e -502046*u + 501996*u + 200 = 0. Factor -1/2*r**4 - 1/2*r**3 + 2*r + 3*r**2 - u.
-(r - 2)*(r - 1)*(r + 2)**2/2
Let n = 2/7133 - -7129/14266. Factor -19/4*b**2 + n + 17/4*b.
-(b - 1)*(19*b + 2)/4
Suppose 21*l = -24*l + 2*l. Let i(g) be the first derivative of 0*g**3 + l*g**2 + 30 - 21/25*g**5 + 0*g - 9/10*g**6 + 3/10*g**4. Suppose i(j) = 0. What is j?
-1, 0, 2/9
What is u in -2/9*u**3 + 18 + 2/3*u**2 + 10*u = 0?
-3, 9
Suppose 0*r + 2*s = r - 10, 3*r = s + 30. Suppose t - 5*a = r, -5 + 95 = 3*t - 3*a. Determine m, given that 27*m + t*m - 2*m**2 + m**2 - 60*m = 0.
0, 2
Solve 2884*v - 652 - 4*v**3 - 8313896*v**2 + 8317952*v**2 + 4716 + 5240*v = 0 for v.
-1, 1016
Let n = -336/1685 - -56272/11795. Factor -2/7*v**3 - 2/7*v**2 + 32/7*v + n.
-2*(v - 4)*(v + 1)*(v + 4)/7
Let q(h) be the second derivative of 2*h**7/21 - 76*h**6/15 + 60*h**5 + 1138*h**4/3 + 2438*h**3/3 + 840*h**2 + 2*h + 6565. Let q(j) = 0. What is j?
-1, 20, 21
Let c(v) be the second derivative of v**5/90 - v**4/4 + 8*v**3/9 - 24*v**2 + v - 14. Let b(r) be the first derivative of c(r). Suppose b(g) = 0. Calculate g.
1, 8
Let o(n) be the third derivative of n**5/20 - 3*n**4/8 - 14*n**3 + 2487*n**2. Solve o(l) = 0 for l.
-4, 7
Let k(f) be the first derivative of -2*f**3/39 - 98*f**2/13 - 930*f/13 + 6110. Factor k(u).
-2*(u + 5)*(u + 93)/13
Let j = -1/3220 + 407/14490. Let a(o) be the second derivative of j*o**4 + 2/3*o**2 + 0 + 5/18*o**3 + 6*o. Factor a(v).
(v + 1)*(v + 4)/3
Let y be 39/180*-4 - (-2)/(-15). Let s be ((-9)/6)/(14/28)*y. Factor 0*a + 1/3*a**2 + 1/3*a**4 + 0 + 2/3*a**s.
a**2*(a + 1)**2/3
Let z(d) be the third derivative of d**6/60 - d**5/10 - 10*d**4/3 - 3*d**2 + 239*d. Factor z(x).
2*x*(x - 8)*(x + 5)
Let t(p) be the second derivative of -25*p**6/8 + 653*p**5/8 - 2645*p**4/48 + 85*p**3/12 - 2902*p. Find v such that t(v) = 0.
0, 2/25, 1/3, 17
Let c(g) = 11*g + 87. Let h be c(21). Solve 48*w + 12*w**3 - h*w**2 + w**4 - 10*w**4 + 402*w**2 = 0.
-2, -2/3, 0, 4
Let c(w) be the first derivative of 1/15*w**6 + 0*w + 1/3*w**3 + 15/2*w**2 + 4 - 1/30*w**5 - 1/3*w**4. Let l(s) be the second derivative of c(s). Factor l(b).
2*(b - 1)*(b + 1)*(4*b - 1)
Let y(a) be the second derivative of -a**7/840 - a**6/40 + 13*a**5/240 - 87*a**2/2 + 52*a. Let m(s) be the first derivative of y(s). Factor m(c).
-c**2*(c - 1)*(c + 13)/4
Let a(m) = 65*m**2 - 9490*m - 112935. Let z(w) = -5*w**2 + 730*w + 8686. Let l(p) = -3*a(p) - 40*z(p). What is v in l(v) = 0?
-11, 157
Suppose 0*v = -14*v + 238. Suppose v*j = 23*j. Factor -2*y**2 - 6*y + 10/3*y**3 - 2/3*y**4 + j.
-2*y*(y - 3)**2*(y + 1)/3
Let o(f) be the first derivative of -7*f**4 - 232*f**3/3 + 878*f**2 + 520*f - 1759. Find w, given that o(w) = 0.
-13, -2/7, 5
Let f(s) be the second derivative of -3/32*s**4 - 4 + 1/48*s**3 + 9/16*s**2 + 2*s - 1/160*s**5. Factor f(p).
