= l**4 - l**3 + l**2. Let b(y) = a*i(y) - 6*f(y). Suppose b(j) = 0. Calculate j.
-1, 1, 2
Factor 168/11*l + 34/11*l**2 + 1/11*l**4 + 0 - 23/11*l**3.
l*(l - 21)*(l - 4)*(l + 2)/11
Let x be 56/98*((-1292)/(-120) - 2). Let z = x - 58/15. Solve -4/7*r**2 - 12/7*r - z = 0.
-2, -1
Suppose -134 = -3*t + 2*y, 4*y + 8 = 2*y. Suppose 66*q**2 + 70*q + 10*q**3 + 15 - 15*q**4 - t*q**2 + 32*q**2 + 24*q**2 = 0. Calculate q.
-1, -1/3, 3
Let w(u) be the second derivative of -1/140*u**5 - 23/28*u**4 + 8*u + 11 + 175/2*u**2 - 55/2*u**3. Suppose w(g) = 0. What is g?
-35, 1
Let l(n) = 9*n + 1. Let b be l(-1). Let i(c) = c**3 + 10*c**2 + 16*c + 4. Let g be i(b). Factor -69*o**4 + 84*o**g - 5*o**5 - 8*o**2 - 12*o**2.
-5*o**2*(o - 2)**2*(o + 1)
Let n(v) be the second derivative of -v**4/9 + 326*v**3/9 - 15*v - 1. Solve n(j) = 0.
0, 163
Let z be (-839)/105 - 31/(372/(-96)). Let h(f) be the second derivative of 0 + 14*f + z*f**6 + 0*f**2 - 3/70*f**5 - 1/21*f**3 + 1/14*f**4. Factor h(l).
2*l*(l - 1)**3/7
Suppose -13*x = -9*x - 3*o + 15, 0 = 3*x + 2*o + 24. Let f be (-12)/x + 1 + -1. Factor h**f - 3/2*h + 1/2.
(h - 1)*(2*h - 1)/2
Let q(z) be the first derivative of 4/5*z + 34 + z**2 + 8/15*z**3 + 1/10*z**4. Factor q(b).
2*(b + 1)**2*(b + 2)/5
Let z be (-10)/(-20)*(2 - 0). Let t be (-1)/((4/12)/z) - -169. Factor 75 - 264*u + u**4 + 46 + t*u**2 - 25*u**3 + u**3.
(u - 11)**2*(u - 1)**2
Solve 172/19*b**3 - 408/19 - 872/19*b + 1114/19*b**2 - 6/19*b**4 = 0.
-6, -1/3, 1, 34
Let 4880*y - 13856 - 12404 - 100*y**2 - 33276 = 0. Calculate y.
122/5
Let r(q) be the second derivative of -q**5/5 + 184*q**4 + 738*q**3 + 1108*q**2 - 3663*q. Factor r(f).
-4*(f - 554)*(f + 1)**2
Suppose -2/3*d**3 + 24 - 6*d**2 + 8/3*d = 0. Calculate d.
-9, -2, 2
Suppose 4*a + 35 = 179. Solve -a*b**4 - 3*b**2 - 5*b**5 - 27*b**3 - 3*b**2 - 10*b**5 + 0*b**2 = 0.
-1, -2/5, 0
Let n(u) = 19*u**2 - 30*u - 30. Let g(y) = -7*y**2 + 9*y + 10. Let j(s) = -13*s - 189. Let b be j(-15). Let m(v) = b*n(v) + 17*g(v). Find k such that m(k) = 0.
-5, -2/5
Let c be ((-3)/9)/(1/(-1 + -5)). Suppose 2*o = c*x - 4, -3*o - 5*x = -0*x - 26. Solve 14*q**3 + 20*q**2 + o*q**4 - 2556*q + 10*q**2 + 2574*q = 0 for q.
-3, -1, 0
Let h be ((-1)/(-1 - -2))/(-2). Suppose 14*i - 9*i = 4*m + 25, 10*i = -3*m + 50. Factor -h + m*b + 1/2*b**2.
(b - 1)*(b + 1)/2
Suppose -2 = 327*s - 328*s. Let u(y) be the second derivative of 0*y**s + 1/5*y**4 + 1/50*y**6 + 0*y**3 + 14*y - 3/25*y**5 + 0. Let u(n) = 0. What is n?
0, 2
Suppose -24*z + 51*z = 54. Determine y, given that 33*y**z - 52*y**4 - 14 - 128*y + 144*y**3 + 29*y**2 - 70*y**2 + 74 - 16*y**5 = 0.
-5, -1, 3/4, 1
Let h(l) be the first derivative of 0*l - 9/4*l**4 + 72 - 3/5*l**5 + 3*l**2 + 1/2*l**6 + l**3. Factor h(n).
