3 - (2 - -29)*2/22. Let j(i) = -54*i + 272. Let g be j(5). Factor -1/11*d**g - 1/11*d + z.
-(d - 1)*(d + 2)/11
Let g = -1/626 - -157/313. Let b(q) be the first derivative of g*q**2 + 14 + 0*q - 1/6*q**3. Factor b(h).
-h*(h - 2)/2
Let r(w) be the second derivative of 28*w - 61/6*w**3 + 9*w**2 - 7/12*w**4 + 3. Factor r(a).
-(a + 9)*(7*a - 2)
Let s(k) = 9*k**5 + 492*k**4 + 3878*k**3 + 7275*k**2 + 5104*k + 1233. Let h(i) = -i**5 - 2*i**4 + i**2 + 1. Let p(m) = 9*h(m) - s(m). Let p(q) = 0. What is q?
-17, -9, -1, -2/3
Let c be 3197 - (6 - (-10 - -7)). Solve 1594*w**2 + 1591*w**2 - c*w**2 + 3*w**4 = 0.
-1, 0, 1
Suppose 0 = 2*o + 5*n + 26, 4*n - 170 = 2*o - 180. Let s be 3/(-12) - (o + (-12)/(-16)). Factor 44/5*j**3 + 16/5*j + s*j**4 + 56/5*j**2 + 0.
2*j*(j + 2)**2*(5*j + 2)/5
Let j be (42/35)/(1/70). Factor 2450 - 87*a + 31*a - j*a + 17*a**2 - 15*a**2.
2*(a - 35)**2
Let g(d) be the first derivative of -6 + 27*d**2 + 1215*d + d**3 - 1 + 1137*d + 57*d**2 - 12. Solve g(k) = 0.
-28
Suppose -14*d + 16*d = -43*d + 84 + 51. Suppose 165/8*y + 3/8*y**d + 57/8*y**2 - 1089/8 = 0. Calculate y.
-11, 3
Let g(s) be the second derivative of -s**4/42 + 135*s**3/7 + 814*s**2/7 + 83*s - 5. Determine n so that g(n) = 0.
-2, 407
Suppose 3*u + 3 = 0, 5*z + 13 = 7*z - 5*u. Let -168*h + 117*h**2 + 22 - 70 + 87*h**3 + 1725*h**z - 1713*h**4 = 0. What is h?
-4, -1/4, 1
Let f(u) be the first derivative of 2*u**5/5 - 68*u**3 - 200*u**2 - 198*u + 1001. Let f(k) = 0. Calculate k.
-9, -1, 11
Suppose 28*w - 414 = -218. Let a(h) be the first derivative of -3*h**2 + 0*h + 4/3*h**3 - w + 1/2*h**4. Find v, given that a(v) = 0.
-3, 0, 1
Let d(q) = 0*q**2 - q**2 - 13*q + 2*q**2 - 9. Let b be d(14). Let 1 + 34*z**2 + b + 3 - 14*z**3 - 18*z**5 + 32*z - 42*z**4 - 1 = 0. What is z?
-1, -2/3, 1
Let k(t) = -2*t**2 + 14*t - 12. Let b be k(6). Let y be 804/72 - (-4 + 15). Suppose 1/2*z + b + y*z**2 = 0. What is z?
-3, 0
Let z(i) = -i**3 + 2*i**2 + i - 4. Let m be z(0). Let h(u) = -2*u + 1. Let f(y) = 2*y**2 - 4*y + 6. Let d(o) = m*h(o) - 2*f(o). Factor d(v).
-4*(v - 2)**2
Let q be (22/11*2)/18. Factor q*s**2 + 44/9 - 46/9*s.
2*(s - 22)*(s - 1)/9
Solve 23615*p**2 - 803*p**3 + 53*p**4 + 7152*p - 240 - p**5 + 4272 - 21352*p**2 = 0 for p.
-1, 7, 24
Let d = -139 - -147. Factor -12 + d*q - 3*q**2 + q + 0 + 6.
-3*(q - 2)*(q - 1)
Let p(g) be the first derivative of 1/80*g**6 + 7 + 0*g - 1/5*g**5 + 0*g**3 + 13/2*g**2 + g**4. Let z(x) be the second derivative of p(x). Factor z(c).
3*c*(c - 4)**2/2
Let v(s) be the second derivative of 1/14*s**7 + 0*s**3 + 23*s + 1/2*s**4 + 0 + 3/4*s**5 + 2/5*s**6 + 0*s**2. Factor v(r).