-(p - 1)*(p + 1)*(p + 9)/8
Let b(l) = -3*l**5 + 32*l**4 - 57*l**3 - 216*l**2 + 736*l - 390. Let f(i) = -i**4 + i**3 + 2. Let m be (6/4)/(2*(-4)/16). Let x(q) = m*f(q) - b(q). Factor x(w).
(w - 4)**3*(w + 3)*(3*w - 2)
Let v be 132/8*20/(-50) + 6 + 3. Factor -4*l**3 - v*l - 24/5*l**2 - 2/5 - 6/5*l**4.
-2*(l + 1)**3*(3*l + 1)/5
Let g(n) be the third derivative of -n**8/2016 - n**7/105 + n**6/12 - 8*n**5/45 - 1587*n**2. Factor g(v).
-v**2*(v - 2)**2*(v + 16)/6
Suppose -6*h - 17 = -8*i - 4*h + 15, -4*i = 3*h. Factor 3/4*s**2 - 1/4*s**3 + s - i.
-(s - 3)*(s - 2)*(s + 2)/4
Let f be 0/2 + (9 - 8). Let x be -1 + 3825/36 - f/4. Factor -105*o + x*o + 3*o**2.
3*o**2
Find s such that -46/11*s**2 + 456/11 - 2/11*s**3 - 128/11*s = 0.
-19, -6, 2
Suppose 37*f = 38*f - 3. Factor 1988*l + 6*l**5 - 7*l**4 - 5*l**3 - f*l**2 + 10*l**2 - 1989*l.
l*(l - 1)**2*(l + 1)*(6*l - 1)
Factor -142/3*x**3 + 189*x**2 - 1 - 422/3*x.
-(x - 3)*(x - 1)*(142*x + 1)/3
Let b(m) be the first derivative of -85 - 21/20*m**5 + 45/16*m**4 - 9/4*m**3 + 0*m**2 + 0*m + 1/8*m**6. What is c in b(c) = 0?
0, 1, 3
Let k(a) = -3698*a**2 - 6870*a - 3195. Let j(p) = -5547*p**2 - 10306*p - 4793. Let b(d) = 5*j(d) - 7*k(d). What is y in b(y) = 0?
-40/43
Let a(k) = 2*k + 14. Let x be a(-6). Let o(h) = -h + 1. Let i(l) = 2*l**2 - 50*l + 336. Let t(f) = x*o(f) + i(f). Factor t(n).
2*(n - 13)**2
Let x = -798089/3 + 266030. Factor 50/3 + 9*c + x*c**2.
(c + 2)*(c + 25)/3
Suppose 56*r - 2502 - 266 = -68*r - 288. Factor -r - 56/3*i + 4/3*i**2.
4*(i - 15)*(i + 1)/3
Let u(s) be the second derivative of -1 + 0*s**3 + 5*s + 1/12*s**4 - 2*s**2. Find i, given that u(i) = 0.
-2, 2
Let r(l) be the third derivative of l**5/60 - 239*l**4/24 - 162*l**3 - 5*l**2 + 265*l. Find a, given that r(a) = 0.
-4, 243
Suppose 0 = -2*b + 5*m - 21, 28 = 4*b + 4*m. Let -z**5 + 3*z**2 + 806*z**3 - 2*z**5 + 2*z**2 + 9*z**4 - 815*z**3 - 2*z**b = 0. What is z?
0, 1
Find i such that 624/5*i + 2/5*i**3 - 2016/5 - 62/5*i**2 = 0.
7, 12
Find a, given that 2/3*a**4 - 2*a**2 - 4/3*a**3 + 16/3*a - 8/3 = 0.
-2, 1, 2
Let a = 732240/13 + -56326. Suppose -a*q**4 + 10/13*q**2 + 8/13*q**3 + 0 + 0*q = 0. What is q?
-1, 0, 5
Factor 134*a**3 - 255 - 17*a**4 - 253 - 260 + 768 - 24*a - 188*a**2.
-a*(a - 6)*(a - 2)*(17*a + 2)
Let q = -54 - -57. Let m be q/(((-2)/(-20))/(1/6)). Factor -3*a**5 - a**m + 0*a**5 - 5*a**4 + a**4.
-4*a**4*(a + 1)
Let d(q) be the first derivative of 3*q**4/20 + 276*q**3/5 - 333*q**2/2 + 834*q/5 + 1370. Determine p so that d(p) = 0.
-278, 1
Let x(a) be the first derivative of a**6/1980 - a**5/165 + a**4/44 - 14*a**3 - 21. Let u(i) be the third derivative of x(i). Factor u(y).
