l(-11). Let m(y) = y**2 + 1. Let d(a) = -2*a**4 - a**3 + a**2 - a - 7. Let r(n) = o*m(n) - d(n). What is x in r(x) = 0?
-2, -1/2, 1
Let o be 0 + 2/24*30/(-350). Let x = 29/140 + o. Suppose 0 + x*l**2 + 1/5*l = 0. What is l?
-1, 0
Suppose 28*f = 363 + 1317. Suppose -3*j + f = 17*j. Factor d**2 + 1/2*d + 1/2*d**j + 0.
d*(d + 1)**2/2
Let p(n) be the first derivative of -n**5/5 - 2*n**4 - 7*n**3 - 11*n**2 - 8*n - 42. Factor p(g).
-(g + 1)**2*(g + 2)*(g + 4)
Let t(a) be the second derivative of -2*a**7/21 + 2*a**6/3 - 6*a**5/5 - 2*a**4/3 + 14*a**3/3 - 6*a**2 + 13*a. Factor t(q).
-4*(q - 3)*(q - 1)**3*(q + 1)
Suppose 200/9*f + 8/9 + 50*f**2 = 0. What is f?
-2/5, -2/45
Let p(k) be the third derivative of 0*k + 13/420*k**7 + 0*k**3 + 19/240*k**6 + 1/24*k**4 + 0 - 1/32*k**8 - 13/120*k**5 + 23*k**2. What is z in p(z) = 0?
-1, 0, 2/7, 1/3, 1
Let n(r) be the first derivative of -r**4/2 - 158*r**3/3 - 155*r**2 - 154*r + 326. Find d, given that n(d) = 0.
-77, -1
Suppose 0 + 9/4*q**5 + 19/2*q**4 + 7*q**2 + q + 53/4*q**3 = 0. What is q?
-2, -1, -2/9, 0
Let p(d) be the first derivative of 5/17*d**2 + 8/17*d - 1 + 2/51*d**3. Factor p(t).
2*(t + 1)*(t + 4)/17
Let l(t) be the first derivative of -15/16*t**4 + 5/8*t**2 + 0*t - 1/2*t**5 + 0*t**3 - 52. Factor l(y).
-5*y*(y + 1)**2*(2*y - 1)/4
Let f(t) be the third derivative of t**6/40 - t**5/4 + t**4/2 - 4*t**2 - 6. Find u such that f(u) = 0.
0, 1, 4
Let x = -787/17 - -9647/85. Let s = -67 + x. Let -9/5 - s*p**2 + 6/5*p = 0. What is p?
3
Suppose -4*b - 2 = 6, -70 = -5*h - 5*b. Suppose 3*r + 16 = h. Factor r*v + 0 - 2/3*v**2.
-2*v**2/3
Suppose 2 = u - 0. Let b = 2/148363 + 148357/445089. Factor 0 + 2/3*g**u + 0*g**3 - 2/3*g**4 - b*g**5 + 1/3*g.
-g*(g - 1)*(g + 1)**3/3
Let h = -18 + 17. Let u = h + 6. Factor -1 + 3*r**2 - u*r**2 - 4*r - 1 + 0*r.
-2*(r + 1)**2
Factor 1/2*x**3 - 16*x - 5/2*x**2 - 18.
(x - 9)*(x + 2)**2/2
Let v = 15565 + -15560. Solve 141/5*k**4 + 96/5*k + 27/5*k**v + 243/5*k**2 + 273/5*k**3 + 12/5 = 0 for k.
-2, -1, -2/9
Let b(y) be the third derivative of 1/96*y**4 + 0*y**3 - 1/240*y**5 + 0*y - 17*y**2 + 0. What is x in b(x) = 0?
0, 1
Let g(s) be the first derivative of -s**4/32 - s**3/8 + s**2/4 + 59. Let g(x) = 0. What is x?
-4, 0, 1
Let r(q) be the third derivative of q**6/360 + 2*q**5/15 + 2*q**4 + 6*q**2 - 14. Factor r(n).
n*(n + 12)**2/3
Let g(i) be the second derivative of -i**7/21 + 4*i**6/15 + i**5/5 - 2*i**4 - 3*i**3 - 542*i. Factor g(f).
-2*f*(f - 3)**2*(f + 1)**2
Let n(i) be the third derivative of i**5/30 + 101*i**4/6 + 67*i**3 + 26*i**2. Factor n(o).
2*(o + 1)*(o + 201)
Let h be 2/8*18*6. Let -27*s**2 + 4 + h*s + 2 + 48*s**2 = 0. What is s?
-1, -2/7
Suppose 13*n - 4 = -4. Let x(h) be the third derivative of 1/8*h**5 - 1/20*h**6 + 6*h**2 + 0*h**3 + 1/140*h**7 + n - 1/8*h**4 + 0*h. Let x(p) = 0. What is p?
