5/60 - h**4/36 - 20*h - 3. Factor q(r).
-r**2*(r + 1)/3
Let k(s) = -s**3 - s**2 + 2*s + 3. Let c be k(-2). Let y be c + ((-1)/2)/(-1). Factor y*r + 3/2*r**2 + 1.
(r + 2)*(3*r + 1)/2
Let c(o) be the first derivative of o**4/4 - 3*o**3/2 + 3*o**2 - o - 11. Let b(h) be the first derivative of c(h). Find g such that b(g) = 0.
1, 2
Let l(f) be the second derivative of f**7/6720 + f**6/480 - 19*f**3/3 + 37*f. Let r(i) be the second derivative of l(i). Factor r(g).
g**2*(g + 6)/8
Let -2/9 + 0*b**2 - 4/9*b**3 + 2/9*b**4 + 4/9*b = 0. Calculate b.
-1, 1
Let c be (-1)/(-2) - (-82)/(-4). Let b = 144/7 + c. What is p in b*p - 2/7 - 2/7*p**2 = 0?
1
Let k(r) = 376*r - 3008. Let d be k(8). Factor d - 33/5*o**3 + 3/5*o**2 + 0*o.
-3*o**2*(11*o - 1)/5
Let w(u) be the first derivative of -u**8/336 + u**6/30 + u**5/30 - u**4/8 - u**3/3 + 26*u**2 + 43. Let t(l) be the second derivative of w(l). Solve t(d) = 0.
-1, 1, 2
Let b = 121/6 + -119/6. Factor g + b*g**2 + 2/3.
(g + 1)*(g + 2)/3
Let w(t) be the first derivative of -4 + 4*t + 0*t**2 - 1/66*t**4 + 0*t**3 + 1/110*t**5. Let k(a) be the first derivative of w(a). Find z, given that k(z) = 0.
0, 1
Let d(b) be the first derivative of -b**4/20 - 6*b**3/5 + 230. Solve d(g) = 0 for g.
-18, 0
Let c = 491/7 - 70. Let b(m) be the first derivative of 0*m + 2/21*m**3 - c*m**2 + 4. Find a such that b(a) = 0.
0, 1
Let -4*h**2 - 4*h**3 + 2*h**4 + 16*h - 17*h**2 + 13*h**2 = 0. Calculate h.
-2, 0, 2
Suppose 0 = 4*x - 8, 0*r - 83 = -3*r - 4*x. Factor 18*k**3 + 13*k**3 - k**3 - r*k + 15*k**2 + 15*k**3 + 5.
5*(k + 1)*(3*k - 1)**2
Suppose -13*x + 9*x + 1100 = 0. Let o = x - 273. Factor 20*d**4 + 56/3*d**3 + 16/3*d**o + 0 + 0*d + 6*d**5.
2*d**2*(d + 2)*(3*d + 2)**2/3
Let s(v) be the first derivative of -v**3/12 - 9*v**2/8 + 5*v/2 + 245. Factor s(u).
-(u - 1)*(u + 10)/4
Factor 27/2*s**2 + 3/4*s**3 - 30*s + 0.
3*s*(s - 2)*(s + 20)/4
Suppose 29*v = 56*v - 54. Determine t so that -4/3*t**v + 2/3 + 1/3*t - t**3 = 0.
-1, 2/3
Suppose 3 = -3*t + 4*t. Let q be (-1)/t - (-187)/255. Suppose 8/5 - 8/5*f + q*f**2 = 0. What is f?
2
Suppose u - 3 = a, -u + 6 = u + 4*a. Suppose 8 = u*h - 4*l, -3*l - 5 = 5*h - 28. Solve 3*r**3 + 0*r**3 + 30*r**h - 27*r**4 = 0.
-1, 0
Suppose 0 = 5*o - 3*b + 6 - 1, 5*o + 5*b - 35 = 0. Let n = 2 + o. Let 3*c**n - 5*c**2 - 2*c**3 + 2*c**5 - c**4 + 3*c**2 = 0. Calculate c.
-1, 0, 1
Find m, given that -2*m**2 + 11/7*m - 4/7*m**3 + 16/7*m**4 - m**5 - 2/7 = 0.
-1, 2/7, 1
Solve 247*f**2 - 3*f**3 - 13*f**2 + 4*f**3 + 5*f**3 - 92*f - 16*f**3 = 0 for f.
0, 2/5, 23
Let x(n) be the second derivative of -8/9*n**2 + 7*n + 0 + 7/27*n**4 - 2/45*n**6 + 2/189*n**7 - 1/45*n**5 + 0*n**3. Find h such that x(h) = 0.
