-v**2 - 4*v - 1. Suppose 0 = -3*s - 71 + 68. Let b be z(s). Let 0*l**b + 0*l + 0 + 1/2*l**3 - 1/4*l**5 - 1/4*l**4 = 0. What is l?
-2, 0, 1
Factor 92 - 294 - 132*h - 108 - 420 + 3*h**2 - 170.
3*(h - 50)*(h + 6)
Let 0 + 2/13*l**2 - 434/13*l = 0. What is l?
0, 217
Let p(n) = -23*n**2 - n + 2. Let v(r) = -91*r**2 - 1526*r + 579129. Let m(y) = -4*p(y) + v(y). Factor m(f).
(f - 761)**2
Let i(h) be the first derivative of -5*h**3/4 + 119*h**2/4 + 8*h + 530. Determine f so that i(f) = 0.
-2/15, 16
Let -7 - 5 + 19 - 13 + 2187*n**2 - 2181*n = 0. What is n?
-2/729, 1
Let c(s) be the first derivative of -43*s**2 + 56*s - 65 - 28 + 130*s**3 - 12 - 129*s**3. Factor c(t).
(t - 28)*(3*t - 2)
Let n be (-15)/(20/(-4)) + (-5)/3. Suppose -3*g + 3*f - 3 = 0, -3*f = 19*g - 16*g - 27. Factor 2/3*c**g - 4/3*c + 0 - 2/3*c**2 + n*c**3.
2*c*(c - 1)*(c + 1)*(c + 2)/3
Let a(q) be the first derivative of -2*q**3/9 - 94*q**2/3 + 128*q - 3529. Factor a(k).
-2*(k - 2)*(k + 96)/3
Let d(q) be the second derivative of -q**8/8960 - q**7/5040 - 7*q**4/4 + q**3/6 + 112*q. Let s(l) be the third derivative of d(l). Factor s(n).
-n**2*(3*n + 2)/4
Let q = -108293 + 108297. Suppose -48/5*h**2 + q*h**3 + 44/5*h - 2/5*h**4 - 14/5 = 0. Calculate h.
1, 7
Let l(d) = -d + 17. Let r be l(9). Let y(t) = 2*t**2 + 4*t - 14. Let i be y(-4). Suppose -r*q**3 - i*q**2 + 12*q**3 - 3*q - 2*q**3 - 5*q + 8 = 0. Calculate q.
-2, 1, 2
Let v(u) be the third derivative of u**7/105 + 3*u**6/20 - 31*u**5/30 - 55*u**4/4 + 150*u**3 + 80*u**2 + 8*u. Let v(x) = 0. Calculate x.
-10, -5, 3
Suppose -25*i = -9*i + 384. Let l be (2/i)/(36/(-576)). Solve l*j**2 - 16/3 + 0*j = 0 for j.
-2, 2
Suppose 92 = -s + 106. Factor 14*b**2 - 2*b**2 + 5810 + 5*b**2 + 4633 - s*b**2 - 354*b.
3*(b - 59)**2
Determine n, given that 15*n - 3/2*n**2 + 117/2 = 0.
-3, 13
Let q = -318986 + 637987/2. Suppose -5/4*n**2 + q + 5/4*n = 0. Calculate n.
-2, 3
Let g = 111 + -110. Let t be 9 - (-1)/((g + -2)/4). Factor -460*u**2 - 1 - 55*u**4 - 5*u**t - 440*u + 79 - 230*u**3 - 238.
-5*(u + 1)*(u + 2)**3*(u + 4)
Let l(o) be the first derivative of 0*o**2 + 0*o + 46 - 1/12*o**4 - 1/9*o**3. Factor l(h).
-h**2*(h + 1)/3
Let v(j) be the third derivative of 19/108*j**4 + 11/270*j**5 + 1/540*j**6 + 1/3*j**3 + 0 - 2*j**2 - 38*j. Find x, given that v(x) = 0.
-9, -1
Let h(a) be the second derivative of -81*a**5/40 - 15*a**4/8 + 8*a**3/3 - a**2 + 222*a + 3. Factor h(d).
-(d + 1)*(9*d - 2)**2/2
Let w(t) be the second derivative of -1/8*t**5 - 1/60*t**6 + 0 + 0*t**3 - 1/4*t**4 + 0*t**2 - 57*t. Suppose w(j) = 0. What is j?
-3, -2, 0
Let y be (-28)/(-49) - 10/(-7). Let g(a) be the third derivative of 12*a**y + 0 - 3/7*a**3 - 1/210*a**5 + 0*a - 1/14*a**4. Factor g(m).
