 19509*q**2 - 19508*q**2 + 3. Let v(f) = -4*f**2 + 4*f - 6. Let t(n) = z*h(n) - v(n). Factor t(j).
2*(j - 2)*(j - 1)
Let d(l) be the third derivative of -1/32*l**6 + 1/280*l**7 + 35*l**2 + 0*l**3 + 0 - 3/32*l**4 + 7/80*l**5 - 2*l. What is k in d(k) = 0?
0, 1, 3
Let f be 2635/(-34)*(-2)/5. Factor 4*d - 2*d**4 + 20*d**3 + f*d**2 + 15*d**2 + 20*d.
-2*d*(d - 12)*(d + 1)**2
Let t = -145 - 1673. Let x be (-15554)/t - ((-22)/(-18) - 1). Determine r so that x + 5/3*r**2 - 10*r = 0.
1, 5
Suppose 18*n + 22 = 29*n. Suppose 3*l**3 + 320*l + 36*l**n - 2*l**3 - 260*l + 2*l**3 = 0. Calculate l.
-10, -2, 0
Let b(r) be the second derivative of -r**6/25 - r**5/2 + 4*r**3 - 32*r**2/5 - 1727*r. Determine d so that b(d) = 0.
-8, -2, 2/3, 1
Let s = -163946 + 491870/3. Factor -16/3*y + 2/3*y**4 + s - 1/3*y**5 - 16/3*y**2 + 8/3*y**3.
-(y - 2)**3*(y + 2)**2/3
Suppose -13*u + 32 = -59. Suppose -z**4 + 3*z**4 - 2781*z + 5*z**3 + 2786*z + u*z**3 - z**5 + 14*z**2 = 0. What is z?
-1, 0, 5
Let k(v) = v**4 + 60*v**3 - 184*v**2 + 15*v + 6. Let i(z) = -4*z**4 - 182*z**3 + 552*z**2 - 50*z - 20. Let h(r) = 3*i(r) + 10*k(r). Factor h(l).
-2*l**2*(l - 23)*(l - 4)
Let r(h) = 3*h**2 + 4*h + 17. Let b(x) = -x**2 - 50*x + 279. Let y be b(5). Let l(c) = 8 - 5 + 2*c**2 + 2*c + 5. Let s(z) = y*r(z) - 7*l(z). Factor s(w).
-2*(w - 3)*(w + 2)
Let x(i) be the third derivative of 0*i + 1/35*i**5 - 3*i**2 - 1/735*i**7 - 8/21*i**3 - 1/420*i**6 - 7 + 1/21*i**4. Suppose x(h) = 0. Calculate h.
-2, 1, 2
Suppose 0 = 13*n - 8*n - 1735. Factor 48*v**4 + 219*v**3 - 122*v - n*v + 3*v**5 + 648 + 54*v**2 - 503*v.
3*(v - 1)**2*(v + 6)**3
Suppose 0 = -107*j + 87*j + 60*j. Let h(v) be the first derivative of -1/15*v**5 - 1/3*v**2 + 1/6*v**4 + 1/9*v**3 - 35 + j*v. Factor h(d).
-d*(d - 2)*(d - 1)*(d + 1)/3
Let f(p) = -2*p**3 + 6*p**2 + 18*p + 1. Let l be f(-2). Suppose -1434*z**5 + 14*z**3 + 1430*z**l - 11*z**2 - 13*z**2 + 6*z**3 + 8*z**4 = 0. Calculate z.
-2, 0, 1, 3
Let d(o) = o**2 - 42*o - 27446. Let g be d(-146). Solve 50/13*k + 0 + 2/13*k**4 - 18/13*k**3 + 30/13*k**g = 0.
-1, 0, 5
Let n = -413 - -415. Suppose n*a**3 + 2*a**4 + 0*a**3 + 8*a**5 - 9*a**5 - a**4 = 0. What is a?
-1, 0, 2
Let w(g) = -4*g**2 - 3*g - 8. Let z be w(-3). Let b be (97/(-20) + 5)/((-14)/z). What is u in 27/8*u**2 - 9/4*u + b = 0?
1/3
Factor -5*g**4 + 1028*g**2 + 113*g + 145*g**2 + 93 + 2*g**4 - 285*g**3 - 1592*g + 501.
-3*(g - 2)*(g - 1)**2*(g + 99)
Let h(o) be the first derivative of -1/57*o**6 - 14/57*o**3 - 16/19*o + 8 + 6/95*o**5 - 18/19*o**2 + 7/38*o**4. Suppose h(w) = 0. What is w?
-1, 2, 4
Let k(r) be the first derivative of -r**3/7 + 2316*r**2/7 - 1787952*r/7 - 1253. Solve k(n) = 0 for n.
