 0. Calculate h.
-1, 2/5, 2
Let a = 499 + -490. Solve -260 + 4*n**2 + 240 - 3*n**2 + 10*n + a*n = 0 for n.
-20, 1
Let b(h) be the first derivative of h**6/6 + 14*h**5/5 - 33*h**4 + 302*h**3/3 - 269*h**2/2 + 84*h + 5671. Factor b(s).
(s - 4)*(s - 1)**3*(s + 21)
Let n(a) = 2485*a + 497000. Let t be n(-200). Solve t*o**4 + 0 + 2/9*o**5 - 4/9*o**3 + 2/9*o + 0*o**2 = 0 for o.
-1, 0, 1
Suppose 4*j**2 + 4 - 3*j**2 - 2*j + 13*j + 24 = 0. What is j?
-7, -4
Let n be -1 + (-647)/(-333) + (-438)/8103. Let o(w) be the first derivative of 4 + 0*w**3 - 1/9*w**4 + 2/3*w**2 - n*w. Solve o(i) = 0.
-2, 1
Let w(f) be the first derivative of -7*f**2 + 4/3*f**3 + 3/2*f**4 - 203 + 4*f. Factor w(k).
2*(k - 1)*(k + 2)*(3*k - 1)
Let f be 975/99 + 168/(-36)*8/14 - -5. Factor 12 + 2/11*r**2 - f*r.
2*(r - 66)*(r - 1)/11
Determine p so that -1047*p**3 - 404*p**4 - 4581*p**3 - 32538*p**2 + 1296000 - 1058400*p - 9084*p**3 - 189942*p**2 + 22682*p**5 - 22686*p**5 = 0.
-30, -12, 1
Let t(q) be the third derivative of 0*q**3 - 65*q**2 - 1/4*q**5 + 0*q - 1 - 1/12*q**6 + 0*q**4 + 1/42*q**7. Suppose t(y) = 0. Calculate y.
-1, 0, 3
Let s(i) be the first derivative of -18/7*i**2 + 4/7*i**3 - 108/7*i + 69 + 1/7*i**4. Factor s(k).
4*(k - 3)*(k + 3)**2/7
Suppose -2*b + 18 = -w, -336*b - 5*w - 35 = -335*b. Let y(i) be the first derivative of 1/20*i**4 - 1/10*i**2 + 1/25*i**b + 0*i + 43 - 1/15*i**3. Factor y(u).
u*(u - 1)*(u + 1)**2/5
Let z be -32 - (5 + (-11223)/301). Factor 18/7*o**2 + 0 + z*o**3 - 20/7*o.
2*o*(o - 1)*(o + 10)/7
Let n(d) be the first derivative of -2*d**6/3 - 72*d**5/5 - 5*d**4 + 992*d**3 - 1440*d**2 - 930. What is s in n(s) = 0?
-12, 0, 1, 5
Let z(h) = 17*h**3 + 70*h**2 - 295*h - 1721. Let q(r) = -14*r**3 - 72*r**2 + 294*r + 1722. Let d(m) = -7*q(m) - 6*z(m). Factor d(g).
-4*(g - 12)**2*(g + 3)
Suppose -6/5*h**2 - 2/5*h**3 - 42/5 + 10*h = 0. Calculate h.
-7, 1, 3
Let u = 68 + -83. Let p be -3 - (-5)/(u/(-129)). Factor 3*n**4 + p*n**3 + 120*n**2 + 73*n + 90*n + 2*n**4 - 3*n + 80.
5*(n + 2)**4
Suppose 0 = 3*x - 8*y - 391, -x - 2*x + 371 = -4*y. Let i = 119 - x. Solve 2/5*a**i - 22/5 - 4*a = 0.
-1, 11
Let w(k) = k**3 + 10*k**2 - 25*k + 6. Let b be w(-12). Solve b*j + 2*j**2 - 4*j - 46 + 4*j + 2 = 0.
-11, 2
Let p = -623 - -618. Let r be (-657)/(-63) + p + (-4)/1. Let r*b + 8/7*b**2 + 4/7 + 2/7*b**3 = 0. What is b?
-2, -1
Let -4*z - 10*z - 264 - 43*z - 21*z - 3*z**2 = 0. Calculate z.
-22, -4
Let q(m) = m**3 - m**2 - 21*m + 8. Let y be q(5). Factor 32 + b**2 - 4*b**y + 20*b - 4*b**2 - 4*b**2 - 8 - b**2.
-4*(b - 2)*(b + 1)*(b + 3)
Let f(z) be the third derivative of -1/210*z**7 + 35/24*z**4 + 0*z + 119*z**2 - 6*z**3 - 7/24*z**6 + 37/60*z**5 + 0. Factor f(a).
