 15*w - 11*w - 12*w + 56*w.
-w*(4*w - 1)
Let n = 9311/28311 + 42/9437. Solve -2*g + 0 - 11/3*g**2 - 4/3*g**3 + n*g**4 = 0 for g.
-1, 0, 6
Let k(y) = -7*y - 34. Let i be k(-6). Solve -7*q**2 + 0*q - 2*q**2 + 4*q + i*q**2 - q**2 = 0 for q.
0, 2
Let f(w) be the third derivative of -1/240*w**5 + 1/16*w**4 + 0*w + 7/24*w**3 + 31*w**2 + 0. Suppose f(r) = 0. Calculate r.
-1, 7
Let n(j) = -2*j + 36. Let x be n(15). Suppose 3*h + x = -4*t, 3*t - 18 = -3*h + 7*t. Solve 0*u**3 - h*u**3 - 13*u + 15*u = 0.
-1, 0, 1
Suppose 629 = 842*p - 1897. Find u, given that -126/13*u + 56/13*u**2 + 36/13 - 6/13*u**p = 0.
1/3, 3, 6
Let 1/4*a**4 + 29/4*a**3 + 75/2*a**2 + 46 + 71*a = 0. What is a?
-23, -2
Let q(w) be the third derivative of 0 + 144*w**2 + 35/6*w**3 + 1/12*w**5 + 0*w - 5/3*w**4. Find b, given that q(b) = 0.
1, 7
Factor -5/3*j - 1/3*j**2 + 22.
-(j - 6)*(j + 11)/3
Let b = -655 - -665. Suppose -2 + b - 5*i**2 + 4 - i**3 - 3 - 3*i = 0. What is i?
-3, 1
Let m = -70233/11 + 6385. Suppose 6/11*c**3 + 0*c**4 - m*c**5 + 0 + 0*c + 4/11*c**2 = 0. What is c?
-1, 0, 2
Let j be (-1)/2 + ((-2)/3)/((-1625)/1235). Let x(f) be the second derivative of -1/15*f**3 + 1/50*f**5 + 1/60*f**4 + 0*f**2 - 12*f - j*f**6 + 0. Factor x(c).
-c*(c - 2)*(c - 1)*(c + 1)/5
Let m(h) = 249*h - 2238. Let f be m(9). Let n(z) be the first derivative of 9/2*z - 3/8*z**4 + 2 + 5/2*z**f - 21/4*z**2. Factor n(l).
-3*(l - 3)*(l - 1)**2/2
Factor -61/7*r + 62/7*r**2 + 20/7 - 2/7*r**4 - 20/7*r**3 + 1/7*r**5.
(r - 4)*(r - 1)**3*(r + 5)/7
Let x be (-4 - -5) + -2 + 3 + 0. Factor -12*c**2 + 6084 - 312*c + 47*c**x - 13*c**2 - 13*c**2 - 5*c**2.
4*(c - 39)**2
Let f = 1439 + -1436. Let y(j) be the second derivative of 1/12*j**4 + 0*j**2 + 0 + 5*j + 1/21*j**f. Factor y(m).
m*(7*m + 2)/7
Let z(g) be the second derivative of g**6/24 - 7*g**5/12 - 35*g**4/6 - 50*g**3/3 + 143*g**2 + 17*g. Let v(m) be the first derivative of z(m). Factor v(c).
5*(c - 10)*(c + 1)*(c + 2)
Let c(r) be the third derivative of -r**8/2856 + 4*r**7/1785 - r**6/510 - 2*r**5/255 + r**4/68 + 2*r**2 + 10*r + 69. Solve c(s) = 0 for s.
-1, 0, 1, 3
Solve -167*r**2 + 41*r**2 + 48*r**2 + 0*r**5 - 138*r**2 - 435*r**3 - 3*r**5 - 222*r**4 = 0 for r.
-72, -1, 0
Let m(v) = -9*v**3 + 17*v**2 - 4*v. Let k(g) = -g + 0*g**3 - 2*g**3 + 34*g**2 - 69*g**2 + 34*g**2. Let r(x) = -4*k(x) + m(x). Factor r(z).
-z**2*(z - 21)
Let g be -30*15/(-1050) + 113/63 + -2. Let x(h) be the second derivative of -1/27*h**4 - 1/90*h**5 + 14*h + g*h**2 + 0 + 1/27*h**3. Let x(v) = 0. Calculate v.
-2, -1, 1
Let s = 1015034 - 1015030. Solve -9/2*d**s + 16 - 99*d**2 - 48*d - 79/2*d**3 = 0 for d.
-4, -1, 2/9
Let z(x) = -2*x**4 - 26*x**3 - 4*x**2 - 20*x - 10. Let a(i) = -2*i**3 - 2*i - 1. Let u(c) = 10*a(c) - z(c). Solve u(s) = 0.
