 17)*(r - 2)
Let m(b) be the first derivative of -37/7*b + 18/7*b**2 + 1/21*b**3 - 179. Determine w so that m(w) = 0.
-37, 1
Let m(y) = y**2 - 29*y + 137. Let h be m(25). Factor 5954*a - 5972*a + h + 2*a**2 - 9.
2*(a - 7)*(a - 2)
Solve -51/5*c + 3/5 + 48/5*c**2 = 0 for c.
1/16, 1
Suppose 78*u - 13620 = 63*u. Suppose -908 + 3*o**3 - 15*o**2 - 42*o + u = 0. Calculate o.
-2, 0, 7
Solve 36/19*a**3 - 4/19*a**5 - 6/19*a**4 - 16/19*a**2 + 0 + 0*a = 0 for a.
-4, 0, 1/2, 2
Let -88/5*x**4 + 864/5*x**3 - 4738/5*x + 2/5*x**5 + 2564/5*x**2 - 6348/5 = 0. Calculate x.
-3, -1, 2, 23
Let m(u) be the first derivative of -3*u**4/4 + 756. Find d such that m(d) = 0.
0
Let c(r) be the first derivative of 4*r**5/5 + 6*r**4 + 16*r**3/3 - 12*r**2 - 20*r + 1546. Factor c(x).
4*(x - 1)*(x + 1)**2*(x + 5)
Suppose 16*c - 11*c + 64 = 21*c. Let t(l) be the second derivative of -15/2*l**3 - 21*l - 5/12*l**c + 0*l**2 + 0. Determine n, given that t(n) = 0.
-9, 0
Let v(l) be the first derivative of -7*l**4/60 - 13*l**3/15 + 4*l**2/5 - 101*l + 215. Let u(s) be the first derivative of v(s). Find r such that u(r) = 0.
-4, 2/7
Suppose 0 = 4*i + 5*w + 90, 3*i + 9*w + 14091 = 13908. Let 1/2*l**4 + 3/4*l + 1/4*l**i - l**3 - 1/2*l**2 + 0 = 0. What is l?
-3, -1, 0, 1
Factor 0 + 584/7*o - 2/7*o**2.
-2*o*(o - 292)/7
Let x be 0 + -2 + (8 - 3). Solve -4*u - 9*u + x*u**4 + 17*u - 7*u**3 + 12*u**2 - 16 - 2*u**4 = 0.
-1, 2, 4
Let -8/19 + 1272/19*g - 50562/19*g**2 = 0. Calculate g.
2/159
Let s be (0 + -3)*(-1)/18*30620/1531. Factor 2/3*t**5 - 2*t**2 - 2/3*t**4 + 0 + 0*t - s*t**3.
2*t**2*(t - 3)*(t + 1)**2/3
Let g(w) be the second derivative of 5/6*w**4 - 1/4*w**5 + 5/6*w**3 + 0 + 82*w - 5*w**2. Factor g(p).
-5*(p - 2)*(p - 1)*(p + 1)
Suppose -u + 3*w = 16, 0 = u - w + 729 - 725. Determine b so that 6/5*b**3 + 2/5 + 2/5*b - u*b**2 = 0.
-1/3, 1
Determine n, given that 400/7 - 60/7*n - 4/7*n**2 = 0.
-20, 5
Let q(g) = 21*g + 91. Let y be q(0). Let n be 8 + 13/(y/(-28)). Determine f so that 0 + 24/5*f**2 + 12/5*f**n + 0*f + 44/5*f**3 = 0.
-3, -2/3, 0
Let b(j) be the third derivative of 121*j**8/1176 + 4103*j**7/735 + 544*j**6/7 - 6144*j**5/35 - 2824*j**2. What is x in b(x) = 0?
-192/11, 0, 1
Let d(b) = 2*b**3 + b**2 - 2*b + 7. Let i(k) = -3*k**3 - 6*k**2 - 113*k - 14. Let m(x) = -2*d(x) - i(x). Let m(o) = 0. What is o?
-9, 0, 13
Let z(w) be the first derivative of 5*w**4/4 - 115*w**3/3 + 200*w**2 - 380*w - 782. Find a such that z(a) = 0.
2, 19
Let q(w) be the first derivative of -w**3/9 + 64*w/3 - 373. Suppose q(d) = 0. Calculate d.
-8, 8
Let v be (-98)/8*(-6251)/306299. What is b in 1/4*b**2 - 45/4 + v*b**3 - 21/4*b = 0?
-3, 5
Let w = 2 + 3. Suppose -w*q = -494 - 66. Solve -q*g**2 - 1 + 4 + 109*g**2 = 0.