3*r**2*(r + 1)**2*(r + 2)
Let b(d) be the third derivative of d**7/630 - d**6/24 - 13*d**5/45 - d**4/2 + 4*d**2 - 8*d + 5. Factor b(i).
i*(i - 18)*(i + 1)*(i + 2)/3
Let w(l) be the second derivative of 0 + 1/24*l**4 + 0*l**2 + 1/1440*l**6 + 20*l + 1/120*l**5 + l**3. Let d(b) be the second derivative of w(b). Factor d(a).
(a + 2)**2/4
Let z(s) be the third derivative of 0*s**3 + 0*s - 2*s**2 - 1/30*s**5 - 2 - 9/2*s**4. Find a, given that z(a) = 0.
-54, 0
Let x(s) be the second derivative of s**5/40 + s**4/24 - 3*s**3 - 9*s**2 - 1036*s. Factor x(m).
(m - 6)*(m + 1)*(m + 6)/2
Let y(f) be the third derivative of 1/15*f**5 + 0 - 42*f**2 - 16/3*f**3 + 0*f - 7/6*f**4. Let y(g) = 0. Calculate g.
-1, 8
Let g(s) be the second derivative of -4*s**6/135 + 5*s**5/18 - s**4/9 + 273*s + 2. Determine u, given that g(u) = 0.
0, 1/4, 6
Let a(l) be the third derivative of -l**8/112 - 9*l**7/70 - 7*l**6/20 + 17*l**5/10 + 15*l**4/8 - 25*l**3/2 + 1906*l**2. What is d in a(d) = 0?
-5, -1, 1
Let t(d) be the second derivative of 3*d**5/80 + 293*d**4/16 - 443*d**3/4 + 222*d**2 - d + 348. Find m such that t(m) = 0.
-296, 1, 2
Let b(r) = 2*r**3 + 21*r**2 + 8*r - 16. Let q be b(-10). Solve 19*n**2 - 35739*n**3 + n**2 + 35789*n**3 - 200*n - 5*n**q = 0.
-2, 0, 2, 10
Let z = 186899/223364 + 63/11756. Factor -30/19 - 86/19*q - z*q**2.
-2*(q + 5)*(8*q + 3)/19
Let y = -73/18 + 260/63. Let w(j) be the third derivative of -16*j**2 + 0 + y*j**4 + 2/105*j**5 + 0*j - 4/21*j**3. Find d such that w(d) = 0.
-2, 1/2
What is a in -1483*a**2 - 602 + 1484*a**2 + 169 - 432*a = 0?
-1, 433
Let y be 7 + (28/(-8) - -1*15/6). Let z(g) be the second derivative of -1/14*g**7 - 1/2*g**4 + 3/5*g**5 + 0*g**y + 3*g**2 + 0 + 3*g - 3/2*g**3. Factor z(u).
-3*(u - 1)**3*(u + 1)*(u + 2)
Let n = -64 + 69. Suppose -15 = -4*f - 2*l - 3, n*f - 15 = l. Solve 1/4*g**5 + 13/4*g**f + g + 0 - 3/2*g**4 - 3*g**2 = 0 for g.
0, 1, 2
Let s(a) be the third derivative of -a**6/210 + 2*a**5/35 + 3*a**4/14 - 4*a**3/3 + 53*a**2 + 1. Solve s(x) = 0 for x.
-2, 1, 7
Let q(j) be the first derivative of j**6/1260 + j**5/60 + j**4/14 - 28*j**3/3 - j**2/2 - 1. Let c(h) be the third derivative of q(h). Factor c(p).
2*(p + 1)*(p + 6)/7
Suppose 3*t + 3*t - 24 = 0. Let d**2 - 8701*d**3 + 4*d**t - d**2 + 8705*d**3 = 0. What is d?
-1, 0
Let y(q) be the first derivative of 38/5*q**2 + 722/5*q + 2/15*q**3 - 107. Factor y(n).
2*(n + 19)**2/5
Suppose -4*g = -5*m + 8609, 44*m - 39*m = -g + 8604. Let j = -10321/6 + m. Solve -2/3*b**3 + 0 - j*b - 3/2*b**2 = 0 for b.
-5/4, -1, 0
Let k(o) = -o**2 + 48*o - 32. Let s(p) = -7*p**2 - 6*p + 7. Let a(h) = -19*h**2 - 16*h + 20. Let j(y) = 3*a(y) - 8*s(y). Let l(x) = 5*j(x) - k(x). Factor l(w).
-4*(w - 1)*(w + 13)
Let t(i) be the third derivative of 1/20*i**5 + 0*i - 15/2*i**3 - 9*i**2 + 1/4*i**4 + 0. Factor t(w).
3*(w - 3)*(w + 5)
Suppose 212/3*s - 1/3*s**3 + 0 + 104/3*s**2 = 0. What is s?
