*o - 19 + 10*o**p. What is d in x(d) = 0?
1, 3
Let s be ((-672)/120)/(-7 - 182/(-35)). Factor 4/9*o**3 + s*o**2 + 20/9 + 44/9*o.
4*(o + 1)**2*(o + 5)/9
Let d(f) be the second derivative of 5*f**8/336 - f**7/7 + 11*f**6/24 - f**5/2 - 73*f**2 - 114*f. Let g(h) be the first derivative of d(h). Factor g(b).
5*b**2*(b - 3)*(b - 2)*(b - 1)
Let g be (-2)/(-31) - (-200)/(-3100). Let t(c) be the second derivative of 1/100*c**5 + g - 1/5*c**2 - 1/30*c**3 - 4*c + 1/30*c**4. Factor t(b).
(b - 1)*(b + 1)*(b + 2)/5
Suppose 80*v**2 + 45*v**3 - 5*v**4 - 1601*v + 288*v + 593*v = 0. What is v?
-4, 0, 4, 9
Solve -5*r**4 + 4*r**4 + 5*r**2 + r**2 + 58*r**3 - 61*r**3 + 8*r + 0*r**2 = 0 for r.
-4, -1, 0, 2
Suppose -12 + 49/4*l - 1/4*l**2 = 0. Calculate l.
1, 48
Let v(l) be the first derivative of -l**3/15 + 467*l**2/5 + 187*l + 4246. Determine p so that v(p) = 0.
-1, 935
Solve -234/5*u + 3/5 + 237/5*u**4 + 234/5*u**3 - 48*u**2 = 0 for u.
-1, 1/79, 1
Let v(k) be the second derivative of k**6/240 - 17*k**5/160 - 5*k**4/24 + 3*k**3/4 - 1517*k + 2. Determine r so that v(r) = 0.
-2, 0, 1, 18
Let d(z) be the first derivative of -2*z**3/39 - 48*z**2/13 + 98*z/13 + 3381. Suppose d(i) = 0. Calculate i.
-49, 1
Let l(i) be the second derivative of -1/18*i**4 + 4/3*i**2 + 1/3*i**3 + 0 - 30*i. Factor l(j).
-2*(j - 4)*(j + 1)/3
Let u = -613 + 895. Factor -124 - 286*v**2 - 52*v + u*v**2 + 180*v.
-4*(v - 31)*(v - 1)
Factor -109440*m + 14265*m**4 + 386 + 15138*m**4 + 46 - 178794*m**3 + 87768*m + 278931*m**2.
3*(m - 3)**2*(99*m - 4)**2
Let g(w) be the second derivative of -w**6/60 + 103*w**5/120 + 77*w**4/72 - 247*w**3/36 + 35*w**2/6 + 958*w. Solve g(j) = 0.
-2, 1/3, 1, 35
Suppose -9*x = -341 + 8. Factor -8*g**2 - 6*g**2 + 26*g - 176*g + x + 7.
-2*(g + 11)*(7*g - 2)
Let l(o) be the third derivative of -o**8/40320 - o**7/5040 + 179*o**4/24 + 197*o**2. Let g(a) be the second derivative of l(a). Solve g(h) = 0.
-3, 0
Let c = 9129 + -9129. Let p(x) be the first derivative of 0*x**3 + c*x**2 - 1/14*x**4 - 16 + 0*x + 2/35*x**5. Find h, given that p(h) = 0.
0, 1
Let s = -269 + 293. Let y be s/(-4 + 8)*(-1)/(-3). Factor -12/19 + 16/19*t**y - 10/19*t + 6/19*t**3.
2*(t - 1)*(t + 3)*(3*t + 2)/19
Suppose -3*v = -743 - 259. Let m = v - 331. Determine r so that 0*r + 0 + 1/2*r**m + 0*r**2 - 1/2*r**4 = 0.
0, 1
Suppose -58/7*n**2 + 0 + 78/7*n + 2/7*n**4 - 22/7*n**3 = 0. What is n?
-3, 0, 1, 13
Let o(l) = -3*l**2 + 11*l - 12. Let a be o(6). Let b = 56 + a. Find d, given that 102 + 5*d**4 - 3*d**3 + 20*d + 10*d**b - 117 - 17*d**3 = 0.
-1, 1, 3
Let h = 111632 - 111628. Factor 1/5*i**2 + 0*i + 1/5*i**h + 2/5*i**3 + 0.
i**2*(i + 1)**2/5
Let u(v) = -818*v + 37632. Let a be u(46). Factor 2/9*z**a + 52/9*z - 2 + 4/3*z**3 - 16/3*z**2.
2*(z - 1)**3*(z + 9)/9
Let h(z) = -22*z**2 + 6 + 4*z - 26*z**2 + 58*z**2. Let k(t) = 21*t**2 + 6*t + 13. Let u(x) = -13*h(x) + 6*k(x). Factor u(o).
