 -303367/9 - -33743. Let u = h - -35/18. Suppose -15/2*i**2 + 1/2*i**3 - 125/2 + u*i = 0. What is i?
5
Suppose 67 = 4*p + 3*l, -37 + 87 = 2*p - 4*l. Factor -p + 12*t - 12*t**3 + 1 + 4*t**2 + 4*t**4 + 10.
4*(t - 2)*(t - 1)**2*(t + 1)
Let h(t) be the first derivative of 2*t**3/27 + 2*t**2/3 - 14*t/9 + 64. Factor h(c).
2*(c - 1)*(c + 7)/9
Factor -3/7*l**2 + 0*l + 12/7.
-3*(l - 2)*(l + 2)/7
Let b = -317571 + 71770703/226. Let y = -2/113 - b. Find f, given that y + 3/2*f**2 - 3*f = 0.
1
Let h(c) = c**3 + 6*c**2 + 5*c - 4. Let u(a) = 6*a**2 + 6*a - 6. Let l(x) = -3*h(x) + 2*u(x). Solve l(z) = 0 for z.
-1, 0
Suppose -i - 4*v + 53 - 13 = 0, 2*v = 4. Let x(a) be the first derivative of -a**5 + 2*a**5 - i*a**3 + 27*a**3 - 5*a**2 + 4. Determine k so that x(k) = 0.
-1, 0, 2
Let c(i) = 28*i**4 + 164*i**3 + 316*i**2 + 156*i + 24. Let f(g) = -6*g**4 - 33*g**3 - 63*g**2 - 31*g - 5. Let b(r) = 5*c(r) + 24*f(r). Factor b(s).
-4*s*(s - 9)*(s + 1)**2
Suppose 13*h = -3*h + 48. Let s(p) be the second derivative of -1/84*p**4 - 1/7*p**2 - 8*p - 1/14*p**h + 0. Factor s(v).
-(v + 1)*(v + 2)/7
Let o(k) be the first derivative of k**6/18 - 5*k**5/3 + 14*k**4 - 16*k**3 + 107. Factor o(z).
z**2*(z - 12)**2*(z - 1)/3
Let c(p) be the second derivative of -p**7/63 + 7*p**6/45 - 11*p**5/30 - 7*p**4/18 + 4*p**3/3 - 26*p. What is q in c(q) = 0?
-1, 0, 1, 3, 4
Factor s**3 + 0 - 1/3*s**4 + 1/3*s - s**2.
-s*(s - 1)**3/3
Let x(w) = -27 + 31 + 10*w - 3*w - 25. Let r be x(3). Factor 0 + 0*n + r*n**2 + 4/11*n**3 + 2/11*n**4.
2*n**3*(n + 2)/11
Let x(r) be the first derivative of -4*r**3/3 - 26*r**2 + 56*r + 133. Factor x(u).
-4*(u - 1)*(u + 14)
Suppose -3*w = -3*y - 6*w + 15, -3*y = w - 11. Factor 2/7*k**2 + 6/7*k - 6/7*k**y - 2/7.
-2*(k - 1)*(k + 1)*(3*k - 1)/7
Suppose 5*u - 14 = 4*i, -2*u + 8 = -i - 3*i. Let l be 110*5/(675/36). Factor 140/3*n**u + 16/3 - 50/3*n**3 - l*n.
-2*(n - 2)*(5*n - 2)**2/3
Let q(n) be the second derivative of 4/63*n**7 - 1/15*n**6 + 1/9*n**3 - 1/6*n**5 + 0 + 0*n**2 + 1/6*n**4 - 6*n. Find j, given that q(j) = 0.
-1, -1/4, 0, 1
Let w(d) be the second derivative of d**6/30 - 2*d**5/5 + 13*d**4/12 - d**3 - 247*d. Let w(s) = 0. Calculate s.
0, 1, 6
Find v such that -5766*v**4 + 5770*v**4 + v**3 + 9*v**3 + 14*v**3 = 0.
-6, 0
Let t(l) be the third derivative of 2*l**7/105 + 17*l**6/30 - 4*l**5/3 - 6*l**4 - 411*l**2. Let t(w) = 0. Calculate w.
-18, -1, 0, 2
Let x be 11/(33/108) - 2. Let i = 58 - x. Determine v so that -20*v**2 - 26*v + 14*v**5 + i*v - 48*v**3 + 36*v**5 + 20*v**4 = 0.
-1, -1/5, 0, 1
Let f(g) be the first derivative of 3*g**5/25 + 3*g**4/20 - 41*g**3/5 + 333*g**2/10 - 216*g/5 - 259. Factor f(b).
