*h**2 + 154*h - 144. Let i(u) = l(u) + 6*p(u). Factor i(z).
-4*(z - 36)*(z - 1)
Let j(h) be the third derivative of -h**7/1680 - 7*h**6/480 - h**5/8 + 7*h**4/12 - 22*h**2. Let g(l) be the second derivative of j(l). Factor g(z).
-3*(z + 2)*(z + 5)/2
Solve 19 + 14 - 141 + 4*g - 109*g + 3*g**2 = 0 for g.
-1, 36
Let j(w) be the second derivative of -2*w**7/3 + w**6 + w**5/5 - w**4/2 - 349*w. Solve j(z) = 0.
-3/7, 0, 1/2, 1
Let p = -8653 - -8656. Let -6/7*t**p + 6/7*t + 4/7*t**2 - 4/7*t**4 + 0 = 0. Calculate t.
-3/2, -1, 0, 1
Let v(z) be the first derivative of 9*z**4/4 - 53*z**3/4 + 27*z**2/4 + 6*z + 22. Determine m, given that v(m) = 0.
-1/4, 2/3, 4
Let o(n) be the third derivative of -n**10/60480 + n**4/2 + 15*n**2. Let k(r) be the second derivative of o(r). Solve k(p) = 0 for p.
0
Let g(u) be the third derivative of -u**11/1330560 + u**9/241920 + 3*u**5/20 + 27*u**2. Let h(b) be the third derivative of g(b). Let h(i) = 0. Calculate i.
-1, 0, 1
Let r(c) be the first derivative of -16/3*c**3 + 0*c - 16 - 2*c**2. Solve r(b) = 0 for b.
-1/4, 0
Suppose -1910 = -3*n - 2*n. What is a in -4*a**3 - 16 + 4*a**2 + 0*a**3 - 366*a + n*a = 0?
-2, 1, 2
Let d(b) = 144*b - 2. Let z be d(-2). Let q = z + 452. Find c, given that -33*c**5 - 21*c**5 - 8*c - 6*c - 2*c - 180*c**3 - 88*c**2 - q*c**4 = 0.
-1, -2/3, 0
Let i(y) be the third derivative of -25*y**8/336 + 11*y**7/14 + 209*y**6/24 + 343*y**5/12 + 45*y**4 + 110*y**3/3 - 627*y**2. Suppose i(c) = 0. What is c?
-2, -1, -2/5, 11
Let n = -4058 - -4058. Let -3/2*c**3 + n - 1/4*c - 1/4*c**5 + c**4 + c**2 = 0. What is c?
0, 1
Let -72/5 + 24/5*i + 6/5*i**2 = 0. Calculate i.
-6, 2
Suppose -3*t + 0*t = -2*f + 197, 3*f - 4*t - 295 = 0. Let l = f + -193/2. Factor -1/4*o**2 - 3/4*o - l.
-(o + 1)*(o + 2)/4
Let b be ((7000/(-75))/28)/(((-16)/(-42))/(-2)). Let b*t**2 + 10 + 55/2*t = 0. Calculate t.
-1, -4/7
Find s such that 4/25*s**4 + 78/25*s**2 + 14/25 + 58/25*s + 38/25*s**3 = 0.
-7, -1, -1/2
Suppose 0 = -2*w - 4*f + 16 - 50, 3*w + 27 = 2*f. Let n(d) = -d**3 - 10*d**2 + 13*d + 24. Let z be n(w). Suppose 1/6*s + 1/6*s**z + 0 = 0. Calculate s.
-1, 0
Suppose 0 = 2*k - 15 + 9. Find b such that 2 + 8 + 18*b**k + 48*b**2 - 10 + 40*b + 2*b**4 = 0.
-5, -2, 0
Find l, given that 0 + 0*l**2 - 5/3*l**4 - 5/6*l**3 + 0*l - 5/6*l**5 = 0.
-1, 0
Let n(o) = 2*o**2 - 23*o + 68. Let t be n(5). Factor -4*m**4 + 0 + 0*m + 0*m**2 + 8/3*m**t + 4/3*m**5.
4*m**3*(m - 2)*(m - 1)/3
Let f = -6 - -11. Factor -w**4 + 5*w**5 - w**f + w**5 + 2*w**3 - 6*w**5.
-w**3*(w - 1)*(w + 2)
Let j be 182/(-240) + (288/60 - 4). Let x(f) be the first derivative of j*f**3 + 3/16*f**2 + 1/4*f + 8. Suppose x(i) = 0. Calculate i.
-2, -1
Let u(t) = -9*t**4 + 20*t**3 - 23*t**2 + 7*t + 5. Let d(c) = 8*c**4 - 20*c**3 + 24*c**2 - 8*c - 4. Let m(a) = 5*d(a) + 4*u(a). Find g such that m(g) = 0.
