.
5*(n - 2)*(13*n + 30)**2
Let n be 1/((-3)/(-6))*50. Let j = n - 95. Factor 6*z**3 - 5*z**5 - z**j - 3*z + 3*z**5.
-3*z*(z - 1)**2*(z + 1)**2
Let z = 345 - 342. Suppose -z = -v - 4*d + 2*d, -3*v - 2*d = -9. Find g, given that 0 - 9/4*g + 3/4*g**v + 3/2*g**2 = 0.
-3, 0, 1
Let p(h) be the first derivative of -3*h**5/80 + 11*h**4/12 + 5*h**3/8 - 33*h + 120. Let o(n) be the first derivative of p(n). Let o(r) = 0. What is r?
-1/3, 0, 15
Solve 111*l**2 - 190 + l**3 - 147*l**2 + 454 + 334*l + 107*l**2 = 0.
-66, -4, -1
Factor 574/19 - 96/19*n + 2/19*n**2.
2*(n - 41)*(n - 7)/19
Let n(z) = 28*z**2 + 20*z - 136. Let g = -393 - -401. Let v(q) = -10*q**2 - 7*q + 45. Let r(l) = g*v(l) + 3*n(l). Suppose r(t) = 0. Calculate t.
-4, 3
Factor 3/2*b**3 + b**2 - 1/2*b**5 + 0*b + 0 + 0*b**4.
-b**2*(b - 2)*(b + 1)**2/2
Suppose -29 = -t + 1. Let z = 53 - t. Suppose 0*h**2 - h**2 - 4*h**2 - 3*h + z*h - 20 = 0. Calculate h.
2
Let w(x) be the second derivative of 12*x**2 + 114*x + 0 + 5/9*x**3 - 1/18*x**4. Factor w(b).
-2*(b - 9)*(b + 4)/3
Suppose -28*g - 89 = -509. Suppose -1 + 1 = g*q. Factor -1/3*m**3 + m**2 - 2/3*m + q.
-m*(m - 2)*(m - 1)/3
Let -26*p**3 - 24/5*p**2 + 0*p + 0 - 49/5*p**4 + p**5 = 0. What is p?
-2, -1/5, 0, 12
Let a = -86906381 + 110892553943/1276. Let u = a + 4/319. Suppose -1/4*r**4 - 9 - 5/2*r**3 - u*r**2 - 15*r = 0. What is r?
-3, -2
Let r = -105512 + 1160646/11. Solve r*d**2 - 32/11 + 2/11*d**3 + 16/11*d = 0 for d.
-4, 1
Let p = -1487721 - -25291259/17. Factor -p*g**4 - 74088/17*g - 168/17*g**3 - 388962/17 - 5292/17*g**2.
-2*(g + 21)**4/17
Factor -3/7*m**3 + 783/7 + 1563/7*m + 111*m**2.
-3*(m - 261)*(m + 1)**2/7
Let z(k) be the second derivative of -k**5/110 + 2*k**4/33 + 5*k**3/33 + 2984*k. Factor z(d).
-2*d*(d - 5)*(d + 1)/11
Let g(s) be the second derivative of s**6/180 - s**5/20 - 31*s**4/6 - 410*s**3/9 + 400*s**2 - 572*s. Factor g(z).
(z - 24)*(z - 2)*(z + 10)**2/6
Let w = 787/2514 - -17/838. Let -11/3*r**3 - w*r**5 + 4*r + 2/3*r**2 - 8/3 + 2*r**4 = 0. What is r?
-1, 1, 2
Suppose 70*j + 323*j = 1326 - 147. Factor 20/3*c**2 + 0 - 8/3*c - 1/6*c**5 + 5/3*c**4 - 11/2*c**j.
-c*(c - 4)**2*(c - 1)**2/6
Let u = -552 - -632. Suppose 98*v = u*v + 72. Find j, given that 0 + 0*j**v + 0*j**2 - 1/7*j**5 + 2/7*j**3 - 1/7*j = 0.
-1, 0, 1
Suppose 39 = 4*c + 7. Suppose -5*p + 27 = -c. Factor -2*d**2 + p*d**2 + 6 + 63*d + 714 + 57*d.
5*(d + 12)**2
Let x = -93/425 - -5167/8075. Determine b, given that -x*b**3 - 84/19*b - 18/19 - 50/19*b**2 = 0.
-3, -1/4
Let n = -15909/8 - -1989. Let s(r) be the second derivative of -1/80*r**6 + 0 - 9/80*r**5 - n*r**4 - 9/16*r**2 - 8*r - 5/8*r**3. Factor s(y).
-3*(y + 1)**3*(y + 3)/8
Let q(j) be the second derivative of -j**7/1260 - j**6/10 - 27*j**5/5 + 7*j**4/12 - 2*j**2 - 55*j. Let g(o) be the third derivative of q(o). Factor g(n).
