19*r**2 - 111*r. Factor w(h).
-(h - 161)*(h - 8)
Let a(h) be the second derivative of -h**5/4 - 35*h**4/4 - 335*h**3/3 - 600*h**2 + 15*h - 165. Let a(d) = 0. Calculate d.
-10, -8, -3
Let i be (-6)/9 + (-12)/(-18). Suppose 4*p + 5 = 3*g + 13, -2*p + 10 = i. Suppose 4*h**2 - 7/4*h**g + 0 - 5/4*h**3 - h = 0. What is h?
-2, 0, 2/7, 1
Suppose -5 + 5 = 31*b. Suppose -3*f + 2*f = -i - 4, 4*f - 16 = b. Factor 24/7*l**3 + 0 + 16/7*l**2 + i*l + 12/7*l**4 + 2/7*l**5.
2*l**2*(l + 2)**3/7
Suppose -8*f = -7*f - 1, -5*o - f = -1501. Solve o*m**2 - 335*m**2 + 4*m**3 + m**3 = 0 for m.
0, 7
Find m such that -17/5*m**5 - 38*m**2 + 72/5*m - 89*m**3 - 40*m**4 + 0 = 0.
-9, -2, -1, 0, 4/17
Find x, given that 18*x + 35 + 1/4*x**2 = 0.
-70, -2
Let a(j) be the first derivative of 183 - 2/5*j**5 - 4/39*j**6 - 3/26*j**4 + 0*j + 0*j**3 + 0*j**2. Factor a(v).
-2*v**3*(v + 3)*(4*v + 1)/13
Suppose 2/11*g**4 + 42/11*g**3 + 0 + 18*g + 238/11*g**2 = 0. Calculate g.
-11, -9, -1, 0
Find g, given that -2/13*g**2 + 168/13 - 10/13*g = 0.
-12, 7
Let y be 2/(-12)*(20/5 - 6). Let p = -454 + 1364/3. Find c, given that -1/3*c + p - y*c**2 = 0.
-2, 1
Suppose 5*b = -2*u, -b + 0*b = 4*u + 18. Let v be (-765)/(-306)*((-2)/b)/(-3). Factor 1/6*g**2 - v*g + 0.
g*(g - 5)/6
Suppose 4*p + 294 = -y + 306, 0 = -3*p + 5*y - 14. Determine n so that -16/5 + 76/5*n**p - 12*n = 0.
-4/19, 1
Let j(v) be the first derivative of -2*v**2 - 5/9*v**3 - 50 + 3*v. Determine n so that j(n) = 0.
-3, 3/5
Let t(z) be the first derivative of 146 - 1/18*z**4 + 4/9*z**2 + 0*z + 0*z**3. Find b, given that t(b) = 0.
-2, 0, 2
Let p be 2/(-10) - (-536)/(-20). Let o be ((-9)/p - 0/3) + 5. Find d such that -8/3*d**4 + 0 + 8*d**3 - 32/3*d**2 + o*d + 1/3*d**5 = 0.
0, 2
Let h(x) be the first derivative of x**3/21 - 16*x**2/7 - 68*x/7 + 1115. Let h(q) = 0. What is q?
-2, 34
Let o = -134 + 134. Let u be (-42)/(-84)*(0/2 - o). Factor 0 + 1/11*x - 1/11*x**3 + u*x**2.
-x*(x - 1)*(x + 1)/11
Suppose 8*i = -3*q + 4*i - 45, -5*i = 15. Let s be (4/(-7))/(q/((-1078)/(-84))). What is v in -16/3*v - s*v**2 + 6 = 0?
-9, 1
Suppose 82*s = 87*s - 20. Factor 20*v**2 + 78*v**3 + 269*v**s - 137*v**4 - 140*v**4.
-2*v**2*(v - 10)*(4*v + 1)
Let g be 51740/(-4225) + ((-6)/5)/2. Let k = -1421/143 - g. Determine c so that -80/11*c**3 + 0*c - k*c**2 - 6/11*c**5 + 0 + 46/11*c**4 = 0.
-1/3, 0, 4
Factor -72713798952 + 30542568*a - 24861482*a - 52633313*a - 3*a**3 + 9507*a**2 - 28424897*a - 35553*a**2.
-3*(a + 2894)**3
Let z = -30 - -32. Find s, given that 4*s**3 - 28*s - 8*s**2 - 28*s - 74 + 10 - z*s**3 = 0.
-2, 8
Let u(q) = -q**2 - 10. Let a(h) = -369*h + 30. Let l(p) = -a(p) - 3*u(p). Factor l(o).
3*o*(o + 123)
Let f(o) be the third derivative of o**5/100 - 43*o**4/40 + 41*o**3/5 - 22*o**2 + 45*o. What is i in f(i) = 0?
