. Calculate a.
-3936
Factor 5/6*j**3 - 190*j**2 + 0 - 1145/6*j.
5*j*(j - 229)*(j + 1)/6
What is q in -270 - 1/4*q**4 - 9*q + 1/4*q**3 + 33/2*q**2 = 0?
-6, -5, 6
Factor 0 + 575*o + 5/4*o**3 - 2305/4*o**2.
5*o*(o - 460)*(o - 1)/4
Determine u so that -45747075/7 - 3/7*u**2 + 23430/7*u = 0.
3905
Suppose a = -5*g + 7, 24*a + 4*g = 25*a - 16. Suppose a*z - 3*z = 0. What is t in 0 + 0*t - 3*t**3 - 3/4*t**5 + z*t**2 + 3*t**4 = 0?
0, 2
Let q(c) = 3*c**2 - 125*c + 508. Let w(b) = -2*b**2 + 83*b - 335. Let h(a) = 5*q(a) + 8*w(a). Solve h(d) = 0.
4, 35
Solve -560*s**2 + 153*s - 91*s + 110*s**3 + 3072*s**5 + 20*s**4 - 3077*s**5 + 193*s + 900 = 0 for s.
-5, -1, 3, 4
Suppose 0 = 4*g + 2*m + 22, -7*g = -2*g + m + 20. Let a(q) = -3*q**2 - 27*q - 3. Let v(h) = 9*h**2 + 81*h + 8. Let d(z) = g*v(z) - 8*a(z). Factor d(f).
-3*f*(f + 9)
Factor 2/3*i**3 + 22188 + 10750*i - 512/3*i**2.
2*(i - 129)**2*(i + 2)/3
Factor 6*w**2 - 4542*w + 10*w**2 + 2938*w - 1620.
4*(w + 1)*(4*w - 405)
Factor -671/2*f + 1/2*f**3 - 7*f**2 - 2178.
(f - 36)*(f + 11)**2/2
Let p be 3 + -4*(-7)/((-560)/60). Factor 0*m - 2/5*m**5 + 0 + p*m**2 + 6/5*m**3 + 4/5*m**4.
-2*m**3*(m - 3)*(m + 1)/5
Let b(s) be the second derivative of -s**7/14 + 7*s**6/10 + 87*s**5/20 - 339*s**4/4 + 450*s**3 - 1134*s**2 + 43*s + 29. Determine m so that b(m) = 0.
-7, 2, 3, 6
Let o = -247161 + 741484/3. Let 4/3*g**2 - o*g + 1/3*g**3 - 4/3 = 0. Calculate g.
-4, -1, 1
Determine k, given that 60623842 - 175356449 - 5970*k**2 - 5*k**3 - 2992441*k - 200491353 + 616381*k = 0.
-398
Let -24192/13 + 9504/13*i - 1368/13*i**2 + 86/13*i**3 - 2/13*i**4 = 0. Calculate i.
7, 12
Let y(c) be the third derivative of c**6/360 - 4*c**5/45 - 35*c**4/18 + 392*c**3/3 + 578*c**2. Let y(j) = 0. Calculate j.
-12, 14
Solve 114/7*o**3 - 124/7*o**2 - 24*o - 10/7*o**4 + 80/7 = 0.
-1, 2/5, 2, 10
Let j(t) = 16*t**3 + 2105*t**2 - 21*t - 2100. Let u(c) = 105*c**3 + 13683*c**2 - 138*c - 13650. Let k(m) = -33*j(m) + 5*u(m). Suppose k(l) = 0. What is l?
-350, -1, 1
Let o(l) = -5*l**2 - 316*l + 628. Let w(m) = -20*m**2 - 1265*m + 2510. Let q(f) = 25*o(f) - 6*w(f). Factor q(u).
-5*(u - 2)*(u + 64)
Suppose p = k + 22 + 11, 0 = -4*k + 4. Let j be p/6 - (-4)/(-6). Factor 15*w**3 + 5*w - 6*w**4 + 4*w**4 + 2*w**4 + 15*w**2 + j*w**4.
5*w*(w + 1)**3
Let m(j) be the first derivative of -3*j**3 - 63*j**2/2 + 126*j - 81. Let c(l) = -l**2 - 2. Let w(b) = 6*c(b) - m(b). Factor w(g).
3*(g - 2)*(g + 23)
Let a(w) be the first derivative of w**4/12 - 25*w**3/9 - 53*w**2/6 - 9*w + 647. Factor a(n).
(n - 27)*(n + 1)**2/3
Determine p so that -18*p**2 + 40/3 + 536/3*p = 0.
-2/27, 10
Let u(z) be the first derivative of z**5/30 - 89*z**4/24 + 214*z**3/9 - 169*z**2/3 + 56*z - 462. Factor u(c).