-2*(n + 18)**2
Let k(w) be the first derivative of 95/2*w + 35/16*w**4 - 485/8*w**2 + 187 - 160/3*w**3. Factor k(s).
5*(s - 19)*(s + 1)*(7*s - 2)/4
Let b(d) be the third derivative of 0*d - 3/4*d**4 + 99*d**2 - 1/20*d**5 - 9/2*d**3 + 0. Factor b(o).
-3*(o + 3)**2
Let n = 90/29 + -151/58. Let h(a) be the third derivative of -n*a**4 + a**2 - 3*a**3 + 0*a + 0 - 1/30*a**5. Factor h(m).
-2*(m + 3)**2
Let g(l) be the second derivative of l**7/231 + l**6/165 - l**5/10 + 7*l**4/66 + 10*l**3/33 - 8*l**2/11 + 2*l + 854. Let g(p) = 0. Calculate p.
-4, -1, 1, 2
Let x(m) be the third derivative of m**8/672 + 4*m**7/105 + 29*m**6/240 + 7*m**5/60 - 6*m**2 - m. Solve x(b) = 0.
-14, -1, 0
Let y(q) be the second derivative of -q**6/300 - 2*q**5/75 - q**4/12 - 2*q**3/15 + 5*q**2/2 + 8*q + 2. Let b(h) be the first derivative of y(h). Factor b(l).
-2*(l + 1)**2*(l + 2)/5
Let x(z) be the first derivative of -z**3/12 - 61*z**2/2 - 3721*z + 3252. Factor x(o).
-(o + 122)**2/4
Let g be 9/(-18)*(-1 + 1) - -4. Factor -g + 4*s + s - 4*s - s**2 + 5 - s**3.
-(s - 1)*(s + 1)**2
Let w = 47577001079/2045 - 23265036. Let z = -1/409 + w. Find q, given that z*q - 4/5 - 2/5*q**2 = 0.
1, 2
Let m(p) be the first derivative of p**6/14 - 39*p**5/35 + 87*p**4/14 - 88*p**3/7 - 48*p**2/7 + 384*p/7 + 384. Factor m(t).
3*(t - 4)**3*(t - 2)*(t + 1)/7
Let h be ((-30)/(-2))/((-3)/(30/(-50))). Let x(g) be the first derivative of -22 + 4/3*g**h + 6*g**2 + 0*g. Factor x(a).
4*a*(a + 3)
Let t(n) = 1. Let z(c) = 11*c**2 - 364*c + 29. Let g(a) = 4*t(a) + z(a). Let g(f) = 0. Calculate f.
1/11, 33
Let u = -57 - -61. Suppose -10*t**4 + 7*t + 70*t**3 + 5*t**5 - 80*t**2 - 10 + 38*t - 15*t**4 - 5*t**u = 0. What is t?
1, 2
Let z be (-783)/58*(-41 + -1 + 2). Suppose -537*s + z*s - 15 = 0. Determine t, given that 20/3*t**3 + 55/3*t**2 - s*t + 0 = 0.
-3, 0, 1/4
Let b(f) be the second derivative of -4*f**7/189 - 28*f**6/135 - f**5/6 + 55*f**4/54 + 4*f**3/27 - 4*f**2/3 - 4*f - 77. Let b(c) = 0. Calculate c.
-6, -2, -1/2, 1/2, 1
Let d be (-1)/((-5)/(-20)*(2 + -6)). Let r be 182/(-13) + 9 + d*8. Suppose -5/2*k**5 + 7/2*k**4 + 0*k + 0 - k**r + 0*k**2 = 0. What is k?
0, 2/5, 1
Suppose 3*i = -2*n + 12, -2*i = -i - n - 4. Suppose 2*h - 59 + 53 = 0. Find j such that -20*j**2 - 10 - 19*j**h - 61*j**3 - 35*j**i + 10 = 0.
-2, -2/7, 0
Let z(d) be the second derivative of 19*d**3 - 1/10*d**5 + 29*d**2 + 9/2*d**4 + 2 - 57*d. Let z(t) = 0. What is t?
-1, 29
Suppose 0 = -0*p - 4*p + 208. Suppose 0 = 11*w - 434 - 138. Factor -16 - 8*j**3 + w*j**2 - p*j - 92*j**2 - 4*j**2.
-4*(j + 1)*(j + 4)*(2*j + 1)
Suppose 354 = -1045*f + 1222*f. Factor 10/3 + 32/9*h + 2/9*h**f.
2*(h + 1)*(h + 15)/9
Let r(z) be the first derivative of 3*z**4/28 + 115*z**3/7 + 1149*z**2/7 + 3240*z/7 + 2821. Find i such that r(i) = 0.
