 1764*v - 90. Let a(i) be the third derivative of 0*i - 4/9*i**4 + 7/90*i**5 - 1/180*i**6 + 17*i**2 + 4/3*i**v + 0. Suppose a(q) = 0. What is q?
2, 3
Let n(x) be the second derivative of 28*x**2 - 2 + 1/3*x**4 + 6*x**3 + 15*x. What is a in n(a) = 0?
-7, -2
Suppose -4*o + 27 = -4*l + 19, 2*l = -3*o + 6. Factor -156*z + 28*z**o + 10*z**3 - 15*z**3 - 36*z**2 + 5*z**3 + 4*z**3 - 288.
4*(z - 8)*(z + 3)**2
Solve -4/7*v**2 - 47524/7 + 872/7*v = 0 for v.
109
Let t(i) be the second derivative of 5*i**4/12 - 75*i**3 + 3500*i**2 + 3*i + 210. Factor t(s).
5*(s - 70)*(s - 20)
Suppose r = f - 1, 0 = 5*r - 54*f + 53*f - 7. Let i = 33/215 - -2/43. Factor 0*p**3 + 0*p + 2/5*p**r - i*p**4 - 1/5.
-(p - 1)**2*(p + 1)**2/5
Let n(v) be the second derivative of -v**7/14 + 33*v**6/10 + 63*v**5/4 + 107*v**4/4 + 18*v**3 - 20*v - 11. Suppose n(r) = 0. Calculate r.
-1, 0, 36
Let f(h) be the second derivative of h**7/294 - 11*h**6/210 - 93*h**5/140 - 51*h**4/28 - 977*h - 2. Factor f(g).
g**2*(g - 17)*(g + 3)**2/7
Let h be 4/(-2) - (0 - 9). Suppose -22*r = -7*r - h*r. Solve -1/4*z**2 + r*z + 1/4 = 0.
-1, 1
Let s(x) = -10*x + 130. Let w be s(-26). Let a = w + -388. Suppose 3/7 + 0*j - 3/7*j**a = 0. Calculate j.
-1, 1
Let c(l) = -8*l**2 + 6*l - 5. Let g(w) = -7*w**2 + 5*w - 4. Let r(s) = -5*c(s) + 6*g(s). Let i(b) = 41*b**2 - 2*b + 3. Let q(h) = -i(h) + 3*r(h). Factor q(x).
-x*(47*x - 2)
Factor 2/9*g**4 - 1096/9*g**3 + 0*g + 0 - 122*g**2.
2*g**2*(g - 549)*(g + 1)/9
Let t(n) = 7*n**3 + 246*n**2 + 487*n - 7244. Let j(b) = -12*b**3 - 411*b**2 - 812*b + 12074. Let x(o) = -8*j(o) - 13*t(o). Determine k so that x(k) = 0.
-11, 4
Let b(d) = -d**3 - d**2 + 4*d + 25. Let h be b(0). Factor 8*i**2 + h - 124*i - 22 + 57.
4*(i - 15)*(2*i - 1)
Let u be (480/(-64) + 10)/(10/7). Solve -1/8*w**2 - u*w + 5/8*w**3 - 1 = 0.
-1, -4/5, 2
Let d(f) be the second derivative of f**5/40 - 19*f**4/4 + 443*f**3/12 - 165*f**2/2 + 1927*f. Let d(k) = 0. Calculate k.
1, 3, 110
Suppose -1 = -c, -2*d + 3*c + c = -4560. Suppose -d*h**2 + 2274*h**2 - 68 - 30 + 56*h = 0. Calculate h.
7/2
Let z = 28890 + -28886. Factor 1/4*r**z + 162 - 135*r - 21/4*r**3 + 81/2*r**2.
(r - 6)**3*(r - 3)/4
Let u be 1613/1012 - (-15)/(-60). Let r = u - 10/23. What is g in 2/11*g**2 - r*g + 12/11 = 0?
2, 3
Let n(s) = 22*s**2 + 16*s - 30. Let q(k) = -89*k**2 - 66*k + 119. Suppose -728*t = -726*t + 4. Let d(x) = t*q(x) - 9*n(x). Factor d(z).
-4*(z - 1)*(5*z + 8)
Suppose 44 = 25*p - 56. Let g(r) be the second derivative of 0*r**3 - 1/189*r**7 - 19*r - 1/30*r**5 + 1/45*r**6 + 0*r**2 + 1/54*r**p + 0. Factor g(o).
-2*o**2*(o - 1)**3/9
Suppose 4*j + 5 - 1 = 0. Let h(d) = -6*d**3 - 54*d**2 - 92*d - 2. Let z(q) = -q**3 + q**2 + 2*q - 1. Let s(f) = j*h(f) + 2*z(f). Suppose s(m) = 0. What is m?
