 1/4*h**5.
(h + 1)**5/4
Let w(j) = j**3 - 5*j. Let a(q) = -q**3 + 6*q + 1. Suppose 3*r = -10 + 19. Let d(u) = r*w(u) + 2*a(u). Let d(b) = 0. What is b?
-2, 1
Let g be (10/(-35))/1*(-21)/72. Let v(s) be the first derivative of -1/2*s - g*s**3 + 3/8*s**2 - 5. Factor v(a).
-(a - 2)*(a - 1)/4
Let g(q) = -4*q + 65. Let w be g(15). Factor 2*l + 4*l**4 - 4*l**2 + 0*l**2 + 10*l**5 - 16*l**w + 4*l**5.
-2*l*(l - 1)**3*(l + 1)
Let c(t) be the third derivative of t**7/147 + 4*t**6/105 + 3*t**5/70 - 5*t**4/42 - 8*t**3/21 - 127*t**2. Determine k so that c(k) = 0.
-2, -1, 4/5
Factor -5756*l + 3*l**3 + 5756*l - 24*l**2.
3*l**2*(l - 8)
Let n(m) be the third derivative of m**6/45 + 7*m**5/30 + 7*m**4/12 + 4*m**3/9 - 520*m**2. Find q, given that n(q) = 0.
-4, -1, -1/4
Let c = -8045 + 8049. Let 4/3*s**c + 0 + 0*s - 4/3*s**2 - 1/3*s**3 + 1/3*s**5 = 0. What is s?
-4, -1, 0, 1
Let b(y) be the third derivative of -y**6/60 + 2*y**5/15 - y**4/4 - 126*y**2. Factor b(l).
-2*l*(l - 3)*(l - 1)
Let s = -2 + 0. Let i be -2 + s*21/(-15). Factor -i*k + 2*k**4 + 2/5*k**2 + 16/5*k**3 + 0.
2*k*(k + 1)**2*(5*k - 2)/5
Let t(c) be the third derivative of 33*c**2 + 1/132*c**4 + 2/1155*c**7 + 0*c - 1/1848*c**8 + 0*c**6 + 0*c**3 - 1/165*c**5 + 0. Let t(m) = 0. What is m?
-1, 0, 1
Determine j so that -2/7 - 12/7*j + 30/7*j**2 - 16/7*j**3 = 0.
-1/8, 1
Let s(f) = -20*f - 111. Let g be s(-21). Let x = 309 - g. Factor 4/15*b**2 + 2/15*b**4 - 2/5*b**3 + x + 0*b.
2*b**2*(b - 2)*(b - 1)/15
Let w(g) = 92*g + 1751. Let o be w(-19). Solve 2/9*v**5 - 8/9*v + 2/9*v**o + 20/9*v**2 - 8/9*v**4 - 16/9 = 0.
-1, 2
Let f(c) = -c**3 + c**2 - 2*c - 1. Let w(t) = -t**3 + 13*t**2 - 8*t + 2. Let m(r) = 2*f(r) + w(r). Let m(o) = 0. Calculate o.
0, 1, 4
Let n = -24 + 26. Let -t**2 - 3*t**n + 8*t**2 + 8*t - 4*t**3 = 0. Calculate t.
-1, 0, 2
Let h be 2/6 - 12/36. Suppose h = f - 4*f + 2*b + 13, 4*f + 4*b = 4. Let 5*g**4 - 4*g - 3*g**f - 3*g**4 - g**4 - 5*g**2 + g**5 + 2*g = 0. Calculate g.
-1, 0, 2
Suppose -16*c**2 + 867 - 797 + 41*c**2 - 185*c = 0. What is c?
2/5, 7
Let v(c) = c + 3. Let t be v(-6). Let n be (-20)/(-45)*t - -2. Factor -2/3*w + 2/3 + 2/3*w**3 - n*w**2.
2*(w - 1)**2*(w + 1)/3
Let l(a) be the first derivative of -5*a**4/4 - 65*a**3/3 - 55*a**2 + 683. Let l(o) = 0. What is o?
-11, -2, 0
What is h in 0 + 52/5*h**3 + 12*h**4 + 0*h - 8/5*h**2 = 0?
-1, 0, 2/15
Let j(d) be the second derivative of d**5/30 + d**4/6 - d**3 + 5*d**2/3 + d - 1. Let j(r) = 0. Calculate r.
-5, 1
Let u be 12/(-18) + 346/6. Let l be u/11 + (-22)/121. What is f in 0*f**2 + 0*f - 1/3*f**l + 0 - 1/3*f**4 + 0*f**3 = 0?
-1, 0
Let j(s) be the third derivative of -1/4*s**4 + 0 - 25*s**2 + 2/3*s**3 - 1/105*s**7 + 1/20*s**6 - 1/30*s**5 + 0*s. Find a, given that j(a) = 0.
