/5*r**4 = 0 for r.
-14, 0, 8
Factor 222/7*g**2 - 2/7*g**3 + 0 + 0*g.
-2*g**2*(g - 111)/7
Let q(z) be the first derivative of -4/3*z**3 + 32*z**2 - 256*z + 5. Find o, given that q(o) = 0.
8
Let 22472/19 + 426/19*y**2 + 22896/19*y + 2/19*y**3 = 0. Calculate y.
-106, -1
Let c be (9/3*1 + -5)*79. Let d be 0 + -7 + c/(-22). Suppose -d + 20/11*i**2 + 20/11*i**3 - 18/11*i**5 - 2/11*i - 18/11*i**4 = 0. What is i?
-1, -1/3, 1/3, 1
Let v be (15/(-20))/(-3) - (-30)/8. Suppose -2*g = 4*t - 15 + 1, -5*t + 2*g + v = 0. Let 9*p**5 - 3 + 1 - 15*p**4 - 6*p + 2 + 15*p**t - 3*p**3 = 0. What is p?
-1, 0, 2/3, 1
Suppose 4*l = 48*l - 616. Suppose i - k = 0, l = 33*i - 28*i + 2*k. What is h in 6/7*h**3 + 8/7 + 2/7*h**4 - 6/7*h - 10/7*h**i = 0?
-4, -1, 1
Let y = -493812 - -3456697/7. Factor -4/7 - i**3 - 1/7*i**4 - y*i - 15/7*i**2.
-(i + 1)**3*(i + 4)/7
Suppose 1946*h + 540 = 1937*h. Let m be 99/(-135) + (-50)/h. Let 1/10*q**4 + 1/10*q**3 - 3/10*q**2 + 1/5 - m*q = 0. Calculate q.
-2, -1, 1
Let t(s) = 2*s**2 + 50*s + 97. Let j be t(-23). Let v be -1*j*((-126)/(-30))/(-7). Factor 7/10*n**v + 0 + 3/2*n**2 + 9/10*n + 1/10*n**4.
n*(n + 1)*(n + 3)**2/10
Let s(w) be the third derivative of 2/15*w**5 + 1/10*w**6 + 0 + 0*w**3 + 2*w**2 + 2/105*w**7 + 0*w**4 + 12*w. Factor s(v).
4*v**2*(v + 1)*(v + 2)
Factor -20*w - 6355*w**5 + 3*w**4 - 23*w**4 + 20*w**2 + 15*w**3 + 6360*w**5.
5*w*(w - 2)**2*(w - 1)*(w + 1)
Factor -628/11 + 630/11*h - 2/11*h**2.
-2*(h - 314)*(h - 1)/11
Let k(f) be the first derivative of 1/30*f**5 + 5/24*f**4 + 0*f**3 + 0*f**2 + 0*f + 42. Find a such that k(a) = 0.
-5, 0
Let v(b) be the third derivative of b**5/20 - 5*b**4/3 - 41*b**3/6 + 3*b**2 - 6. Let o be v(-1). Let -16/5*h**o + 4/5*h**3 - 44/5*h - 24/5 = 0. Calculate h.
-1, 6
Let f be -276 + 270 + (-152)/(-22). Solve 4*m + 42/11 + f*m**2 = 0 for m.
-3, -7/5
Suppose -22*s = -17*s - 10. Factor -143*t**2 - 142*t**s - 140*t**2 + 404*t**2 + 3*t**3.
3*t**2*(t - 7)
Factor -428 + 4/3*u**2 + 1280/3*u.
4*(u - 1)*(u + 321)/3
Let m(u) be the first derivative of 361*u**4/120 - 19*u**3/15 + u**2/5 + 37*u + 132. Let b(q) be the first derivative of m(q). Factor b(d).
(19*d - 2)**2/10
Find z such that 1/2*z**4 + 0*z + 0 + 58*z**3 + 115/2*z**2 = 0.
-115, -1, 0
Suppose -20234 + 20078 = -4*n + 4*a, -5*a - 23 = -n. Factor -79507/3 - n*j**2 + 1849*j + 1/3*j**3.
(j - 43)**3/3
Let w be 287/(-14) - (-2)/(-4). Let o be 24/14 + 3/(w/(-2)). Suppose 5*c**3 - 2*c**4 - o*c + 6*c**2 + 8*c**3 - 11*c**3 - 4 = 0. Calculate c.
-1, 1, 2
Let o(w) be the first derivative of 1/27*w**6 - 7/9*w**2 + 0*w - w**4 - 40/27*w**3 - 54 - 8/45*w**5. Factor o(q).
2*q*(q - 7)*(q + 1)**3/9
Let j = 7644893/10 + -764489. Factor j*x**2 - 4/5 - 3/5*x + 1/10*x**3.