772
Let q = 548 + -543. Let j be (-10 + 5 + q)*(-1)/(-2). Factor -1/9*z**3 + 1/9*z + 0 + j*z**2.
-z*(z - 1)*(z + 1)/9
Let z(v) be the first derivative of -2*v**6/15 + v**5 - v**4 - 6*v**3 - 27*v - 89. Let r(u) be the first derivative of z(u). Find h such that r(h) = 0.
-1, 0, 3
Let p(j) be the third derivative of 0 + 121*j**2 + 0*j + 1/180*j**5 - 1/24*j**4 + 0*j**3. Factor p(n).
n*(n - 3)/3
Let b be 4/(13/3 + -3) - (-4)/2. Let g(q) be the first derivative of -3/35*q**b - 3/14*q**2 + 1/14*q**4 + 2/21*q**3 + 15 + 1/7*q + 1/42*q**6. Factor g(c).
(c - 1)**4*(c + 1)/7
Factor 4/9*g**3 + 64/9 - 16/9*g**2 - 16/9*g.
4*(g - 4)*(g - 2)*(g + 2)/9
Suppose -4*d + 5*i + 48 = 3, -d - 15 = 4*i. Let z(h) be the second derivative of 0*h**2 + 1/4*h**4 + 1/2*h**3 - 3/20*h**d + 0 - 1/10*h**6 + 9*h. Factor z(j).
-3*j*(j - 1)*(j + 1)**2
Let t(h) = -7*h**2 - 363*h - 2895. Let y be t(-42). Factor -12/5*v**y - 12/5 - 36/5*v + 9*v**2.
-3*(v - 2)**2*(4*v + 1)/5
Let m(y) be the third derivative of -y**6/10 + 23*y**5/3 + 101*y**4/3 - 160*y**3/3 - 7034*y**2. Find g such that m(g) = 0.
-2, 1/3, 40
Determine z so that -34/7*z + 20/7 + 6/7*z**2 - 2/7*z**4 + 10/7*z**3 = 0.
-2, 1, 5
Let n(p) = -4*p**4 - 22*p**3 + 9*p**2 + 26*p + 8. Let a(t) = -4*t**4 - 28*t**3 + 8*t**2 + 28*t + 8. Let s(r) = -3*a(r) + 4*n(r). Factor s(d).
-4*(d - 2)*(d + 1)**3
Let n(w) = 3*w**2 + 5*w + 4. Let i be n(-1). Factor -3*m**i + 33*m**3 + 5*m**4 + 54*m**3 - 77*m**3 - 12*m**2.
5*m**2*(m - 1)*(m + 3)
Let p(z) = 517*z**3 - 224*z**2 + 27*z - 10. Let x(h) = 172*h**3 - 75*h**2 + 9*h - 3. Let q(j) = 3*p(j) - 10*x(j). Factor q(n).
-n*(13*n - 3)**2
Suppose 4*m - 5*d = 23, 5*m = -d + 10 - 3. Factor -m*f**4 + 24*f + 2*f - 12 - 2*f**3 - 14*f**2 + 4*f**4.
2*(f - 2)*(f - 1)**2*(f + 3)
Suppose 6*v - 62 = 214. Let w = v - 36. Factor 5 + 5*g + 7*g**4 + 5*g**5 - w*g**2 + 2*g**4 - 4*g**4 - 10*g**3.
5*(g - 1)**2*(g + 1)**3
Let k(v) be the third derivative of v**5/210 + 85*v**4/21 + 28900*v**3/21 - 2980*v**2. Determine p so that k(p) = 0.
-170
Let x(m) be the first derivative of m**8/1344 - 3*m**6/80 + 27*m**4/32 - 14*m**2 - 2*m + 57. Let s(d) be the second derivative of x(d). Factor s(y).
y*(y - 3)**2*(y + 3)**2/4
Let o be 0 + -4 + 2 + 1 + 51. Let d be (18/(-15))/((-105)/o). What is j in -2/7*j - 2/7 + 4/7*j**3 - 2/7*j**5 + d*j**2 - 2/7*j**4 = 0?
-1, 1
Let b = 1182 + -1197. Let u be 2/(b/280*-7). Find w, given that 1/3*w**5 - u*w**2 + 0*w**4 + 4*w - 13/3*w**3 + 16/3 = 0.
-2, -1, 1, 4
Let q = -642 - -647. Factor -56*p + 6*p**3 - 3*p**q + 0*p**5 + 25*p + 28*p.
-3*p*(p - 1)**2*(p + 1)**2
Let o(u) be the second derivative of 2/3*u**2 - 1/6*u**3 - 1/36*u**4 + 0 + 13*u. Factor o(g).
