216 = 0.
-4, 81
Factor 12*d - 3/4*d**4 + 15/2*d**2 - 21/4*d**3 + 0.
-3*d*(d - 2)*(d + 1)*(d + 8)/4
Let y(j) be the third derivative of -121*j**6/840 + 22*j**5/21 + 43*j**4/42 + 8*j**3/21 + 322*j**2. Let y(n) = 0. Calculate n.
-2/11, 4
Let c = -141 - -143. Factor -30 - 40*m + 11*m**2 - 6 - 15*m**c.
-4*(m + 1)*(m + 9)
Suppose -w - j = -34, -5*w + 2*j = 4*j - 158. Factor -1329*i**2 - w*i**5 + 1337*i**2 - 34*i**5 - 68*i**3 + 160*i**4.
-4*i**2*(i - 2)*(4*i - 1)**2
Suppose -10*k + 39 = 3*k. Suppose k = -8*x + 27. Suppose -g**2 - 1/3 + g + 1/3*g**x = 0. What is g?
1
Let t = 3023/90490 - 2/27147. Let x(v) be the third derivative of 0 + 0*v + 0*v**3 + 1/12*v**4 + 14*v**2 + t*v**5. Factor x(o).
2*o*(o + 1)
Let r = -11645 - -396191/34. Let l = r + -3/17. Find h, given that -15/2*h - 5/2*h**3 - 5/2 - l*h**2 = 0.
-1
Let c(i) be the second derivative of i**6/135 - 22*i**5 + 489059*i**4/27 + 218020*i**3/3 + 982081*i**2/9 + 1487*i. Determine b, given that c(b) = 0.
-1, 991
Let r be (-3 + (2 - 4/(-12)))*-120. Suppose -2*f - 12 = -r. Factor -10*x - 5*x**2 + f*x - 4*x - 15.
-5*(x - 3)*(x - 1)
Let x = 306363 + -306361. Factor 32 + 92/3*a - 4/3*a**x.
-4*(a - 24)*(a + 1)/3
Let t be (-3)/(-2) - (-7608)/1632. Let a = -92/17 + t. Let -147/4 + 21/2*y - a*y**2 = 0. What is y?
7
Suppose 7*w - 9*w = -4*c - 8, 0 = w + 2*c. Factor 160/9*n + 128/9 + 34/9*n**w + 2/9*n**3.
2*(n + 1)*(n + 8)**2/9
Suppose 5*f**5 + 56*f**3 + 11*f**4 - 13*f**5 + 42*f**2 + 6*f**5 - 2*f**2 + 3*f**4 = 0. Calculate f.
-2, -1, 0, 10
Let h(q) = 3*q + 142. Let z be h(11). What is g in -235*g**4 + z*g**2 + 320*g - 45*g**5 - 275*g**3 + 36 + 28 - 4 = 0?
-3, -2, -1, -2/9, 1
Let q = -117 + 29. Let z be (q - -94)/(3*1). Let 0*m - 1/5*m**5 + 0 + 3/5*m**4 - 2/5*m**3 + 0*m**z = 0. Calculate m.
0, 1, 2
Let a(s) be the third derivative of s**6/180 + s**5/15 - 5*s**4/12 - 7*s**3/3 - 2*s**2 - 4. Let v(x) be the first derivative of a(x). Factor v(b).
2*(b - 1)*(b + 5)
Let j(p) be the third derivative of -p**5/80 + 125*p**4/8 - 15625*p**3/2 - 2175*p**2. Factor j(m).
-3*(m - 250)**2/4
Determine a so that 16/9*a**5 + 0 + 2/9*a**2 - 16/9*a**3 - 2/9*a**4 + 0*a = 0.
-1, 0, 1/8, 1
Let f = 233578 + -233575. Factor 56/3 - 76/3*p + 28/3*p**f - 4*p**2 + 4/3*p**4.
4*(p - 1)**2*(p + 2)*(p + 7)/3
Let n(v) be the second derivative of -v**7/840 + 7*v**6/80 - v**4/2 - 7*v**3/6 + 61*v. Let p(t) be the third derivative of n(t). Solve p(w) = 0.
0, 21
Let v = 303 - 301. Suppose -3*y = 4*y + v*y. Factor 4/3*i**4 + 2/3*i**2 + y*i + 0 + 2*i**3.
2*i**2*(i + 1)*(2*i + 1)/3
Factor 261075/4 + 3/4*y**2 - 885/2*y.
3*(y - 295)**2/4
Let b be (-144 + 142 - (1 + (-9)/2))*2. Let t(f) be the second derivative of 0*f**b + 0*f**2 + 1/18*f**4 + 1/90*f**5 - 19*f + 0. Factor t(k).
