4 + 73*w**3/2 + 3*w - 956. Suppose r(g) = 0. What is g?
0, 73
Let r(d) be the first derivative of 4/11*d**4 + 4/11*d**5 + 1/33*d**6 - 20/33*d**3 - 9/11*d**2 - 92 + 0*d. Determine h so that r(h) = 0.
-9, -1, 0, 1
Let r(s) = s**4 + 20*s**3 - 53*s**2 - 45*s - 36. Let b(l) = 2*l**3 - 2*l**2 + 3*l. Let y(n) = -36*b(n) + 4*r(n). Let y(h) = 0. Calculate h.
-6, -1, 6
Let l be (4147/195)/(-11) + 5. Solve -94/15*d - 10/3*d**2 - 2/15*d**3 - l = 0 for d.
-23, -1
Factor -5*t**2 - 1977*t - 163*t + 0*t**2 - 117523 - 111457.
-5*(t + 214)**2
Suppose -64 = 101*t + 15*t - 644. Let y(c) be the first derivative of 19 + 1/10*c**t - 1/72*c**6 + 2/9*c**3 - 1/4*c**4 + 0*c + 0*c**2. Factor y(p).
-p**2*(p - 2)**3/12
Let s(t) = 2*t**4 - 10*t**3 + 4*t**2 + 27*t - 22. Let h(k) = k**4 - 5*k**3 + 2*k**2 + 14*k - 12. Let j(g) = 11*h(g) - 6*s(g). Factor j(x).
-x*(x - 4)*(x - 2)*(x + 1)
Let p be 1/(-5) - (-116)/(-20). Let a be (1/4)/((-1)/2)*p. Find r such that -8*r + 1438*r**2 - 1444*r**2 - 2 + 2*r - 2*r**a = 0.
-1
Let l be -1*14/(-7) + 14/(-2). Let w(d) = 23*d**3 + 8*d**2 - 8. Let n(h) = -15*h**3 - 5*h**2 + 5. Let x(m) = l*w(m) - 8*n(m). Determine y, given that x(y) = 0.
0
Suppose -12 + 90*r**2 - 94*r**2 - 106644*r + 106660*r = 0. Calculate r.
1, 3
Factor 411*f**3 + 2289*f**2 + 145655*f**2 - 91804*f + 21326 - 1507*f**3 + 588082 + 696796*f + 2*f**4.
2*(f - 276)**2*(f + 2)**2
Let h(c) = -c**2 + c + 1. Suppose 3*j - 6*j = -12. Let z(y) = -2*y**2 + 6*y. Let l(t) = j*h(t) - z(t). Solve l(n) = 0.
-2, 1
Suppose -19*s = -37 - 1. Let -19 - 7*q - q**s + 12*q - 1 + 11*q + 5*q = 0. What is q?
1, 20
Let w be 5/(7/(1 - -468)). Factor -26*z**3 + 2*z**5 + 330*z**4 - 14*z**2 - 675*z**4 + w*z**4.
2*z**2*(z - 7)*(z + 1)**2
Solve 1/2*p**2 + 0 - 1/4*p**4 - 1/4*p**3 + 0*p = 0.
-2, 0, 1
Let o = -186 - -300. Suppose -1681*z + o*z - 2277*z - 232*z**2 + 480*z - 4*z**3 = 0. Calculate z.
-29, 0
Solve 28/5*m**3 + 0 - 3/5*m**2 + 0*m = 0.
0, 3/28
Let l(c) be the third derivative of -c**7/1890 - 2*c**6/135 + c**4/12 - 101*c**3/6 - 2*c**2 + 18. Let p(t) be the second derivative of l(t). Solve p(q) = 0.
-8, 0
Let t(g) be the first derivative of -g**3/4 + 24*g**2 + 432*g + 5799. Let t(b) = 0. Calculate b.
-8, 72
Let z be (6104/4)/(0 - 2). Let g = z + 765. Let 0*r + 0 - 21/4*r**4 + 69/4*r**3 - 9/2*r**g = 0. Calculate r.
0, 2/7, 3
Let c = -23 + 29. Solve 0*v + c*v**3 + 3*v**3 - 3*v - 6*v**3 = 0 for v.
-1, 0, 1
Let l = 29 - 24. Suppose 2*u + 1 = -s, -l*s - 1 = 5*u - 4*s. Find b such that u*b - 5/2*b**3 - 2*b**4 - b**2 + 0 - 1/2*b**5 = 0.
-2, -1, 0
Factor 1/5*t**5 + 0 + 257544/5*t**3 - 176*t**4 - 50824368/5*t - 24893568/5*t**2.
t*(t - 294)**3*(t + 2)/5
Suppose -2*y - 5*u = -3*u - 2, 5*u + 11 = 3*y. Determine j so that -34*j**2 - 2*j**2 + 99*j - 22*j**2 - 39*j**2 - y = 0.
