*j*(j - 2)*(j - 1)
Suppose -r + 39 = -5*f, 0 = -2*r - 3*f - 5 + 122. Let t be (r/12)/(3/20). What is o in -t*o**4 - 19*o**3 + 7*o**2 + o**2 - 39*o**3 + 8*o = 0?
-2, -1/3, 0, 2/5
Let u(w) be the third derivative of -w**6/30 - w**5/5 + 3*w**4/2 + 18*w**3 - w**2 + 4*w. Solve u(y) = 0.
-3, 3
Let j = -8341/99 - -928/11. Suppose -5/9*m**4 + 8/9*m - j*m**5 + 1/9*m**2 - 7/9*m**3 + 4/9 = 0. What is m?
-2, -1, 1
Factor -6/7*x**2 + 22/7*x + 2/7*x**4 - 12/7 - 6/7*x**3.
2*(x - 3)*(x - 1)**2*(x + 2)/7
Let w(h) = -h**3 - 71*h**2 - 394*h - 258. Let s be w(-65). Find a such that -a + s*a**3 - a**5 - 2/5*a**4 - 2/5 + 4/5*a**2 = 0.
-1, -2/5, 1
Suppose 7*b - 419 + 398 = 0. Let r(x) be the second derivative of -1/130*x**5 + 8*x + 0 - 1/13*x**2 + 1/78*x**4 + 1/39*x**b. Factor r(w).
-2*(w - 1)**2*(w + 1)/13
Let b(o) be the third derivative of o**5/270 - 5*o**4/9 + 100*o**3/3 + 35*o**2. Factor b(v).
2*(v - 30)**2/9
Let r be 26/(-13) + 3*356/504. Let j(u) be the second derivative of 2/35*u**5 + 0 + 0*u**2 + 2/21*u**3 + 3*u + r*u**4 + 1/105*u**6. Solve j(a) = 0.
-2, -1, 0
Factor -5*j**4 - 49*j + 99*j - 4 + 10*j**3 + 4 + 65*j**2.
-5*j*(j - 5)*(j + 1)*(j + 2)
Find g, given that 575*g**3 + 160*g**2 + 580*g**3 - 3528 - 1428*g - 1159*g**3 = 0.
-2, 21
Let x(d) = -3*d**5 + 2*d**4 + 5*d**3 + 4*d**2 - 4*d. Let o(m) = -3*m**5 + m**4 + 4*m**3 + 5*m**2 - 5*m. Let l(b) = -4*o(b) + 5*x(b). Let l(z) = 0. What is z?
-1, 0, 3
Let d(h) be the third derivative of -h**7/840 + h**6/160 + h**5/240 - h**4/32 + 50*h**2. Solve d(b) = 0 for b.
-1, 0, 1, 3
Factor 1/5*q**2 - 7/5*q - 8/5.
(q - 8)*(q + 1)/5
Suppose 0*h + 5*h - 687 = -u, 273 = 2*h + u. Factor -156*c**4 + 3*c**5 + c**2 + h*c**4 - c**2.
3*c**4*(c - 6)
Let j(n) be the first derivative of -3*n**4/7 - 32*n**3/3 - 558*n**2/7 - 648*n/7 + 90. Find c such that j(c) = 0.
-9, -2/3
Let f(h) be the third derivative of -4/15*h**5 + 0*h**3 - 6*h**2 + 0*h + 1/90*h**6 + 2*h**4 - 3. Find k, given that f(k) = 0.
0, 6
Let h(y) = -6 + 2*y - 6*y**2 - y**3 + 2 + y - 4*y. Let g be h(-6). Factor 13*w**g - 26*w**2 + w + 12*w**2.
-w*(w - 1)
Let a(x) = x + 12. Let j be a(-8). Let b be (8/6 + 0)/j. Factor 0 - 1/3*g**3 + 2/3*g**2 - b*g.
-g*(g - 1)**2/3
Let n = -1032 - -1038. Let j(q) be the first derivative of 0*q**2 + 1/36*q**n + 1/24*q**4 - 1/15*q**5 + 0*q**3 + 0*q - 5. Let j(p) = 0. What is p?
0, 1
Let -3/5*t**4 + 0 - 12/5*t + 3/5*t**3 + 12/5*t**2 = 0. What is t?
-2, 0, 1, 2
Solve 302*z + 439*z + 3*z**3 - 1521 - 16*z**2 - 71*z**2 = 0.
3, 13
Let n be (4/6)/(540/(-81)) - (-2)/4. Let 4/5 - 4/5*p**2 + n*p - 2/5*p**3 = 0. Calculate p.
