+ 6/17*v**2 + 8/17*v**3 - 8/17*v + 2/17*v**4 = 0.
-2, -1, 1
Let x(i) = 5*i**2 + 3*i + 6. Let j(p) = -4*p**2 - 4*p - 7. Suppose 3*r + 183 = 171. Let d(w) = r*j(w) - 3*x(w). Factor d(v).
(v + 2)*(v + 5)
Let z(m) be the first derivative of -m**6/36 + 31*m**5/30 - 2*m**4 + 5*m**3/3 + 22*m - 5. Let k(c) be the third derivative of z(c). Suppose k(y) = 0. What is y?
2/5, 12
Factor 1444/11 + 114/11*d + 2/11*d**2.
2*(d + 19)*(d + 38)/11
Let g(a) be the first derivative of -4*a**3/15 + 968*a**2/5 - 1536*a - 4780. Factor g(u).
-4*(u - 480)*(u - 4)/5
Solve -50/11*w**2 + 56/11*w**3 - 68/11*w - 10/11*w**4 + 48/11 = 0.
-1, 3/5, 2, 4
Let g(b) be the first derivative of 13/14*b**2 + 53 - 8/21*b**3 + 1/28*b**4 - 6/7*b. Factor g(q).
(q - 6)*(q - 1)**2/7
Let v(k) = -153*k**2 - 1400*k - 55. Let u(w) = 305*w**2 + 2800*w + 115. Let r(m) = 2*u(m) + 5*v(m). Find j, given that r(j) = 0.
-9, -1/31
Factor 22*m**3 + 1672*m**4 - 829*m**4 - 841*m**4 + 20*m**2.
2*m**2*(m + 1)*(m + 10)
Let g = -9 - -15. Suppose 14 = 5*d - 2*q, 0 = d + 4*q - 0 + g. Factor 2*j**3 + 11 - 11 + 2*j**d.
2*j**2*(j + 1)
Let x be (57358/255)/(32/10) - ((-105)/(-40) + -3). Let x*k + 5618/3 + 2/3*k**2 = 0. Calculate k.
-53
Let x(g) = g**2 + 2*g - 2. Let c(m) be the third derivative of -2*m**5/5 - 3*m**4/2 + 9*m**3 - 2*m**2 + 8. Let i(t) = 2*c(t) + 44*x(t). Factor i(j).
-4*(j - 5)*(j + 1)
Let f(p) be the third derivative of p**8/70560 + 13*p**7/8820 + 9*p**5/10 + 9*p**2 + 2. Let s(u) be the third derivative of f(u). Factor s(y).
2*y*(y + 26)/7
Suppose 0*o + 1/9*o**4 + 0 - 100/3*o**2 + 97/9*o**3 = 0. Calculate o.
-100, 0, 3
What is h in -58117*h**2 - 381*h**4 - 28313*h**2 + 966*h**4 - 37688*h**3 - 87615*h + 10058*h**3 - 29403 - 3*h**5 = 0?
-1, 99
Let b(p) be the first derivative of p**4/2 + 2*p**3/3 - 24*p**2 + 72*p + 775. Factor b(h).
2*(h - 3)*(h - 2)*(h + 6)
Let r be (-17)/((-374)/1008) - 4/(-22). Suppose -6*l**5 - 18*l**4 + 36*l**2 + r*l**4 - 3*l**5 + 13*l**5 + 60*l**3 = 0. What is l?
-3, -1, 0
Let z be (-2)/13 + (-406458)/1014. Let f = z + 405. Let -8*i - f*i**2 - 2/3*i**3 - 16/3 = 0. What is i?
-2
Let g(f) be the third derivative of f**7/1680 + 3*f**6/320 + 7*f**5/480 - 15*f**4/64 + 7*f**3/12 - f**2 + 2*f - 21. Determine a, given that g(a) = 0.
-7, -4, 1
Let u(f) be the third derivative of -7*f**5/30 + 29*f**4/3 + 17*f**3 + 482*f**2. Factor u(b).
-2*(b - 17)*(7*b + 3)
Suppose 11877 - 32611 = 14*u. Let o = -4441/3 - u. Factor -o + 4/9*k + 2/9*k**2.
2*(k - 1)*(k + 3)/9
Let h(a) be the third derivative of -a**7/126 - a**6/9 - 7*a**5/36 + 2*a**2 - 1. What is p in h(p) = 0?
-7, -1, 0
Let f(i) be the first derivative of i**6/420 + 13*i**5/210 + 2*i**4/3 + 80*i**3/21 - i**2/2 - 47*i - 33. Let h(d) be the second derivative of f(d). Factor h(p).
2*(p + 4)**2*(p + 5)/7
Let r(g) be the third derivative of -121*g**6/40 + 2497*g**5/20 - 1755*g**4 + 5832*g**3 + 4008*g**2. Factor r(p).
