*(j + 11)
Suppose -5*v - 8 = r, 0*v = -r - v. Determine c, given that -5*c - 8 + 8 + 7*c + c**3 + 8 - 5*c**r = 0.
-1, 2, 4
Let u(b) be the second derivative of b**6/15 + 23*b**5/10 + 10*b**4/3 - 44*b**3/3 + 667*b - 2. Find r such that u(r) = 0.
-22, -2, 0, 1
Let g(u) = u**3 + u**2 + u - 1. Let t(o) = -7*o**3 + 9*o**2 - 78*o + 34. Let m(y) = -6*g(y) - t(y). Let s(f) be the first derivative of m(f). Factor s(x).
3*(x - 6)*(x - 4)
Suppose -61*m - 8*m = -345. Let c(q) be the second derivative of 8/3*q**3 + 0 - 11/30*q**m + 8*q - 1/2*q**4 - 4/3*q**2. Determine p, given that c(p) = 0.
-2, 2/11, 1
Factor -1265*f + 1266*f + 168626 + 5*f**2 - 2419*f - 655853 - 8*f**2.
-3*(f + 403)**2
Let p(m) be the third derivative of 0 + 0*m - 3/4*m**4 + m**3 + 36*m**2 - 7/40*m**5. Factor p(k).
-3*(k + 2)*(7*k - 2)/2
Let b(s) be the first derivative of 32*s**3/9 + 1334*s**2/3 + 332*s + 4290. Solve b(c) = 0 for c.
-83, -3/8
Find q, given that 101 - 625*q**2 - 1188228*q - 16 + 1187688*q = 0.
-1, 17/125
Let w = -26/49 + 206/441. Let g = w + 197/126. Find x such that -g*x**4 + 0*x - 3*x**3 - 1/4*x**5 + 0 - 2*x**2 = 0.
-2, 0
Let x(d) be the first derivative of 2/35*d**5 - 1/7*d**2 + 0*d + 1/14*d**4 + 70 - 2/21*d**3. Factor x(s).
2*s*(s - 1)*(s + 1)**2/7
Let v(q) be the second derivative of -1/9*q**3 + 1/54*q**4 + 9*q + 1/270*q**5 + 0 + 19/2*q**2. Let c(z) be the first derivative of v(z). Factor c(t).
2*(t - 1)*(t + 3)/9
Suppose -5*y - k + 5*k = -521, -520 = -5*y + 5*k. Suppose -108 = -n - y. Factor -3/2*m - 3/2*m**3 + 0 - n*m**2.
-3*m*(m + 1)**2/2
Suppose -9*r = -71 + 44. Suppose 10*a**3 + 1773*a - 5*a**r - 37*a**2 - 63*a**2 - 1273*a = 0. Calculate a.
0, 10
Let y(p) = -10*p**5 - 19*p**4 - 46*p**3 + 271*p**2 + 949*p + 787. Let n(g) = -4*g**5 - g**4 + g**2 - g + 1. Let o(j) = -3*n(j) + y(j). Factor o(l).
2*(l - 7)**2*(l + 2)**3
Let u(y) be the first derivative of y**6/3 + 12*y**5/25 - 22*y**4/5 - 36*y**3/5 - 9*y**2/5 + 1723. Let u(m) = 0. Calculate m.
-3, -1, -1/5, 0, 3
Let q(s) be the second derivative of -s**7/14 + 9*s**6/10 + 81*s**5/20 - 49*s**4/4 - 33*s**3 - 8878*s. Find p, given that q(p) = 0.
-3, -1, 0, 2, 11
Factor 144*n + 0 - 87/2*n**2 - 3/2*n**3.
-3*n*(n - 3)*(n + 32)/2
Determine c, given that 133/3*c + 1/6*c**2 - 268/3 = 0.
-268, 2
Let b(j) = 17*j - 99. Let u be b(6). Determine c so that -3*c**3 + 3 + 14*c + u*c**2 - 15 + 20*c - 22*c = 0.
-2, 1, 2
Find g, given that -1875 + 15*g**3 - 2375/2*g + 7*g**4 + 1/2*g**5 - 200*g**2 = 0.
-5, 6
Let v(q) = 54*q**2 - 1643*q + 12709. Let o(d) = 2*d**2 - 13*d - 6. Let y be o(9). Let u(f) = 9*f**2 - 274*f + 2118. Let w(a) = y*u(a) - 6*v(a). Factor w(s).
3*(3*s - 46)**2
Factor 15*z**4 + 3897*z**2 - 7629*z**2 + 69*z**3 + 3810*z**2.
