 Suppose f*l - 219 - 327 = 2*h, 2 = h. Factor -78*t**2 + l*t**3 + 5*t - 6*t**2 + 7*t - 80*t**3 - 150*t**4.
-3*t*(2*t - 1)*(5*t - 2)**2
Let f(j) be the first derivative of j**4/34 - 94*j**3/51 + 616*j**2/17 - 2904*j/17 + 768. Factor f(s).
2*(s - 22)**2*(s - 3)/17
Let a(b) be the second derivative of -3/14*b**3 + 3/7*b**2 - 36*b + 0 + 1/28*b**4. Factor a(c).
3*(c - 2)*(c - 1)/7
Let -85/2*h**3 + 15 - 145/2*h + 100*h**2 = 0. Calculate h.
6/17, 1
Let s(j) be the third derivative of j**8/336 - j**7/14 + 11*j**6/60 + j**5 - 13*j**4/3 + 135*j**2 - j + 4. What is h in s(h) = 0?
-2, 0, 2, 13
Let x(r) = -30*r**3 + 600*r**2 + 15*r - 605. Let q(d) = 17*d**3 - 299*d**2 - 8*d + 302. Let i(g) = 5*q(g) + 3*x(g). Let i(h) = 0. What is h?
-1, 1, 61
Suppose 399/4 - 1/4*x**2 + 65/2*x = 0. What is x?
-3, 133
Let f(y) be the first derivative of 1/10*y**5 - 1/6*y**3 - 3/4*y**2 + 0*y - 233 + 3/8*y**4. Factor f(c).
c*(c - 1)*(c + 1)*(c + 3)/2
Suppose -116*h + 114*h + 4 = 0. Solve 4*i**h - 36 + 5*i**2 + 12*i + 0*i**2 - 10*i**2 = 0 for i.
6
Suppose -3*a + 4*b = 6, -2 = -2*b + 4. Suppose -a*z = -0 - 8. Determine u so that -16 - 4*u**z + 4*u**2 + 113*u**3 - 101*u**3 + 16*u**2 - 12*u = 0.
-1, 1, 4
Let o(u) be the second derivative of 4 + 128*u**2 - 19*u - 5/4*u**4 + 16*u**3 + 1/40*u**5. Factor o(d).
(d - 16)**2*(d + 2)/2
Let f = -21251/20 + 64297/60. Factor f*q - 2/15*q**2 - 2312/15.
-2*(q - 34)**2/15
Let y(i) be the first derivative of -i**6 - 3*i**5/5 + 3*i**4/2 + i**3 - 910. Find j such that y(j) = 0.
-1, -1/2, 0, 1
Let u(t) = 2*t**4 + 2*t - 2. Let o(k) = -16*k**4 + 2327*k**3 - 451050*k**2 + 29092616*k + 7301396. Let n(h) = -o(h) - 6*u(h). Let n(i) = 0. Calculate i.
-1/4, 194
Let z(p) = p**3 - 6*p**2 + 4*p + 8. Let w be z(5). Suppose -w*a + 15 + 7 = 5*f, 4*f = 8. Let -2*g**a - 500 + 2*g**3 + 500 = 0. What is g?
0, 1
Let c be ((-42)/126)/((-1)/(-12)). Let n(m) = -26*m - 101. Let s be n(c). Factor -1/2*f + 1/2*f**s - 1/2*f**2 + 1/2.
(f - 1)**2*(f + 1)/2
Let s(p) be the second derivative of p**5/3 + 17*p**4/9 + 32*p**3/9 + 8*p**2/3 - 1083*p. Factor s(b).
4*(b + 1)*(b + 2)*(5*b + 2)/3
Find o such that 6*o**4 + 48*o**3 - 114*o**2 - 4*o**4 + 0*o**4 + 0*o**4 - 248*o - 1125 + 1437 = 0.
-26, -2, 1, 3
Let r(t) = t**4 + t**2. Let b be 7/5 + 168/(-420). Let x(p) = p**4 - 18*p**3 - 78*p**2 + 18*p + 81. Let s(k) = b*x(k) - 2*r(k). Solve s(n) = 0.
-9, -1, 1
Suppose -4*t - 3 = w - 18, -4*t - 2*w + 14 = 0. Suppose -t = -4*k, 4*p - k - 2 = 13. Factor -4*b**2 + p*b**3 - 10*b + 3*b + 3*b + 4*b**4.
4*b*(b - 1)*(b + 1)**2
Suppose -245*c + 241*c - 620 = 0. Let q be (-162)/(-14) + (c/(-35) - 4). Factor -51/4*z - q*z**3 + 3/2 + 30*z**2.