-1, 1, 2
Let f be (-3 + 6 + 11/(-2))*-2. Let x(g) be the second derivative of -2/3*g**2 + 0 + 1/30*g**5 + 1/12*g**4 - 1/90*g**6 - 2/9*g**3 + f*g. What is c in x(c) = 0?
-1, 2
Let d(w) = w**2 + 11*w - 9. Let u be d(-12). Factor -1 + 21 + 81*n + 1445*n**u + 851*n**2 + 279*n + 934*n**2.
5*(n + 1)*(17*n + 2)**2
Let p(i) = 4*i**4 + 4*i**3 - 9*i**2 - i + 11. Let n(k) = 0 + 3*k**4 - k**3 - k - 1 + 0*k - 4*k**4 + k**2. Let s(d) = -15*n(d) - 5*p(d). Factor s(h).
-5*(h - 2)*(h - 1)*(h + 2)**2
Let f(z) be the second derivative of -z**7/630 + 2*z**5/15 + 7*z**4/6 - 29*z. Let l(y) be the third derivative of f(y). Solve l(s) = 0 for s.
-2, 2
Let n(p) be the second derivative of -1/84*p**4 - 18*p - 25/14*p**2 + 0 - 5/21*p**3. Factor n(s).
-(s + 5)**2/7
Solve -18*m - 18*m + 5*m**3 - 73*m - 15*m**2 + 210 + 90 - 31*m = 0.
-5, 2, 6
Suppose 534/7*g**3 + 145800/7*g + 6/7*g**4 - 162000/7 + 15660/7*g**2 = 0. Calculate g.
-30, 1
Let o(v) be the third derivative of -v**7/105 + 17*v**6/60 - 31*v**5/30 + 5*v**4/4 + 256*v**2 - v. Let o(c) = 0. Calculate c.
0, 1, 15
Suppose 4*p - 28 = 44. Factor 12*x**4 + p*x**4 - 81*x + 3*x**5 - 27*x**3 - 42*x**4 + 108*x**2 + 9*x**3.
3*x*(x - 3)**2*(x - 1)*(x + 3)
Determine j so that -4/5*j**3 + 4/5*j**4 + 0 - 8*j**2 - 32/5*j = 0.
-2, -1, 0, 4
Let y(s) be the third derivative of -s**5/150 - 79*s**4/60 - 26*s**3/5 + 361*s**2. Let y(q) = 0. Calculate q.
-78, -1
Factor 5*b**5 - 7*b**3 + 6*b**4 - 38*b**3 + 18*b**2 - 2*b**5 - 6*b**2 + 60*b.
3*b*(b - 2)**2*(b + 1)*(b + 5)
Let q(z) be the third derivative of -7*z**6/24 + 37*z**5/12 + 20*z**4/3 - 10*z**3 - 45*z**2. Solve q(d) = 0.
-1, 2/7, 6
Let j(b) = b + 1. Let g = 27 - 40. Let k be 44/(-52) - (-2)/g. Let z(p) = 3*p**2 + 13*p + 10. Let m(s) = k*z(s) + 4*j(s). Factor m(c).
-3*(c + 1)*(c + 2)
Let r(p) = 74*p - 22. Let u be r(3). Let x = u + -2198/11. Determine f, given that 4/11 + x*f - 6/11*f**2 = 0.
-2/3, 1
Let w(h) be the second derivative of h**6/150 + 163*h**5/25 + 26569*h**4/10 + 8661494*h**3/15 + 705911761*h**2/10 - 2*h - 363. Factor w(i).
(i + 163)**4/5
Let w(s) be the second derivative of -s**4/84 - 13*s**3/42 - 11*s**2/7 - 2*s + 4. Suppose w(y) = 0. What is y?
-11, -2
Let c = 231 + -351. Let t be (14/24)/(-9*5/c). Let -2*i**2 + 10/9*i**3 - 2/9*i**4 + t*i - 4/9 = 0. What is i?
1, 2
Let i = -13380 - -13382. Factor -5/3*d**3 + 0 - 5*d - 5/3*d**4 + 25/3*d**i.
-5*d*(d - 1)**2*(d + 3)/3
Let c = 12 - 63. Let x be ((-4)/6)/(17/c). Factor -3*t**5 - 15*t**2 + t**5 - 2*t**4 + 17*t**2 + x*t**3.
-2*t**2*(t - 1)*(t + 1)**2
Let d = 8765/3 + -2921. Let -7/6*o**2 + 1/3*o + d*o**4 - 5/6*o**3 + 0 = 0. Calculate o.
-1, 0, 1/4, 2
Let a(v) be the second derivative of 0 - 1/9*v**4 + 1/10*v**6 + 0*v**2 + 0*v**3 - 1/5*v**5 + 1/18*v**7 - 3*v. Suppose a(n) = 0. What is n?