-4*o*(o + 4)
Let z be (80/126)/(2190/7884). Factor 12/7*o - 2/7*o**2 - z.
-2*(o - 4)*(o - 2)/7
Let r be 0 + (2/80 - (-81)/(-1512)*-7). Factor r*p**4 + 2/5*p**3 - 2/5*p**2 + 0 - 2/5*p.
2*p*(p - 1)*(p + 1)**2/5
Let h(n) = -6*n**3 + 24*n**2 - 46*n + 32. Let s(c) = -21*c**3 - 82*c + 120*c**2 - 10*c**3 - 147*c + 160. Let r(i) = 11*h(i) - 2*s(i). Factor r(o).
-4*(o - 2)**3
Let v = -3/246289 + 3940645/1724023. Factor 40/7 - 2/7*r**2 - v*r.
-2*(r - 2)*(r + 10)/7
Let z(a) be the first derivative of 9200*a**3/27 - 205*a**2 + 4*a/9 - 6493. Factor z(c).
2*(5*c - 2)*(920*c - 1)/9
Suppose -2/7*v**5 - 368/7*v**3 - 494/7*v + 92*v**2 + 80/7*v**4 + 20 = 0. Calculate v.
1, 2, 35
Suppose 24*d**4 + 0*d**4 + 26*d**2 + d**5 - 18*d**3 + 2 - 24*d**3 + 41*d - 17*d**4 - 35 = 0. What is d?
-11, -1, 1, 3
Let q be (-3)/((14/10)/(1/115)). Let k = q + 7/23. Solve 8/7*w - 52/7*w**2 + 16/7 - k*w**3 + 48/7*w**4 - 18/7*w**5 = 0 for w.
-2/3, 1, 2
Suppose 1226*g = 1236*g. Let a(z) be the third derivative of -1/2*z**3 - 11*z**2 + g*z**4 + 0*z - 1/160*z**6 + 0 + 3/80*z**5. Determine x, given that a(x) = 0.
-1, 2
Let a(t) be the first derivative of 1/6*t**3 + 165 + 43/4*t**2 + 41*t. Let a(m) = 0. Calculate m.
-41, -2
Let y(s) be the first derivative of s**5/22 - 41*s**4/33 + 32*s**3/3 - 128*s**2/11 - 20*s + 4. Let g(x) be the first derivative of y(x). Factor g(w).
2*(w - 8)**2*(5*w - 2)/11
Let p be (4550/819)/50 + (-5)/(-20)*4/(-9). Suppose -1/11*f**2 + 1/11*f**5 + 1/11*f**4 + p + 0*f - 1/11*f**3 = 0. What is f?
-1, 0, 1
Let t(a) be the third derivative of 7/32*a**4 + 0*a**3 + 1/80*a**5 + 0*a - 75*a**2 + 0. What is h in t(h) = 0?
-7, 0
Solve -105*m**2 - 15 - 1071*m + 967*m - 3*m**4 - 21 - 41*m**3 + m**5 = 0.
-2, -1, 9
Let b be (-3)/(-5)*(2 - -3). Suppose 0 = 3*m + t - 182, -246 = -0*m - 4*m - 2*t. Factor m*i - 121*i - 5*i**b - 5 + 5*i**2 + 67*i.
-5*(i - 1)**2*(i + 1)
Factor -98*p - 18/7*p**4 - 4118/7*p**2 + 0 - 6186/7*p**3.
-2*p*(p + 343)*(3*p + 1)**2/7
Determine z, given that 8*z**4 + 43*z - 11*z**4 - 39*z**2 + 89*z**2 + 81*z**3 + 121*z**2 + 44*z = 0.
-1, 0, 29
Let z be (30/(-100))/((-18)/240). Let r(v) be the second derivative of 0 - 1/18*v**3 - 1/60*v**5 + 4/15*v**6 + z*v - 8/63*v**7 - 1/6*v**4 + 0*v**2. Factor r(w).
-w*(w - 1)**2*(4*w + 1)**2/3
Suppose -68 + 56 = -4*t. Solve 21*f**t + 12 - 12*f + 16*f**3 - 34*f**3 - 3*f**2 = 0.
-2, 1, 2
Solve -856/3*q - 91592 - 2/9*q**2 = 0 for q.
-642
Let m(f) = 14*f + 134. Let o be m(-8). Suppose 60*w - o*w - 114 = 0. Factor 1/2*c + 0 + 5/6*c**w - 7/6*c**2 - 1/6*c**4.
-c*(c - 3)*(c - 1)**2/6
Let o(i) = i**2 + i - 31. Let m(p) = -3643*p**2 - 1888*p - 307. Let n(z) = -m(z) + 2*o(z). Factor n(a).
