6*l**2. Factor d(j).
-2*j*(j - 1)**3*(j + 20)/3
Let z(t) be the first derivative of -t**7/21 + 2*t**6/75 + t**5/10 - t**4/15 + 6*t + 99. Let u(q) be the first derivative of z(q). Solve u(c) = 0 for c.
-1, 0, 2/5, 1
Let b(c) be the third derivative of -c**8/30240 + c**7/7560 + c**6/90 - c**5/20 - 2*c**2 - 20. Let s(d) be the third derivative of b(d). What is o in s(o) = 0?
-3, 4
Let w be (-1)/((-3750)/500*(1/((-15)/20) - -2)). Let -w*k**2 - 19/5 - 4*k = 0. What is k?
-19, -1
Let c(k) be the first derivative of -159 + 8*k**4 + 131072*k + 8979*k**2 + 27 - 2835*k**2 - 7*k**4 + 128*k**3. What is u in c(u) = 0?
-32
Let u(b) = 3*b**2 - 42*b + 61. Let k be u(14). Solve -13*y + 66*y**2 - 23*y - 4*y - k*y**2 = 0 for y.
0, 8
Let k(g) be the first derivative of -15/14*g**2 + 1/28*g**4 + 6*g - 2/7*g**3 + 4. Let p(j) be the first derivative of k(j). Factor p(r).
3*(r - 5)*(r + 1)/7
Suppose -4*w - 6 + 42 = 0. Let 2*y**3 - 5*y**2 + 10*y**3 - w*y**5 + 11*y**2 - 3*y + 0*y**4 - 6*y**4 = 0. What is y?
-1, 0, 1/3, 1
Let h(q) be the third derivative of q**5/120 + 15*q**4/16 - 12*q**3 - 1466*q**2. Determine b, given that h(b) = 0.
-48, 3
Let x(v) be the first derivative of -2*v**3/9 + 118*v**2/3 + 160*v - 2201. Determine p, given that x(p) = 0.
-2, 120
Let d(u) be the second derivative of -1/3*u**3 - 30*u - 1/50*u**5 + 0*u**2 - 1/5*u**4 + 0. Factor d(q).
-2*q*(q + 1)*(q + 5)/5
Let n(d) be the first derivative of d**3/3 + 992*d**2 + 1983*d - 13424. Suppose n(i) = 0. What is i?
-1983, -1
Suppose -33*f**3 + 139*f + 210*f**3 + 2213*f + 2*f**4 - 4*f**3 - 1748*f**2 + 109*f**3 = 0. Calculate f.
-147, 0, 2, 4
Let s(v) be the first derivative of -2*v**3/27 - 274*v**2/9 + 550*v/9 + 1405. Let s(w) = 0. Calculate w.
-275, 1
Let k(b) be the first derivative of -18 + 4/33*b**3 + 1/11*b**2 + 0*b. Factor k(o).
2*o*(2*o + 1)/11
Suppose 12*i - 25 = -1. Suppose -2*v + i*q = -80, -20*v + 19*v - 4*q = -20. Suppose -20*w - 48*w**2 - v*w**3 - 8/3 = 0. Calculate w.
-2/3, -1/3
Let k(s) be the first derivative of -s**4/84 + 2*s**3/21 - 2*s**2/7 + 16*s - 10. Let i(r) be the first derivative of k(r). Factor i(y).
-(y - 2)**2/7
Suppose -2*s = -2*w + 1 + 3, -2*s + 5*w = 16. Find z, given that -32*z**s + 16*z**3 - 7*z**4 + 4*z**4 + z**4 = 0.
0, 4
Let -20*q + 38 + 42*q**3 - 95*q**3 + 58*q**3 - 14*q**2 - 9*q = 0. What is q?
-2, 1, 19/5
Let x(k) = -10*k**2 - 8*k. Let a(l) be the third derivative of -l**5/30 - l**4/12 + 2*l**2 + 11. Let s(u) = -18*a(u) + 4*x(u). Factor s(f).
-4*f*(f - 1)
Let k(z) be the third derivative of 2*z**2 + 1/15*z**5 + 0*z + 1/8*z**4 - z**3 + 0. Let p(m) = -5*m**2 - 4*m + 7. Let a(y) = -6*k(y) - 5*p(y). Factor a(f).
(f + 1)**2
Solve -2234513 + 160*w - w**3 + 2234513 + 6*w**2 = 0 for w.
-10, 0, 16
Let m be 11624/(-34) + 12/(-102). Let t = m + 685/2. Suppose -1/2*c**2 + 1 + t*c = 0. Calculate c.
