, 0
Let f = -166 + 189. Factor 2*p**3 - 12*p**2 - 52*p + 16*p + 23*p + f*p.
2*p*(p - 5)*(p - 1)
Let r(j) be the second derivative of -j**7/336 - j**6/10 - 213*j**5/160 - 433*j**4/48 - 34*j**3 - 72*j**2 + 3*j + 300. Find h, given that r(h) = 0.
-8, -3, -2
Let c(s) = s**2 + 3*s - 10. Let g be c(3). Suppose 2*j + 5*f - g = -4, j + f - 2 = 0. Factor 7*l**3 + 4 + 9*l + l**4 - 2 - j + 15*l**2.
l*(l + 1)*(l + 3)**2
Let f be (15/(-12)*(-2996)/(-1070))/(2/(-14)). Find q such that -7*q**3 + 0 - f*q**2 + 0*q - 1/2*q**4 = 0.
-7, 0
What is k in 1/2*k**3 + 0*k**2 + 0 + 0*k + 411/8*k**4 = 0?
-4/411, 0
Suppose -47*g + 50*g = 5*a - 8, 4 = a. Suppose -5*t + 19 - 1 = g*c, -4*c = 2*t - 12. Factor -2/5*z + 0 + 2/5*z**c.
2*z*(z - 1)/5
Let z(u) = -9*u**2 - 3*u - 18. Let c(l) = 169*l + 424 + l**2 - 422 - 170*l. Suppose -s = -4 + 5. Let y(p) = s*z(p) - 6*c(p). Factor y(b).
3*(b + 1)*(b + 2)
Let m(p) be the first derivative of p**6/3 + 17*p**5/15 + 2*p**4/3 - 2*p**3 + 4*p**2 - 28. Let c(b) be the second derivative of m(b). Find n such that c(n) = 0.
-1, 3/10
Let k = -240 - -236. Let a(d) = -6*d**3 + 3*d**2 - 9*d - 3. Let l(z) = 5*z**3 - 3*z**2 + 7*z + 3. Let i(c) = k*a(c) - 5*l(c). Suppose i(o) = 0. What is o?
-1, 1, 3
Suppose -2*t + 94 = 96, 2*y + t - 9 = 0. Let l(p) be the third derivative of -y*p**2 + 2/105*p**5 + 0 + 2/21*p**3 + 1/420*p**6 + 5/84*p**4 + 0*p. Factor l(n).
2*(n + 1)**2*(n + 2)/7
Factor -113*r**4 - 115*r**2 - 591*r**3 + 296*r**3 - r**5 + 524*r**3.
-r**2*(r - 1)**2*(r + 115)
Let u(q) be the second derivative of 4/27*q**3 + 1/3*q**2 + 1/54*q**4 - 3*q + 0. Factor u(o).
2*(o + 1)*(o + 3)/9
Let b be 24/10 - (-7 + 222/30). Solve -3*y**2 + 15*y + 3*y**2 + 6*y**b + 10 - y**2 = 0 for y.
-2, -1
Let l(f) be the first derivative of 1024*f**5/15 - 392*f**4/3 + 208*f**3/3 - 41*f**2/3 + 2*f/3 + 449. Solve l(q) = 0 for q.
1/32, 1/4, 1
Let t(w) be the second derivative of w**7/5040 + w**6/720 - w**5/30 + 25*w**4/12 + w**3/3 + 2*w + 117. Let d(m) be the third derivative of t(m). Factor d(b).
(b - 2)*(b + 4)/2
Let o(n) be the third derivative of -n**7/1260 + n**6/30 - n**5/3 - n**4/24 - 7*n**3/6 - 27*n**2. Let k(w) be the second derivative of o(w). Factor k(r).
-2*(r - 10)*(r - 2)
Let a(f) = -11*f - 2. Let h be a(0). Let i be -14*h/7 + -2. Factor -2/5*k**i - 6/5*k - 4/5.
-2*(k + 1)*(k + 2)/5
Let o be (-2)/6 - (-172)/12. Suppose 4*t + o = 18. Factor 12*x**2 + 3 + 6 - 20*x - t.
4*(x - 1)*(3*x - 2)
Let r(d) be the third derivative of -d**6/80 - 5*d**5/8 - 47*d**4/16 - 23*d**3/4 + 5*d**2 + 9*d + 2. Solve r(g) = 0 for g.
-23, -1
Let s(n) be the first derivative of 10*n**4/9 + 344*n**3/27 + 469*n**2/9 + 784*n/9 + 2353. Determine y, given that s(y) = 0.
-7/2, -8/5
Solve -137/5*j**2 - 27/5 - 141/5*j + 4/5*j**4 - 19/5*j**3 = 0.
