e of j**8/1680 - j**7/350 + j**6/600 + j**5/100 - j**4/60 + 1731*j**2. Factor k(p).
p*(p - 2)*(p - 1)**2*(p + 1)/5
Let f(i) = -13*i - 14. Let m be f(-2). Factor 7*y + 0*y - 10*y - 6 - 3*y**2 + m*y.
-3*(y - 2)*(y - 1)
Let w(l) be the third derivative of 1/48*l**6 + 0*l**3 - 11/840*l**7 + 0*l**5 + 1/1344*l**8 + 0 - 96*l**2 + 0*l**4 + 0*l. Determine t so that w(t) = 0.
0, 1, 10
Let u(s) = -5*s**4 + 50*s**3 - 66*s**2 - 576*s - 9. Let q(k) = -k**4 + 12*k**3 - 16*k**2 - 144*k - 2. Let i(m) = -9*q(m) + 2*u(m). Factor i(h).
-h*(h - 4)*(h + 6)**2
Suppose 15/2*z**2 - 7/2*z**3 + 83*z - 12 = 0. Calculate z.
-4, 1/7, 6
Let u(s) = -426*s + 11078. Let d be u(26). Suppose -51/2 - 30*g - 9/2*g**d = 0. What is g?
-17/3, -1
Let g(n) be the second derivative of -n**5/30 - 5*n**4/4 - 26*n**3/3 + 203*n**2/2 - 23*n + 5. Let r(f) be the first derivative of g(f). Factor r(q).
-2*(q + 2)*(q + 13)
Let v(j) = -j**4 - 43*j**3 - 146*j**2 - 136*j - 4. Let n(b) = -45*b**3 - 150*b**2 - 132*b - 6. Let d(c) = 2*n(c) - 3*v(c). Find k such that d(k) = 0.
-8, -3, -2, 0
Suppose 96 = -t - 44. Let r be t/168*(-3)/5. Solve -1/2*y + 0 + 0*y**2 + r*y**3 = 0.
-1, 0, 1
Let v(k) be the first derivative of k**5/20 - 41*k**4/4 + 1681*k**3/2 - 65*k**2 - 32. Let b(p) be the second derivative of v(p). Factor b(a).
3*(a - 41)**2
Factor -44/7*f**2 + 150/7*f + 2/7*f**3 - 108/7.
2*(f - 18)*(f - 3)*(f - 1)/7
Let q = -2507 + 2510. Suppose -9 = -3*d - 0*d. Factor 12 - 10 - 2*h**2 + 2*h + 0*h**d - 5*h**3 + q*h**3.
-2*(h - 1)*(h + 1)**2
Let i(y) be the second derivative of -5*y**4/48 + 115*y**3/24 - 315*y**2/4 + 124*y + 2. Factor i(d).
-5*(d - 14)*(d - 9)/4
Suppose 2034*u - 1435 = 1434*u + 365. Determine g, given that -676/3 - 277/3*g**2 - 10*g**u - 1/3*g**4 - 260*g = 0.
-13, -2
Let q(s) be the third derivative of 0*s - 2/3*s**3 - 1/240*s**5 + 0 - 83*s**2 - 5/48*s**4. Solve q(o) = 0.
-8, -2
Let b(k) be the second derivative of -2*k + 0 + 0*k**2 + 2/3*k**4 - 23/6*k**3. Let v(c) = 9*c**2 - 24*c. Let a(s) = -4*b(s) + 3*v(s). Factor a(z).
-5*z*(z - 4)
Solve 1680*p**3 + 41*p - 108*p + 58*p + 34*p + 320*p**4 + 405*p**2 = 0 for p.
-5, -1/8, 0
Let m be 1/(3/(-2)) + (-123)/(-9). Solve 17 + 2*n**3 + 8*n**2 - m + 8*n - 4 = 0 for n.
-2, 0
Let a(s) be the third derivative of -s**7/5 - 71*s**6/40 + 33*s**5/20 + 2064*s**2 - 3. Determine n, given that a(n) = 0.
-11/2, 0, 3/7
Determine q, given that -22*q**5 - 27*q**5 - 27*q**5 + 118*q**5 + 20*q**4 - 40*q**5 = 0.
-10, 0
Let x(c) be the first derivative of -c**4/8 + c**3/18 + 2*c**2/3 + 2*c/3 - 580. What is a in x(a) = 0?
-1, -2/3, 2
Let p be (85785/(-1530))/(-43) + (-2 - 2/4)/3. What is b in p*b**3 + 2/17*b**4 - 10/17*b**2 + 0*b + 0 = 0?
-5, 0, 1
Let k(g) be the second derivative of g**4/21 - 16*g**3/3 - 114*g**2/7 - 2*g - 1557. Find v, given that k(v) = 0.
