1860 = -45*m. Suppose 19*w - 8 = m. Determine l so that 0 + 4/9*l + 2/9*l**w = 0.
-2, 0
Let j = -198 + 347. Suppose -18*v + 13 = -j. Factor 3 + v*a - 21/4*a**3 - 27/4*a**2.
-3*(a - 1)*(a + 2)*(7*a + 2)/4
Let u(v) = 2*v**3 + v**2 - 2*v - 3. Let d(m) = -9*m**3 - 76*m**2 - 1357*m - 2438. Let f(t) = -d(t) - 4*u(t). Solve f(r) = 0 for r.
-35, -2
Suppose y + x - 68 = -x, 5*y + x - 349 = 0. Let p = -68 + y. Suppose -9 + 42*z**2 - 41*z**p + 8 = 0. Calculate z.
-1, 1
Let y = -18459 - -18462. Factor -189/4 - 45/2*v**2 - 4*v**y - 54*v - 1/4*v**4.
-(v + 3)**3*(v + 7)/4
Suppose -v + 5*a - 12 = -0*v, 0 = 5*v + 3*a - 24. Suppose v*r - 3*g - 27 = 0, 3*r - 21 - 11 = 4*g. Factor -8*w**2 + w**2 - r*w - 4*w**3 + 8*w + 4 + 3*w**2.
-4*(w - 1)*(w + 1)**2
Suppose 4*c = 9*c - 80. Let g = c - 13. Factor 0*d**2 - 5 - d**2 - g*d**2 - d**2 + 10*d.
-5*(d - 1)**2
Let r(q) = 3*q**4 + 12*q**3 - 22*q**2 - 129*q - 115. Let x(l) = -2*l**4 - 8*l**3 + 15*l**2 + 87*l + 77. Let c(h) = -5*r(h) - 7*x(h). Factor c(i).
-(i - 3)*(i + 2)**2*(i + 3)
Suppose 0 = 3*g + 2 - 8. Suppose 2 = g*z - 2. Find j, given that -2*j**4 + 2*j + 0*j - 94*j**3 + 2*j**z + 92*j**3 = 0.
-1, 0, 1
Suppose t - 8 = 4*b, -7*b + 4*b - 6 = 3*t. Let d(i) be the third derivative of 7/60*i**5 + 23/24*i**4 + i**3 + t*i - 10*i**2 + 0. Factor d(g).
(g + 3)*(7*g + 2)
Let t = 237/3502 - -1277/7004. Suppose 0 + 0*m**3 - 5/4*m**4 + t*m**5 + 0*m + 0*m**2 = 0. What is m?
0, 5
Let o(m) be the second derivative of 1/48*m**4 + 0*m**2 - 4*m + 4 - 1/24*m**3. Factor o(t).
t*(t - 1)/4
Let p be -5*-8*(-5)/(-50)*2. Suppose 8*i - 198 = 74. What is s in -i*s**4 + p - 61*s**2 - 17*s - 23*s + 8*s**5 + 87*s**2 + 32*s**3 = 0?
-1, 1/4, 1, 2
Let t = 4901 + -4898. Let a(u) be the second derivative of 0 - 5/6*u**t - u + 5/24*u**4 + 0*u**2. Factor a(k).
5*k*(k - 2)/2
Let p(a) be the second derivative of 2*a**6/105 + 2*a**5/35 - 5*a**4/7 + 8*a**3/21 + 40*a**2/7 + 13142*a. Suppose p(q) = 0. What is q?
-5, -1, 2
Factor -794/5*n - 2/5*n**2 - 792/5.
-2*(n + 1)*(n + 396)/5
Let t(k) be the third derivative of -k**5/60 - 491*k**4/24 - 244*k**3 + k**2 - k - 234. Factor t(j).
-(j + 3)*(j + 488)
Factor 27*m + 0 + 141*m**2 + 91/3*m**3 + 5/3*m**4.
m*(m + 9)**2*(5*m + 1)/3
Let c = -30665 + 214675/7. Suppose 4/7*z**5 - 20/7*z**2 + c*z**4 - 16/7*z + 0 + 12/7*z**3 = 0. What is z?
-4, -1, 0, 1
Suppose 4*j + 13*j = -1275. Let f be ((-18)/j - 0)/(4/20). Factor 0*w**3 + 12/5*w**2 + f + 16/5*w - 2/5*w**4.
-2*(w - 3)*(w + 1)**3/5
Let m be (12/50)/((351/(-43875))/(6/(-25))). Let 6/5*q**5 + m*q**2 + 26/5*q**3 - 16/5 - 8*q - 28/5*q**4 = 0. What is q?
-1, -1/3, 2
Suppose 15*m - 55 = 20. Factor 120*d**2 - 255*d + m*d**3 - 231 + 617 - 256.
