. What is a?
-171, -2
Find n such that 25281 + 3*n + 7*n + 3*n**2 - 2*n**2 + 308*n = 0.
-159
Find l such that 24/5*l**3 - 18/5*l**2 - 216/5*l + 2/5*l**4 + 0 = 0.
-12, -3, 0, 3
Let h(q) be the third derivative of q**8/56 - 3*q**7/14 + 9*q**6/10 - 13*q**5/10 - 3*q**4/4 + 9*q**3/2 + 1047*q**2. Find v such that h(v) = 0.
-1/2, 1, 3
Let i = 407/15 - 134/5. Let k(t) be the first derivative of 5/2*t - 9/4*t**2 - i*t**3 + 1. Suppose k(g) = 0. What is g?
-5, 1/2
Let r(i) = 42*i**3 + 888*i**2 - 5610*i - 52953. Let d(c) = -5*c**3 - 111*c**2 + 701*c + 6619. Let u(g) = 33*d(g) + 4*r(g). Factor u(s).
3*(s - 21)**2*(s + 5)
Suppose v = 6100*m - 6099*m - 16, 3*m - 146 = -4*v. Factor -2025*o**2 - 1366875/2 - 1/6*o**4 + m*o**3 + 60750*o.
-(o - 45)**4/6
Determine w, given that 78*w**3 - 152 + 3*w**4 + 399*w**2 - 648*w - 441 - 379 = 0.
-18, -9, -1, 2
Let t(d) be the first derivative of -d**8/192 - 2*d**7/105 - d**6/120 + 25*d**2/2 - 4*d - 92. Let y(i) be the second derivative of t(i). Factor y(x).
-x**3*(x + 2)*(7*x + 2)/4
Let i = -20 - -84. Let k = -5 + i. Factor h**2 - 1 + 1 + k*h - 57*h.
h*(h + 2)
Factor 6071*d**3 - 14700 + 393*d**2 - 3043*d**3 + 1260*d - 3*d**4 - 3046*d**3.
-3*(d - 7)**2*(d + 10)**2
Let m(n) be the second derivative of n**4/54 + n**3/9 - 2*n**2 - n - 125. Find t, given that m(t) = 0.
-6, 3
Let p(n) = -5*n**3 - 59*n**2 - 22*n. Let z(l) = -l**2 + 7*l. Let o(b) = -p(b) + 4*z(b). Suppose o(x) = 0. Calculate x.
-10, -1, 0
Let w(a) = 7*a - 4*a + 2 - a**3 - 2*a - 2*a + 2*a**2. Let b be w(2). Solve -9*j**2 + 12*j**2 + 9*j**2 + 5*j**4 - 8*j + b*j + 18*j**3 = 0.
-2, 0, 2/5
Let j(h) be the second derivative of -h**7/7 - 5*h**6/2 + 54*h**5/5 + 1001*h**4/2 + 3577*h**3 + 9261*h**2/2 - 283*h - 2. Solve j(m) = 0 for m.
-7, -1/2, 9
Let w(c) be the third derivative of c**5/15 - 385*c**4/2 - 15*c**2 - 144*c. Factor w(x).
4*x*(x - 1155)
Let f be (192/9 - -1)*42/14. Suppose -3*u**2 + 0*u**2 - 103*u + f*u = 0. What is u?
-12, 0
Let s be 8*-2*(-56)/(-64). Let c be (-204)/s - (-6 + 14). What is z in 2*z**3 + 40/7*z - 8/7 - c*z**2 = 0?
2/7, 1, 2
Let r(k) be the third derivative of -k**6/180 + 13*k**5/10 - 170*k**4/3 + 9700*k**3/9 + 44*k**2 + 8*k + 1. What is d in r(d) = 0?
10, 97
Determine w, given that -30/13*w**2 - 146/13*w + 20/13 = 0.
-5, 2/15
Let z(i) = i**2. Let d(k) = -4*k**2 - 232*k - 233. Let x(q) = 3*d(q) + 15*z(q). Find h such that x(h) = 0.
-1, 233
Let m(c) be the second derivative of c**5/20 - 3*c**4/4 + 4*c**3/3 + 4*c - 43. Suppose m(y) = 0. What is y?
0, 1, 8
Let u = 102146 - 102126. Solve -15/2 + 45/4*y**3 - 155/4*y - u*y**2 = 0 for y.
-1, -2/9, 3
Let a(l) be the first derivative of -7*l**6/57 - 116*l**5/95 - 107*l**4/38 + 368*l**3/57 + 564*l**2/19 + 288*l/19 + 2880. Find n such that a(n) = 0.