-2, 0, 106
Let a(c) = -11*c + 8*c - 12 + 3*c**3 + 24*c**2 - 4*c**3. Let m(o) = -2*o**2 + o - 1. Let s(w) = a(w) + 4*m(w). Factor s(d).
-(d - 16)*(d - 1)*(d + 1)
Let z(k) = 14*k**3 + 1034*k**2 - 264215*k - 265225. Let b(v) = -17*v**3 - 1035*v**2 + 264219*v + 265225. Let s(r) = 5*b(r) + 6*z(r). Factor s(j).
-(j - 515)**2*(j + 1)
Factor -130*x**2 - 248/5*x**3 - 40 + 1/5*x**5 - 617/5*x - 14/5*x**4.
(x - 25)*(x + 1)**3*(x + 8)/5
Let f(s) be the first derivative of 7*s**6/18 - 39*s**5/5 + 263*s**4/6 - 32*s**3 - 64*s**2/3 + 2881. Let f(q) = 0. Calculate q.
-2/7, 0, 1, 8
Determine l so that -62/3*l**2 + 140/3 - 22/3*l - 8/3*l**3 = 0.
-7, -2, 5/4
Let f = 324 + -208. Let j = -113 + f. Factor -3*b - 14*b + 32*b - 12 - j*b**2.
-3*(b - 4)*(b - 1)
Suppose -b - 9 = -4*h, 4*b = 3*h + h. Let q be h/6*(16/4 - 0). Factor 12*g**2 - 5*g**2 - 6*g**2 + 2*g**4 + q*g**3 - 3*g**2 - 2*g**5.
-2*g**2*(g - 1)**2*(g + 1)
Let h be 22/14*(-99960)/(-54978). Determine g so that 4 + 46/7*g + h*g**2 + 2/7*g**3 = 0.
-7, -2, -1
Let f(d) = -11*d**3 - 106*d**2 + 109*d + 201. Let k(p) = -20*p**3 - 210*p**2 + 220*p + 405. Let n(j) = 5*f(j) - 3*k(j). Factor n(r).
5*(r - 2)*(r + 1)*(r + 21)
Let r(d) = d**3 + d**2 - d + 4. Let t be r(0). Let o = 1 + t. Find h such that -5 + 5*h + 8*h**2 - o*h**3 - 7*h**2 + 0 + 4*h**2 = 0.
-1, 1
Let i be (-133)/(-70) + ((-1)/17)/((-370)/629). Find w, given that -69/4*w**3 + 0 - 3/4*w**5 - 9*w + 21*w**i + 6*w**4 = 0.
0, 1, 2, 3
What is q in 1342*q**2 - 900482*q - 2/3*q**3 + 604223422/3 = 0?
671
Suppose 2*j + 1 - 7 = 0. Factor -17*g**3 + 0*g**2 - 20*g**3 + g**2 - 2*g + 38*g**j.
g*(g - 1)*(g + 2)
Let p be -1*(-1057)/70 + (-1)/10. Determine m, given that -p*m - m**3 - m**3 - 10*m**2 + 7*m**3 = 0.
-1, 0, 3
Let t(k) be the third derivative of k**7/210 - 49*k**6/60 + 193*k**5/60 - 4*k**4 + 290*k**2. Determine g so that t(g) = 0.
0, 1, 96
Let o(w) be the second derivative of -5/24*w**4 - 3 + 1/40*w**5 + 1/6*w**3 - 5*w + 2*w**2. Factor o(s).
(s - 4)*(s - 2)*(s + 1)/2
Suppose 2319 + 1209 = 1176*l. What is z in 2/5*z**l - 2/5*z**2 - 2/5*z + 2/5 = 0?
-1, 1
Let l(j) = 6*j**3 - 484*j**2 - 162*j + 45. Let v be l(81). Factor -3/2*y**2 - v*y - 675/2.
-3*(y + 15)**2/2
Factor 25 - 37*m**2 + 0*m**4 + 35 - 68*m - 138*m**3 - 9*m**4 + 75*m + 117*m.
-(m - 1)*(m + 15)*(3*m + 2)**2
Let s(i) be the third derivative of 1/8*i**4 + 1/360*i**6 + 0*i**3 + 0*i + 0 - 11*i**2 + 1/18*i**5. Factor s(d).
d*(d + 1)*(d + 9)/3
Solve 117*h**3 - 1491*h**2 + 2326*h - 219*h**2 - 3*h**4 - 7267 - 8406 + 8774*h - 11327 = 0 for h.
9, 10
What is q in 136900/3 - 740/3*q + 1/3*q**2 = 0?
370
Let a = -50 - -92. Let c = -38 + a. Determine s so that -3*s**2 + 8*s**2 + c*s + 5*s**3 - 10*s**4 - 4*s = 0.
-1/2, 0, 1
Let t(d) = -1010