 Factor t(u).
-2*u*(u + 2)*(u + 3)/7
Let b(m) be the third derivative of -7/66*m**4 + 2/1155*m**7 + 26*m**2 + 0 - 1/22*m**5 + 9/220*m**6 + 0*m**3 + m. Solve b(y) = 0.
-14, -1/2, 0, 1
Suppose -5*n + 28 = -182. Factor 28*a + 4*a**3 + 86 - 104 + 28*a**2 - n.
4*(a - 1)*(a + 3)*(a + 5)
Suppose 4 = 2*m + 2*d, -5*m + 4*d + 0 + 19 = 0. What is j in -2*j**m - 8*j**4 + 19*j**3 - 2*j**3 + 5*j**4 = 0?
0, 5
Let v(z) = -69426535*z**3 + 1013530*z**2 - 4924*z + 12. Let n(y) = -y**3 + y**2 + 2*y + 1. Let t(j) = 4*n(j) - v(j). Let t(l) = 0. Calculate l.
2/411
Let a(u) = -2*u**2 + 3*u. Let d(l) = 4*l**2 + 173*l + 372. Let k(y) = 6*a(y) + 2*d(y). What is w in k(w) = 0?
-2, 93
Let q(p) be the second derivative of p**6/240 - 13*p**5/160 + p**4/8 + 949*p. Let q(x) = 0. What is x?
0, 1, 12
Let w = 6144/54397 + -22/2863. Factor -6/19*u + w*u**2 + 0 + 8/19*u**3.
2*u*(u + 1)*(4*u - 3)/19
Let c = 1295676 - 5182677/4. Factor 25/4*a + c*a**2 - 1/2.
(a + 1)*(27*a - 2)/4
Solve 0*m + 4/7*m**3 - 4/7*m**5 + 0 + 0*m**4 + 0*m**2 = 0 for m.
-1, 0, 1
Find w such that 39/7*w + 3/7*w**2 + 90/7 = 0.
-10, -3
Let f(n) = -4*n**4 - 56*n**3 + 244*n**2 + 4*n. Let j(u) = -10*u**4 - 110*u**3 + 489*u**2 + 9*u. Let b(y) = -9*f(y) + 4*j(y). Find c such that b(c) = 0.
0, 6, 10
Let b(v) be the first derivative of 1/35*v**5 - 2/21*v**3 - 13 + 0*v**2 + 0*v + 1/28*v**4. Solve b(d) = 0.
-2, 0, 1
Let q(k) be the second derivative of 148*k + 45/2*k**2 - 5/12*k**4 + 0 + 20/3*k**3. Factor q(g).
-5*(g - 9)*(g + 1)
Factor -3*x**4 - 1200 - 8*x**3 + 1440*x + 55*x**2 + 55*x**3 - 482*x**2 + 25*x**3 - 125*x**2.
-3*(x - 10)**2*(x - 2)**2
Let y = 355 + -188. Determine a so that y*a**2 + 4*a**3 - 12 + 12 - 159*a**2 = 0.
-2, 0
Let a(c) = -87 + 4539*c**2 - 27*c + 90*c + 217 - 4540*c**2. Let m be a(65). Solve -2/17*s**3 + m + 10/17*s**2 + 0*s = 0.
0, 5
Let w(s) = 7*s**3 + 90*s**2 + 126*s - 67. Let n(l) = 20*l**3 + 268*l**2 + 380*l - 202. Suppose 116*t = 120*t - 12. Let g(i) = t*n(i) - 10*w(i). Factor g(b).
-2*(b + 2)*(b + 8)*(5*b - 2)
Let b be 10/(-15) + (-74)/(-66). Let x be -12*50/(-110)*(-4)/(-60). Factor -b*z - 1/11 - x*z**2.
-(z + 1)*(4*z + 1)/11
Let p(t) be the second derivative of 1/20*t**4 + 6*t**2 + 0 - 6/5*t**3 + 6*t. Factor p(u).
3*(u - 10)*(u - 2)/5
Let c = 6 - 1. Suppose -5*y - 4*m = 1, y - 5 = 2*y + 2*m. Factor 3*b - 59*b**3 + 28*b**3 + 25*b**y + 3*b**c.
3*b*(b - 1)**2*(b + 1)**2
Determine v so that -1/2*v**2 - 245*v - 60025/2 = 0.
-245
Let n(x) = -15*x - 19. Let p be n(-2). Factor 4*m**4 - 4*m - 14*m**2 - 12*m**5 - 6 + p*m**5 + 17*m + 4*m.
-(m - 3)*(m - 1)**3*(m + 2)
Let g be (-15)/(-20) + (-71943)/84 + 3. Let a = g - -853. Find i, given that 2/7*i**2 - 2/7*i**4 + 0*i + 0 - 2/7*i**3 + a*i**5 = 0.
