
3*(k - 3)*(k + 6)/5
Let a be ((-116)/20 - -5) + 101/4. Let b = a - -3533/60. Factor b*n**3 + 128/3 + 160*n + 200*n**2.
2*(5*n + 4)**3/3
Let f be (-39 - (-83 - -34))/(30/4). Factor -f*p**2 + 0*p - 2/3*p**3 + 0.
-2*p**2*(p + 2)/3
Let p(i) = -i**2 - 6*i + 15. Let s be p(-7). What is c in s*c + 63*c**4 - 4*c**2 - 8*c**3 + 67*c**4 - 188*c**4 + 62*c**4 = 0?
-1, 0, 1, 2
Let u(f) = -f**3 - 14*f**2 - 2*f + 24. Let b be u(-14). Suppose -5098 - 16*t + 5098 + 14*t**3 - b*t**2 = 0. What is t?
-2/7, 0, 4
Let l = 6808 + -122575/18. Let s = -3/2 - l. Solve 2/9*a**2 + 0*a - s*a**3 + 0 = 0.
0, 1
Let p be -23 + 25 - (2 + (-2)/15). Let g be 26/(-195)*1*-1. Let 0 + g*u**2 - p*u = 0. Calculate u.
0, 1
Let w = -264 - -407. Factor -10 - 146*l**4 - 6*l**3 + w*l**4 + 10.
-3*l**3*(l + 2)
Suppose 87*p + 80 = 92*p. Suppose -17*v + 3 = -p*v. Factor 2*q**2 - 16*q**2 + 7*q**3 - 2*q**2 - 2*q**5 - v*q**3 - 4 + 4*q**4 + 14*q.
-2*(q - 1)**4*(q + 2)
Suppose -12 + 24/7*d**2 + 58/7*d + 2/7*d**3 = 0. Calculate d.
-7, -6, 1
Let a(i) be the second derivative of i**5/4 + 95*i**4/6 - 205*i**3/2 - 129*i. Factor a(g).
5*g*(g - 3)*(g + 41)
Let z(p) be the second derivative of -5*p**7/42 + 5*p**6/3 - 6*p**5 + 55*p**4/6 - 35*p**3/6 + 12*p - 13. Determine m so that z(m) = 0.
0, 1, 7
Let j(r) = 64*r**4 - 121*r**4 + 58*r**4. Let o(m) = -5*m**5 + 5*m**4 + 20*m**3. Let z(w) = -5*j(w) + o(w). Let z(n) = 0. What is n?
-2, 0, 2
Suppose -12 = 556*w + 221*w - 12. Let f be (17 + -1)*(-2)/(-12). Find b such that -2*b**5 + 10/3*b**3 + 4/3*b**2 - f*b**4 + 0 + w*b = 0.
-2, -1/3, 0, 1
Let n be 110/(-22)*(1/1 - 3). Let u be -2*((-4)/16 - n/8). Suppose -7*m**2 + 14*m**5 - 10*m**4 + 12*m**2 + 128*m + 32 - 88*m**u + 27*m**2 = 0. Calculate m.
-2, -1, -2/7, 2
Let n be -25 - -28 - (-1)/2*2. Let u(a) be the second derivative of 1/60*a**n + 20*a - 2/15*a**3 + 3/10*a**2 + 0. Factor u(w).
(w - 3)*(w - 1)/5
Let u = 221 + -239. Let g be ((-6)/u - (-32)/(-60))/(-1). Solve g*n**2 + 0 + 3/5*n = 0 for n.
-3, 0
Let m(a) be the first derivative of 3*a**4/4 + 8*a**3 + 24*a**2 - 1233. Determine b so that m(b) = 0.
-4, 0
Suppose 1692 = 549*y - 1149 - 453. Factor 3/2*v**2 + 0 + y*v - 15/2*v**3.
-3*v*(v - 1)*(5*v + 4)/2
Let g(w) be the first derivative of -w**6/140 - w**5/56 + w**3 + w + 27. Let j(v) be the third derivative of g(v). Factor j(c).
-3*c*(6*c + 5)/7
Let i = 198946/375 - -518/125. Let y = i - 524. Let 4/3*q**2 - y + 8/3*q = 0. What is q?
-4, 2
Suppose -7*y - 30 = -10*y. Let w be (-15)/(-25) + (-1)/y*-34. Factor -v**w + 6*v**4 - 1176*v**2 - v**4 + 1172*v**2.
4*v**2*(v - 1)*(v + 1)
Let a(s) be the third derivative of s**7/105 - 21*s**6/20 + 46*s**5 - 2900*s**4/3 + 8000*s**3 + 416*s**2. Suppose a(j) = 0. What is j?