0, 1, 3
Let l be 6 + ((-128)/(-12))/(-2). Let i(t) be the first derivative of 1 + 1/9*t**6 - 1/3*t**2 + 2/9*t**3 + l*t**4 + 7/15*t**5 - 1/3*t. Factor i(m).
(m + 1)**4*(2*m - 1)/3
Let d = 28 + -28. Let k be (d - 1/(4/(-12))) + -3. Solve 3*f**2 - 3/4*f**3 - 3*f + k = 0.
0, 2
Let d = 19 + -15. Factor 10*o**2 - 2*o**3 - d*o**2 + 5*o**3 - 9*o**2.
3*o**2*(o - 1)
Suppose -3*y + 34*s - 30*s - 11 = 0, -5*y + 4*s - 5 = 0. Suppose -9/7*k**y + 0 - 1/7*k**5 - 27/7*k**2 + 54/7*k + k**4 = 0. Calculate k.
-2, 0, 3
What is o in 9/5*o + 7/10*o**2 - 1/10*o**3 + 0 = 0?
-2, 0, 9
Find m, given that 2*m + 28*m + 22*m - 3*m**3 - 4*m - 18*m**2 = 0.
-8, 0, 2
Suppose 35/4*s + 1/4*s**3 - 49/4 + 13/4*s**2 = 0. Calculate s.
-7, 1
Let j(y) be the first derivative of -y**4/40 - y**3/5 - y**2/4 - 441. Factor j(c).
-c*(c + 1)*(c + 5)/10
Suppose 25*w + 22*w + 69*w - 35*w = 0. What is c in 6/5*c - 9/5*c**2 + w + 3/5*c**3 = 0?
0, 1, 2
Let g(f) be the second derivative of -f**6/30 - 3*f**5/10 - f**4/3 + f**3 + 5*f**2/2 + 4*f. Let g(x) = 0. What is x?
-5, -1, 1
Let q(o) be the first derivative of -49*o**4/12 + 112*o**3/9 - 29*o**2/6 + 2*o/3 - 40. Factor q(c).
-(c - 2)*(7*c - 1)**2/3
Let g be ((-3)/5)/(3/(-10)). Determine t so that -2*t**2 - t**3 + 3*t**3 + 0*t**3 + 0*t - 2*t + g*t**4 = 0.
-1, 0, 1
Let s be (-5)/(-25) + (-11)/5. Let k be (-20)/30*9/s. Factor -8/5*t**k + 12/5*t**2 - 8/5*t + 2/5*t**4 + 2/5.
2*(t - 1)**4/5
Suppose 5*t + 3 = 158*b - 159*b, 4*t - 3*b = 9. Factor t*m**2 + 1/7*m + 0 - 1/7*m**3.
-m*(m - 1)*(m + 1)/7
Suppose 2*j + 46*z + 4 = 50*z, -4*j = z - 1. What is k in j*k - 3/5*k**2 - 3/5*k**3 + 0 = 0?
-1, 0
Factor 3171 - 22560*q + 1538*q**2 + 10452*q**2 + 69*q**3 - 549*q**3 + q**4 + 7874 + 4*q**4.
5*(q - 47)**2*(q - 1)**2
Let o be (-8)/(6/(-3)) - -1. Suppose 0 = u - 5, y = 2*y - o*u + 11. Factor 0*z**3 - z + 2*z**3 + 4 + 11*z + y*z**2 - 6*z**2.
2*(z + 1)**2*(z + 2)
Let z = -111824/105 + 1065. Let a(s) be the third derivative of s**2 + 0*s**3 + 1/30*s**6 - 1/30*s**5 - z*s**7 + 0 + 0*s + 0*s**4. Factor a(m).
-2*m**2*(m - 1)**2
Factor -32/13 - 40/13*j - 2/13*j**3 - 16/13*j**2.
-2*(j + 2)**2*(j + 4)/13
Let r(z) be the second derivative of -z**5/4 - 975*z**4/4 - 190125*z**3/2 - 37074375*z**2/2 + 266*z. Factor r(c).
-5*(c + 195)**3
Suppose 3*x - 4*x + 6 = w, -5*w + 4*x - 15 = 0. Let d be ((-6)/10 - w)/((-348)/290). Suppose 8/3*j**3 - 16/3 - 4*j**2 - 32/3*j + d*j**4 = 0. Calculate j.
-2, -1, 2
Let -32 + 14*c**5 - 82*c + 1705*c**4 - 1807*c**4 + 280*c**3 + 274*c - 352*c**2 = 0. Calculate c.
2/7, 1, 2
Let a(l) = -l**2 - 4*l + 2. Let w be a(-5). Let s(k) = -2*k**3 + 2*k**2 + 2*k. Let t(j) = -2*j**3 + 3*j**2 + 2*j. Let b(i) = w*s(i) + 2*t(i). Factor b(r).