3*n*(n - 2)*(n - 1)*(n + 1)**2
Let d(m) be the first derivative of -m**6/3 - 2*m**5 - 4*m**4 - 8*m**3/3 - 548. Solve d(q) = 0.
-2, -1, 0
Let j(z) = -38*z + 4. Let k be j(1). Let w be (4/(-7))/(k/119). Solve -1/3 - 1/6*y**4 - 1/6*y**3 + 1/6*y + 1/2*y**w = 0.
-2, -1, 1
Let k = 364848 - 364780. Suppose 172/7*z**3 - 4*z**5 + k*z**2 - 384/7*z - 144/7 - 92/7*z**4 = 0. What is z?
-3, -2/7, 1, 2
Let b(x) = 12*x**4 - 261*x**3 + 21*x**2 + 261*x - 114. Let t(r) = r**4 - 20*r**3 + 2*r**2 + 20*r - 9. Let m(a) = 2*b(a) - 27*t(a). Factor m(k).
-3*(k - 5)*(k - 1)**2*(k + 1)
Factor 0 - 6*o + 9/2*o**3 - 6*o**2.
3*o*(o - 2)*(3*o + 2)/2
Let h(a) be the second derivative of -5*a**4/24 + 85*a**3/3 - 165*a**2 - a + 659. Factor h(s).
-5*(s - 66)*(s - 2)/2
Suppose -38 + 43 = y. Suppose i = -y + 8. Let 32*v - 8*v**2 + 80*v**i - 32*v**4 - 64*v**2 - 4 - 4*v = 0. What is v?
1/2, 1
Let a(u) be the first derivative of -u**5/10 - 4*u**4 + 89*u**3/3 - 64*u**2 + 111*u/2 + 263. Factor a(j).
-(j - 3)*(j - 1)**2*(j + 37)/2
Let k(a) be the third derivative of 4/15*a**5 + 1/5*a**6 + 1/6*a**4 + 0*a + 0*a**3 + 0 + 1/84*a**8 + 193*a**2 + 8/105*a**7. Factor k(o).
4*o*(o + 1)**4
Let k be 35/(-5) + 6588/940. Let u = 1866/1645 + k. Solve -8/7*i**3 + 0*i**2 - 2/7*i**5 + 0*i + 0 + u*i**4 = 0 for i.
0, 2
Let g(k) be the first derivative of k**4/30 - 74*k**3/15 + 1008*k**2/5 + 6272*k/15 + 2217. Factor g(n).
2*(n - 56)**2*(n + 1)/15
Let s(w) be the first derivative of 1585*w**4/4 + 10*w**3/3 + 1482. Factor s(u).
5*u**2*(317*u + 2)
Suppose 184*q = 300*q - 464. Let i(f) be the first derivative of -98/15*f**6 - 112/25*f**5 + 0*f**2 + 0*f - 4/5*f**q + 0*f**3 - 8. Suppose i(w) = 0. What is w?
-2/7, 0
Let j(v) = -6053*v + 30267. Let r be j(5). Suppose 1 + 23/4*t**r + 5*t + 7/4*t**3 = 0. Calculate t.
-2, -1, -2/7
Let w(l) = -7*l**5 + 3*l**4 + l**3 - 3*l**2 - 14*l. Let g(i) = 3*i**5 - i**4 - i**3 + i**2 + 6*i. Let h = 453 - 455. Let p(x) = h*w(x) - 5*g(x). Factor p(y).
-y*(y - 1)**2*(y + 1)*(y + 2)
Let g = 15 + -19. Let u(b) = b**2 + 6*b + 10. Let m be u(g). Factor -29*i + 4*i**m - 30*i + 47*i.
4*i*(i - 3)
Let a(r) be the second derivative of r**8/8400 + r**7/350 + 2*r**6/225 - 15*r**4 + 279*r. Let j(h) be the third derivative of a(h). Solve j(x) = 0.
-8, -1, 0
Suppose -2*m = -5*i + 38, -4*m + 5 - 1 = 0. Let s**4 - i + 2*s**3 + 7*s**2 + 169*s - 11*s**3 - 160*s = 0. What is s?
-1, 1, 8
Let c(y) = -y**2 - y + 4. Let v be (70/(-15) + 4)*(1 - -5). Let o(d) = 626*d**2 - 299*d + 32. Let h(i) = v*c(i) - 4*o(i). Factor h(q).
-4*(25*q - 6)**2
Let b be 146/1095 - (-86)/30. Solve -80*c - b*c**2 - 71 - 2*c**2 - 69 = 0.
-14, -2
Let c be (7/(-49))/(-1) - 152/(-14). Suppose 0 = -l + 4*v + 11, 5*l - 12 = 4*v + c. Find h, given that 15/4*h - 15/4*h**l + 3 - 3/4*h**4 - 9/4*h**2 = 0.