5*(27*a + 7)**2
Let o = -4010 - -4016. Let z(v) be the third derivative of 1/840*v**7 - 1/12*v**3 - 1/160*v**o + 0*v + 0 + 1/240*v**5 + 1/32*v**4 - 32*v**2. Factor z(k).
(k - 2)*(k - 1)**2*(k + 1)/4
Factor -27 - 3/4*c**2 + 45/4*c.
-3*(c - 12)*(c - 3)/4
What is z in -98/13*z - 188/13 + 2/13*z**3 + 92/13*z**2 = 0?
-47, -1, 2
Let d be -1 + 9/(6 + -3). Let n be ((-6)/4 - (-7)/(-14)) + 4. Factor 10*x**n + 14*x + 4*x**2 + 24 + d*x**3 + 5*x + 13*x.
2*(x + 2)**2*(x + 3)
Let k be 930/(-124)*4/(-3). Let j be (6/(-6))/((-5)/k). Factor 2*x**j + 4/3*x - 2/3.
2*(x + 1)*(3*x - 1)/3
Let y be -1*12/10*-4*30. Let n be 492/y - (-9)/(-12). Determine m, given that 4*m**2 - n*m + 4/9 = 0.
1/3
Let w(p) be the second derivative of 60*p - 5/9*p**3 + 0*p**2 + 0 + 1/18*p**4. Let w(d) = 0. Calculate d.
0, 5
Let -4/7*c**5 + 0*c**2 + 0 + 0*c**3 + 0*c + 1140/7*c**4 = 0. What is c?
0, 285
Let 6845*t**3 + 110 - 19 + 274*t**2 + 551*t - 6846*t**3 + 185 = 0. Calculate t.
-1, 276
Let u(l) = -8*l**3 + 105*l**2 - 399*l + 7. Let a(v) = -4*v**3 + 53*v**2 - 199*v + 3. Let r = -199 + 192. Let x(j) = r*a(j) + 3*u(j). Factor x(y).
4*y*(y - 7)**2
Let k(j) = 9*j**4 + 4*j**3 - 41*j**2 + 44*j - 12. Let g(o) = -18*o**4 - 7*o**3 + 79*o**2 - 88*o + 24. Let m(s) = -2*g(s) - 5*k(s). Let m(n) = 0. What is n?
-3, 2/3, 1
Let k(x) = -x + 1. Let c(s) be the third derivative of s**5/30 - 2*s**4/3 + 7*s**3/3 + 138*s**2. Let p(m) = c(m) - 6*k(m). Factor p(v).
2*(v - 4)*(v - 1)
Let h be (-2)/(-16)*-14*8. Let r(z) = 20*z**2 - 2558*z + 84486. Let w(g) = -4*g**2 + 511*g - 16897. Let s(c) = h*w(c) - 3*r(c). What is d in s(d) = 0?
65
Let c(k) be the third derivative of -k**5/30 + 104*k**4 + 1249*k**3/3 - 672*k**2 + 3*k. Let c(w) = 0. Calculate w.
-1, 1249
Find y such that -94/3*y**2 - 2/3*y**5 - 8 + 80/3*y + 14*y**3 - 2/3*y**4 = 0.
-6, 1, 2
Let c(u) be the second derivative of -u**6/6 - 15*u**5/4 - 55*u**4/2 - 290*u**3/3 - 180*u**2 - 164*u + 2. Determine k, given that c(k) = 0.
-9, -2
Let a(j) = 11*j**4 + 196*j**3 - 2853*j**2 - 3463*j + 6144. Let k(r) = -3*r**4 - 65*r**3 + 952*r**2 + 1154*r - 2048. Let m(u) = 4*a(u) + 14*k(u). Factor m(s).
2*(s - 32)**2*(s - 1)*(s + 2)
Let k be (21/9 + -2)*0/12. Suppose 51*m - 48*m - 9 = k. Factor -3/2*j**2 + 3/2*j**4 - 1/2*j**m + 0 + 1/2*j.
j*(j - 1)*(j + 1)*(3*j - 1)/2
Let t(o) be the second derivative of o**5/60 - 11*o**4/12 + 46*o**3/9 - 10*o**2 - 10726*o. Factor t(a).
(a - 30)*(a - 2)*(a - 1)/3
Suppose 0 = -154*f + 781 - 165. Let h(x) be the third derivative of 0*x - 1/72*x**f + 1/540*x**5 + 1/27*x**3 - 9*x**2 + 0. Factor h(l).
(l - 2)*(l - 1)/9
Let k = 199 - 171. Find p, given that k - 20*p**2 + 25*p**2 - 34 - 13*p = 0.
-2/5, 3
Find z such that -2073680/3 - 531320/3*