
-(347*c + 12)**2/5
Let v(q) be the second derivative of -q**7/14 + 27*q**6/10 - 204*q**5/5 + 311*q**4 - 1248*q**3 + 2688*q**2 + 3303*q. Let v(f) = 0. Calculate f.
2, 7, 8
Let -1/5*c**3 - 1806/5*c**2 - 1087212/5*c - 218167208/5 = 0. What is c?
-602
Let q(m) = 3*m - 6. Let d be q(4). Suppose 5*j + 110 = 0, 2407*g - 2405*g + 5*j = -104. Factor d*p**3 - g*p - 15/2*p**2 + 9/2.
3*(p - 1)**2*(4*p + 3)/2
Let h(k) = -k**4 - 16*k**3 - 2*k**2 + 7*k + 3. Let j = -385 - -388. Let o(d) = 30*d**3 + 5*d**2 - 15*d - 5. Let y(q) = j*o(q) + 5*h(q). Factor y(n).
-5*n*(n - 2)*(n - 1)*(n + 1)
Factor 3/2*i**2 - 2232 - 552*i.
3*(i - 372)*(i + 4)/2
Solve -192/17*t + 0 + 2/17*t**2 = 0 for t.
0, 96
Find y, given that 460*y**2 - 103*y**5 + 188*y**3 - 102*y**3 + 170*y**5 - 192*y**5 - 115*y**4 + 424*y**3 - 40*y = 0.
-2, -1, 0, 2/25, 2
Let c = -80132/7 + 11448. Find m such that -c + 0*m + 1/7*m**2 = 0.
-2, 2
Let l(a) = -a**2 + 785*a - 787. Let g(x) = -x**2 + x + 1. Let n(r) = -3*g(r) - l(r). Find c such that n(c) = 0.
1, 196
Factor 644/3*z**3 + 9938375/3 - 1/3*z**4 + 9799700/3*z - 46010*z**2.
-(z - 215)**3*(z + 1)/3
Let t(v) = -v**3 + 12*v**2 - 10*v + 23. Let a be t(10). Let g = a - 121. Factor -6*z**2 + g - 4*z**3 - 2 + 2*z**2.
-4*z**2*(z + 1)
Suppose 84 = 2631*l - 2547*l. Factor -1/3*c**2 - l - 4/3*c.
-(c + 1)*(c + 3)/3
Let x = 332260/189 - 1758. Let i = 169/1890 - x. Determine s, given that 1/5 + i*s - 3/10*s**2 = 0.
-2/3, 1
Let s(m) = 2*m**3 + 4*m + 3. Let o(a) = -3*a**3 - 4*a - 4. Suppose -37 = -k - 1. Let r = k - 39. Let b(w) = r*o(w) - 4*s(w). What is u in b(u) = 0?
-2, 0, 2
Let z(j) be the third derivative of -j**5/80 + 511*j**4/8 - 2043*j**3/8 + 10588*j**2 + 1. Determine h, given that z(h) = 0.
1, 2043
Let v(h) be the third derivative of -h**8/30240 + h**7/756 - h**5/15 + h**4/6 + 147*h**2. Let p(r) be the third derivative of v(r). What is l in p(l) = 0?
0, 10
Let h(a) be the first derivative of 5*a**3 - 5/4*a**4 + 34 + 10*a**2 - 4/5*a**5 + 4*a. Suppose h(q) = 0. Calculate q.
-2, -1, -1/4, 2
Let x = 2903 + -2901. Let j(k) be the second derivative of -1/15*k**3 + 1/50*k**5 - 1/5*k**x + 0 + 8*k + 1/30*k**4. Factor j(b).
2*(b - 1)*(b + 1)**2/5
Let o(c) be the first derivative of c**6/240 + 9*c**5/32 - 234*c + 39. Let i(b) be the first derivative of o(b). Determine z so that i(z) = 0.
-45, 0
Let n(y) = -2*y**2 + y + 6145. Let b be n(0). Find v, given that 40*v - 3*v**4 + 21*v**3 - v + 6133 - b - 45*v**2 = 0.
1, 4
Let s be 4*((-539)/28)/(-11). Suppose -4*x + 5*h + 15 = 0, 4*x + 1 - s = 2*h. Determine b so that x + 0*b**2 - 2/3*b + 2/3*b**3 = 0.
-1, 0, 1
Let m(y) be the first derivative of -3*y**5/20 - 15*y**4/16 - 2*y**3 - 3*y**2/2 - 463. Suppose m(c) = 0. What is c?
-2, -1, 0
Let p(t) be the third derivative of -2*t**6/27 - 13*t**5/135 + 13*t**4/36 + t**3 - 2509*t**2. Determine v, given that p(v) = 0.
