0 + 171*q**4/64 + 135*q**3/8 + 1566*q**2. Factor z(k).
-3*(k - 30)*(k + 3)**2/8
Let i be (-174)/1015*(-616)/132. Let z be 24/135 + (-2)/(-9). What is o in -z - 6/5*o - i*o**2 = 0?
-1, -1/2
Let d(o) be the first derivative of -o**4/6 - 134*o**3/9 + 46*o**2 - 1959. Suppose d(w) = 0. Calculate w.
-69, 0, 2
Let s(k) be the third derivative of k**6/360 + 7*k**5/36 + 47*k**4/18 - 112*k**3/9 - 9458*k**2. Factor s(v).
(v - 1)*(v + 8)*(v + 28)/3
Let n = 272326/5 + -54656. Let s = n - -197. Factor 11/5*i**2 - s*i - 6/5.
(i - 3)*(11*i + 2)/5
Let d = -5/76 + 6/19. Let u(f) = 22*f + 132. Let k be u(-6). What is j in d*j**2 + 0 + k*j = 0?
0
Let k(z) be the second derivative of -3*z - 9/2*z**3 + 50 + 0*z**2 + 1/4*z**4. Suppose k(j) = 0. What is j?
0, 9
Let y(x) be the third derivative of x**5/330 + 1171*x**4/132 - 237*x**2 - 4*x - 1. Factor y(i).
2*i*(i + 1171)/11
Let f(i) be the third derivative of 0 + 0*i - 40*i**2 + 1/3*i**3 + 0*i**4 - 1/120*i**5. Let f(j) = 0. What is j?
-2, 2
Let f(j) be the second derivative of 1/2*j**2 - 2/9*j**4 + 0 - 8/9*j**3 + 18*j - 1/45*j**5. Let x(q) be the first derivative of f(q). Factor x(c).
-4*(c + 2)**2/3
Solve 200*b**4 + 9960*b**2 - 2*b + 2*b - 9888*b**2 + 284*b**3 - 12*b**5 = 0 for b.
-1, -1/3, 0, 18
Let y(f) be the third derivative of 1/180*f**6 + 0*f**3 - 1/90*f**5 + 0 - 121*f**2 - 1/18*f**4 + 0*f. Solve y(w) = 0 for w.
-1, 0, 2
Let r(s) be the first derivative of -s**4/24 + 5*s**3/12 - 3*s**2/2 + 69*s + 42. Let y(p) be the first derivative of r(p). Find b, given that y(b) = 0.
2, 3
Factor 0*p + 0 + 0*p**2 - 2/3*p**5 + 66*p**3 - 196/3*p**4.
-2*p**3*(p - 1)*(p + 99)/3
Let z(v) = -v**3 + 36*v**2 - 32*v - 70. Let p be z(35). Factor 45*u**2 + p*u**2 - 65*u**2 + 5*u - 5*u**3 - 15.
-5*(u - 3)*(u - 1)*(u + 1)
Let a = -2188509/4 - -547130. Determine h, given that -9/2 - 1/4*h**2 + a*h = 0.
2, 9
Let z(n) = 39*n - 35. Let y be z(1). Factor 6*m + 17*m**4 - y*m**3 - 20*m**4 - m**2 + 2*m**4.
-m*(m - 1)*(m + 2)*(m + 3)
Suppose -142*h - 121*h = -320*h + 107*h. Solve 2/7*q**4 + 4/7*q - 6/7*q**2 + 0 + h*q**3 = 0 for q.
-2, 0, 1
Let c(q) be the first derivative of -11532*q**2 + 476656*q + 124*q**3 - 115 - 1/2*q**4. Solve c(a) = 0.
62
Let r(t) be the second derivative of t**5/120 + 101*t**4/12 + 10201*t**3/4 + 1586*t. Factor r(a).
a*(a + 303)**2/6
Let g(q) be the third derivative of 2*q**7/105 + 59*q**6/15 + 3352*q**5/15 - 1360*q**4 - 19200*q**3 - 2658*q**2. Factor g(x).
4*(x - 4)*(x + 2)*(x + 60)**2
Let 142*v**3 - 154*v**2 + 160/3*v + 0 - 6*v**5 - 106/3*v**4 = 0. What is v?
-80/9, 0, 1
Let u(w) = -w**3 + 11*w**2 - 16*w - 12. Let j be u(9). Suppose j*s = 19 + 29. Factor -455 - 4*p**4 - 2*p - 2*p**3 + 451 + p**5 + s*p**2 + 3*p.
(p - 4)*(p - 1)**2*(p + 1)**2
Let g = 435535690/14114583 - -2/2016369. Let -1296/7 - 48/7*x**3 + 3/7*x**4 + g*x**2 + 0*x = 0. Calculate x.
