s = 0. What is w?
-1, 0
Let l(j) be the first derivative of 0*j + 0*j**2 - 12*j**3 - 7/3*j**6 - 45 - 51/2*j**4 + 16*j**5. Factor l(f).
-2*f**2*(f - 3)**2*(7*f + 2)
Let -24 + 3/4*p**5 - 54*p - 15/2*p**3 + 9/4*p**4 - 39*p**2 = 0. Calculate p.
-2, -1, 4
Suppose 4*s + 137 + 77 = 3*u, 2*u + s - 150 = 0. Suppose 20 = -u*g + 84*g. Solve -1/4*v**g + 0*v + 1/4 = 0.
-1, 1
Suppose 2*d = 3*q - 14 - 52, -q = 2*d - 14. Factor 4*s**5 - q*s**4 + 10 + 10 - 20.
4*s**4*(s - 5)
Suppose 116 = 11*x + 4*p, -407 = 4*x - 3*p - 369. Determine r, given that 3/2*r**5 + 6*r**x - 3*r**3 + 3/2*r + 6 - 12*r**2 = 0.
-4, -1, 1
Let s(m) be the first derivative of 1/3*m**2 + 0*m - 24 + 5/9*m**3 - 1/4*m**4. What is r in s(r) = 0?
-1/3, 0, 2
Let t(g) be the first derivative of -2*g**5/5 - 13*g**4/3 + 20*g**3/3 + 42*g**2 - 116*g + 182. Let y(r) be the first derivative of t(r). Factor y(o).
-4*(o + 1)*(o + 7)*(2*o - 3)
Let m(s) = s**3 - 4*s**2 + 5*s - 48. Let h be m(5). Factor -32/19 - 26/19*i + 6/19*i**h.
2*(i + 1)*(3*i - 16)/19
Let c(b) be the third derivative of 1/45*b**6 + 1/180*b**5 - 1/630*b**7 + 0*b + 0*b**3 - 1/9*b**4 + 1 + 2*b**2. Factor c(g).
-g*(g - 8)*(g - 1)*(g + 1)/3
Let n(v) be the second derivative of -v**6/15 - 16*v**5/5 - 373*v**4/6 - 618*v**3 - 3240*v**2 + 6440*v. What is l in n(l) = 0?
-10, -9, -4
Factor 8/17*o**4 + 2/17*o**2 + 0 + 0*o + 8/17*o**3.
2*o**2*(2*o + 1)**2/17
Factor 968/5*m - 1056/5*m**2 - 2/5*m**4 + 18*m**3 + 0.
-2*m*(m - 22)**2*(m - 1)/5
Determine v, given that -150 - 45*v**2 + 387/2*v + 3/2*v**3 = 0.
1, 4, 25
Let d(i) = i**3 - 17*i**2 + 3. Let v be d(17). Factor -v*y**2 + 6*y**4 + 156*y**3 + 3*y - 159*y**3 - 3*y**4.
3*y*(y - 1)**2*(y + 1)
Let 40/3*y**4 - 64/3 - 28/9*y**5 - 76/9*y**3 + 464/9*y - 32*y**2 = 0. Calculate y.
-12/7, 1, 2
Let c be 14065/667 + (-21 - -2) + 2/(-23). What is l in 1 + 17/4*l + 4*l**c + 3/4*l**3 = 0?
-4, -1, -1/3
Let c(j) be the third derivative of -j**7/1050 + 2*j**6/75 - 3*j**5/10 + 5*j**4/3 - 25*j**3/6 - 925*j**2. Factor c(b).
-(b - 5)**3*(b - 1)/5
Determine o, given that 2/7*o**2 + 284/7*o + 10082/7 = 0.
-71
Factor -61896*k**3 - 879130*k + 30949*k**3 + 1747684 + 30945*k**3 + 2648*k**2.
-2*(k - 661)**2*(k - 2)
What is h in -305*h**3 + 303*h**3 - 615689*h - 549*h**2 + 232003*h + 385442 - 1205*h**2 = 0?
-439, 1
Let a(k) be the first derivative of -1/16*k**4 - 1/3*k**3 + 0*k**2 + 46 + 0*k. Factor a(u).
-u**2*(u + 4)/4
Let f(n) be the second derivative of -n**7/490 + 9*n**6/280 - 6*n**5/35 + 2*n**4/7 + 34*n**2 + 3*n. Let h(w) be the first derivative of f(w). Factor h(i).
-3*i*(i - 4)**2*(i - 1)/7
Let k(y) = -y**3 + 2*y**2 + 7*y + 1. Let c be k(4). Let g be (-10)/c*252/180. Determine q so that 8/3 + 2/3*q**5 + g*q - 4/3*q**4 - 4/3*q**2 - 16/3*q**3 = 0.