-1, 57
Let b(w) = -2*w**2 - w + 6. Let m be b(-2). Let n(k) be the second derivative of -1/15*k**4 + m + 0*k**2 + 2/15*k**3 + 11*k. Solve n(s) = 0.
0, 1
Let o(f) be the second derivative of -5*f**7/42 - 13*f**6/6 + 75*f**5 - 14132*f. Factor o(j).
-5*j**3*(j - 12)*(j + 25)
Let c be ((-7)/(280/(-288)))/(11 + (-539)/70). Factor -8/11 - c*p + 14/11*p**3 + 18/11*p**2.
2*(p - 1)*(p + 2)*(7*p + 2)/11
Let l(s) = -s**3 - 4*s**2 + 3*s - 6. Let n be l(-5). Let z be -6*((-39)/9 + n). Factor -26*f + 14*f**4 + 5 + 15*f**4 + 40*f**z - 26*f**4 - 22*f**3.
(f - 5)*(f - 1)**2*(3*f - 1)
Let i(r) be the second derivative of r**7/42 + 5*r**6/8 + 7*r**5/6 + 27*r**2/2 - 3*r. Let b(y) be the first derivative of i(y). Factor b(g).
5*g**2*(g + 1)*(g + 14)
Factor 4/3 + 1/3*n**3 + 5/3*n**2 + 8/3*n.
(n + 1)*(n + 2)**2/3
Factor -67/3*x**3 - 685/6 + 1/6*x**4 + 619/3*x - 70*x**2.
(x - 137)*(x - 1)**2*(x + 5)/6
Let y(i) = -2*i**5 + i**3 + i - 2. Let d(p) = -17*p**5 - 23*p**4 + 138*p**3 - 289*p**2 + 287*p - 114. Let q(k) = -2*d(k) + 18*y(k). Find f, given that q(f) = 0.
1, 2, 3, 16
Factor r**3 + 3*r**3 - 44 + 76679*r - 36*r**2 - 76763*r.
4*(r - 11)*(r + 1)**2
Let b(f) be the first derivative of -3*f**6/2 + 57*f**5/5 + 159*f**4/4 - 103*f**3 - 21*f**2 + 144*f - 4713. Solve b(u) = 0.
-3, -2/3, 1, 8
Suppose -88*x + 88*x + 4 = p, -x + 4*p = 13. Factor -4/5*l**2 + 0 - 4/5*l**x + 4/5*l + 4/5*l**4.
4*l*(l - 1)**2*(l + 1)/5
Let z(r) be the third derivative of r**7/140 - 91*r**6/80 - 37*r**5/8 - 93*r**4/16 + 3733*r**2. Factor z(g).
3*g*(g - 93)*(g + 1)**2/2
Suppose -2 - 18 = -5*g. Let l be 1*199/(47760/1056). Factor -l + 2/5*n**2 + g*n.
2*(n - 1)*(n + 11)/5
Let b(g) be the first derivative of -2*g**3/9 - 2060*g**2/3 - 2121800*g/3 - 2129. Let b(w) = 0. What is w?
-1030
Let o = -3310 - -3310. Let c(b) be the third derivative of o + 0*b - 5*b**2 + 25/24*b**3 + 1/240*b**5 + 5/48*b**4. Factor c(z).
(z + 5)**2/4
Let l(w) = -w**2 - w. Let g = -104 - -105. Let i(z) be the second derivative of 3*z**4/4 + 5*z**3/2 + 3*z**2 + 22*z. Let r(n) = g*i(n) + 12*l(n). Factor r(y).
-3*(y - 2)*(y + 1)
Let n = 49 - -8. Let 45*g - 26 - 294*g**4 + 42*g**3 + n*g - 122*g**2 + 298*g**4 = 0. What is g?
-13, 1/2, 1
Let u(l) be the second derivative of 1521/20*l**2 + 0 - 250*l - 13/10*l**3 + 1/120*l**4. Factor u(j).
(j - 39)**2/10
Let h(w) be the second derivative of -w**5/30 + 110*w**4/9 - 437*w**3/9 + 218*w**2/3 + 803*w - 1. Factor h(j).
-2*(j - 218)*(j - 1)**2/3
Let y(f) be the first derivative of f**4/2 + 424*f**3/3 + 11236*f**2 - 1395. Factor y(q).
2*q*(q + 106)**2
Let z(b) be the first derivative of 3*b**5/40 - 3*b**4/16 - 7*b**3/8 - 3*b**2/4 - 4341. Determine n, given that z(n) = 0.
-1, 0, 4
Let w be (7 + 50/(-8))/((-1)/(-16)). Let p(h) be the first derivative of 1/4*h**4 - w - 2*h - 4/3*h**3 + 5/2*h**2. What is i in p(i) = 0?