2*k**2*(k + 3)/9
Let s(k) be the second derivative of -k**5/20 + 43*k**4/3 - 3698*k**3/3 - 3*k + 107. Factor s(m).
-m*(m - 86)**2
Let 388/5*s - 26 + 6/5*s**2 = 0. Calculate s.
-65, 1/3
Let o(k) = -k**3 + 8*k**2 + 174*k + 29. Let t be o(17). Let g = t - 383. Factor -9/4 - 39/8*u - 3/2*u**2 + 9/8*u**g.
3*(u - 3)*(u + 1)*(3*u + 2)/8
Suppose -13 = -3*i + 4*l, -3*l - 10 = -2*i + l. Suppose 6 - 5*d + d**i - 6*d**2 + 0*d**2 - 3 + 7*d**2 = 0. Calculate d.
-3, 1
Let f(x) = 3*x**2 + 11*x + 18. Let a(v) = 5*v - 8. Let n be a(2). Let c(s) = -s**2 - n*s**2 + 3*s**2 - s + s**2. Let o(i) = -c(i) + f(i). Factor o(z).
2*(z + 3)**2
Find g, given that 0*g - 2998/17*g**2 + 2/17*g**4 + 0 + 2996/17*g**3 = 0.
-1499, 0, 1
Let d(s) = -16*s**3 + 152*s**2 - 1880*s + 7996. Let v(o) = o**3 - o - 21. Let k(z) = -d(z) - 12*v(z). Suppose k(p) = 0. What is p?
11, 16
Determine i, given that -408/7 + 94/7*i**2 - 104/7*i**3 + 416/7*i + 2/7*i**4 = 0.
-2, 1, 2, 51
Let n(s) = -s**3 + 11*s**2 + 55*s + 45. Let u be n(-1). Factor -2/15*w**u + 4/15 - 2/15*w.
-2*(w - 1)*(w + 2)/15
Let d(f) be the first derivative of -2*f**5/35 - f**4/2 + 160*f**3/21 + 576*f**2/7 + 1353. Solve d(x) = 0 for x.
-8, 0, 9
Let y(k) = -19*k**2 + 2*k + 2. Let l be y(-1). Let s = l - -25. Factor -5*p**2 + 28 + s - 159 + 50*p.
-5*(p - 5)**2
Let a(m) = -24*m**2 + 81*m - 24. Let o(v) = 3*v**2 - 10*v + 3. Let r = 225 + -192. Let w(g) = r*o(g) + 4*a(g). Let w(n) = 0. Calculate n.
1
Let s(d) = -3*d**2 + 192*d - 555. Let r(w) = -6*w**2 + 382*w - 1103. Let o(y) = -6*r(y) + 11*s(y). Find n such that o(n) = 0.
3, 57
Let l(r) be the first derivative of 9*r**4/20 - 8*r**3 + 147*r**2/10 - 36*r/5 + 1280. Suppose l(n) = 0. Calculate n.
1/3, 1, 12
Let u(z) be the first derivative of 3*z**5/5 + 27*z**4/4 - 21*z**3 + 33*z**2/2 + 919. Find r such that u(r) = 0.
-11, 0, 1
Suppose 0 = 5*r - 2*r. Let a(f) = 3*f + 2. Let o be a(r). Factor -7 + 7 + 3*q**5 + 20*q**o + 2*q**5 - 15*q**4.
5*q**2*(q - 2)**2*(q + 1)
Let u(p) be the third derivative of 0 + 8/3*p**3 + 1/168*p**8 + 8/105*p**7 - 11*p + 19/15*p**5 + 5/12*p**6 - 8*p**2 + 7/3*p**4. Suppose u(b) = 0. Calculate b.
-2, -1
Let h(a) = a**2 - 47*a - 46. Let n be h(48). Suppose x + 2 = n*x. Suppose 1/3*t**x + 10/3 - 11/3*t = 0. What is t?
1, 10
Solve 84*c**2 - 186*c - 62*c**2 - 360 - 25*c**2 = 0.
-60, -2
Let l be 0 + -15 + 4818/308. Let d(x) be the first derivative of l*x**2 - 4/7*x**3 + 0*x - 26. Factor d(n).
-3*n*(4*n - 3)/7
Let g be 4/(-2)*(-30 - -32) + 7. Factor -306*x**4 + 158*x**4 + 68*x**3 + 24*x - 11*x**g + 169*x**4 - 102*x**2.
3*x*(x - 1)*(x + 4)*(7*x - 2)
Let i(g) be the first derivative of -5*g**2/2 - 8*g - 17. Let z be i(-2). What is n in 16*n**4 - 12*n**3 + 12*n**4 - 12*n**z - 31*n**4 = 0?
