19/(-3468) - 6/(-51). Let h(j) be the first derivative of 1/4*j - m*j**3 + 23 + 0*j**2. Let h(o) = 0. Calculate o.
-1, 1
Let x be (-24)/(-10)*(-3)/(-6). Let v be 95/(-57)*(0 - 6/25). Suppose v*b**4 - x*b + 6/5*b**3 + 2/5*b**2 - 4/5 = 0. Calculate b.
-2, -1, 1
Let x(y) be the second derivative of y**6/180 + y**5/30 - 4*y**3/9 - 155*y**2/2 - y + 44. Let z(f) be the first derivative of x(f). Factor z(c).
2*(c - 1)*(c + 2)**2/3
Let a(b) = 9*b**2 - 630*b + 100493. Let u(o) = 2*o**2 + o + 1. Let s(f) = 3*a(f) - 12*u(f). Find x such that s(x) = 0.
317
Let o(w) = -w + 60. Let h be o(28). Factor -h*g**2 - 39*g**3 - 36*g + 38*g**3 + 5*g**3.
4*g*(g - 9)*(g + 1)
Factor -28*s**2 + 496*s - 164*s + 4*s**3 + 108*s**2 + 40*s + 437 + 67.
4*(s + 3)**2*(s + 14)
Determine r so that -2629*r**2 + 2845*r**2 + 288 + 3*r**4 + 45*r**3 + 34*r + 386*r = 0.
-8, -3, -2
Let i = -14535 - -14537. Let y(q) be the first derivative of 0*q + 0*q**i - 1/2*q**5 + 24 - 1/12*q**6 - 7/8*q**4 - 1/2*q**3. Solve y(b) = 0 for b.
-3, -1, 0
Let k(r) = r**3 - 9*r**2 + 6*r - 52. Let d be k(9). Let b(p) be the first derivative of 3 - 9/4*p**d - 1/2*p**3 - 3*p. Factor b(q).
-3*(q + 1)*(q + 2)/2
Let q(y) be the third derivative of -4*y**7/75 - 5*y**6/6 + 3*y**5/25 - 32*y**2. What is v in q(v) = 0?
-9, 0, 1/14
Let l(i) = -i**3 - 11*i**2 + 16*i + 48. Suppose 8*c + 146 = 50. Let n be l(c). Solve -5/3*q**4 - 5*q**2 + n - 15*q + 25/3*q**3 = 0 for q.
-1, 0, 3
Factor -6218*u + 626*u**2 + 4115 - 1227 - 32*u**2 - 60*u**2 - 7*u**3 - 4042*u.
-(u - 38)**2*(7*u - 2)
Let o(f) be the first derivative of 3*f**4/4 + 45*f**3 - 2772*f**2 + 42924*f + 2039. Factor o(t).
3*(t - 14)**2*(t + 73)
Let p(q) be the third derivative of -q**5/20 - 299*q**4/8 - 735*q**3 + q**2 + 2*q - 2427. Factor p(m).
-3*(m + 5)*(m + 294)
Let 508/7*g - 16/7*g**2 - 372/7 = 0. What is g?
3/4, 31
Suppose -12567 = -4975*r + 681*r + 737 - 422. Suppose 52/9*l + 10/9*l**4 + 64/9*l**2 + 37/9*l**r + 1/9*l**5 + 16/9 = 0. What is l?
-4, -2, -1
Let d = 935 - 539. Let o be (1/20)/(33/d). Factor 0 + o*t - 12/5*t**2.
-3*t*(4*t - 1)/5
Let r(l) be the first derivative of -3*l**5/5 + 21*l**4 - 75*l**3 - 6*l**2 + 300*l + 2978. Find x, given that r(x) = 0.
-1, 2, 25
Let l = 180917/42 - 8615/2. Let z(k) be the second derivative of 0*k**2 + 2/21*k**4 - l*k**3 + 21*k + 0. Factor z(s).
2*s*(4*s - 1)/7
Let i(h) be the second derivative of 3/70*h**5 - 1/147*h**7 + 0*h**3 + 0 + 71*h + 0*h**6 + 0*h**2 + 1/21*h**4. Factor i(j).
-2*j**2*(j - 2)*(j + 1)**2/7
Let c(n) = 12*n - 168. Let x be c(13). Let j be (2/x)/(1/(-10)). Suppose 3*v**2 + 4/3 - j*v**4 - 11/3*v**3 + 16/3*v + v**5 = 0. Calculate v.
-1, -1/3, 2
Let b(w) be the second derivative of -w**6/10 + 3*w**5/10 + w**4/4 - w**3 + 10*w. Factor b(x).
-3*x*(x - 2)*(x - 1)*(x + 1)
Suppose -61 = -5*h + 6*h. Let k = 63 + h. What is a in -29*a - 12 + 3*a**k + 29*a = 0?