3*z**2*(z + 2)*(5*z + 13)
Let i(g) = -757*g**2 + 1527*g + 4. Let k(n) = 4542*n**2 - 9157*n - 24. Let h(j) = 34*i(j) + 6*k(j). Let h(l) = 0. Calculate l.
-2/757, 2
Let b(z) be the second derivative of z**8/3920 - z**7/490 + z**6/210 - z**3/3 + 5*z + 13. Let d(g) be the second derivative of b(g). Factor d(k).
3*k**2*(k - 2)**2/7
Let t(o) = 26*o**2 + 102*o - 813. Let w(q) = -17*q**2 - 69*q + 541. Let z(y) = -7*t(y) - 11*w(y). Find u, given that z(u) = 0.
-13, 4
Let b(j) be the second derivative of j**6/200 + j**5/100 - 3*j**4/20 + 111*j**2/2 + 110*j. Let q(s) be the first derivative of b(s). Factor q(o).
3*o*(o - 2)*(o + 3)/5
Find f such that -4*f**2 + 71 + 65 - 246 - 21*f + 20*f + 5*f**2 = 0.
-10, 11
Factor -18*b**3 - 2*b**4 - 840*b - 35*b**2 + 3*b**4 + 1674*b - 14*b**3 - 768*b.
b*(b - 33)*(b - 1)*(b + 2)
Let g(q) = -q**3 + 5*q**2 - 5*q + 1. Let b be g(3). Factor -3*m**b + 2*m**4 - 37827 + 2874*m**2 - m**4 + 188*m**3 - 21755 - 8826*m**2 + 65348*m.
-2*(m - 31)**3*(m - 1)
Let g(z) be the second derivative of -2*z - 1/20*z**5 + 7 - 1/210*z**6 + 1/6*z**3 + 1/84*z**4 + 0*z**2. Solve g(i) = 0 for i.
-7, -1, 0, 1
Factor -7 + 10 + 286*q - 256*q + 2*q**2 - 6 + 75.
2*(q + 3)*(q + 12)
Let w = -7666/5 + 551953/360. Let x(n) be the third derivative of 0*n**3 + 1/720*n**6 + 0*n + 0 + w*n**5 - 1/144*n**4 - 1/1260*n**7 + 4*n**2. Factor x(d).
-d*(d - 1)**2*(d + 1)/6
Let h(z) = -z**3 + z**2 - z - 1. Suppose 0 = -0*o + 15*o - 750. Let d(a) = -2*a**2 + o + 54 + 5*a**3 + 49 - 151 - 10*a. Let c(i) = d(i) + 2*h(i). Factor c(r).
3*r*(r - 2)*(r + 2)
Let b(g) = -3*g**3 + 21*g**2 - 5*g + 5. Let n be ((-1)/(-1))/(5/10). Let a(k) = -2*k**3 + 10*k**2 - 2*k + 2. Let v(z) = n*b(z) - 5*a(z). Factor v(c).
4*c**2*(c - 2)
Let q = 3203787/7 - 457680. Let 27/7*t - q*t**3 - 24/7 + 3*t**2 + 3/7*t**4 = 0. What is t?
-1, 1, 8
Let k(q) = 17*q**2 + 646*q - 756. Let h(u) = u**2 + 16. Let v(d) = 2*h(d) + 2*k(d). Determine a so that v(a) = 0.
-37, 10/9
Let s(l) = -l**2 + 8*l - 2. Let b(c) = -15*c**4 + 103*c**3 - 148*c**2 + 29*c + 16. Let k(y) = b(y) + 3*s(y). Solve k(p) = 0.
-2/15, 1, 5
Let y(k) = 11*k**2 + 18*k - 33. Let s(i) = 8*i**2 + 20*i - 31. Let q(u) = -4*s(u) + 3*y(u). Determine l so that q(l) = 0.
1, 25
Let d(l) be the first derivative of l**3/3 + 235*l**2/2 + 431. Factor d(c).
c*(c + 235)
Let g(b) be the third derivative of b**7/189 - 397*b**6/1080 + b**5/2 + 13*b**4/24 + 124*b**2 + 3. Suppose g(m) = 0. What is m?
-3/10, 0, 1, 39
Let b(c) be the third derivative of -c**6/180 - 7*c**5/5 - 441*c**4/4 - 358*c**2. Factor b(w).
-2*w*(w + 63)**2/3
Determine f, given that -3/4*f**2 - 849/2*f - 240267/4 = 0.
-283
Suppose 0 = -1321*u - 1553 + 2541 + 4296. Solve -u + 54/13*l - 2/13*l**2 = 0.
1, 26
Suppose -176/17*v**2 - 10/17*v**3 - 76/17 + 262/17*v = 0. What is v?