-108, -5, -2
Factor 2/9*i**2 - 68/9*i + 42.
2*(i - 27)*(i - 7)/9
Let w(m) be the first derivative of -1/2*m**2 - 1/3*m**3 + 2*m + 134. Determine g so that w(g) = 0.
-2, 1
Suppose -27 = -2*r - r. Let h(n) = 9*n - 21 + 0*n - 2*n + r*n**2. Let y(v) = 28*v**2 + 20*v - 64. Let i(x) = 16*h(x) - 5*y(x). Factor i(t).
4*(t - 1)*(t + 4)
Let b be (-239)/(-717) + 18/(-135). Solve -27/5 - 29/5*g**2 - b*g**3 - 11*g = 0.
-27, -1
Let i(m) be the third derivative of 47*m**2 + 0 + 22/105*m**5 + 6/7*m**3 - 1/60*m**6 + 0*m - 25/28*m**4. Factor i(d).
-2*(d - 3)**2*(7*d - 2)/7
Let g = -737 - -737. Suppose g = s - 1, -4*u - 5*s + 18 = 5. Factor -27/5*y + 0 + 3/5*y**u.
3*y*(y - 9)/5
Suppose 0 = -365*t + 423*t - 116. Solve 1/5*p + 0 + 0*p**t - 1/5*p**3 = 0 for p.
-1, 0, 1
Let i(m) be the third derivative of -3/40*m**6 - 169/16*m**3 - 1/560*m**7 + 207*m**2 - 59/80*m**5 + 39/8*m**4 + 0*m + 0. Factor i(h).
-3*(h - 1)**2*(h + 13)**2/8
Suppose 12268*x**2 + 16298*x**3 - 2*x**5 + 11552 - 18862*x**3 - 2*x**5 - 21432*x + 180*x**4 = 0. Calculate x.
1, 2, 4, 19
Let c(w) be the first derivative of 11/2*w**2 + w**4 - 1/10*w**5 - 4*w + 148 - 7/2*w**3. Factor c(p).
-(p - 4)*(p - 2)*(p - 1)**2/2
Let b(r) = -r**2 - 6*r + 1. Let k be b(-6). Let n be ((-18)/5)/(k/(-5)). Factor 4*f**2 - 6*f + 10*f - 2*f**2 - n*f.
2*f*(f - 7)
Suppose 4 = 3*q + 1. Let t(h) = 10*h**2 - 5*h + 5. Let d be t(q). What is p in -4*p**2 + d*p + 8*p + 2*p = 0?
0, 5
Factor 2/11*r**3 + 112/11*r**2 + 706/11*r + 980/11.
2*(r + 2)*(r + 5)*(r + 49)/11
Let g = 436 - 415. Determine l, given that -14*l**5 - 25*l - 8 - 17*l + 46*l**2 + 79*l - 2*l**3 - 38*l**4 - g*l = 0.
-2, -1, 2/7, 1
Let i(s) be the second derivative of -3/10*s**4 + 8/15*s**3 + 0*s**2 + 10*s + 5. What is h in i(h) = 0?
0, 8/9
Let q = -724 + 736. Let x(s) = -13*s + 156. Let z be x(q). Let 0 + 6*m + 3/2*m**5 + 0*m**4 + z*m**2 - 15/2*m**3 = 0. Calculate m.
-2, -1, 0, 1, 2
Let w = 32977 + -32973. Factor w*d**2 + 4/9*d**5 - 20/9*d**4 + 0*d + 0 + 4/3*d**3.
4*d**2*(d - 3)**2*(d + 1)/9
Factor -466/5*o**3 + 232/5*o**2 + 236/5*o**4 - 2/5*o**5 + 0*o + 0.
-2*o**2*(o - 116)*(o - 1)**2/5
Let a = 3716438/3 + -1238804. Factor -38/3*v + 4/3 - 82/3*v**3 + a*v**4 + 30*v**2.
2*(v - 1)**3*(13*v - 2)/3
Let d(z) = -7*z**3 - 12*z**2 - 15*z - 5. Let x be d(-4). Let -3*u**3 + 4*u - 6*u + x*u**4 + 2*u - 310*u**4 = 0. Calculate u.
0, 3
Let b be (2 + -3)/(-3) + (-26)/(-3). Suppose -2*w = -3*r + 1284, -2*w - w - b = 0. What is v in -r*v**4 + 216*v**4 + 5*v**3 + 215*v**4 - 5*v - 5*v**2 = 0?
-1, 0, 1
Let n = 367 + -365. Factor 1670*j**3 - 25*j**n - 836*j**3 - 829*j**3.
5*j**2*(j - 5)
Let j(x) be the first derivative of x**