2/97, 1
Factor 6336*j + 30976/5 + 4/5*j**3 + 708/5*j**2.
4*(j + 1)*(j + 88)**2/5
Let g be 4/22 + (1904/(-187) - -10). Let j(i) be the first derivative of 9/11*i**2 + 8 - 3/22*i**4 + 12/11*i + g*i**3. Factor j(z).
-6*(z - 2)*(z + 1)**2/11
Let w = 514 - 354. Suppose 54*a - 59*a = -w. Let 0*b**5 + 6*b**4 - 16 + 0*b**5 - 2*b**4 - 4*b**5 - a*b - 4*b**2 + 20*b**3 = 0. What is b?
-1, 2
Let i(s) be the third derivative of s**5/60 + 175*s**4/24 + 324*s**2 - 8*s. Factor i(m).
m*(m + 175)
Suppose -14*z + 225 = -27. Solve -6*d**2 - 123*d - z*d**2 + 27*d**2 = 0.
0, 41
Let f(a) be the third derivative of -9/160*a**6 + 0*a**3 - 43 + 0*a**4 - 33/140*a**7 - 121/448*a**8 + 0*a + 2*a**2 + 0*a**5. Suppose f(c) = 0. What is c?
-3/11, 0
Find i, given that -55/3*i**2 - 1/6*i**3 - 109/6*i + 0 = 0.
-109, -1, 0
Let s = -333 - -338. Let a be s/(30/(-4)) - 4/(-6). Let -5/2*r + a - 1/2*r**2 = 0. What is r?
-5, 0
Let r = 148 + -116. Suppose 34*d - 26 = r*d. Solve -12 + 49*h - 21*h - d*h - 2*h**2 - 29*h = 0.
-6, -1
Let u(s) = -10*s**2 + 2614*s - 112. Let k(p) = -2*p**2 + 523*p - 21. Let r(v) = -16*k(v) + 3*u(v). Determine c so that r(c) = 0.
0, 263
Let f(k) be the second derivative of -6*k**3 + 1/5*k**5 + k + 81/8*k**2 + 23/24*k**4 + 1/120*k**6 - 40. Find j such that f(j) = 0.
-9, 1
Let b be (90/(-36))/((-20)/144). Suppose -574*d = -568*d - b. Factor -6*x + 0*x**d + 9/4 + 9/2*x**2 - 3/4*x**4.
-3*(x - 1)**3*(x + 3)/4
Suppose 34*u - 29*u - 5 = 0. Solve -170*z - u + 34 + 0 + 9 + 8*z**2 = 0 for z.
1/4, 21
Let w(h) be the second derivative of 4 - 32*h + 65/3*h**3 - 5/12*h**4 - 845/2*h**2. Let w(d) = 0. What is d?
13
Let v(r) be the third derivative of -r**6/20 - 41*r**5/12 + 22*r**4/3 + 35*r**3/6 - 4419*r**2. Suppose v(w) = 0. Calculate w.
-35, -1/6, 1
Let w be 9/(-54) - 364/(-24). Factor 11*d**5 - 11*d**5 - w*d**3 + 10*d**4 - 5*d**2 - 15*d**2 + 20*d + 5*d**5.
5*d*(d - 1)**2*(d + 2)**2
Let v(u) be the first derivative of 30*u**3 - 201*u**2/2 + 66*u + 710. Factor v(a).
3*(5*a - 2)*(6*a - 11)
Let g(a) be the second derivative of a**7/21 - 2*a**6/5 + 11*a**5/10 - a**4/3 - 4*a**3 + 8*a**2 + 4*a - 74. Determine p so that g(p) = 0.
-1, 1, 2
Suppose 0 = 4*f - 3*t - 343, -4*f + 353 = t - 6*t. What is j in -32*j**2 - 7*j + 76*j**3 - 13*j**2 - f*j**3 - 14*j = 0?
-7, -1/2, 0
Let q(r) be the first derivative of -170*r**3/3 - 2*r**2/9 + 7866. Factor q(w).
-2*w*(765*w + 2)/9
Factor 7*h**4 + 44 - 110*h - 6*h - 222*h**3 + h**4 - 172*h + h**4 + 541*h**2.
(h - 22)*(h - 2)*(3*h - 1)**2
Suppose -7554*d + 15057*d - 174 - 7530*d + d**2 + 14 = 0. Calculate d.
-5, 32
Suppose -3*s - 6 + 18 = 0. Suppose 4*k - 3*x = 2, -2*k - 2*k + s*x = 0. Find r such that -29*r**2 + 24*r**k + 3*r + 26*r + 6*r = 0.