(x - 2)*(x + 1)*(x + 4)/10
Let n = 35 - 14. Factor -i**4 - 6*i**3 - 23*i + n*i - 6*i**2 - 4*i**4 + 3*i**4.
-2*i*(i + 1)**3
Let z(o) be the third derivative of o**8/224 + 11*o**7/105 + 247*o**6/240 + 65*o**5/12 + 16*o**4 + 24*o**3 + 241*o**2. Determine r so that z(r) = 0.
-4, -3, -2/3
Let r be (-31)/(-21) - 10/70 - 356/267. Let x(m) = 2*m**2 - 2*m. Let v be x(2). Determine w so that -8/5*w**v + 18/5*w**2 + r + 6/5*w**3 + 4/5*w = 0.
-1, -1/4, 0, 2
Let c(q) be the third derivative of 0 + 0*q + 0*q**3 - 1/160*q**6 + 1/32*q**4 + 4*q**2 + 0*q**5. Factor c(a).
-3*a*(a - 1)*(a + 1)/4
Determine a, given that -7573 - 4*a**2 + 5*a**2 - 29249 - 2*a**2 - 18874 - 472*a = 0.
-236
Factor 0 + 0*a + 40*a**2 + 1/7*a**4 + 281/7*a**3.
a**2*(a + 1)*(a + 280)/7
Let q be (33*9/(-81))/((2/(-3))/1). Let l(i) be the first derivative of -3*i**2 - 15/8*i**4 - 27 - 3/5*i**5 + 0*i + q*i**3. Suppose l(r) = 0. What is r?
-4, 0, 1/2, 1
Suppose 233 = -3*r - 3*s - 2134, 0 = -3*r + 3*s - 2343. Let n = r + 2356/3. Suppose -3*g - g**2 + n*g**3 - 5/3 = 0. Calculate g.
-1, 5
Let d = -283/4 - -71. Let r(q) be the third derivative of 5/6*q**4 + d*q**5 - 3*q**2 + 1/42*q**7 - 1/6*q**6 + 0 + 0*q - 10/3*q**3. Factor r(k).
5*(k - 2)**2*(k - 1)*(k + 1)
Let a(n) = -4*n**3 + 24*n**2 - 11*n. Let t be a(10). Let c = 6841/4 + t. Solve 0 - 1/2*j**3 - c*j**2 + 0*j - 1/4*j**4 = 0.
-1, 0
Let j(x) be the second derivative of -x**4/120 - 57*x**3/20 + 35*x**2 - 459*x - 1. Determine m, given that j(m) = 0.
-175, 4
Let g(i) be the third derivative of -5*i**8/504 - 4*i**7/105 + 29*i**6/180 + 8*i**5/15 - i**4 - 1301*i**2. Suppose g(k) = 0. What is k?
-3, -2, 0, 3/5, 2
Let d = -8282/15 - -8291/15. Let d*u**5 + 3*u**4 + 9/5*u**3 + 0 - 12/5*u - 3*u**2 = 0. Calculate u.
-4, -1, 0, 1
Let o(m) be the third derivative of 19/20*m**5 + 24 + 10*m**4 + 4*m**2 + 0*m - 50*m**3 + 1/40*m**6. Solve o(a) = 0 for a.
-10, 1
Let d = 100 - 45. Let m = -52 + d. Factor -900*w - 92*w**2 + 155*w**2 - 3*w**m - 3000 - 153*w**2.
-3*(w + 10)**3
Suppose 7 = x, 1460*x - 1464*x + 94 = 3*s. Let d(f) be the second derivative of -64/23*f**2 + 0 - 1/138*f**4 - s*f - 16/69*f**3. Solve d(u) = 0 for u.
-8
Let k = -61 - 9. Let b be (k/(-15) + 0)/((-4)/(-66)). Factor -3 - 2 + 40*z - b*z**2 - 3*z**2.
-5*(4*z - 1)**2
Suppose 5*q + 298*u - 296*u - 185 = 0, 7*q - 2*u - 235 = 0. Solve -5/3*i**2 - q*i + 110/3 = 0 for i.
-22, 1
Factor 164/5*l - 488/5*l**2 + 0 + 96*l**3 - 4/5*l**5 - 152/5*l**4.
-4*l*(l - 1)**3*(l + 41)/5
Suppose -204 + 1680*u**2 - 27*u**3 + 770*u - 170*u - 2103*u**2 = 0. What is u?
-17, 2/3
Let g be (40/35)/((-5)/(-1) + (-152)/38). Find u, given that -2/7*u**2 - 8/7 + g*u = 0.
2
Suppose 0 = -23*j - 42 + 157. Suppose -4*g + 7*g - 2*h = 2, 0 = -5*g - h + 25. Let -3 + 3/4*z**3 + 21/4*z**2 + 0*z - 9/4*z**g - 3/4*z**j = 0. Calculate z.
