 + 4*g**2 + 6*g**3 - 5*g**2 + 2*g**4 - 3*g**2 + 6*g**t = 0.
-2, -1, 0
Let v be (18/(-12))/(7/(-70)). Factor -43*r + 60 + v*r - 36*r**3 - 20*r + 39*r**3 + 3*r**2.
3*(r - 2)**2*(r + 5)
Let u(h) be the first derivative of -11*h**2 + 2/3*h**3 - 26 + 36*h. Find y, given that u(y) = 0.
2, 9
Factor 2/5*t**2 - 472/5*t + 936/5.
2*(t - 234)*(t - 2)/5
Factor 12*h - 217/2 + 1/2*h**2.
(h - 7)*(h + 31)/2
Let y(w) = w**2 - 107*w + 974. Let f be y(10). Let t(x) be the first derivative of -8 + 6/5*x**2 - 12/5*x**3 + 0*x + 33/20*x**f - 9/25*x**5. Solve t(m) = 0.
0, 2/3, 1, 2
Suppose 16*n = 20*n - 12. Let -4*v**4 + 49*v**3 - 128*v**n - 24*v**2 + 59*v**3 = 0. What is v?
-3, -2, 0
Factor 0 - 268/7*m**2 + 10/7*m**4 + 0*m + 666/7*m**3.
2*m**2*(m + 67)*(5*m - 2)/7
Let t = 4069 - 12205/3. Let g(w) be the first derivative of -8/3*w**2 - 32 - t*w**3 + 2*w. What is v in g(v) = 0?
-3, 1/3
Suppose 4*j - 8 = -z + 5, -3*z = -2*j + 17. Let k(r) be the first derivative of -4/35*r**5 - 4/7*r**3 + 3/7*r**j + 0*r + 2/7*r**2 - 2. Factor k(w).
-4*w*(w - 1)**3/7
Let d(c) be the third derivative of c**8/2240 - c**7/210 + c**4/12 - 5*c**3/6 + c**2. Let o(a) be the second derivative of d(a). Suppose o(b) = 0. What is b?
0, 4
Let y be 2/22 - (9 + (-13886)/1166). What is d in -6/5*d**y + 28/5*d**2 - 8/5*d**4 + 0 + 2/5*d**5 - 16/5*d = 0?
-2, 0, 1, 4
Find h such that 2762/7*h - 1/7*h**2 - 1907161/7 = 0.
1381
Let f(q) be the first derivative of 3*q**4/32 - 13*q**3/8 - 3*q**2/16 + 39*q/8 + 6110. Factor f(y).
3*(y - 13)*(y - 1)*(y + 1)/8
Let w(b) be the first derivative of -3*b**4/4 + 308*b**3/3 + 103*b**2/2 + 8365. Determine q so that w(q) = 0.
-1/3, 0, 103
Let w(y) be the third derivative of 1/840*y**7 + 0*y - 1/8*y**4 - 3/2*y**3 + 0 + 1/40*y**6 + 7/48*y**5 - 17*y**2. Factor w(r).
(r - 1)*(r + 1)*(r + 6)**2/4
Let r(g) = g**2 - 16*g + 65. Let f be r(21). Let a = f + -829/5. Factor 3*b**2 - a*b + 9/5 - 3/5*b**3.
-3*(b - 3)*(b - 1)**2/5
Determine d so that -11*d**3 + 5*d**5 - 18*d**5 + 9*d**5 + 2*d**4 - 98*d - 73*d**2 + 5*d**5 - 40 + 3*d**4 = 0.
-5, -2, -1, 4
Let a(k) be the third derivative of -k**6/30 + 20*k**5/3 - 33*k**4/2 - 2689*k**2. Factor a(l).
-4*l*(l - 99)*(l - 1)
Let f = -24094 - -24096. What is p in 0 + 3/2*p**3 - 30*p + 12*p**f = 0?
-10, 0, 2
Let b(n) be the second derivative of -2/135*n**5 + 0 + 15/2*n**2 - 2/27*n**3 + 1/12*n**4 - 14*n. Let i(q) be the first derivative of b(q). Factor i(u).
-2*(u - 2)*(4*u - 1)/9
Let h(b) = b**4 + 56*b**2 - 84*b + 45. Let c(y) = -2*y**3 - y**2. Let n(u) = -6*c(u) - h(u). Factor n(j).
-(j - 5)*(j - 3)**2*(j - 1)
Let r(q) be the third derivative of -39*q**2 + 0*q + 1 + 0*q**3 - 13/56*q**4 - 1/140*q**5. Find s such that r(s) = 0.
