 = 4*k(u) - v(u). Factor y(w).
-(w - 60)*(w - 5)
Suppose 13*m + 75 = 28*m. Let u(r) = -10*r**2 + 45*r - 115. Let p(l) = l**2 + l - 2. Let h(g) = m*p(g) + u(g). Suppose h(a) = 0. Calculate a.
5
Let g = 3587 - 3580. Let h(q) be the first derivative of 2/19*q**2 + 0*q - 2/19*q**3 + g + 1/38*q**4. Solve h(k) = 0 for k.
0, 1, 2
Suppose 7*d - 19 = -2*x + 2*d, 3*x + 5*d - 16 = 0. Let u(t) = t**3 + 9*t**2 + 5. Let z(m) = -m**3 - 5*m**2 - 3. Let n(w) = x*u(w) - 5*z(w). Solve n(c) = 0.
0, 1
Let y(t) be the second derivative of -t**4/60 - 84*t**3/5 - 31752*t**2/5 + 3221*t. Factor y(o).
-(o + 252)**2/5
Let -656*a**3 - 28*a**4 + 11712/7*a - 18496/7*a**2 - 1728/7 = 0. Calculate a.
-18, -6, 2/7
Suppose -7 = -5*s - a, 0 = 4*s + 4*a - 26 + 30. Factor -1/4*z**3 - 3*z**s + 0 + 0*z.
-z**2*(z + 12)/4
Let q(l) = -l**2 + 2*l - 1. Let p be (-4)/(-3) + (-16)/3. Let r(c) = 160*c - 1760. Let a(t) = p*q(t) - r(t). Suppose a(s) = 0. Calculate s.
21
Suppose -2*z - 8*z - 9*z = -9*z. Let b(w) be the third derivative of 0*w + 1/240*w**6 + z*w**4 + 1/60*w**5 - 20*w**2 + 0*w**3 + 0. Solve b(n) = 0.
-2, 0
Let v be ((-3531)/(-214) - (16 - 2))*(-1)/(-10). Let -v*c**5 + 3/2*c**2 - 1/4*c**3 + 0 - c**4 + 0*c = 0. Calculate c.
-3, -2, 0, 1
Let h(l) be the third derivative of 0*l + 0 + 0*l**3 - 17/300*l**5 - 1/30*l**4 + 34*l**2 - 1/150*l**6. What is y in h(y) = 0?
-4, -1/4, 0
Solve -3/7*x**4 + 27/7*x**3 + 486 + 621/7*x**2 + 2673/7*x = 0.
-6, -3, 21
Let p = -186 + 601. Let v = p + -412. Factor -20/7*c**2 - 64/7*c - 64/7 - 2/7*c**v.
-2*(c + 2)*(c + 4)**2/7
Let c(s) be the first derivative of -s**6/240 - s**5/80 + 7*s**4/96 - s**3/12 - 36*s + 88. Let i(b) be the first derivative of c(b). Solve i(u) = 0.
-4, 0, 1
Let j(u) be the first derivative of 0*u + 2/3*u**3 - 73 - 5/2*u**4 + 6/5*u**5 + u**2. Solve j(l) = 0.
-1/3, 0, 1
Let q = -1670 + 5012/3. Let t = 127/834 - -2/139. Factor 0 - q*y**2 + t*y**3 + 0*y.
y**2*(y - 4)/6
Let y be (-14)/30*1206/(-1876). Let -1/10*s**4 - y*s**2 - 2/5*s**3 + 2/5*s + 2/5 = 0. What is s?
-2, -1, 1
Let s be ((-3)/5)/(6/(-20)). Factor -153*j - 5*j**3 + 0 + 84*j**s + 11 - 4*j**3 + 7 + 24.
-3*(j - 7)*(j - 2)*(3*j - 1)
Let s = 138740 - 138738. Factor -2/7*u**4 + 18/7*u**3 + 0*u - 4*u**s + 0.
-2*u**2*(u - 7)*(u - 2)/7
Let o(s) be the first derivative of s**4/24 - 2*s**3/3 + 7*s**2/4 + 67*s - 68. Let m(n) be the first derivative of o(n). Factor m(b).
(b - 7)*(b - 1)/2
Let y(z) be the first derivative of -z**4/4 + 39*z**3 - 912. Factor y(m).
-m**2*(m - 117)
Let x be 1344/588 + (-5)/((-175)/(-10)). Solve 20/7*y**4 + 0 + 40/21*y**x - 8/21*y - 74/21*y**3 - 6/7*y**5 = 0.
0, 2/3, 1
Factor -2225 + 341 - 1226 + 3276*r - 16*r**2 - 170 + 20*r**2.