-1, 0, 1
Let j be (30/(-6) - -3)*1869/(-6). Let d = j + -623. Factor 2/9*u**2 + d - 8/9*u.
2*u*(u - 4)/9
Let b(a) = 7*a**3 - 150*a**2 + 43*a - 2. Let f(c) = 20*c**3 - 456*c**2 + 128*c - 7. Let v(t) = 7*b(t) - 2*f(t). Factor v(l).
3*l*(l - 15)*(3*l - 1)
Suppose -26/3*p + 169 + 1/9*p**2 = 0. What is p?
39
Suppose -1587/2*c - 1197/2 - 260*c**2 + 2*c**3 = 0. Calculate c.
-3/2, 133
Let o be (1004/(-1008))/(44/(-33)). Let k = o + 1/336. Find g, given that 0 + 3/2*g - k*g**2 = 0.
0, 2
Suppose -13 = 3*d + 8*l - 72, 0 = -4*d - 4*l + 132. Let g(i) be the first derivative of -25/3*i**3 + i**5 + 20*i + 0*i**4 + 0*i**2 + d. Solve g(y) = 0 for y.
-2, -1, 1, 2
Let k be (-1)/((-2)/12*(10 - 7)). Suppose -4 = -k*z + 6. Factor 15*q**4 - z*q**4 + 80 - 5*q**4 + 178*q**2 - 40*q**3 - 160*q - 58*q**2.
5*(q - 2)**4
Determine v so that 0 + 36/5*v + 18/5*v**2 - 2/5*v**4 - 4/5*v**3 = 0.
-3, -2, 0, 3
Suppose 2*y + 4*z - 6*z = 20, 4*y = 3*z + 39. Let g be (12 + -6)*3/y. Factor -2/7*i**3 + 2/7*i + 0 + 0*i**g.
-2*i*(i - 1)*(i + 1)/7
Suppose -4*a = 4*p - 16, 4*a = 5*p - 2*p + 9. Factor 10*m - 1207*m**3 - 1210*m**a - 2*m**2 + 2413*m**3 - 4.
-2*(m - 1)*(m + 2)*(2*m - 1)
Let r(x) be the third derivative of -x**6/40 - 9*x**5/10 - 23*x**4/2 - 60*x**3 - 641*x**2. Solve r(k) = 0.
-10, -6, -2
Let f(r) be the first derivative of -r**6/9 - 2*r**5/5 + 47*r**4/6 + 34*r**3/3 - 46*r**2/3 - 32*r + 766. Let f(m) = 0. Calculate m.
-8, -1, 1, 6
Let g be ((-4149)/21)/((-6810)/20). Let l = g - 2/227. Determine m, given that 4/7*m**2 - l + 0*m = 0.
-1, 1
Let o = -305994 - -305996. Solve 20/3*y - 10/3*y**o + 5 - 5/3*y**4 - 20/3*y**3 = 0 for y.
-3, -1, 1
What is d in 5/3*d**3 - 50/3*d - 35/3*d**2 + 80/3 = 0?
-2, 1, 8
Let a(n) be the third derivative of -n**6/40 - 103*n**5/20 - 141*n**4 - 1638*n**3 + 23*n**2 + n. Solve a(l) = 0.
-91, -6
Let l(i) be the first derivative of 4/9*i**5 + 0*i - 44/27*i**3 + 4/3*i**2 + 30 - 4/3*i**4. Find h such that l(h) = 0.
-1, 0, 2/5, 3
Let s(u) be the third derivative of u**7/525 + 7*u**6/30 + 9*u**5/10 - 7*u**4/6 - 136*u**3/15 - 1639*u**2 - 1. What is a in s(a) = 0?
-68, -2, -1, 1
Suppose 5*x + 20 = 5*r, x - 5*r = 2*x - 2. Let s(g) = 5*g**2 - 314*g - 127. Let f(w) = 5*w**2 - 316*w - 128. Let z(n) = x*f(n) + 4*s(n). Factor z(u).
(u - 62)*(5*u + 2)
Suppose -3*z - 2*x - 56 = -62, 3*z = 5*x + 27. Let m(d) be the second derivative of 15*d + 1/21*d**3 - 1/14*d**2 + 0 - 1/84*d**z. Find t such that m(t) = 0.
1
Let i(k) be the third derivative of -k**5/60 + 15*k**4/8 + 47*k**3/3 + 207*k**2 - 1. Determine d, given that i(d) = 0.
-2, 47
Let h(m) be the first derivative of -4*m**3/27 - 56*m**2/3 + 510. Factor h(l).
-4*l*(l + 84)/9
Let n be 14/(-2) + (-71190)/(-10010). Let t = n + 3797/572. Factor -t*m**2 + 3/4 - 3*m**4 - 3/4*m - 33/4*m**3.
