14/3*r**5 + 28/3*r**2 + 0 - 30*r**3 = 0. Calculate r.
-4, -2/7, 0, 1
Factor 31*w**2 - 28*w**2 + 672 - w**4 - 432 + 20*w**3 - 68*w**2 - 200*w + 6*w**4.
5*(w - 3)*(w - 1)*(w + 4)**2
Let b(o) = -6*o**3 - 809*o**2 + 99*o - 4858. Let p be b(-135). What is t in 4/17*t + 74/17*t**p + 70/17*t**3 + 0 = 0?
-1, -2/35, 0
Let a(n) be the second derivative of -2/63*n**7 - 9*n**4 + 0*n**2 + 0*n**3 + 0 - 21/5*n**5 - 62*n + 34/45*n**6. Let a(q) = 0. What is q?
-1, 0, 9
Suppose -4*y = -3*y + 2, 0 = -4*l + y + 2. Let z(c) be the third derivative of -1/100*c**5 + 0 - 1/5*c**3 - 13*c**2 + l*c - 3/40*c**4. What is f in z(f) = 0?
-2, -1
Suppose -3*n + 69 = n + a, 3*a = -n + 20. Let o be -15*(-2 - (-2)/2). Factor 4*p - 2*p**2 + 2*p + n - 6*p**3 - o.
-2*(p - 1)*(p + 1)*(3*p + 1)
Let q(b) be the second derivative of -1/120*b**5 - 1/24*b**4 + 1/4*b**3 - 16*b**2 + 27*b + 0. Let l(a) be the first derivative of q(a). Let l(h) = 0. What is h?
-3, 1
Suppose -173 = -26*s - 43. What is u in 4*u**4 + 31*u**2 - u - 4*u**5 + 27*u**3 + 13*u + s*u**5 + 8*u**4 - 3*u**4 = 0?
-4, -3, -1, 0
Let d(h) be the third derivative of h**6/60 - h**5/2 + 21*h**4/4 - 27*h**3 + 2*h**2 - 326*h. Solve d(u) = 0 for u.
3, 9
Let d(m) be the first derivative of m**4/2 - 34*m**3/3 + 95*m**2 - 350*m + 5772. Factor d(g).
2*(g - 7)*(g - 5)**2
Let r(w) be the second derivative of 5*w**4/12 - 1505*w**3/6 + 750*w**2 - 184*w - 2. Find a, given that r(a) = 0.
1, 300
Solve 815*v - 1517*v + 7*v**2 - 37*v**2 + 830*v + v**4 - 24*v**3 - 75 = 0 for v.
-3, 1, 25
Suppose o = 3, 3*j + o + 21 = 3. Let n be 1 - -1 - (444/(-84) - j). Suppose n*c**4 + 8/7 - 6/7*c**2 + 4/7*c**3 - 8/7*c = 0. Calculate c.
-2, 1
Let m(l) = 47*l**2 - 6213*l - 1210590. Let o(n) = -13*n**2 + 1553*n + 302648. Let w(t) = -6*m(t) - 22*o(t). Suppose w(h) = 0. What is h?
-389
Let w = 45 - 21. Factor 13*v**3 - 60*v + 4*v**2 - w*v**2 - 8*v**3.
5*v*(v - 6)*(v + 2)
Let u = 31498 + -31498. Let w(z) be the first derivative of 20 + 2*z**5 + 0*z**2 + 0*z**3 - 5/6*z**6 + 0*z**4 + u*z. Factor w(k).
-5*k**4*(k - 2)
Let h = -63 + 66. Suppose -27 = -2*r + h. Factor r*k + 0*k**2 - 13*k - k**2.
-k*(k - 2)
Factor -2972/5 + 1/5*d**2 + 2971/5*d.
(d - 1)*(d + 2972)/5
Factor 54 - 1/4*j**3 - 7/2*j**2 - 21/4*j.
-(j - 3)*(j + 8)*(j + 9)/4
Solve -186/19*u - 4240/19 - 2/19*u**2 = 0 for u.
-53, -40
Let w(l) be the second derivative of -l**5/30 + 295*l**4/6 - 87025*l**3/3 + 25672375*l**2/3 - 3819*l. Determine m, given that w(m) = 0.
295
Let p = -24 - -42. Suppose -p + 12 = -2*v. Determine l so that -2*l**2 + 3 + l**2 - 6*l + 3*l**v - 2*l**2 + 3*l = 0.
-1, 1
Let z be 1 + -1 - 10/(-5). Suppose 109*d + 54 - 75*d**3 - 80*d**3 + 182*d**3 - 156*d**z + 98*d = 0. Calculate d.