2*r*(r - 1)*(r + 1)
Factor 1/4*g**2 + 7/4*g + 5/2.
(g + 2)*(g + 5)/4
Let d = -2/13773 + 42850/4591. Factor -4/3*i**2 + d*i + 0.
-4*i*(i - 7)/3
Factor 16/3*k + 6*k**2 + 0 + 2/3*k**3.
2*k*(k + 1)*(k + 8)/3
Let l(k) = -2*k**3 + k**2 + 4*k + 4. Let m be l(-2). Suppose -5*w**2 + w - 8 + m*w**4 + 36*w**3 + 2*w**2 - 37*w - 5*w**2 = 0. What is w?
-2, -1, -1/4, 1
Let q be 8785/(-52) + (26/8 - 3). Let x = 169 + q. Let 6/13*w**2 - 2/13*w**3 + 2/13*w - x - 2/13*w**4 = 0. What is w?
-2, -1, 1
Let d(w) be the third derivative of w**7/105 - w**6/60 - w**5/10 + 5*w**4/12 - 2*w**3/3 - 72*w**2 - 2. Factor d(q).
2*(q - 1)**3*(q + 2)
Let l = -2/3339 + 137/22260. Let n(j) be the third derivative of 1/45*j**5 + 1/36*j**4 + 0 + l*j**6 + 0*j + 0*j**3 - 6*j**2. Let n(q) = 0. Calculate q.
-1, 0
Determine r, given that 45602/19*r + 604/19*r**2 + 2/19*r**3 + 0 = 0.
-151, 0
Suppose -d = -2*v + 847, -5*d - 3*v - 2694 = 1554. Let u = d - -6805/8. Determine n so that -27/8*n**2 - 7/8*n**4 - 1/4 + u*n + 23/8*n**3 = 0.
2/7, 1
Suppose -9*l**4 - 31*l**3 + 29*l**4 + 3*l**5 + 22*l**4 + 103*l**3 = 0. Calculate l.
-12, -2, 0
What is p in 1/2 - 7/2*p**3 + 4*p**2 - 1/4*p**5 - 9/4*p + 3/2*p**4 = 0?
1, 2
Factor 1/3*n**2 + 26*n + 507.
(n + 39)**2/3
Let a(u) be the first derivative of 3/20*u**5 + 5*u - 3/2*u**3 - 9 + 0*u**4 - 3*u**2. Let g(d) be the first derivative of a(d). Factor g(p).
3*(p - 2)*(p + 1)**2
Let a(r) be the first derivative of -484*r**4/7 + 396*r**3/7 - 120*r**2/7 + 16*r/7 - 93. Suppose a(m) = 0. What is m?
2/11, 1/4
Let c(v) be the second derivative of -v**6/120 + 13*v**5/210 + v**4/21 + 33*v**2/2 - 16*v. Let d(o) be the first derivative of c(o). Let d(h) = 0. What is h?
-2/7, 0, 4
Let -9*q - 11*q - 5*q**5 + 10*q**4 + 25*q - 10*q**2 = 0. What is q?
-1, 0, 1
Let c = 379 - 377. Let t(b) be the first derivative of -c*b + 3 + b**4 + 0*b**3 - 2*b**2 + 2/5*b**5. Factor t(w).
2*(w - 1)*(w + 1)**3
Let j(d) be the first derivative of 243*d**5/5 + 4050*d**4 + 135000*d**3 + 2250000*d**2 + 18750000*d - 29. Factor j(h).
3*(3*h + 50)**4
Suppose -m + 15 - 2 = 3*l, -3*m = 4*l - 24. Let n(v) be the second derivative of -9*v + 0 - 2/3*v**l - 3/2*v**2 - 1/12*v**4. Factor n(o).
-(o + 1)*(o + 3)
Let p(w) = 12*w**2 + 729*w - 181. Let v be p(-61). Let 1/8*b + 1/8*b**v + 0 = 0. Calculate b.
-1, 0
Suppose 15*n = 17*n - 4. Suppose 0 = -v - n*q + 1, 0*q = -4*v - 5*q + 16. Suppose -5 + 8 + 3*x**3 + 3 + v*x**2 - 3*x**4 - 15*x = 0. Calculate x.
-2, 1
Solve -304/3*d - 3/2*d**3 + 73/3*d**2 + 64/3 = 0 for d.
2/9, 8
Solve 0 - 16/17*s**2 + 2/17*s**3 - 18/17*s = 0.
-1, 0, 9
Let s(l) be the third derivative of 0 + 0*l + 5/3*l**4 + 5/12*l**5 + 27*l**2 + 1/24*l**6 + 10/3*l**3. Determine n so that s(n) = 0.
-2, -1
Let x(l) = -6*l - 3*l -