= o**4 - 6*o**3 + 8*o**2 + 3*o. Let u(j) = q*k(j) - 3*w(j). Find a, given that u(a) = 0.
0, 1, 5
Factor 180 - 35*o + 5/3*o**2.
5*(o - 12)*(o - 9)/3
Let n(b) = 34*b**3 - 2*b**2 + 2. Suppose -2*z + 12 = 10. Let f be n(z). Suppose 40 + 39*d + 44*d + 33*d + 35*d**2 + f*d = 0. What is d?
-4, -2/7
Let r(d) be the second derivative of -d**5/100 + 2*d**4/15 - d**3/6 - 7*d**2/5 - 39*d - 1. Solve r(v) = 0 for v.
-1, 2, 7
Suppose -1377*j**3 + 68*j + 0 - 4/3*j**2 + 27*j**4 = 0. Calculate j.
-2/9, 0, 2/9, 51
Determine n, given that 2/3*n**4 + 26/3*n**3 + 184/3*n + 112/3*n**2 + 32 = 0.
-6, -4, -2, -1
Factor -65*w**2 - 87630 - 140*w**3 + 87630 - 21*w**4 + 50*w - 4*w**4.
-5*w*(w + 1)*(w + 5)*(5*w - 2)
Suppose 5904 = -2*q - 4*q. Let d = -117 - q. Factor -3 + 14*z + 86*z + 2*z - d*z**2.
-3*(17*z - 1)**2
Let r(b) be the second derivative of -b**5/20 - 58*b**4/3 - 461*b**3/6 - 115*b**2 - 1988*b. Factor r(h).
-(h + 1)**2*(h + 230)
Let n(m) = -m**3 + m + 1. Let x(s) = -3*s**5 - 7*s**4 - 4*s**3 + 27*s**2 + 31*s + 15. Let u(c) = 11*n(c) - x(c). Let u(a) = 0. What is a?
-2, -1, -1/3, 2
Let i(j) = 57*j - 54. Let h be i(-6). Let m be 4/22 - (-72)/h. Factor -2/11*c**2 + m*c + 2/11*c**3 + 0.
2*c**2*(c - 1)/11
Let s(i) be the third derivative of -i**6/24 + 2*i**5 - 75*i**4/8 - 1125*i**3 + 7149*i**2. Let s(z) = 0. Calculate z.
-6, 15
Let o(y) be the third derivative of -86*y**2 + 0*y**3 + 0*y**4 - 1/280*y**6 + 0*y - 3/28*y**5 + 0. Find k, given that o(k) = 0.
-15, 0
Let d(k) be the third derivative of k**7/6300 + k**6/360 - k**5/50 + k**4/6 - 5*k**3/2 + 3*k**2. Let b(f) be the second derivative of d(f). Factor b(y).
2*(y - 1)*(y + 6)/5
Let b(m) be the third derivative of -m**8/3696 + m**7/2310 + m**6/330 - m**5/165 - 3024*m**2. Find j such that b(j) = 0.
-2, 0, 1, 2
Factor 5*l**3 + 404*l**2 - 2*l + 2*l + 452*l**2 - 891*l**2.
5*l**2*(l - 7)
Let x(a) be the third derivative of a**5/45 + 73*a**4/2 + 221*a**2 + 8*a. Solve x(p) = 0.
-657, 0
Suppose 73*d + 2*d + 0*d + 29*d = 0. Let h(t) be the third derivative of 3/8*t**3 - 1/240*t**5 + 30*t**2 + 0*t + d + 0*t**4. What is k in h(k) = 0?
-3, 3
Let j = 428 + -359. Factor -j - 4*b**2 - 51*b + 3*b**2 - 2*b**2 - 21*b.
-3*(b + 1)*(b + 23)
Let b(f) be the third derivative of -f**5/80 - 57*f**4/32 - 7*f**3 + f**2 + 250. Solve b(g) = 0.
-56, -1
Factor -40*s**2 + 372*s + s**3 - 732 + 520 - 796.
(s - 28)*(s - 6)**2
Let r(g) be the second derivative of -61*g**3/6 - 549*g**2/2 - 410*g. Let x be r(-9). Let 0*h - 10/3*h**2 + 6*h**3 - 2/3*h**5 - 2*h**4 + x = 0. Calculate h.
-5, 0, 1
Let j = 31 + -28. Suppose -j*x + 8 = f, 0 = 3*f + 5*x - 0*x - 16. Suppose 4*b**3 + 12*b**4 - b**f - 10*b**2 + 11*b**2 = 0. Calculate b.
-1/3, 0
Let x(h) be the first derivative of 53*h**3/3 - 3*h**2/2 + 4*h + 12. Let w be x(2). Factor 11*j**2 - 81 + w*j - 3*j**3 - 291*j - 38*j**2.
