 + 244*h**2 - 3*h + 444*h = 0. What is h?
-2, 149
Suppose -4*o - 8 - 2 = 2. Let y(b) = -2*b - 4 - 2*b**2 - 4*b - 6. Let k(t) = -2*t**2 - 5*t - 11. Let r(z) = o*y(z) + 2*k(z). Factor r(j).
2*(j + 2)**2
Suppose -18*v + 23*v = -3*j + 18, 4*j + 11 = 5*v. Let 54/7 - 3/7*m**2 - 3/7*m**4 - 15/7*m**v + 9*m = 0. What is m?
-3, -1, 2
Let t(j) be the first derivative of -j**3 - 99*j**2 - 195*j - 1178. Find g such that t(g) = 0.
-65, -1
Let i(d) be the third derivative of -1/560*d**8 - 9/10*d**3 - 21/40*d**4 + 0 + 3/100*d**6 + 3/350*d**7 - 1/10*d**5 + 0*d + 75*d**2. Factor i(u).
-3*(u - 3)**2*(u + 1)**3/5
Let j(x) = -x**2 - 7*x - 10. Let m(d) = -d**2 + 1. Let f be m(2). Let c be j(f). What is u in 3*u**2 + 5*u**3 - 3*u**c - 13*u - 2*u - 10*u**2 = 0?
-1, 0, 3
Let f = 23536 + -23533. Solve 6/5 + 72/5*b**2 + 9*b - 48/5*b**f = 0.
-1/4, 2
Let s = 154 + -220. Let x = 70 + s. Suppose 4*w**2 - x*w + 8*w - 9*w - 11*w = 0. Calculate w.
0, 4
Let f(j) be the third derivative of 0 - 1/20*j**5 - 5*j**2 - 11/4*j**4 + 11*j + 23/2*j**3. Factor f(a).
-3*(a - 1)*(a + 23)
Suppose -243 = -7*c - 20*c. Let 15 + 18*g + 12*g**2 + 0*g**2 - c*g**2 = 0. Calculate g.
-5, -1
Let r be 36/((-8)/(-4)*1). Factor -r + 3*m**2 - 2*m**3 + 18 - m**2.
-2*m**2*(m - 1)
Let 2/9*s**2 + 8/3 + 14/9*s = 0. What is s?
-4, -3
Let w(l) = l**2 + 760*l - 8479. Let u be w(11). Factor 0 - 6*a - 14/3*a**3 - 2/3*a**4 + 34/3*a**u.
-2*a*(a - 1)**2*(a + 9)/3
Let h be (-39)/(13 - 0) - (-48)/14. Let i(k) be the second derivative of 11*k + 0 - h*k**2 + 1/84*k**4 + 1/42*k**3. Factor i(y).
(y - 2)*(y + 3)/7
Factor 8/3*x**2 + 0 + 0*x - 1/6*x**3.
-x**2*(x - 16)/6
Factor -5*r**3 + 298*r - r**4 + 298*r + 12*r**2 - 612*r + 10*r**2.
-r*(r - 2)*(r - 1)*(r + 8)
Let j(w) be the first derivative of -5*w**6/36 - w**5/6 + 5*w**4/2 - 1610. Factor j(f).
-5*f**3*(f - 3)*(f + 4)/6
Suppose 0 = -s - 4*h + 19, -1 - 7 = -2*h. Factor -182*d + 3*d**4 + 28*d**2 + 50*d + 6 - 17*d**3 + 50*d + 59*d + s*d**2.
(d - 3)*(d - 1)**2*(3*d - 2)
Factor -103/3*w - 35*w**3 + 1/3*w**4 + 69*w**2 + 0.
w*(w - 103)*(w - 1)**2/3
Let j be (-70)/(-18) - (-275)/2475. Solve -23/3*c**2 + 8/3*c**3 + 28/3*c - 4 - 1/3*c**j = 0 for c.
1, 2, 3
Let z be 9 - (2 - (5 - -2)). Determine w, given that -35*w + 10 - z - 26 + 5*w**3 = 0.
-2, -1, 3
Let l be (361/40 - 4) + 2*(-5)/2. Let x(h) be the third derivative of -l*h**5 + 3/16*h**4 + 0 - 12*h**2 + 5/2*h**3 + 0*h. Suppose x(b) = 0. What is b?
-2, 5
Let s(n) be the third derivative of -1/7*n**4 - 1/28*n**5 + 13/14*n**3 - 27*n - n**2 + 0. Determine d so that s(d) = 0.
-13/5, 1
Determine g, given that 76*g**4 + 681*g - 99*g**3 + 788*g**2 - 131*g + 4*g**5 - 110*g + 519*g**3 = 0.
