2/3, 1
What is n in -100*n**4 - 58 - 293*n - 10*n**2 + 78*n - 5*n**5 + 168 + 69*n**3 + 151*n**3 = 0?
-22, -1, 1
Let r = 19 - 16. Suppose -z + 5 = 2*a - 2*z, z + 8 = r*a. Factor i**3 + 0*i**2 - a*i**4 - i**5 + 3*i**2 + 0*i**2.
-i**2*(i - 1)*(i + 1)*(i + 3)
Factor -29*r**3 + 7*r**3 + 110*r**2 + 505 + 455 + 26*r**3 + 70*r**2 + 824*r.
4*(r + 2)*(r + 3)*(r + 40)
Suppose 1208 = 29*h - 25*h. Suppose -153*x + 21 + 3*x**2 - 85*x + h*x = 0. What is x?
-21, -1/3
Let s(y) be the third derivative of y**8/1344 - y**7/126 + y**6/48 - 91*y**4/8 - 250*y**2. Let g(c) be the second derivative of s(c). Solve g(r) = 0.
0, 1, 3
Suppose 4480 = 413*w - 385*w. Let i be 3/10*w/192*20. Factor -5/4*v**2 - 15/4 + i*v.
-5*(v - 3)*(v - 1)/4
Let m(z) be the second derivative of -z - 8/3*z**3 + 1/15*z**5 + 7*z**2 + 0 + 1/60*z**6 - 1/3*z**4. Let w(n) be the first derivative of m(n). Factor w(f).
2*(f - 2)*(f + 2)**2
Factor 87905 + 180*t**2 + 195*t**3 - 380*t + 5*t**4 - 87905.
5*t*(t - 1)*(t + 2)*(t + 38)
Let q(f) be the third derivative of 77*f**2 + 0*f + 1/360*f**6 + 0 + 0*f**4 + 0*f**3 - 1/180*f**5. Factor q(g).
g**2*(g - 1)/3
Let o(i) be the second derivative of -5*i**4/12 - 5*i**3/3 + 1275*i**2/2 + 2022*i. Factor o(q).
-5*(q - 15)*(q + 17)
Let z be (-45)/30 - (-2 + 583). Let i = -570 - z. Let -1/6 + 5/2*o - i*o**2 + 125/6*o**3 = 0. Calculate o.
1/5
Factor 5/6*j**3 + 565/6*j + 100/3*j**2 + 185/3.
5*(j + 1)*(j + 2)*(j + 37)/6
Suppose -3*b = -30, -1246 = -4*r + 2*b - 1266. Factor -78/7*w**3 + 22/7*w**4 + 82/7*w**2 + 2/7*w**5 - 4*w + r.
2*w*(w - 1)**3*(w + 14)/7
Suppose 30 = -3*l + 36. Suppose 4*h = -5*d + 2, l*d + 2*d = -5*h - 2. Solve -606*b**2 - 3*b**5 - 15*b**3 + 616*b**d + 8*b**5 = 0 for b.
-2, 0, 1
Determine s so that 308194 + 2*s**2 + 115538 + 13702 + 537*s + 1451*s + 56584 = 0.
-497
Suppose -10*o + 6*o - 2268 = -5*q, 4*o = 12. Let y = q - 453. Find l, given that -1 + 1/4*l**y + 3/4*l**2 + 0*l = 0.
-2, 1
Let z(r) be the first derivative of r**6/3 + 276*r**5/5 + 6177*r**4/2 + 200752*r**3/3 + 682176*r**2 + 3326976*r + 3230. Let z(t) = 0. What is t?
-57, -8
Let y(p) be the first derivative of 5*p**3/6 + 495*p**2/4 + 1395*p - 9397. Factor y(c).
5*(c + 6)*(c + 93)/2
Let f(o) be the first derivative of -o**7/210 - o**6/30 - 3*o**5/50 + o**4/15 + 4*o**3/15 + 114*o + 47. Let x(s) be the first derivative of f(s). Factor x(w).
-w*(w - 1)*(w + 2)**3/5
Let n(l) be the second derivative of 0*l**2 + 4*l**3 + 94*l - 5/3*l**4 + 1/5*l**5 + 0. What is m in n(m) = 0?
0, 2, 3
Suppose -3*j - 5*y = -y - 27, j + 2*y = 11. Factor -12*l - 21*l**2 - 48*l**3 - j*l**5 + l**5 + 0*l**5 - 24*l**4 - 19*l**2.
-4*l*(l + 1)**3*(l + 3)
Let q(a) = -25*a**2 - 72845*a - 145990. Let i(c) = c**2 + 2698*c + 5407. Let g(p) = 80*i(p) + 3*q(p). Suppose g(l) = 0. What is l?