1, 2
Let k(g) = 6*g**2 + 4*g**2 - 6*g**2 - g. Let m(t) be the second derivative of -11*t**4/12 + t**3/3 - t + 675. Let f(j) = 8*k(j) + 3*m(j). Solve f(d) = 0.
-2, 0
Let g(m) = -m**4 + 6*m**3 - 38*m**2 - 17*m. Let t = 314 - 321. Let x(h) = -2*h**3 + 12*h**2 + 6*h. Let n(z) = t*x(z) - 2*g(z). Let n(v) = 0. What is v?
-2, -1, 0, 2
Let k be ((0 - 9) + 10)*-2 - 20/(-6). Let g(r) be the second derivative of 0*r**2 - k*r**3 + 0 - 24*r - 1/3*r**4. Solve g(t) = 0.
-2, 0
Let f = -21947/35 + 3181/5. Let c(w) be the first derivative of -26 - f*w + 8/7*w**2 - 1/21*w**3. Suppose c(i) = 0. What is i?
8
Suppose -124/9*k**2 - 464/9 + 2/9*k**3 + 472/9*k = 0. Calculate k.
2, 58
Let b(h) = 2*h**2 - 35*h - 1. Let k(i) = 12*i - 49. Let f be k(4). Let d(o) = -o**2 + o - 1. Let v(m) = f*b(m) + d(m). Solve v(r) = 0.
0, 12
Let i(n) = 4*n**3 - 156*n**2 + 2178*n - 8194. Let j(g) = 13*g**3 - 466*g**2 + 6535*g - 24583. Let s(p) = -7*i(p) + 2*j(p). Find h, given that s(h) = 0.
8, 64
Let y be 16/((-288)/189)*24/(-14). Let j be (-42)/63*y/(-4). Factor j*q**4 + 0 - 9/4*q**5 + 0*q + 1/2*q**2 + 11/4*q**3.
-q**2*(q - 2)*(3*q + 1)**2/4
Suppose 76*j - 115 = 53*j. Suppose 0 = -5*o + 5*b - j, 11*o - 15*o + 20 = 2*b. Factor 0 - 1/2*n**2 - 1/2*n**o + n.
-n*(n - 1)*(n + 2)/2
Let z be (-8 - -10)/18 + 17/9. Factor 8*b + 0*b**3 + 72 - 41*b + 4*b**3 + 8*b**z - 51*b + 0*b.
4*(b - 3)*(b - 1)*(b + 6)
Let s(c) = -9*c + 4*c**3 - 4*c**3 - 8*c**2 - 8 - c**3 + 0*c**3. Let q be s(-7). Factor 3*i**3 + 127 - 127 + q*i**4 + 3*i**5.
3*i**3*(i + 1)**2
Suppose 322*y - 52 = -97 + 656 + 33. Solve 0 + 0*p + 28/25*p**3 + 0*p**y + 2/25*p**5 - 18/25*p**4 = 0.
0, 2, 7
Let o(m) be the first derivative of 0*m + 0*m**4 + 24/25*m**5 + 0*m**3 - 1/10*m**6 + 0*m**2 - 1. Suppose o(v) = 0. What is v?
0, 8
Let t(j) be the first derivative of -j**6/15 - j**5/5 - j**4/6 + 6*j**2 - 7*j - 16. Let f(p) be the second derivative of t(p). Suppose f(y) = 0. What is y?
-1, -1/2, 0
Let n(z) = 27 + z**3 - 12*z**2 - z**2 - 13*z**2 - z + 3*z**2. Let c be n(23). Factor 48*s**2 + 2*s**5 + 6 - 42*s**3 - s**c + 19*s**4 - 27*s - 5*s**5.
-3*(s - 2)*(s - 1)**4
Let j(d) be the third derivative of 0 + 4/3*d**3 - 1/150*d**6 + 0*d + 4/25*d**5 + 159*d**2 - 7/10*d**4. Determine a so that j(a) = 0.
1, 10
Suppose 0 = 3*t + 4*g + 136, t - 141 = 4*t + 3*g. Let a be 3/((1 - t/(-54))/2). Solve 3 + 422*i**2 - 3 - 414*i**2 + a*i**4 + 72*i**3 = 0 for i.
-2/9, 0
Let w(n) = 264*n**2 - 3*n + 4. Suppose -y + 3 = v, 0 + 7 = v + 3*y. Let b be w(v). Suppose 15*c - 4*c**2 + 255 - c**2 - b = 0. What is c?
1, 2
Suppose -26*z + 40*z - 5796 = 0. Let l = 416 - z. Factor 20/9*j**l - 