-2, 0
Let c be -1 - ((-165)/27)/5. Let b = 4777/3 - 1591. Suppose 4/3 - c*k - b*k**2 + 2/9*k**3 = 0. Calculate k.
-1, 1, 6
Let p(f) be the third derivative of f**7/1050 + 17*f**6/75 + 791*f**5/300 + 359*f**4/30 + 26*f**3 + 9092*f**2. Let p(i) = 0. What is i?
-130, -3, -2, -1
Let c(h) = 37*h**4 + 8*h**3 + 11*h**2 - 11*h + 11. Let z(b) = -17*b**4 - 4*b**3 - 5*b**2 + 5*b - 5. Let t(m) = 10*c(m) + 22*z(m). Factor t(w).
-4*w**3*(w + 2)
Let n(j) be the second derivative of 0 - 5/2*j**3 + 0*j**2 - 16*j - 5/12*j**4. Factor n(q).
-5*q*(q + 3)
What is m in 161/2*m**3 + 39 - 2*m**4 - 275/2*m - 94*m**2 = 0?
-1, 1/4, 2, 39
Let j(k) be the first derivative of k**6/6 + 127*k**5/5 + 1919*k**4/2 - 12286*k**3/3 + 12545*k**2/2 - 4225*k - 405. Solve j(b) = 0 for b.
-65, 1
Let j be (-4)/7*(-1 - 15/6). Let r(n) be the third derivative of 0 + 0*n**3 + 0*n**4 + 0*n - 16*n**j - 1/4*n**5 + 1/24*n**6. Let r(c) = 0. Calculate c.
0, 3
Let x(p) be the first derivative of -5*p**3/3 + 285*p**2/2 - 2530*p - 3927. Find s such that x(s) = 0.
11, 46
Let w(g) be the first derivative of 11/12*g**2 - 2/3*g + 1/24*g**4 - 1/2*g**3 + 1/30*g**5 - 40. Determine b, given that w(b) = 0.
-4, 1
Let v = 247 - 151. Let c = -94 + v. Factor -6 + 57*s - 9 - 5*s**c - 37*s.
-5*(s - 3)*(s - 1)
Let d = 957 + -1370. Let l = d - -2479/6. Factor -l*u**2 + 7/6 + u.
-(u - 7)*(u + 1)/6
Let k be (-148)/(-111) - 212/(-12). Suppose 4*v - h = 4, -2*v - 20*h + 8 = -k*h. Let -1/8*o**v - 13/4*o - 169/8 = 0. Calculate o.
-13
Determine f so that 4*f**2 + 295*f + 2*f**2 + 150 + 0*f**2 - 2*f**2 - 14*f**2 = 0.
-1/2, 30
Let b(z) be the third derivative of z**7/1260 + 11*z**6/80 - 5*z**5/18 - 168*z**2 - 5. Factor b(l).
l**2*(l - 1)*(l + 100)/6
Let u = -36 - -52. Suppose 0 = -12*t + 11*t + u. Suppose -48*b**2 - 64*b - 32 - 2*b**4 - t*b**3 + 7*b**2 - 7*b**2 + 0 = 0. What is b?
-2
Let c(b) be the third derivative of 1/600*b**6 + 0 + 0*b**3 + 0*b**4 - 1/100*b**5 - 49*b**2 + 1/525*b**7 + 0*b. Suppose c(w) = 0. What is w?
-3/2, 0, 1
Suppose -109*m + 107*m - 24 = -4*l, -30 = -m - 5*l. Factor 1/5*k**3 - 31/5*k**2 + 0*k + m.
k**2*(k - 31)/5
Let b(k) = -13*k - 2. Suppose -11*c + 4 = -7. Let d(t) = -t**2 - t + 2. Let g(o) = c*d(o) + b(o). Solve g(s) = 0.
-14, 0
Let l be ((-2884)/(-5))/(-2) - (-30)/(-50). Let m = -287 - l. Let -2/13*r**3 + 2/13*r - 2/13*r**m + 0 + 2/13*r**4 = 0. Calculate r.
-1, 0, 1
Let j(x) be the first derivative of x**6/30 - 2*x**5/25 - 3*x**4/5 - 14*x**3/15 - x**2/2 + 1836. Find a, given that j(a) = 0.
-1, 0, 5
Let k(c) be the second derivative of -6*c - 6*c**2 + 11/4*c**4 - 1 + 10*c**3. Suppose k(g) = 0. What is g?
-2, 2/11
Let p(r) = -r**2 + 4*r - 1. Let u be p(3). Suppose 12 - 24 = -u*h. Let -h - 15*q**2 + 10*q**2 + 3*q + 14*q = 0. Calculate q.
2/5, 3
Let s(y) = y**4 - y**3 - 3*y + 1. L