-13, 0
Factor 13222*g**3 + 36 + 8673*g**4 + 1029*g**5 + 450*g + 7853*g**3 + 5799*g**2 + 330*g - 5136*g**3.
3*(g + 2)*(g + 6)*(7*g + 1)**3
Let p = 687 + -708. Let s be 20/15*p/(-14). Solve -s + 2/3*b**2 + 4/3*b = 0 for b.
-3, 1
Let o(t) be the first derivative of 117*t**4/4 - 644*t**3 + 474*t**2 + 192*t - 1368. Let o(p) = 0. What is p?
-2/13, 2/3, 16
Let y(j) be the second derivative of -19*j + 0 + 1/165*j**6 - 1/22*j**4 + 19/33*j**3 + 14/11*j**2 - 7/110*j**5. Suppose y(r) = 0. Calculate r.
-1, 2, 7
Let l(w) be the second derivative of -3 + 4/5*w**2 - 9/10*w**4 - 2*w - 4/5*w**3. Solve l(a) = 0 for a.
-2/3, 2/9
Find n such that -114/5*n**4 + 218/5*n**3 + 0 + 2/5*n**5 + 114/5*n**2 - 44*n = 0.
-1, 0, 1, 2, 55
Factor 405/2 - 31/8*g**2 + 1/8*g**3 + 18*g.
(g - 18)**2*(g + 5)/8
Let r be ((-16)/(-2) - 2)/2. Let k = 353 + -314. Factor -13*q**3 - 9*q - 12*q**4 - 10*q**r - k*q**2 - 25*q**3.
-3*q*(q + 3)*(2*q + 1)**2
Find i such that -15 + 1/4*i**2 + i = 0.
-10, 6
Let v(g) be the first derivative of -g**6/120 - 7*g**5/10 - 31*g**3 - 88. Let b(k) be the third derivative of v(k). Determine t so that b(t) = 0.
-28, 0
Let r(n) be the third derivative of n**5/240 - 85*n**4/12 + 14450*n**3/3 - 71*n**2. Let r(u) = 0. Calculate u.
340
Let x(k) be the second derivative of -3*k - 2/7*k**2 + 5/63*k**3 - 9 - 1/126*k**4. Find p such that x(p) = 0.
2, 3
Let l(d) be the third derivative of -1/15*d**5 - 6*d**3 + 0*d + 0 + d**4 + 59*d**2. Factor l(s).
-4*(s - 3)**2
Suppose -3*s - 80 + 20 = 0. Let v = -16 - s. Factor -24*g**2 + 0*g + 3*g**3 - 18*g**3 - g**v - 2*g**4 - 12*g.
-3*g*(g + 1)*(g + 2)**2
Let i(y) be the second derivative of -y**5/150 - 4*y**4/45 - 19*y**3/45 - 4*y**2/5 - 838*y. Factor i(u).
-2*(u + 1)*(u + 3)*(u + 4)/15
Suppose 52/7 - 314/21*g + 4/21*g**2 = 0. What is g?
1/2, 78
Solve -8*s**2 + 22*s**2 - 4725*s - 8 + 4719*s = 0 for s.
-4/7, 1
Let c(m) be the first derivative of -m**6/360 - m**5/20 + 7*m**4/24 + 47*m**3/3 + 6. Let u(p) be the third derivative of c(p). Find a such that u(a) = 0.
-7, 1
Suppose -q = 2*f - 145 + 486, -3*f = 2*q + 678. Let l = 335 + q. Find t such that 0 - 2*t**l - 2/3*t + 8/3*t**3 = 0.
-1/4, 0, 1
Let p(m) be the third derivative of 0*m + 93*m**2 + 8/21*m**3 + 2/3*m**4 - 3/5*m**6 + 13/105*m**5 + 0 + 54/245*m**7. Factor p(i).
4*(i - 1)**2*(9*i + 2)**2/7
Let y(w) be the third derivative of w**7/420 + w**6/90 - w**5/60 - w**4/6 + 23*w**3 - 35*w**2. Let b(q) be the first derivative of y(q). Solve b(d) = 0 for d.
-2, -1, 1
Let q = 6361/13 - 489. Let f be (0 - -2)*24/336*21. Factor 10/13*s**f + 0 + 22/13*s**2 + q*s.
2*s*(s + 2)*(5*s + 1)/13
Let k be (-30)/12 + 341/110. Let a(v) be the first derivative of 0*v**5 + 4/45*v**3 + 35 - 4/15*v - 6/5*v**4 + 3/5*v**6 + k*v**2. Suppose a(f) = 0. Calculate f.