-2, -1, 0
Let n(b) be the third derivative of -5*b**8/4032 + b**7/144 + 7*b**5/5 + b**4/24 - b**2 - 27*b. Let x(k) be the third derivative of n(k). Solve x(a) = 0 for a.
0, 7/5
Let o(b) = -7*b**3 - 287*b**2 + b + 293. Let u(d) = 6*d**3 + 287*d**2 - d - 292. Let t(c) = -5*o(c) - 6*u(c). Factor t(v).
-(v - 1)*(v + 1)*(v + 287)
Suppose 25*p - 64 = 9*p. Let g = 46 + -31. Factor g*q**5 - 14*q**5 - 3*q**2 + q**p - q**3 + 2*q**4.
q**2*(q - 1)*(q + 1)*(q + 3)
Suppose 0 = -q - 5*a + 57, -41 = 631*q - 635*q - 3*a. Factor 2/13 + 8/13*p - 10/13*p**q.
-2*(p - 1)*(5*p + 1)/13
Suppose 2*u + 104 = 3*f, -u + 56 = -5*f + 234. Suppose -28*r + 31*r = f. Suppose -3 + 24*v**5 - 1 + 6*v**2 - 9*v + r*v**3 - 27*v**5 - 2 = 0. Calculate v.
-1, 1, 2
Let l(s) be the third derivative of -s**5/72 - 395*s**4/8 - 280845*s**3/4 + 39*s**2 + 15*s. Factor l(i).
-5*(i + 711)**2/6
Suppose -2/17*f**4 - 128/17*f**3 - 3844/17*f + 0 - 2170/17*f**2 = 0. Calculate f.
-31, -2, 0
Let o(m) be the third derivative of 0*m**3 + 0*m - 168*m**2 - 5/6*m**4 - 1/30*m**5 + 0. Factor o(k).
-2*k*(k + 10)
Let m(w) be the third derivative of -w**6/24 + 25*w**5/12 + 95*w**4/8 - 135*w**3/2 + 2*w**2 - 1042. Determine i so that m(i) = 0.
-3, 1, 27
Let w = -1099/3 - -1103/3. Find k such that w*k + 0 + 1/6*k**2 = 0.
-8, 0
Let v(d) = -23*d**4 + 242*d**3 - 393*d**2 + 142*d. Let x(n) = -n**4 - n**3 - n**2 - n. Let o(l) = v(l) - 8*x(l). Suppose o(j) = 0. Calculate j.
0, 2/3, 1, 15
Let n(a) be the third derivative of -73*a**2 + 0 + 0*a**7 - 9/8*a**4 - 1/1008*a**8 + 0*a**5 + 0*a**3 + 1/20*a**6 + 0*a. Factor n(u).
-u*(u - 3)**2*(u + 3)**2/3
Let z(o) be the third derivative of -8/3*o**3 - 17/24*o**4 + o**2 - 1/60*o**5 + 0*o + 40. Factor z(x).
-(x + 1)*(x + 16)
Let k(d) be the first derivative of d**4/10 + 72*d**3/5 - d**2/5 - 216*d/5 - 2063. Factor k(w).
2*(w - 1)*(w + 1)*(w + 108)/5
Let q(l) be the third derivative of -l**6/60 - 13*l**5/30 - 10*l**4/3 + 2722*l**2 - 1. Factor q(k).
-2*k*(k + 5)*(k + 8)
Let a = -1913 - -1916. Let u(c) be the third derivative of 0*c**a + 0*c**4 + 0*c - 1/70*c**7 - 3/40*c**6 + 0 - 1/10*c**5 - 12*c**2. Suppose u(r) = 0. What is r?
-2, -1, 0
Let t be -4*(3*(-2)/(-24) - 1). What is u in u**3 + 423*u - 40 - 363*u + 4*u**t - 30*u**2 = 0?
2
Let r(l) = l**3 + 5*l**2 + 2*l - 5. Suppose 10*z + 23 = -17. Let o be r(z). Let -12*n + n**o - 39 + n**3 + 39 - 2*n**2 = 0. Calculate n.
-2, 0, 3
Let y(q) = q**4 - 3*q**3 - 1. Let z(p) = -16*p**4 + 16*p**3 + 196*p**2 - 352*p + 210. Let a(r) = -36*y(r) - 2*z(r). Suppose a(u) = 0. What is u?
1, 2, 4, 12
Let t(y) = 2*y**3 + y**2 - 1. Let u(f) = -5*f**3 - 79*f**2 - 75*f + 1. Let c(r) = -t(r) - u(r). Suppose c(b) = 0. Calculate b.