-11, -5, -2, -1, 0
Let j be -2 + 0 + (122 - 104). Let s(v) be the third derivative of 0*v + 23*v**2 - 1/40*v**5 - j*v**3 - v**4 + 0. Suppose s(l) = 0. What is l?
-8
Let u = 133894/3 - 44626. Solve -1024/3*t + 2048/3 - u*t**3 + 1/6*t**4 + 64*t**2 = 0 for t.
8
Let d(u) be the third derivative of u**7/210 - 17*u**6/120 + 21*u**5/20 + 27*u**4/8 - 2*u**2 + 2*u - 295. Factor d(m).
m*(m - 9)**2*(m + 1)
Let h(t) be the first derivative of 126 + 0*t + 58*t**5 - 35/2*t**6 - 175/4*t**4 + 10*t**3 + 0*t**2. Solve h(b) = 0 for b.
0, 1/3, 3/7, 2
Suppose -72 = -12*b - 0*b. Let y be 0*b/(-54) + (-2)/(-1). Factor -103 - 7*x**2 - 262 + 41 + 3*x**y + 72*x.
-4*(x - 9)**2
Suppose 39*f - 41*f = -94. Let b = f - 44. What is y in b*y**2 + 42*y + 104 + 6 - 7 + 44 = 0?
-7
Let j(v) be the second derivative of -v**5/130 + v**4/39 + 31*v**3/39 + 28*v**2/13 + v - 1941. Factor j(c).
-2*(c - 7)*(c + 1)*(c + 4)/13
Let f(y) be the first derivative of 12*y**5/5 - 1137*y**4/4 - 2483*y**3 - 12699*y**2/2 - 2727*y + 8253. Suppose f(s) = 0. What is s?
-3, -1/4, 101
Find a, given that -1572/7*a - 4/7*a**2 + 0 = 0.
-393, 0
Let j = 3950 - 67146/17. Find v, given that 2/17*v**5 + 2/17*v - 6/17 - j*v**3 - 6/17*v**4 + 12/17*v**2 = 0.
-1, 1, 3
Determine b so that 0*b + 0 - 1/4*b**4 - 43/4*b**3 + 45/2*b**2 = 0.
-45, 0, 2
Let t(v) = -3*v**3 + 17*v**2 - 9*v + 10. Let p be t(5). Suppose p = -5*g, 2*g + 10 = 2*o - 0*g. Suppose 2/17*s + 2/17*s**o - 4/17 = 0. What is s?
-2, 1
Let d(x) be the first derivative of x**5/5 + x**4/4 - x - 6. Let s(i) = -7*i**4 + 3*i**3 + 15*i**2 - 5*i - 8. Let q(g) = -2*d(g) - s(g). Factor q(m).
5*(m - 2)*(m - 1)*(m + 1)**2
Let z(x) = 11*x - 53. Let r be z(5). Factor -439*k**r - 845*k + 154*k**2 + 851*k.
-3*k*(95*k - 2)
Let n(q) be the first derivative of -2/3*q**4 - 11/3*q**2 + 162 + 38/9*q**3 - 8/3*q. Suppose n(c) = 0. What is c?
-1/4, 1, 4
Let h(r) be the first derivative of 5*r**4/4 + 3395*r**3/3 + 571175*r**2/2 - 1744215*r - 166. Let h(c) = 0. Calculate c.
-341, 3
Let k(l) be the third derivative of 0*l - 1/240*l**6 - 10 - 4*l**2 - 5/48*l**4 + 1/6*l**3 + 1/30*l**5. Factor k(d).
-(d - 2)*(d - 1)**2/2
Let r(h) be the third derivative of 0 - 8/105*h**7 + 1/84*h**8 + 0*h**3 - 1/10*h**6 + 14/15*h**5 + 14*h - 4/3*h**4 + 5*h**2. Factor r(k).
4*k*(k - 4)*(k - 1)**2*(k + 2)
Let x(p) be the third derivative of -p**7/2310 + 3*p**6/440 + p**5/66 - 558*p**2. Solve x(c) = 0 for c.
-1, 0, 10
Let o(z) be the third derivative of -z**8/336 - z**7/280 + 3*z**6/160 - z**5/120 - 914*z**2 - z. What is x in o(x) = 0?
-2, 0, 1/4, 1
Let w(s) = 44*s**3 + 74*s**2 - 362*s + 259. Let h(f) = -44*f**3 - 76*f**2 + 360*f - 260. Let z(j) = 3*h(j) + 4*w(j). Factor z(v).
4*(v - 1)*(v + 4)*(11*v - 16)
Let g(x) be the third derivative of -x**5/180 + 49*x**4/4 - 21609*x**3/2 - x**2 - 145. Factor g(u).