-2, -1, 1
Let p(a) be the second derivative of -a**6/5 - 7*a**5/5 - 19*a**4/6 - 8*a**3/3 + 7*a - 304. Suppose p(k) = 0. Calculate k.
-8/3, -1, 0
Let w(v) be the third derivative of -41/36*v**4 - 7/15*v**5 - 1/630*v**7 + 63*v**2 - 3/2*v**3 - 1 - 1/12*v**6 + 0*v. Suppose w(g) = 0. What is g?
-27, -1
Let t(k) = 511*k - 1533. Let c be t(3). Let h(q) be the second derivative of q**3 + 1/4*q**4 - 14*q + 0*q**2 + c. Find o such that h(o) = 0.
-2, 0
Let h(f) be the third derivative of -13/12*f**4 + 2*f**3 + 0 + 29/90*f**5 + 1/315*f**7 - 1/20*f**6 + 71*f**2 + 0*f. Let h(u) = 0. What is u?
1, 2, 3
Let b(m) be the first derivative of 0*m + 4/11*m**2 + 2 - 12/11*m**3 - 1/22*m**4 + 9/55*m**5. Factor b(f).
f*(f - 2)*(f + 2)*(9*f - 2)/11
Let i(f) be the third derivative of -f**5/15 - 56*f**4/3 - 218*f**3 - 701*f**2 - 2*f. What is x in i(x) = 0?
-109, -3
Let u(q) = -5*q + 112. Let h be u(21). Let v be -3 + (-4 - 0) + h. Factor 0*s**3 + v + 0*s + 0*s**2 - 1/3*s**5 + 2/3*s**4.
-s**4*(s - 2)/3
Let o(g) be the second derivative of 0*g**5 + 0 + 1/24*g**6 - 11*g + 0*g**3 + 0*g**4 - 2*g**2. Let k(i) be the first derivative of o(i). Factor k(h).
5*h**3
Suppose 4*h - 3*c = 27 - 47, 0 = -h + 4*c - 44. Factor 4/3*o**3 - 10/9*o**h + 0 + 0*o + 0*o**2 - 2/9*o**5.
-2*o**3*(o - 1)*(o + 6)/9
Let o(n) be the first derivative of 0*n + 7 + 2/5*n**2 + 3/10*n**4 - 2/25*n**5 - 1/15*n**6 + 2/3*n**3. Factor o(g).
-2*g*(g - 2)*(g + 1)**3/5
Let v = -42 + 44. Factor -2*q**2 + 0*q**v + 3*q**2 + 1711*q - 1717*q.
q*(q - 6)
Factor -7/6*t**2 + 5/3*t**3 - 2/3*t + 1/6.
(t - 1)*(2*t + 1)*(5*t - 1)/6
Let j(m) = -3*m**4 - 230*m**3 + 1052*m**2 - 1292*m + 528. Let p(h) = -h**4 - 76*h**3 + 351*h**2 - 430*h + 176. Let q(b) = -4*j(b) + 11*p(b). Factor q(k).
(k - 2)*(k - 1)**2*(k + 88)
Factor 1706/5*i + 76 - 18/5*i**2.
-2*(i - 95)*(9*i + 2)/5
Let i = -2072041 - -2047177019/988. Let a = i + -5/52. Find b, given that -10/19 - a*b + 2/19*b**2 = 0.
-1, 5
Let j(t) be the second derivative of 9*t + 0 + 16*t**2 + 1/180*t**5 + 1/18*t**3 - 1/36*t**4. Let q(b) be the first derivative of j(b). Solve q(g) = 0 for g.
1
Let a(q) = -5*q**2 + 1066*q - 210. Let v be a(213). Determine y so that y**2 - 4 - 6*y + 1/2*y**5 + 11/2*y**3 + v*y**4 = 0.
-2, -1, 1
Suppose 335 = 10*n - 0*z - 5*z, -2*z = 6. Let p be (25/(-120))/((-40)/n). Factor -2/3*g**2 - p*g**3 - 1/3 - 5/6*g.
-(g + 1)**2*(g + 2)/6
Let h(i) = i**3 - i**2 - i. Let o(m) = 7*m**4 - 19*m**3 + 10*m**2 + 9*m. Let y = 213 + -211. Let c(r) = y*o(r) + 14*h(r). Suppose c(a) = 0. Calculate a.
-2/7, 0, 1
Determine u so that 2/9*u**2 - 248/9 + 6*u = 0.
-31, 4
Let p be (16/((-96)/(-9)))/(3/(-6)). Let x be (-25)/(-20)*4 + 1*p. Factor 8/5*t**3 - 4/5*t**x + 0*t + 0 - 4/5*t**4.
-4*t**2*(t - 1)**2/5
Let i