-12, -2, 0
Determine r, given that -39*r - 69 - 68*r - 5*r**2 + 214 - 33*r = 0.
-29, 1
Let y(b) be the first derivative of -2*b**3/3 - 1305*b**2 - 9160. Factor y(h).
-2*h*(h + 1305)
Let o be (-3)/(12/20*15/12). Let i(z) = -9*z**3 + 20*z**2 - 28*z - 4. Let d(u) = 10*u**3 - 20*u**2 + 30*u + 5. Let k(h) = o*d(h) - 5*i(h). Factor k(t).
5*t*(t - 2)**2
Let c(q) = -6*q**3 - 6*q**2 - q + 4. Let u be c(-2). Let w be 0*(1/14 + u/70). Suppose w - 1/10*t**3 + 2/5*t**2 + 0*t = 0. Calculate t.
0, 4
Let v(k) be the third derivative of -k**6/420 + 589*k**5/70 - 1177*k**4/28 + 1765*k**3/21 - 6*k**2 - 230*k - 1. Find s such that v(s) = 0.
1, 1765
Let u(p) be the second derivative of 7/15*p**6 + 4/21*p**3 - 2 - 12*p + 11/10*p**5 + 16/21*p**4 + 0*p**2. Factor u(b).
2*b*(b + 1)*(7*b + 2)**2/7
Factor -33124/3*f + 962*f**2 + 134017/3 - 100/3*f**3 + 1/3*f**4.
(f - 61)*(f - 13)**3/3
Let c(o) be the third derivative of -3*o**2 - 1/1680*o**7 + 1/32*o**4 - 1/160*o**6 + 0 + 5/48*o**3 - 14*o - 1/120*o**5. Factor c(q).
-(q - 1)*(q + 1)**2*(q + 5)/8
Suppose 62/5*z**4 - 322/5*z**2 + 244/5*z - 56/5*z**3 - 8/5*z**5 + 16 = 0. What is z?
-2, -1/4, 1, 4, 5
Let j(a) be the first derivative of 129 - 10*a**2 - 136/3*a + 4/9*a**3. Factor j(t).
4*(t - 17)*(t + 2)/3
Solve 2368/5*k + 2/5*k**4 + 588/5*k**2 + 58/5*k**3 + 2816/5 = 0.
-11, -8, -2
Let g be (-100)/(-231) - (220/77 + -2). Let j = g + 494/231. Factor -6/7*o + 6/7*o**3 + 12/7 - j*o**2.
6*(o - 2)*(o - 1)*(o + 1)/7
Let k = 154 - 119. Solve -32*x**4 + k*x**4 - 43*x**4 + 4*x**5 + 109*x**3 - 32*x**2 - 192*x + 7*x**3 = 0 for x.
-1, 0, 3, 4
Let n = 131 - 119. Solve -50*j + 33*j - j**3 - 3*j**2 + n + 21*j = 0 for j.
-3, -2, 2
Let b(q) = -q**2 + 8*q + 56. Let s be b(10). Let p be (-9)/(-21) - 13/((-2730)/s). Let -4/5*x - 4/5 + 4/5*x**3 + 1/5*x**4 + p*x**2 = 0. Calculate x.
-2, -1, 1
Let o = -2031 - -2034. Suppose -3*n + 1 + 7 = 2*w, -3*w + 9 = o*n. Factor 5/2*a**3 + a + 7/2*a**n + 0.
a*(a + 1)*(5*a + 2)/2
Let t(i) be the third derivative of -i**6/60 + 31*i**5/30 - 28*i**4/3 + 36*i**3 + 19*i**2 - 3. Factor t(p).
-2*(p - 27)*(p - 2)**2
Let p(v) be the first derivative of -257 - 23/16*v**2 - 1/24*v**3 - 11/4*v. Factor p(q).
-(q + 1)*(q + 22)/8
Let 1145*x + 924 - 3*x**5 + 127*x**2 + 67*x - 272*x**2 - 126*x**2 + 16*x**2 - 453*x**3 + 87*x**4 = 0. Calculate x.
-1, 2, 7, 22
Let l(r) be the third derivative of r**6/80 - 93*r**5/40 + 91*r**4/8 - r**2 + 3199*r. Find x such that l(x) = 0.
0, 2, 91
Let o = 24/5 - 62/15. Let m be 1/(-2)*(38 - (-384)/(-12))*(-4)/3. Determine j so that -4*j**2 - 8/3*j**3 - 8/3*j - o*j**m - 2/3 = 0.
-1
Suppose 5*b = -2*h + 3*b + 8, 5*b - 4 = 3*h. Factor -65*m + 44 + 4*m**2 + 4*m**h + 11 + 2*m**2.