-2*(m + 3)**2/7
Let l(q) be the first derivative of 4*q**6/9 - 8*q**5/15 - 1199*q**4/6 + 18400*q**3/9 - 8300*q**2/3 + 4000*q/3 - 2939. What is n in l(n) = 0?
-20, 1/2, 10
Let v(x) be the first derivative of x**5/30 - 19*x**4/2 + 2106. Factor v(f).
f**3*(f - 228)/6
Let t = 49 + -47. Suppose t*r = -3*j - 1 + 22, -4*r = 3*j - 27. Factor 25*z + 40 - 2*z**3 + 7*z**r + 30*z**2 + 35*z + 0*z**3.
5*(z + 2)**3
Let o(v) = v**2 - 5*v + 6. Let n be o(4). Factor 139*g - 5*g**n + 12 - 2 - 144*g.
-5*(g - 1)*(g + 2)
Factor 0 - 4/23*r**4 + 48/23*r**2 + 0*r - 94/23*r**3.
-2*r**2*(r + 24)*(2*r - 1)/23
Let b(w) = w**4 + w**3. Suppose 5*c - 29 - 46 = 0. Let k(i) be the second derivative of -2*i**6/15 - i**5/4 - 223*i. Let g(f) = c*b(f) + 3*k(f). Factor g(t).
3*t**4
Let s = 23974 + -46491/2. Let i = 733 - s. Find j such that 0 - 9/2*j**4 + i*j**2 + 3*j - 3/2*j**3 - 3/2*j**5 = 0.
-2, -1, 0, 1
Let k(d) be the third derivative of -d**5/240 - 35*d**4/96 + 343*d**3/12 - 7313*d**2. Factor k(q).
-(q - 14)*(q + 49)/4
Let -7/5*j - 1/5*j**3 - 18/5 + 2*j**2 = 0. Calculate j.
-1, 2, 9
Let r(p) be the second derivative of p**4/18 - 170*p**3/9 + 7225*p**2/3 + 411*p + 4. Determine y, given that r(y) = 0.
85
Let n be 6 + 151/45 + -9 - 26/195. Factor 0*x + 0 - 22/9*x**2 - n*x**3.
-2*x**2*(x + 11)/9
Suppose -63*l = -50*l + 12233. Let y = l - -944. Factor 24/7*n**2 - 12/7*n**y + 6/7 + 2/7*n**4 - 20/7*n.
2*(n - 3)*(n - 1)**3/7
Let k be 5/35 + ((-11)/6)/(224/(-64)). Solve 2/3*h**2 + 0 - 2/3*h**4 - 2/3*h**3 + k*h = 0.
-1, 0, 1
Suppose -3*y = b - 2, -4*b - 6 = 5*y - 7. Let o be (-8 + 7 + y)*(-2)/4. Factor 0*a - 5/7*a**4 + o + a**3 - 2/7*a**2.
-a**2*(a - 1)*(5*a - 2)/7
Let f(c) be the third derivative of c**5/40 - 31*c**4/8 + 817*c**3/4 - 31*c**2 - 40*c. Factor f(a).
3*(a - 43)*(a - 19)/2
Suppose 4*u - y = 9 - 25, -7*y - 33 = u. Let d be ((-9 + u)/7)/(-7). Suppose d*w**5 + 2/7*w**4 - 2/7*w**3 - 2/7*w**2 + 0*w + 0 = 0. What is w?
-1, 0, 1
Factor -2985216/5*u - 6749184/5 - 444/5*u**4 + 4128*u**3 - 234624/5*u**2 + 3/5*u**5.
3*(u - 52)**3*(u + 4)**2/5
Let r(c) = -3*c**2 - 528*c + 541. Let n(o) = 20*o**2 + 3695*o - 3790. Let q(i) = -2*n(i) - 15*r(i). Let q(a) = 0. What is a?
-107, 1
Let s be (0 + 64/(-252))*(-2030)/1160. Find j such that -s*j**4 - 4*j**2 - 8/9 - 28/9*j - 20/9*j**3 = 0.
-2, -1
Let m(t) be the first derivative of -t**6/288 - 5*t**5/24 - 125*t**4/24 + 122*t**3/3 + 53. Let s(r) be the third derivative of m(r). Factor s(h).
-5*(h + 10)**2/4
Let b(k) = -19*k**3 + 152*k**2 - 219*k + 22. Let r(x) = 20*x**3 - 151*x**2 + 222*x - 23. Let w(d) = 4*b(d) + 5*r(d). Suppose w(i) = 0. Calculate i.
1/8, 3
Determine d so that 0*d**2 + 0*d + 6/23*d**3 - 2/23*d**4 + 0 = 0.
0, 3
Factor 837*r**4 + 3*r**5 + 744385 + 2*r**5 - 3140257*r**2 + 3801167*r**2 - 1446635*r - 52*r**4 + 40550*r**3.