-3, -1, -1/4, 9
Let y = 187707 - 187702. Solve -2/11*t + 12/11*t**4 - 24/11*t**2 - 2/11*t**y + 12/11 + 4/11*t**3 = 0 for t.
-1, 1, 6
Let b(q) be the first derivative of -q**6/2 + 12*q**5/5 - 3*q**4/4 - 14*q**3 + 30*q**2 - 24*q - 644. What is k in b(k) = 0?
-2, 1, 2
Let -4*w + 1/9*w**2 + 35/9 = 0. Calculate w.
1, 35
Suppose 54 = 19*q - 10*q. Find l, given that l**2 - 3*l**2 + 112*l + q*l**2 + 784 = 0.
-14
Let f(y) = -19 + 28 + 10*y**2 + 5*y**3 - 9. Let j(n) = 8*n**3 + 14*n**2. Let l(b) = -7*f(b) + 5*j(b). Suppose l(o) = 0. What is o?
0
Let p(g) be the third derivative of 101/6*g**4 + 50/3*g**3 + 104/15*g**5 + 2/15*g**6 - 87*g**2 + 0*g + 0. Factor p(v).
4*(v + 25)*(2*v + 1)**2
Let y(q) be the first derivative of -q**7/294 + 3*q**6/70 - 3*q**5/28 + q**4/12 + 2*q + 92. Let c(l) be the first derivative of y(l). Let c(w) = 0. Calculate w.
0, 1, 7
Let i(c) be the third derivative of 0*c - 2/3*c**3 - 1/120*c**6 - 1/12*c**5 + 0 - 31*c**2 - 1/3*c**4. Factor i(s).
-(s + 1)*(s + 2)**2
Let v = -123/52 + 2969/156. Let -v*b**2 - 38/3*b**3 - 2/3*b**5 - 14/3*b**4 - 8/3 - 32/3*b = 0. Calculate b.
-2, -1
Suppose 14*v = 5*v + 18. Find b, given that -7*b**v + 10*b + 3*b**2 - 21*b**3 - 6 + 2*b**2 + 19*b**3 = 0.
-3, 1
Suppose -1751*y + 90 = -1756*y. Let v be 75/(-350)*14/y. Factor 5/6*c**2 + v*c**3 + 0 + 2/3*c.
c*(c + 1)*(c + 4)/6
Let l(b) be the first derivative of -b**5/5 - 3*b**4/4 + 16*b**3/3 - 6*b**2 + 518. Factor l(y).
-y*(y - 2)*(y - 1)*(y + 6)
Let z(o) be the second derivative of o**7/840 - 5*o**6/48 - 13*o**5/20 - 7*o**4/4 - o**2/2 + 13*o. Let f(y) be the third derivative of z(y). Solve f(w) = 0.
-1, 26
Find z such that 185*z + 1487*z**3 - 2989*z**3 + 1497*z**3 - 130 - 50*z**2 = 0.
-13, 1, 2
Factor -3/5*z**4 - 54/5*z**2 + 0 + 0*z - 57/5*z**3.
-3*z**2*(z + 1)*(z + 18)/5
Let a(y) be the third derivative of y**7/945 - 8*y**6/135 + 52*y**5/45 - 32*y**4/3 + 48*y**3 + 3*y**2 - 6. Determine b so that a(b) = 0.
2, 6, 18
Let o(y) be the second derivative of y**4/48 + 127*y**3/24 + 63*y**2/4 + 2633*y. Determine r so that o(r) = 0.
-126, -1
Let y(r) = 4*r + 192. Let q be y(-47). Factor -13*t**3 + 518*t**2 - 538*t**2 - 8*t**4 + 3*t**q - 12*t**3.
-5*t**2*(t + 1)*(t + 4)
Solve -1/2*d**4 - 88198*d - 87362 - 45357/2*d**2 - 211*d**3 = 0 for d.
-209, -2
Let y(d) be the second derivative of -37*d**5/4 + 1105*d**4/18 + 20*d**3/9 + 9*d + 193. Determine o, given that y(o) = 0.
-2/111, 0, 4
Let t(a) be the second derivative of 0*a**3 - 1/70*a**5 + 256/7*a**2 - 2/7*a**4 + 65*a + 0. Solve t(z) = 0 for z.
-8, 4
Let p(z) be the first derivative of z**4/48 + 7*z**3/24 - 11*z + 75. Let u(x) be the first derivative of p(x). Factor u(t).
t*(t + 7)/4
Let t(k) = -2*k**2 - 73*k + 106. Let u(d) = -3*d**2 - 140*d + 212. Let g(m) = 15*t(m) - 9*u(m). Find q, given that g(q) = 0.