-2, 541
Let u(o) be the first derivative of 3*o**4/16 + 5*o**3 + 177*o**2/8 - 60*o + 769. Factor u(j).
3*(j - 1)*(j + 5)*(j + 16)/4
Let -3/2*s**2 + 18*s + 399/2 = 0. Calculate s.
-7, 19
Let m(k) = -5*k**3 + 10*k**2 - 16*k + 2. Let i be -2 + 20/12 - (-8)/(-3). Let f(v) = -4*v**3 + 10*v**2 - 16*v + 4. Let s(w) = i*f(w) + 2*m(w). Factor s(b).
2*(b - 2)**2*(b - 1)
Suppose 56*o = -3304 + 3472. Find t such that -16/5*t**o + 0 + 18/5*t**2 - 2/5*t = 0.
0, 1/8, 1
Let f be -13 + 2 - -5*2760/1100. Factor -f*t**2 - 2/11*t**3 - 8/11*t + 0.
-t*(t + 8)*(2*t + 1)/11
Let g = 9314/6169171 - 5/2591. Let m = g + 2387/14286. Factor 1/6*n**2 - m*n + 0 + 5/6*n**3 + 1/2*n**4.
n*(n + 1)**2*(3*n - 1)/6
Let s(j) be the second derivative of 3*j**4/2 + 106*j**3/3 - 24*j**2 - 5*j. Factor s(a).
2*(a + 12)*(9*a - 2)
Let l(s) be the third derivative of 2*s**7/105 - s**6/30 - 2*s**5/15 + s**4/2 + 7*s**3/3 + 5*s**2. Let x(c) be the first derivative of l(c). Factor x(r).
4*(r - 1)*(r + 1)*(4*r - 3)
Let p(q) be the second derivative of 21*q - 1/4*q**5 + 15*q**2 + 0 - 5/6*q**3 - 5/3*q**4. Factor p(c).
-5*(c - 1)*(c + 2)*(c + 3)
Let j(t) be the second derivative of -t**5/110 + 37*t**4/66 + 7*t**3/3 + 39*t**2/11 + 788*t. Determine n, given that j(n) = 0.
-1, 39
Let y = 691494 - 691491. Determine f, given that 6/7*f**2 + 2/21*f**4 - 10/21*f**y + 4/21 - 2/3*f = 0.
1, 2
Let n = -1013237/28 - -253430/7. What is l in -n*l + 39/4*l**2 - 3/4*l**3 + 33/4 = 0?
1, 11
Solve 2/15*n**2 + 116/3*n**3 - 2/15*n**4 + 0 - 116/3*n = 0 for n.
-1, 0, 1, 290
Let o be 756/6237*15/2. Factor -2/11*v**2 + 0 + o*v.
-2*v*(v - 5)/11
Let b(o) = -4*o**4 + o**3 + 3*o**2 - 3*o. Let u(q) = 9*q**4 - 17*q**2 - 6*q + 36. Let c(d) = -6*b(d) - 3*u(d). Find k such that c(k) = 0.
-3, 2
Let h(q) be the first derivative of -2/45*q**5 + 0*q**2 - 28 + 2/27*q**3 - 1/18*q**4 + 0*q + 1/27*q**6. Suppose h(m) = 0. What is m?
-1, 0, 1
Let q be -3 + -9*36 + -1. Let l = -326 - q. Solve 1/7*t - 1/7*t**l + 2/7 = 0 for t.
-1, 2
Let -16*c**4 + 176*c - 64 + 2*c**5 - 458*c**2 + 92*c**3 + 274*c**2 - 6*c**4 = 0. What is c?
1, 2, 4
Let j(f) be the third derivative of -1/35*f**7 + 0*f**6 - 1/112*f**8 + 1/10*f**5 + 0*f + 1/8*f**4 + 0*f**3 + 2*f**2 + 42. Factor j(o).
-3*o*(o - 1)*(o + 1)**3
Suppose 88960 = 36*q + 4*q. Factor 4 + q*n**2 - 2225*n**2 + 5 + 3 - n.
-(n - 3)*(n + 4)
Let g(n) = n**2. Let j(y) = -y**3 + 20*y**2 - 69*y + 72. Let x(d) = 5*g(d) - j(d). Let m(v) = -2*v**3 + v**2 - v. Let f(t) = m(t) + x(t). Factor f(r).
-(r - 2)**2*(r + 18)
Factor 37*s - 11*s**3 + 41*s**4 + 316 + 47*s - 38*s**4 - 10*s**3 - 66*s**2 - 100.
3*(s - 9)*(s - 2)*(s + 2)**2
Suppose -4*m = 2*a - 28, 2*m + 5*a - 30 = -0*a. Factor 95 + 28*d + 67*d - 5*d**2 - m*d.