4*(r - 1)*(r + 820)
Let l = -658 + 661. Let v(h) be the second derivative of -1/14*h**l + 3/140*h**5 + 0 - 1/7*h**2 - 6*h + 1/84*h**4 + 1/210*h**6. Suppose v(r) = 0. Calculate r.
-2, -1, 1
Let g be -29 + 1775/50 + (-5*2 - -4). Factor g*k**4 - 3*k**3 + 1/2*k**5 + 4*k + 0 - 2*k**2.
k*(k - 2)*(k - 1)*(k + 2)**2/2
Suppose -18*v - 48*v + 23 = -52*v - 19. Factor 0 + 12*b - 4/3*b**v + 0*b**2.
-4*b*(b - 3)*(b + 3)/3
Let m = -162 - -165. Determine k, given that 12*k**2 + m*k**3 + 405 + 15*k - 204 - 195 = 0.
-2, -1
Let q(h) = 7*h - 41. Let u be q(5). Let l(a) = -11*a**2 - 12*a + 5. Let n(d) = -2*d**2 - d. Let v(z) = u*n(z) + l(z). Suppose v(t) = 0. Calculate t.
1, 5
Let 2/3*j**2 + 749/6*j + 187/6 = 0. What is j?
-187, -1/4
Let g(y) = -381*y + 39. Let q be g(-9). Factor -35*f**2 - f**3 - q*f - 31*f**2 - 59*f**2 + 23*f**2 - 39304.
-(f + 34)**3
Let d(l) = l**2 - l + 1. Let q(k) = -5*k**2 + 5*k + 42. Let h(p) = 2*p**2 + p - 1. Let i(n) = -5*h(n) - q(n). Let r(o) = 20*d(o) + 5*i(o). Factor r(y).
-5*(y + 3)*(y + 11)
Let r = -852 - -1008. Let h = -777/5 + r. Factor 12/5 - h*p**3 + 33/5*p**2 - 36/5*p + 3/5*p**5 - 9/5*p**4.
3*(p - 2)*(p - 1)**3*(p + 2)/5
Let f(g) be the first derivative of -g**3/3 - 191*g**2/2 + 192*g + 387. Solve f(h) = 0 for h.
-192, 1
Let s(v) = 449*v + 3152. Let x be s(-7). Let q(y) be the first derivative of y**2 + x + 1/24*y**3 + 8*y. Let q(p) = 0. What is p?
-8
Let -461 + 720 + 1022*h**2 - 171 - 600*h = 0. Calculate h.
2/7, 22/73
Suppose -1359*j = -2983*j + 1398*j + 1130. Suppose 3/4*t**j + 27/4*t**3 + 18 + 6*t**4 - 33/2*t**2 - 15*t = 0. What is t?
-6, -2, 1
Suppose 8242 - 16574 + 7837 + 54*f + 30*f + 3*f**2 = 0. What is f?
-33, 5
Let g(q) be the first derivative of -5*q**6/36 + 109*q**5/6 - 110*q**4 + 2090*q**3/9 - 520*q**2/3 + 778. Determine t so that g(t) = 0.
0, 1, 2, 104
Let l(a) be the first derivative of -25/2*a**2 - 26 + 5/4*a**4 - 10/3*a**3 + 30*a. Factor l(o).
5*(o - 3)*(o - 1)*(o + 2)
Suppose -w + 399 = -g + 3*g, -601 = -3*g - w. Factor -174 + 535 + 112*l + 2*l**2 - g + 1409.
2*(l + 28)**2
Let s = -419133 - -419133. Determine v so that -3/5*v**2 + 12/5 + s*v = 0.
-2, 2
Let c be 147/63*(-13)/(-910). Let x(z) be the third derivative of c*z**6 - 2/15*z**5 + 0 - 18*z**2 + 0*z + 0*z**3 + 0*z**4. Solve x(d) = 0.
0, 2
Suppose 0 = 4*m - 1104 + 3388. Let q = m - -1143/2. Factor -q*d**4 - d**3 + 0*d**2 + 1/2 + d.
-(d - 1)*(d + 1)**3/2
Let n(m) be the first derivative of 2*m**5/45 + 29*m**4/54 + 2*m**3/27 - 35*m**2/9 + 129*m - 90. Let h(y) be the first derivative of n(y). Factor h(j).
2*(j - 1)*(j + 7)*(4*j + 5)/9
Let p be (-26)/(-65) + (293/(-5))/(-1). Let n = p - 49. Solve -4*w**4 - 13*w + 19*w - n*w + 4*w**2 + 4*w**3 = 0.
-1, 0, 1
Let d(n) be the third derivative of n**6/120 + 17*n**5/30 + 40*n**4/3 + 256*n**3/3 - 2*n**2 + 2*n + 1302. Factor d(o).