-4, -1, 1
Suppose 4*c - s - 5 = 0, -2*c = 3*s - 0*s - 13. Suppose 4*x + c*y + 23 = 153, -2*x + 74 = -2*y. Find o such that o - x*o**2 + 22*o**2 - 9*o - 4*o**3 = 0.
-2, -1, 0
Let b be (-6*8/112)/((-3)/21). Let z(n) be the third derivative of -1/90*n**6 + 2/45*n**5 + 0*n**b + 0*n + 0 - 1/18*n**4 + 11*n**2. Factor z(t).
-4*t*(t - 1)**2/3
Let i = -55781 - -55783. Factor -4/3 + 14/9*y - 2/9*y**i.
-2*(y - 6)*(y - 1)/9
Factor 2/13*f**2 + 58/13*f + 56/13.
2*(f + 1)*(f + 28)/13
Suppose 4*s + 1059 = -3*b, -3 = 5*b + 2. Let m be ((-1)/(-12))/((-44)/s). What is t in -1 + 1/2*t + m*t**2 = 0?
-2, 1
Let s = -51391/3 - -17131. Factor b + s + 1/3*b**2.
(b + 1)*(b + 2)/3
Let y(p) be the first derivative of -65*p**6/6 + 15*p**5 + 55*p**4/4 - 25*p**3 + 5*p**2 + 1718. Suppose y(z) = 0. What is z?
-1, 0, 2/13, 1
Let h be 4 + 4 + 4 - (1 + 3). Suppose -54 = 5*x - h*x. Solve -27 + 0*d**2 + 2*d**2 - 5*d**2 + 0*d**2 - x*d = 0.
-3
Suppose 60*r = -2*m + 59*r + 424, 0 = -5*m - 4*r + 1060. Let u be m*2/280 + 4/20. Let 12/7*k + u*k**2 + 0 + 3/7*k**3 = 0. Calculate k.
-2, 0
Let z = -1/37068 + 65899/12356. Suppose t**3 + 0 + z*t**2 - 4*t = 0. Calculate t.
-6, 0, 2/3
Let a(i) be the second derivative of -11*i**5/120 + 31*i**4/6 - 1037*i**3/12 - 289*i**2/6 + 4514*i. Find s such that a(s) = 0.
-2/11, 17
Let r(i) be the first derivative of i**6/720 + i**5/6 + 25*i**4/3 - 11*i**3/3 - 2. Let a(b) be the third derivative of r(b). Factor a(f).
(f + 20)**2/2
Let i(h) be the third derivative of -h**5/180 + 73*h**4/18 + h**2 + 83*h - 5. Find y, given that i(y) = 0.
0, 292
Solve -80/9*c - 4/9 + 83/9*c**2 - 7/3*c**3 = 0 for c.
-1/21, 2
Let h(w) be the first derivative of -2*w**5/5 + 7*w**4 + 74*w**3/3 - 74*w**2 - 192*w - 1110. Suppose h(l) = 0. Calculate l.
-3, -1, 2, 16
Let m(h) = 4*h**3 - 1680*h**2 + 238563*h - 11212881. Let c(t) = -4*t**3 + 1676*t**2 - 238560*t + 11212880. Let j(o) = 3*c(o) + 4*m(o). What is s in j(s) = 0?
141
Let i(c) be the first derivative of 4*c**5/35 + 34*c**4/7 + 1460*c**3/21 + 2200*c**2/7 - 6000*c/7 + 4469. Let i(d) = 0. What is d?
-15, -10, 1
Let h(o) be the first derivative of o**6/33 + 26*o**5/55 + 45*o**4/22 - 26*o**3/33 - 166*o**2/11 + 240*o/11 + 2203. What is a in h(a) = 0?
-6, -5, -4, 1
Let z(b) be the first derivative of 0*b**2 - 4/5*b**5 + 0*b**4 + 0*b - 8 + 4/3*b**3. Solve z(u) = 0.
-1, 0, 1
Let k = -107 + 157. Let b = -46 + k. Suppose -8*d**3 - d**5 + 5*d**3 + 10*d**3 - 2*d**b - 8*d**3 = 0. Calculate d.
-1, 0
Suppose 0 = 5*t + 3*f - 92, t + 3*f + 68 = 6*t. Suppose -29*l + 26 = -t*l. Find p such that 8/3*p - 2/3*p**l - 2/3*p**3 + 8/3 = 0.
-2, -1, 2
Let b(q) = 43*q + 349. Let u be b(-8). Suppose 14*w - u*o = 11*w - 9, -5*o = -15. Solve -1/7*z**w - 3/7*z - 2/7 = 0 for z.
-2, -1
Suppose -2*