 of 22/57*p**3 + 0 - 1/114*p**4 + 3*p - 121/19*p**2. Suppose m(u) = 0. What is u?
11
Let n = 1482553/58961 - 15/8423. Suppose -4/7*d**2 - 1936/7 - n*d = 0. What is d?
-22
Suppose -4*n + 1638 = -10*n. Let b be -2 + 1 + (6 - n/(-56)). Factor 0 - 1/4*p**2 + b*p**3 + 1/8*p.
p*(p - 1)**2/8
Let l(n) be the first derivative of 2*n**4/7 + 14*n**3 - 517*n**2/7 + 240*n/7 - 2922. Find p, given that l(p) = 0.
-40, 1/4, 3
Let z(k) = 19*k**2 - 29*k**2 + 0*k**2 - 482 + 330*k - 40*k**2. Let g(x) = -x**3 - x**2 + 1. Let q(d) = -2*g(d) + z(d). What is i in q(i) = 0?
2, 11
Let o(l) be the first derivative of -l**5/10 + 13*l**4/4 + 29*l**3/2 + l**2 - 58*l - 2300. Let o(j) = 0. What is j?
-2, 1, 29
Let g(o) = -5*o**3 - 11*o**2 + 451*o + 6357. Let a(v) = 4*v**3 - v**2 + 8*v + 1. Let w(i) = 3*a(i) + 3*g(i). Solve w(t) = 0 for t.
-17, 22
Let q(j) be the third derivative of 0 - 2/5*j**5 - 176/9*j**3 + 0*j - 1/90*j**6 - 139*j**2 + 14/3*j**4. Suppose q(i) = 0. What is i?
-22, 2
Let x be (142/1491)/(4/21). Let c(m) be the second derivative of 1/12*m**4 + 1/12*m**3 - 2*m - 1/40*m**5 - x*m**2 + 0. Factor c(q).
-(q - 2)*(q - 1)*(q + 1)/2
Let a be (2 + 5)*(-17)/((-2499)/11304). Let j = a - 538. Factor 8/7 - 8/7*v + j*v**2.
2*(v - 2)**2/7
Suppose 18670*w + 2*w**5 + 808 - 18546*w + 171*w**3 + 328*w**2 - 72*w**2 - 808 + 41*w**4 = 0. What is w?
-31/2, -2, -1, 0
Let u be 7/(7/(-4)) - (-5 + -7). Let j be 55/20 + (-6)/u. Factor -9*b**j + 1 - 2 + 25*b**3 - 22*b**3 + 9*b - 2.
3*(b - 1)**3
Let y = -80 - -89. What is g in -5*g**3 - 31*g**2 - y*g**2 - 2*g**2 - 18*g**2 = 0?
-12, 0
Let g(d) = 11*d**3 - 35*d**2 - 38*d + 192. Let q(o) = 13*o**3 - 39*o**2 - 40*o + 192. Let i(x) = -6*g(x) + 5*q(x). Factor i(l).
-(l - 16)*(l - 3)*(l + 4)
Let i(t) be the first derivative of 9*t**4/26 + 1400*t**3/39 - 12*t**2 - 2555. Factor i(j).
2*j*(j + 78)*(9*j - 2)/13
Factor 72/7*r + 2/7*r**3 - 24/7*r**2 + 0.
2*r*(r - 6)**2/7
Let s(b) be the first derivative of b**4/20 - 11*b**3/5 + 26*b**2 - 2103. Factor s(z).
z*(z - 20)*(z - 13)/5
Let n(f) = -14*f**2 + 29*f - 2. Let o be n(2). Find x, given that -34/9*x**4 + 2/3*x**2 + o*x + 0 - x**5 - 19/9*x**3 = 0.
-3, -1, 0, 2/9
Suppose -4*r + 19 = -1. Suppose -15*i = -11*i - 280. Determine z so that i*z**2 - 5*z**2 + 85*z**4 - 26*z**r - 10*z - 120*z**3 + 27*z**5 - 21*z**5 = 0.
0, 1/4, 1, 2
Let h = -2889/308 + 419/44. What is f in h*f**2 + 1/7*f + 0 = 0?
-1, 0
Let k(j) be the second derivative of 0 + 1/36*j**4 + 1922/3*j**2 - 167*j - 62/9*j**3. Factor k(q).
(q - 62)**2/3
Let m be 3*((-42)/(-168))/(13/4 + 2). Factor 9/7*w + 2 + m*w**2.
(w + 2)*(w + 7)/7
Let p(l) be the second derivative of -l**5/30 + l**4 - 11*l**3/3 - 7*l**2 - 36*l. Let i(s) be the first derivative of p(s). Factor i(c).