-(a - 1)**2*(a + 1)*(a + 36)
Let d(u) be the second derivative of u**5/12 + 35*u**4/24 + 189*u**2/2 - 11*u. Let c(r) be the first derivative of d(r). Factor c(p).
5*p*(p + 7)
Let f(b) be the third derivative of -b**5/180 - 43*b**4/18 - 3698*b**3/9 + 5650*b**2. Let f(s) = 0. What is s?
-86
Let o(a) be the third derivative of -3/14*a**4 - 1/105*a**5 + 0 + 0*a - 16/21*a**3 + 71*a**2. Factor o(g).
-4*(g + 1)*(g + 8)/7
Let -12/5*m - 34/5*m**3 + 14/5*m**4 + 34/5*m**2 + 0 - 2/5*m**5 = 0. Calculate m.
0, 1, 2, 3
Let a be -18*2/(-14) + 2. Suppose -450 = 425*j - 650*j. Determine p so that -20/7*p**j + 16/7 - a*p = 0.
-2, 2/5
Let k(q) be the first derivative of 3*q**4/32 - 7*q**3/8 + 3*q**2 - 9*q/2 + 2139. Suppose k(d) = 0. Calculate d.
2, 3
Let c(r) be the third derivative of r**6/72 + 2*r**5 - 935*r**4/24 - 1580*r**3/9 + 20*r**2 - 185. Let c(s) = 0. Calculate s.
-79, -1, 8
Let u(j) be the second derivative of j**6/150 + 17*j**5/50 + 88*j**4/15 + 33*j**3 - 1377*j**2/10 + 4559*j. Suppose u(m) = 0. What is m?
-17, -9, 1
Let u(q) = 2*q**3 + 69*q**2 + 187*q + 5. Let g(t) = -t**3 - 34*t**2 - 105*t - 3. Let f(b) = -5*g(b) - 3*u(b). What is d in f(d) = 0?
-36, -1, 0
Let c(g) = -22*g**3 - 640*g**2 + 6113*g - 12727. Let j(p) = 15*p**3 + 425*p**2 - 4075*p + 8485. Let i(n) = -5*c(n) - 7*j(n). Let i(d) = 0. Calculate d.
-53, 4
Let a(k) be the first derivative of 3*k**4/32 + 3*k**3/4 - 27*k**2/4 + 15*k + 3185. Solve a(b) = 0 for b.
-10, 2
Let t(j) be the third derivative of -7*j**2 - 9/2*j**3 + 1/10*j**7 + 17/8*j**4 + 1/10*j**5 + 0 + 1/112*j**8 - 11*j - 9/20*j**6. Factor t(c).
3*(c - 1)**3*(c + 1)*(c + 9)
Suppose 3*v + 21*x - 135 = 0, -42 = 2*v - 2*x - 36. Solve -2/3*p**2 + 8/9 + 4/3*p**4 - 34/9*p**v + 16/3*p = 0.
-1, -1/6, 2
Let v be (-7)/(-154)*(1530/48 - 5). Let x = 37/16 - v. Factor -x*i + 0 + 6/11*i**2.
6*i*(i - 2)/11
Let c(s) be the third derivative of 0*s + 44*s**2 - 7/8*s**4 + 0 + 1/40*s**6 - 3/10*s**5 + 0*s**3. Factor c(r).
3*r*(r - 7)*(r + 1)
Let m = 23 + -24. Let s be (-4)/(-1)*m + 1136/88. Let -182/11*l**2 + 102/11*l + s*l**3 - 18/11 = 0. What is l?
3/7, 1
Let n be 34 + -41 + ((-6)/3 - 0). Let x be 12/n*(-26)/8 + -4. Determine o so that 5/3*o + 4/3 + x*o**2 = 0.
-4, -1
Let x(f) = 4*f**2 - 2857*f + 14201. Let z be x(5). What is c in z + 0*c + 1/2*c**3 - 3*c**2 = 0?
-2, 4
Let s(r) be the third derivative of r**7/945 + 47*r**6/540 + 23*r**5/135 - 1044*r**2. Factor s(c).
2*c**2*(c + 1)*(c + 46)/9
Let k(o) be the first derivative of o**6/9 + 25*o**5/24 + 5*o**4/8 + 14*o**3/3 + 30. Let t(w) be the third derivative of k(w). Find q such that t(q) = 0.
-3, -1/8
Factor 3/4*t**2 - 480 - 117*t.
3*(t - 160)*(t + 4)/4
Let v(g) = -6*g**2 + 659*g - 4100. Let y(w) = 369 - 29 - 220*w - 167 + 1194 + 2*w**2 + w**2. Let u(i) = 2*v(i) + 7*y(i). Solve u(j) = 0 for j.
