 - 1/14*p**7. Factor y(h).
-3*(h - 1)**2*(h + 5)**3
Suppose -3*a + 2 = -4. Let x be (15 - 2546/171)*2. Factor -4/9*g + 2/9 + x*g**a.
2*(g - 1)**2/9
Let y(t) be the third derivative of -2*t**2 - 1/360*t**6 + 25/72*t**4 - 1/630*t**7 + 0 + 2/3*t**3 - 8*t + 13/180*t**5. Find l, given that y(l) = 0.
-3, -1, 4
Let t be 272/221*52*(19/(-4) + 7). Let -972 - 16/3*q**2 - t*q = 0. Calculate q.
-27/2
Let m(n) = 645*n**5 - 1838*n**4 - 2755*n**3 - 1041*n**2 - 152*n - 7. Let p(q) = 3*q**5 + 2*q**4 + q**3 - 2*q - 1. Let c(f) = m(f) + p(f). Factor c(g).
(g - 4)*(3*g + 2)*(6*g + 1)**3
Suppose 10*i - 7*i - 6 = 0. Suppose -4*d - 3 + 11 = 0. Determine m, given that -m**i - 433 - d*m + 433 = 0.
-2, 0
Determine u, given that -5/3*u**4 - 55/3*u**2 - 55/3*u**3 + 295/3*u - 60 = 0.
-9, -4, 1
Solve -375 - 6747/2*n + 243/8*n**3 - 30321/4*n**2 = 0.
-2/9, 250
Let w(k) be the second derivative of -k**6/90 - 2*k**5/15 - 7*k**4/36 + 2*k**3 + 6*k**2 - 222*k. Determine g so that w(g) = 0.
-6, -3, -1, 2
Let q(v) be the first derivative of v**5/30 + 3*v**4/20 - 2*v**3/15 - 67*v**2/2 - v + 51. Let u(k) be the second derivative of q(k). Find n such that u(n) = 0.
-2, 1/5
Let u(i) be the third derivative of i**7/735 + i**6/35 - 23*i**5/105 - i**4/7 + 15*i**3/7 - i**2 + 4. Determine c so that u(c) = 0.
-15, -1, 1, 3
Let k be 77454/780 - 97 - (-6)/(-4). Find b such that -152/5 - k*b**2 - 84/5*b = 0.
-19, -2
Suppose -l + 32 = -3*x, 0*x - 29 = x - 4*l. Let u(o) = o**3 + 6*o**2 - 27*o. Let w be u(x). Factor 9/4*a**2 - 1/4*a**3 + w - 2*a.
-a*(a - 8)*(a - 1)/4
Let j(g) be the second derivative of 19/30*g**3 - 37*g + 11/60*g**4 - 3/100*g**5 + 1/2*g**2 + 1. Suppose j(i) = 0. What is i?
-1, -1/3, 5
Let k be 12/(((-270)/900)/((-7)/42)). Factor 2/3*x**3 + 6*x - k*x**2 + 0.
2*x*(x - 9)*(x - 1)/3
Let u(s) be the second derivative of s**4/48 - 829*s**3/3 + 1374482*s**2 - 9*s + 185. Factor u(r).
(r - 3316)**2/4
Let y(i) = -8*i**2 - 74*i - 244. Let c(r) = -29*r**2 - 221*r - 731. Let w(l) = 2*c(l) - 7*y(l). Factor w(m).
-2*(m - 41)*(m + 3)
Find m, given that 0 - 1/8*m**2 - 623/8*m = 0.
-623, 0
Let f be (-2)/7 - (-60)/14. Suppose -10*h = 8*h + 72, -5*x + 3*h + 12 = 0. What is b in x + 1/2*b**2 + 2*b**3 - 2*b - 1/2*b**f = 0?
-1, 0, 1, 4
Let o(f) be the first derivative of -20*f**2 + 5/24*f**6 + 0*f**3 + 9/4*f**5 + 55/8*f**4 + 0*f - 89. Suppose o(d) = 0. Calculate d.
-4, -2, 0, 1
Suppose -4*x = 23*x - 81. Suppose 3*h**2 - 12*h + 140 - 152 + x*h**3 + 0*h**2 = 0. Calculate h.
-2, -1, 2
Factor -1159788*o - 4*o**3 - 172*o**2 + 1159788*o.
-4*o**2*(o + 43)
Let j(q) = -q**2 + 1. Let l(h) = -h**3 + 12*h**2 - 9*h - 2. Let g be (-5)/(-20)*-4*2. Let b(x) = g*j(x) - l(x). Let b(k) = 0. What is k?