-(g - 1)*(g + 4)/3
Let q be 0/(14 + (0 - 5)). Let c(n) be the third derivative of -1/150*n**5 + 1/210*n**8 - 1/100*n**6 - 7*n**2 + q + 0*n**7 + 0*n + 0*n**4 + 0*n**3. Factor c(f).
2*f**2*(f - 1)*(2*f + 1)**2/5
Let p(x) be the second derivative of -x**4/12 - 127*x**3 - 145161*x**2/2 - x - 18. Solve p(s) = 0.
-381
Let a(x) be the second derivative of -x**5/10 - 3*x**4/2 + 1505*x. Factor a(s).
-2*s**2*(s + 9)
Let t(p) be the second derivative of 235/12*p**4 + 7 - 160*p**2 + 440/3*p**3 + 3/4*p**5 + 5*p. Factor t(d).
5*(d + 8)**2*(3*d - 1)
Let s(x) = -11*x**2 - 155*x + 339. Let n be s(-16). Solve -2/9*o**4 - 10/9*o**n - 4/9 - 2*o**2 - 14/9*o = 0 for o.
-2, -1
Let i be 7*((-1100)/88 + 13). What is c in 1/4*c**2 + 9/4*c + i = 0?
-7, -2
Let c(t) be the first derivative of 1728*t**2 + 48*t**3 + 1/2*t**4 - 98 + 27648*t. Find u such that c(u) = 0.
-24
Let x(v) be the third derivative of v**6/30 - 3041*v**5/15 + 1156720*v**4/3 - 4620800*v**3/3 + 9030*v**2. Factor x(p).
4*(p - 1520)**2*(p - 1)
Let j(s) = -s**3 - 208*s**2 + 5426*s + 3. Let t(w) = w**3 - 6*w - 1. Let m(i) = -j(i) - 3*t(i). Factor m(l).
-2*l*(l - 52)**2
Let q = 1072121/70 - 15316. Let l(c) be the third derivative of 20*c**2 + 3/40*c**6 - 1/4*c**5 + 0 - 3/8*c**4 + 2*c**3 + q*c**7 + 0*c. Factor l(t).
3*(t - 1)**2*(t + 1)*(t + 4)
Suppose 4*r - 28 = u, -3*r = 285*u - 281*u + 17. Find k, given that -2/11*k**r + 136/11*k + 46/11*k**3 + 48/11 + 12*k**2 + 0*k**4 = 0.
-2, -1, 6
Suppose 2*b - 7*b - 20 = -5*o, 0 = 4*o - 5*b - 18. Factor 6*x + 4*x + 2*x**o + 6*x - 2*x - 36.
2*(x - 2)*(x + 9)
Let d(x) be the second derivative of x**5/240 + x**4/8 + 3*x**3/2 + 11*x**2/2 + 12*x. Let r(p) be the first derivative of d(p). Suppose r(t) = 0. What is t?
-6
Suppose -17 + 11 = -6*t. Let o be 176/28 - (2 + (5 - t)). Determine a so that 6/7*a - o*a**3 + 4/7*a**2 + 0 = 0.
-1, 0, 3
Let x(a) be the first derivative of 11*a**3/2 + 207*a**2/4 - 120*a - 951. Factor x(f).
3*(f - 1)*(11*f + 80)/2
Let t = 1985 - 1955. Suppose 0 = n - 20 - 7. Factor -24*p**2 + n - 32 - t*p - 21*p**2.
-5*(3*p + 1)**2
Let u(r) be the first derivative of 1/14*r**4 - 8/7*r**3 + 0*r + 11/7*r**2 - 122. Find z, given that u(z) = 0.
0, 1, 11
Let u(v) = 5*v**2 - 53*v - 70. Let z(y) be the first derivative of 5*y**3/3 - 55*y**2/2 - 70*y - 2. Let l(t) = 5*u(t) - 6*z(t). Suppose l(q) = 0. What is q?
-1, 14
Let h = -90 + 80. Let t(a) = -a**3 - 11*a**2 - 10*a + 3. Let c be t(h). Suppose 16 + 28*n + 10*n**2 - c*n - 3 - 3 = 0. Calculate n.
-2, -1/2
Suppose 0 = -16*c + 51489 + 18559. Factor -c*l - l**3 + 4372*l + 6*l**2 - l**2.
-l*(l - 3)*(l - 2)
Let j(w) = w + 4. Let x be j(-4). Suppose x = 2*h - 4062 - 756. Factor 3*m**4 + 0*m**4 + 3*m**3 + h*m**2 + m**5 - 2408*m**2.
m**2*(m + 1)**3
Let i = -5290015/17 - -311195. Let -i*u**2 - 250000/17 - 15000/17*u - 2/17*u**3 = 0. What is u?
-50
Factor 9*m**4 + 418 + 18*m + 6*m**2 - 30*m**3 + 3*m**5 - 433 + 9*m.
3*(m - 1)*