f p**8/1008 - p**7/315 - p**6/40 + 11*p**5/90 + p**4/18 - 4*p**3/3 + 42*p**2. Find f such that l(f) = 0.
-3, -1, 2
Let -3*v**2 - 34*v**2 + 41*v**2 + 261 - 84*v - 45 = 0. What is v?
3, 18
Suppose 244 - 284 = -2*n. Factor 5*c**4 - 25 - 20*c**3 - n*c + 16 + 14 + 30*c**2.
5*(c - 1)**4
Let a(c) be the third derivative of c**6/8 - 19*c**5/12 + 35*c**4/8 - 25*c**3/6 + 60*c**2. Factor a(r).
5*(r - 5)*(r - 1)*(3*r - 1)
Suppose 4*g + 8 = 4*i, -4*i + g + 0*g = -14. Suppose -1 = -i*v + 7. Solve -3/2*w - 3/2*w**v + 3 = 0.
-2, 1
Let c(q) = -q**3 + 15*q**2 + 7*q - 16. Let r be c(15). Let m = r + -621/7. Solve 0 + m*b**2 - 2/7*b = 0.
0, 1
Let b(i) be the third derivative of 2*i**6/105 + 22*i**5/105 + 41*i**4/168 + 5*i**3/42 + 4*i**2 - 9. Determine p so that b(p) = 0.
-5, -1/4
Let s = 51 + -46. Solve -o - 480*o**3 + 0*o**5 - o**s + 482*o**3 = 0.
-1, 0, 1
Suppose 0 = g - 17 + 3. Let v be 28/14*4/g. Factor -2/7*j - 2/7*j**3 + 0 - v*j**2.
-2*j*(j + 1)**2/7
Let o(b) be the first derivative of -b**4 - 8*b**3/3 - 2*b**2 - 60. Factor o(s).
-4*s*(s + 1)**2
Determine m so that -80*m - 6374*m**3 - 6181*m**4 - 1626*m**3 + 1200*m**2 + 2 + 26181*m**4 = 0.
1/10
Let z(m) be the third derivative of -25*m**2 - 2/51*m**3 + 1/1020*m**6 - 1/204*m**4 + 0 + 0*m + 1/255*m**5. Factor z(o).
2*(o - 1)*(o + 1)*(o + 2)/17
Let d(s) = s**2 - 13*s + 23. Let q be d(11). Let g be (-1 + 1)*((-2)/4 + q). Let 2/5*f**2 + g*f**3 - 2/5*f**4 + 0*f + 0 = 0. What is f?
-1, 0, 1
Let z(g) be the first derivative of -4*g**6/27 - 34*g**5/45 + 10*g**4/9 + 44*g**3/27 - 16*g**2/9 - 10*g/9 - 134. Let z(l) = 0. Calculate l.
-5, -1, -1/4, 1
Let h(r) be the first derivative of -r**4/6 + r**2 - 3*r - 5. Let v(y) be the first derivative of h(y). Factor v(u).
-2*(u - 1)*(u + 1)
Let j be 4/(-1 + 15/5). Let r(y) be the first derivative of 1/9*y**6 + 1/2*y**4 + 2/9*y**3 + 2/5*y**5 + 0*y**j + 4 + 0*y. Factor r(k).
2*k**2*(k + 1)**3/3
Solve -4/7*v**4 + 108/7*v**3 + 120/7 + 356/7*v + 348/7*v**2 = 0 for v.
-1, 30
Factor 150/7*q**2 - 3/7*q**3 - 1875/7*q + 0.
-3*q*(q - 25)**2/7
Solve 2*m**2 + 7*m + 37*m + 46 - 4*m**2 = 0.
-1, 23
Suppose -x = 3, 184*z - 181*z = x + 9. Determine r so that 0 + 2/9*r**4 - 2/9*r**z + 4/9*r - 4/9*r**3 = 0.
-1, 0, 1, 2
Determine q so that -22*q**4 - 10*q**5 + 7*q**2 + 4*q**5 + q**2 + 8*q**4 = 0.
-2, -1, 0, 2/3
Find b such that 13*b**5 - 20*b**3 - 57*b**3 + 32*b**4 - 13*b**3 - 100*b**2 - 15*b**5 - 56*b**4 = 0.
-5, -2, 0
Factor 1/2*x**2 + 7/2 - 4*x.
(x - 7)*(x - 1)/2
Let i(b) be the first derivative of b**6/1440 - b**5/160 + 38*b**3/3 - 24. Let f(v) be the third derivative of i(v). Factor f(m).
m*(m - 3)/4
Let z(k) = k**2 + 7*k - 3. Suppose 8 = 3*q - 4*q. Let n be z(q). Suppose 85*h**2 - h**4 - 80*h + 35*h**3 - 25*h**n + 20 + 70*h**5 - 104*h**4 = 0. What is h?