-2, 2
Let x = 1229988/5 + -245997. Suppose 0 + 21/5*j - x*j**2 = 0. Calculate j.
0, 7
Let w(a) be the second derivative of 6/5*a**5 - 6*a**3 - 19/4*a**4 + 2 + 3/2*a**6 + 16*a + 2/7*a**7 + 6*a**2. Find o such that w(o) = 0.
-2, -1, 1/4, 1
Suppose 3/7*p**3 + 12574116/7*p + 10638/7*p**2 + 4954201704/7 = 0. Calculate p.
-1182
Let n(v) be the first derivative of 0*v - 1/63*v**3 - 1/630*v**5 - 22*v**2 - 1/126*v**4 - 10. Let q(c) be the second derivative of n(c). Factor q(z).
-2*(z + 1)**2/21
Let k(n) = -n**3 + 17*n**2 - 27*n - 43. Let g be k(15). Suppose 3*m - q = 8, -50*m + g*q + 8 = -48*m. Factor 18/7 + 15/7*u + 3/7*u**m.
3*(u + 2)*(u + 3)/7
Suppose -41*p = -2*u - 44*p - 46, -3*u + 48 = -2*p. Suppose -19*i**2 - 5*i**u + 0 + 16*i**3 + 1/2*i**5 + 15/2*i = 0. What is i?
0, 1, 3, 5
Let d be ((-732)/2440)/(9/(-5)). Let m(n) be the second derivative of -n**3 + d*n**4 + 0*n**2 - 13*n + 0. Find r such that m(r) = 0.
0, 3
Suppose -6*n + 2*n - 5*f + 84 = 0, 0 = -4*n - f + 100. Let d be (-44)/n + (-20)/(-10). Factor -d + 2/13*r**2 - 2/13*r.
2*(r - 2)*(r + 1)/13
Let q = 4 - -9. Let n(x) = -7 + x**2 - q + 20. Let l(c) = -7*c**2 - 4*c + 4. Let r(j) = -5*l(j) - 40*n(j). Let r(m) = 0. Calculate m.
2
Let w(x) = -6*x**2 + 7665*x - 22. Let d(h) = h**2 - 1532*h + 4. Let v(p) = 11*d(p) + 2*w(p). What is a in v(a) = 0?
-1522, 0
Suppose -4*z - 3*g = -5 - 5, 2*z = 3*g - 4. Suppose x - 3 = -5*n - 5, 4*x - 4*n = 16. Find j such that -7*j**3 + 12 + z + 2 + 5*j**2 + 2*j**x + 25*j = 0.
-1, 3
Let b(r) = -2*r**2 + 2779*r. Let z be b(0). Factor z + 4/17*l**4 + 2/17*l**5 - 2/17*l - 4/17*l**2 + 0*l**3.
2*l*(l - 1)*(l + 1)**3/17
Factor 0*o + 3/2*o**5 - 513*o**2 - 66*o**4 + 711/2*o**3 + 0.
3*o**2*(o - 38)*(o - 3)**2/2
Let g(a) be the second derivative of a**4/36 + 175*a**3/9 - 353*a**2/2 + 5191*a. Solve g(p) = 0 for p.
-353, 3
Suppose -30 = -14*f - f. Suppose 35*y**2 + 128*y - 18*y**5 + 114*y**4 - 110*y**3 - 13 - 109*y**f - 27 = 0. Calculate y.
-1, 2/3, 1, 5
Suppose 2*y = 6*q - 8*q + 230, -225 = -2*q - y. Let n be -7 + 3 - 9/((-225)/q). Factor 0 - n*x**2 + 2/5*x**3 - 4/5*x.
2*x*(x - 2)*(x + 1)/5
Let p = -80 - -156. Suppose 0 = -33*s + 34*s - p. Factor q - 3*q**4 - 72*q**2 + 3*q**5 + 2*q + s*q**2 - 14*q**3 + 7*q**4.
q*(q - 1)**2*(q + 3)*(3*q + 1)
Let o(w) be the second derivative of w**5/20 + 82*w**4/3 + 433*w**3/2 + 486*w**2 + 111*w - 23. Suppose o(l) = 0. Calculate l.
-324, -3, -1
Suppose -2*v = 21*r - 16*r - 48, r - v - 18 = 0. Let k(q) be the first derivative of 9 + 10*q**2 - r*q - 8/3*q**3. Factor k(i).
-4*(i - 1)*(2*i - 3)
Let t be 868/21 - 520/26. Let d(n) be the second derivative of 0 + 2*n**5 - t*n**3 - 12*n - 256*n**2 + 8*n**4 + 2/15*n**6. Factor d(b).