0, 1, 9
Suppose -125*u**3 + 206 - 3*u**2 + 373*u + 30 + u**4 + 14 = 0. What is u?
-1, 2, 125
Let p(k) be the third derivative of k**5/140 + 10*k**4/7 + 222*k**3/7 + 2555*k**2. Find o such that p(o) = 0.
-74, -6
Let r(c) = c**2 + 7*c + 8. Let b(j) = j**2 + 7*j + 6. Let y = -36 + 33. Let p(t) = y*r(t) + 2*b(t). Solve p(u) = 0 for u.
-4, -3
Let u(y) be the second derivative of 35*y**7 + 1001*y**6/6 + 941*y**5/4 + 185*y**4/2 - 50*y**3/3 - 20*y**2 + 9*y + 166. Determine h so that u(h) = 0.
-2, -1, -2/7, 1/6
Determine c so that 207 + 2087/4*c**2 - 25/4*c**5 - 894*c - 1655/4*c**4 + 4861/4*c**3 = 0.
-69, -1, 2/5, 3
Let d(a) be the third derivative of -1/7*a**3 + 0*a**6 - 1/588*a**8 - 1/105*a**7 + 0 + a**2 + 1/42*a**4 + 1/21*a**5 + 140*a. Suppose d(c) = 0. What is c?
-3, -1, 1/2, 1
Let r(t) be the first derivative of t**7/210 - 35*t**6/72 + 473*t**5/30 + 121*t**4/6 - 224*t**3/3 - 133. Let p(n) be the third derivative of r(n). Factor p(k).
(k - 22)**2*(4*k + 1)
Let b be (24/21)/(-4) + 11180/11739. Determine m, given that -28/3*m**2 + b*m**3 + 28/3 - 2/3*m = 0.
-1, 1, 14
Suppose 877*g - 927*g = -1400. Let n(t) be the third derivative of -1/900*t**6 + 1/90*t**4 + 0 + 0*t**3 - g*t**2 + 0*t + 1/450*t**5. Find z such that n(z) = 0.
-1, 0, 2
Determine i, given that -535/6 - 179/4*i**3 + 1069/12*i**2 + 1/12*i**4 + 179/4*i = 0.
-1, 1, 2, 535
Factor 1/5*a**3 + 35*a**2 + 1440*a - 8100.
(a - 5)*(a + 90)**2/5
Let b(g) = 6*g**2 - 7*g + 16. Let u be b(-4). Factor -5*t**3 + 177*t - 52*t + 56*t - 150 - u*t**2 + 114*t.
-5*(t - 1)**2*(t + 30)
Let 377*r**4 + 366*r**2 - 784*r**4 + 80*r**3 + 409*r**4 + 280 + 568*r = 0. Calculate r.
-35, -2, -1
Let h(l) be the third derivative of l**6/900 - 214*l**5/225 - 8616*l**2. Suppose h(k) = 0. What is k?
0, 428
Let g be (-2)/6 - 2795/(-2580). Let g*n**2 - 3 + 3/4*n**3 - 3*n = 0. Calculate n.
-2, -1, 2
Let o(r) be the first derivative of -5*r**4/12 - 95*r**3/3 - 1805*r**2/2 - 49*r + 123. Let h(f) be the first derivative of o(f). Let h(b) = 0. Calculate b.
-19
Let a = -305197/3 - -101734. Determine y so that 500/3*y + a*y**4 + 200*y**2 + 0 + 35*y**3 = 0.
-10, -1, 0
Suppose -266 = 34*i - 53*i. Suppose 4*j = i*j - 40. Find l such that -4/5*l**2 + 2/5 - 1/5*l**5 + 2/5*l**3 + 2/5*l**j - 1/5*l = 0.
-1, 1, 2
Let y be (16/20)/(4/10). Factor -5*r + 23*r - y*r**2 + 2 - 3 + 21.
-2*(r - 10)*(r + 1)
Let o(y) = -20*y**3 + 6*y**2 - 46*y + 24. Suppose -15 - 9 = -2*t. Let q(n) = -2*n**3 - n**2 - n + 1. Let u(v) = t*q(v) - o(v). What is f in u(f) = 0?
-6, 1/2, 1
Let q(m) = 8983*m + 26951. Let r be q(-3). Let -4/9*g**4 - 2/9*g**5 + 0*g**3 + 0 + 2/9*g + 4/9*g**r = 0. Calculate g.
-1, 0, 1
Suppose -1/3*n**2 + 290/3*n - 21025/3 = 0. What is n?
145
Factor -4/11*b**2 - 17/11 - 21/11*b.