2, 41
Let o(t) be the second derivative of -2*t**5/15 - 19*t**4/36 - t**3/3 - 864*t + 1. Factor o(h).
-h*(h + 2)*(8*h + 3)/3
Let d(o) be the second derivative of o**7/154 - 34*o**6/165 + 89*o**5/220 + 29*o**4/11 - 42*o**3/11 + 1180*o. Find z, given that d(z) = 0.
-2, 0, 2/3, 3, 21
Let -2/3*v**2 + 32/3 + 1/3*v**3 - 16/3*v = 0. What is v?
-4, 2, 4
Let j be 20/12 + 28/21. Factor 15*w - 16*w**4 - 33*w - 20*w**j + 18*w.
-4*w**3*(4*w + 5)
Suppose 5*o - 19 = -q, 0 = 3*o - 2*o - 3*q + 9. Suppose o*w + 2*z = -2, 5*w = z + z + 18. Solve -7*s**2 - s**2 + 2*s**2 + w*s**3 + 8 = 0.
-1, 2
Let p(m) = 42*m + 187. Let j be p(-25). Let g = j + 867. Find x, given that 28/3*x + 8/3 + g*x**2 = 0.
-2, -1/3
Let -18/5*w**2 - 2*w + 2/5*w**4 + 0 - 6/5*w**3 = 0. Calculate w.
-1, 0, 5
Let g = -67536 + 67538. Find t such that 2/13*t**4 + 14/13*t**3 + 10/13*t**g - 14/13*t - 12/13 = 0.
-6, -1, 1
Factor -1/6*a**2 + 275/3 + 91/2*a.
-(a - 275)*(a + 2)/6
Let n = 390382 - 390379. Let -3*j**2 + 1/2*j**3 + 11/2*j - n = 0. Calculate j.
1, 2, 3
Let h(i) be the first derivative of -64/3*i**3 + 32/3*i**4 + 0*i + 1/9*i**6 - 258 + 0*i**2 - 28/15*i**5. Factor h(t).
2*t**2*(t - 6)*(t - 4)**2/3
Let y be (11/33)/((-2)/66). Let o(k) = k**2 + 11*k + 8. Let z be o(y). Factor -2*m**4 - 55 - z*m**3 + 55 - 6*m**2.
-2*m**2*(m + 1)*(m + 3)
Let k(a) = -a**3 + 2*a**2 - 15. Let f(u) = 2*u**2 - 10. Let r(h) = 6*f(h) - 4*k(h). Determine s so that r(s) = 0.
-1, 0
Suppose -162/7*l + 87/7*l**2 - 3/7*l**4 + 78/7*l**3 + 0 = 0. What is l?
-2, 0, 1, 27
Let r(z) = 3*z**3 + 1178*z + 5 + 3*z**2 - 587*z - 590*z. Let b(v) = v**3 + v**2 + 1. Let y(a) = -4*b(a) + r(a). Factor y(q).
-(q - 1)*(q + 1)**2
Let n(o) be the first derivative of 171/2*o**4 - 224*o**3 + 0*o + 1/2*o**6 + 192*o**2 + 236 - 57/5*o**5. Factor n(f).
3*f*(f - 8)**2*(f - 2)*(f - 1)
Determine c so that -2/11*c**2 + 2/11*c**3 - 18/11*c + 18/11 = 0.
-3, 1, 3
Let m(k) be the first derivative of 0*k - 5/8*k**2 + 43 - 1/16*k**4 + 1/2*k**3. Solve m(h) = 0.
0, 1, 5
Suppose -45 = -5*q + 5*v, 0 = 3*q - 4*v - 20 - 3. Suppose -2*u + 12 = 0, 21*i = 23*i + 3*u - 32. Solve 9*w - q + i - 1 + w**2 - 15*w = 0 for w.
-1, 7
Let b be (214*20/420 - 10)/((-4)/(-570)). Suppose -2/7*a**5 - 100/7*a - 114/7*a**3 + 0 + b*a**2 + 26/7*a**4 = 0. What is a?
0, 1, 2, 5
Let y be -6 + (-8 - (-6307)/448). Let r(b) be the third derivative of 17*b**2 + 0 + 1/160*b**5 + 1/320*b**6 - y*b**4 + 0*b + 3/16*b**3. Factor r(u).
3*(u - 1)**2*(u + 3)/8
Factor -80/9*d + 19/9*d**3 + 758/9*d**2 + 0.
d*(d + 40)*(19*d - 2)/9
Let f(r) be the third derivative of 1/39*r**3 + 4/65*r**5 + 0 - 31*r**2 - 4/195*r**6 - 3/52*r**4 + 0*r. Solve f(s) = 0 for s.
