rmine m, given that i(m) = 0.
-2
Let q be ((135/(-10))/9)/((-63)/(-12) + -6). Let u(x) be the first derivative of 1/2*x**2 + q*x**4 + 11/6*x**3 + 0*x + 7/10*x**5 - 16. Factor u(j).
j*(j + 1)**2*(7*j + 2)/2
Let x(n) = -n + 8. Let c be x(5). Let s(b) = -b**2 - 18*b - 48. Let a be s(-14). Determine h so that 57*h**3 - 45*h**c + 0*h**5 - a*h**2 - 5*h**5 + h**5 = 0.
-2, 0, 1
Let k(c) be the first derivative of c**6/6 - 9*c**5/5 + 3*c**4 + 64*c**3/3 - 96*c**2 + 144*c - 8456. Factor k(t).
(t - 6)*(t - 2)**3*(t + 3)
Let w(h) = 54*h**2 + 1012*h + 278. Let m(c) = 23*c**2 + 506*c + 140. Let g(u) = -5*m(u) + 2*w(u). Find a such that g(a) = 0.
-72, -2/7
Let c = -1849/90 - -103/5. Let o(x) be the second derivative of -1/60*x**5 + 0 - 17*x + c*x**4 - 1/18*x**3 + 0*x**2. Factor o(j).
-j*(j - 1)**2/3
Suppose 20*k - 6*k = 6*k. Suppose 0 = -2*d - l + 2, k = -d + 6*l - 11*l - 8. Factor -2/3*p**4 + 8/3*p**d - 2/3*p**3 + 8/3*p + 0.
-2*p*(p - 2)*(p + 1)*(p + 2)/3
Let k(c) be the second derivative of -c**6/150 - c**5/25 + c**4/5 + 16*c**3/15 + 65*c**2/2 - c - 3. Let b(i) be the first derivative of k(i). Factor b(o).
-4*(o - 2)*(o + 1)*(o + 4)/5
Let g(p) = -49*p**4 - 142*p**3 - 209*p**2 - 94*p + 11. Let t(j) = -17*j**4 - 47*j**3 - 70*j**2 - 32*j + 4. Let d(z) = 4*g(z) - 11*t(z). Factor d(u).
-3*u*(u + 1)*(u + 4)*(3*u + 2)
Let s(y) be the third derivative of y**7/1260 + y**6/180 - 7*y**5/120 + y**4/36 + 7*y**3/9 - 113*y**2 - 2. Factor s(a).
(a - 2)**2*(a + 1)*(a + 7)/6
Let v(d) be the third derivative of 0*d - 5/18*d**4 + 1/540*d**6 - 1/20*d**5 + 4/3*d**3 - 27*d**2 + 0. Let q(p) be the first derivative of v(p). Factor q(b).
2*(b - 10)*(b + 1)/3
Let g(y) be the second derivative of -y**6/30 - y**5 - 29*y**4/3 - 80*y**3/3 + 4752*y. Factor g(i).
-i*(i + 2)*(i + 8)*(i + 10)
Let m be 8/40*(-4)/(-12). Let s(r) be the second derivative of 0 - 1/60*r**4 - m*r**3 + 0*r**2 + 12*r + 1/100*r**5. Determine n, given that s(n) = 0.
-1, 0, 2
Let q(m) be the third derivative of 0 + 0*m**3 + 2/105*m**7 - 1/15*m**6 - 4*m + 4/3*m**4 - 4/15*m**5 - 18*m**2. Solve q(o) = 0 for o.
-2, 0, 2
Let s(t) be the third derivative of -t**5/330 - 625*t**4/132 + 126*t**2 + 13*t + 2. Factor s(j).
-2*j*(j + 625)/11
Let r be (11 + -1 + -9)*(-13)/(351/(-72)). Find q such that -20/3 + 1/3*q**2 + r*q = 0.
-10, 2
Factor 800/9*s - 2804/9*s**2 + 14/9*s**3 + 0.
2*s*(s - 200)*(7*s - 2)/9
Determine b, given that 1434/7*b**2 - 2/7*b**3 + 0 + 1436/7*b = 0.
-1, 0, 718
Suppose 10*l - 9*l = -5, -3*f - 3*l + 351 = 0. Let t = -120 + f. Factor -3*y - 9/2*y**3 + 15/2*y**t + 0.
-3*y*(y - 1)*(3*y - 2)/2
Let s(z) be the second derivative of 0*z**2 - 7/100*z**5 + 50*z - 7/150*z**6 - 1/105*z**7 + 0*z**3 + 0 - 1/30*z**4. Let s(h) = 0. What is h?
-2, -1, -1/2, 0
Factor 114*d - 357*d - 553 - 350 - 3*d**2 + 500 - 299.