-1, 1, 4
Let v(y) be the first derivative of y**5/10 + 23*y**4/4 - 145*y**3/6 + 49*y**2/2 - 1648. Find f, given that v(f) = 0.
-49, 0, 1, 2
Find l such that 250 - 751 - 118 - 48*l - 3*l**2 - 522*l - 509 = 0.
-188, -2
Let y(r) be the third derivative of -r**7/630 + r**5/30 - 11*r**4/24 + 21*r**2. Let n(v) be the second derivative of y(v). Determine l so that n(l) = 0.
-1, 1
Let o = -123686/5 - -24815. Let q = 2803/35 - o. Factor -20/7*f - q - 4/7*f**2.
-4*(f + 1)*(f + 4)/7
Let t(b) be the first derivative of -23*b**4/20 + 11*b**3/3 - 41*b**2/10 + 9*b/5 + 212. Determine u so that t(u) = 0.
9/23, 1
Suppose 37766 = 48*y + 37622. Factor 2/9*w**y + 22/9*w + 14/9*w**2 + 10/9.
2*(w + 1)**2*(w + 5)/9
Let f = 1213 + -1213. Let t(w) be the third derivative of 7/36*w**4 + 12*w**2 + 2/9*w**3 + 0 - 2/45*w**5 + f*w. Determine z, given that t(z) = 0.
-1/4, 2
Find m such that -25/2*m - 7/2*m**3 - 121/2*m**2 + 153/2 = 0.
-17, -9/7, 1
Suppose -15*n + 232 = 14*n. Let b be (-884)/100 - (n + -17). Find c such that 18/25*c - 32/25*c**2 + 2/25*c**5 + 28/25*c**3 - 12/25*c**4 - b = 0.
1, 2
Suppose -584 - 52 = -228*d + 48. Determine z so that 18/5*z - 4*z**2 + 18/5 + 2/5*z**4 - 4*z**d + 2/5*z**5 = 0.
-3, -1, 1, 3
Solve 18/5*l**3 + 12 + 21*l**2 + 144/5*l - 3/5*l**4 = 0 for l.
-2, -1, 10
Suppose 80 = 4*n + 4*g, 4*n - 5*g + g = 48. Suppose 0 = -10*d + 2*d + n. Factor -5*k - 7*k + 2*k**d - k**3 + 10*k + k.
-k*(k - 1)**2
Let h(v) = v**3 + 3*v**2 + 107*v + 212. Let w be h(-2). Find b such that 3/7*b**4 + 0*b - 54/7*b**3 + 243/7*b**w + 0 = 0.
0, 9
Suppose -96 + 88 = 2*y. Let w be (-10)/y + (-28)/42*3. Solve w*b - 3*b**2 + 5/2*b**3 + 0 = 0.
0, 1/5, 1
Let m(n) = 9015*n**3 + 5511*n**2 + 942*n + 39. Let d(s) = -1128*s**3 - 689*s**2 - 118*s - 5. Let i(w) = 39*d(w) + 5*m(w). Factor i(q).
3*q*(19*q + 6)**2
Let l(i) be the second derivative of 1/24*i**4 + 484*i**2 - 13*i + 22/3*i**3 + 0. Factor l(k).
(k + 44)**2/2
Let x be (8/2)/(-12)*3. Let i(a) = 2*a**2 - a - 1. Let b be i(x). Factor -3*k**b + 5*k + 4*k**2 + k + 8 + 0*k**2.
(k + 2)*(k + 4)
Solve 33*a**2 + 231*a - 465 - 3*a**4 + 184*a**2 + 251*a**2 - 221*a**3 + 231*a - 241*a**3 = 0.
-155, -1, 1
Factor -37650496/3 - 24544/3*a - 4/3*a**2.
-4*(a + 3068)**2/3
Let p(h) = 40*h + 320. Let v be p(-8). Factor v*m**2 - 2*m**2 + 3*m**2 + 3*m + 22*m + 19*m.
m*(m + 44)
Let b(c) be the second derivative of c**7/22680 - 13*c**6/6480 - 7*c**5/540 - 5*c**4 - 23*c + 1. Let s(i) be the third derivative of b(i). Factor s(v).
(v - 14)*(v + 1)/9
Let r = -99190 - -198381/2. Let 0*o - 1/4*o**2 + r*o**3 + 0 - 1/4*o**4 = 0. What is o?
0, 1
Factor 2/17*y + 152/17 - 2/17*y**3 - 152/17*y**2.
-2*(y - 1)*(y + 1)*(y + 76)/17
Solve -132*s**3 + 1325*s - 76*s**4 + 604*s**2 + 9965 + 20*s**5 - 9773 - 1933*s = 0 for s.