3*(b - 3)**2*(b - 1)*(b + 8)/5
Let j(i) be the second derivative of -i**8/5600 + i**7/1260 - i**6/900 + i**4/4 - 12*i. Let q(b) be the third derivative of j(b). Solve q(o) = 0 for o.
0, 2/3, 1
Let k(n) be the third derivative of 0*n + 0*n**3 + 7*n**2 + 0 - 5/24*n**4 - 1/60*n**5. Let y(b) = -b. Let j(p) = -k(p) + 5*y(p). Find z, given that j(z) = 0.
0
Determine s, given that 27/5*s**3 - 48/5*s**2 - 12/5*s + 0 = 0.
-2/9, 0, 2
Let x(l) be the third derivative of -l**6/340 + 7*l**5/510 - l**4/51 + 62*l**2. Suppose x(i) = 0. Calculate i.
0, 1, 4/3
Let b(x) be the first derivative of -x**6/3 + 2*x**5/5 + 5*x**4 - 20*x**3/3 - 9*x**2 + 18*x - 305. Let b(v) = 0. What is v?
-3, -1, 1, 3
Let 2/3*l**3 + 2*l**2 + 0*l + 0 = 0. Calculate l.
-3, 0
Suppose 0 = -4*d + 3*x + 18, 0*x = 4*d + 2*x - 8. Suppose 234*n + 15*n**2 - 246*n - 4*n**d + n**2 = 0. What is n?
0, 1, 3
Let c be (-2)/(-27)*-3 - 573/(-27). Determine t so that -t**3 - c*t**2 + 0*t + 17*t**2 - 3*t = 0.
-3, -1, 0
Factor 7 + 2*v**2 - 4*v + 17 - 16*v - 6*v + 0.
2*(v - 12)*(v - 1)
Let a(s) be the third derivative of -s**8/336 + s**7/210 + s**6/40 - s**5/60 - s**4/12 - 2*s**2 - 15. Solve a(p) = 0 for p.
-1, 0, 1, 2
Let q(n) be the first derivative of n**7/14 - 3*n**6/10 + 3*n**5/10 - 12*n - 4. Let z(o) be the first derivative of q(o). Find i such that z(i) = 0.
0, 1, 2
Let b = 562/3 + -5393/15. Let z = -172 - b. Factor 0*f + 2/5*f**2 - 1/5*f**4 + 0*f**3 - z.
-(f - 1)**2*(f + 1)**2/5
Find y, given that -9*y**5 + 10*y**5 + 2*y**5 + 336*y**3 + 60*y**4 + 198*y**2 - 1458 - 974*y - 565*y = 0.
-9, -3, -1, 2
Let w(u) be the second derivative of u**9/52920 - u**8/23520 - u**7/8820 + u**6/2520 + 11*u**4/12 + 6*u. Let y(o) be the third derivative of w(o). Factor y(d).
2*d*(d - 1)**2*(d + 1)/7
Let z = -301 + 18365/61. Let u = 102/305 + z. Factor u*r**4 + 2*r**3 + 4/5 + 18/5*r**2 + 14/5*r.
2*(r + 1)**3*(r + 2)/5
Let b = 246483/80 - 3081. Let q(v) be the second derivative of 4*v - 3/8*v**3 - 3/16*v**4 - 3/8*v**2 - b*v**5 + 0. Suppose q(w) = 0. Calculate w.
-1
Let j(t) be the first derivative of -t**8/11760 - t**7/2940 - 11*t**3/3 + 12. Let m(v) be the third derivative of j(v). What is s in m(s) = 0?
-2, 0
Let y(x) be the second derivative of 1/210*x**5 - 3/2*x**2 + 0 - 3*x + 0*x**3 + 1/84*x**4. Let i(g) be the first derivative of y(g). Factor i(b).
2*b*(b + 1)/7
Suppose 14*w - 12*w - u - 5 = 0, 5*u + 25 = -w. Factor 0*o - 3/2*o**3 - o**2 + w - 1/2*o**4.
-o**2*(o + 1)*(o + 2)/2
Suppose -178 = 5*t - 9*t + 2*g, 0 = t + 2*g - 32. Let f = t - 374/9. Find x such that f + 2/9*x - 2/9*x**2 = 0.
-1, 2
Let c(s) = s + 13. Let n be c(-6). Solve 2*p**3 - n*p**3 - 48*p**2 + 3*p**3 - 2*p**3 = 0.
-12, 0
Let g(b) be the first derivative of -b**4 - 352*b**3/3 + 358*b**2 - 360*b - 216. What is c in g(c) = 0?
-90, 1
Let j = 2440 - 2437. Factor 0 + 0*s**2 + 2/11*s**j - 8/11*s.