-3*(p - 1)*(11*p - 108)**2
Suppose 5 = 13*n - 34. Let i(l) = 16*l**4 + 41*l**3 + 42*l**2 + 22*l + 5. Let t(y) = -y**4 + y**2 - y - 1. Let q(z) = n*t(z) + i(z). Factor q(f).
(f + 1)**3*(13*f + 2)
Suppose 72/11*j - 496/11*j**2 + 0 - 12/11*j**5 + 394/11*j**3 - 58/11*j**4 = 0. What is j?
-9, 0, 1/6, 2
Let i(r) be the third derivative of -r**8/112 - 4*r**7/105 + 9*r**6/20 + 5*r**5/3 + 7*r**4/8 - 10*r**3/3 + 556*r**2 + 3. Solve i(q) = 0 for q.
-5, -1, 1/3, 4
Let x be 395/15 - (-3)/(-9). Let u(f) = -f**2 + 26*f. Let y be u(x). Find r, given that y*r + 2/15*r**4 + 0 - 4/3*r**3 + 10/3*r**2 = 0.
0, 5
Suppose 2*n - 170 = -4*a, 4*a - 2*n + 3 - 193 = 0. Let v = 48 - a. Factor -12/5*z + 4/5*z**v - 8/5 + 0*z**2.
4*(z - 2)*(z + 1)**2/5
Suppose -5*k - 4*s + 18 = 0, 23 = -4*k + 2*s + 27. Factor -8/5 + 16/5*c - 2*c**k + 2/5*c**3.
2*(c - 2)**2*(c - 1)/5
Let c(t) = -t**3 + 24*t**2 + 2. Let b be c(24). Factor 32*h**b - 4*h**4 - 46 - 22 + 20*h - 20*h + 4.
-4*(h - 2)**2*(h + 2)**2
Let k = -4 - -6. Let c be (-4 - -5) + 964/1205. Factor 3/5*t**k + 6/5 - c*t.
3*(t - 2)*(t - 1)/5
Let z = -15384 - -15387. Let g(x) be the third derivative of 0*x**z + 0*x**5 + 7*x**2 + 0*x + 1/360*x**6 - 1/72*x**4 + 0. Factor g(m).
m*(m - 1)*(m + 1)/3
Suppose -2*d - 2*d = 4*d. Let o(l) = 6*l + 3. Let c be o(d). Let -20*u**2 - 12*u**3 + 25*u**3 - 9*u**c = 0. What is u?
0, 5
Let s be 1/8*0 - -35. Suppose -35 = -4*a - s. Suppose 4/3*v + v**2 - 1/3*v**3 + a = 0. Calculate v.
-1, 0, 4
Let j be -24*1/(-3) - -23. Let x be j/(217/(-14)) + (-8)/(-3). Factor x*y**5 + 2/3*y + 2/3*y**4 + 2/3 - 4/3*y**3 - 4/3*y**2.
2*(y - 1)**2*(y + 1)**3/3
Let t be (-94)/(-30) - ((-3784)/3311 - (-11)/(-21)). Let -16/15*g - 14/15*g**4 - t*g**2 + 0 - 4*g**3 = 0. What is g?
-2, -2/7, 0
Let a(q) be the third derivative of -q**6/180 + 799*q**5/90 - 53333*q**4/12 + 17689*q**3 + 206*q**2 + 4*q. Factor a(l).
-2*(l - 399)**2*(l - 1)/3
Find j such that -32*j + 11/7*j**3 + 1/7*j**4 + 384/7 - 10/7*j**2 = 0.
-8, 2, 3
Let f be 18/120 - 0*((-104)/(-16) + -6). Let u(z) be the first derivative of -29 - 51/10*z**2 - 24/5*z - 2*z**3 - f*z**4. Solve u(r) = 0 for r.
-8, -1
Let l be 1210/18 - (28/63)/2. Suppose -17*q + 103 = -l. Factor 3*w**4 + 36*w - 16 - q*w**3 - 8 + w**3 - 2*w**2 - 4*w**2.
3*(w - 2)**2*(w - 1)*(w + 2)
Let l be (81/(-9))/3 + 528/1. Let b be (-60)/l - (-4)/10. Solve -1/7*g**3 - b + 1/7*g + 3/7*g**2 - 1/7*g**4 = 0.
-2, -1, 1
Let y(t) = -117*t - 20589. Let v be y(-176). Factor -3/2*o + 0 - 9/2*o**2 - 9/2*o**v - 3/2*o**4.
-3*o*(o + 1)**3/2
Let u = -42 - -27. Let l = 25 + u. Determine h so that -6*h**3 + l*h**2 + 11*h**2 + 9*h**3 = 0.
-7, 0
Find t, given that 47 + 2*t**2 + 111 + 124 - 54 + 88*t + 2*t**2 = 0.