-2, 6
Suppose -f + 77 = 3*l, -4*f - 11 + 94 = 3*l. Suppose -2*x + 29 = l. Find b such that -3/7*b**x + 0 + 0*b = 0.
0
Let w(c) = -7474*c + 3. Let y be w(0). Factor 49/2*j**y - 189/2 - 1071/2*j**2 + 891/2*j.
(j - 21)*(7*j - 3)**2/2
Let l = -2/30795 + 215581/246360. Let o(u) be the third derivative of 0 - 34*u**2 - 1/20*u**5 - l*u**4 + 0*u + 0*u**3. Factor o(t).
-3*t*(t + 7)
Suppose 2556 = 661*m + 1234. Let -26/3*z**2 + 0 - m*z - 2*z**4 - 26/3*z**3 = 0. What is z?
-3, -1, -1/3, 0
Let r(n) be the second derivative of 2*n**2 + 2/9*n**3 - 3 - 1/60*n**5 - 12*n - 1/12*n**4. Determine y so that r(y) = 0.
-3, -2, 2
Let q(v) be the first derivative of -2*v**6/9 - 44*v**5/15 - 10*v**4/3 + 3371. Solve q(l) = 0 for l.
-10, -1, 0
Let w(h) be the third derivative of h**6/120 + h**5/12 - h**4/4 - 9*h**2 + 78. Factor w(b).
b*(b - 1)*(b + 6)
Suppose a + 265 - 51 = 3*j, 0 = 3*a - 5*j + 662. Let q = -1143/5 - a. Determine z so that q*z**2 - 2/5*z - 4/5 = 0.
-1, 2
Suppose -693*b + 723*b = 120. Factor 1/2*q**2 + 0 + 0*q - 1/2*q**b + 0*q**3.
-q**2*(q - 1)*(q + 1)/2
Suppose -5*v - 4*l = -48, v - l = 3*l. Let j be (9 - 76/v)/((-15)/4). Suppose 0 + 2/15*g + 2/15*g**4 - 2/15*g**2 - j*g**3 = 0. What is g?
-1, 0, 1
Find v, given that -25/3*v - 130/3*v**2 - 1/3*v**5 + 125/3 + 5/3*v**4 + 26/3*v**3 = 0.
-5, -1, 1, 5
Let q(x) be the first derivative of x**5/15 + 7*x**4/6 + 8*x**3 + 77*x**2/2 - 4. Let h(t) be the second derivative of q(t). Factor h(u).
4*(u + 3)*(u + 4)
Let a(g) be the third derivative of -g**6/360 + g**5/10 - 11*g**4/24 + 8*g**3/9 + 2*g**2 + 474*g. Solve a(u) = 0 for u.
1, 16
Let t be 17/(816/(-2688)) + 58. Find s such that 3/4*s**4 + 0*s + 0 + 63/4*s**t - 15/2*s**3 = 0.
0, 3, 7
Factor -1915/2*p + 5/4*p**2 + 733445/4.
5*(p - 383)**2/4
Let z = -1556 - -1558. Suppose 2 = z*a + s, 0 = -6*a + 5*a - s. Factor 2/7*i**a - 8/7 + 6/7*i.
2*(i - 1)*(i + 4)/7
Solve 0*q**2 + 0 + 0*q - 9/4*q**4 - 1/8*q**5 + 0*q**3 = 0.
-18, 0
Let l(s) be the third derivative of s**6/420 - 2*s**5/21 + 11*s**4/28 + 18*s**3/7 + 2759*s**2. Factor l(o).
2*(o - 18)*(o - 3)*(o + 1)/7
Let b(q) = 28*q**2 + 160*q + 1600. Let y(a) = 4*a**2 - 3*a. Let x(o) = 9*o**2 - 7*o. Let w(p) = 3*x(p) - 7*y(p). Let h(k) = -b(k) - 24*w(k). Factor h(s).
-4*(s + 20)**2
Let i(n) be the second derivative of 0 + 0*n**4 + 1/10*n**5 + 6*n + 0*n**3 - 1/45*n**6 + 0*n**2. Factor i(k).
-2*k**3*(k - 3)/3
Let q(a) be the second derivative of 1/16*a**4 - 1/8*a**2 + 0 + 3*a - 1/12*a**3. Factor q(s).
(s - 1)*(3*s + 1)/4
Let t(g) = -g**4 + 3*g**3 - 4*g**2 - 2*g + 2. Let u(r) = r**2 + r - 1. Let m be (-198)/88 + 3/(-4). Let k(w) = m*t(w) - 6*u(w). Find i such that k(i) = 0.