0, 1, 2
Suppose -271 + 465 = 97*m. Suppose 27/4*x**m + 21/4*x - 21/4*x**3 - 9/2 - 9/4*x**4 = 0. Calculate x.
-3, -1, 2/3, 1
Factor 212/7*o + 2/7*o**2 + 5618/7.
2*(o + 53)**2/7
Let b be (-704)/(-520) + (-2)/10. Let d = b + 35/26. Suppose -5/2*k**2 + 0 + d*k = 0. Calculate k.
0, 1
Let d(m) be the first derivative of 4*m + 9*m**2 + 28/3*m**3 + 9/2*m**4 - 13 + 4/5*m**5. Suppose d(w) = 0. What is w?
-2, -1, -1/2
Let g(v) = v**2 - 10*v + 3. Let c be g(10). Let u = 3 + -1. Determine r so that -c*r**u - 4*r + 7*r - 12*r = 0.
-3, 0
Determine a so that 0*a + 9/7 - 1/7*a**2 = 0.
-3, 3
Suppose -11*b = 98 - 164. What is p in 8/3*p**4 + 24*p - 16/3 - 28/3*p**2 - b*p**3 = 0?
-2, 1/4, 2
Suppose 0 = -9*k + 12*k - 15. Suppose -2*a - 4 + 9*a**3 + 21*a - 29*a**2 + k*a = 0. Calculate a.
2/9, 1, 2
Let c = -2 + 4. Suppose c*o**4 + 111*o**3 - 111*o**3 = 0. What is o?
0
Let f(d) be the second derivative of 3*d**5/5 - 347*d**4/3 + 458*d**3/3 + 230*d**2 - 291*d - 1. Suppose f(y) = 0. Calculate y.
-1/3, 1, 115
Determine n so that 8/7*n**2 + 16/7 - 20/7*n - 1/7*n**3 = 0.
2, 4
Solve 5*s**2 - 3*s - 1161 + s**3 + 577 + 6*s + 575 = 0.
-3, 1
Factor -1/5*w**2 + 98/5*w - 2401/5.
-(w - 49)**2/5
Factor -8*q - 2/3*q**2 - 22/3.
-2*(q + 1)*(q + 11)/3
Let l = 3388 + -3388. Suppose -8/3*p + l - 20*p**2 = 0. What is p?
-2/15, 0
Let h = 5402 + -37812/7. Solve -h*l**2 + 0 - 6/7*l = 0.
-3, 0
Let h = 9287 + -46431/5. Factor -7/5*w**3 - h*w + 0 - 16/5*w**2.
-w*(w + 2)*(7*w + 2)/5
Let u be 14/4 - (-22)/44. Factor 5*s**u - 4*s - 6*s**4 + 4*s**3 - 2*s**2 + 3*s**4.
2*s*(s - 1)*(s + 1)*(s + 2)
Let z(q) = -567*q + 2271. Let l be z(4). Solve 36/5*u**l - 16/5*u**2 + 0 + 2*u**4 + 0*u = 0.
-4, 0, 2/5
Find q, given that 40*q - 232*q**2 + 63 + 237*q**2 + 17 = 0.
-4
Let n = -45 - -63. Suppose 2*p + n = 3*k + k, 2*k - 4*p = 24. Factor -3/2*i**k - 3*i - 3/2.
-3*(i + 1)**2/2
Let k = 1603/6 + -267. Let m(u) be the third derivative of -2*u**2 + k*u**3 + 0*u + 0 + 1/120*u**5 + 1/16*u**4. Factor m(n).
(n + 1)*(n + 2)/2
Let j = 6515 - 6512. Factor 0*y**2 + 0*y + 0 - 4/5*y**j.
-4*y**3/5
Let r(i) be the first derivative of -3/2*i**4 - 1 + 3*i**2 + i**3 + 0*i - 3/5*i**5. Factor r(o).
-3*o*(o - 1)*(o + 1)*(o + 2)
Let h(i) be the first derivative of 0*i + 0*i**2 + 1/3*i**6 - 6/5*i**5 - 2/3*i**3 + 14 + 3/2*i**4. What is z in h(z) = 0?
0, 1
Let r(b) be the second derivative of -b**5/10 + b**4/14 + 6*b**3/7 + 8*b**2/7 + 398*b. Factor r(p).
-2*(p - 2)*(p + 1)*(7*p + 4)/7
Let l = -12 - -14. Let b be (-7)/4*78/(-91). Let 0*o**l + b*o - 1 - 1/2*o**3 = 0. What is o?
-2, 1
Let q(w) be the second derivative of w**5/24 - 5*w**4/8 + 25*w**3/12 + 8*w**2 - 17*w. Let c(n) be the first derivative of q(n). Factor c(k).