3, 20
Let o = -1057/2 + 530. Let y(t) be the second derivative of 3*t**2 + 3/20*t**5 - 15*t + 0*t**4 + 0 - o*t**3. Solve y(w) = 0 for w.
-2, 1
Let q be (0*(-2)/(-8))/(-1). Suppose -4*c + 3*j + 31 = q, -4*c - 4 = 24*j - 20*j. Find p, given that p**2 + 0 - p**c - 1/3*p**5 + 0*p + 1/3*p**3 = 0.
-3, -1, 0, 1
Let l(t) be the first derivative of t**6/18 - 8*t**5/15 + 17*t**4/12 - 10*t**3/9 - 928. Factor l(c).
c**2*(c - 5)*(c - 2)*(c - 1)/3
Let o(x) be the first derivative of -16*x**5/45 + 131*x**4/9 - 860*x**3/27 - 124*x**2/9 - 2138. Suppose o(u) = 0. What is u?
-1/4, 0, 2, 31
Let u(v) be the second derivative of v**5/5 - 70*v**4 + 7208*v**3 + 44944*v**2 - 2*v + 1111. Let u(h) = 0. What is h?
-2, 106
Let b = -147/43 - -4012/1161. Let g(x) be the second derivative of -1/45*x**6 + 1/9*x**2 + b*x**4 - 6*x + 0 - 1/9*x**3 + 1/189*x**7 + 1/45*x**5. Factor g(d).
2*(d - 1)**4*(d + 1)/9
Suppose -5 = -6*v + 19. Suppose -v*i = f - 16, -5*f = -2*f - 4*i + 16. Suppose s**4 + f + 0*s**2 + 9/4*s**3 - 3*s**5 - 1/4*s = 0. Calculate s.
-1/2, 0, 1/3, 1
Let g(z) be the second derivative of z**6/90 + z**5/60 - 5*z**4/6 + 486*z - 2. Let g(b) = 0. Calculate b.
-6, 0, 5
Let m(k) be the second derivative of k**4/3 + 7*k**3/3 + 5*k**2 - 7*k + 9. What is f in m(f) = 0?
-5/2, -1
Let c(j) be the third derivative of j**5/60 + 28*j**4/3 - 75*j**3/2 - 1974*j**2. What is m in c(m) = 0?
-225, 1
Let l(w) be the third derivative of w**5/390 + 17*w**4/26 - 103*w**3/39 - 2160*w**2. What is r in l(r) = 0?
-103, 1
Let x(y) be the second derivative of -y**4/72 + 235*y**3/6 - 165675*y**2/4 - y + 408. What is s in x(s) = 0?
705
Let r(d) = -d**4 - 139*d**3 - 246*d**2 + 536*d + 1004. Let o(m) = 5*m**4 + 555*m**3 + 980*m**2 - 2145*m - 4015. Let b(x) = -4*o(x) - 15*r(x). Solve b(l) = 0.
-25, -2, 2
Let l(w) be the first derivative of 4*w**4 + 3/2*w**2 - 8 + 4/5*w**5 + 0*w + 13/3*w**3. Factor l(c).
c*(c + 3)*(2*c + 1)**2
Suppose 74*v + 60*v - 136 = 66*v. Let -1/7*q**v + 4/7*q - 3/7 = 0. Calculate q.
1, 3
Let g(p) be the first derivative of -p**5 + 20*p**4 - 105*p**3 + 369. Find c such that g(c) = 0.
0, 7, 9
Let y(r) be the second derivative of 2*r**2 + 1/30*r**6 - 11/20*r**5 + 1/14*r**7 - 3/4*r**4 + 2/3*r**3 + 0 + 5*r. Find n such that y(n) = 0.
-1, 2/3, 2
Let v(x) be the first derivative of x**3/3 + 279*x**2 + 557*x + 3250. Find c, given that v(c) = 0.
-557, -1
Let o be 2893/(-789)*(-96)/242. Suppose o*t**2 + 12/11*t**3 - 18/11 - 12/11*t + 2/11*t**4 = 0. What is t?
-3, -1, 1
Let u(h) be the third derivative of -h**9/483840 + h**7/1920 - h**6/288 - 23*h**5/12 - 53*h**2. Let k(c) be the third derivative of u(c). Factor k(f).
-(f - 4)*(f - 1)*(f + 5)/8
Let q(h) be the third derivative of 1/24*h**4 + 2*h - 1/10*h**3 - 243*h**2 + 0 - 1/120*h**6 + 1/100*h**5. Suppose q(k) = 0. Calculate k.
-1, 3/5, 1
Let k(v) be the first derivative of -126 + 5/6*v**2 - 2*v - 1/9*v**3. Factor k(l).