2*s*(s - 2)*(s + 2)/11
Let v be 2/(-3) + 20/3. Suppose -7*z + v = -5*z. Factor 2*f**3 + f**z - 7*f**3 + 6*f**3 - 2*f**2.
2*f**2*(f - 1)
Factor 145/3*o - 50 + 5/3*o**2.
5*(o - 1)*(o + 30)/3
Suppose 4*y - 23 = -5*h, 3*y - 5*y + 13 = 3*h. Let u = -819 + 9015/11. Determine r, given that 2/11 - 2/11*r**3 - u*r + 6/11*r**y = 0.
1
Let w(d) be the second derivative of d**5/120 - d**4/36 - 8*d**3/9 + 8*d**2 + 142*d. Suppose w(l) = 0. What is l?
-6, 4
Let m(d) be the third derivative of -d**9/544320 - d**8/60480 - d**7/22680 - 2*d**5/15 - 5*d**2. Let r(y) be the third derivative of m(y). Factor r(p).
-p*(p + 1)*(p + 2)/9
Let i(y) be the third derivative of y**7/105 + 7*y**6/20 + 19*y**5/30 - 7*y**4/4 - 20*y**3/3 + 775*y**2. Factor i(h).
2*(h - 1)*(h + 1)**2*(h + 20)
Let r be (-1)/(-2*(-2)/(-8)). Let q be 510/272 - (-1)/8. Find x such that 1 - x - x**3 - 1 - r*x**q + 4*x**2 = 0.
0, 1
Let h be (-16)/12*(-12)/8. Let i = 7 + -5. Factor 8*q**4 + h*q**2 + 15*q**3 + i*q - 2*q - 7*q**3.
2*q**2*(2*q + 1)**2
Let k(z) be the second derivative of z**6/1620 + z**5/540 + 7*z**3/6 - z. Let a(f) be the second derivative of k(f). Factor a(g).
2*g*(g + 1)/9
Let q(b) be the second derivative of b**8/40320 - b**7/3780 + b**6/1080 - 3*b**4/4 - 9*b. Let l(n) be the third derivative of q(n). Factor l(f).
f*(f - 2)**2/6
Let w(a) be the second derivative of -a**6/10 - 21*a**5/10 - 61*a**4/4 - 42*a**3 - 54*a**2 - 20*a + 3. Let w(q) = 0. Calculate q.
-6, -1
Let o(f) be the first derivative of -529*f**3/6 - 23*f**2 - 2*f - 39. Factor o(k).
-(23*k + 2)**2/2
Factor 2*w**3 + 1/2*w**4 + 32 - 16*w - 6*w**2.
(w - 2)**2*(w + 4)**2/2
Let b(l) be the third derivative of l**6/300 - l**5/25 - 8*l**4/5 - 224*l**3/15 + 502*l**2. Suppose b(y) = 0. What is y?
-4, 14
Solve 72/5*x**3 - 4/5*x**4 + 0 + 76/5*x**2 + 0*x = 0 for x.
-1, 0, 19
Solve 95/4*n + 175/4 + 17/4*n**2 + 1/4*n**3 = 0.
-7, -5
Factor -1/2*b**2 - 7/2*b + 4.
-(b - 1)*(b + 8)/2
Let z(w) = 42*w**2 - 59*w + 35. Let f(x) = x**3 + x**2 + x + 3. Let u(j) = -5*f(j) + z(j). Suppose u(t) = 0. Calculate t.
2/5, 2, 5
Let z(j) be the second derivative of j**7/189 + j**6/135 - j**5/45 - j + 3. Factor z(d).
2*d**3*(d - 1)*(d + 2)/9
Let d(h) = -h**2 + 4*h + 4. Let l be 0 - (-2 + -3 + 1). Let v be d(l). Factor 12 - 14*p**v - 4*p**3 - 12.
-2*p**3*(7*p + 2)
Find d, given that -64*d - 114*d - 126*d**2 - 39*d - 3*d**3 + 94*d = 0.
-41, -1, 0
Let k(g) be the second derivative of g**5/170 - 7*g**4/102 - g**3/51 + 7*g**2/17 - 57*g + 2. Suppose k(d) = 0. Calculate d.
-1, 1, 7
Let b(o) = 2*o**2 + 20*o + 3. Let l be b(-10). Let i(n) be the second derivative of 0 - 2*n**2 - l*n - 1/6*n**4 + n**3. Factor i(a).
-2*(a - 2)*(a - 1)
Let x be (3/(-40))/(1/(-8)). Determine f so that -x - 1/5*f**2 - 4/5*