-1, 2/3, 1
Let o = 184 + -186. Let q be 2 - (-10 - -11)*o/4. Find g such that -q*g + 5*g**3 + 0 - 5/2*g**5 + 0*g**2 + 0*g**4 = 0.
-1, 0, 1
Let l(d) be the second derivative of 0 - 1/16*d**3 + 3/80*d**5 + 5*d + 0*d**2 + 1/32*d**4. Factor l(o).
3*o*(o + 1)*(2*o - 1)/8
Let m = 39 + -25. Suppose -2*o = 8 - m. Let -2/5*h**2 + 8/5*h**o + 0*h + 0 = 0. Calculate h.
0, 1/4
Let j(y) = y**2 + y - 7. Let i(x) = -x**2 - x + 6. Let v(o) = -2*i(o) - 3*j(o). Let u be v(0). Find s, given that -12*s + 9 - 4*s**3 + 20*s**2 - u - 4*s**4 = 0.
-3, 0, 1
Let p(t) be the first derivative of -t**7/6720 + 13*t**6/2880 - t**5/20 + 3*t**4/16 - 4*t**3 - 22. Let y(m) be the third derivative of p(m). Factor y(k).
-(k - 6)**2*(k - 1)/8
Let q(i) = 11*i**2 + 6*i. Let r(h) = -2*h**2 - h. Let p be (-6 + -3)/(6/4). Let m(d) = p*q(d) - 34*r(d). Factor m(n).
2*n*(n - 1)
Let g(o) be the third derivative of -o**2 + 0 - 7/30*o**5 + 0*o - 1/12*o**6 - 1/4*o**4 - 1/105*o**7 + 0*o**3. Factor g(z).
-2*z*(z + 1)**2*(z + 3)
Let c(t) = 11*t**3 + 20*t**2 - 55*t + 30. Let v(l) = 2*l**3. Let o(h) = c(h) - 3*v(h). Let o(b) = 0. What is b?
-6, 1
Let u(k) be the second derivative of -k**4/6 - 8*k**3/3 + 9*k**2 + 82*k. Factor u(x).
-2*(x - 1)*(x + 9)
Let q(i) be the second derivative of 5*i**7/42 - 2*i**6 + 53*i**5/4 - 265*i**4/6 + 80*i**3 - 80*i**2 + 46*i. Let q(s) = 0. Calculate s.
1, 2, 4
Let 20*w**3 + 128 - 96*w - 31*w**4 + 84*w**3 + 370*w**5 - 366*w**5 - 5*w**4 - 80*w**2 = 0. What is w?
-1, 2, 4
Let f = -167773/5 + 33555. Find z such that 4/5*z - f*z**2 + 6/5 = 0.
-1, 3
Let p(c) = -15*c**4 + 380*c**3 + 6830*c**2 - 14840*c + 7585. Let s(a) = a**4 + a + 1. Let w(q) = -p(q) - 20*s(q). What is t in w(t) = 0?
-39, 1
Let s(l) be the first derivative of 4*l**5/5 - 3*l**4 - 8*l**3/3 + 24*l**2 - 32*l - 295. Let s(p) = 0. Calculate p.
-2, 1, 2
Let a(g) be the second derivative of -2/5*g**2 + 12*g + 0*g**3 + 1/15*g**4 + 0. Determine m, given that a(m) = 0.
-1, 1
Suppose 4*u - u - 12 = 0. Determine t so that 3*t**u + 8*t**4 - 6*t**4 - 5*t**3 = 0.
0, 1
Let w = -27 + 31. Factor 2*a**2 + 14*a - 1 + 1 - w*a.
2*a*(a + 5)
Suppose 102*u = 113*u - 22. Factor -1/3*m**3 + 2/3*m - 1/3*m**u + 0.
-m*(m - 1)*(m + 2)/3
Let c(w) = 6*w**3 - 17*w**2 - 6*w + 6. Let l(x) = -2*x**3 + 6*x**2 + 2*x - 2. Let t(q) = -4*c(q) - 11*l(q). Factor t(d).
-2*(d - 1)**2*(d + 1)
Let g(m) be the first derivative of -m**5/5 - 4*m**4/3 - 10*m**3/3 - 4*m**2 + 13*m - 14. Let h(y) be the first derivative of g(y). Let h(c) = 0. What is c?
-2, -1
Let o(k) be the third derivative of 5/18*k**3 + 1/12*k**5 + 0 - 1/18*k**6 + 0*k - 2/63*k**7 - 12*k**2 + 5/18*k**4. What is b in o(b) = 0?
-1, -1/2, 1
Factor -488*k**3 - 2*k + 490*k**3 - 34 + 4*k**2 + 30*k**2.