-1, 2
Let i(g) = 31*g**2 + 230*g - 458. Let j(m) = -78*m**2 - 459*m + 915. Let n(v) = 15*i(v) + 6*j(v). Factor n(y).
-3*(y - 230)*(y - 2)
Let x(c) be the third derivative of -c**5/120 + 49*c**4/4 - 7203*c**3 + 7013*c**2. Factor x(v).
-(v - 294)**2/2
Let f(r) = 11*r + 103. Let t be f(-9). Suppose 2*z - 2*j = t*z - 10, 4*j - 8 = 2*z. Factor 0 + 1/4*d - 1/4*d**z - 1/4*d**3 + 1/4*d**4.
d*(d - 1)**2*(d + 1)/4
Let z(x) be the first derivative of 226981*x**5 + 1246535*x**4/4 + 38430*x**3 + 1850*x**2 + 40*x - 1306. Factor z(l).
5*(l + 1)*(61*l + 2)**3
Let l(v) be the third derivative of 0 + 0*v**3 + 0*v - 109*v**2 + 7/75*v**5 - 1/30*v**4 - 49/600*v**6. Factor l(h).
-h*(7*h - 2)**2/5
Let m(b) be the first derivative of 5*b**7/84 - b**6/6 - 3*b**5/8 + 5*b**4/6 + 5*b**3/3 - 29*b - 88. Let o(x) be the first derivative of m(x). Factor o(l).
5*l*(l - 2)**2*(l + 1)**2/2
Let y = 48843 - 97685/2. Let x = -3 - -5. Factor y*t**x + 0 + 1/2*t.
t*(t + 1)/2
What is h in -763 - 273*h**4 + 321*h**2 + h - 11*h**5 - 203*h**3 + 715 + 213*h = 0?
-24, -1, 2/11, 1
Let a be (-2489702)/34002 + 75/1. Let a*v**5 - 400/3*v + 76*v**3 - 32 - 8/9*v**2 - 68/3*v**4 = 0. What is v?
-1, -1/4, 2, 6
Let w(a) = a**3 + 10*a**2 - 16*a - 26. Let p be w(-11). Let t = 29 - p. Factor 1 - u**4 - u**3 + 2*u**3 + t - u + 3*u**2 - 3.
-(u - 2)*(u - 1)*(u + 1)**2
Let j(b) be the third derivative of 0 + 0*b**3 + 5/14*b**4 + 0*b + 1/140*b**5 + 39*b**2. Factor j(t).
3*t*(t + 20)/7
Let j(g) be the second derivative of 0 + 0*g**5 + 0*g**2 - 5/4*g**4 - 5/3*g**3 + 1/6*g**6 + 13*g. Factor j(i).
5*i*(i - 2)*(i + 1)**2
Let t(h) = -3*h - 32. Let s be t(-10). Let b be -10 + 420/50 - s. Factor 36/5*r - 162/5 - b*r**2.
-2*(r - 9)**2/5
Let h be ((-9)/(-24))/(4599/2336). Let j(v) be the first derivative of 2/35*v**5 + h*v**3 - 21 - 3/14*v**4 + 0*v**2 + 0*v. Factor j(m).
2*m**2*(m - 2)*(m - 1)/7
Let p(o) be the second derivative of -o**7/504 + o**6/144 + o**5/2 + 173*o**4/12 + 50*o - 1. Let r(u) be the third derivative of p(u). Solve r(h) = 0.
-3, 4
Let q(s) be the second derivative of -20/3*s**3 + s + 1/3*s**4 + 77 + 18*s**2. Factor q(b).
4*(b - 9)*(b - 1)
Let d(u) be the first derivative of 82 - 2/15*u**5 - 4/9*u**3 + 5/3*u**2 + 2*u - u**4 + 1/9*u**6. Factor d(v).
2*(v - 3)*(v - 1)*(v + 1)**3/3
Determine c so that 38030*c + 26629*c**2 - 53269*c**2 - 72314045 + 26635*c**2 = 0.
3803
Suppose -3*n = w - n, 0 = 4*w + 4*n. Suppose 11*p = -w*p + 44. Find r, given that 8*r**3 - 17*r**2 + 7*r**2 - 6*r**4 + p*r + 4*r**4 = 0.
0, 1, 2
Let q(a) be the first derivative of a**3/12 + 31*a**2/2 - 128*a + 661. Find b such that q(b) = 0.
-128, 4
Determine s, given that 4*s**3 + 181*s**4 + 5*s**3 - 12*s - 178*s**4 + 3*s**3 + 3*s**2 - 12 + 6*s**2 = 0.
-2, -1, 1
Let s = -116270/3 - -813905/21. Solve -1/7*f**4 + 0 - 3/7*f - f**2 - s*f**3 = 0 for f.
