivative of 1/6*u**3 - 1 - 74*u - 13/24*u**4 + 0*u**2 + 11/40*u**5. Factor l(j).
j*(j - 1)*(11*j - 2)/2
Let q(s) = 2*s**2 - 16*s - 15. Let g be q(11). Factor g*l - 16 - 130*l + 62*l - l**2.
-(l + 1)*(l + 16)
Suppose 2*f = 541 + 459. Let y be (f/(-175))/(-2 + 1). Find r, given that -50/7 + y*r - 2/7*r**2 = 0.
5
Let r = -528 - -529. Suppose 1 = u - r. Let -4/13*p + 0 + 2/13*p**u = 0. Calculate p.
0, 2
Let i(u) be the second derivative of -u**5/10 + 863*u**