-19, -3
Suppose 2 = -33*b + 34*b. Let q be 0 + (-13 - -15)*b/8. Factor 1/4*u**4 - q*u**3 + 3*u - 11/4*u**2 + 9.
(u - 3)**2*(u + 2)**2/4
Solve 5/2*k**3 + 640*k**2 + 2545/2*k + 635 = 0.
-254, -1
Factor 24/7 + 2/7*n**5 - 18/7*n**3 + 8*n - 10/7*n**4 + 26/7*n**2.
2*(n - 6)*(n - 2)*(n + 1)**3/7
Let r(l) be the second derivative of 317*l**5/5 + 1265*l**4/3 + 2512*l**3/3 - 24*l**2 + 609*l + 4. Solve r(c) = 0 for c.
-2, 3/317
Let l(j) be the first derivative of 2*j**5 - 95*j**4/4 - 740*j**3/3 - 1245*j**2/2 - 450*j - 4409. Solve l(u) = 0.
-3, -2, -1/2, 15
Suppose 31 - 7 = -8*s. Let f be (s/2)/(3*(-2)/208). Solve 48*h**3 - 3*h**5 + 5*h**5 + 2*h - f*h**3 = 0 for h.
-1, 0, 1
Suppose 0 = -15*t - 7516 + 7576. Let r(v) be the third derivative of 0 + 1/210*v**7 + 0*v + 1/12*v**t - 1/6*v**3 + 13*v**2 - 1/60*v**6 + 0*v**5. Factor r(g).
(g - 1)**3*(g + 1)
Let n(q) = -q**3 + 15*q**2 + 375*q + 195. Let r be n(-13). Suppose -96*i**4 - 9/2*i + 56*i**5 - 4*i**2 + 1 + r*i**3 = 0. What is i?
-2/7, 1/2
Let m(w) be the third derivative of w + 0 + 2*w**2 - 1/42*w**4 + 4/7*w**3 - 1/210*w**6 - 4/105*w**5. Solve m(x) = 0 for x.
-3, -2, 1
Let p = 42 - 40. Suppose 16*c - p*c**3 - 14*c - 8*c**2 - 18*c**2 + 26 = 0. Calculate c.
-13, -1, 1
Let v(p) = p**2 - 5. Let o(c) = 4*c**2 + 110*c - 650. Let q(d) = -o(d) + 9*v(d). Factor q(i).
5*(i - 11)**2
Let f(m) = -m**3 - 13*m**2 + 15*m + 17. Let x be f(-14). Find o such that 65*o - 133*o**x - 5*o**4 + 156*o**3 - 88*o**3 + 5*o**2 = 0.
-13, -1, 0, 1
Suppose -13*p = -6*p - 4242. Let x be p/10 - -15*9/(-45). Solve 0 + 512/5*l + 56/5*l**4 + 4/5*l**5 + x*l**3 + 128*l**2 = 0 for l.
-4, -2, 0
Suppose -23*w = -3*n - 1, -w - 3*n = 82 - 129. Let k be 4/(-14) - (-25)/63. Factor 0 - k*b**3 + 1/9*b**w + 0*b.
-b**2*(b - 1)/9
Let s = 4/8099 - 2/89. Let p = 188/273 + s. Find t such that -2/3*t**5 + 0 - 4/3*t + 2*t**3 - p*t**4 + 2/3*t**2 = 0.
-2, -1, 0, 1
Let m(w) be the first derivative of -144*w + 39 - w**4 - 48*w**2 + 44/3*w**3. Find u such that m(u) = 0.
-1, 6
Let b(g) be the second derivative of 2*g**7/21 - 16*g**6/3 + 388*g**5/5 - 1552*g**4/3 + 5504*g**3/3 - 3584*g**2 + 10268*g. Determine f so that b(f) = 0.
2, 4, 28
Solve -20*y**2 + 5/3*y**3 + 0 + 60*y = 0.
0, 6
Let c(y) = 12*y**5 + 36*y**4 + 15*y**3. Let b(g) = -3*g**5 - 9*g**4 - 4*g**3. Suppose 50 = -8*k + 170. Let o(r) = k*b(r) + 4*c(r). Factor o(t).
3*t**4*(t + 3)
Suppose -331*r + 293 = -72 - 297. Let x(f) be the second derivative of 0 - 35/3*f**3 - 1/10*f**5 + 11/6*f**4 + 25*f**r + 30*f. Factor x(z).
-2*(z - 5)**2*(z - 1)
Suppose -62*f = -20*f. Suppose -8*i + 4 = -7*i, f = -5*o - 4*i + 16. Factor 0 - 8/3*h**4 + 14/9*h**5 + 0*h - 8/9*h**3 + o*h**2.
2*h**3*(h