4*(b - 2)*(b + 4)**3
Let r be 594/165 + 6/(-10). Suppose 0 = r*s - s - 5*s. Let -3/8*g**4 + 0*g + 3/8*g**2 + 0 + s*g**3 = 0. Calculate g.
-1, 0, 1
Let m(r) be the second derivative of -17/16*r**4 - 9/4*r**2 + 54*r + 0 + 17/8*r**3 + 21/80*r**5 - 1/40*r**6. Determine n so that m(n) = 0.
1, 2, 3
Let y = -878 + 880. Suppose n = 12*q - 13*q + 4, 0 = -4*q + y*n - 8. Factor 9/4*v + 3/4*v**2 + q.
3*v*(v + 3)/4
Let v = 9459 + -9455. Let c(p) be the third derivative of 0 - 2*p + 0*p**3 + 1/140*p**6 + 0*p**v - 1/735*p**7 + 2*p**2 - 1/105*p**5. Factor c(h).
-2*h**2*(h - 2)*(h - 1)/7
Let w(t) be the third derivative of -33 + 2/105*t**7 + 0*t + 1/6*t**4 + 13/45*t**5 + 2*t**2 + 13/90*t**6 + 0*t**3. Determine q, given that w(q) = 0.
-3, -1, -1/3, 0
Factor -495/8*i**2 - 3/8*i**4 + 0 + 21/2*i**3 - 675/4*i.
-3*i*(i - 15)**2*(i + 2)/8
Let x(y) = y**2 - 19*y - 14. Let h be x(20). Suppose -z + 42 = h*z. What is l in 6*l**2 - 4*l - l**2 - z + l**3 + 2 - 4*l**2 = 0?
-2, -1, 2
Let r(j) be the third derivative of j**8/336 - 2*j**7/35 - 187*j**6/120 - 21*j**5/10 + 153*j**4/2 - 252*j**3 - 277*j**2 + 3*j. What is o in r(o) = 0?
-6, 1, 2, 21
Suppose -19*x + 5*x + 6846 = 0. Let h = 489 - x. Find n, given that 6/5*n**2 + 0*n + h - 9/5*n**3 + 3/5*n**4 = 0.
0, 1, 2
Let w = -269914/38505 - 31/2265. Let l = w + 133/17. Suppose -l*t**2 + 0 - 4/5*t = 0. What is t?
-1, 0
Suppose 5*h + 5*p + 55 = 0, -5*p + 360 = 6*h + 413. Solve 74/3*l**h + 16/3*l - 34/3*l**3 + 4/3*l**4 - 32 = 0.
-1, 3/2, 4
Find q such that -2/21*q**2 + 244/7 + 362/21*q = 0.
-2, 183
Let m(r) be the first derivative of r**4/10 - 6*r**3/5 + 4*r**2 - 9075. Solve m(w) = 0 for w.
0, 4, 5
Let n(w) be the second derivative of 3*w**6/5 + 609*w**5/5 - 1024*w**4/3 + 958*w**3/3 - 137*w**2 - 40*w - 23. Find y such that n(y) = 0.
-137, 1/3, 1
Let j(g) be the third derivative of g**7/735 + g**6/60 - 9*g**5/70 + 29*g**4/84 - 10*g**3/21 - 530*g**2. Suppose j(o) = 0. What is o?
-10, 1
Let j be -1 + -2 + 7 + -4. Suppose 3*m - 1 - 5 = j. Let -14*u + 4*u**m - 17*u - 18*u + 25*u = 0. What is u?
0, 6
Suppose -3/7*v**4 + 36/7*v + 24/7*v**2 + 0 - 15/7*v**3 = 0. What is v?
-6, -1, 0, 2
Let a be ((-16920)/(-126))/94*(-6)/(-45)*21. Suppose 64/15*t**2 - 2/15*t**5 + 4/15*t**a + 4/5 + 46/15*t + 12/5*t**3 = 0. Calculate t.
-1, 6
Let w(m) be the first derivative of -137 + 7/8*m**4 + 3*m - 7/4*m**2 - 3/2*m**3 + 3/10*m**5. Solve w(i) = 0.
-3, -1, 2/3, 1
Let -625*m**3 - 7*m**2 + 4*m**4 + 0*m**4 - 1152 + 665*m**3 - 169*m**2 - 1056*m = 0. Calculate m.
-12, -2, 6
Suppose 5*i - 13*s = -9*s + 4, 20 = 2*i + 3*s. Suppose -i*z = -6*z - 4*t + 10, z - 6 = -3*t. Factor -72*p - 144 - 12*p**2 - 2/3*p**z.
-2*(p + 6)**3/3
Find w such that 1/2*w**4 + 7*w**3 + 7