-3*(m + 1)**3*(4*m - 1)/4
Let a(z) be the first derivative of -z**3/15 - 37*z**2/10 - 342*z/5 + 6087. Let a(b) = 0. What is b?
-19, -18
Let a(b) be the third derivative of 16*b**7/105 + 55*b**6/12 + 1331*b**5/30 + 316*b**4/3 + 64*b**3 + 93*b**2 + 29. Determine y, given that a(y) = 0.
-8, -1, -3/16
Let g(s) = 19*s**2 + 1. Let y(k) = -56*k**2 - 538*k + 72358. Let v(a) = -3*g(a) - y(a). Find x such that v(x) = 0.
269
Find m such that -129892 + 7*m**2 - 1980*m - 196808 - 7*m**2 + 7*m**2 - 10*m**2 = 0.
-330
Let h(n) be the third derivative of -243/2*n**3 - 81/32*n**4 + 210*n**2 + 0 + 0*n + 23/480*n**6 + 1/840*n**7 + 9/16*n**5. Factor h(z).
(z - 4)*(z + 9)**3/4
Let f(w) be the second derivative of w**5/20 + 25*w**4/6 - 17*w**3/2 - 1486*w. Factor f(q).
q*(q - 1)*(q + 51)
Factor 26/5 - 28/5*b + 2/5*b**2.
2*(b - 13)*(b - 1)/5
Let h = 38 - 36. Suppose -2*m + 5*m = 5*d - 12, h*m = -3*d + 11. Factor -2*o**4 - 7*o + 3*o**4 - 12*o**2 + 15*o**d - 5*o**4 + 3*o.
-o*(o - 2)**2*(4*o + 1)
Suppose -112*y**2 - 80*y**3 - 4*y**4 + 40 + 200*y**2 + 80*y - 40 - 84 = 0. Calculate y.
-21, -1, 1
Let o be 50*(-490)/630*12/(-35). Factor o + 4/3*j**3 - 4/3*j - 40/3*j**2.
4*(j - 10)*(j - 1)*(j + 1)/3
Let v(o) be the second derivative of 8*o**2 - 60*o + 0 - 1/3*o**4 - 2*o**3. Solve v(g) = 0 for g.
-4, 1
Let n(h) be the third derivative of -1/18*h**4 + 13/270*h**5 + 0*h - 1/135*h**6 + 134*h**2 + 0*h**3 + 0 - 1/315*h**7. Let n(j) = 0. Calculate j.
-3, 0, 2/3, 1
Let c(m) be the second derivative of 52*m**2 - 4*m - 1/3*m**4 - 2 - 22/3*m**3. Factor c(w).
-4*(w - 2)*(w + 13)
Suppose -1774*v - 1066 = -2307*v. Factor -28/3 + 2/3*s**v - 26/3*s.
2*(s - 14)*(s + 1)/3
Let s be (-63)/135*-5*(-6)/2. Let f be 4/(8/(-70)*s). Factor 3/11*l**4 - 1/11*l**3 + 0*l**2 + 4/11*l**f + 0*l + 0.
l**3*(l + 1)*(4*l - 1)/11
Let g = 579 - 571. Suppose g*w**2 + 3*w + 9*w**2 - 2*w**3 - w**4 - 16*w**2 - w**3 = 0. Calculate w.
-3, -1, 0, 1
Suppose 151*p - 152*p - g = 0, -5*g - 10 = 0. Suppose -3*l = -p*y, 10*l - 5*l - 16 = -2*y. Factor -5/2*i**l + 0 + 3*i + 1/2*i**3.
i*(i - 3)*(i - 2)/2
Let j(z) = 14*z. Let v be j(-2). Let y = v - -33. Solve -3*u**2 - 1 - 6*u - y - 7*u + 4*u = 0.
-2, -1
Let s = 104/1175 + 1414/10575. Factor -s*w**2 - 4*w - 18.
-2*(w + 9)**2/9
Suppose -5*d + 2*s = -21, 2*d + 3*s + 1 + 2 = 0. Let z(r) = 11*r - 22. Let g be z(7). Factor -10*a**d + a - 25*a**3 - 5*a**4 - g*a**2 - 27*a + a.
-5*a*(a + 1)**2*(a + 5)
Determine w, given that 29*w - 73*w**3 - 8*w + 35*w**2 + 60 + 59*w + 78*w**3 = 0.
-3, -2
Let q be (4 + 2)*(-48)/9. Let m be (q/(-56))/(2 + 8/7). Let m*v**4 - 4/11*v + 0 - 6/11*v**2 + 0*v**3 = 0. Calculate v.
-1, 0, 2
Let g(r) = r**3 - 16*r**2 - 48*r - 13. Let h be g(16). Let x = 783 + h. Suppose -1/5*i**x - 2/5*i**3 - 1/5*i**4 + 0*i + 0 = 0. What is i?
