-7*v - 95. Let w be j(-14). Let k(q) be the first derivative of 5/9*q**w + q - 7/6*q**2 - 1/12*q**4 + 14. Let k(l) = 0. Calculate l.
1, 3
Let t be (100/(-16) - -8) + (-1)/(-4). Factor -7*w - 13 + 2*w**t + 3*w + 15.
2*(w - 1)**2
Let k be ((-10)/(-3))/(3/9). Suppose 52*q**2 + 120 - 19*q**2 - 21*q**2 + k*q - 17*q**2 = 0. What is q?
-4, 6
Let p(b) be the second derivative of -961*b**5/210 - 31*b**4/42 - b**3/21 + 10*b**2 + 2*b. Let w(r) be the first derivative of p(r). Factor w(g).
-2*(31*g + 1)**2/7
Let x(o) = 11*o**3 - 6*o**2 + 2*o + 5. Let n be x(8). Let -n + 774*k**2 - 781 + 5830*k + 2*k**3 - 556*k**2 = 0. Calculate k.
-55, 1
Let y(k) be the first derivative of 5*k**3/6 - 55*k**2/4 - 255*k + 490. Factor y(a).
5*(a - 17)*(a + 6)/2
Solve -2/3*i**4 - 134/15*i**3 - 664/15*i - 512/15*i**2 - 64/5 = 0.
-8, -3, -2, -2/5
Suppose -2*i + 4*i + 5*w = 24, 0 = -4*i + w + 92. Suppose -24 = -x - i. What is d in 2*d**3 + 0*d**2 + 24*d - 5*d**2 - 7*d**x - 16 = 0?
2
Let j(o) = o - 3. Suppose -p - 13 + 1 = 4*r, 0 = -3*p - r + 19. Let v be j(p). Find i such that 12*i**4 - 8*i**5 - 4*i**v + 4*i**2 + 16*i**5 + 12*i**3 = 0.
-1, 0
Let f(a) = -4*a - 10*a**3 - 2171*a**2 + 2168*a**2 + 58*a - 72 + a**3. Let l(i) = -i**3 + i - 2. Let s(h) = -f(h) + 6*l(h). Let s(o) = 0. What is o?
-5, 2
Suppose -4*j + 2*j = -10. Suppose x - 19 = -3*q, j*q + 4*x + 12 = 32. Suppose -17*o**3 - q*o**4 + 14*o**5 - 4*o**2 + 3*o**3 + 12*o**4 = 0. What is o?
-1, -2/7, 0, 1
Let c(k) = -8*k**3 + 26*k**2 + 102*k. Let j(u) = -15*u**3 + 130*u + 50*u**2 + 8*u - 42*u - 18*u + 127*u. Let v(r) = 5*c(r) - 3*j(r). Factor v(p).
5*p*(p - 7)*(p + 3)
Let c = -35497373/996960 + 239/14880. Let s = -6/67 - c. Let -19/2*i - s*i**3 - 30*i**2 - 1 - 14*i**4 = 0. Calculate i.
-1, -2/7, -1/4
Let m(c) = -c**5. Let w(n) = -10*n**5 + 3*n**4 + 9*n**3 + 5*n**2. Suppose 3*o - j + 49 = 0, 37 = -5*o + 5*j - 28. Let x(u) = o*m(u) + 2*w(u). Factor x(a).
-2*a**2*(a - 5)*(a + 1)**2
Let s(u) be the first derivative of -u**4/18 - 34*u**3/9 + 106*u**2/9 - 10363. Factor s(n).
-2*n*(n - 2)*(n + 53)/9
Let o = 133 + -131. Let h(f) be the first derivative of -3/2*f**o + 3/2*f**4 + 0*f**5 - 1/2*f**6 + 0*f**3 + 0*f - 30. What is k in h(k) = 0?
-1, 0, 1
Suppose 7*j = -4 - 10. Let w be (j + -2)*1 - (2 + -9). Let -4*q**3 + 4*q**3 - q**w + 8*q**2 - 8*q - q**3 = 0. What is q?
0, 2
Let a(n) = -n**3 + 5*n**2 - 3*n + 1. Let z be a(4). Let y be -23 + (1494/63 - -1). What is l in 0 - y*l**4 + 4/7*l**z - 4/7*l**2 + 0*l + 12/7*l**3 = 0?
0, 1
Let m = 17262947/11 - 1569355. Factor 0 + 2/11*n**2 - m*n.
2*n*(n - 21)/11
Let v(t) be the second derivative of t**4/9 - 472*t**3/9 + 470*t**2/3 + t + 483. Solve v(a) = 0 for a.