2*(y - 3)*(y - 1)/11
Let t(u) = 5*u**2 - 10*u + 3. Let b(c) = -53 + 21*c + 20 - 11*c**2 + 14 + 12. Let f(g) = 6*b(g) + 13*t(g). Factor f(i).
-(i + 1)*(i + 3)
Let -120*z**2 + 23*z + 25*z**3 + 160 + 884*z**4 - 3*z + 885*z**4 - 2641*z**4 + 877*z**4 = 0. What is z?
-8, -1, 2
Let j(m) be the first derivative of 276 - 1/10*m**4 + 4/3*m**3 - 32/5*m**2 + 64/5*m. What is q in j(q) = 0?
2, 4
Suppose 147*t = 150*t - 2*c - 189, 2*c - 168 = -4*t. Factor 867 + 3/4*d**2 - t*d.
3*(d - 34)**2/4
Factor -255*c**3 + 430*c**2 + 33*c**4 + 120 - 410*c + 5*c**5 + 75*c**2 + 2*c**4.
5*(c - 2)*(c - 1)**3*(c + 12)
Let o(w) be the third derivative of -w**6/80 - w**5/2 + w**4/16 + 5*w**3 + 1211*w**2. Factor o(p).
-3*(p - 1)*(p + 1)*(p + 20)/2
Let f(l) be the first derivative of -l**6/90 + 11*l**5/15 + 2*l**3 + 3*l - 51. Let h(v) be the third derivative of f(v). Solve h(t) = 0.
0, 22
Let u be (9644/4400 - 6/33) + (58 - 60). Let o(k) be the second derivative of 40*k - 1/10*k**4 - 2/5*k**2 - u*k**5 + 0 - 3/10*k**3. Factor o(y).
-(y + 1)**2*(y + 4)/5
Suppose 4*q**3 + 16*q + 13*q - 208 - 877*q**2 + 67*q + 985*q**2 = 0. Calculate q.
-26, -2, 1
Let v(x) be the third derivative of x**5/100 + 251*x**4/10 + 126002*x**3/5 - 1507*x**2. Find h, given that v(h) = 0.
-502
Let x(i) be the second derivative of -i**4/54 + 58*i**3/27 + 35*i**2 + 698*i - 3. Let x(n) = 0. Calculate n.
-5, 63
Let c(y) be the first derivative of -y**3/3 - 342*y**2 - 116964*y + 144. Suppose c(z) = 0. What is z?
-342
Determine g, given that 36388 + 1398*g + 341756 + 2295*g**2 + 110457 - 2294*g**2 = 0.
-699
Let r(q) be the third derivative of -q**7/735 - 89*q**6/630 - 17*q**5/210 + 13*q**4/7 - 236*q**3/63 - 2*q**2 - 1730. Solve r(b) = 0.
-59, -2, 2/3, 1
Let s be (24/28)/(3*(-18)/(-189)). Let 341*t**4 + 6*t**2 + 3*t**2 + 0*t**s - 344*t**4 + 0*t**3 + 6*t = 0. Calculate t.
-1, 0, 2
Let m(y) be the second derivative of -2/45*y**6 + 0 + 170*y - 4/15*y**5 + 0*y**2 + 5/9*y**4 + 0*y**3. Let m(d) = 0. Calculate d.
-5, 0, 1
Suppose -26*v = -11*v - 330. Suppose -3*u = 28 - v, 5*u = 4*k - 18. Let 7/5*h - 1/5*h**2 - k = 0. What is h?
2, 5
Determine k, given that -2/9*k**2 - 943938 + 916*k = 0.
2061
Let i(z) be the second derivative of -5/8*z**4 + 0 - 5*z + 7/80*z**5 + 1/120*z**6 + 5*z**2 + 1/6*z**3. Factor i(b).
(b - 2)**2*(b + 1)*(b + 10)/4
Let p(w) be the first derivative of 12/13*w**2 + 2/39*w**3 + 97 + 0*w. Let p(n) = 0. Calculate n.
-12, 0
Let d(b) = -b**3 + 23*b**2 - 30*b + 693. Let p be d(23). Let k(t) be the second derivative of -t**p + 0 + 1/6*t**4 + 0*t**2 - 10*t. Factor k(w).
2*w*(w - 3)
Let m(r) = -2*r**3 + 9*r**2 - 4*r + 2. Suppose 4*b + 76 = 92. Let i be m(b). Factor -4*q - 2/3*q**i - 6.
-2*(q + 3)**2/3
Let m be (17 - (-1088)/(-72)) + (-55)/33. Suppose -2*j**2 - 22/9*j - m*j