 - g**4 = 0. What is g?
-1, 1
Let f(p) be the second derivative of -p**4/72 + 35*p**3/36 - 11*p**2/2 - 4*p - 36. Let f(k) = 0. Calculate k.
2, 33
Let c(h) be the first derivative of h**7/1050 - h**6/100 + h**5/25 - h**4/15 + 13*h**2/2 + 6. Let z(y) be the second derivative of c(y). Factor z(l).
l*(l - 2)**3/5
Let y = -74 + 80. Let g(a) be the second derivative of 1/20*a**5 + 0*a**2 + 0 - 1/15*a**y - 1/6*a**3 + 1/6*a**4 - a. Find p, given that g(p) = 0.
-1, 0, 1/2, 1
Suppose -175 + 15 = 20*n. Let y be 1/(-6)*24/n. What is z in 0 + z**2 - 1/2*z**5 + 0*z**3 - z**4 + y*z = 0?
-1, 0, 1
Suppose -9*x + 11*x - s = -3, 4*x + s = 3. Let h(a) be the second derivative of 0*a**3 + 1/9*a**4 - 1/45*a**6 - 1/30*a**5 + x + 0*a**2 + a. Factor h(y).
-2*y**2*(y - 1)*(y + 2)/3
Solve -4*v**3 - 9 + 2*v**4 + 11*v + 10*v - 9*v + 2*v**2 + 2*v**4 - 5*v**4 = 0 for v.
-3, 1
Let d(n) be the second derivative of n**5/10 + 5*n**4/2 + 14*n**3/3 + 290*n. Solve d(v) = 0.
-14, -1, 0
Let g be (9 + (-34)/4)/((-7)/2). Let x = g - -1. Factor -3/7*z - 3/7*z**5 + 6/7*z**3 + x*z**2 - 3/7 - 3/7*z**4.
-3*(z - 1)**2*(z + 1)**3/7
Let j(r) be the first derivative of 20*r**3 + 154*r**2 + 40*r - 574. Factor j(b).
4*(b + 5)*(15*b + 2)
Let z(k) be the first derivative of 0*k - 3/2*k**2 + 1/270*k**5 + 8 + 0*k**3 + 1/108*k**4. Let u(a) be the second derivative of z(a). Factor u(r).
2*r*(r + 1)/9
Suppose -4*r - 5*z + 3 = 0, -5*r = -5*z + 2 - 17. Let m(p) be the first derivative of -9/10*p**2 - r + 2/5*p + 7/15*p**3. Find k, given that m(k) = 0.
2/7, 1
Let c(n) = 6*n**4 - 2*n**3 - 9*n**2 - 4*n + 3. Let u(s) = -12*s**4 + 3*s**3 + 17*s**2 + 7*s - 5. Let r(g) = -5*c(g) - 3*u(g). Determine p so that r(p) = 0.
-1, -1/6, 0, 1
Let b be -1 + (-545)/(-763) + 6/63*3. Suppose -5*o + 2*k = 7*k, -20 = -5*o + 5*k. Determine s so that -8/5*s**o - 4/5*s**3 + b + 4/5*s**4 + 0*s = 0.
-1, 0, 2
Let y = 260 - 156. Factor -81*b - 24*b**2 - y + 24*b**3 + 6*b**2 - 39*b - 3*b**4 + 29.
-3*(b - 5)**2*(b + 1)**2
Let r = -1355/22 - -89/11. Let z = r + 58. Factor -z*v**2 + 1 + 1/2*v - 13/2*v**3 - 5/2*v**4.
-(v + 1)**3*(5*v - 2)/2
Let t(h) be the second derivative of -2*h**6/15 + 192*h**5/5 - 4608*h**4 + 294912*h**3 - 10616832*h**2 - 4*h + 9. Factor t(q).
-4*(q - 48)**4
Let b = -832/75 + 233/21. Let s(i) be the third derivative of 0 + 0*i - 1/300*i**6 + 0*i**5 + 0*i**3 - 3*i**2 + 0*i**4 + b*i**7. Factor s(x).
2*x**3*(x - 1)/5
Let n = 242/5 - 2903/60. Let m(l) be the second derivative of -1/15*l**3 - 3*l - n*l**4 + 0 + 0*l**2 + 1/150*l**6 + 1/50*l**5. Solve m(b) = 0.
-2, -1, 0, 1
Let p(i) be the third derivative of -i**6/30 + 11*i**5/15 + 28*i**4/3 + 40*i**3 + 2*i**2 + 30*i. Factor p(c).
-4*(c - 15)*(c + 2)**2
Let n(q) be the second derivative of 11*q**6/3 + 49*q**5/10 + 32*q**4/15 + 4*q**3/15 - 368*q. Factor n(p).