-1, 1
Let l(o) be the second derivative of o**6/420 + o**5/15 + 5*o**4/7 + 24*o**3/7 - 18*o**2 - 50*o. Let y(f) be the first derivative of l(f). Solve y(k) = 0 for k.
-6, -2
Let d be -29 - -1*(-5586)/(-190). Suppose -18/5 + 2/5*m**2 - 18/5*m + d*m**3 = 0. What is m?
-3, -1, 3
Let h(n) = -16*n + 11*n - 4 + n**2 + 14*n - 3. Let y be h(-10). Solve -29 - y*f - 10*f**2 - 2*f + 39 + 5*f**3 = 0 for f.
-1, 1, 2
Solve 80*i + 0 - 5/3*i**4 + 217/3*i**3 - 686/3*i**2 = 0.
0, 2/5, 3, 40
Let o(h) be the first derivative of h**6/30 + 11*h**5/20 + 5*h**4/6 - 232*h - 161. Let c(k) be the first derivative of o(k). Let c(r) = 0. Calculate r.
-10, -1, 0
Let j = 8280 - -2550. Factor r**4 - 651605 - 10*r**4 + 380*r**3 + 4*r**4 - 77798*r - j*r**2 + 214978*r.
-5*(r - 19)**4
Let r(i) = -11*i**2 + 38*i - 12. Let z(q) = -9*q**2 + 39*q - 12. Let n = -173 - -176. Let s(l) = n*r(l) - 2*z(l). Factor s(x).
-3*(x - 2)*(5*x - 2)
Let h(p) be the second derivative of -18/5*p**2 + 2*p - 7/30*p**4 - 59 + 1/100*p**5 + 49/30*p**3. Solve h(a) = 0 for a.
1, 4, 9
Let y = 133 + -131. Suppose -13*u = -12*u - y. Find g such that -2/7 - 6/7*g**4 + 8/7*g**u + 4/7*g - 4/7*g**3 = 0.
-1, 1/3, 1
Let z(w) = 46*w**2 - 85*w - 194. Let q(l) = 74*l**2 - 128*l - 290. Let r(s) = -5*q(s) + 8*z(s). Factor r(t).
-2*(t + 3)*(t + 17)
Let x(r) = r**2 - 12*r - 4. Let m(i) = 2*i**2 - 25*i - 9. Let y(p) = -6*m(p) + 13*x(p). Let a be y(6). Determine d, given that d**a + 1 + 31 - 7 - 10*d = 0.
5
Let k(o) be the first derivative of -o**2 + 0*o + 3 - 1/3*o**3. Suppose k(n) = 0. Calculate n.
-2, 0
Suppose -m - 11 = m - 3*z, -19 = -2*m - 3*z. Suppose -5*r - m*d + 12 = 0, -4*r - d + 4 = -5. Factor -3 - 5*l - 2*l**r + l**2 + l.
-(l + 1)*(l + 3)
Let y be -13 - -18 - 2/1. Factor 2*i**4 - 4*i + 4*i**2 + 5*i**3 - 13*i**y + 6*i**2.
2*i*(i - 2)*(i - 1)**2
Let t(z) = 3*z**3 - 6772*z**2 - 13545*z - 6782. Let y(v) = -6*v**3 + 13545*v**2 + 27090*v + 13566. Let l(n) = 9*t(n) + 4*y(n). Factor l(b).
3*(b - 2258)*(b + 1)**2
Let q(u) be the first derivative of -5*u**4/4 - 50*u**3/3 + 1315*u**2/2 - 4140*u - 9002. Factor q(y).
-5*(y - 9)*(y - 4)*(y + 23)
Let k(h) be the third derivative of 10/3*h**3 + 14*h**2 + 7/8*h**4 + 0*h**5 - 4 - 1/120*h**6 + 0*h. Factor k(j).
-(j - 5)*(j + 1)*(j + 4)
Let m(t) = -6*t. Let l(g) = 2*g**2 - 2844*g. Let o(n) = -l(n) + 10*m(n). Let o(v) = 0. Calculate v.
0, 1392
Let x(n) be the third derivative of -n**6/24 - 173*n**5/6 - 3445*n**4/24 - 860*n**3/3 - 31*n**2 - 1. Factor x(q).
-5*(q + 1)**2*(q + 344)
Let 469*k**4 + 271554*k**2 + 714466*k**2 - 77327*k**2 + 2*k**5 + 307915*k**2 + 611612*k**3 + 1739*k**4 + 607202*k = 0. Calculate k.
-551, -1, 0
Suppose g + 2350 = -4*p, 15*g - 19*g + 2*p - 9346 = 0. Let v = -16216/7 - g. Factor 45*y + 144/7*y**2 + 15/7*y**3 - v.