-2, -1, 1
Let q(s) be the third derivative of 7/60*s**5 + 1/4*s**4 + 0 + 0*s**3 + 0*s + 19*s**2 + 1/120*s**6. Factor q(a).
a*(a + 1)*(a + 6)
Let w(h) be the first derivative of 3*h**4/4 - h**3 - 27*h**2/2 + 27*h + 103. Factor w(i).
3*(i - 3)*(i - 1)*(i + 3)
Let j(o) be the third derivative of -1/15*o**5 + 0*o**3 + 0 + 1/96*o**8 - 5*o**2 + 0*o + 1/12*o**6 + 13/210*o**7 + 0*o**4. Find g such that j(g) = 0.
-2, 0, 2/7
Let q(h) be the first derivative of h**3/15 - h**2/10 - 6*h/5 + 36. Find s, given that q(s) = 0.
-2, 3
Let o(m) = -m + 2. Let z be o(-4). Let f = -2 + z. Factor -x**3 - 4*x**3 - 6*x**f + 4*x**3 - 2*x**3.
-3*x**3*(2*x + 1)
Let s(w) be the first derivative of 55/3*w**3 + 10*w**2 + 11 + 0*w - 5/6*w**6 + 45/4*w**4 + w**5. Find y, given that s(y) = 0.
-1, 0, 4
Suppose 4056/5*t**2 + 6/5 - 312/5*t = 0. What is t?
1/26
Suppose 4*y - 20 = d, 0*d = -4*d + 2*y - 24. Let w = -1 - d. Suppose -4 + 16*c**2 + 0*c - 2*c - c**3 - 9*c**w = 0. Calculate c.
-2/5, 1
Let p(f) be the second derivative of -31*f + 0 + 0*f**2 + 0*f**5 + 1/54*f**4 - 1/135*f**6 + 0*f**3. Factor p(j).
-2*j**2*(j - 1)*(j + 1)/9
Let d(z) = -2*z**3 + 37*z**2 - 17*z - 16. Let x be d(18). Let c(a) be the first derivative of -1 - 4/9*a**x + 8/9*a + 1/18*a**4 - 2/27*a**3. Factor c(t).
2*(t - 2)*(t - 1)*(t + 2)/9
Let z = 5988 + -5986. Solve 116/5*t**z - 48/5*t**3 - 16/5 - 32/5*t = 0.
-1/4, 2/3, 2
Suppose -67 = 2*f - 81. Suppose -u - 4*p = -4, -9*p + f*p + 2 = -2*u. Factor -1/3*q**4 + u + 0*q**2 + 2/3*q**3 + 0*q.
-q**3*(q - 2)/3
Let y(u) be the first derivative of 5*u**6/2 - 8*u**5 + 5*u**4/4 + 40*u**3/3 - 10*u**2 - 666. Determine d, given that y(d) = 0.
-1, 0, 2/3, 1, 2
Let y(j) = j**4 - j**3 + j**2 + j. Let u(p) = -p**5 - 4*p**4 + 3*p**3 - 2*p. Let i(k) = u(k) + 2*y(k). Factor i(l).
-l**2*(l - 1)*(l + 1)*(l + 2)
Suppose -16*i = -14*i + 6, -5*a = i - 22. Let h(w) be the second derivative of -1/10*w**2 + 0 + 1/60*w**4 - a*w + 1/100*w**5 - 1/30*w**3. Factor h(r).
(r - 1)*(r + 1)**2/5
Let d = 524/253 - 10/23. Suppose -26/11*f - d*f**3 - 40/11*f**2 - 4/11 = 0. Calculate f.
-1, -2/9
Let p(n) be the third derivative of -4*n**7/945 + 19*n**6/540 - n**5/10 + 2*n**4/27 + 4*n**3/27 - 14*n**2 - n. Suppose p(y) = 0. Calculate y.
-1/4, 1, 2
Let y(u) be the first derivative of u**8/1008 - u**6/360 + 17*u**2/2 - 22. Let m(b) be the second derivative of y(b). Determine s, given that m(s) = 0.
-1, 0, 1
Let x = -3050 + 3050. Determine m so that 0 + 1/2*m**3 + x*m + 1/2*m**2 = 0.
-1, 0
Let d(m) be the third derivative of 1/1050*m**7 + 0*m**4 + 1/300*m**5 + 0*m**3 + 0 + 3*m**2 + 0*m - 1/300*m**6. Factor d(s).
s**2*(s - 1)**2/5
Suppose -5*r = -3*j + 1248 - 331, 5*j + 3*r - 1517 = 0. Let q be -8 - j/(-40) - (-2 + 1). Factor -q*y**4 + 0*y + 3/5*y**2 + 3/5*y**3 - 3/5*y**5 + 0.
-3*y**2*(y - 1)*(y + 1)**2/5
Let n be 1/(-9 - 168/(-18)). Let -8/9*d**2 - 2/9*d**n - 2/3*d + 0 = 0. What is d?