-5*(d - 19)*(d + 1)
Let d(q) be the third derivative of 2/3*q**3 - 7/12*q**4 + 0 + 1/105*q**7 - 1/12*q**6 + 16*q + 3/10*q**5 - 2*q**2. What is s in d(s) = 0?
1, 2
Let q(y) be the third derivative of y**6/160 - 161*y**5/80 + 205*y**4 - 800*y**3 - 187*y**2. Factor q(z).
3*(z - 80)**2*(z - 1)/4
Let q be ((-1)/(-3)*(-32 - -29))/(-8). Factor -3/2 + q*z**2 - 1/8*z**3 + z.
-(z - 2)**2*(z + 3)/8
Let c(p) be the third derivative of 0*p**4 + 1/175*p**7 - p**2 + 1/25*p**5 + 2/75*p**6 - 1/15*p**3 + 0*p - 47. Factor c(x).
2*(x + 1)**3*(3*x - 1)/5
Let v(z) be the second derivative of -z**4/72 + 5*z**3/12 + 9*z**2/2 + 214*z - 1. Let v(x) = 0. Calculate x.
-3, 18
Let j = -2/1787 + 4368/709439. Let i = j - -391/1191. Factor -i*l**4 - l**3 + 0*l + 0 - 2/3*l**2.
-l**2*(l + 1)*(l + 2)/3
Let s = -2849 - -2856. Let n(m) be the third derivative of 0*m**6 - 2*m**2 + 0*m**3 + 0*m**4 + 0 - 1/150*m**5 + 1/525*m**s + 0*m. Solve n(k) = 0 for k.
-1, 0, 1
Let k(t) be the third derivative of -t**6/120 - 239*t**5/60 + 481*t**4/24 - 241*t**3/6 + t**2 + 689*t. What is u in k(u) = 0?
-241, 1
Let z(p) = p**3 + 11*p**2 - p + 4. Let s be z(-10). Let k = -109 + s. Factor -10 + 8*v**2 - k*v - v**2 - 2*v**2.
5*(v - 2)*(v + 1)
Suppose j = -0*j + 6. Let q = 8 - j. What is b in 2*b**2 + 2*b - 3*b**q + 563 - 564 = 0?
1
Let p(t) be the third derivative of -t**7/630 + t**6/18 - 7*t**5/10 - 4*t**4 + 160*t**2. Let s(x) be the second derivative of p(x). Factor s(q).
-4*(q - 7)*(q - 3)
Suppose -2130 + 1961 = x. Let f = x - -169. Find y such that -3/4*y - 1/4*y**2 + f = 0.
-3, 0
Factor 25789 + 3267 - 5021 + 365*o**2 - o**3 - 33488*o + 9089.
-(o - 182)**2*(o - 1)
Let n(a) be the third derivative of a**5/330 + 331*a**4/33 + 438244*a**3/33 + 2788*a**2. Factor n(u).
2*(u + 662)**2/11
Let b(q) = 59*q - 576. Let p be b(30). Let w = -8356/7 + p. Let -2/7*v**2 + 0 + w*v = 0. Calculate v.
0, 1
Factor -392*b + 103684 + b**2 + 108*b - 360*b.
(b - 322)**2
Let h(o) = 142*o - 80 - o**2 + 309 + 3. Let j(y) = -y**2 + 47*y + 77. Let i(l) = -3*h(l) + 8*j(l). Factor i(c).
-5*(c + 2)*(c + 8)
Let z be ((-12)/81)/((-3562)/273 + 9 - -4). Let -140/9*v**3 + z*v**4 + 304/9*v**2 - 290/9*v + 100/9 - 2/9*v**5 = 0. Calculate v.
1, 2, 5
Find y, given that -3/2*y**5 + 15*y**4 - 4125/2*y + 144*y**3 - 345*y**2 + 2250 = 0.
-5, 1, 4, 15
Factor -2999 - 601*a - 30*a**3 - 137*a + 72*a**2 - 356*a**2 + 4052 - a**4.
-(a - 1)*(a + 9)**2*(a + 13)
What is i in -8/3*i**2 + 14/9*i**3 - 256/9*i - 1/9*i**4 + 512/9 = 0?
-4, 2, 8
Let z(p) be the first derivative of 3*p**5/25 + 1197*p**4/2 + 3984013*p**3/5 + 2386818*p**2 + 11928108*p/5 + 5593. Factor z(v).
3*(v + 1)**2*(v + 1994)**2/5
Suppose 5*s - 16 = -4*y, -3 = 2*s - 2*y + 5. Suppose -146*f + 154*f = s. Factor f*a**4 + 4/3*a**3 - 2/3*a**5 + 0 + 0*a**2 - 2/3*