-(y - 1)*(y + 24)/2
Find s, given that 597/5*s + 1/5*s**2 - 598/5 = 0.
-598, 1
Let a(o) be the first derivative of -o**6/12 + 6*o**5/5 - 2*o**4 - 7*o**3 + 17*o**2/4 + 15*o - 1544. Find t, given that a(t) = 0.
-1, 1, 3, 10
What is m in -2573*m**2 - 2559*m**2 - 1512 + 228*m + 5136*m**2 = 0?
-63, 6
Suppose 4 + 17 = 7*f. Let 7*n**5 - 12*n - 3*n**4 + 8*n + 5*n**3 + f*n**2 - 8*n**5 = 0. Calculate n.
-4, -1, 0, 1
Let i(u) be the second derivative of 0 - 1/5*u**5 - 3/40*u**6 + u**3 + 3/2*u**2 + 5/8*u**4 + 12*u. Let g(x) be the first derivative of i(x). Factor g(a).
-3*(a - 1)*(a + 2)*(3*a + 1)
Let z(t) be the first derivative of -2*t**3/33 - 14*t**2/11 - 96*t/11 + 6073. Solve z(b) = 0 for b.
-8, -6
Let v = 10/207 + -91/3312. Let r(t) be the third derivative of 0 + 0*t + v*t**4 - 12*t**2 + 1/120*t**5 - 1/6*t**3. Suppose r(y) = 0. Calculate y.
-2, 1
Let o(c) = -4*c**2 + 21*c + 3252. Let w be o(-26). Factor 8/3*x - 8/3 - 2/3*x**3 + 2/3*x**w.
-2*(x - 2)*(x - 1)*(x + 2)/3
Let c be -12*17/544 - (-3 - (-501)/264). Factor c*u**3 + 4/11*u + 0 + 2/11*u**4 + 10/11*u**2.
2*u*(u + 1)**2*(u + 2)/11
Suppose 213*o**3 - 15111/2*o**2 - 3/2*o**4 - 852*o + 30246 = 0. Calculate o.
-2, 2, 71
Suppose -60*o + 5586 = 366. What is w in 21/2*w**2 + o*w + 24 = 0?
-8, -2/7
Let c(m) be the second derivative of -m**4/20 + 18*m**3 - 2430*m**2 + 1940*m. Let c(g) = 0. What is g?
90
Let v(f) be the second derivative of -f**6/15 + 313*f**5/5 - 96709*f**4/6 - 131460*f**3 - 396900*f**2 + 1741*f. Factor v(z).
-2*(z - 315)**2*(z + 2)**2
Let z(w) be the second derivative of w + 0*w**4 - w**3 + 0 + 1/90*w**6 - 1/30*w**5 + 0*w**2. Let v(l) be the second derivative of z(l). Solve v(c) = 0 for c.
0, 1
Factor -174 - 8/3*m**2 - 2090/3*m.
-2*(m + 261)*(4*m + 1)/3
Let p(j) = 5*j**2 - 20*j - 25. Let g be 10/(5/15*-6). Let t(c) = 3*c**2 - 13*c - 16. Let f(o) = g*p(o) + 8*t(o). Suppose f(l) = 0. What is l?
-3, -1
Suppose -45*s = -41*s. Let x be 6 + 29/(-4) + (-20)/(-10). Factor 3/4*m - x*m**2 + s.
-3*m*(m - 1)/4
Factor -71/2*j**2 - 3/4*j**3 + 46 - 45*j.
-(j + 2)*(j + 46)*(3*j - 2)/4
Let o(r) = -r**2 - 8*r - 8. Let z be o(-4). Let j(n) be the second derivative of -6*n**2 + 0 + z*n**3 - 4*n - 7/4*n**4. Factor j(y).
-3*(y - 2)*(7*y - 2)
Factor 844*d + 11878 + 266*d + 188*d + 74*d**2 + 18*d**3 - 638*d**2 + 43818.
2*(d + 8)*(3*d - 59)**2
Find u such that -160*u + 16/5*u**4 + 108/5*u**3 + 0 - 4/5*u**5 - 56*u**2 = 0.
-4, -2, 0, 5
Let m = 104/2229 + 5959/15603. Determine k so that 9*k - m*k**2 + 0 = 0.
0, 21
Let l(y) = -35*y**2 + 5655*y + 5640. Let g(w) = 50*w**2 - 8481*w - 8461. Let o(c) = 5*g(c) + 7*l(c). Solve o(v) = 0.
-1, 565
Let t(o) be the second derivative of o**7/84 + o**6/15 - o**5/20 - o**4/3 + o**3/12 + o**2 + 1734*o. Find w, given that t(w) = 0.