1/4, 1
Solve -8*p - 5*p - 20*p**2 + 12*p**4 + 20*p**5 - 14*p**3 + 6*p**2 - p**3 + 10*p = 0 for p.
-3/5, -1/2, 0, 1
Let m = -12/77 + 683/924. Let z = m + 1/60. Let z*s + 0 + 3/5*s**3 + 6/5*s**2 = 0. Calculate s.
-1, 0
Let k(r) be the second derivative of -10*r + 73/15*r**6 + 0*r**2 - 1/5*r**5 + 2/3*r**3 + 4 - 73/6*r**4. Factor k(g).
2*g*(g - 1)*(g + 1)*(73*g - 2)
Let p(n) be the first derivative of -n**3/4 - 147*n**2/8 - 960. Determine r, given that p(r) = 0.
-49, 0
Let x be 6 + 3 + 2*45/(-10). Let d(l) be the third derivative of x*l + 0 - 3/10*l**6 - 2/35*l**7 - 1/20*l**5 + 3/2*l**4 - 32*l**2 - 2*l**3. Solve d(a) = 0.
-2, 1/2
Suppose -607*y = 317 - 3352. Let l = 0 - -2. Find m, given that y + 5/2*m**l + 15/2*m = 0.
-2, -1
Let o(w) = -w**2 - w + 1. Let t(d) = 25*d**2 + 25*d - 20. Let j be 0*(-1)/(-2)*-1. Suppose -3*h - 37 + 34 = j. Let n(i) = h*t(i) - 20*o(i). Factor n(v).
-5*v*(v + 1)
Let s = 2156/5 - 6463/15. Let u(f) be the second derivative of -s*f**3 + 8*f + 1/12*f**4 + 0 + 0*f**2. Factor u(d).
d*(d - 2)
Let q(p) = -5*p**4 - 2*p**3 + 3*p**2 - 16*p - 4. Let s(t) = -16*t**4 - 8*t**3 + 11*t**2 - 49*t - 13. Let m(a) = 13*q(a) - 4*s(a). Factor m(b).
-b*(b - 4)*(b - 3)*(b + 1)
Determine v, given that -531*v**2 - 25 + 22 - 189 + 102*v + 534*v**2 - 141 = 0.
-37, 3
Factor 1668*w**4 - 417*w**2 + 1684*w**4 - 3355*w**4 - 114*w**3 - 306*w.
-3*w*(w + 1)*(w + 3)*(w + 34)
Let u be -4*((-10)/(-10) - 19/4). What is i in 0*i**2 - u + 62 + 35*i + 3 + 5*i**2 = 0?
-5, -2
Let -36/7*j**5 - 88/7*j + 17/7*j**4 + 250/7*j**3 + 12/7 + 97/7*j**2 = 0. What is j?
-2, -1, 2/9, 1/4, 3
Let z(d) be the third derivative of -d**6/72 - d**5/12 - 35*d**3/6 + 260*d**2. Let q(g) be the first derivative of z(g). Let q(m) = 0. Calculate m.
-2, 0
Let a be 340/30 - 5 - 4/(-6). Let i be 2/(-3)*(a - 940/130). Solve i*h**3 + 0 - 12/13*h**2 + 0*h = 0.
0, 6
Let j be (-60)/(-180) - (-4 + 25/6). Let l(y) be the first derivative of -j*y**3 - 16 + 1/4*y**2 + 0*y. Determine c so that l(c) = 0.
0, 1
Let v(f) be the second derivative of -1/2*f**4 + 0 + 0*f**2 + 3/20*f**5 + 16*f + 1/2*f**3. Factor v(o).
3*o*(o - 1)**2
Let o(r) be the first derivative of r**4/5 - 17*r**3/15 + 8*r**2/5 - 3*r/5 + 1074. Factor o(l).
(l - 3)*(l - 1)*(4*l - 1)/5
Determine a so that 12*a**4 + 168*a**3 - 6*a**4 + 104*a**3 + 568*a - 844*a**2 - 2*a**4 = 0.
-71, 0, 1, 2
Let t be (-4)/(64/(-92)) + -3 + (-45)/60. Factor 0 - 8/3*v - 2*v**t + 2/3*v**3.
2*v*(v - 4)*(v + 1)/3
Let f(p) be the second derivative of -p**6/30 + 11*p**5/5 - 41*p**4/3 + 80*p**3/3 - p + 2059. Find h such that f(h) = 0.
0, 2, 40
Let h(z) be the first derivative of 1/12*z**4 + 18*z**2 - 26 + 2*z**3 - 25*z. Let b(y) be the first derivative of h(y). Factor b(s).
(s + 6)**2
Suppose -203*i + 194*i = -189. Let n be (675/i)/(-15) - (-9)/3. Let -24/7*x**2 - n*x**3 - 8/7*x 