- -149/3. Suppose 2/9*u - f*u**2 + 4/9 = 0. What is u?
-2/3, 1
Factor -26*t + 37*t + 303*t**3 + 4 + 41*t - 51*t**3 + 292*t**2 - 88*t**2.
4*(3*t + 1)**2*(7*t + 1)
Let a(b) = -6*b**5 - 68*b**4 + 70*b**3 - 18*b**2 - 2. Let c(z) = -5*z**5 - 70*z**4 + 70*z**3 - 18*z**2 - 3. Let h(g) = 6*a(g) - 4*c(g). Factor h(u).
-4*u**2*(u + 9)*(2*u - 1)**2
Let v(a) be the first derivative of -4*a**3/9 - 16*a**2 + 252. Factor v(b).
-4*b*(b + 24)/3
Suppose -k + 0 = 30. Let w be (3 + 84/k)*(-10)/(-8). Factor 0*d - 1 + w*d**2.
(d - 2)*(d + 2)/4
Suppose 3/8*f**2 - 3/2*f**3 + 3/2*f + 0 - 3/8*f**4 = 0. Calculate f.
-4, -1, 0, 1
Suppose 20*u - 825 = 9*u. Let i = u - 73. Factor 4/7 + 2/7*h**i - 6/7*h.
2*(h - 2)*(h - 1)/7
Let c be (-30)/(-4)*44/(-3). Let d be 10/55 - 244/c. Find u, given that d*u**3 + 0 - 2/5*u + 2/5*u**2 = 0.
-1/2, 0, 1/3
Factor 16031*p**3 - 62*p**2 - 4*p**2 - 150 - 16028*p**3 - 219*p.
3*(p - 25)*(p + 1)*(p + 2)
Let j(v) = -v - 15. Let f be j(11). Let n = -22 - f. Factor -4/7*s**3 + 2/7*s**n + 0*s**2 + 4/7*s - 2/7.
2*(s - 1)**3*(s + 1)/7
Let m(x) be the second derivative of -x**9/1512 + x**8/210 - x**7/84 + x**6/90 + 4*x**3/3 + 12*x. Let u(r) be the second derivative of m(r). Factor u(h).
-2*h**2*(h - 2)*(h - 1)**2
Let u(v) = 3*v + 17. Let c be u(-3). Factor 8*l - 29*l**2 + 4 + c*l**2 + 13*l**2 + 12*l**2.
4*(l + 1)**2
Let h(z) = z**2 - 3*z. Let w be h(4). Factor 3*r - 3*r**3 + r**5 - 3 + 6*r**2 - r**3 - w*r**2 + 1.
(r - 1)**3*(r + 1)*(r + 2)
Let c = -907 + 911. Determine o, given that 10/7*o**2 - 6/7*o - 11/7*o**c + 1/7 + 6/7*o**5 + 0*o**3 = 0.
-1, 1/3, 1/2, 1
Suppose -7*v + 24 = -v. Suppose -2*q - v = -2*m, 4*m - 3 - 5 = q. Find h such that 25/3*h**4 - 20/3*h**3 + q + 4/3*h**2 + 0*h = 0.
0, 2/5
Find r, given that 24/11*r**4 + 64/11*r**2 + 0 + 0*r - 2/11*r**5 - 72/11*r**3 = 0.
0, 2, 8
Suppose -38 = 5*l - 13. Let o = l + 9. Find v such that o*v**3 - 4*v**2 + 4 - 4 = 0.
0, 1
Let s(q) be the second derivative of q**7/420 - q**6/10 + 9*q**5/5 - 18*q**4 + 7*q**3/3 + 11*q. Let o(x) be the second derivative of s(x). Factor o(n).
2*(n - 6)**3
Let w be (-5)/(30/18)*-2. Suppose -27 + 15 = -w*k. What is o in 2/5*o**5 - 4/5*o**3 + 2/5*o + 4/5 + 4/5*o**4 - 8/5*o**k = 0?
-2, -1, 1
Let q(f) = -f**2 + 9*f - 1. Let k be q(9). Let w = 3 + k. Factor 8/15*r + 8/15*r**3 + 2/15 + 2/15*r**4 + 4/5*r**w.
2*(r + 1)**4/15
Let f be (-6 + 5)*0 - 0. Let o(s) be the third derivative of 4/3*s**3 + 7/30*s**5 + f - 4/3*s**4 + 0*s - 4*s**2. Solve o(r) = 0 for r.
2/7, 2
Let i(o) = -3*o + 102. Let u be i(34). Let q(n) be the second derivative of 1/9*n**3 + u + 1/36*n**4 + 0*n**2 - 1/60*n**5 - 4*n. Factor q(t).
-t*(t - 2)*(t + 1)/3
Factor -1/4*a**2 + 21/8 + 11/8*a.