0, 1, 2
Let a(h) be the third derivative of -1/70*h**7 + 0 + 1/10*h**6 - 1/10*h**5 + 3*h**2 - 15*h - 1/2*h**4 + 3/2*h**3. Factor a(o).
-3*(o - 3)*(o - 1)**2*(o + 1)
Suppose 1327*h - 684*h + 70 = 678*h. Factor -9 - 3/2*f**5 + 69/2*f - 48*f**h + 27*f**3 - 3*f**4.
-3*(f - 1)**4*(f + 6)/2
Let k(c) be the third derivative of 5*c**7/14 + 31*c**6/12 + 17*c**5/3 + 5*c**4/3 + 244*c**2 + 3*c. Factor k(d).
5*d*(d + 2)**2*(15*d + 2)
Let x = -343760 - -343760. Determine p, given that x + 12/7*p**3 - 3/7*p**2 + 3/7*p**4 - 12/7*p = 0.
-4, -1, 0, 1
Let h(w) = -60*w**2 - 1508*w - 1512. Let t(z) = -23*z**2 - 503*z - 504. Let q(g) = -3*h(g) + 8*t(g). Solve q(p) = 0 for p.
-1, 126
Let o = 92 - 90. What is a in -6*a**3 - 24 - 13*a**2 - 10*a**o + 0*a**3 - 9*a**2 - 52*a + 2*a**3 = 0?
-6, -1
Let o(i) be the third derivative of i**7/1680 - 11*i**6/960 + 3*i**5/40 - i**4/12 - 4*i**3/3 - 363*i**2. Let o(r) = 0. What is r?
-1, 4
Let n be 4 - (5 + 19 + -24). Let p(y) be the first derivative of 3/25*y**5 + 2 - 1/5*y**3 + 1/10*y**6 + 0*y**2 + 0*y - 3/20*y**n. Let p(c) = 0. What is c?
-1, 0, 1
Let v = 671 - 666. Suppose -3*p + v*b - 10 = 0, -2*p + 16*b - 6 = 13*b. Factor p*d + 1/10 - 1/10*d**2.
-(d - 1)*(d + 1)/10
Suppose 4*h + 3*r - 143 + 126 = 0, -3 = 2*r - 3*r. What is y in -920/7*y**h + 544/7*y - 324/7*y**4 + 774/7*y**3 - 128/7 + 54/7*y**5 = 0?
1, 4/3
Let y(g) = -56*g**2 + 188*g - 166. Let x(z) = -6*z**2 + 15 - 17*z - 6*z**2 + 9*z**2 + 8*z**2. Let w = -107 - -39. Let i(j) = w*x(j) - 6*y(j). Factor i(n).
-4*(n - 6)*(n - 1)
Let n be 23 + -17 - (-24)/(-6). Let u(p) be the first derivative of 24/5*p**2 - 16/5*p + n + 28/15*p**3. Factor u(w).
4*(w + 2)*(7*w - 2)/5
Let r(t) be the first derivative of -t**5/20 + t**4/4 + 2*t**3/3 - 256*t - 77. Let z(a) be the first derivative of r(a). Find k such that z(k) = 0.
-1, 0, 4
Let y = 9200/6927 - -12/2309. Let q(a) be the third derivative of 0*a + 1/30*a**6 - 1/2*a**4 + 27*a**2 + 0 + 0*a**5 - y*a**3. Factor q(u).
4*(u - 2)*(u + 1)**2
Let w(p) be the second derivative of p**5/50 - p**4/2 + 16*p**3/5 + 64*p**2/5 - 2665*p. Factor w(j).
2*(j - 8)**2*(j + 1)/5
Factor 2/11 - 2004/11*v + 502002/11*v**2.
2*(501*v - 1)**2/11
Let l(c) be the third derivative of 41*c**2 + 1/10*c**6 + 0*c - 1/2*c**4 + 0 + 0*c**3 + 1/15*c**5 - 2/105*c**7. What is s in l(s) = 0?
-1, 0, 1, 3
Let a(r) = r. Let i(n) = 2*n**2 - 8*n. Let p = -46 + 88. Let b = p + -40. Let k(v) = b*a(v) + i(v). Factor k(o).
2*o*(o - 3)
Let b be (-2)/8 - (-4 - 74/8). Let d = b + -13. Factor 5 - 5*k**2 - k**3 + 5*k + d + 0 - 4*k**3.
-5*(k - 1)*(k + 1)**2
Let j(z) = z - 7. Let d(g) = g**3 - 19*g**2 + 22*g + 164. Let f(p) = -d(p) - 4*j(p). Determine y, given that f(y) = 0.
-2, 4, 17
Let p(k) = -4*k**3 + 60*k**2 + 3192*k - 3408. Let x(q) = q