2*p*(5*p + 2)**2*(11*p + 1)/5
Let h(t) be the third derivative of 0 + 0*t**4 - 1/240*t**6 - 29*t**2 + 1/70*t**7 + 0*t + 0*t**3 + 1/672*t**8 - 1/20*t**5. Let h(j) = 0. Calculate j.
-6, -1, 0, 1
Determine f so that 0 + 4/3*f**2 - 4/3*f**4 - 2/9*f**5 + 2*f - 16/9*f**3 = 0.
-3, -1, 0, 1
Let v(s) be the third derivative of -s**7/4620 + s**6/660 + 23*s**3/6 + 5*s**2. Let t(g) be the first derivative of v(g). Determine r so that t(r) = 0.
0, 3
Factor -1/3*p**2 + 508/3*p - 64516/3.
-(p - 254)**2/3
Let s = -98/3 - -33. Let r = -34 - -104/3. Factor -s*g**2 - g - r.
-(g + 1)*(g + 2)/3
Let f(p) be the first derivative of 125*p**4/4 - 1775*p**3/3 - 740*p**2 - 300*p - 21. Factor f(w).
5*(w - 15)*(5*w + 2)**2
Let f = 112 + -1231/11. Let g = f - -85/33. Factor 40/3*w + g + 6*w**2.
2*(w + 2)*(9*w + 2)/3
Let w(p) be the second derivative of 25*p**7/189 + 2*p**6/9 + p**5/10 + 25*p + 1. Solve w(f) = 0 for f.
-3/5, 0
Suppose 20*c**4 - 60 - 74*c**3 - 80 + 140 - 72*c + 120*c**2 - 2*c**5 = 0. What is c?
0, 2, 3
Let x(b) be the second derivative of b**7/14 - 11*b**6/10 + 63*b**5/10 - 27*b**4/2 - 27*b**3/2 + 243*b**2/2 - 22*b + 1. Let x(u) = 0. What is u?
-1, 3
Let f(k) be the first derivative of 4*k**6 - 258*k**5/5 + 951*k**4/4 - 458*k**3 + 336*k**2 - 96*k + 301. Find z such that f(z) = 0.
1/4, 1/2, 2, 4
Let o(z) be the third derivative of -4*z**2 - 1/150*z**5 - 1/30*z**4 + 0*z**3 + 0 + 0*z. Suppose o(f) = 0. What is f?
-2, 0
Let b be (6/27)/(66/1188). Suppose 0*x + 3/2*x**2 + 0 - 3/2*x**3 - 3/2*x**b + 3/2*x**5 = 0. Calculate x.
-1, 0, 1
Let f(i) be the third derivative of i**7/105 - i**6/10 - 7*i**5/30 - 11*i**2. Factor f(s).
2*s**2*(s - 7)*(s + 1)
Suppose -165 = -39*i + 36*i. Let w be (i/(-330))/(1/(-12)). Factor -3/4*p**w - p - 1/4.
-(p + 1)*(3*p + 1)/4
Let o(n) be the third derivative of -n**6/360 - n**5/6 - 8*n**4/3 + 256*n**3/9 - 15*n**2 + 6*n. Find b such that o(b) = 0.
-16, 2
Let m(p) be the first derivative of 27*p**5/80 + 9*p**4/16 + 3*p**3/8 + p**2/8 - 5*p + 8. Let b(q) be the first derivative of m(q). Factor b(w).
(3*w + 1)**3/4
Let a = -57 + 237. Factor -5*b**2 - a - 20*b - 28*b - 12*b.
-5*(b + 6)**2
Factor -1/8*c**5 + 0*c**3 - 3/8*c**4 + 0*c**2 + 0*c + 0.
-c**4*(c + 3)/8
Let x(n) = n**4 - 5*n**3 + 4*n**2 - 4*n - 8. Let l(a) = -a**4 + 11*a**3 - 7*a**2 + 7*a + 14. Let s(v) = 4*l(v) + 7*x(v). Factor s(f).
3*f**3*(f + 3)
Let l = 5401/12 - 450. Let v(y) be the third derivative of -1/3*y**3 + 1/80*y**6 + 1/24*y**5 + 0*y + 0 - l*y**4 - 2*y**2. Let v(x) = 0. What is x?
-2, -2/3, 1
Let f(o) be the first derivative of -20 - 5*o**3 + 0*o + 3/4*o**4 + 0*o**2. Let f(v) = 0. Calculate v.
0, 5
Let a(h) be the third derivative of 2*h**2 + 1/660*h**6 - 1/330*h**5 + 0*h**3 + 0 - 1/66*h**4 + 0*h. Find k, given that a(k) = 0.