5*(d - 1)**2*(d + 26)
Let g = 355 + 50. Let 93*i**2 + 15 + 537*i**2 + 11 - 340*i + g*i**3 + 14 = 0. What is i?
-2, 2/9
Let n(t) be the second derivative of t**5/10 + 250*t**4/3 - 2012*t**3/3 + 2016*t**2 - 13*t - 16. Solve n(o) = 0.
-504, 2
Let y(s) = 26*s**3 - 2368*s**2 - 175249*s. Let m(l) = 3*l**3 - 296*l**2 - 21906*l. Let f(z) = -17*m(z) + 2*y(z). Find n, given that f(n) = 0.
-148, 0
Let x(m) be the third derivative of 3/2*m**3 + 11/4*m**4 + 5/24*m**7 + 61/48*m**6 + 0*m + 0 + 643/240*m**5 + 98*m**2. Let x(f) = 0. Calculate f.
-2, -3/5, -2/7
Suppose 2/7*z**4 + 10/7*z - 12/7 - 10/7*z**3 + 10/7*z**2 = 0. What is z?
-1, 1, 2, 3
Suppose 790 = 203*a + 192*a. Let y(f) be the third derivative of -1/735*f**7 - 1/84*f**4 + 1/420*f**6 + 1/210*f**5 + 3*f**a + 0 + 0*f + 0*f**3. Factor y(j).
-2*j*(j - 1)**2*(j + 1)/7
Suppose 2*b - 24 = -4*b. Suppose -2*o - o = c - 26, -136 = -4*c - b*o. Factor -10*a + 19 - 2*a**2 - 3*a**2 - c + 14.
-5*(a + 1)**2
Suppose 180*g - 180*g**3 - 2/5*g**4 - 902/5 + 904/5*g**2 = 0. What is g?
-451, -1, 1
Let k = 3191947/1241310 - 1/177330. Determine u so that k*u - 24/7*u**2 - 18/7*u**3 + 3 + 3/7*u**4 = 0.
-1, 1, 7
Let v(o) be the third derivative of -13*o**5/5 - 157*o**4/8 - 3*o**3/2 + 34*o**2 - 34. Suppose v(g) = 0. What is g?
-3, -1/52
Let j(l) = 2912*l - 55326. Let q be j(19). Factor 1/8*s**3 - 3/2 - 7/8*s**2 + q*s.
(s - 3)*(s - 2)**2/8
Let i = -88961 + 88961. Factor -2/3*n**2 - 6*n + i.
-2*n*(n + 9)/3
Suppose 2035*j - 2040*j + 15 = 0. Determine s, given that 15*s + 0 + 40*s**2 + 5/3*s**5 + 110/3*s**j + 40/3*s**4 = 0.
-3, -1, 0
Let i(c) be the second derivative of -c**6/240 - 47*c**5/80 - 185*c**4/96 - 23*c**3/12 - 1418*c + 4. Let i(x) = 0. Calculate x.
-92, -1, 0
Let b(f) be the second derivative of -f**7/3780 + f**6/216 + f**5/30 - f**4/4 - 2*f**3/3 + 33*f. Let v(z) be the third derivative of b(z). Solve v(l) = 0 for l.
-1, 6
Suppose -55*p**4 - 77*p**4 - 147*p - 97*p + 84*p - 48 + 60*p**2 + 280*p**3 = 0. What is p?
-6/11, -1/3, 1, 2
Suppose 2/7*s**4 - 138/7*s**2 + 1080/7 - 306/7*s + 34/7*s**3 = 0. Calculate s.
-20, -3, 3
Suppose m + 3*m - 116 = -2*x, 308 = 5*x + m. Factor -x*l - 15 - 6 - 34*l**2 + 1 - 26*l**3 - 32*l**2 - 2*l**4.
-2*(l + 1)**3*(l + 10)
Let v(h) = 5*h**2 + 858*h - 36127. Let d(t) = 140*t**2 + 23170*t - 975430. Let b(n) = 2*d(n) - 55*v(n). Factor b(o).
5*(o - 85)**2
Let p = -434 - -436. Suppose -3*q + 8*q - 18 = p*n, -q - 5*n = 18. Factor 0*y**q - 4/3*y + 0 + 1/3*y**3.
y*(y - 2)*(y + 2)/3
Let g(w) = -3*w + 3. Let s(y) = 13*y - 13. Let z(m) = -9*g(m) - 2*s(m). Let x(n) = 2*n**2 + 102*n + 1146. Let k(j) = x(j) - 6*z(j). Factor k(v).
2*(v + 24)**2
Let n be (2 + -1)*(12 - (3 - -9)). Suppose -18*g + 23 + 31 = n. Factor 0*p**g + 2/15*p**5 + 0*p + 0 + 0*p**2 - 2/15*p**4.