-4, -1, 1
Let k(c) be the third derivative of -1/54*c**4 + 1/1890*c**7 - 1/120*c**6 + c**2 - 2 + 0*c**3 + 11/540*c**5 + 1/3024*c**8 + 0*c. Suppose k(p) = 0. What is p?
-4, 0, 1
Let v(l) = -32*l + 31*l - 4 + 4. Let q be v(-1). Find z, given that -z**2 + 13 - 3 - q - 8 = 0.
-1, 1
Let t(j) be the third derivative of 0*j - 74*j**2 + 1/285*j**5 + 1/228*j**4 + 1/1140*j**6 + 0*j**3 + 0. Factor t(y).
2*y*(y + 1)**2/19
Suppose 55*p - 60*p = -1735. Factor -341*d - 3*d**2 + p*d - 6*d**2 - 15*d**3.
-3*d*(d + 1)*(5*d - 2)
Let d(y) be the second derivative of -5*y**4/12 - 175*y**3 - 928*y. Find a, given that d(a) = 0.
-210, 0
Let v = 78/601 - -7657/1202. Find f, given that 0 + 13/2*f**2 + 3/2*f**4 + v*f**3 + 3/2*f = 0.
-3, -1, -1/3, 0
Let a = -8 - -11. Let w = 10063 - 80501/8. Suppose 0*d + 0 - w*d**4 - 1/8*d**2 + 1/8*d**5 + 3/8*d**a = 0. Calculate d.
0, 1
Suppose -4*l - 3*z + 8 = 0, -2 = 3*l - z + 5. Let u(x) = -15*x**2 + 35*x + 10. Let c(k) = k**2 + 2*k. Let q(a) = l*u(a) + 10*c(a). Find t, given that q(t) = 0.
-2/5, 1
Solve 197*l**3 - 13*l + 200*l**5 - 52*l**3 + 480 - 35*l**4 - 205*l**5 - 187*l - 380*l**2 + 125*l**3 = 0 for l.
-12, -1, 2
Let y(h) be the third derivative of 109*h**2 + 0 + 1/15*h**5 + 8/21*h**4 + 0*h + 6/7*h**3. Suppose y(c) = 0. Calculate c.
-9/7, -1
Let p = -119 + 122. Factor -g + 31*g + 147 + 12*g + p*g**2.
3*(g + 7)**2
Let m(h) be the first derivative of h**4/6 - 98*h**3/3 + 2401*h**2 - 255*h + 59. Let o(t) be the first derivative of m(t). Factor o(x).
2*(x - 49)**2
Factor 430*v + 19*v**2 + 1047 - 872 - 84*v**2.
-5*(v - 7)*(13*v + 5)
Let g be (-304)/532 - 654/56 - -22. Factor 0*l**2 - g*l - 9 + 3/4*l**3.
3*(l - 4)*(l + 1)*(l + 3)/4
Let s(n) = 17*n + 197. Let v be s(-6). Factor 130*x - 40*x - v - 8*x**2 + 18*x**2 - 5*x**2.
5*(x - 1)*(x + 19)
Let b(y) be the third derivative of y**8/16800 + y**7/900 + y**6/180 + 11*y**4/4 + 65*y**2. Let m(j) be the second derivative of b(j). Factor m(f).
2*f*(f + 2)*(f + 5)/5
Find r such that 0 - 44/3*r**4 + 986/3*r**2 - 44*r - 474*r**3 = 0.
-33, 0, 2/11, 1/2
Let i(j) be the first derivative of -1/10*j**4 + 16/15*j**3 + 0*j + 14 - 12/5*j**2. Factor i(c).
-2*c*(c - 6)*(c - 2)/5
Let g(q) = 6*q**3 - 12*q**2 + 30*q + 30. Let l(s) = s**3 - 2*s**2 - s. Let b(w) = -g(w) + 9*l(w). Determine i, given that b(i) = 0.
-2, -1, 5
Let w = 721 - 1872. Let a = w + 1154. Let 1/5*o**2 - 5/2*o - 1/5 + 5/2*o**a = 0. Calculate o.
-1, -2/25, 1
Let v(m) be the second derivative of -m**6/75 - 58*m**5/25 + 24*m**4 - 1456*m**3/15 + 976*m**2/5 + 2444*m. Solve v(u) = 0.
-122, 2
Let k(i) be the first derivative of i**3/2 + 1767*i**2/8 - 666*i + 5858. Factor k(y).
3*(y + 296)*(2*y - 3)/4
Factor 108*v + 108/7*v**3 - 4/7*v**4 + 0 - 540/7*v**2.
-4*v*(v - 21)*(v - 3)**2/7
Let o = -2713/28 + 97. Let b(c) be the first derivative of -o*c**4 + 0*c**3 + 5 + 9/14*c**2 + 6/7*c. Solve b(r) = 0 for r.