(o + 2)*(o + 16)**2
Suppose 0 = -v - 5*z + 89, -23*z + 227 = 3*v - 18*z. Let 25*u - 17*u**2 + v - 2*u + 14*u**2 + 43*u = 0. What is u?
-1, 23
Let z(u) = -7*u - 517. Let g(r) = r + 172. Let m(y) = -17*g(y) - 6*z(y). Let t be m(-7). Determine o, given that 3/5*o**2 - 3/5*o**4 - 9/5*o + 9/5*o**t + 0 = 0.
-1, 0, 1, 3
Let c(l) be the first derivative of l**6/50 - 99*l**5/100 + 72*l**4/5 - 128*l**3/5 + 20*l + 52. Let r(q) be the first derivative of c(q). What is j in r(j) = 0?
0, 1, 16
Let c = 191157791/29301975 - 26478/4201. Let n = 1/775 + c. Factor 0*h + 0*h**2 + 0 - n*h**3.
-2*h**3/9
Let z(h) be the third derivative of h**7/350 + h**6/25 + 17*h**5/100 + h**4/4 + 3*h**2 + 215. Solve z(n) = 0 for n.
-5, -2, -1, 0
Let m be (-42)/(-9) - (-14)/(-21). Suppose -m*z - z + 125 = 0. Solve -5*t**5 + z*t**5 + 34*t**2 + 68*t**4 + 64*t**3 - 18*t**2 = 0.
-2, -1, -2/5, 0
Let w be -16 + (1403/115 - -5). Factor w*x + 0 + 9/5*x**2 - 3*x**3.
-3*x*(x - 1)*(5*x + 2)/5
Let b(s) be the third derivative of 1/15*s**5 + 9*s**2 + 0 + 22/3*s**3 + 2*s + 2*s**4. Solve b(f) = 0 for f.
-11, -1
Let u(a) be the third derivative of 262*a**2 + 2/23*a**5 - 50/69*a**4 + 0*a + 1/2415*a**7 + 0 + 3/230*a**6 + 0*a**3. Suppose u(f) = 0. Calculate f.
-10, 0, 2
Let c(f) = f**2 + 3*f. Let s(m) = m**3 + 11*m**2 + 26*m - 2. Let q(t) = -5*t**2 + 26*t - 3. Let u be q(5). Let b(i) = u*s(i) - 18*c(i). Factor b(g).
2*(g - 1)*(g + 1)*(g + 2)
Suppose -15 + 7 = -4*y. Determine o so that -o**y - 2 - 14*o - 16*o + 27*o = 0.
-2, -1
Let t(s) be the first derivative of -1/5*s**4 - 6*s**2 + 28/5*s + 12/5*s**3 - 149. Factor t(u).
-4*(u - 7)*(u - 1)**2/5
Let b be ((-2)/5)/(-50*154/9625). Find n such that -1/2*n**2 + 1 - b*n = 0.
-2, 1
Let s(z) be the first derivative of z**4/4 + 3*z**3 + 3*z**2 - 16*z - 722. Determine h so that s(h) = 0.
-8, -2, 1
Let a(t) be the third derivative of t**5/30 - 23*t**4/24 + 5*t**3/2 + 14*t**2. Let k be a(11). Factor -5*i**4 + 0*i**3 - 8*i**3 + i**k + 4*i**5.
4*i**3*(i - 2)*(i + 1)
Let t(d) be the third derivative of d**7/70 + 69*d**6/40 + 669*d**5/10 + 592*d**4 - 3072*d**3 - 244*d**2 + 4*d. What is h in t(h) = 0?
-32, -6, 1
Let j(a) = 5*a**2 - 5*a - 6. Let i(f) = f**2 - 3*f + 1. Let h(t) = 8*t + 34. Let g be h(-5). Let d(b) = g*i(b) + j(b). Factor d(x).
-(x - 12)*(x - 1)
Suppose 2*y = 3 + 1. Let i = -78 - -80. Factor -i*u**3 + 0*u**4 - 12*u**2 + 9*u**4 - 12*u**y + 12*u + 5*u**3.
3*u*(u - 1)*(u + 2)*(3*u - 2)
Let d = 9527/7143 + -1/2381. Suppose -4/9*j**2 + d*j + 40/9 = 0. What is j?
-2, 5
Let h = -6 + 8. Let u(t) = 6*t**3 - 2*t**2 + 2. Let x(p) = p**3 - 2*p**2 + p**2 + 27433 - 27434. Let f(c) = h*x(c) + u(c). Suppose f(y) = 0. Calculate y.
0, 1/2
Find a such that 1/10*a**4 - 191/10*a**2 - 78/5*a + 0 - 17/5*a**3 = 