-1, 0, 2
Let u(y) be the third derivative of 16*y**2 + 2 + 0*y - 1/40*y**5 + 0*y**3 + 1/8*y**4. Factor u(m).
-3*m*(m - 2)/2
Let z(m) be the first derivative of 2*m**5/65 + 27*m**4/26 - 176*m**3/39 + 60*m**2/13 + 444. Determine w so that z(w) = 0.
-30, 0, 1, 2
Let a(j) be the first derivative of -j**3/12 - 99*j**2/4 + 199*j/4 - 270. Factor a(c).
-(c - 1)*(c + 199)/4
Let g be -1 + 1 + 1*3. Suppose -7 - g = -5*h. Factor 43*f**3 - 39*f**3 + 1 + 2*f**4 + 2*f**h - 1.
2*f**2*(f + 1)**2
Let k = 1804 + -5411/3. Factor -4/3*w + k*w**4 + 0*w**2 + w**3 + 0.
w*(w - 1)*(w + 2)**2/3
Let m(u) = u**2. Suppose -o + 9 = 5*j, 4*o - 3*j - 4 = -7*j. Let a(y) = -20*y**2 + 15*y + 10. Let b(l) = o*a(l) - 25*m(l). Factor b(v).
-5*(v + 1)*(v + 2)
Suppose -15*r = 76 + 29. Let j(s) = 21*s**5 + 9*s**4 - 5*s**3 - 7*s. Let b(n) = -14*n**5 - 6*n**4 + 3*n**3 + 5*n. Let i(y) = r*b(y) - 5*j(y). Factor i(q).
-q**3*(q + 1)*(7*q - 4)
Solve 0*d**3 + 0*d + 0 - 1/2*d**2 + 1/2*d**4 = 0 for d.
-1, 0, 1
Let f(q) = -2*q**2 - 42*q - 200. Let b(r) = r. Let p(o) = -2*b(o) - f(o). Factor p(l).
2*(l + 10)**2
Let m(o) = -35*o**3 - 13290*o**2 - 2957010*o - 218820990. Let s(b) = 9*b**3 + 3322*b**2 + 739252*b + 54705248. Let h(x) = -4*m(x) - 15*s(x). Factor h(l).
5*(l + 222)**3
Let r(y) = -2*y**2 + 1. Let n(m) = 7*m**2 - 35*m - 36. Let i(q) = -n(q) - 6*r(q). Factor i(x).
5*(x + 1)*(x + 6)
Suppose 0 = -o + 38 - 10. Let x be (35/o)/((-1)/(-4)). Factor -6*m + 4 + 15*m**5 + 4*m**4 - 20*m**4 - 16*m**2 - 20*m**4 - x*m**5 + 44*m**3.
2*(m - 1)**4*(5*m + 2)
Let p(v) be the third derivative of v**7/1785 + v**6/204 - 7*v**5/510 - 41*v**4/204 - 10*v**3/17 + 107*v**2. Find m such that p(m) = 0.
-5, -2, -1, 3
Let d = -13216/5 - -2644. What is a in -2/5*a + d - 2/5*a**2 = 0?
-2, 1
Let b(s) be the second derivative of 1/60*s**5 + 7/36*s**4 - 1/126*s**7 + 6*s - 2/3*s**2 + 0 - 1/30*s**6 + 0*s**3. Solve b(o) = 0 for o.
-2, -1, 1
Let s(n) be the first derivative of -5*n**5/4 + 5*n**4/16 + 4*n**3/3 + n**2/2 + 145. Let s(d) = 0. Calculate d.
-2/5, 0, 1
Let q(l) be the third derivative of 0 + 1/630*l**7 - 1/1008*l**8 + 0*l**4 + 0*l + 1/360*l**6 + 12*l**2 + 0*l**3 - 1/180*l**5. Factor q(s).
-s**2*(s - 1)**2*(s + 1)/3
Let z(g) be the second derivative of 0 - 12*g + 3/2*g**2 - 3/4*g**3 + 1/8*g**4. Solve z(m) = 0.
1, 2
Let x = -40 - -50. Find g, given that 4 - x*g**2 + 0*g - 125*g**3 - 2*g + 121*g**3 = 0.
-2, -1, 1/2
Let q(t) be the third derivative of t**7/2520 - t**6/240 - t**5/30 - 3*t**4/4 + 10*t**2. Let w(b) be the second derivative of q(b). Factor w(n).
(n - 4)*(n + 1)
Factor -550/3*x - 5/3*x**2 - 545/3.
-5*(x + 1)*(x + 109)/3
Let j be 6*1/(-2) + 11. Let g = j + -6. Factor -4*o**4 - o**2 - 2*o**g 