1, 235
Let x(d) be the second derivative of 15*d - 1/42*d**4 - 6/7*d**2 + 1/3*d**3 + 0. Suppose x(h) = 0. What is h?
1, 6
Suppose q - 4*c = 546, -q + 211 + 305 = 2*c. Let d = -6834/13 + q. Factor -2/13 + 0*x**3 + 0*x + d*x**2 - 2/13*x**4.
-2*(x - 1)**2*(x + 1)**2/13
Let q = -7/3289 + 46067/9867. Solve q*s + 2/3*s**3 + 0 - 16/3*s**2 = 0.
0, 1, 7
Let m be ((-6)/4)/(1419/(-4730)). Let u(l) be the third derivative of 0 - 1/10*l**m + 5*l**2 + 3/200*l**6 - 9/40*l**4 + 0*l + 2/5*l**3. Factor u(x).
3*(x - 4)*(x + 1)*(3*x - 1)/5
Factor -4*p**3 + 0*p + 3*p**3 - 5*p**2 - 21 - 11*p + 26*p**2 + 12*p.
-(p - 21)*(p - 1)*(p + 1)
Let s(f) = -36*f + 74. Suppose 0 = -2*c + 164 - 160. Let n be s(c). Suppose 0 + 2*h + 2/3*h**n = 0. What is h?
-3, 0
Suppose -2132 = 41*f - 10127. Factor -245/2 - 5/2*k**4 - f*k**2 - 40*k**3 - 280*k.
-5*(k + 1)**2*(k + 7)**2/2
Let k(p) be the second derivative of p**5/70 + 10*p**4/21 - 244*p**3/21 - 80*p**2 - p + 161. Solve k(z) = 0.
-28, -2, 10
Let m(t) be the second derivative of 1/9*t**3 - 45*t - 1 + 10/9*t**4 - 20/3*t**2 - 1/30*t**5. Factor m(z).
-2*(z - 20)*(z - 1)*(z + 1)/3
Let o be ((-14)/6)/((-3939)/(-117)). Let l = o - -1073/909. Factor -l*r**3 - 4/3*r**2 - 2/9*r**4 + 16/9 + 8/9*r.
-2*(r - 1)*(r + 2)**3/9
Let v(l) be the third derivative of l**8/168 - 641*l**7/105 + 105571*l**6/60 - 61053*l**5/2 + 226098*l**4 - 898704*l**3 - 63*l**2 + 5. Factor v(n).
2*(n - 316)**2*(n - 3)**3
Let g(w) be the third derivative of 1/84*w**8 - 16*w**2 + 0 - 1/3*w**4 - 1/10*w**6 - 2/105*w**7 + 2*w + 0*w**3 + 1/3*w**5. Factor g(n).
4*n*(n - 1)**3*(n + 2)
Factor -298*p - 444 - 2/9*p**3 - 152/3*p**2.
-2*(p + 3)**2*(p + 222)/9
Determine h, given that 1/3*h**3 + 539*h**2 + 290521*h + 156590819/3 = 0.
-539
Let n be (-9)/(126/4781)*(-2)/(-1). Let z = -683 - n. Factor 0*s + 2/5*s**2 + 1/5*s**3 + z.
s**2*(s + 2)/5
Let m(z) be the second derivative of z**6/15 - z**5/20 - 5*z**4/4 + 4*z**3/3 + 10*z**2 - 1265*z. Solve m(n) = 0.
-5/2, -1, 2
Let h(k) be the first derivative of k**6/180 + 9*k**5/10 + 243*k**4/4 + 24*k**3 + 49. Let g(m) be the third derivative of h(m). Factor g(v).
2*(v + 27)**2
Let d be 128/512 + 6/((-216)/(-63)). Suppose 0*b - 3/2*b**3 + 0 - b**d - 1/2*b**4 = 0. Calculate b.
-2, -1, 0
Factor -10744/3*t + 7214596/3 + 4/3*t**2.
4*(t - 1343)**2/3
Let t be 27/(-18)*8/3 - -104. Let h = -62 + t. Factor 4*l**2 + h + 49*l - 25 + 19 - 13*l.
4*(l + 1)*(l + 8)
Let o be 2/(-30) - 2/(-3) - (-2653)/1895. What is h in 9/5*h**o + 24/5 + 42/5*h = 0?
-4, -2/3
Let l(m) be the first derivative of -8/3*m**3 + 4*m - 7*m**2 + 4. Factor l(t).
-2*(t + 2)*(4*t - 1)
Factor -219/5*b + 3/5*b**2 + 204.
3*(b - 68)*(b - 5)/5
Let r(k) be the first derivative of -15*k**6/2 + 70*k**5 + 215*k**4/4 - 380*k**3 + 230*k**2 + 160*k - 411. Let r(z) = 0. Calculate z.