-3*(d + 3)*(d + 78)
Let -539*l + l**5 - 714*l**3 - 117667*l**4 + 1444*l**2 - 429*l + 117782*l**4 = 0. What is l?
-121, 0, 2
Let p(y) be the first derivative of -y**6/1980 + y**4/33 - 31*y**3/3 - 74. Let c(h) be the third derivative of p(h). Factor c(z).
-2*(z - 2)*(z + 2)/11
Suppose l - 9 = -3*y, -22 = -63*l + 59*l - 5*y. Let o(w) be the first derivative of -21 + 1/6*w - 1/18*w**l + 0*w**2. Suppose o(g) = 0. What is g?
-1, 1
Suppose -2*w = 2*k - 134, -2*w + 57 = k + w. Let d = -8 + k. Factor 1912*b**3 + 23*b**2 + d*b + 25*b**2 - 2*b**4 - 1900*b**3 + 3*b**4.
b*(b + 4)**3
Let p(t) be the first derivative of 1/45*t**5 - 87 + 588*t**2 + 16/9*t**4 + 1029*t + 154/3*t**3. Find j such that p(j) = 0.
-21, -1
Let l(t) be the first derivative of -4*t**3/3 - 4212*t**2 - 4435236*t + 3964. Let l(j) = 0. What is j?
-1053
Suppose -1401*h = -1194*h - 1035. Let z = 4 - 1. Find g such that 2/13*g**h + 4/13 + 2/13*g + 4/13*g**4 - 8/13*g**2 - 4/13*g**z = 0.
-2, -1, 1
Suppose 9*h + 15*h = 528. Let n be 1/8*((h - 6) + -10). Factor 3/4*t**5 + 0 - n*t**3 + 0*t - 3/4*t**2 + 3/4*t**4.
3*t**2*(t - 1)*(t + 1)**2/4
Let x(u) be the first derivative of -u**5/20 + u**4/8 + 319*u**3/12 - 605*u**2/2 + 4985. Solve x(k) = 0.
-20, 0, 11
Let l(f) be the second derivative of f**4/84 - f**3/21 - 5*f**2/2 + 1285*f. Factor l(p).
(p - 7)*(p + 5)/7
What is o in 883*o**4 - 891*o**4 - 1300829*o**2 - 1367195*o**2 + 2681928 + 4032156*o - 9252*o**3 = 0?
-579, -1/2, 2
Factor -3442688/17*u - 2/17*u**3 + 5248/17*u**2 + 0.
-2*u*(u - 1312)**2/17
Determine j, given that -5192/5*j + 4/5*j**2 + 1684804/5 = 0.
649
Let m be 93/42 + 2004/(-9352). What is d in -5/8*d**m + 3/4*d - 1/8*d**3 + 0 = 0?
-6, 0, 1
Let l(w) be the first derivative of 7*w**6 - 26*w**5/5 - 117*w**4/2 - 66*w**3 - 4*w**2 + 24*w - 509. Solve l(z) = 0.
-1, -2/3, 2/7, 3
Let z(c) be the second derivative of -c**6/120 + 17*c**5/40 + 49*c**4/16 + 47*c**3/6 + 19*c**2/2 + 390*c. Factor z(i).
-(i - 38)*(i + 1)**2*(i + 2)/4
Let 672/5 - 76/5*s**2 - 4/5*s**3 + 40*s = 0. What is s?
-21, -2, 4
Suppose -p = 2*z - 12, -3*z + 27 = 146*p - 143*p. Factor -23/3*l - 4 + 2/3*l**2 + 8*l**z - 1/3*l**5 + 10/3*l**4.
-(l - 12)*(l - 1)*(l + 1)**3/3
Let m(f) = 35*f**4 - 1087*f**3 + 10162*f**2 - 3913*f. Let v(o) = 123*o**4 - 3804*o**3 + 35568*o**2 - 13698*o. Let h(s) = -18*m(s) + 5*v(s). Factor h(y).
-3*y*(y - 18)**2*(5*y - 2)
Let d(w) = 176*w - 872. Let g be d(5). Let a(j) be the first derivative of -20/3*j**3 + j**5 - 5*j**2 + g + 15*j + 5/2*j**4. Solve a(z) = 0.
-3, -1, 1
Let c(x) be the third derivative of x**5/210 + 3*x**4/14 + 8*x**3/3 + 2386*x**2. Determine i, given that c(i) = 0.
-14, -4
Suppose -59 = -h - 63. Let a be (h - (-4 - 2))/4. Suppose a*s**3 - 1/2*s**2 - 1/2*s + 1/2 = 0. Calculate s.