37/3
Suppose 22 + 14 = 9*p. Suppose 0 = 35*l - 37 - 33. Factor 12 + 1/3*q**l + p*q.
(q + 6)**2/3
Factor -2/15*b**2 - 328/15*b - 326/15.
-2*(b + 1)*(b + 163)/15
Let j be (4 - 12/9)*(-513)/12. Let g be ((-3)/j)/((-15)/(-60)). Suppose -g*r**3 + 8/19 - 8/19*r**2 + 2/19*r = 0. Calculate r.
-4, -1, 1
Let h be ((-8)/504)/((-474)/2844). Solve h*x**5 + 32/21*x**2 - 20/21 - 2/7*x + 4/21*x**3 - 4/7*x**4 = 0 for x.
-1, 1, 2, 5
Suppose 633 = 11*w - 159. What is i in w - 5*i**2 + 3*i**4 + 2*i**4 - 32 + 5*i**3 - 40 + i**5 - 6*i = 0?
-3, -2, -1, 0, 1
Let n = -3351 - -3351. Find g such that -1/3*g**3 + 1/6*g**4 + 0 + n*g + 0*g**2 + 1/6*g**5 = 0.
-2, 0, 1
Let t(d) be the third derivative of -375*d**8/112 - 1265*d**7/7 - 62989*d**6/24 + 4301*d**5/3 - 1445*d**4/6 - 3*d**2 + 195. Factor t(c).
-5*c*(c + 17)**2*(15*c - 2)**2
Let p(l) be the first derivative of 5*l**3/3 + 205*l**2/2 + 200*l + 617. Factor p(a).
5*(a + 1)*(a + 40)
Suppose 146*c + 106*c - 1512 = 0. Let n(d) be the first derivative of 15*d - 15/2*d**4 - 5*d**5 + 10/3*d**3 + 35/2*d**2 - 5/6*d**c - 4. Factor n(u).
-5*(u - 1)*(u + 1)**3*(u + 3)
Let n(b) = b**2 - 12*b + 33. Suppose 0 = 5*v + v - 72. Let o(f) = -65 + 2364*f**2 + v*f + 12*f - 2366*f**2. Let d(r) = -7*n(r) - 3*o(r). Factor d(z).
-(z - 6)**2
Let j(k) be the second derivative of k**4/12 + 7*k**3/2 + 54*k**2 + 1496*k + 1. Factor j(t).
(t + 9)*(t + 12)
Determine j, given that -j**3 + 29*j**2 + 2*j**4 + 32*j**2 - 63*j**2 + 20*j - 19*j**3 = 0.
-1, 0, 1, 10
Let 2/7*k**2 + 116/7 + 118/7*k = 0. What is k?
-58, -1
Let f(k) be the first derivative of k**4/4 - k**3/3 - 9*k**2/2 + 7*k + 24. Let u be f(8). Factor 1 + d**2 + 1024*d**4 + 64*d + 1024*d**3 + 3 + u*d**2.
4*(4*d + 1)**4
Let x(i) be the third derivative of i**7/630 - 7*i**6/180 - 4*i**5/15 + i**4/8 + 5*i**3/2 + 25*i**2 - 4. Let c(f) be the second derivative of x(f). Factor c(m).
4*(m - 8)*(m + 1)
Let n(w) = 2*w**2 + 42*w + 7. Let p be (2/(-12)*14)/((-18)/(-108)). Let x(z) = -z**2 - 20*z - 3. Let i(g) = p*x(g) - 6*n(g). Solve i(m) = 0.
-14, 0
Let q(r) be the first derivative of 1/7*r**4 + 2/7*r**5 - 1/7*r**6 - 285 + 0*r**3 + 0*r**2 + 0*r. Factor q(j).
-2*j**3*(j - 2)*(3*j + 1)/7
Suppose 2*q - 4*g = 6, -3*q = -4*g + 6*g - 9. Let m(r) be the first derivative of 5/2*r**2 + 6*r + 1/3*r**q - 9. Factor m(j).
(j + 2)*(j + 3)
Let t(n) be the second derivative of n**6/10 + 39*n**5/10 + 48*n**4 + 144*n**3 + 4577*n. Factor t(v).
3*v*(v + 2)*(v + 12)**2
Suppose 1317*s - 26 = 1320*s - 4*p, 0 = s + 5*p - 42. Factor -32/3*x + 1/3*x**s + 256/3.
(x - 16)**2/3
Let x(i) be the first derivative of i**3/24 + 35*i**2/4 - 141*i/8 - 564. Solve x(y) = 0 for y.
-141, 1
Let j be 6/(-5)*2200/(-9900). Factor 4/15*k**2 - 2/15*k**3 - j + 2/15*k.
-2*(k - 2)*(k - 1)*(k + 1)/15