-3*(z - 2)*(4*z - 1)**2/4
Let f(w) = w**3 + w**2 - 72*w + 5. Let x be f(-9). Let r be 5 + (x + -20)/3. Find l, given that -4/5*l**3 + 2/5*l**5 + 0*l + 2/5*l**4 + r + 0*l**2 = 0.
-2, 0, 1
Find g such that -16*g**2 - 245 - 5*g**5 - 490*g**3 + 255*g**4 + 9410*g + 6*g**2 - 8915*g = 0.
-1, 1, 49
Let z(l) be the third derivative of l**7/105 + 37*l**6/30 + 19*l**5/2 + 88*l**4/3 + 140*l**3/3 - 28*l**2 - 5*l. Factor z(w).
2*(w + 1)**2*(w + 2)*(w + 70)
Factor -4 - 97/3*m**3 + 33*m**2 + 580/3*m.
-(m - 3)*(m + 2)*(97*m - 2)/3
Let s(x) be the third derivative of -x**7/525 - x**6/150 + 23*x**5/150 + 2*x**4/5 - 48*x**3/5 - 394*x**2 + 2. Factor s(j).
-2*(j - 3)**2*(j + 4)**2/5
Let s be 1/(-2)*(-261)/(-18)*-4. Find l, given that 30*l**3 - 65*l**3 + s*l**3 + 8 + 6*l + 2*l**4 - 10*l**2 = 0.
-1, 1, 4
Let i(u) be the first derivative of -u**5/180 - u**4/36 + u**3/6 + u**2/2 - 8*u + 64. Let a(z) be the second derivative of i(z). What is d in a(d) = 0?
-3, 1
Let u be 6/((-120)/(-215)) + 2/8. Suppose -2*l + l + x = -u, 2*l - 10 = 5*x. Find n, given that 5*n**2 - 5*n**3 + l*n - 28*n + 18*n - 5 = 0.
-1, 1
Let z(g) be the second derivative of -g**4/30 - 8*g**3/15 + 1353*g**2/5 - 5045*g. Factor z(y).
-2*(y - 33)*(y + 41)/5
Let r be (-138)/8*(5 - (-5 + 6)). Let g = 71 + r. Factor -15*u**g + 8 + 5*u**2 + 11*u - u + 12*u**2.
2*(u + 1)*(u + 4)
Let v = 33281 - 66555/2. Let -8 - v*n**3 + 51/2*n**2 + 21*n = 0. Calculate n.
-1, 2/7, 8
Let v(i) be the third derivative of -i**8/1008 - i**7/15 + 23*i**6/180 + 31*i**5/45 - 71*i**4/24 + 43*i**3/9 - 712*i**2. Suppose v(j) = 0. Calculate j.
-43, -2, 1
Let n = -308928 - -617875/2. Factor -1/2*m**2 - n*m - 9.
-(m + 1)*(m + 18)/2
Let p(t) be the third derivative of t**5/180 - 95*t**4/72 - 16*t**3/3 + 6*t**2 + t - 117. What is l in p(l) = 0?
-1, 96
Suppose -w - 11 = 3*p, -p + 6 - 11 = 0. Suppose -4*h + c - 4*c + 9 = 0, h - 5 = 2*c. Determine v so that 2/21*v**h - 2/21*v**w - 10/21*v + 2/7*v**2 + 4/21 = 0.
-2, 1
Let w(q) be the third derivative of 1/16*q**4 + 1 - 1/480*q**6 + 0*q**3 - 1/48*q**5 - 34*q**2 + 0*q. Factor w(i).
-i*(i - 1)*(i + 6)/4
Let v be (1/(-5))/(108/3960*-33). Let q(d) be the third derivative of 0 + 1/18*d**4 + 1/180*d**5 + v*d**3 + 26*d**2 + 0*d. What is l in q(l) = 0?
-2
Let z = -57/6341 - -38445/44387. Let -z + 1/7*v**4 + 1/7*v**2 - 2/7*v**5 + 9/7*v**3 - 11/7*v = 0. What is v?
-1, 3/2, 2
Let p(v) be the second derivative of -v**4/42 - 22*v**3/21 - 16*v**2 + 1723*v. Factor p(r).
-2*(r + 8)*(r + 14)/7
Factor -4 - 60*n + 4*n**2 - 56 + 15 - 91.
4*(n - 17)*(n + 2)
Let 3*l**3 + 8*l**2 - 12*l + l**2 - 24 - 27 + 15 + 0*l**2 = 0. Calculate l.
-3, -2, 2
Let g = 2684/39 + -5251/78. Factor 3/2*a + g*a**2 - 30.
3*(a - 4)*(a + 5)/2
Suppose -c + 258 = w, -4*c = 5*w - 9*c - 1270. Let n be (-15)/(-3) - w/56. Find q such that -3/7*q + 0*q**2 + n*q**3 + 0 = 0.