-1, 1, 2
Let q(x) be the second derivative of 2*x**6/5 - 17*x**5/5 + 31*x**4/3 - 46*x**3/3 + 12*x**2 + x - 131. Factor q(a).
4*(a - 3)*(a - 1)**2*(3*a - 2)
Let j(q) be the second derivative of q**5/50 + q**4/15 + 3*q - 27. Factor j(m).
2*m**2*(m + 2)/5
Let l(m) be the third derivative of -m**6/24 + 3*m**5/40 + m**4/4 + m**3 + 5*m**2. Let w(s) be the first derivative of l(s). Determine y so that w(y) = 0.
-2/5, 1
Suppose 0 = 4*q + 8, f + 2*q = -49 + 47. Factor 5/12*t + 1/12*t**f + 1/3.
(t + 1)*(t + 4)/12
Let i(v) be the first derivative of 4*v**3/3 + 88*v**2 + 172*v + 327. Find z, given that i(z) = 0.
-43, -1
Let l = -2404 + 2405. Solve -1/3*o**3 + 1/3*o - l + o**2 = 0.
-1, 1, 3
Let i(c) be the third derivative of 19/12*c**4 - 13*c**2 + 0 + 3/20*c**6 + 7/10*c**5 + 1/105*c**7 + 2*c**3 + 0*c. Suppose i(d) = 0. What is d?
-6, -1
Let x = 8003/6 - 4000/3. Determine t, given that -1/4*t**2 - 1/4 + x*t = 0.
1
Suppose 5*w + 3 = 3*r, -3*w + 5*r - 4 = 1. Let m = -327444/11 - -29768. Solve -m*x + w - 2/11*x**2 = 0 for x.
-2, 0
Suppose 2*m**2 - 2*m**4 - 8*m**3 - 4*m + 0*m + 3*m**2 - 15*m**2 = 0. Calculate m.
-2, -1, 0
Suppose -30 = -2*j - 4*n, 12 = -4*j - 15*n + 19*n. Let 4/15*s**2 + 2/5*s + 2/15 - 2/15*s**5 - 4/15*s**j - 2/5*s**4 = 0. What is s?
-1, 1
Let n = 96 + -670/7. Let f be 3/(-6) + (-129)/(-42). Factor n*g**2 - 12/7*g + f.
2*(g - 3)**2/7
Let s be (-234)/52*(-2)/(-3). Let v be (2 - 129/27) + (-9)/s. Factor 0 + 0*c**2 + v*c**5 - 4/9*c**4 + 2/9*c**3 + 0*c.
2*c**3*(c - 1)**2/9
Suppose 188*j - 17 = 275 + 84. Factor 1/3*b**4 + 0*b + b**j + 5/3*b**3 - 1/3*b**5 + 0.
-b**2*(b - 3)*(b + 1)**2/3
Suppose 0 = -3*c + 2*s + 7, 0*c + 2 = -2*c - 2*s. Let d be (0/((-4)/(-4) + 1))/c. Solve d + 2/13*q**2 + 2/13*q**3 + 0*q = 0.
-1, 0
Let j(l) be the second derivative of 0 - 8/51*l**3 + 1/102*l**4 + 16/17*l**2 + 10*l. Factor j(x).
2*(x - 4)**2/17
Let s(y) be the third derivative of y**6/2340 - y**5/30 + 13*y**4/12 + 8*y**3 + 7*y**2. Let k(g) be the first derivative of s(g). Solve k(p) = 0.
13
Let a be -4*5/(-40)*-76. Let z be (-8)/10 + a/(-19). Factor -2/5*h + 2/5*h**4 - z*h**2 + 4/5 + 2/5*h**3.
2*(h - 1)**2*(h + 1)*(h + 2)/5
Let d(c) be the first derivative of -36*c**5/25 + 3*c**4/10 + 8*c**3/15 - c**2/5 + 209. Find j such that d(j) = 0.
-1/2, 0, 1/3
Let x(u) be the third derivative of u**6/24 + 5*u**5/12 - 5*u**4/2 - 30*u**3 - 2*u**2 + 113. Factor x(w).
5*(w - 3)*(w + 2)*(w + 6)
Let d(s) be the second derivative of 2*s - 50/7*s**2 - 26/21*s**4 - 145/21*s**3 - 1/14*s**5 + 12. Determine k so that d(k) = 0.
-5, -2/5
Let f = 1/1118 - -262/19565. Let h(s) be the third derivative of 0*s - 3/40*s**6 + 9*s**2 + f*s**7 + 0 + 0*s**4 + 1/10*s**5 + 0*s**3. What is w in h(w) = 0?
