(r) = b*w(r) + 4*d(r). Factor o(i).
(i + 1)*(i + 4)
Let z be (40/(-4))/((1 + -2)/(-1)). Let l be (-44)/(-20) + 1*2/z. Factor 1/4*x - 1/4*x**3 + 1/4 - 1/4*x**l.
-(x - 1)*(x + 1)**2/4
Let r(n) = n**2 + n - 2. Let u be r(2). Factor -t**3 + 201*t**2 - 211*t**2 + 5*t**4 - u*t**3.
5*t**2*(t - 2)*(t + 1)
Let l(r) be the first derivative of r**7/1050 - 7*r**6/600 + r**5/50 + 17*r**2/2 + 5. Let k(y) be the second derivative of l(y). Suppose k(g) = 0. Calculate g.
0, 1, 6
Suppose 5*u - 3*i = -5*i + 24, 0 = u - 3*i + 2. Suppose 0 = 2*n - 0*n + 6, 4*j + u*n = 0. Factor 6*f**3 + 9*f**j + 2*f**2 - 13*f**3.
2*f**2*(f + 1)
Let a be (-594)/(-12) - (-4)/1. Let b = a + -53. Factor -3*s - b*s**2 - 9/2.
-(s + 3)**2/2
Let -5/4*n**3 + 0 - 55/2*n - 115/4*n**2 = 0. Calculate n.
-22, -1, 0
Let m be (-1054)/30039 + 173/57. Factor 0*i**2 - 3/2*i**5 - 1/3*i**m + 0 + 0*i + 11/6*i**4.
-i**3*(i - 1)*(9*i - 2)/6
Let z be (-43 - -49) + 46/(-10). Let w = -1 + z. Suppose w*p**3 - 2*p**2 + 6/5*p + 18/5 = 0. Calculate p.
-1, 3
Factor 0*x - 2/7*x**4 + 8/7*x**2 + 4/7*x**3 + 0 - 1/7*x**5.
-x**2*(x - 2)*(x + 2)**2/7
Suppose -10 + 3 = -j. Suppose 5*p = -3*o + 9, -3*o - j = -1. What is g in 8*g + g**2 - p*g**2 - 2*g**2 - 1 - 3*g = 0?
1/4, 1
Let y = 37173/4 + -9293. Determine h, given that 1/4*h + 1/4*h**4 - y*h**2 + 0 - 1/4*h**3 = 0.
-1, 0, 1
Suppose 47/2*t - 1/4*t**2 - 2209/4 = 0. What is t?
47
Let o(l) be the third derivative of 3*l**6/80 - 7*l**5/40 - 3*l**4/8 - 44*l**2. Factor o(i).
3*i*(i - 3)*(3*i + 2)/2
Factor 1/2*c**2 - 87*c + 0.
c*(c - 174)/2
Factor 2/7*p**2 - 12/7*p + 0.
2*p*(p - 6)/7
Let w(q) = -q**3 - 3*q**2 - 3*q - 4. Let y be w(-3). Factor 2*k**2 - 4*k**4 + 97*k**y - 96*k**5 - k + 2*k**4.
k*(k - 1)**3*(k + 1)
Let -14/3*t - 16/3*t**2 + 0 - 2/3*t**3 = 0. What is t?
-7, -1, 0
Determine n so that -10/7*n + 8/7*n**5 + 2*n**2 + 2/7*n**3 + 2/7 - 16/7*n**4 = 0.
-1, 1/2, 1
Let v(g) be the second derivative of -1/8*g**3 - 1/120*g**6 - 7/48*g**4 - 12*g + 0 + 0*g**2 - 1/16*g**5. Find c such that v(c) = 0.
-3, -1, 0
Let v(f) be the first derivative of -3 - 1/8*f**4 - 3/4*f**2 - 1/2*f**3 - 1/2*f. Let v(b) = 0. Calculate b.
-1
Find m such that 160 - 35*m**3 + 380*m - 70*m**2 + 69*m - 103*m**2 - 47*m**2 + 51*m = 0.
-8, -2/7, 2
Let i = 19 + -15. Factor i*u + 0*u**3 + 0*u**3 + 30*u**2 + 5*u**3 + 41*u + 20.
5*(u + 1)**2*(u + 4)
Let y(z) = 4*z - 46. Let n be y(12). Factor -5 - 4*m**n + 11 + 2*m**2 + 4 + 8*m.
-2*(m - 5)*(m + 1)
Let t(y) = y**2 - 60*y - 124. Let i be t(-2). Factor -4/9*d + 1/9*d**5 - 4/9*d**2 + 4/9*d**4 + i + 1/3*d**3.
d*(d - 1)*(d + 1)*(d + 2)**2/9
Let a(i) be the first derivative of i**3/15 + 3*i**2/10 + 182. Find l, given that a(l) = 0.