-(a - 7)*(2*a + 3)/8
Let i be 1*3*3*(-8)/(-360). Factor 0 + 0*h + i*h**3 - 1/5*h**2.
h**2*(h - 1)/5
Let y(q) = -q**4 + q**2 + 1. Let f(a) = -25*a**4 + 105*a**3 - 85*a**2 - 105*a + 140. Let d(s) = -f(s) + 30*y(s). Suppose d(o) = 0. What is o?
-22, -1, 1
Let v(g) = -g**2 - 13*g - 18. Let b be v(-10). Let z be 4/6*6/b. Factor 0 + 1/3*i**3 + z*i**2 - 2/3*i.
i*(i - 1)*(i + 2)/3
Let i(r) be the second derivative of r**9/9072 - r**8/5040 - r**7/1260 - 2*r**3 + 12*r. Let z(c) be the second derivative of i(c). Solve z(s) = 0.
-1, 0, 2
Factor 44/3*b - 2/3*b**3 + 10/3*b**2 + 32/3.
-2*(b - 8)*(b + 1)*(b + 2)/3
Suppose -24*m = -m - 161. Let i(n) be the third derivative of -m*n**2 + 0 - 2/105*n**7 + 0*n**3 + 0*n - 1/5*n**5 - 1/6*n**4 - 1/10*n**6. Factor i(w).
-4*w*(w + 1)**3
Suppose 2*x = x - 3. Let y(w) = -3*w**2 + 11*w + 6. Let r(s) = -s + 4*s + 2 - s**2 - 3*s + 4*s. Let c(d) = x*y(d) + 8*r(d). Find t, given that c(t) = 0.
-1, 2
Let a(s) = s**3 - s**2 + s. Suppose -9 = -t - 5. Let o(y) = 3*y**4 - 4*y**3 - 5*y**2 - 10*y. Let v(f) = t*a(f) + o(f). Suppose v(w) = 0. What is w?
-1, 0, 2
Let g(b) be the first derivative of -b**6/720 - 3*b**5/40 - 27*b**4/16 - 25*b**3/3 - 28. Let d(h) be the third derivative of g(h). Let d(o) = 0. Calculate o.
-9
Let y(d) be the third derivative of -d**5/480 - d**4/192 + d**3/8 + 82*d**2. Suppose y(n) = 0. Calculate n.
-3, 2
Suppose 10*d - 18 = 8*d. Suppose 7*u - 20 = -4*z + 3*u, z = 5*u - 13. Let -d*l**z + 4*l + 8*l**2 - 2*l = 0. What is l?
0, 2
Let b(f) be the second derivative of 2*f**6/15 + 9*f**5/5 + 8*f**4 + 32*f**3/3 + 6*f + 3. Determine y so that b(y) = 0.
-4, -1, 0
Let d(f) = -f**2 - 9*f + 5. Let r be d(-5). Solve -r*w**2 + 7*w - 20*w**5 + 8*w - 1586*w**4 - 115*w**3 + 1491*w**4 = 0 for w.
-3, -1, 0, 1/4
Let f = -208 + -21. Let j = 459/2 + f. Find a such that -1/3*a**2 + j*a**3 - 1/3 - 7/6*a = 0.
-1, -1/3, 2
Let c be (4 - (-150)/(-36)) + 215/30. Let x(p) be the second derivative of 0*p**2 - c*p - 1/10*p**6 + 3/4*p**5 + 0 - 2*p**4 + 2*p**3. Factor x(g).
-3*g*(g - 2)**2*(g - 1)
Let b(y) be the second derivative of -1/8*y**4 - 3/40*y**5 + 0 + 0*y**3 + 2*y + 0*y**2. Let b(m) = 0. What is m?
-1, 0
Let l = -16 - -26. Factor -15*k**2 + 3*k**4 + 2*k**3 - 5*k + 2*k**4 - 6*k**3 + l + 9*k**3.
5*(k - 1)**2*(k + 1)*(k + 2)
Suppose -2*r - 6 = -5*w, 4*r - 2 = -3*w + 6*r. Let 16*q**2 - 5*q - 170 + 5*q**3 - 6*q**w + 160 = 0. What is q?
-2, -1, 1
Let -1/7*j**3 + 5/7*j + 2/7*j**2 - 6/7 = 0. What is j?
-2, 1, 3
Let p be (2*(-35)/63)/(4/(-18)). Let i(l) be the second derivative of -1/30*l**4 - 1/100*l**p + 0*l**2 + 0*l**3 + 0 - 9*l. Factor i(g).
-g**2*(g + 2)/5
Suppose 81*r - 76*r - 12 = -j, 3*r = 2*j + 2. Factor 0*s**j + 21/8*s + 9/4 - 3/8*s**3.
-3*(s - 3)*(s + 1)*(s + 2)/8
Let m(i) be the first derivative of -i**8/2800 + 3*i**7/1400 - i**6/300 - i**3/3 - 18. Let q(n) be the third derivative of m(n). Determine d so that q(d) = 0.