-2*(c - 11)*(c - 1)
Solve 24*s**2 - 68*s**4 + 4283 + 14*s**3 + 36*s**3 - 4283 - 6*s**5 = 0.
-12, -1/3, 0, 1
Let f(z) be the second derivative of 0*z**5 - 11 + 0*z**2 - z + 1/10*z**6 - 3/4*z**4 - z**3. Let f(o) = 0. What is o?
-1, 0, 2
Let c(d) be the first derivative of -7*d**6/4 - 111*d**5/10 - 141*d**4/8 + 13*d**3/2 + 45*d**2/2 + 3247. Determine k so that c(k) = 0.
-3, -2, -1, 0, 5/7
Let r(x) be the second derivative of -x**4/16 - 364*x**3 - 794976*x**2 + 32*x. Solve r(n) = 0.
-1456
Suppose 1093 = -10*j + 223. Let w be j/(-168) + (-18)/48. Factor 0*t**2 + 0 - 1/7*t**3 + w*t.
-t*(t - 1)*(t + 1)/7
Let k(l) = 8*l**4 - 4*l**3 - 4*l - 14. Let h(q) = -3*q**4 + q**3 + 2*q + 5. Let s(y) = -14*h(y) - 5*k(y). Determine f, given that s(f) = 0.
-2, 0, 1
Let z(d) be the second derivative of -23*d**5/20 - 11*d**4/4 + 6*d**3 + 10*d**2 - 2*d - 84. Let z(x) = 0. Calculate x.
-2, -10/23, 1
Let m be 2*14/(-6)*2214/(-861). Suppose 185*b - 191*b = -m. Factor 0 - 5/4*y**b - 5/2*y.
-5*y*(y + 2)/4
Suppose 0 = 3*m - 2*y - 65, -m + 4*y - 4 = -19. Suppose -24*l = -m*l. Find a, given that 3*a + 4*a**3 - 3 - 10*a**3 + 3*a**2 + 3*a**3 + l = 0.
-1, 1
Factor -225 + 3*x**2 - 118 - 138*x + 478.
3*(x - 45)*(x - 1)
Let f(o) be the second derivative of o**5/10 - 9*o**4 - 55*o**3/3 - 3773*o. Find n, given that f(n) = 0.
-1, 0, 55
Let m(v) be the first derivative of -5*v**3/3 - 35*v**2 + 75*v + 702. Determine z so that m(z) = 0.
-15, 1
Let a(v) be the first derivative of v**6/6 - 3*v**5 + 29*v**4/2 - 10*v**3 - 59*v**2/2 + 45*v - 2101. Determine w so that a(w) = 0.
-1, 1, 5, 9
Find v such that 1060 + 890 - 2600 - 2*v**2 - 76*v = 0.
-25, -13
Let n = -158 - -161. Let g = -10 - -13. Factor -4*i**4 + g*i**2 + 5*i**4 + n*i**3 - 7*i**3.
i**2*(i - 3)*(i - 1)
Let a(z) be the first derivative of -z**7/1120 + z**6/160 + z**5/16 - 9*z**3 + 3*z - 109. Let u(n) be the third derivative of a(n). Let u(v) = 0. Calculate v.
-2, 0, 5
Let l = 3241092/13 + -249314. Factor 12/13 + l*u - 2/13*u**2.
-2*(u - 6)*(u + 1)/13
Let a be 24/732 - 70980/(-11895). Factor a + 2/7*x**2 + 44/7*x.
2*(x + 1)*(x + 21)/7
Factor -2*m - 12/11*m**2 + 4/11.
-2*(m + 2)*(6*m - 1)/11
Suppose -4*t + 12 = 5*c, -2*c = 2*t + 3*c + 4. Let w(z) = 4*z**2 + 28*z + 88. Let u(m) = m**2 + 4*m + 1. Let l(s) = t*u(s) - w(s). Factor l(o).
4*(o - 4)*(o + 5)
Let i be (1 - (-69)/15)*(-15)/(-6). Let u be i*(-3)/((-21)/2). What is w in -2*w**4 - 19*w**u - 60*w + 73*w**2 + 15*w**3 + 17*w**2 - 24 = 0?
-2, -2/7, 1, 2
Let f = 186935 + -186933. Factor 216/5*y + 108/5 + 8*y**3 + 144/5*y**f + 4/5*y**4.
4*(y + 1)*(y + 3)**3/5
Suppose 738/11 + 8/11*j**2 - 2954/11*j = 0. Calculate j.
1/4, 369
Factor -228*b + 3/2*b**2 + 8664.
3*(b - 76)**2/2
Let a(t) be the second derivative of 5*t**7/42 - 59*t**6/15 + 377*t**5/20 - 85*t**4/3 - 2*t**3/3 + 40*t**2 - 7*t - 40. Solve a(l) = 0 for l.