-3, 0
Let b = -927 + 6523/7. Suppose r = -r + 4. Factor b*m - 8/7*m**r - 8/7.
-2*(m - 4)*(4*m - 1)/7
Let s(q) be the first derivative of -q**6/6 + 4*q**5/5 - 5*q**4/4 + 2*q**3/3 + 64. Factor s(o).
-o**2*(o - 2)*(o - 1)**2
Let m(r) = -5*r**3 + 21*r**2 - 4*r + 6. Let u(q) be the third derivative of q**5/60 + q**4/24 + q**3/6 - 10*q**2. Let n(l) = -m(l) + 6*u(l). Factor n(s).
5*s*(s - 2)*(s - 1)
Let h(q) be the first derivative of -7/2*q**2 + 3*q + 5/3*q**3 - 1/4*q**4 - 29. Let h(o) = 0. Calculate o.
1, 3
Let z(g) = -13*g**3 - 5*g**2 + 7*g. Let x(c) = -7*c**3 - 2*c**2 + 3*c. Suppose 0 = -5*f + 9 + 6. Let m(o) = f*z(o) - 5*x(o). Factor m(p).
-p*(p + 2)*(4*p - 3)
Let u(h) = -h**3 - 27*h**2 + 17*h - 9. Let m(w) = 5*w**2. Let k(n) = -20*m(n) - 5*u(n). Solve k(o) = 0 for o.
-9, 1
Let j be (-4 + 5 - 139)/2. Let n be 46/j + (0 - 8/(-3)). Determine l so that 0 + 1/3*l - 1/2*l**n - 1/6*l**3 - 1/6*l**5 + 1/2*l**4 = 0.
-1, 0, 1, 2
Let l be (-2)/(-95)*70/(-8). Let b = 567/190 + l. Factor 0 + 6/5*h**2 + 24/5*h**3 - 4/5*h + b*h**4.
2*h*(h + 1)**2*(7*h - 2)/5
Let v(r) be the third derivative of 11*r**5/90 + 13*r**4/18 + 8*r**3/9 - 4*r**2 + 3. Factor v(h).
2*(h + 2)*(11*h + 4)/3
Let f(h) be the third derivative of -h**7/42 + h**6/6 + 7*h**5/12 - 25*h**4/12 - 168*h**2 - 1. Factor f(s).
-5*s*(s - 5)*(s - 1)*(s + 2)
Let m(d) = -d**3 - 2*d**2 + d + 1. Let n(g) = -2*g**3 + 5*g**2 - 13*g + 5. Let v(p) = -5*m(p) + n(p). Factor v(w).
3*w*(w - 1)*(w + 6)
Factor -1 - 1300*f + 1 - 20 - 21125*f**2.
-5*(65*f + 2)**2
Let y = 208 - 190. Let p be (3/8*2)/(9/y). Factor 3*m**3 + 0 - 3/2*m**4 - p*m**2 + 0*m.
-3*m**2*(m - 1)**2/2
Suppose 205*p = 170*p. Factor -3/2*y**3 + 3/4*y**5 - 3/4*y**4 + p + 0*y**2 + 0*y.
3*y**3*(y - 2)*(y + 1)/4
Let b(g) be the third derivative of -27*g**2 - 1/210*g**5 - 1/42*g**4 - 1/21*g**3 + 0 + 0*g. Factor b(j).
-2*(j + 1)**2/7
Factor 0 - 3*g**3 + 0*g**2 - 2*g**4 - 1/3*g**5 + 0*g.
-g**3*(g + 3)**2/3
Let l be 4/(-14) + 8/28. Let v(n) = n**3 + n**2 + n. Let c be v(l). Factor c - 1/4*s - 4*s**3 - 2*s**2.
-s*(4*s + 1)**2/4
Let r = 2390 + -2390. Let a(q) be the second derivative of 4*q + 1/70*q**5 - 4/21*q**3 + r*q**4 + 0*q**2 + 0. Determine j so that a(j) = 0.
-2, 0, 2
Let h = 124 - 119. Suppose 5*j**h + 16*j**3 + 9*j**2 + 39*j**3 + 30*j**4 + 13*j**2 + 8*j**2 = 0. Calculate j.
-3, -2, -1, 0
Let w(p) be the second derivative of p**6/12 + 5*p**5/8 - 5*p**4/3 - 5*p**3 + 5*p + 25. Find s such that w(s) = 0.
-6, -1, 0, 2
Let k(s) be the second derivative of 23*s**4/84 + 13*s**3/21 + 3*s**2/14 + 3*s - 71. Solve k(f) = 0 for f.
-1, -3/23
What is c in -3*c - 53*c**2 - 3 + 25*c**2 + 31*c**2 + 3 = 0?