-1, 1
Let q be -12 + 7/((-441)/(-994)) - (-36)/162. Find k such that 1/3*k**3 + 0 - 7/3*k**2 + q*k = 0.
0, 3, 4
Let w = 566 - 564. Factor 3*p**3 + 9216*p + 30302 - 26277 - 102329 - 288*p**w.
3*(p - 32)**3
Let o = 313 + -169. Let k be -3*(o/(-40))/9. Suppose 2/5*x**5 - 6/5*x**2 + k*x**4 + 0 - 4/5*x + 2/5*x**3 = 0. What is x?
-2, -1, 0, 1
Let l(m) = -m**3 + 5*m**2 - m - 7. Let q be l(4). Let p be ((-9)/6)/(q/(-10)). Factor -r**4 - 3*r**5 - 280*r**p + 284*r**3 - r**4 + r**5.
-2*r**3*(r - 1)*(r + 2)
Let a be (6 - 2)/((-1)/(-2 - -1)). Let -4*c**5 + 14*c**5 + 17*c**4 + 5*c**3 - 2*c**a = 0. Calculate c.
-1, -1/2, 0
Let h(w) be the first derivative of 32*w**2 - 23*w**2 + 14*w**2 + 24 + 1 + 16*w + 17*w**2 - 100*w**3. Let h(x) = 0. Calculate x.
-2/15, 2/5
Let n(k) = -k**5 - k**4 + k**3 + k**2 - k. Let d(s) = -60*s**5 + 4*s**4 + 4*s - 11*s**2 - 16*s**3 + 68*s**5 - s**2. Let r(m) = -d(m) - 4*n(m). Factor r(t).
-4*t**2*(t - 2)*(t + 1)**2
Find s such that -90/7 - 36/7*s**2 + 152/7*s - 24/7*s**3 - 2/7*s**4 = 0.
-9, -5, 1
What is j in 1/7*j**2 - 946/7*j + 223729/7 = 0?
473
Solve 4/5*c - 1/5*c**3 - c**2 + 4 = 0.
-5, -2, 2
Find a such that 10*a**2 + 28*a - 9*a**3 - 5/2*a**4 + 0 + 1/2*a**5 = 0.
-2, 0, 2, 7
Factor 3485/4*w - 1735/4*w**2 - 5/4*w**3 - 1745/4.
-5*(w - 1)**2*(w + 349)/4
Let r = 2474/21 + -806/7. Factor 1/3*v**4 + 2/3*v**3 - v**2 - r*v - 4/3.
(v - 2)*(v + 1)**2*(v + 2)/3
Let h = -614/1869 + 2300/267. Solve -48/7*o**2 + 8/7*o - 18/7*o**4 + h*o**3 + 0 = 0.
0, 2/9, 1, 2
Let t(r) be the third derivative of r**5/450 - 71*r**4/90 - 143*r**3/45 + 3396*r**2. Factor t(y).
2*(y - 143)*(y + 1)/15
Suppose y - 39 = -5*o, 4*y - 54 + 59 = 3*o. Let u(f) be the first derivative of -12/5*f**5 + 0*f**2 - 31 + 4*f - 8*f**y - 8*f**3. Solve u(c) = 0.
-1, 1/3
Let j(h) = -2*h**2 - 12*h - 8. Let i be j(-5). Factor -71 + 48*d**2 - 148*d**i - 179 + 644*d + 65*d**2 + 241*d.
-5*(d - 25)*(7*d - 2)
Suppose -17*d**2 - d + 85199 + 32*d + d**3 - 85214 = 0. Calculate d.
1, 15
Let b be (-1)/(-7 + 2 + 1). Let p be (14875/34)/(-35) - -14. Find h such that -b*h**2 + p - 1/4*h = 0.
-3, 2
Let y = -962757/7 - -137537. Factor 4/7*d + 2/7 + y*d**2.
2*(d + 1)**2/7
Let b(o) be the first derivative of -3/4*o**4 + 3/2*o**2 - 3/5*o**5 - 18*o - 38 + 7*o**3. Find s, given that b(s) = 0.
-3, -1, 1, 2
Let j(k) = 45*k**2 - 3646*k + 83. Let a be j(81). Find f such that 1/3*f**4 + f - f**3 - 5/3*f**a + 4/3 = 0.
-1, 1, 4
Let n(m) be the first derivative of -9*m**6 - 3*m**5 + 258*m**4 + 635*m**3 + 168*m**2 - 180*m - 1980. Determine u, given that n(u) = 0.
-3, -2, -1/2, 2/9, 5
Determine q, given that 25*q - q**2 - 569 - q**2 + 7*q**2 + 149 = 0.
-12, 7
Let l = 401/4 - 3207/32. Let s = l + 49/480. Find h