-25, -1, 0
Let l(t) be the third derivative of -3/2*t**3 + 77*t**2 + 1/48*t**5 + 1/840*t**7 + 0*t - 1/4*t**4 + 1/80*t**6 + 0. Let l(q) = 0. Calculate q.
-3, -2, 2
Let m = -206858/3 - -620644/9. Solve 0 + m*a**3 + 50/9*a**2 + 2/9*a**5 + 22/9*a**4 + 0*a = 0.
-5, -1, 0
Let a be -941990*-3*(-6)/405. Let j = -41825 - a. Factor 98/9 - 7/9*c**3 - j*c + 100/9*c**2.
-(c - 7)**2*(7*c - 2)/9
Let v(d) be the first derivative of 2*d**3/15 + 26*d**2 - 798*d/5 + 1133. Factor v(z).
2*(z - 3)*(z + 133)/5
Let i = 347/803 - 238/2409. Factor 128/3 + 17/3*s**3 - 26*s**2 + 32/3*s - i*s**4.
-(s - 8)**2*(s - 2)*(s + 1)/3
Factor 0 - 12/5*f**3 + 8/5*f**2 - 2/5*f**5 + 8/5*f**4 - 2/5*f.
-2*f*(f - 1)**4/5
Let l(i) be the first derivative of -i**5 + 495*i**4/2 - 16000*i**3 - 50000*i**2 - 2761. Factor l(x).
-5*x*(x - 100)**2*(x + 2)
Let v = 7 + -5. Let t(c) = -c**3 + 5*c**2 + 3*c. Let r be t(5). What is m in r*m**v + 3*m**3 - 9*m - 3*m**4 + 18*m - 2*m + 2*m = 0?
-1, 0, 3
Let v be (7667/(-68))/(-41) + (-351)/132. Let -64/11 - 80/11*m - v*m**3 - 17/11*m**2 = 0. What is m?
-8, -1
Suppose g - 2*b - 559904 = 0, b = 448*g - 442*g - 3359248. Suppose -10077696 - 11664*c**2 + 108*c**3 + g*c - 3/8*c**4 = 0. What is c?
72
Let q(l) be the second derivative of 25*l**4/84 + 37*l**3/7 - 27*l**2/14 + 1841*l. Let q(f) = 0. What is f?
-9, 3/25
Let t be 192 - (-14)/(63/(-9)). Suppose -204*v = -t*v - 42. Factor 0 + 2/5*n**2 + 0*n + 16/5*n**v.
2*n**2*(8*n + 1)/5
Find n such that -4898*n - 5*n**3 + 2883/2 + 623/2*n**2 = 0.
3/10, 31
Let d be ((-2)/(-2) + -1)/(-1). Let w = 1/1193644 - -1193639/5968220. Factor 0*x + 1/5*x**4 - 1/5*x**3 + 1/5*x**5 + d - w*x**2.
x**2*(x - 1)*(x + 1)**2/5
Let u(z) be the first derivative of z**4/4 - 21*z**3/2 - 33*z**2 - 50*z + 142. Let s(w) be the first derivative of u(w). Factor s(g).
3*(g - 22)*(g + 1)
Suppose -2*w + 405 = 3*w. Let o = 84 - w. Factor -20*b**2 + 38*b**2 - b**3 - 14*b**2 - o*b.
-b*(b - 3)*(b - 1)
Let u(c) = 2*c**4 - 6*c**3 - 8*c**2 + 12*c + 20. Let o(d) = -19 + 9*d**2 + 3860*d + 2*d**3 + 3*d**3 - 3871*d - 2*d**4. Let z(a) = 4*o(a) + 3*u(a). Factor z(h).
-2*(h - 2)**2*(h + 1)*(h + 2)
Let w(d) be the second derivative of d**5/110 + 217*d**4/33 + 433*d**3/33 - 3914*d - 1. Factor w(c).
2*c*(c + 1)*(c + 433)/11
Let f be (29/((-609)/18))/(4/14). Let z be (2/f)/(532/(-114)). Let 2/7*i**2 - z*i**3 - 1/7*i**4 + 0 + 0*i = 0. What is i?
-2, 0, 1
Suppose 11*w + 4*i + 67 = 16*w, -2*w = 3*i - 36. Find z, given that 5/2*z**4 + 95/2*z + w + 45/2*z**3 + 105/2*z**2 = 0.
-6, -1
Suppose 3922*w = 3955*w - 99. Factor 180/7*b + 60*b**w + 426/7*b**2 + 27/7 + 21*b**4.
3*(b + 1)**2*(7*b + 3)**2/7
Let v = -336 - -338. Factor 106*u**2 - 55*u**2 - 48*u**2 - 136*u + 32 - 39*u**v.
-4*(u + 4)*(9*u - 2)
Let v(k) be the third derivative of 0 + 0*k - 5/96*k**4 - 1/12*k**5 + 5/6*k**3 + 19