0, 1
Let m(c) be the third derivative of 0 + 0*c**3 + 0*c**6 - 1/175*c**7 - 1/560*c**8 + 1/40*c**4 + 0*c + 6*c**2 + 1/50*c**5. Solve m(j) = 0.
-1, 0, 1
Suppose -59*l + 53*l = 0. Let t(y) be the third derivative of 1/480*y**6 + 0*y**4 + 0*y**3 + 0 + 3*y**2 + l*y - 1/240*y**5. Factor t(w).
w**2*(w - 1)/4
Let w(m) = -m**3 + 62*m**2 + 134*m - 382. Let k be w(64). Factor 1/2 - 5/4*a - 7/4*a**k.
-(a + 1)*(7*a - 2)/4
Let w be 3720/1785 - (-9)/153. Determine v, given that w - 12/7*v - 3/7*v**2 = 0.
-5, 1
Let n(h) be the first derivative of -49*h**6/225 + 2*h**4/45 - 2*h - 13. Let p(b) be the first derivative of n(b). What is k in p(k) = 0?
-2/7, 0, 2/7
Let d(t) be the second derivative of -t**4/60 + 4*t**3/5 - 72*t**2/5 + 2*t - 6. Find j, given that d(j) = 0.
12
Let w = -908 - -913. Let z(x) be the second derivative of -4/21*x**3 + 0 - 2/21*x**4 + 11*x - 1/70*x**w + 0*x**2. Let z(b) = 0. Calculate b.
-2, 0
Let c(u) = -480*u + 2881. Let o be c(6). Factor -9/2*r + 7/2*r**2 + o.
(r - 1)*(7*r - 2)/2
Suppose 14*c - 19*c - 5*u = -40, -5*c - 2 = -2*u. What is y in -4/17*y**3 - 2/17*y**4 + 0*y**c + 4/17*y + 2/17 = 0?
-1, 1
Let r(o) = o**3 - o**2 - o. Let u be r(2). Let a(f) = -f**3 + 2*f**2 + 2*f - 1. Let x be a(u). Factor 2*c**2 - 4*c**x + c**3 - 6*c**3 + 0*c**2.
-c**2*(9*c - 2)
Let n = -60 - -70. Determine k so that -4*k**2 + 3 + n + 1 + 8*k - 2 = 0.
-1, 3
Let r(l) = l**3 - l**2 - l. Suppose 2*s + 7 - 9 = 0. Let y(q) = 4*q**3 + 11*q**2 + q. Let f(b) = s*r(b) + y(b). Let f(t) = 0. Calculate t.
-2, 0
Let u = -5/12 + 157/204. Suppose -u*p**2 + 6/17 - 2/17*p**3 + 2/17*p = 0. Calculate p.
-3, -1, 1
Factor 1/4*c**2 - 21/4*c + 1/4*c**4 - 9/2 + 5/4*c**3.
(c - 2)*(c + 1)*(c + 3)**2/4
Let g be ((-54)/24)/(-3 - 0). Let h(n) be the first derivative of g*n**4 - 3/2*n**2 + n**3 - 3 - 3*n. Factor h(t).
3*(t - 1)*(t + 1)**2
Suppose -4*r + 5*d = 3, 0*d = 3*d - 9. Factor 0*y + 3/2*y**r + 3/2*y**2 + 0.
3*y**2*(y + 1)/2
Let r(p) be the first derivative of p**6/27 - 122*p**5/45 + 70*p**4 - 18400*p**3/27 + 8000*p**2/9 - 316. Factor r(g).
2*g*(g - 20)**3*(g - 1)/9
Let z(g) be the first derivative of g**5/570 - 7*g**4/228 + 2*g**3/19 + 55*g**2/2 + 57. Let x(m) be the second derivative of z(m). Find y such that x(y) = 0.
1, 6
Let n = 1387/9269 - -3/713. Determine r, given that -n*r**2 + 4/13 + 2/13*r = 0.
-1, 2
Let b(a) = 5*a**2 - 74*a - 285. Let x be b(18). Suppose -8/3*o**x - 4/3*o**2 - 4/3*o**4 + 0 + 0*o = 0. Calculate o.
-1, 0
Let a(l) be the second derivative of -l**8/11200 - l**7/2100 - l**6/1200 - l**4/6 - 17*l. Let f(n) be the third derivative of a(n). Factor f(r).
-3*r*(r + 1)**2/5
Factor -c**3 + 13*c + 11*c**3 - 5*c**3 - 100*c**2 - 168*c**2 - 121*c.
c*(c - 54)*(5*c + 2)
Let q(t) be the third derivative of t**5/60 - 17*t**4/24 - 14*t**3 - 2*t**2 + 27*t. Factor q(d).
(d - 21)*(d + 4)
Determine f, given that -2*f**4 + 0 - 62/3*f**3 + 0*f + 44/3*f**2 = 0.
-11, 0, 2/3
Let t be (-6)/4 - 39/(-26)*1. Le