-1, -2/3, 1/3, 1
Let a be (-377)/(-116) - 2/8. Find y, given that 4*y**4 - 2*y**4 - 611*y**5 + 612*y**5 + y**a = 0.
-1, 0
Suppose 2*i - 196*f + 1288 = -199*f, i - 4*f = -622. Let d = -634 - i. Suppose 2048/3 + 288*z**2 + 2816/3*z + 4/3*z**d + 100/3*z**3 = 0. Calculate z.
-8, -1
Let c(l) be the third derivative of -6*l**3 + 23/8*l**4 + 0 + 194*l**2 + 0*l + 87/20*l**5 + 53/40*l**6 - 3/70*l**7 - 1/28*l**8. Determine x so that c(x) = 0.
-3, -1, 1/4, 4
Suppose -5*r + 40 = -5*d, -r - 14 = 3*d + r. Let j be (7/(-6) + 2/4)*d. Factor 3/11*h**2 + 0*h - 2/11*h**3 + 0 - 1/11*h**j.
-h**2*(h - 1)*(h + 3)/11
Let t be -4 - 518*72/(-99). Let y = t - 372. What is q in -y*q**3 + 14/11*q**2 - 4/11*q - 2/11 = 0?
-1/4, 1
Let h = 22519 - 22481. Let k(f) be the first derivative of 0*f + 1/10*f**2 + h - 1/30*f**3. Solve k(v) = 0.
0, 2
Suppose -2*g + 3*w = 1, 6*w = w + 5. Let r = g + 1. What is o in -3*o**r + 6*o**3 - o**3 - 7*o**2 = 0?
0, 2
Let i(j) be the second derivative of 4/9*j**3 - 7*j**2 - 2/9*j**4 + 1/30*j**5 + 0 + 32*j. Let f(p) be the first derivative of i(p). Factor f(c).
2*(c - 2)*(3*c - 2)/3
Let r(x) be the third derivative of x**8/336 - x**7/40 - 539*x**6/480 + 29*x**5/10 - 35*x**4/24 + 13*x**2 + 6*x. What is l in r(l) = 0?
-10, 0, 1/4, 1, 14
Let s(l) = -3*l + 2. Let i be s(2). Let b be (-18 - -2)/i - 1*4. Determine j so that b*j - 4/9*j**3 + 20/9*j**4 - 16/9*j**5 + 0 + 0*j**2 = 0.
0, 1/4, 1
Let y(f) be the second derivative of f**6/120 + 7*f**5/16 - 19*f**4/24 - 3*f**3 + 10932*f. Suppose y(t) = 0. Calculate t.
-36, -1, 0, 2
Let o be -2*(-8)/10*45/108. Let i be 2/8 - 5/(-12). Factor -2*d**2 + 4/3 + o*d**4 - 2/3*d**3 + i*d.
2*(d - 2)*(d - 1)*(d + 1)**2/3
Suppose 37*t - 18 = 34*t, 4*h + 5*t = 38. Let i(q) be the first derivative of -12/7*q + 3 + 6/7*q**h - 1/7*q**3. Solve i(s) = 0 for s.
2
Let s be (-9)/8*924/(-6237). Factor 13/6*t + 2*t**2 - s*t**3 + 0.
-t*(t - 13)*(t + 1)/6
Let o(n) = 6*n**2 + 28*n - 10. Suppose 0 = d - 1251 + 1256. Let u be o(d). Factor 2/11*m**2 - 14/11*m + u.
2*m*(m - 7)/11
Let d(o) be the third derivative of -o**6/240 - 457*o**5/60 + 1831*o**4/48 - 229*o**3/3 - 969*o**2 + 2. Factor d(m).
-(m - 1)**2*(m + 916)/2
Let z = 1088 + -1085. Let l(p) be the first derivative of -12 - 5*p**2 - 2/3*p**z - 12*p. Factor l(f).
-2*(f + 2)*(f + 3)
Suppose -6*y + 171 = -129. Factor -174*g + 146*g**2 + 261 - 143 - 42*g**3 + 2*g**4 - y.
2*(g - 17)*(g - 2)*(g - 1)**2
Let j(b) be the third derivative of -b**5/30 - 4*b**4 + 49*b**3/3 - 4*b**2 + 6. Find n such that j(n) = 0.
-49, 1
Let c(q) be the first derivative of 80*q**4 + 4720*q**3 + 104430*q**2 + 1026895*q + 9419. Factor c(s).
5*(4*s + 59)**3
Let -105/4 - 1/4*x**3 + 37/4*x**2 - 67/4*x = 0. Calculate x.
-1, 3, 35
Let c(z) = z**3 + z**2 - 2*z + 12. Let j be c(0). Let u be (7 - 3 - (-