5*(m - 1)*(2*m - 11)
Let f(x) = -x**3 - 3*x**2 - 2*x - 4. Suppose 0 = 12*d + 7 + 29. Let c be f(d). What is q in 166*q**2 - 327*q**c - 3*q + 3*q**3 + 2 + 160*q**2 - q**4 = 0?
-1, 1, 2
Let b = -695 + 894. Let k = b - 197. Factor 2/5*l - 2/15 + 2/15*l**3 - 2/5*l**k.
2*(l - 1)**3/15
Let z(t) be the second derivative of t**6/10 + 453*t**5/20 - 77*t**4/2 - 152*t**3 - 2*t + 2061. Factor z(d).
3*d*(d - 2)*(d + 1)*(d + 152)
Factor 333/2*x**2 + 1/2*x**4 + 0 - 252*x + 85*x**3.
x*(x - 1)*(x + 3)*(x + 168)/2
Suppose 0 = -3*z + 3, -k + 3 = 5*z - 6. Suppose 6 = -2*s + 5*c - 8, -5*c = 4*s - 32. Factor 2*q**2 + s*q**2 - 2*q**k - 2 - q**2.
-2*(q - 1)**2*(q + 1)**2
Let v(l) be the second derivative of 7*l**5/20 + 149*l**4/36 + 112*l**3/9 + 10*l**2/3 + 36*l. Determine b, given that v(b) = 0.
-5, -2, -2/21
Suppose 6 = 203*w - 200*w. Suppose w*h - 4*n = -29 + 25, -2 = -n. Determine d so that 3/7*d**h - 9/7 - 6/7*d = 0.
-1, 3
Suppose -3*t + 27 = -4*t - 2*t - 3*o, o = -11. Factor -50/7*l - 24/7 - 2*l**t.
-2*(l + 3)*(7*l + 4)/7
Let i(x) be the third derivative of -x**9/60480 - x**8/1680 - x**7/240 - x**6/72 + 17*x**5/60 + 48*x**2. Let n(k) be the third derivative of i(k). Factor n(w).
-(w + 1)**2*(w + 10)
Let p = 10620/19 + -52948/95. Suppose -14/5*b**4 + p*b**5 + 8/5 + 8*b + 26/5*b**2 - 28/5*b**3 = 0. Calculate b.
-1, -1/4, 2
Let x(c) be the second derivative of c**4/84 - c**3 - 43*c**2/14 - 1471*c + 2. Factor x(j).
(j - 43)*(j + 1)/7
Let i = -62382 + 62385. Factor 0 - 44/3*p**2 - 4/3*p**i - 40/3*p.
-4*p*(p + 1)*(p + 10)/3
Find d such that 49/5 + 341/10*d - 7/10*d**2 = 0.
-2/7, 49
Let s(n) be the first derivative of -1/3*n**2 + 1/6*n**4 - 4*n + 53 - 2/15*n**5 + 14/9*n**3. Solve s(r) = 0 for r.
-2, -1, 1, 3
Let j be 24/16*48/18 - -4*3/(-6). Factor -202/3*s + 34 + 2/3*s**3 + 98/3*s**j.
2*(s - 1)**2*(s + 51)/3
Let h(n) = 8 - n - n - 10 + 3*n. Let w be h(4). Factor 18*p + 2*p - 58*p**w + 53*p**2.
-5*p*(p - 4)
Let b = -7130 + 14523/2. Let u = b - 122. Suppose u*v**3 - 5/2*v**4 + 27/2*v**2 - 3*v**5 - 1 + 7/2*v = 0. What is v?
-1, 1/6, 2
Factor 2/3*f**4 - 20/3*f**3 - 26/3*f**2 + 0 + 44/3*f.
2*f*(f - 11)*(f - 1)*(f + 2)/3
Let d(l) be the first derivative of -l**3/9 - 20*l**2/3 + 187*l - 7564. Factor d(a).
-(a - 11)*(a + 51)/3
Let y(d) be the second derivative of -3*d**5/20 - 11*d**4/5 - 61*d**3/10 + 21*d**2/5 - 28*d - 13. Factor y(w).
-3*(w + 2)*(w + 7)*(5*w - 1)/5
Let j(z) = z**3 + 7*z**2 + 6*z + 3. Let s be j(-6). Solve 2*d**3 + 60*d**2 + 14*d**3 + 20*d**3 + 8*d**3 - 28*d**s - 36*d - 80 = 0 for d.
-4, -1, 5/4
Suppose -r = -2460 - 6833. Factor 2*d**2 - 9 + r*d - 9299*d + 1.
2*(d - 4)*(d + 1)
Let g(f) be the second derivative of f**6/90 + 9*f**5/20 + 65*f**4/12 + 169*f**3/18 + 38*f + 28. Determine i, given that g(i) = 0.
-13, -1, 0
Let y(a) = 32*a + 2. Suppose -5*h + 