-3, -1, 0
Suppose 3125*o - 1645*o = 0. Suppose 4 + 11/2*s**2 + o*s**3 - 9*s - 1/2*s**4 = 0. Calculate s.
-4, 1, 2
Let m(q) be the first derivative of 25*q**6/6 - 43*q**5 + 85*q**4/4 + 295*q**3/3 - 55*q**2 - 80*q + 1003. Let m(w) = 0. Calculate w.
-1, -2/5, 1, 8
Let k(n) = -2*n**2 + 3*n + 2. Let v(y) = y**2 + 36*y - 1. Let m(q) = 12*k(q) + 3*v(q). Factor m(c).
-3*(c - 7)*(7*c + 1)
Let u(j) = -j. Let v(m) = -2*m**3 - 204*m**2 + 210*m. Let c(h) = 4*u(h) + v(h). Factor c(l).
-2*l*(l - 1)*(l + 103)
Suppose -18/7 + 12/7*b**2 + 3/7*b + 3/7*b**3 = 0. Calculate b.
-3, -2, 1
Solve 96/5*i - 23/10*i**3 + 59/5*i**2 - 144/5 + 1/10*i**4 = 0 for i.
-2, 1, 12
Let u(h) = -7*h**3 - 426*h**2 - 1644*h - 1604. Let i(j) = 36*j**3 + 2133*j**2 + 8226*j + 8019. Let d(v) = -4*i(v) - 21*u(v). Factor d(r).
3*(r + 2)**2*(r + 134)
Let n = 177140 - 1594246/9. Factor 56/9*k - 4/9*k**2 - n*k**3 + 16/9.
-2*(k - 2)*(k + 2)*(7*k + 2)/9
Suppose 7*b = -15*b + 44. Suppose 4*q - 12 = b*i, 5*i - 6 = 15*q - 17*q. What is z in 3/5*z**2 - 2/5*z - 1/5*z**4 + i*z**3 + 0 = 0?
-2, 0, 1
Let r(c) = -12*c**2 + 29468*c + 58952. Let f(q) = -5*q**2 + 12630*q + 25266. Let i(n) = -16*f(n) + 7*r(n). Solve i(w) = 0.
-2, 1051
Let j(d) be the second derivative of d**6/150 - 191*d**5/100 + 3071*d**4/20 - 1729*d**3/6 - 1805*d**2 + 540*d. Factor j(f).
(f - 95)**2*(f - 2)*(f + 1)/5
Let k be (-10)/(-40)*(-280)/(-35). Solve -134/3*d**3 - 172/3*d**4 + 0*d + 52/3*d**k + 14/3*d**5 + 0 = 0 for d.
-1, 0, 2/7, 13
Let b be (210/(-50))/(9/4) - (8 + -10). Factor 14/15*q + 0 + b*q**2.
2*q*(q + 7)/15
Let s(z) be the first derivative of -17 + z**2 + 4/3*z**6 + 28/5*z**5 + 13/3*z**3 + 15/2*z**4 + 0*z. Factor s(f).
f*(f + 2)*(2*f + 1)**3
Let u(b) be the third derivative of -b**9/7560 - b**8/560 - b**7/126 - b**6/60 + 29*b**5/20 - 44*b**2. Let r(d) be the third derivative of u(d). Factor r(y).
-4*(y + 1)*(y + 3)*(2*y + 1)
Let n(h) be the second derivative of 2*h**7/63 + 14*h**6/15 + 44*h**5/5 + 308*h**4/9 + 160*h**3/3 - 68*h - 1. Determine f so that n(f) = 0.
-12, -5, -2, 0
Let c(r) be the third derivative of r**7/630 + 101*r**6/180 + 78*r**5 + 181675*r**4/36 + 1922375*r**3/18 + 7086*r**2. Determine j so that c(j) = 0.
-65, -7
Let d(m) = -m**5 + m**4 + m**3 - 7*m**2 + 2*m. Let t(f) = 4*f**5 + 46*f**4 - 174*f**3 + 88*f**2 + 232*f. Let n(p) = -9*d(p) - t(p). Factor n(i).
5*i*(i - 5)**2*(i - 2)*(i + 1)
Suppose -6*z**5 + 51*z**2 - 15*z**3 - 18*z**4 + 18*z**3 - 28*z**4 - 24*z + 3*z**2 + 19*z**4 = 0. Calculate z.
-4, -2, 0, 1/2, 1
Let o(w) = 4*w**4 - 82*w**3 + 240*w**2 - 247*w + 82. Let u(f) = -7*f**4 + 165*f**3 - 483