-2/5, 1, 2, 20
Suppose -228586340*d - 5*d**5 + 230*d**4 - 1264*d**3 - 1006*d**3 + 4250 + 228576015*d + 8120*d**2 = 0. Calculate d.
1, 5, 34
Let d(j) be the third derivative of -j**9/11200 - j**8/1200 - j**7/400 - j**6/600 - 17*j**5/15 + 51*j**2. Let b(o) be the third derivative of d(o). Factor b(s).
-3*(s + 1)*(s + 2)*(9*s + 1)/5
Let c = 1073/6 + -343/2. Let p be 168/(-36)*138/(-161). Factor -p*x**3 + 0 - 4*x - c*x**2 - 2/3*x**4.
-2*x*(x + 1)*(x + 2)*(x + 3)/3
Let w(s) be the third derivative of 0 + 1/60*s**5 + 0*s**3 + s**2 + 30*s - 5/12*s**4. Find t, given that w(t) = 0.
0, 10
Let g(u) be the first derivative of u**4/8 - 7*u**3/6 - 2262. Factor g(d).
d**2*(d - 7)/2
Let u = -2964 - -2964. Let a(r) be the second derivative of 1/28*r**7 + u + 9/40*r**5 - r**3 + 0*r**2 - 1/5*r**6 + 1/2*r**4 + 17*r. Let a(w) = 0. What is w?
-1, 0, 1, 2
Let s(b) = 8*b**3 - 220*b**2 + 170*b - 1671. Let i be s(27). Suppose 0*g + 0 + 2/17*g**i - 54/17*g**2 = 0. What is g?
0, 27
Let u = -5 - 15. Let w = -17 - u. What is n in -2/7*n**w - 4/7*n**2 + 6/7*n + 0 = 0?
-3, 0, 1
Let t(y) be the second derivative of -5*y**4/12 - 590*y**3/3 - 5454*y. Solve t(u) = 0 for u.
-236, 0
Let g(h) be the second derivative of 1/126*h**7 + 0*h**2 - 3/20*h**5 + 0 + 1/90*h**6 + 11/36*h**4 + 8*h - 2/9*h**3. Factor g(p).
p*(p - 1)**3*(p + 4)/3
Factor -4*c**2 + 40631 - 1012174 - 358368 - 1115825 + 8840*c - 2438364.
-4*(c - 1105)**2
Factor 62/7*t + 0 - 2/7*t**2.
-2*t*(t - 31)/7
Factor -49/9*d**3 - 4/9*d + 0 - 28/9*d**2.
-d*(7*d + 2)**2/9
Let p = -29 - -31. Suppose 2*z + 4 = -2*j, -12 = p*j + 2*z + 2*z. Find g such that -3*g**3 - 32*g + 27 - 11*g + 21*g**j - 2*g = 0.
1, 3
Let n(t) = t**3 - t + 12. Let a(c) = 8*c**3 - 68*c**2 - 76*c + 120. Let v(w) = 2*a(w) - 20*n(w). Factor v(o).
-4*o*(o + 1)*(o + 33)
Let n(l) = l**3 - 20*l**2 - 13*l - 78. Let h be n(21). Let y be h/10 - (-5 + 14). Solve 1/2 - a**2 + y*a**3 + 1/2*a**4 + 0*a = 0 for a.
-1, 1
Let n(c) = 3*c**4 - 7*c**3 + 6*c**2 + 16*c + 28. Let w(v) = 6*v**4 - 15*v**3 + 18*v**2 + 33*v + 57. Let k(l) = 9*n(l) - 4*w(l). Find f, given that k(f) = 0.
-2, -1, 2
Let s be -2*(-7)/(-2)*138/(-483). Determine c so that -9*c**4 - 16*c - 3*c**3 - 3*c**5 + 22*c + 9*c**s - 2*c**2 + 2*c**2 = 0.
-2, -1, 0, 1
Let u(l) = 4*l**4 + 24*l**3 - 60*l**2 + 32*l - 4. Let m(k) = 4*k**4 - 5 + 14*k**3 - 763*k - 60*k**2 + 795*k + 10*k**3. Let z(c) = 4*m(c) - 5*u(c). Factor z(w).
-4*w*(w - 1)**2*(w + 8)
Let y(h) be the first derivative of -h**4/18 - 8*h**3/27 + 5*h**2/3 + 4*h + 1388. Suppose y(r) = 0. Calculate r.
-6, -1, 3
Let a(k) be the first derivative of 3*k**4 - 32*k**3/3 + 8*k**2 - 4508. Factor a(z).
4*z*(z - 2)*(3*z - 2)
Let u(i) = 15*i**4 + 21*i