0, 1, 2
Let i(z) be the first derivative of -3 + 4*z - 1/2*z**4 + 0*z**3 - 3/20*z**5 + 0*z**2. Let x(q) be the first derivative of i(q). Suppose x(p) = 0. Calculate p.
-2, 0
Let l(z) be the third derivative of z**6/270 - 107*z**5/45 + 11449*z**4/18 - 2450086*z**3/27 - 9*z**2 - z. Suppose l(s) = 0. Calculate s.
107
Let v = -95 + 92. Let n be ((-17)/5 - v) + (-130)/(-75). Factor 4/3 - 1/3*d**3 - n*d**2 + 1/3*d.
-(d - 1)*(d + 1)*(d + 4)/3
Let o(a) = -2*a**3 + 52*a**2 - 52*a + 54. Let d be o(25). Let k(v) be the third derivative of -1/60*v**d - 1/150*v**5 + 0 + 0*v**3 + 3*v**2 + 0*v. Factor k(z).
-2*z*(z + 1)/5
Let v(t) = -4*t**2 - 781*t - 30969. Let w(s) = -4*s**2 - 770*s - 30970. Let c(x) = -6*v(x) + 7*w(x). Find l such that c(l) = 0.
-88
Factor -2779*n**2 - 118*n**3 - 1065*n**2 - 4*n**4 - 130*n**3.
-4*n**2*(n + 31)**2
Let s be (744/(-1023))/((-18)/11). Factor s + 10/9*d**3 + 14/9*d + 2/9*d**4 + 2*d**2.
2*(d + 1)**3*(d + 2)/9
Let q be (3/(-3))/((-7)/(-35) - 49/70). Solve 8/9*v**5 + 4/9*v**q - 2/9*v**4 - 16/9*v**3 - 2/9 + 8/9*v = 0 for v.
-1, 1/4, 1
Suppose 4*z + 5*x + 137 = 4*x, x = -2*z - 67. Let y = -35 - z. Factor y*u**2 - 2/7*u**5 + 0 + 2/7*u**4 + 0*u**3 + 0*u.
-2*u**4*(u - 1)/7
Let d(l) be the third derivative of 2*l**7/105 - 4*l**6/15 - 2*l**5 - 16*l**4/3 - 22*l**3/3 + 3*l**2 + 15. Determine m so that d(m) = 0.
-1, 11
Factor -6*r + 0 - 5/2*r**2 - 1/4*r**3.
-r*(r + 4)*(r + 6)/4
Solve 20/11 - 54/11*q + 6/11*q**3 - 20/11*q**2 = 0.
-2, 1/3, 5
Let h be (-2)/(-8)*(-15 + 17) - 6/(-4). Let 0*b**4 + 24/5*b - 8/5*b**h + 0 - 18/5*b**3 + 2/5*b**5 = 0. Calculate b.
-2, 0, 1, 3
Let t = -95/84 + 37/28. Let x = t - -1/7. Find f such that x*f**2 + 0 + 0*f = 0.
0
Suppose -4*r = -3*t - 37, -r - 5 = 5*t - t. Suppose 0*s**3 + r*s**3 - 3*s**2 - 6*s**3 - 3 + 2*s**2 - 5*s = 0. Calculate s.
-1, 3
Let j be ((-2)/4*6 - -3) + 4. Factor -95 - s**j + 47 - s**2 - 3*s + 3*s**3 + 50.
-(s - 2)*(s - 1)**2*(s + 1)
Let k(v) be the second derivative of v**7/2100 - 7*v**6/900 + 2*v**5/75 + 2*v**4/3 - 3*v. Let a(g) be the third derivative of k(g). Solve a(c) = 0 for c.
2/3, 4
Let y(o) be the second derivative of o**6/120 - o**5/40 - o**4/12 + o**3/3 - 15*o. Factor y(q).
q*(q - 2)**2*(q + 2)/4
Let q = -2379/10 - -238. Let x(k) be the first derivative of -4 + k**2 + 2/25*k**5 - q*k**4 - 2/5*k**3 - 4/5*k. Suppose x(j) = 0. Calculate j.
-2, 1
Let z = 931/34 - 440/17. Factor 3/4*b**2 + 0 + 3/4*b**3 - z*b.
3*b*(b - 1)*(b + 2)/4
Let d(v) be the first derivative of 1/12*v**5 - 4/3*v**3 + 0*v - 5/24*v**4 - 1/72*v**6 - 4 + 0*v**2. Let c(x) be the third derivative of d(x). Factor c(y).
-5*(y - 1)**2
Let k(t) = t**3 - 3*t**2 - 34*t + 96. Let s be k(6). Determine a so that 1/5*a**5 + 0*a**4 + s + 0*a - 1/5*a**3 + 0*a**2 = 0.
-1, 0, 1
Let g = 248 - 246. Suppose 0*f - 2*f = -5*