2*(k - 1)*(k + 1)*(k + 17)
Let a(y) = 4*y**3 - 16*y**2 + 16*y + 3. Let v(p) = 12*p**3 - 60*p**2 + 2 + 48*p + 6 + 12*p**2. Let u(m) = -8*a(m) + 3*v(m). Let u(s) = 0. What is s?
0, 2
Suppose 25 = 5*p, 3*l - 2*p = 2*l - 18. Let t be 5 + 0 + l/(-4). Factor -t*s - 2*s**2 - 48 - s**2 + 31*s.
-3*(s - 4)**2
Let f(h) be the second derivative of h**5/80 + 63*h. Determine n, given that f(n) = 0.
0
Let x(k) = -21*k**2 - 1944*k - 188184. Let w(p) = 235*p**2 + 21385*p + 2070025. Let j(n) = -4*w(n) - 45*x(n). Factor j(q).
5*(q + 194)**2
Let w(c) be the first derivative of c**7/735 + c**6/420 - c**5/210 - c**4/84 - 9*c**2/2 - 4. Let l(o) be the second derivative of w(o). Factor l(j).
2*j*(j - 1)*(j + 1)**2/7
Let f(t) = -2*t**3 + 2*t**2 + 3*t - 2. Let u be f(-2). Let b be u/(-42) - 4/(-6). Determine q so that b*q**2 - 8/7 + 0*q = 0.
-2, 2
Find w, given that 11163/5*w**2 + 0 - 183/5*w**3 + 1/5*w**4 - 226981/5*w = 0.
0, 61
Let x be (-108)/9*(-15)/40. Let s(k) be the first derivative of k + x*k**6 - 9/2*k**4 + 3 - 9/2*k**2 - 27/5*k**5 + 26/3*k**3. Let s(w) = 0. What is w?
-1, 1/3, 1
Let k(m) = -m**2 + 1. Suppose -12*f + 3 = -15*f. Let p(q) = -4*q**2 - 40*q + 108. Let g(b) = f*p(b) + 8*k(b). Find x, given that g(x) = 0.
5
Let r(b) be the second derivative of 5*b**4/12 + 100*b**3 + 9000*b**2 - 33*b. Find v such that r(v) = 0.
-60
Suppose 25*y - 8*y = -2*y. Suppose 0 = o + 2*o - 6. Factor 1/3*x**5 - 2/3*x + 1/3*x**4 - 5/3*x**o + y - x**3.
x*(x - 2)*(x + 1)**3/3
Let k(w) = 16*w**4 + 11*w**3 - 31*w**2 + 5*w + 25. Let u(y) = -23*y**4 - 16*y**3 + 47*y**2 - 7*y - 35. Let n(m) = 7*k(m) + 5*u(m). Factor n(p).
-3*p**2*(p - 2)*(p + 3)
Let y = 851 - 848. Let s(o) be the first derivative of -2/3*o**y + 8 + 0*o**2 + 1/3*o**4 + 2/3*o. Factor s(m).
2*(m - 1)**2*(2*m + 1)/3
Let y(a) = a**4 - 2*a**3 + a. Let x(j) = -j**5 + 3*j**4 - 20*j**3 - 4*j**2 + 6*j. Let f(t) = 2*x(t) - 14*y(t). Find o, given that f(o) = 0.
-1, 0
Let z(g) be the first derivative of 2*g**6/15 + g**5/5 - g**4/3 - 2*g**3/3 + 20*g - 35. Let c(i) be the first derivative of z(i). Factor c(n).
4*n*(n - 1)*(n + 1)**2
Let c(m) be the second derivative of -m**5/240 + m**4/16 + 53*m**3/36 + 4*m**2 + 287*m. Factor c(t).
-(t - 16)*(t + 1)*(t + 6)/12
Suppose 7*p - 5*i + 8 = 9*p, p + 2*i - 4 = 0. Let w(q) be the third derivative of -6*q**2 + 1/40*q**6 + 0*q**3 + 0 + 0*q + 0*q**5 + 0*q**p. Factor w(v).
3*v**3
Find x such that 40/3 - 10*x**2 + 8/3*x**3 + 2/9*x**4 + 8/9*x = 0.
-15, -1, 2
Let -10/9*n + 4/3 + 2/9*n**3 - 4/9*n**2 = 0. What is n?
-2, 1, 3
Let r be (4 - -28)/(-4)*-1. Let t = 12 - r. Factor -7*f - 4 + t*f**2 + 5*f + 4*f**3 - 2*f**3.
2*(f - 1)*(f + 1)*(f + 2)
Suppose -12 = -4*c - 4*x, 2*x = -c + 74 - 72. Let u(z) be the second derivative of -5/6*z**c + 0 + 0*z**2 - 1/8*z*