-2/9, 3
Let o be (7 + -6)*(19 + -2). Let s(f) be the second derivative of 7/6*f**3 + 0 + 3/4*f**4 - o*f + 1/30*f**6 + 1/4*f**5 + f**2. Determine u so that s(u) = 0.
-2, -1
Factor -1/3*h**3 - 880/3*h - 576 - 116/3*h**2.
-(h + 4)**2*(h + 108)/3
Let p(r) = -r**3 - 6*r**2 + r + 1. Let x(i) = 17*i**3 - 513*i**2 + 20268*i - 175772. Let o(w) = 12*p(w) + x(w). Factor o(v).
5*(v - 52)**2*(v - 13)
Let o(h) = h**2 + 182*h - 2535. Let q be o(13). Let m(l) be the second derivative of -7/4*l**4 - 23/2*l**3 + q + 30*l - 9*l**2. Factor m(b).
-3*(b + 3)*(7*b + 2)
Suppose 50 - 69 + 12 = h, 0 = -4*d - h - 7. Factor -3/2*w**2 - 3/2*w + d.
-3*w*(w + 1)/2
Let z(h) = 2*h**2 - 21*h + 112. Let g(m) = m**2 - 16*m + 112. Let n(v) = 3*g(v) - 2*z(v). Suppose n(t) = 0. Calculate t.
-14, 8
Find f such that -40/3*f**2 - 85/3*f - 5/3*f**3 - 50/3 = 0.
-5, -2, -1
Let a(u) = 343*u + 689. Let v be a(-2). Let w(g) be the first derivative of -3/20*g**4 - 1/5*g**v + 6/5*g**2 + 12/5*g - 7. Factor w(i).
-3*(i - 2)*(i + 1)*(i + 2)/5
Factor 36787*u - u**2 - 88 + 88 - 36355*u.
-u*(u - 432)
Let u be ((-6)/(-33))/(-5 + 224/44). Let s(j) be the second derivative of 35/24*j**4 - 24*j - 55/12*j**3 + 25/4*j**u + 0 - 1/8*j**5. Factor s(v).
-5*(v - 5)*(v - 1)**2/2
Determine q, given that -9*q**2 + 16 + 6*q - 1969*q**3 - 1974*q**3 + 3944*q**3 = 0.
-1, 2, 8
Let a = 287 - 217. Factor 24 - 3*s**4 + 18*s**3 + 5*s**4 + 29*s**2 + a*s + 37*s**2 - 4*s**4.
-2*(s - 12)*(s + 1)**3
Factor -781/4*g**2 + 351*g + 27/2*g**3 - 169 - 1/4*g**4.
-(g - 26)**2*(g - 1)**2/4
Let j(x) be the first derivative of 8/3*x**2 + 64/3*x + 1/9*x**3 - 38. What is a in j(a) = 0?
-8
Suppose 2012*i = 2223*i - 633. Factor -12 + 8*c**i - 191/2*c - 188*c**2.
(c - 24)*(4*c + 1)**2/2
Let o(b) be the first derivative of 4*b**3/39 + 7*b**2/13 + 6*b/13 - 1452. Let o(d) = 0. Calculate d.
-3, -1/2
Factor -71*m**3 + 809*m + 303*m**2 + 0*m**4 + 2*m**3 + 438 - 6*m**4 + 8*m**4 - 3*m**4.
-(m - 6)*(m + 1)**2*(m + 73)
Let q(w) = 8*w**3 + 6*w**2 - 2. Let j(f) = -24*f**2 + 10*f + f**4 - 33*f**3 - 18*f + 3*f + 6*f + 9. Let p(i) = -2*j(i) - 9*q(i). Let p(v) = 0. Calculate v.
-1, 0
Let z(j) be the third derivative of j**8/3696 + 8*j**7/385 + 133*j**6/264 + 1079*j**5/330 + 19*j**4/2 + 44*j**3/3 - 2136*j**2. What is y in z(y) = 0?
-22, -2, -1
Let x(a) = 4*a**2 + 15*a - 12. Suppose -1778 = -8*p - 1818. Let b be x(p). Factor 4 - 7/2*o**2 + b*o.
-(o - 4)*(7*o + 2)/2
Let n(y) be the second derivative of 0*y**6 + 0 + 0*y**2 + 1/189*y**7 - 1/45*y**5 + 0*y**4 + 1/27*y**3 - 8*y. Solve n(i) = 0 for i.
-1, 0, 1
Let x be (60/(-210))/(1 + 12/(-7))*10. Let m(k) be the second derivative of -4*k - 1/3*k**x + 1/2*k**3 + 1/2*k**2 + 0. Find g such that m(g) = 0.
-1/4, 1
Let l = -385 + 424. Factor -3*x**3 + 4*x**5 + 5*x**4 + 15*x**4 - l*x**4 + 7*x**3 + 11*x**4.