-9/10, -3/4, 1
Let y = 660526/3 + -220172. What is l in y*l**2 - 25*l + 70/3*l**3 - 15*l**4 + 5/3*l**5 + 35/3 = 0?
-1, 1, 7
Let w = 581 - -211. Let y = 3976/5 - w. Determine d, given that -2/5*d**4 - y*d**2 + 18/5 + 12/5*d**3 - 12/5*d = 0.
-1, 1, 3
Let s(d) be the second derivative of 3/20*d**5 - 160*d + 3/16*d**4 + 1/40*d**6 + 0*d**3 + 0 + 0*d**2. Factor s(y).
3*y**2*(y + 1)*(y + 3)/4
What is p in 0 - 268 + 72 - 695*p - 152 - 5*p**2 - 342 = 0?
-138, -1
Suppose 7*a**3 + 0*a + 0 + 1/4*a**4 + 0*a**2 = 0. Calculate a.
-28, 0
Let a(k) = 1. Let q(u) = -3*u + 1. Let h(t) = 4*a(t) - q(t). Let z be h(2). Find s, given that -3*s - s - z*s**2 + 16*s**3 - s**2 - 10*s**3 = 0.
-1/3, 0, 2
Let t be 3 + (-3 - 2112/(-7336)). Let v = t + -2/917. Factor -v*o - 2/7*o**2 + 2/7*o**3 + 2/7.
2*(o - 1)**2*(o + 1)/7
Let o = -30966 - -30969. Solve -18/11*s + 6/11*s**o - 24/11*s**2 + 108/11 = 0 for s.
-2, 3
Let f(t) be the third derivative of -t**10/529200 - t**9/211680 + t**5/15 - 39*t**2 + 2. Let z(a) be the third derivative of f(a). Factor z(r).
-2*r**3*(r + 1)/7
Suppose 10 = 3*g + 16*z - 18*z, 0 = 2*g + 4*z - 28. Suppose -15*r + 45 = -g*r. Solve -8/3 + 23/6*d**3 + 1/6*d**r + 3/2*d**4 - 4*d + 7/6*d**2 = 0.
-4, -1, 1
Let n(i) be the third derivative of 2*i**2 + 0*i + 0*i**3 + 1/90*i**5 - 5/18*i**4 + 20. Factor n(t).
2*t*(t - 10)/3
Factor 6/5*b**4 - 13/5*b**3 + 8/5*b**2 - 1/5*b + 0.
b*(b - 1)**2*(6*b - 1)/5
Suppose 334420 + 21*g**2 + 416*g + 25*g**2 - 334402 = 0. What is g?
-9, -1/23
Let r = 2641613/14528690 - 3/1320790. Factor 18/11*a + r*a**2 + 16/11.
2*(a + 1)*(a + 8)/11
Let d(b) be the third derivative of 12769*b**5/60 - 113*b**4/12 + b**3/6 - 3851*b**2. Solve d(j) = 0.
1/113
Let h = -86 - -88. Factor 12*u - 36*u**3 + 60*u**3 - 8 + h*u**2 + 6*u**4 - 35*u**3 - u**5.
-(u - 2)**3*(u - 1)*(u + 1)
Let f(s) = 311*s**3 - 7367*s**2 + 45498*s - 38416. Let l(w) = -78*w**3 + 1842*w**2 - 11374*w + 9604. Let i(j) = 12*f(j) + 52*l(j). Let i(z) = 0. Calculate z.
1, 98/9
Suppose 2/11 + 2/11*u**4 - 24/11*u**3 - 4/11*u**2 + 12/11*u**5 + 12/11*u = 0. What is u?
-1, -1/6, 1
Let t = 96 - 60. Let c(q) = -q. Let r(f) be the third derivative of -f**5/60 - 7*f**4/24 - f**3/6 - 268*f**2 - f. Let h(i) = t*c(i) - 4*r(i). Factor h(d).
4*(d - 1)**2
Let b(z) be the first derivative of -z**3/24 + 323*z**2/8 - 104329*z/8 - 307. Factor b(w).
-(w - 323)**2/8
Let h be 12/42 - ((-72)/(-7) + -10). Let j(o) be the third derivative of 0 + h*o**3 - o**2 + 0*o - 1/36*o**4 + 1/45*o**5 - 1/180*o**6. Factor j(g).
-2*g*(g - 1)**2/3
Suppose -2*z - 11 = -6*z - n, 0 = -2*z + n + 1. Factor 12*k**2 + 39*k**2 - 7*k**3 - 5*k**2 + 80*k + z*k**3 + 29*k**2.