-(u - 441)**2/3
Let n = 90259/120404 - -11/30101. Let b be (0 + (2 - 4))*-1. Find p such that -n - 3/4*p**b - 3/2*p = 0.
-1
Let h = -637 - -639. Determine w, given that 86*w**2 + 92*w**h - 173*w**2 + 3 - 3 + 5*w = 0.
-1, 0
Suppose 2*d - q - 4*q - 21 = 0, 4*d - 18 = 2*q. Factor 12*g**3 - 6*g**3 - 72*g**2 + 0*g**3 - g**d - 9*g**3.
-4*g**2*(g + 18)
Let b(u) be the first derivative of 1/21*u**3 - 1/2*u**2 + 282 + 12/7*u. Factor b(w).
(w - 4)*(w - 3)/7
Let u(y) = y**2 + 36*y + 106. Let z be u(-33). Suppose -z*b = -b. Factor 0*o - 3/2*o**3 - 3/4*o**5 + b + 9/4*o**4 + 0*o**2.
-3*o**3*(o - 2)*(o - 1)/4
Let j(g) be the third derivative of 2197*g**7/1785 - 4563*g**6/340 + 1027*g**5/170 - 235*g**4/204 + 2*g**3/17 - 1701*g**2. Factor j(l).
2*(l - 6)*(13*l - 1)**3/17
Solve -980*i - 987*i - 204*i**2 - 70 + 2175*i + 64*i**3 + 2*i**4 = 0.
-35, 1
Let r(m) be the second derivative of -m**4/3 + 7*m**3/6 + 33*m**2/2 - 11*m + 11. Let d(j) = -3*j**2 + 2*j + 33. Let y(i) = 3*d(i) - 2*r(i). Factor y(u).
-(u - 3)*(u + 11)
Let p(f) = 6*f - 15. Let r be p(3). Let a(q) be the first derivative of -1/6*q**4 - 4 - 2*q - 2/9*q**r + 5/3*q**2. Determine z so that a(z) = 0.
-3, 1
Let x(p) be the third derivative of p**7/1050 - 7*p**6/15 + 6533*p**5/100 + 7*p**4/3 - 1960*p**3/3 + 17*p**2 - 2*p - 35. Solve x(o) = 0 for o.
-1, 1, 140
Let x(i) be the third derivative of -19*i**5/60 - 13*i**4/24 - 5*i**3/6 + 255*i**2. Let b(n) = -12*n**2 - 6*n - 3. Let j(z) = 5*b(z) - 3*x(z). Factor j(u).
-3*u*(u - 3)
Factor 84*j + 8 - j - 32 + 35*j - 12*j**2 + 171*j.
-(j - 24)*(12*j - 1)
Let q(p) = -8*p**3 + 44*p**2 + 65*p + 37. Let k(c) = 5*c**3 - 38*c**2 - 67*c - 40. Let u(s) = -3*k(s) - 2*q(s). Factor u(g).
(g + 1)*(g + 2)*(g + 23)
Let v(m) = -m**2 + 2*m + 51. Let p be v(8). What is w in -w**2 - 170*w**p + 78 + 13*w**5 + 315*w - 213 + 2*w**5 + 331*w**2 - 35*w**4 = 0?
-3, -1, 1/3, 3
Factor -145/3*s + 26/3 + 11/3*s**2.
(s - 13)*(11*s - 2)/3
Let r(p) be the third derivative of p**6/180 + p**5/45 - 11*p**4/36 - 4*p**3/3 - 65*p**2 - 11*p. Factor r(j).
2*(j - 3)*(j + 1)*(j + 4)/3
Let o(u) be the third derivative of u**7/70 - 14*u**6/5 + 792*u**5/5 - 4320*u**4 + 65664*u**3 - 59*u**2 + u + 10. Find l such that o(l) = 0.
12, 76
Let m = -55 + 57. What is h in h**4 - 256*h**5 - 4*h**3 + 3*h**3 + h**4 - 2*h**m + 257*h**5 = 0?
-2, -1, 0, 1
Suppose -82/9*j**2 + 40/3 - 14*j**3 + 128/9*j - 2/9*j**5 - 38/9*j**4 = 0. What is j?
-15, -2, -1, 1
Let x be 3 + (-1)/(66/200). Let l = x - -205/231. Factor 15/7*t - 12/7*t**2 + 3/7*t**3 - l.
3*(t - 2)*(t - 1)**2/7
Let y(z) be the second derivative of -5*z**7/14 + 8*z**6/5 - 27*z**5/10 + 2*z**4 - z**3/2 - z - 172. Factor y(i).
-3*i*(i - 1)**3*(5*i - 1)
Let a(j) be the first derivative of -2*j**6/3 - 68*j**5/5 - 97*j**4 - 620*j**3/3 + 700*j**2