-1, 0, 1
Let r(y) be the first derivative of -y**4/16 - 5*y**3/6 + 75*y**2 + 8216. Factor r(c).
-c*(c - 20)*(c + 30)/4
Suppose -3*v - 18 = -3*c, 58*v + 15 = 4*c + 57*v. Suppose -u - c = 3*y - 5, -3*u = 12. Find t, given that 12/5*t**4 - 16/5*t + 4*t**3 - 16/5*t**y + 0 = 0.
-2, -2/3, 0, 1
Factor 0 - 31*x + 1/7*x**3 - 24/7*x**2.
x*(x - 31)*(x + 7)/7
Let p(n) be the second derivative of 7*n**6/15 - 51*n**5/10 + 21*n**4 - 116*n**3/3 + 24*n**2 + 2005*n. Factor p(v).
2*(v - 3)*(v - 2)**2*(7*v - 2)
Let v(i) be the first derivative of -110 + 19/10*i**4 + i**2 - 2/5*i**5 + 4/5*i - 14/5*i**3. Determine g, given that v(g) = 0.
-1/5, 1, 2
Let a(g) be the first derivative of 15 - 4/5*g - 2/3*g**3 + 7/5*g**2. Factor a(c).
-2*(c - 1)*(5*c - 2)/5
Suppose 0 = -2*o + 3*i + 2287, 3*o - 3441 = -60*i + 61*i. Let r = 3449/3 - o. What is k in -r*k**3 + 0 + 0*k**4 + 0*k**2 + 4/3*k + 1/3*k**5 = 0?
-2, -1, 0, 1, 2
Let l be (14163/(-26))/(-3) - 324/4212. Let a(w) be the first derivative of -22*w**3 + 0*w - 45 - l*w**2 - 3/4*w**4. Factor a(f).
-3*f*(f + 11)**2
Factor -98010*i + 0 - 2/5*i**3 + 396*i**2.
-2*i*(i - 495)**2/5
Let i(c) be the second derivative of -7744*c**6/255 + 2376*c**5/17 - 17081*c**4/102 + 361*c**3/17 - 18*c**2/17 - 1753*c. What is w in i(w) = 0?
3/88, 1, 2
Suppose n = -4*j + j, j + 16 = 5*n. Let v be 81/972 + (-4)/6*j. Suppose -3/4*p**4 - v*p**2 + 0 + 0*p + 3/2*p**3 = 0. Calculate p.
0, 1
Let q(v) be the third derivative of -v**8/23520 + v**6/2520 + v**4/24 + 14*v**3/3 + 4*v**2 + 2. Let j(h) be the second derivative of q(h). Factor j(y).
-2*y*(y - 1)*(y + 1)/7
Let f(z) = -2*z**4 - 13*z**3 - 41*z**2 - 33*z. Let a(b) = -b**4 - 13*b**3 - 37*b**2 - 27*b. Let x(g) = -6*a(g) + 4*f(g). Factor x(l).
-2*l*(l - 15)*(l + 1)**2
Let l(k) be the first derivative of 2*k**5/15 + 11*k**4/2 + 442*k**3/9 + 181*k**2 + 300*k + 844. Find a such that l(a) = 0.
-25, -3, -2
Let q = 5 - 5. Suppose 0*d + d - 6 = q. Suppose 6*t - d*t**3 + 3 + 339*t**2 - 339*t**2 - 3*t**4 = 0. What is t?
-1, 1
Let t(j) be the second derivative of j**7/280 - 3*j**5/10 + 2*j**4 - 95*j**3/6 + 129*j. Let m(s) be the second derivative of t(s). Factor m(h).
3*(h - 2)**2*(h + 4)
Suppose 24*m + 248 = 16*m. Let a = m - -31. Let 24/13*v**3 + 18/13*v**2 + a + 4/13*v + 8/13*v**4 = 0. What is v?
-2, -1/2, 0
Let b(k) be the first derivative of k**5/15 + 85*k**4/12 - 376*k**3/3 + 582*k**2 - 6934. Let b(y) = 0. Calculate y.
-97, 0, 6
Let r be 5*1*(-2388)/(-2985). Suppose -3*q + 284 = 4*j - 5*q, 212 = 3*j - 2*q. Find w, given that -r*w**2 + j*w - 25*w - 35*w = 0.
0, 3
Let b(u) be the first derivative of 4/9*u - 5/27*u**3 + 1/6*u**2 - 84 + 1/45*u**5 - 1/12*u**4. Factor b(j).
(j - 4)*(j - 1)*(j + 1)**2/9
Suppose -10*r - 12 = -62. Solve 5*h**3 - 15*h**2 + 15 + 0 - 5*h + 5