(c - 84)*(c - 2)**2*(c - 1)/6
Let g be 0/(-3) + ((-2)/(-9))/1. Let c = -312 - -314. Factor -g*r**c - 2/3*r + 8/9.
-2*(r - 1)*(r + 4)/9
Let o(w) = -19*w**3 - 4445*w**2 - 1240977*w + 1245441. Let j(n) = -n**3 + n**2 + n - 1. Let k(b) = 15*j(b) - o(b). Determine q so that k(q) = 0.
-558, 1
Let w(y) be the third derivative of y**6/120 + 7*y**5/60 - 2*y**4 - 30*y**3 + 50*y**2 - 2*y - 17. What is k in w(k) = 0?
-10, -3, 6
Let r be 28/44*316/3318. Let g(k) be the third derivative of -21*k**2 - r*k**3 + 0 + 0*k + 1/660*k**6 - 2/165*k**5 + 5/132*k**4. Factor g(z).
2*(z - 2)*(z - 1)**2/11
Let h(r) be the first derivative of -3*r**4/4 + 18*r**3 + 57*r**2/2 - 11327. Find k, given that h(k) = 0.
-1, 0, 19
Let q(n) be the third derivative of n**8/1680 - n**6/30 + 8*n**4/15 - 337*n**2. What is m in q(m) = 0?
-4, -2, 0, 2, 4
Suppose 2*q + 4*k = -7 - 5, -2*q = -19*k - 80. Let v(p) be the first derivative of 21 + 3/2*p**q - 1/7*p**3 + 0*p. Let v(x) = 0. What is x?
0, 7
Let h(g) be the second derivative of 7/2*g**2 + 0 - 4/3*g**3 + 1/12*g**4 + 57*g. Factor h(l).
(l - 7)*(l - 1)
Let q(h) be the first derivative of 1/4*h**2 + 1/6*h + 1/24*h**4 + 1/6*h**3 - 97. Suppose q(u) = 0. Calculate u.
-1
Suppose -4*z = 5*t + 29, 3*t = t + 6. Let b = 27 + z. Solve 4*n**5 - 16*n**2 + 7*n**4 - 20 - b*n**3 + 20 - 3*n**4 = 0.
-2, -1, 0, 2
Let o(s) = -7*s**2 - 15*s + 33. Let i be o(3). Let d be 270/i*(-5)/21. Solve d - 1/7*t**2 + 1/7*t = 0 for t.
-2, 3
Suppose -114*o - 272*o + 1544 = 0. Solve 3 + 46/3*u**2 + 3*u**o - 10*u**3 - 11*u - 1/3*u**5 = 0 for u.
1, 3
Let b(l) be the second derivative of 3*l**5/80 - 7*l**4/24 - 23*l**3/24 - 3*l**2/4 + 373*l + 4. Suppose b(t) = 0. What is t?
-1, -1/3, 6
Let r be -9 + 528/56 - (-11)/7. Let i(t) be the third derivative of 0 + 0*t + 19*t**r + 4/9*t**5 - 5/9*t**4 + 5/18*t**3. Factor i(a).
5*(4*a - 1)**2/3
Let g be 1 - 4 - -2 - 11. Let c(w) = -w**3 - 9*w**2 + 23*w - 6. Let r be c(g). Let -4 - 2*q**3 + 10*q - r*q**2 + 148*q**2 - 2 = 0. What is q?
-3, 1
Find n such that -288/7*n + 3/7*n**3 - 240/7 - 45/7*n**2 = 0.
-4, -1, 20
Suppose -4*z - 10*l = -6*l - 10268, 5*l = -10. What is n in -11186*n**3 - 4608*n - 2398*n**2 - 14711*n**3 - 13122*n**4 - 13154*n**2 - 512 + z*n**3 = 0?
-4/9
Let r(x) be the second derivative of 0*x**3 + 12 - 2*x + 0*x**2 + 2/7*x**7 + 1/6*x**4 - 3/5*x**5 - 1/15*x**6. Determine z so that r(z) = 0.
-1, 0, 1/6, 1
Let u(r) = -5*r - 4. Let m be u(5). Let k = m - -31. Factor -6*c + k*c**3 - 14*c**2 + 4*c + 10 - 9*c**2 + 13*c**2.
2*(c - 5)*(c - 1)*(c + 1)
Let z(q) = 87*q**3 + 17431*q**2 + 28949*q + 11560. Let t(y) = -21*y**3 - 4358*y**2 - 7237*y - 2890. Let u(d) = 9*t(d) + 2*z(d). Factor u(i).