3*(y + 5)**2*(5*y - 2)/7
Let j(t) be the second derivative of t**7/7560 - t**6/432 + t**5/90 + 4*t**4/3 - t**2 - 169*t. Let l(g) be the third derivative of j(g). Factor l(y).
(y - 4)*(y - 1)/3
Let j(c) be the third derivative of c**6/240 + c**5/40 - 3*c**4/16 - 7*c**3/2 + 25*c**2. Let t(i) be the first derivative of j(i). Suppose t(p) = 0. What is p?
-3, 1
Find z such that 24 - z**2 + 21*z - 2*z - 29*z = 0.
-12, 2
Let p be (21/7 - 19)*(-2)/(-102). Let o = 179/408 + p. Factor 0 + o*c**2 - 1/8*c**4 + 0*c + 0*c**3.
-c**2*(c - 1)*(c + 1)/8
Let b(d) = 4*d**2 + 17*d + 22. Let a be 0/17 + (-7 - (1 + 0)). Let w(t) = 10*t**2 + 52*t + 66. Let r(s) = a*b(s) + 3*w(s). Suppose r(m) = 0. Calculate m.
-1, 11
Solve -3/5*l**2 - 12/5*l + 0 = 0.
-4, 0
Let a(w) be the third derivative of -w**6/300 - 119*w**5/150 - 1519*w**4/60 - 343*w**3 - 568*w**2. Suppose a(l) = 0. Calculate l.
-105, -7
Let s(c) be the second derivative of 0*c**4 - 1/120*c**6 + 0*c**3 + 24*c - 35/2*c**2 + 0 + 1/15*c**5. Let w(f) be the first derivative of s(f). Solve w(z) = 0.
0, 4
Determine m so that -3289 + 6144 - 3620 - m**2 + 0*m**2 + 158*m = 0.
5, 153
Determine c, given that 92 + 19*c**2 + 20*c**4 - 136*c + 108*c**3 - 71*c**3 - 32*c**4 = 0.
-23/12, 1, 2
Let x(a) be the third derivative of 0*a - 4/9*a**3 - 21*a**2 - 1/10*a**5 - 1/90*a**6 - 1/3*a**4 + 0. Factor x(w).
-2*(w + 2)**2*(2*w + 1)/3
Let v = -12 + -196. Let f = v - -1460/7. Factor 0 + f*q**2 - 12/7*q.
4*q*(q - 3)/7
Suppose -6 = -5*z - 2*p, p + 0*p = -5*z + 8. Let a be ((-165)/(-10) - (-4 - z)) + 0. What is c in 105/4*c + 5/4*c**3 + a + 10*c**2 = 0?
-3, -2
Let y(u) = 10*u**2 + 5*u. Let d(k) be the second derivative of 11*k**4/12 + 4*k**3/3 - 24*k. Let n(x) = 5*d(x) - 6*y(x). Factor n(a).
-5*a*(a - 2)
Let j be (0*(-97)/(-7857))/(-2 - 0). Solve 24/5*r**2 + j + 4/5*r**3 + 36/5*r = 0 for r.
-3, 0
Let r be (-14)/(-48)*(-60)/(-140). Let v(i) be the third derivative of 1/20*i**5 + 0*i**3 - 13*i**2 + 0*i + r*i**4 + 0. Factor v(o).
3*o*(o + 1)
Let i(s) be the second derivative of 2*s**6/15 + 2*s**5/5 - 7*s**4/3 + 8*s**3/3 - 11*s - 29. Factor i(y).
4*y*(y - 1)**2*(y + 4)
Solve -2*d - 1889*d**3 + 92*d**2 + 57*d**4 + 31*d**4 + 1711*d**3 = 0 for d.
0, 1/44, 1
Factor -3620779*o + 5*o**4 - 2479*o**3 - 5672*o**3 - 2643941*o + 3144230*o**2 + 231*o**3 + 3128405.
5*(o - 791)**2*(o - 1)**2
Let u = 46 + -29. Let m = u + -10. Solve 26*l - 3*l**2 - m*l + 0 - 3 - 13*l = 0.
1
Suppose 5*v - 105 = -65*b + 62*b, -29 = 5*b - 3*v. Find z, given that 41/8*z - b - 1/8*z**2 = 0.
1, 40
Let a(k) = -k**2 + 10*k - 20. Let x be a(6). What is h in -15*h**x + 5*h**5 - 133*h - 25*h**3 - 114*h + 135*h**2 + 87*h + 60 = 0?
-3, 1, 2
Let l(c) be the second derivative of c**6/50 - 33*c**5/25 - 47*c**4/20 + 9*c**3 - 2222*c. Factor l(y).
3