2*p**4*(p - 1)/15
Let o(b) be the first derivative of -4*b**3/3 + 62*b**2 + 264*b + 1143. Find c such that o(c) = 0.
-2, 33
Suppose 9*z + 2 - 47 = 0. Factor -147*h**z + 152*h**5 + 2*h**4 + 3*h**4.
5*h**4*(h + 1)
Let x(h) be the second derivative of -1/48*h**4 - 1/80*h**5 + 0*h**2 + h + 1/120*h**6 + 157 + 1/168*h**7 + 0*h**3. Factor x(d).
d**2*(d - 1)*(d + 1)**2/4
Let r(f) be the second derivative of -11/18*f**4 - 8/15*f**5 + 1/2*f**2 + 13/18*f**3 + 4 - 15*f. Suppose r(o) = 0. Calculate o.
-1, -3/16, 1/2
Suppose -v + 11*v = 30. Find l such that -4 + 2047*l + 5*l**v - 2047*l + 11*l**2 + 2*l**4 - 14*l**3 = 0.
-1/2, 1, 2
Let j(n) be the second derivative of n**6/90 - n**5/30 + n**4/36 - 175*n - 5. Suppose j(k) = 0. Calculate k.
0, 1
Solve -15/4*i**2 - 21/8*i**3 + 0 + 3/8*i**4 + 6*i = 0 for i.
-2, 0, 1, 8
Let k(f) be the second derivative of 3*f**5/40 + 5*f**4/8 - 2*f**3 - 9*f**2 - 26*f + 15. Find g, given that k(g) = 0.
-6, -1, 2
Suppose -3*b = 398 + 886. Let h be (-3 + b/(-140))/((-7)/(-70)). Suppose 32/7*c**3 - h*c**4 - 88/7*c**2 - 36/7 + 96/7*c = 0. Calculate c.
1, 3
Suppose 32 = 3*g - k, 5*k - 34 = -3*g + 4*k. Let a be -4 + 2 - g/((-484)/92). Factor 0 + 0*t + a*t**4 - 2/11*t**3 + 0*t**2.
t**3*(t - 2)/11
Let m = 993913/3469213 - -240/2791. Let b = m - 1/113. Determine i, given that 2/11*i**3 + b - 2/11*i - 4/11*i**2 = 0.
-1, 1, 2
Let x(s) be the third derivative of s**6/24 + 11*s**5/12 - 1505*s**4/24 + 6125*s**3/6 - 211*s**2. Factor x(r).
5*(r - 7)**2*(r + 25)
Let n(y) = y**3 + y**2 + 40. Let g be n(0). Let h = -10086 - -10088. Factor 5*z**3 - 15*z + 90 - g*z**2 - 14*z**2 + 34*z**h.
5*(z - 3)**2*(z + 2)
Let h(i) = -3*i**2 - 2*i - 4. Let g(r) = 12*r**2 + 9*r + 15. Let z be (32/4 - 10)*2/(-1). Let m(f) = z*g(f) + 15*h(f). Factor m(y).
3*y*(y + 2)
Suppose -83 = 49*f - 328. Let q(v) be the second derivative of -2*v - 1/24*v**4 + 0 - 1/180*v**6 + 0*v**2 - 1/40*v**f - 1/36*v**3. Factor q(j).
-j*(j + 1)**3/6
Factor -1026 + 622 - 1162*f - 1912 - 2*f**2.
-2*(f + 2)*(f + 579)
Let p(s) be the third derivative of -s**8/112 - 3*s**7/70 + 21*s**6/40 + 83*s**5/20 + 15*s**4/2 - 24*s**2 + 1. Let p(x) = 0. Calculate x.
-4, -3, -1, 0, 5
Let m(b) be the first derivative of -28/3*b**3 + 0*b + b**4 + 12*b**2 + 60. Let m(d) = 0. Calculate d.
0, 1, 6
Let x(d) = 4*d. Let u(p) = 2*p**2 - 26*p - 20. Suppose -2*m - 12 = -14. Let b(g) = m*u(g) + 5*x(g). Determine s, given that b(s) = 0.
-2, 5
Let j(a) = 2*a**2 + 3*a - 44. Let n be j(-6). Let x(z) be the second derivative of -n*z + 1/28*z**4 + 0 - 9/14*z**2 - 1/7*z**3. Find o, given that x(o) = 0.
-1, 3
Find k, given that 147/4*k**3 + 234*k - 1701/4*k**2 - 33 = 0.
2/7, 11
Let i(y) be the third derivative of -y**6/360 + 13*y**5/60 + 23*y**4/36 - 40*y**3/3 - 49*y**2 + 6. Factor i(k).
-(k - 40)*(k - 2)*(k + 3)/3
What is n in 9