-1, 2
Factor 22472 - 2542*t**2 + 571*t**3 + 931*t**3 - 134408*t - 1514*t**3.
-2*(t + 106)**2*(6*t - 1)
Let v(o) = 14*o**2 - 957*o + 1018. Let n(h) = -20*h**2 + 1435*h - 1520. Let p(u) = 5*n(u) + 7*v(u). Factor p(l).
-2*(l - 237)*(l - 1)
Suppose 2*f + y - 28 = 0, -2*y = -f - y + 17. Let p be f*3/9 - -3. Find k such that 6*k**3 - k**4 + 2*k**2 - 3 + 3*k**5 - p*k**2 + 10*k**4 - 6*k - 3*k = 0.
-1, 1
Suppose 2*x = -5*n + 5, -3*n + n - x + 1 = 0. Let g be (15/n)/5 + -1. What is t in 2*t + g*t - 2 + 3 + t**2 = 0?
-1
Let 61/2*n - 3/2*n**2 + 1/2*n**4 - 21/2*n**3 + 21 = 0. Calculate n.
-1, 2, 21
Let o be (-3 - 17/(-5)) + 310/(-900). Let n(i) be the second derivative of i + 0*i**3 + 0 - 1/3*i**2 + o*i**4. Let n(j) = 0. What is j?
-1, 1
Suppose 215*i - 249 - 999*i**3 + 1089 + i**5 + 141*i - 250*i**2 + 906*i**3 + 10*i**4 = 0. What is i?
-15, -2, 2, 7
Let f(i) = 86*i + 6024. Let l be f(-70). Let q be (-69)/(-15) + (-1 - 0). Factor 22/5*g**3 + 2/5*g - 8/5*g**l + 2/5 - q*g**2.
-2*(g - 1)**3*(4*g + 1)/5
Determine q so that q**4 + 8*q**3 - 2*q + 4249840*q**2 - 4249835*q**2 - 12*q = 0.
-7, -2, 0, 1
Determine m, given that -106/3*m**3 + 172/3*m - 68/3 + m**4 + 131/3*m**2 = 0.
-1, 1/3, 2, 34
Let r = -133468 - -133471. Determine i so that -8*i**r - 2/5*i**4 + 46/5 - 136/5*i + 132/5*i**2 = 0.
-23, 1
Let l(g) = 5*g**2 - 26*g - 15. Let w be l(6). Let v be 2 - ((-27)/w - -2). Find k, given that -2*k**5 - 4/7*k**2 + 0*k + 2*k**v + 4/7*k**4 + 0 = 0.
-1, 0, 2/7, 1
Suppose -144/13*i - 42/13*i**4 + 2/13*i**5 + 256/13 - 184/13*i**2 + 172/13*i**3 = 0. What is i?
-1, 2, 16
Find g such that -236/3*g**2 + 0 + 32*g - 460/9*g**3 + 4/3*g**5 - 28/9*g**4 = 0.
-3, 0, 1/3, 8
Let q be (-52)/(-3) - (-19 + 16 + 17). Factor 17/3*y + 1/3*y**4 - 5/3*y**3 - q - y**2.
(y - 5)*(y - 1)**2*(y + 2)/3
Factor -247/5*q**2 - 32/5*q**3 - 1/5*q**4 + 2304/5 + 288/5*q.
-(q - 3)*(q + 3)*(q + 16)**2/5
Factor 52*a**2 + 47*a**2 + 584820 + 48*a**2 + 51*a**2 + 3420*a - 193*a**2.
5*(a + 342)**2
Let k be (-5 + (-41)/(-9))/(-109 + 108). What is z in 2/9*z**3 - 1/9*z**4 + k*z - 20/9 + 5/3*z**2 = 0?
-2, 1, 5
Let y(i) be the first derivative of 4*i**3/3 - 6*i**2 - 520*i + 985. Suppose y(x) = 0. Calculate x.
-10, 13
Factor -4668 - 3*w**5 + w**5 + 8981 + 2016*w - 1472*w**2 + 400*w**3 - 5337 - 48*w**4 + 64*w**3.
-2*(w - 2)**4*(w + 32)
Let w be 10/4 + 3/6. Suppose 3 = -a, -2*a - 6 = -0*j - 5*j. Factor r**3 - 6*r**4 - 2*r**2 + j*r**w - 12*r**3 - r - r**5 + 8 + 13*r.
-(r - 1)*(r + 1)*(r + 2)**3
Let g = 91102175/104 + -875989. Let z = g + 116/13. Suppose u - 1/8*u**3 - z*u**4 + 23/8*u**2 - 1/2 - 7/8*u**5 = 0. Calculate u.
-2, -1, 2/7, 1
D