-3, 4/5, 1, 4
Suppose -5*w = 9 - 19. Suppose -4*u + 16 = 0, -3*a + 2*a = w*u - 10. Factor 3*k - 1 - 5*k + 2*k**3 - 1 + 0*k + 2*k**a.
2*(k - 1)*(k + 1)**2
Solve -36*u**2 + 122*u**2 - 73*u**2 - 18*u**2 + 8430*u - 3553245 = 0.
843
Let f(b) = -2460*b - 2450. Let h(s) = -s**2 - 7379*s - 7350. Let d(u) = -14*f(u) + 5*h(u). Suppose d(p) = 0. Calculate p.
-490, -1
Let i(b) = -7*b**2 + b - 130. Let l(w) = -6*w**2 - 109. Let k(x) = 5*i(x) - 6*l(x). What is v in k(v) = 0?
-4, -1
Let t(i) be the first derivative of i**3 + 909*i**2 + 275427*i + 5345. Factor t(b).
3*(b + 303)**2
Suppose 2000 = -m + 271*m - 160. Let g be -1 + 0 - 1*-1. Solve g + m*a + 4/3*a**2 = 0 for a.
-6, 0
Suppose 0 = -2*p + 5 - 3. Let d be p/((-3)/171*-3). Factor d*n + 18*n + 3*n**3 - 40*n.
3*n*(n - 1)*(n + 1)
Let p = 1558 + -1555. Suppose 2*j + 3*j = 375. Determine s so that 30*s**2 - j*s - s**3 + s**3 - 3*s**p = 0.
0, 5
Let u be (30192/(-576))/(-17) - (-2)/(-24). Factor 2*i**3 - 4/3*i + u*i**2 - 4 + 1/3*i**4.
(i - 1)*(i + 2)**2*(i + 3)/3
Let i(t) be the second derivative of -t**6/135 - 14*t**5/9 + 978*t. Factor i(l).
-2*l**3*(l + 140)/9
Let f be ((-54)/42)/(-3 - 2/(-14)). Let m(k) be the first derivative of k - 3 - f*k**2 - 1/30*k**3. Determine s so that m(s) = 0.
-10, 1
Let o(b) be the first derivative of 288/7*b**4 + 88 + 2985984/7*b**2 - 4/35*b**5 - 107495424/7*b - 41472/7*b**3. Find r, given that o(r) = 0.
72
Suppose -10/13*f**2 + 3376/13*f - 2022/13 = 0. What is f?
3/5, 337
Let s = 260 - 190. Factor w**4 + 11*w - 3*w**2 - 3*w**3 + s + 62 - 138.
(w - 3)*(w - 1)**2*(w + 2)
Suppose 51 = 2*q + 41. Suppose -q*x - 15 = 5*d, 0*d + 3*x = -4*d - 7. Factor -240*z - 3*z**3 - 2*z**3 + 320 - 16*z**d + 76*z**2.
-5*(z - 4)**3
Let a(i) = -i**2 - 20*i - 19. Let n be -3*20*(2 + (-36)/15). Let b(k) = k + 1. Let f(g) = n*b(g) + 3*a(g). Find j such that f(j) = 0.
-11, -1
Let b(m) be the third derivative of m**7/630 + 11*m**6/18 + 73*m**5/60 + 3544*m**2. Find n such that b(n) = 0.
-219, -1, 0
Let z(p) be the third derivative of -p**6/120 - 31*p**5/60 - 155*p**4/24 - 125*p**3/6 + 1645*p**2. Factor z(a).
-(a + 1)*(a + 5)*(a + 25)
Let -792*n + 3*n**5 - 21 - 1533*n**3 - 369*n**4 - 30*n**5 + 18 - 93 - 12 - 1875*n**2 = 0. What is n?
-6, -1, -1/3
Suppose 5*t + 5*d = 7*t - 12, 5*d = -20. Let f(p) = p**3 - 5*p**2 - 5. Let h(v) = 4*v**2 + 4. Let z(s) = t*f(s) - 5*h(s). Determine j so that z(j) = 0.
0
Let m be ((-9)/(-3276)*26)/((-2)/(-4)). Let p(q) be the first derivative of 18 - 3/14*q**4 + 0*q - 2/35*q**5 - 2/7*q**3 - m*q**2. Find f such that p(f) = 0.
-1, 0
Let c = -58 + 67. Let z(l) = -5*l**3 - 17*l**2 + 9*l. Let j(x) = x**3 + 4*x**2 - 2*x. Let w(m) = c*j(m) + 2*z(m). What is i in w(i) = 0?
0, 2
Suppose -7*p + 3*p + 64 = 0. Suppose 4*s + 4*o - p = 0, -