-2, -2/9, 1, 8
Let h(c) = 6592*c + 158210. Let m be h(-24). Determine d, given that -2/3*d**4 + m*d**2 + 2/3*d**3 - 4/3 - 2/3*d = 0.
-1, 1, 2
Let h(i) = -i**2 + 2. Let j(c) = 14*c - 23 + 76*c**2 - 1 - 2*c. Let s = 661 - 673. Let z(m) = s*h(m) - j(m). Suppose z(f) = 0. What is f?
-3/16, 0
Factor -38*t**2 - 90*t**2 - 125 - 110*t + 10 + 133*t**2.
5*(t - 23)*(t + 1)
Let g(i) be the first derivative of -5/24*i**4 - i + 17 + 5/12*i**3 + 0*i**2. Let m(t) be the first derivative of g(t). Factor m(l).
-5*l*(l - 1)/2
Suppose 389*m + 112*m = -26*m + 2108. Factor -17/10*b - 1 + 1/2*b**3 + 1/10*b**m - 3/10*b**2.
(b - 2)*(b + 1)**2*(b + 5)/10
Let y(c) be the first derivative of -c**3/6 + 303*c**2/4 + 305*c - 815. Factor y(v).
-(v - 305)*(v + 2)/2
Let z(g) be the third derivative of -1/4*g**5 + 0 - 19*g**2 - 5/24*g**4 + 1/24*g**6 + 1/42*g**7 + 0*g + 5/3*g**3. Suppose z(y) = 0. What is y?
-2, -1, 1
Let q = -68 - -70. Find t such that -q*t**2 - 1340*t + 14 + 1338*t - 2 = 0.
-3, 2
Let r(w) = 2283*w - 100448. Let l be r(44). Factor 0*f**3 + 3/4 + 3/2*f**2 - 1/4*f**l - 2*f.
-(f - 1)**3*(f + 3)/4
Let j be (4320/(-336))/(24/(-21)). Let m(r) be the first derivative of 10*r + j*r**4 - 45/2*r**2 - 6 - 7*r**5 + 25/3*r**3. Suppose m(y) = 0. Calculate y.
-1, 2/7, 1
Suppose 2*b - 20 = -3*b. Let u = -775 + 780. Factor o**b + 11*o**5 - 10*o**u + 0*o**4.
o**4*(o + 1)
Let h(c) be the first derivative of -1/20*c**5 + 36*c - 147 + 3/4*c**4 - 6*c**2 - 8/3*c**3. Determine o, given that h(o) = 0.
-2, 2, 6
Let t(c) be the first derivative of c**4/3 + 4*c**3 + 16*c**2 - 55*c + 54. Let l(a) be the first derivative of t(a). Factor l(f).
4*(f + 2)*(f + 4)
Let q(l) be the first derivative of -l**7/56 - 7*l**6/72 + l**5/12 + 5*l**4/3 + 32*l**3/3 + 2*l - 88. Let k(y) be the third derivative of q(y). Factor k(g).
-5*(g - 1)*(g + 2)*(3*g + 4)
Let w(h) be the second derivative of h**4/18 + 1454*h**3/9 - h - 331. Suppose w(o) = 0. Calculate o.
-1454, 0
Factor 457*q + 1667*q**4 + 523*q - 1672*q**4 - 245*q**3 + 20*q**2.
-5*q*(q - 2)*(q + 2)*(q + 49)
Suppose 94265*s - 94255*s = 0. Let w(o) be the third derivative of s - 36*o**2 + 1/12*o**4 - 1/120*o**5 - 1/3*o**3 + 0*o. Factor w(p).
-(p - 2)**2/2
Let l be (-35)/(-1) - (259 + -227). Suppose 1/2*y**4 - y**l + 0 + 0*y**2 + 1/2*y**5 + 0*y = 0. What is y?
-2, 0, 1
Let a(d) be the second derivative of 22*d**6/15 - 19*d**5/5 + 8*d**4/3 + d + 897. Factor a(t).
4*t**2*(t - 1)*(11*t - 8)
Factor -6/7*l + 0 - 3/7*l**2.
-3*l*(l + 2)/7
Let b = -817151 + 10623057/13. Solve -48/13 + 2/13*a**3 - b*a - 44/13*a**2 = 0.
-1, 24
Suppose 4*l - 4*u + 29 = -5*u, l - 4*u = 14. Let z be (l - 530/(-65)) + -2. Solve -z*b + 4/13*b**2 + 2/13*b**3 - 4/13 = 0 for b.
-2, -1, 1
Let t be 0/4 - 7/(35/(-10)). Factor 55*y - 2*y**3 + 852*y**t - 932*y**2 + 27*