-5*(i + 1)*(i + 289)*(3*i + 2)
Let d be 64/400*15/6*(-1)/(-3). Let p(a) be the second derivative of 0*a**2 + 1/5*a**5 - 4/3*a**4 - 8/3*a**3 + d*a**6 + 25*a + 0. Suppose p(n) = 0. Calculate n.
-2, -1, 0, 2
Let s = -320774 - -69608240/217. Let a = s - -4/31. Factor a*h**2 + 0 + 2/7*h**3 + 0*h.
2*h**2*(h + 5)/7
Let c(a) be the third derivative of -a**6/120 + 77*a**5/60 + 505*a**4/24 - 581*a**3/6 + 12*a**2 - 8*a - 1. Factor c(b).
-(b - 83)*(b - 1)*(b + 7)
Factor 423235 - 2*q**3 + 108*q**2 - 423235.
-2*q**2*(q - 54)
Let w(l) be the first derivative of 10/3*l**3 - 55/2*l**2 + 55/4*l**4 - 34 - 10*l. Factor w(z).
5*(z - 1)*(z + 1)*(11*z + 2)
What is i in -138/13*i**3 + 0 - 128/13*i - 4/13*i**5 + 74/13*i**4 - 344/13*i**2 = 0?
-1, -1/2, 0, 4, 16
Suppose 47*p - 23 = 71. Let n(b) be the second derivative of 0 - 3/16*b**4 + 0*b**p - 3/80*b**5 + 5*b + 0*b**3. Factor n(m).
-3*m**2*(m + 3)/4
Factor 64*j - 44*j - 3117*j**2 + 2982*j**2.
-5*j*(27*j - 4)
Suppose -150 = -45*j + 35*j. Let u(r) be the second derivative of 0 + 4*r**2 + j*r - 2/3*r**3 - 1/3*r**4. Find b such that u(b) = 0.
-2, 1
Let -11/5*f**3 - 9/5*f - 1/5*f**4 - 19/5*f**2 + 0 = 0. What is f?
-9, -1, 0
Let w = 132 - 98. Find o, given that -4*o**4 - w*o + 44*o**2 + 8*o - 11*o + 8*o**3 - 10*o - o = 0.
-3, 0, 1, 4
Let z(i) be the third derivative of -i**8/1680 + i**7/105 - 301*i**4/24 + 20*i**2 - 4. Let b(v) be the second derivative of z(v). Factor b(s).
-4*s**2*(s - 6)
Let v(i) = -i + 8 - i - 7 - 6. Let r be v(-4). Let 3*q**3 + 9*q**4 - 5*q**4 + 3*q**2 - 7*q**4 - r*q = 0. What is q?
-1, 0, 1
Let m = 1627563/5 + -325512. Factor 24/5*c + m*c**4 + 18/5*c**3 + 0 - 9*c**2.
3*c*(c - 1)**2*(c + 8)/5
Let d(y) be the third derivative of -1/300*y**6 - 2/75*y**5 - y**2 + 2/5*y**3 - 17 + 0*y - 1/60*y**4. Find l such that d(l) = 0.
-3, -2, 1
Factor -2/9*s**2 + 240*s + 0.
-2*s*(s - 1080)/9
Let w(h) be the first derivative of 9/4*h**3 + 15/8*h**2 + 22 + 0*h - 3/8*h**4. Determine g so that w(g) = 0.
-1/2, 0, 5
Let n = 137/65 + -151/195. Let d(m) be the third derivative of 0 - n*m**3 + 12*m**2 + 0*m - 1/120*m**6 + 1/30*m**5 + 1/6*m**4. Find p, given that d(p) = 0.
-2, 2
Let w = -1155 - -38. Let n = w - -7822/7. Factor 0 + n*y**2 - 18/7*y.
3*y*(y - 6)/7
Let i = 1/8181 - -73627/16362. Let l be -1 - (-4 + 3 - 2). Factor 0 + i*o + 3/2*o**3 + 6*o**l.
3*o*(o + 1)*(o + 3)/2
Let k be 8 + -6 - (-28 + 24). Let x(y) be the third derivative of 1/280*y**6 - k*y**2 + 0 + 0*y + 72/7*y**3 + 3*y**4 + 5/28*y**5. Solve x(g) = 0.
-12, -1
Let i(q) be the first derivative of -q**7/735 + q**6/210 - q**5/210 + 144*q**2 - 38. Let u(b) be the second derivative of i(b). Let u(l) = 0. Calculate l.
0, 1
Let j be (6/(-21))/((-5)/35). Suppose -2*a + a + j = 0. Factor -17*s + a*s**2 - 6*s**2 + 33*s.
-4*s*(s - 4)
Let n(o) be the first derivative of -21 - o**2 + 28/9*o + 2/27*o**3. What is v in n(v) =