2, 53
Let n = -8839500/301 + 29367. Let x = 17/43 + n. Find y, given that -338/7 + 52/7*y - x*y**2 = 0.
13
Let p be ((-310)/(-16) - 6/16) + -4. Factor 8 - 12 + 38*s**2 - p + 64*s + 5*s**3 - 13.
(s + 4)**2*(5*s - 2)
Let w(c) be the second derivative of -2 + 0*c**2 + 1/60*c**4 + 5*c + 1/30*c**3. Let w(o) = 0. What is o?
-1, 0
Let m(v) be the third derivative of -2/3*v**6 - 5*v**2 - 14/3*v**5 - 125/6*v**3 + 0 - 325/24*v**4 + 3*v. Factor m(w).
-5*(w + 1)*(4*w + 5)**2
Let z = -3968 - -3973. Let r(s) be the second derivative of -11*s - 9/11*s**2 + 5/66*s**4 + 1/11*s**3 + 0 + 1/110*s**z. Solve r(g) = 0.
-3, 1
Suppose 1000*q + 15 = -3*r + 999*q, -q = 4*r + 15. Factor 5/3*c**4 + 35/3*c**3 + 40/3*c + r + 70/3*c**2.
5*c*(c + 1)*(c + 2)*(c + 4)/3
Let c(q) be the first derivative of 5*q**4 + 824*q**3/3 + 74*q**2 - 656*q - 2001. Factor c(t).
4*(t + 1)*(t + 41)*(5*t - 4)
Let c be (-1 + -10)*(-2 - 0). Suppose -2*a + 2 + c = 0. Factor 2 + 5*n - 6*n - 1 - a*n**2.
-(3*n + 1)*(4*n - 1)
Factor 272*g**2 + 33/2*g - 1089/4 - 33/2*g**3 + 1/4*g**4.
(g - 33)**2*(g - 1)*(g + 1)/4
Determine u, given that -42*u + 4*u**2 - 49/2*u**5 + 8 + 283/2*u**3 + 63*u**4 = 0.
-1, 2/7, 4
Suppose -29*y - 168 = -146 - 109. Factor -31/3*c**2 + 224/3*c + 256/3 + 1/3*c**y.
(c - 16)**2*(c + 1)/3
Let o = 13809 - 27617/2. Let b(s) be the second derivative of 8*s - 1/12*s**4 + 0 - s**2 + o*s**3. Solve b(i) = 0 for i.
1, 2
Let x = 19989 - 19983. Let l(y) be the third derivative of 0*y + 1/140*y**7 + 1/40*y**5 + 0*y**3 + 0*y**4 - 18*y**2 - 1/40*y**x + 0. What is u in l(u) = 0?
0, 1
Let b = 789389 + -789385. Suppose 7/3*k**3 + 26/3*k**2 + 11*k + 1/6*k**b + 9/2 = 0. Calculate k.
-9, -3, -1
Let g(j) be the second derivative of 3*j**6/25 - 3*j**5/10 - 11*j**4/5 + 52*j**3/5 - 72*j**2/5 - 1528*j. Determine z so that g(z) = 0.
-3, 2/3, 2
Suppose -3*c - 1 = m - 2, 3*c - 2*m - 16 = 0. What is k in -3*k**3 + 773*k**2 - 812*k**c - k**3 + k**3 = 0?
-13, 0
Let z(n) = 5*n**3 - 222*n**2 - 454*n - 10. Let v(h) = -h**3 - h + 5. Let d(o) = -2*v(o) - z(o). Factor d(i).
-3*i*(i - 76)*(i + 2)
Let i(a) = 349*a + 11. Let c be i(6). Determine w, given that -2121*w**2 + 16*w - 2*w**5 + c*w**2 + w**5 - 12*w**3 - 3*w**5 + 16*w**4 = 0.
-1, 0, 1, 2
Let d(p) be the first derivative of 25/3*p**2 + 10/9*p**3 + 1/18*p**4 + 16*p - 16. Let i(u) be the first derivative of d(u). Factor i(x).
2*(x + 5)**2/3
Let j(c) = 46*c**2 - 4830*c - 4876. Let r(q) = 14*q**2 - 1611*q - 1625. Let p(m) = 3*j(m) - 10*r(m). Factor p(s).
-2*(s - 811)*(s + 1)
Let i(k) be the first derivative of -15/2*k**2 + 10*k + 84 + 0*k**5 + 5*k**4 - 5/6*k**6 - 10/3*k**3. Factor i(s).
-5*(s - 1)**3*(s + 1)*(s + 2)
Let w(q) = -39*q**3 - 2*q**2 - 3*q - 