-5*k*(k - 16)*(k + 1)
Let p be (-4)/(-18) + (-75)/(-27). Suppose -p - 5 = -4*c. Let -3*r**4 - 24*r**2 - 2 + 19*r**c + 9*r + 10*r**4 - 9*r**3 = 0. What is r?
-1, 2/7, 1
Suppose 0 = 13*a - 327 + 262. Let d(o) be the second derivative of -3/40*o**a + 0*o**2 + 0*o**3 - 13*o + 1/12*o**6 - 1/12*o**4 + 0. Solve d(g) = 0 for g.
-2/5, 0, 1
Let j(m) = -2*m**3 - 67*m**2 - 442*m + 1123. Let t(g) = g**2 + 11. Let w(b) = j(b) + 3*t(b). Determine k, given that w(k) = 0.
-17, 2
Let n be ((0/2)/(-11))/(1 + -3) - 0. Let i(x) be the third derivative of x**2 - 1/30*x**5 + n*x + 0 + 1/4*x**4 - 2/3*x**3. Suppose i(k) = 0. Calculate k.
1, 2
Factor 405/4 + 63/4*h**2 + 297/4*h + 3/4*h**3.
3*(h + 3)**2*(h + 15)/4
Let o(g) = -9*g**3 - 7*g**2 - 3*g + 3. Let h be o(-3). Factor 720*j**2 - 128*j + 22*j**4 - h*j - 485*j**3 + 68*j**4 - 5*j**5.
-5*j*(j - 8)**2*(j - 1)**2
Let a be (-25)/50*(2/2 - 5). Let -50*v**2 + 13 + 36*v + 27 + 46*v**a = 0. Calculate v.
-1, 10
Let u be 31/279*(3 - -3). Let i(a) be the first derivative of 6/5*a**5 + u*a**3 + 0*a + 3/2*a**4 + 5 + 0*a**2 + 1/3*a**6. Factor i(j).
2*j**2*(j + 1)**3
Let i(s) be the third derivative of s**7/210 + 167*s**6/120 - 171*s**5/10 + 517*s**4/6 - 692*s**3/3 - 842*s**2. Factor i(w).
(w - 2)**3*(w + 173)
Suppose 36*s - 125 = 11*s. Factor s*x**3 - 440*x + 485*x**2 + 501*x**2 + 1040 - 961*x**2.
5*(x - 4)**2*(x + 13)
Suppose -g + 0*n + 16 = -2*n, 4*g - 52 = 2*n. Suppose g*b = b + 33. Let 7*a - b*a + 0*a + 2*a**2 + 2 = 0. What is a?
-1
Factor -3/2*g**2 - 4530*g - 3420150.
-3*(g + 1510)**2/2
Let b be 5/30*-2*-15. Suppose -3*n = -3*y + 15, 2*y + 9*n = 8*n - b. Suppose -1/2*j**4 + 0 + 2*j**2 + 3/2*j**3 + y*j = 0. What is j?
-1, 0, 4
Let c(q) = q**2 - q. Let o = 223 - 221. Let m(r) = -r**3 + 7*r**2 - 10*r. Let p(f) = o*c(f) - 2*m(f). Suppose p(u) = 0. Calculate u.
0, 3
Suppose -131 = -5*m + 4. Let x be (8 - 222/m)*(-9)/6. Find r, given that 0 + r + x*r**2 = 0.
-3, 0
Let v be (42/(-56) + 1)/(36/32). Let p(t) be the first derivative of -v*t**3 + 0*t - 1/6*t**4 + 8 + 2/3*t**2. Let p(d) = 0. Calculate d.
-2, 0, 1
Suppose -88*s + 90*s - 3*p = 35, -5*s - 2*p = -2. Let x(g) be the first derivative of 0*g**2 + 2/69*g**3 + 0*g + 25 - 1/46*g**s. Factor x(b).
-2*b**2*(b - 1)/23
Let z(n) be the second derivative of -1/75*n**6 + 7/60*n**4 + 0*n**5 - 3 - 19*n - 17/60*n**3 + 3/10*n**2 + 1/420*n**7. Solve z(h) = 0 for h.
-2, 1, 3
Let y(t) = t**2 + 157*t - 5178. Let x be y(28). Let s(v) be the second derivative of 13/15*v**3 + 0 + 0*v**x - 1/30*v**4 + 10*v. Factor s(n).
-2*n*(n - 13)/5
Let a = 1861/2001 - 129/1334. Factor 35/6*x - a*x**3 + 10/3 + 5/3*x**2.
-5*(x - 4)*(x + 1)**2/6
Suppose 25 + 38 = 21*n. Factor 2*f**2 - 6*f**2 + 0*f**2 + 3*f + f**n.
f*(f - 3)*(f - 1)
Let m(b) = 18*b**4 - 18*b**3 +