0, 7
Suppose -z**3 + 174*z - 4*z - 77*z + 63*z**2 + 95*z + 10*z = 0. What is z?
-3, 0, 66
Let m be (395/(-45) + 9)/((-48)/(-27)). Suppose 3*i - 8 - 1 = -q, i - 3*q = 3. Let 0*l**2 + 1/8*l - m*l**i + 0 = 0. Calculate l.
-1, 0, 1
Let u(h) be the first derivative of -4*h**2 - 79 - 2*h**4 + 2/5*h**5 - 14*h**3 + 56*h. Factor u(o).
2*(o - 7)*(o - 1)*(o + 2)**2
Let b(r) be the first derivative of -2*r**3/3 + 488*r**2 - 119072*r + 5537. Suppose b(v) = 0. Calculate v.
244
Suppose -3*h + 54 = 48. Factor 40 - 71*g**2 - 71*g**2 + 146*g**h + 44*g.
4*(g + 1)*(g + 10)
Let f(n) = n**2. Let o(m) = 2*m**2 + 6*m + 3. Let a be o(-3). Let d = 5 - a. Let g(b) = -10*b**2 + 4*b - 4. Let x(z) = d*g(z) + 18*f(z). Factor x(s).
-2*(s - 2)**2
Let n = -23294 + 23298. Let x(d) be the third derivative of 0 - 5/12*d**n - 32*d**2 - 1/12*d**5 - 5/6*d**3 + 0*d. Factor x(b).
-5*(b + 1)**2
Let p(j) = -1348*j**2 - 2535*j + 52. Let t(y) = -9470*y**2 - 17745*y + 365. Let c(s) = -15*p(s) + 2*t(s). Factor c(u).
5*(u + 2)*(256*u - 5)
Suppose 3*v = v - 6*v - 15*v. Let m(c) be the first derivative of 23 + 2*c**4 + v*c - 4/5*c**5 + 4/3*c**3 - 4*c**2. Let m(y) = 0. What is y?
-1, 0, 1, 2
Let l(h) be the third derivative of -3/190*h**5 + 0 + 0*h - 7/1140*h**6 + 1/114*h**4 + 3/665*h**7 + 5/3192*h**8 + 0*h**3 + 205*h**2. Let l(f) = 0. What is f?
-2, -1, 0, 1/5, 1
Let n(k) = -9*k**2 - 192*k + 3255. Let a = 389 - 395. Let x(z) = 7*z**2 + 193*z - 3257. Let c(j) = a*x(j) - 5*n(j). Factor c(y).
3*(y - 33)**2
What is l in 85/6*l**2 - 5/3*l**3 - 15 - 45/2*l = 0?
-1/2, 3, 6
Let l(s) be the third derivative of -s**5/150 - 3*s**4/20 - 14*s**3/15 + 2062*s**2. Factor l(y).
-2*(y + 2)*(y + 7)/5
Suppose 4*o = 8*o - 56. Let q be -1 - (-1)/(2/o + 0). Factor -3 + q + 4*w - 9 - w + 3*w**2.
3*(w - 1)*(w + 2)
Let r(w) be the first derivative of -149 + 33/2*w**2 + 1/6*w**3 + 1089/2*w. Factor r(t).
(t + 33)**2/2
Factor 284/3*a**2 - 640*a - 25600/3 - 1/3*a**4 + 4*a**3.
-(a - 16)**2*(a + 10)**2/3
Let u be (14/42)/(2 + (-2)/3). Let y = 6303/2 + -3151. Factor 0 + y*r + u*r**2.
r*(r + 2)/4
Let n(t) be the first derivative of t**5/6 - 17*t**4/4 - 25*t**3/6 + 64*t**2/3 - 14*t - 10589. Solve n(p) = 0 for p.
-2, 2/5, 1, 21
Let g(s) = -4*s**2 + 184*s - 2120. Let f(u) = 19. Let j(h) = -3. Let x(b) = -f(b) - 6*j(b). Let r(k) = g(k) - 4*x(k). Let r(d) = 0. Calculate d.
23
Let a(p) = -p**3 + 15*p**2 - 43*p - 8. Let x be a(11). Let m(s) be the first derivative of 1/9*s**x + 0*s**2 + 0*s + 10. Factor m(t).
t**2/3
Suppose -97*b - 10*b = 0. Let b*f**3 - 3*f**2 + 4 - 4/3*f + 1/3*f**4 = 0. Calculate f.
-2, 1, 3
Let r(j) be the third derivative of 7*j**7/30 - 7*j**6/5 - 146*j**5/15 + 52*j**4 + 1352*j**3/3 + 4*j**2 + 46. Determine m, given that r(m) = 0.
-2, 26/7
Let k(z) be the first derivative of -5/