-4, -3, -2/7, 2
Let q(k) be the third derivative of k**8/1176 - 2*k**7/147 - 13*k**6/140 - 9*k**2 + 2*k - 198. Find p such that q(p) = 0.
-3, 0, 13
Let a(h) = -7 + 54 + 2 - 5 + 3*h. Let s be a(-14). Factor 19*y**3 + 343 + 147*y - y**2 + 22*y**s - 18*y**3.
(y + 7)**3
Suppose -651504*k**2 - 2100 + 651507*k**2 + 21*k + 384*k = 0. What is k?
-140, 5
Let o = 5 - 1. Let a(x) = x - 2. Let k be a(o). Factor -3*t**3 + 6*t**k + 1 - 3*t - 1.
-3*t*(t - 1)**2
Let y(o) = 870*o**4 + 1095*o**3 - 1410*o**2 - 500*o - 45. Let n(g) = 5*g**4 - 2*g**3 - 1. Let h(w) = 5*n(w) - y(w). What is b in h(b) = 0?
-2, -2/13, 1
Suppose 17 = -17*m - 6294*n + 6291*n, -4*n - 72 = -2*m. Find v such that -1/4 + 3/8*v - 1/8*v**m = 0.
1, 2
Factor 80*t + 0*t - 43*t**2 + 6*t**2 - 52*t**3 - 38*t**2 + 47*t**3.
-5*t*(t - 1)*(t + 16)
Let t(s) be the second derivative of -s**7/1890 + s**6/540 - 71*s**4/3 + 66*s. Let p(f) be the third derivative of t(f). Factor p(i).
-4*i*(i - 1)/3
Determine p so that 1177*p**2 - 60*p - 1356*p**2 - 3*p**5 - 177*p**3 + 2*p**5 + 2*p**5 - 20*p**4 - 37*p**4 = 0.
-1, 0, 60
Let n(c) be the second derivative of c**8/9240 - c**7/1540 + c**6/990 + 85*c**3/6 - 16*c. Let f(l) be the second derivative of n(l). What is z in f(z) = 0?
0, 1, 2
Let p(i) be the first derivative of -i**4/2 - 16*i**3 - 117*i**2 + 676*i - 895. Factor p(w).
-2*(w - 2)*(w + 13)**2
Factor -22/3*y - 40/3 + 1/3*y**3 + 1/3*y**2.
(y - 5)*(y + 2)*(y + 4)/3
Let o(l) be the first derivative of l**4/48 + l**3 + 35*l**2/24 + 650. Factor o(i).
i*(i + 1)*(i + 35)/12
Let z(t) = -t**2 + 18*t + 3. Let l(h) = -3*h**2 + 41*h + 8. Let d(a) = 6*l(a) - 14*z(a). Let w be d(-2). Factor 1/5*i**w + 0 - i.
i*(i - 5)/5
Let d(z) be the third derivative of z**6/1080 + 11*z**5/30 + 121*z**4/2 + 31*z**3/2 + 254*z**2. Let g(u) be the first derivative of d(u). Factor g(l).
(l + 66)**2/3
Let a(f) be the first derivative of 5*f**3/12 + 10*f**2 + 315*f/4 + 1407. Factor a(c).
5*(c + 7)*(c + 9)/4
Let w be 49/294 + 22/12. Factor -2*v**3 + w*v**2 + 43*v - 2 - 9*v - 17*v - 15*v.
-2*(v - 1)**2*(v + 1)
Let u(d) = 4*d**2 - 654*d - 646. Let l(m) = m**2 - 2*m + 1. Let j(k) = 12*l(k) - 4*u(k). Solve j(f) = 0 for f.
-1, 649
Let t(c) be the third derivative of -c**7/945 - 19*c**6/108 - 31*c**5/45 - 15*c**2 - c - 64. Factor t(p).
-2*p**2*(p + 2)*(p + 93)/9
Find c such that 15/2*c**3 + 0 + 39/4*c**2 + 3/4*c**4 - 18*c = 0.
-8, -3, 0, 1
Let p(n) be the second derivative of n**4/102 - n**3/17 + 2*n**2/17 + 232*n - 1. Factor p(c).
2*(c - 2)*(c - 1)/17
Let k be ((-18)/(-35))/((-1098)/378 - -3). Determine x so that -6/5*x**4 + 0 - k*x**3 + 12*x**2 + 36/5*x = 0.
-6, -1/2, 0, 2
Let d(i) be the second derivative of -i**5/80 + i**4/8 + 77*i**3/8 - 242*i**2 - 3728*i. Determine k, given that d(k) = 0.