-3*(j + 3)**3
Let b be (-162)/9*56/(-12). What is y in 3*y**4 + 441 - 192 + 69*y**2 + 24*y**3 + b*y - 213 = 0?
-3, -2, -1
Let r(z) be the second derivative of -27*z - 1/10*z**5 - 31/6*z**4 + 2 + 31*z**2 + 1/3*z**3. Factor r(d).
-2*(d - 1)*(d + 1)*(d + 31)
Let f(r) be the second derivative of 1/3*r**5 + 0 + 250/9*r**3 - 9*r**2 + 7*r - 25/6*r**4 - 1/90*r**6. Let u(a) be the first derivative of f(a). Factor u(x).
-4*(x - 5)**3/3
Let j be (8/(-28))/((-170)/21 + 3 - -5). Factor j - 3/4*p**3 - 13/4*p**2 - 2*p.
-(p + 2)*(p + 3)*(3*p - 2)/4
Let -2*t + 1/3*t**2 + 8/3 = 0. Calculate t.
2, 4
Suppose -5*a + g + 9 = -12, 5*a + 4*g = -9. Factor -3/4*n**3 + 3/2*n**2 - 6 + a*n.
-3*(n - 2)**2*(n + 2)/4
Let s(m) be the third derivative of -m**5/60 - 7*m**4/6 + 29*m**3/6 + 1137*m**2. Factor s(c).
-(c - 1)*(c + 29)
Let z = -71/7821 - -28/711. Let a(y) be the first derivative of 1/22*y**4 + 0*y**5 + 0*y + 12 + 0*y**3 + 0*y**2 - z*y**6. Factor a(b).
-2*b**3*(b - 1)*(b + 1)/11
Suppose -40176*w = 40184*w - 80334*w - 26. Factor 1/4*m**2 - w + m - 1/4*m**3.
-(m - 2)*(m - 1)*(m + 2)/4
Factor -2*o**2 + 124/5*o - 154/5.
-2*(o - 11)*(5*o - 7)/5
Find g such that 91*g**2 - 119*g**2 + 3*g**4 - 5*g**4 - 816*g**2 - 14*g**2 - 3388*g - 72*g**3 = 0.
-14, -11, 0
Let k be (147/(-120) - 0) + 3/(-8). Let b = k + 116/35. Factor -18/7*h**2 - b*h - 2/7.
-2*(3*h + 1)**2/7
Let 320/7 - 88/7*f**2 - 144/7*f + 36/7*f**3 + 2/7*f**4 = 0. Calculate f.
-20, -2, 2
Solve 1/2*u**2 + 84*u + 167/2 = 0.
-167, -1
Let f = 406 + -400. Let n(v) be the third derivative of -v**2 - 1/210*v**f + 4/7*v**3 - 13/42*v**4 + 0*v + 0 + 8/105*v**5. Find a, given that n(a) = 0.
1, 6
Let o be (-6)/(-9) - (-4)/(-6). Let y = 4/1407 - -2794/7035. Solve -y*k**2 + o + 6/5*k = 0 for k.
0, 3
Let j(q) be the first derivative of 1/6*q**3 + 78 - 1/8*q**4 + 0*q + 1/2*q**2. Find t such that j(t) = 0.
-1, 0, 2
Let d(v) = -3*v**2 + 61*v - 17. Let l be d(20). Suppose y**l - 284*y**2 + 0 + 282*y**2 - 24 - 20*y = 0. What is y?
-2, 6
Suppose -890*i + 664 + 589 = -1417. Let m be 10/6*8/10. Determine j so that -58/3*j**2 + 29/3*j**i + 8/3 - m*j + 50/3*j**4 - 25/3*j**5 = 0.
-1, -2/5, 2/5, 1, 2
Let u(c) = -c**3 + 355*c**2 + 3129*c + 2765. Let a(l) = 30*l**3 - 11005*l**2 - 97000*l - 85715. Let b(q) = -4*a(q) - 125*u(q). Factor b(x).
5*(x - 79)*(x + 1)*(x + 7)
Let k be (-2)/10*(-35 + 6699/210 - (-6)/10). Determine r so that 3/4*r - k + 1/2*r**2 - 3/4*r**3 = 0.
-1, 2/3, 1
Let r(p) be the first derivative of 24*p + 13 + 1/54*p**4 + 0*p**3 + 0*p**2 + 1/90*p**5. Let n(j) be the first derivative of r(j). Factor n(b).
2*b**2*(b + 1)/9
Let o(z) = -z**2 + 120*z - 120*z + 1. Let d(x) = -3*x**3 - 2*x**2 + 18*x + 5. Let s(g) = d(g) - 5*o(g). Factor s(w).