5*(r - 1)**2*(r + 53)**3
Suppose -5*j - 5*x = -10, 4*x - 1013 + 1002 = -5*j. Find g, given that -4/5 + 3/5*g**2 - 2/5*g**j - 1/5*g**4 + 4/5*g = 0.
-2, 1
Find t such that 111/2*t**2 + 12*t**4 - 2*t**5 + 9/2 + 95/2*t**3 + 53/2*t = 0.
-1, -1/2, 9
Let k(u) be the second derivative of -u**7/315 + 2*u**6/15 - 11*u**5/6 + 121*u**4/18 - 28*u**2 - 194*u. Let d(h) be the first derivative of k(h). Factor d(g).
-2*g*(g - 11)**2*(g - 2)/3
Let b = -4826 - -4831. Let v(c) be the second derivative of 3/2*c**3 + 3/4*c**4 + 0 + 3/2*c**2 - 13*c + 3/20*c**b. Factor v(i).
3*(i + 1)**3
Let p(g) be the first derivative of 5*g**4/4 - 110*g**3/3 - 395*g**2/2 + 500*g - 489. Factor p(o).
5*(o - 25)*(o - 1)*(o + 4)
Suppose -3*m - 12387*y + 12389*y = 24, -4*y + 54 = -3*m. Solve 0 - 1/3*c**3 + 0*c**m + 4/3*c = 0 for c.
-2, 0, 2
Let -7106/5*y**3 - 752/5 - 98/5*y**5 + 952*y**4 - 6308/5*y**2 + 4904/5*y = 0. Calculate y.
-1, 2/7, 2, 47
Suppose 3 = -3*u - 4*v, u + 0*u + 4*v = -9. Suppose 5*z - 3*y = u*z + 349, 5*y = 3*z - 523. Factor z - 100 - 15*h + 5*h**2 - 96.
5*(h - 4)*(h + 1)
Let m(n) = n**2 + 32*n - 361. Let o be m(9). Let j(w) be the second derivative of -3*w**2 - 3/2*w**3 - o*w - 1/4*w**4 + 0. Factor j(p).
-3*(p + 1)*(p + 2)
Suppose 0 = -10*y + 6*y - 4*z + 88, 0 = 4*y + 2*z - 88. Factor -19*j - 10*j**2 + 2 - 5*j**2 - y*j + 44*j + 1 + 9*j**3.
3*(j - 1)**2*(3*j + 1)
Let l(m) be the second derivative of m**5/20 - m**4 - 27*m**3/2 - 34*m**2 - 1041*m - 3. What is s in l(s) = 0?
-4, -1, 17
Let s(i) be the second derivative of i**7/840 - i**6/24 + 7*i**5/60 - 10*i**3 - 157*i. Let n(f) be the second derivative of s(f). Solve n(h) = 0 for h.
0, 1, 14
Let h(u) be the first derivative of 5*u**6/6 - 4*u**5 - 5*u**4 + 170*u**3/3 - 225*u**2/2 + 90*u - 4789. Find b, given that h(b) = 0.
-3, 1, 2, 3
Let o(z) be the first derivative of 7*z + 17 - 1/9*z**3 + 10/3*z**2. Factor o(k).
-(k - 21)*(k + 1)/3
Let y be (6 - (-6 - (-196)/16))/((-90)/600). Factor -1/3*w**2 - 2 + y*w.
-(w - 3)*(w - 2)/3
Let v be 1 + (-67 + 61 - 35*4/(-12)). Let w(q) = -q**3 - 5*q**2 - 6*q - 6. Let o be w(-4). Determine i so that 0*i - 5/3*i**o + v = 0.
-2, 2
Let s(u) be the second derivative of -17672*u**7/21 - 123328*u**6/15 - 26245*u**5 - 76711*u**4/3 + 1118*u**3 - 18*u**2 + 1012*u - 1. Let s(l) = 0. What is l?
-3, -1, 1/94
Let v(s) be the first derivative of s**3/3 - 31*s**2/2 - 140*s + 2267. Factor v(i).
(i - 35)*(i + 4)
Let a be 2*(-4)/(-8) - 2*-1. Suppose -8*m + a*m + 32 = g, m + 2*g - 1 = 0. Let 6*y**5 - 23*y**4 - 18*y**5 + 4*y**3 + m*y**4 + 8*y**2 = 0. What is y?
-1, 0, 2/3
Let v = 713 - 975. Let q = -260 - v. Let 10/3*t**q + 4/3*t - 8*t**3 + 0 = 0. Calculate t.
-1/4, 0, 2/3
Let z = 414 - 376. What is i in -125*i**4 + 41*i**2 - 110*i**3 