-3, -1, 0
Let c(u) = -4*u**2 + 31*u + 206. Let p be c(12). Factor 2/19*a**3 - 8/19*a**p + 8/19*a + 0.
2*a*(a - 2)**2/19
Suppose -12*u - 8 + 8 = 0. Let w(g) be the third derivative of 0*g**4 + 0*g**5 + 1/560*g**8 - 1/175*g**7 + 1/200*g**6 + 0*g**3 + 0 + u*g - 2*g**2. Factor w(d).
3*d**3*(d - 1)**2/5
Let l(j) be the second derivative of -j**4/21 - 4*j**3/7 - 16*j**2/7 - 8*j - 8. Factor l(p).
-4*(p + 2)*(p + 4)/7
Find z, given that 72 + z - 3*z**2 + 2*z + 11*z - 16*z + 8*z = 0.
-4, 6
Let a(v) = -60*v - 240. Let k be a(-4). Factor -1/2*c + 0 - 1/2*c**5 + k*c**4 + 0*c**2 + c**3.
-c*(c - 1)**2*(c + 1)**2/2
Let o(i) be the second derivative of 5*i**7/7 - 129*i**6/10 + 141*i**5/2 - 87*i**4 + 36*i**3 - 89*i. Let o(z) = 0. Calculate z.
0, 2/5, 1/2, 6
Let a(v) be the third derivative of v**6/84 + v**5/70 - 5*v**4/84 - v**3/7 + 150*v**2 - v. Let a(k) = 0. What is k?
-1, -3/5, 1
Let y = 9 + -4. Let i = y + -7. Let v(p) = -p**3 - p. Let t(q) = 6*q**4 + 10*q**3 - 14*q**2 - 6*q + 8. Let z(k) = i*v(k) - t(k). Solve z(x) = 0.
-2, -1, 2/3, 1
Let b(d) be the second derivative of -d**4/4 + 23*d**3/2 - 33*d**2 + 15*d. Factor b(o).
-3*(o - 22)*(o - 1)
Let w(z) be the first derivative of 3*z**5/25 - z**3/5 + 41. Factor w(y).
3*y**2*(y - 1)*(y + 1)/5
Solve -164*k - k**5 - 21*k**4 + 164*k - 2*k**5 = 0 for k.
-7, 0
Let r = -67 + 83. What is h in -2 - 12*h**2 + r*h + 18 + 4*h**4 - 8*h**3 + 0*h**3 = 0?
-1, 2
Let q(w) be the first derivative of -w**3/9 + 5*w**2/6 - 2*w - 145. Solve q(f) = 0.
2, 3
Let w = 502 - 7526/15. Let m(j) be the first derivative of 6 + 0*j + 1/5*j**2 - w*j**3 + 1/10*j**4. Determine y, given that m(y) = 0.
0, 1
Let f(v) be the third derivative of 1/105*v**7 + 1/30*v**5 + 1/40*v**6 + 1/48*v**4 - 8*v**2 + 0 + 0*v + 1/672*v**8 + 0*v**3. Factor f(s).
s*(s + 1)**4/2
Let i(l) = l**4 + l**3 - 14*l**2 + 4. Let k(z) = -z**4 - z**3 - z**2 + 1. Let x(n) = i(n) - 4*k(n). Factor x(j).
5*j**2*(j - 1)*(j + 2)
Let f(h) be the first derivative of h**6/200 + 3*h**5/100 + h**4/20 - 13*h**2/2 + 6. Let q(z) be the second derivative of f(z). Factor q(d).
3*d*(d + 1)*(d + 2)/5
What is a in 1150*a + 1/2*a**3 + 2500 - 49*a**2 = 0?
-2, 50
Let i = 103/3 - 29. Suppose 3*l - 80 = -7*l. Determine m so that l*m**3 + 0*m - i*m**2 + 2/3*m**5 + 0 - 4*m**4 = 0.
0, 2
Suppose 0 = 19*t - 34*t. Let m(v) be the second derivative of 7*v - 2/3*v**2 + t + 1/12*v**4 + 0*v**3 - 1/60*v**5. Suppose m(i) = 0. Calculate i.
-1, 2
Let p be ((-3)/2 + 1)/((-2)/4). Let u be ((-12)/3)/((4/(-4))/p). Let -9/4*d**3 + 1/4*d + 0 - d**5 - 1/4*d**2 - 11/4*d**u = 0. Calculate d.
-1, 0, 1/4
Let y = -79 - -124. Let u be (-4)/6 - (-48)/y. Factor -18/5 + 2*l**2 + u*l**3 + 6/5*l.
2*(l - 1)*(l + 3)**2/5
Find r such that -20*r**4 - 372*r + 254*r**4 + 1250*r**2 + 36 - 1011*r**3 - 203*r**2 = 