-3*w*(w - 3)*(w + 2)
Let n(b) be the first derivative of b**4/60 + 4*b**3/5 - 5*b**2/2 + 60*b + 163. Let a(p) be the first derivative of n(p). Suppose a(m) = 0. Calculate m.
-25, 1
Let p(d) be the second derivative of d**7/3780 - d**6/270 + d**5/45 + 7*d**4/4 + d**3/6 + 20*d. Let q(k) be the third derivative of p(k). Factor q(h).
2*(h - 2)**2/3
Let y(z) be the first derivative of 98*z**3/3 - 231*z**2 + 124*z - 11355. Find j such that y(j) = 0.
2/7, 31/7
Factor 24/5*q - 36/5 - 4/5*q**2.
-4*(q - 3)**2/5
Factor -1/3*n**4 + 350/3 + 119/3*n**2 - 155*n - n**3.
-(n - 5)**2*(n - 1)*(n + 14)/3
Let r be 232/(-10)*270/(-36). Factor -16*n**2 - r*n - 5*n**2 + 168*n - 15*n**3.
-3*n*(n + 1)*(5*n + 2)
Suppose 29*j + 48 + 96 + 11 + 5*j**2 - 189*j = 0. Calculate j.
1, 31
Let t be 2/(-123969)*-1878319*462/252. Let a = t + -1/41323. Factor -64/9*h**3 - 4/9*h**4 - 40*h**2 - a - 800/9*h.
-4*(h + 1)*(h + 5)**3/9
Let u = -547724 + 547728. Find n such that -608*n**2 - 640*n + 158/5*n**3 + 0 - 2/5*n**u = 0.
-1, 0, 40
Let u(c) = -26*c**4 - 22*c**3 + 26*c**2 + 14*c + 8. Let s(k) = k**4 - k**3 - 5*k**2 - 2*k - 1. Let r(b) = -8*s(b) - u(b). Factor r(x).
2*x*(x + 1)*(3*x + 1)**2
Let z = 427677/4 + -106918. Factor -5/4*c - 5/4*c**4 - 5/4 - z*c**5 + 5/2*c**2 + 5/2*c**3.
-5*(c - 1)**2*(c + 1)**3/4
Let o = 314024 + -314021. Factor 2/3*q**2 + 0*q + 0 - 32/9*q**o.
-2*q**2*(16*q - 3)/9
Let r(t) be the first derivative of t**6/6 - 4*t**5/5 - 3*t**4 + 3. Factor r(w).
w**3*(w - 6)*(w + 2)
Let x(j) be the third derivative of j**7/105 + 11*j**6/60 + 4*j**5/5 - 3*j**4 - 3*j**2 - 176. Let x(t) = 0. What is t?
-6, 0, 1
Find r, given that -164/3*r + 320/3 + 2/3*r**2 = 0.
2, 80
Let n(z) be the second derivative of z**6/15 + 19*z**5/10 - 21*z**4/2 + 65*z**3/3 - 22*z**2 - 58*z + 4. Find w such that n(w) = 0.
-22, 1
Factor -32/7*o + 10/7 + 6/7*o**2.
2*(o - 5)*(3*o - 1)/7
Let k be (-45 - -43)/(7 - 1)*-2. Let g = -84 - -254/3. Factor 4/3*f - g*f**2 - k.
-2*(f - 1)**2/3
Let j(q) be the third derivative of 1/140*q**6 + 11/21*q**3 + 89*q**2 + 0*q - 11/210*q**5 - 1/28*q**4 + 0. Factor j(a).
2*(a - 1)*(a + 1)*(3*a - 11)/7
Let c = 39301 - 39301. What is a in c + 0*a - 2/3*a**2 = 0?
0
Let a = 192 + -188. Factor -54*b**2 - 21*b**3 - 60*b - 23*b**a - 23*b**4 + 43*b**4 - 24.
-3*(b + 1)*(b + 2)**3
Let i(s) be the first derivative of s**3/12 - 7*s**2/4 + 10*s + 865. What is w in i(w) = 0?
4, 10
Suppose -q + 0*f + 3*f + 22 = 0, -2*q + 4*f = -34. Suppose q*b - b - 354 = 0. Suppose 2*j**2 + 13 + 207*j - 183*j + b = 0. What is j?
-6
Let d = -174 + 185. Solve 11*g**2 + 3*g - g**2 - d*g**2 = 0 for g.
0, 3
Let t(x) be the third derivative of -x**8/1680 + 3*x**7/350 + 11*x**6/300 + x**5/150 - 7*x**4/40 - 11*x**3/30 - x