-(b + 1)*(4*b + 17)/11
Let b(t) be the second derivative of -t**5/5 - 13*t**4 - 176*t**3 + 4840*t**2 - 2*t + 7. Solve b(x) = 0.
-22, 5
Let m(l) = -5*l**2 + 37*l + 110. Let p(q) = 8*q**2 - 74*q - 214. Let n(x) = x**2 + x - 3. Let r(y) = 2*n(y) + p(y). Let z(a) = -9*m(a) - 4*r(a). Factor z(v).
5*(v - 11)*(v + 2)
What is f in 124/3*f**2 + 365/3*f - 7 = 0?
-3, 7/124
Let x(v) be the third derivative of -v**6/120 - 3*v**5/40 - 4*v**3 + 6*v**2 + 4*v. Let a(y) be the first derivative of x(y). Factor a(p).
-3*p*(p + 3)
Let f(o) = 2*o**2 - o - 1. Let y(c) = -85*c**2 + 65*c + 80. Let j(d) = 3*d**2. Let x(p) = 10*j(p) + y(p). Let k(u) = 30*f(u) + x(u). Find q such that k(q) = 0.
-5, -2
Factor 1/3*c**2 - 100*c + 7500.
(c - 150)**2/3
Let l be (180 - 188)*1/4*-1. Let 7/3*d**l + 3 + 5*d + 1/3*d**3 = 0. What is d?
-3, -1
Let i(t) be the third derivative of 160*t**2 + 11/150*t**5 - 11/10*t**4 + 23/200*t**6 + 3/350*t**7 + 0 + 28/15*t**3 + 0*t. Determine d so that i(d) = 0.
-7, -2, 2/3
Let q(z) be the second derivative of z**6/1080 - z**4/72 - 20*z**3 + 72*z. Let p(j) be the second derivative of q(j). Let p(h) = 0. Calculate h.
-1, 1
Let h = -3774 + 79256/21. Let p(y) be the first derivative of 0*y + 23 - 1/14*y**2 - h*y**3 + 3/28*y**4. Determine x so that p(x) = 0.
-1/3, 0, 1
Let r = -12067 + 24895/2. Let x = r - 378. What is j in -5/2*j + x*j**2 - 5 = 0?
-1, 2
Suppose 4*w + 9*r - 10*r + 7 = 0, -2*r + 14 = w. Solve 6/11*a**3 - 12*a**2 + 66*a + w = 0.
0, 11
Let n = -255 - -1281/5. Let r = 2079 + -2077. Factor 4/5*h + n - 2/5*h**r.
-2*(h - 3)*(h + 1)/5
Let i = 413635 - 413632. Factor -a**2 + 8/5 - 2/5*a - 1/5*a**i.
-(a - 1)*(a + 2)*(a + 4)/5
Suppose 0 = -5*v + 125 - 25. Find u, given that -24 - 44*u + 3*u**2 - 4*u + v*u + 7*u = 0.
-1, 8
Let r(f) be the first derivative of 4*f - 1/3*f**3 - 100 + 0*f**2. Solve r(q) = 0 for q.
-2, 2
Solve 68/7 - 46/21*d - 32/21*d**2 + 2/21*d**3 = 0 for d.
-3, 2, 17
Let f(y) be the third derivative of -4*y**7/105 - 13*y**6/90 - y**5/15 + y**4/2 - 8*y**3 - 50*y**2 + 2*y. Let q(h) be the first derivative of f(h). Factor q(a).
-4*(a + 1)**2*(8*a - 3)
Let o(u) be the second derivative of u**5/20 + u**4/12 - u**3/3 + u**2 - 19*u. Let n be o(1). Solve -3 - 2 + 5*k**n + 4 - 10*k + 6 = 0 for k.
1
Let l = 147 - 114. Let v be (l/9 + -4)/(7/(-3)). Factor -2/7 - v*o + 1/7*o**3 + 2/7*o**2.
(o - 1)*(o + 1)*(o + 2)/7
Let w = 2 - -10. Suppose 2*u = 5*u - w. Factor 4*g - 476*g**u - 2*g + 478*g**4 - 2*g**2 - 2*g**3.
2*g*(g - 1)**2*(g + 1)
Let z(i) be the second derivative of i**6/15 + 5*i**5/2 - i**4/6 - 25*i**3/3 + 2*i - 1445. Let z(l) = 0. Calculate l.
-25, -1, 0, 1
Let l(o) = o**2 - o + 1. Let r(i) = -16*i**2 + 100*i + 660. Let s(m) = -12*l(m) - r(m). Factor s(a).
4*(a - 28)*(a + 6)
Find n such that -2/3*n**2 - 4*n + 224/3 = 0.
-14, 8
Let f(c) be the third de