4*x**3*(x - 1)**2
Let v(l) be the first derivative of -3*l**5/20 - 2*l**4 + 6*l**3 + 216*l**2 - 107*l + 84. Let p(k) be the first derivative of v(k). Solve p(g) = 0.
-6, 4
Let i be (49/(-28))/(3129/(-1192)). Determine m, given that -2 + 4/3*m - 4/3*m**3 - i*m**4 + 8/3*m**2 = 0.
-3, -1, 1
Let x(s) be the first derivative of 76 + 0*s**2 + 0*s + 4/3*s**3 + 7/2*s**4 + 6/5*s**5. Determine r so that x(r) = 0.
-2, -1/3, 0
Suppose 0 = -24*c + 117 + 195. Find b, given that 4*b**3 - c*b**4 - 5*b**5 - 8*b**2 + 16*b**3 + 6*b**3 = 0.
-4, 0, 2/5, 1
Let f = 497 + -517. Let g be (5 - 56/10)*f/18. Factor g*p**4 - 4/3*p**2 + 0*p + 2/3*p**3 + 0.
2*p**2*(p - 1)*(p + 2)/3
Let d(r) = -30*r - 5*r + 36*r + 4 - r**2 - 5. Let h(q) = -18*q**2 - 34*q - 10. Let z(k) = k**2 + 1. Let i be z(1). Let w(p) = i*d(p) + h(p). Factor w(s).
-4*(s + 1)*(5*s + 3)
Let s(v) be the third derivative of -v**9/141120 + v**7/3920 + v**6/840 - v**5/20 - v**4/8 + 4*v**2 - 1. Let a(x) be the third derivative of s(x). Factor a(q).
-3*(q - 2)*(q + 1)**2/7
Let t(h) be the second derivative of 0*h**2 - 1/15*h**5 + 2*h + 1/9*h**4 + 4/9*h**3 + 36. Suppose t(o) = 0. Calculate o.
-1, 0, 2
Find o such that 630*o + 575*o**2 - 1748*o**2 + 587*o**2 + 583*o**2 + 633 = 0.
-1, 211
Suppose -3*j = 21*j + 50 - 110 - 36. Let o = 351/5 - 70. Solve -2/5*p**3 + 1/5 + 1/5*p**5 - 2/5*p**2 + o*p**j + 1/5*p = 0.
-1, 1
Let z = 259 - 255. Suppose -42*l + 40*l + z*f = 16, 3*l + 5*f = 20. Suppose l*k + 0 - 15/2*k**2 + 3/2*k**3 = 0. What is k?
0, 5
Let g(y) = -6*y**4 + 810*y**3 - 2389*y**2 + 2382*y - 787. Let o(w) = 3*w**4 - 405*w**3 + 1195*w**2 - 1191*w + 394. Let z(j) = -2*g(j) - 5*o(j). Factor z(f).
-3*(f - 132)*(f - 1)**3
Let l(g) = 39*g**2 - 8*g + 5. Let m be l(2). Factor 204*f - 265*f + 4*f**3 + 48*f**2 + 40 + m*f.
4*(f + 1)**2*(f + 10)
Let l(c) = c**3 - 60*c + 1 - 7 + 60*c - 9*c**2. Let o(b) = -b**3 + 8*b**2 + 5. Let y(t) = 5*l(t) + 6*o(t). Factor y(r).
-r**2*(r - 3)
Suppose -312 = b - 330. Let x be -2 + (3/b)/(4/111). Suppose -3*s**2 - x*s**5 - 3/2*s - 3/4*s**4 + 0 + 63/8*s**3 = 0. What is s?
-2, -2/7, 0, 1
Let y = 17909 + -17909. Factor 1/4*o**2 - 1/2*o + y.
o*(o - 2)/4
Let w(g) be the first derivative of -6*g**4/7 - 26*g**3/21 + 176. Factor w(j).
-2*j**2*(12*j + 13)/7
Let s(x) be the first derivative of 9*x**6/50 - 57*x**5/50 + 11*x**4/5 - 4*x**3/5 - 235*x - 215. Let h(d) be the first derivative of s(d). Solve h(w) = 0.
0, 2/9, 2
Let z(m) be the second derivative of 10*m + 0 - 1/28*m**4 + 5*m**2 + 1/210*m**5 + 0*m**3. Let r(k) be the first derivative of z(k). Factor r(o).
2*o*(o - 3)/7
Let s(z) = -z + 14. Let a be s(-7). Let v = -16 + a. Factor 5*t**2 - t + 2*t - 5*t**4 + 0*t**2 - v*t**3 + 4*t.
-5*t*(t - 1)*(t + 1)**2
Let c(b) = -25*b**2 + 118*b. Let q(n) =