-2, -2/7, 0, 1
Let c(q) be the first derivative of 441/4*q**2 + 3/8*q**4 - 7 + 21/2*q**3 + 1029/2*q. Factor c(v).
3*(v + 7)**3/2
Let g(h) be the first derivative of h**3/5 - 69*h**2/2 + 342*h/5 + 553. Factor g(r).
3*(r - 114)*(r - 1)/5
Let t = -149/18 + 64/9. Let q = t + 3/2. Factor 1/3*k - q*k**2 + 0.
-k*(k - 1)/3
Let q = -28 - -26. Let j be ((-1)/q)/(5 + (-245)/50). Find k, given that -3*k**4 - 6*k**2 - 1/2*k**j - 2*k + 0 - 13/2*k**3 = 0.
-2, -1, 0
Let f(x) be the second derivative of -x**5/50 + 3*x**4/5 - 11*x**3/5 + 16*x**2/5 - 3*x - 20. Solve f(q) = 0.
1, 16
Suppose -12 = -3*o + 5*t, 20 = -69*o + 74*o - t. Let c(j) be the second derivative of -8*j + 1/6*j**3 + 1/4*j**o + 0*j**2 + 0. Factor c(k).
k*(3*k + 1)
Let o(p) be the third derivative of -p**5/20 + 133*p**4/4 - 17689*p**3/2 + 410*p**2. Factor o(s).
-3*(s - 133)**2
Let m(o) be the first derivative of 1/9*o**3 + 7/6*o**2 + 2*o - 28. Suppose m(v) = 0. Calculate v.
-6, -1
Let n be (3 + -4)*(-10)/75. Let v(f) be the third derivative of 0 - 2/3*f**3 + 0*f + 4*f**2 + n*f**5 + 7/12*f**4. Determine q, given that v(q) = 0.
-2, 1/4
Let z(c) be the second derivative of 5*c**9/3024 + c**8/168 + c**7/168 + c**3/3 - 7*c. Let q(k) be the second derivative of z(k). Factor q(n).
5*n**3*(n + 1)**2
Let i(o) be the first derivative of -o**5/20 + o**4/16 + 160. Suppose i(g) = 0. What is g?
0, 1
Let i be (-1 - 10/(-16))/((-215)/1720). Let q(k) be the second derivative of 1/50*k**5 - 1/45*k**4 - 1/225*k**6 + 0 + 0*k**i + 0*k**2 + 7*k. Solve q(l) = 0.
0, 1, 2
Let b(h) = h**3 - 6*h**2 + 3*h + 8. Let y be b(5). Let j(x) = x**2 - x - 4. Let p be j(y). Let -8/9 + 8/9*g - 2/9*g**p = 0. What is g?
2
Let u(c) be the second derivative of c**6/1440 + c**5/240 + 2*c**3/3 - 7*c. Let p(i) be the second derivative of u(i). Factor p(f).
f*(f + 2)/4
Let i = -2 - -5. Factor 6*b + 5*b**3 - 3*b**i - 4*b + 5*b**2.
b*(b + 2)*(2*b + 1)
Let b(t) be the third derivative of t**5/20 + 29*t**4/2 + 115*t**3/2 + 692*t**2. Factor b(o).
3*(o + 1)*(o + 115)
Let o(n) be the first derivative of -n**6/450 + n**5/75 - n**4/30 + 32*n**3/3 + 9. Let r(i) be the third derivative of o(i). Let r(u) = 0. What is u?
1
Let b be (-5 - 112/(-20)) + (-3214)/(-10). Factor -3*a**2 - 6*a - b*a**3 + 3*a**4 + 328*a**3 + 0*a.
3*a*(a - 1)*(a + 1)*(a + 2)
Let p(s) be the second derivative of 0 - 13/15*s**5 + 2/45*s**6 + 20/3*s**4 + 128/3*s**2 - 224/9*s**3 + 27*s. Factor p(n).
4*(n - 4)**3*(n - 1)/3
Let m(r) = 2*r**3 + 18*r**2 - 6*r - 134. Suppose 2 = 5*c - 3. Let x(g) = -g**3 + g**2 + g + 1. Let l(q) = c*m(q) + 6*x(q). Find i such that l(i) = 0.
-2, 4
Let q(t) be the first derivative of 6 + 5/3*t**3 - 5/2*t**2 + 0*t. Factor q(h).
5*h*(h - 1)
Suppose -d + 16 + 2 = 3*g, 4*d = -5*g + 37. Let j be (-600)/(-135)*d/2. Factor -j*h**3 - 5*h + 2/3 + 11*