0, 1, 2
Let l(h) be the second derivative of h**6/15 + h**5/5 - 2*h**3/3 - h**2 - 186*h. Factor l(a).
2*(a - 1)*(a + 1)**3
Let r(p) be the second derivative of -p**4/12 - 5*p**3/6 - 2*p**2 + 17*p + 2. What is l in r(l) = 0?
-4, -1
Find s, given that 1/7*s**4 + 0 + 4/7*s**3 + 0*s + 4/7*s**2 = 0.
-2, 0
Let q be (-88)/748*1/3*-24. Find d, given that -92/17*d**2 + 72/17*d - q + 30/17*d**3 = 0.
2/5, 2/3, 2
Solve -1/3*i**5 + i**4 - 11/3*i**2 - 4/3 + 4*i + 1/3*i**3 = 0 for i.
-2, 1, 2
Let q be (2 - -1)*(12 - 6 - 676/117). Suppose 0*o - 1/3*o**3 + 0 + q*o**2 = 0. What is o?
0, 2
Let q(p) be the third derivative of 11/45*p**5 + 1/36*p**6 + 8/9*p**3 + 7/9*p**4 + 0 + 0*p - 20*p**2. Solve q(d) = 0 for d.
-2, -2/5
Let c = -8068/3 + 2693. Find m, given that -m**3 - 4/3 - c*m**2 - 4*m = 0.
-2, -1, -2/3
Let a = 29 + -27. Find y, given that -2*y - 3*y**2 - 14*y + 20 - y**a = 0.
-5, 1
Suppose 2*z - 7*z + 40 = 0. Let d be z/(-6)*1785/(-10). What is x in -14*x**4 + 361*x**3 - 160*x - 524*x**2 - 6 - d*x**4 - 993*x**3 - 10 = 0?
-1, -2/7, -2/9
Let b(h) be the third derivative of 0*h - 1/27*h**4 + 4/135*h**5 + 0*h**3 + 0 + 1/945*h**7 - 23*h**2 - 1/108*h**6. Factor b(d).
2*d*(d - 2)**2*(d - 1)/9
Let i(p) be the third derivative of p**7/735 - p**6/21 + 10*p**5/21 - 123*p**2. What is h in i(h) = 0?
0, 10
Factor 54*a**2 - 8974 + 0*a**3 - 3*a**3 + 9022 - 99*a.
-3*(a - 16)*(a - 1)**2
Suppose 2/13*t**4 - 42/13*t + 86/13*t**2 - 46/13*t**3 + 0 = 0. What is t?
0, 1, 21
Let b = -137/4 - -415/12. Let i(n) be the first derivative of -3 - b*n**3 + 3/2*n - 3/4*n**4 + 5/4*n**2 + 1/12*n**6 - 1/10*n**5. Find l, given that i(l) = 0.
-1, 1, 3
Let a(w) = 2*w**2 + 8*w + 2. Let u = 2 + -8. Let m(n) = 2*n**2 + 8*n + 1. Let t(f) = u*m(f) + 7*a(f). Factor t(k).
2*(k + 2)**2
Let p = -44 + 12. Let f = 34 + p. Factor -8/3*x + 2/3*x**f + 8/3.
2*(x - 2)**2/3
Suppose -4*p - 3*p = 2*p. Let r(h) be the first derivative of -1 - 1/15*h**6 + p*h - 4/25*h**5 + 1/5*h**2 + 4/15*h**3 + 0*h**4. Suppose r(k) = 0. Calculate k.
-1, 0, 1
Factor 4/7*o**3 - 8/7*o**2 - 12/7*o + 0.
4*o*(o - 3)*(o + 1)/7
Suppose 0*t - 12*t**4 + 0 + 3/2*t**5 - 66*t**3 - 72*t**2 = 0. What is t?
-2, 0, 12
Let s(g) = -2*g**2 - 48*g + 50. Let z be s(1). Factor z + 1/4*v**2 + 3/4*v**3 + 0*v.
v**2*(3*v + 1)/4
Let u(t) be the first derivative of 1/6*t**2 + 1/9*t - 4/27*t**3 + 5. Factor u(d).
-(d - 1)*(4*d + 1)/9
Factor -90*m + 3/4*m**3 - 93 - 81/4*m**2.
3*(m - 31)*(m + 2)**2/4
Let w be 132*(5 + (-55)/10). Let h be 1 - 15/3 - w/16. Factor 0 - 1/8*g + 0*g**2 + h*g**3.
g*(g - 1)*(g + 1)/8
Let o(z) be the second derivative of 1/5*z**5 + 0*z**2 - 1/5*z**6 + 0*z**4 + 19*z + 0*z**3 + 1/21*z**7 + 0. Fa