-19, 2/5, 1
Let r(b) be the first derivative of -25*b**2 - 248 + 45*b + 5/3*b**3. Factor r(t).
5*(t - 9)*(t - 1)
Let u(i) be the first derivative of 61 + 4/11*i**2 - 1/22*i**4 + 2/33*i**3 - 8/11*i. Factor u(d).
-2*(d - 2)*(d - 1)*(d + 2)/11
Suppose 5*f - 18 = -3*v + 2, f - 4 = 5*v. Find p such that -20*p**3 - p**f + 28 - 19*p**2 - 4*p**4 - 8 + 4*p**2 + 20*p = 0.
-2, -1, 1
Suppose 9675*m**3 + 735*m**2 - 821*m**2 + 405*m**4 - 6800*m - 1920 - 1274*m**2 = 0. Calculate m.
-24, -4/9, 1
Let l(u) = 6*u - 23. Let o be l(-15). Let f = o - -1131/10. Let -1/10*z + f - 1/10*z**2 + 1/10*z**3 = 0. Calculate z.
-1, 1
Let j(c) be the first derivative of -c**3/3 - 2*c**2 + 7*c + 2. Let f be j(-5). Factor 55*d**2 - 7*d**f - 105*d + 25 + 72*d**2 + 8*d**3 - 28*d**3.
-5*(d - 5)*(2*d - 1)**2
Let r be (-5973)/(-44)*(-4)/(-60) - 9. Let z(j) be the third derivative of 21*j**2 + 0*j + 0 + 0*j**4 + 1/140*j**7 - 1/80*j**6 + 0*j**3 - r*j**5. Factor z(b).
3*b**2*(b - 2)*(b + 1)/2
Let c(r) be the third derivative of r**5/20 - 137*r**4/8 - 894*r**3 + 3*r**2 - 2*r + 75. Let c(y) = 0. Calculate y.
-12, 149
Let c = 1292483/1179 + -1023/131. Let v = c - 1086. What is h in 0 - 2/9*h**4 - 8/9*h**5 + 4/9*h + v*h**2 + 8/3*h**3 = 0?
-1, -1/4, 0, 2
What is n in 0 - 2/7*n**4 - 6/7*n**3 + 2/7*n**2 + 6/7*n = 0?
-3, -1, 0, 1
Suppose 5*k + 3 = -14*p + 15*p, k + 9 = 3*p. Let o(t) = t**3 + 4*t**2 + 3*t - 3. Let i(n) = 1. Let u(s) = p*i(s) + o(s). Factor u(q).
q*(q + 1)*(q + 3)
Let f(g) be the second derivative of 2*g**7/21 + 2*g**6/3 + 2*g**5/5 - 8*g**4/3 - 2025*g. Let f(c) = 0. Calculate c.
-4, -2, 0, 1
Let v(r) = 13*r + 305. Let b be v(-23). Suppose -3*y - y + b = -s, 3*y = 6. Factor 4/19 - 14/19*n + 6/19*n**s.
2*(n - 2)*(3*n - 1)/19
Let h(r) = -12*r + 10. Let z be h(-7). Suppose -z - 54 = -74*j. Factor 0*q**j - 2/17*q**3 + 6/17*q + 4/17.
-2*(q - 2)*(q + 1)**2/17
Let -218/3*k**3 + 82/3*k**2 - 6*k**5 + 0 + 4*k + 142/3*k**4 = 0. Calculate k.
-1/9, 0, 1, 6
Let k(l) be the first derivative of -5*l**4/4 + 100*l**3/3 + 630*l**2 - 25920*l - 1161. Factor k(y).
-5*(y - 18)**2*(y + 16)
Let x(i) = -46*i + 614. Let w be x(13). Let k(j) be the first derivative of -w + 0*j + 3/10*j**2 + 1/5*j**3. What is y in k(y) = 0?
-1, 0
Let o(h) be the third derivative of -h**5/90 + 119*h**4/18 + 5*h**2 + 4*h - 63. Factor o(c).
-2*c*(c - 238)/3
Let i(q) be the second derivative of -34*q + 26/3*q**3 + 12*q**2 - 2/15*q**6 - 1/5*q**5 + 7/3*q**4 - 1. Solve i(y) = 0 for y.
-2, -1, 3
Let o be (-50)/25*-9*(-16)/(-72). Factor -1/5*c**o + 0 + 0*c + 0*c**2 + 3/5*c**3.
-c**3*(c - 3)/5
Let v(r) be the second derivative of 0*r**2 - 86*r + 1/3*r**3 + 0 - 1/6*r**4 - 1/10*r**5 + 1/15*r**6. Factor v(h).
2*h*(h - 1)**2*(h + 1)
Let k(w) be the second derivative of 2 - 4*w**5 -