-16, 11
Let d be 0/2 - 1 - (-34 + 283127/8580). Let i(b) be the third derivative of 0*b - 5/264*b**4 - 20*b**2 + d*b**5 + 1/11*b**3 + 0. Factor i(r).
(r - 3)*(r - 2)/11
Let w = 233034 + -233032. What is v in -32/11*v - 50/11*v**w - 8/11 - 38/11*v**3 - 14/11*v**4 - 2/11*v**5 = 0?
-2, -1
Let i(l) be the second derivative of -l**4/16 + 573*l**3/4 - 984987*l**2/8 + 3542*l. Determine t, given that i(t) = 0.
573
Let j = -4020416/4917 + -17/1639. Let g = -817 - j. Factor -1/2*l**2 + 0 + g*l - 1/6*l**3.
-l*(l - 1)*(l + 4)/6
Let h = -4736463/2702 + -2943/386. Let j = h - -1764. Find o, given that 2/7*o**3 + j - 16/7*o - 2/7*o**2 = 0.
-3, 2
Factor 63/4*p + 0 + 1/4*p**2.
p*(p + 63)/4
Let l(i) be the first derivative of i**5 + 55*i**4/4 + 10*i**3 - 110*i**2 - 200*i - 3060. Find s such that l(s) = 0.
-10, -2, -1, 2
Suppose -746 = 15*q - 791. Let j(s) be the first derivative of 0*s - 3/2*s**4 + 14 - 16/3*s**q - 4*s**2. Solve j(v) = 0.
-2, -2/3, 0
Let h = -106 - -189. Let u = h + -79. Determine l so that 11*l - 7*l - 8*l**2 - u + 6*l + 2*l**3 = 0.
1, 2
Suppose 5*c - i = 30, 0 = 4*c + 3*i - 2 - 22. Suppose 4*f + u - 13 = c*u, 3 = -3*u. Factor 185 - 185 + f*w**2 + 8*w.
2*w*(w + 4)
Let o(l) be the first derivative of -24/5*l + 64 - 2/25*l**5 - 26/5*l**3 + 3/2*l**4 + 37/5*l**2. Factor o(x).
-2*(x - 12)*(x - 1)**3/5
Let m(p) be the second derivative of p**7/84 - p**6/6 + p**5/2 - 101*p**2/2 - 5*p - 8. Let x(b) be the first derivative of m(b). Factor x(a).
5*a**2*(a - 6)*(a - 2)/2
Let s = 51 - 43. Suppose 4*w + s = 6*w. Suppose -16*r**3 + 5*r**5 - 80*r**2 + 63 + 17 + r**w - 4*r**3 + 14*r**4 = 0. What is r?
-2, 1, 2
Let j(u) = -2*u**2 + 5*u + 3. Let f(h) = h**2 - 1. Suppose -3*s = 12*g - 7*g - 17, 0 = 2*s + g - 2. Let q(i) = s*j(i) - 5*f(i). Factor q(z).
-(z + 2)*(3*z - 1)
Let p(o) = 110*o + 120. Let q be p(-1). Let s be (10 + -25 + q)*(-24)/25. Factor 44/5*w**2 + s*w + 0 - 28/5*w**3.
-4*w*(w - 2)*(7*w + 3)/5
Suppose -3*o - 28 = -43. Suppose g = -4*g + 3*x + 34, 4*g = -2*x + 14. What is n in -5*n**3 + 32*n - g*n**2 + 2*n**2 - o*n**2 + n**3 = 0?
-4, 0, 2
Suppose -115*q + 1100 = -110*q. Let w be (2 + 2)*22/q. Find o such that -96/5*o**3 + 128/5*o**2 + 24/5*o**4 + 0*o - w*o**5 + 0 = 0.
0, 4
Let n be 15/(-20)*(5 - -7) - (-20 + 4 + 7). Let s = -4 + 9. Suppose 1/4*h**s - 1/4*h + 0*h**3 + n - 1/2*h**4 + 1/2*h**2 = 0. Calculate h.
-1, 0, 1
Let n be 3*(4/6 + (-112)/42). Let q be 3/n + 644/392. Find o such that 2/7*o**3 + 8/7*o - q*o**2 + 0 = 0.
0, 2
Suppose 0 = -o - 5*i - 23, -4*i + 7 = -4*o - 7*i. Suppose -2*n + 5*f - 11 = 0, -2*n - 3*f + 14 = 1. Factor 22*z**2 + o*z - 26*z**n + 2*z.
-4*z*(z - 1)
Let j(x) = -x**2 - 902*x - 8915. Let h be j(-10). Let c(i) be the second derivative of 1/7*i**3 - 2/7*i**2 +