5*(k - 5)*(k - 1)/2
Suppose -w = 5*y - 50, 3*y = -0*y - 4*w + 47. Suppose -9*s**2 + 103 - 53 + 6*s - 56 + y*s = 0. What is s?
2/3, 1
Let b(m) be the first derivative of -m**5/10 - m**4/12 + 4*m**3/3 - 18*m**2 - 13. Let h(d) be the second derivative of b(d). Determine l so that h(l) = 0.
-4/3, 1
Let g(x) = x**3 - 4*x**2 + 3*x - 7. Let i be g(4). Let u be (6/i + (-13 - -12))*6. Suppose u - 6/5*t**2 - 2/5*t + 2/5*t**3 = 0. What is t?
-1, 1, 3
Factor -22440*g**2 + 4 + 20*g + 4 - 4*g**4 + 22452*g**2 - 4*g**3.
-4*(g - 2)*(g + 1)**3
Suppose 3*z - 8 = 2*r, -3*z + 14 = r - 0*r. Let h be (-1 + 3/r)*0. Solve h*s**3 + 4/9*s**2 - 2/9*s**4 - 2/9 + 0*s = 0 for s.
-1, 1
Let w be -24*-20*(-2)/1184. Let z = w + 483/185. Suppose -4/5*k**4 - 6/5*k**2 + 0 - z*k**3 - 1/5*k = 0. What is k?
-1, -1/4, 0
Let p(b) be the first derivative of -2*b**5/45 - 5*b**4/18 - 2*b**3/3 - 7*b**2/9 - 4*b/9 - 202. Suppose p(n) = 0. Calculate n.
-2, -1
Factor 2109*a - 62*a**3 - 1 + a**5 + 16 + 98*a**2 + 13*a**4 + 2 - 2176*a.
(a - 1)**4*(a + 17)
Let t(v) = 3*v**4 - 126*v**3 - 1910*v**2 + 2048*v. Let s(q) = -q**4 + 63*q**3 + 956*q**2 - 1024*q. Let h(r) = -5*s(r) - 2*t(r). Find f, given that h(f) = 0.
-32, 0, 1
Let v be 5 + 84/(-18) + (-832)/(-6). Suppose 134*d = v*d. Find b, given that 3/2*b**5 - 5/2*b**4 + 1/2*b**3 + 1/2*b**2 + 0*b + d = 0.
-1/3, 0, 1
Let a(t) be the first derivative of -3*t**4/4 + 3*t**3 + 3*t**2/2 - 9*t - 35. Factor a(v).
-3*(v - 3)*(v - 1)*(v + 1)
Let b = 55 + -53. Suppose b*w = -w + 5*w. Factor -4/3*h**4 + w - 16/3*h**2 - 2*h - 14/3*h**3.
-2*h*(h + 1)**2*(2*h + 3)/3
Let y(p) = -p**2 + 2*p. Let c(t) be the first derivative of -120*t**3 - 125*t**2/2 + 10*t - 10. Let o(z) = c(z) + 25*y(z). Factor o(f).
-5*(7*f + 2)*(11*f - 1)
Factor -59/8*r + 1/2*r**3 - 3/2 - 43/8*r**2.
(r - 12)*(r + 1)*(4*r + 1)/8
Suppose 0*z = -5*z. Suppose z = -4*n + 7 + 5. Suppose 5*u**3 + u**5 - 2*u**n - 5*u**3 + u**3 = 0. Calculate u.
-1, 0, 1
Let g(a) be the first derivative of -a**6/1080 - a**5/45 - 2*a**4/9 - 40*a**3/3 - 39. Let l(z) be the third derivative of g(z). Factor l(c).
-(c + 4)**2/3
Let c(t) be the third derivative of 1/6*t**4 + 0*t + 4/3*t**3 - 1/15*t**5 + 0 + 14*t**2. Determine z so that c(z) = 0.
-1, 2
Let -2 + 989*g - 82 - 1035*g - 2*g**2 = 0. Calculate g.
-21, -2
Let f be 8/(-60) + 3/18. Let k(w) be the second derivative of -3/20*w**5 + 0*w**4 + 0 - f*w**6 + 0*w**3 - 5*w + 0*w**2. Solve k(r) = 0 for r.
-3, 0
Factor -84/5*y + 87/5 - 3/5*y**2.
-3*(y - 1)*(y + 29)/5
Suppose -8*t**3 + 59*t**3 - 11*t**3 + 336*t - 54*t**2 + 392 - 38*t**3 = 0. Calculate t.
-1, 14
Find x such that 153/2*x - 3/2*x**3 - 39 - 36*x**2 = 0.
-26, 1
Let h(t) be the first derivative of -t**4/10 - 2*t**3/3 + t**2/5 + 2*t - 93.