-(l - 3)*(l - 2)/3
Let r(s) = s**2 - 7*s + 15. Let d be r(4). Let p be (1038/6055)/((-3)/(-10)). Factor -4/7*q**d + 8/7*q + 0 + p*q**2.
-4*q*(q - 2)*(q + 1)/7
Let p be (8/(-12)*-9 - 0)*((-350)/105)/(-5). Determine c, given that -2/5*c**p + 24/5 + 56/5*c + 4/5*c**3 + 38/5*c**2 = 0.
-2, -1, 6
Suppose 27*b + 62815 = 62815. Let o(u) be the first derivative of 0*u**2 + b*u + 7 - 3/2*u**4 + 3/5*u**5 + u**3. Let o(f) = 0. Calculate f.
0, 1
Let q(r) be the second derivative of -r**4/8 - 123*r**3/4 + 375*r**2/2 - 1025*r. Solve q(x) = 0 for x.
-125, 2
Let r(j) be the third derivative of j**7/840 - j**5/120 - j**3/2 - j**2 - 98. Let q(o) be the first derivative of r(o). Factor q(m).
m*(m - 1)*(m + 1)
Let s(v) = v**3 + v**2. Let d(k) = -4*k**3 - 2*k**2 + 2*k. Suppose -2*f - 5*f = -231. Let b = f + -31. Let a(y) = b*d(y) + 12*s(y). Factor a(n).
4*n*(n + 1)**2
Let h(i) be the first derivative of -4*i**5/15 + 38*i**4/3 + 52*i**3/3 - 599. Factor h(z).
-4*z**2*(z - 39)*(z + 1)/3
Let 1492285286/11 + 5438/11*b**4 + 2/11*b**5 + 1482418940/11*b**2 + 4925012/11*b**3 - 2979634678/11*b = 0. What is b?
-907, 1
Suppose -3*o + 63 = 3*a + 2*a, -12 = -4*a. Let y(m) be the first derivative of 2/27*m**3 - o + 0*m + 0*m**2 + 1/18*m**4 - 2/45*m**5 - 1/27*m**6. Factor y(p).
-2*p**2*(p - 1)*(p + 1)**2/9
Let o(i) be the third derivative of 0*i - 7/9*i**3 + 1/30*i**5 - 1/360*i**6 + 94*i**2 + 0 + 1/8*i**4. Factor o(s).
-(s - 7)*(s - 1)*(s + 2)/3
Let z(a) = -104*a**3 + 5*a + 5. Let d be z(-1). Find q such that 88*q + 3*q**3 - 1688*q - 24*q**2 + d*q**2 - 4*q**3 = 0.
0, 40
Suppose 818/3*j + 7/3*j**3 - 73*j**2 - 72 = 0. What is j?
2/7, 4, 27
Let i = -116694 - -350083/3. Solve 8/3 - 4*c - i*c**3 + 2*c**2 = 0 for c.
2
Let v(l) = l - 5. Let g be v(19). What is n in -3*n - n**2 - 18 - n**4 + 3*n**3 + g + 6 = 0?
-1, 1, 2
Suppose 3776 = 4*u - 4*x, u - 3*x + 205 - 1149 = 0. Let q = 7561/8 - u. Let -v**3 + 0 - 1/4*v + 9/8*v**2 + 5/4*v**5 - q*v**4 = 0. What is v?
-1, 0, 2/5, 1/2, 1
Let r = 199 + -590. Let w = 394 + r. Factor 2/9*j**w + 0 - 2/3*j**2 + 4/9*j.
2*j*(j - 2)*(j - 1)/9
Suppose -6*b = -5*v - 42, -3*v - 50*b + 52*b = 14. Factor -1/4*t**5 + 0*t**4 + v + 3/4*t**3 - 1/2*t**2 + 0*t.
-t**2*(t - 1)**2*(t + 2)/4
Let d(v) = -2*v**4 + 128*v**3 - 25*v**2 - 110*v - 117. Let s(u) = -32*u**3 + 6*u**2 + 28*u + 26. Let b(c) = 2*d(c) + 9*s(c). Factor b(n).
-4*n*(n - 1)*(n + 1)*(n + 8)
Let 36*d**3 - 3*d**5 + 11*d**4 - 26*d**4 - 768*d**2 + 48*d**4 + 81*d - 849*d = 0. Calculate d.
-4, -1, 0, 8
Let t(v) be the third derivative of -v**6/40 - v**5/3 - 3*v**4/4 - 17*v**3/3 + 134*v**2. Let f be t(-6). Factor -2*y + 1/4*y**f + 7/4.
(y - 7)*(y - 1)/4
Let