- 48*l**2 + 288*l - 595. Factor f(h).
-(h - 24)**2*(h - 4)/8
Let s(d) = -6*d - 110. Let p be s(-19). Suppose -42 = -17*o - p*o. Find n such that 0 - 2/11*n**o + 0*n + 2/11*n**3 = 0.
0, 1
Factor 143*x**2 - 65 - 62819*x**3 + 62820*x**3 - 223 - 146*x.
(x - 2)*(x + 1)*(x + 144)
Let b(s) be the first derivative of -s**5 + 105*s**4/4 - 181. Factor b(y).
-5*y**3*(y - 21)
Let k(g) be the third derivative of 0 + 2/15*g**5 + 0*g + 1/6*g**6 + 2/105*g**7 + 0*g**3 + 134*g**2 - 4/3*g**4. What is i in k(i) = 0?
-4, -2, 0, 1
Let n = -2528999/600 - -4215. Let k(m) be the third derivative of 2/15*m**3 - 13*m**2 + 1/50*m**5 + 0*m + n*m**6 + 0 + 3/40*m**4. Factor k(y).
(y + 1)**2*(y + 4)/5
Suppose -2*d + 934 = -4*y, -451 = -d + y + 18. Let g = d - 468. Determine m so that -m**g + 0 + m - 1/2*m**2 + 1/2*m**4 = 0.
-1, 0, 1, 2
Let q(n) be the second derivative of 1/16*n**4 + 3*n**3 + 247*n + 33/2*n**2 + 0. Suppose q(y) = 0. Calculate y.
-22, -2
Let r(c) = 4*c**2 + 92*c - 366. Let b(v) = 18*v**2 + 462*v - 1828. Let p(n) = -3*b(n) + 14*r(n). Find a, given that p(a) = 0.
4, 45
Let s(t) be the first derivative of -t**3/3 - 3*t**2 - 9*t - 837. Factor s(x).
-(x + 3)**2
Let p(y) = -6*y + 50. Let r be p(7). Let g = -26 + 167. Find x, given that -24*x - g*x**5 - 8 - 600*x**4 + 196*x**2 + 491*x**5 + 94*x**3 - r = 0.
-2/5, -2/7, 2/5, 1
Solve -148/3*f**2 + 656 - 2/3*f**4 + 166/3*f**3 - 1336/3*f = 0.
-3, 2, 82
Let a = -6 - -11. Let y = -1089 - -1092. Solve 4*p**2 + 15*p - 14*p**2 - 10*p**4 - a - 5*p**5 - 10*p**y + 13*p**4 + 12*p**4 = 0.
-1, 1
Let q be 9394/(-154) - 187/(-3). What is k in 7*k**3 + 0 + q*k**5 + 3*k**2 + 16/3*k**4 + 0*k = 0?
-3/2, -1, 0
Factor 11414642/15 + 9556/15*h + 2/15*h**2.
2*(h + 2389)**2/15
Let o be 1/(2*3/12). Factor 8200 - 4208 - 6*l**o + 5688 + 6*l**2 + 5*l**2 + 440*l.
5*(l + 44)**2
Let n = 264 - -103. Factor 5616*z**2 + n*z**4 - 364*z**4 - 252*z**3 - 324*z**2.
3*z**2*(z - 42)**2
Find h such that h**5 - 60 - 71 - 157 - 215*h + 11*h**4 + 2888*h**3 - 2874*h**3 - 164*h**2 - 241*h = 0.
-6, -2, -1, 4
Let -11/2*z**2 + 347/2*z - 168 = 0. What is z?
1, 336/11
Factor 21*x + 45*x - 45 - 1433*x**2 + 1412*x**2.
-3*(x - 1)*(7*x - 15)
Factor 1/2 + 141/4*i + 630*i**2 + 1225/4*i**3.
(i + 2)*(35*i + 1)**2/4
Let m be 2162/5865 - 5/((-150)/(-4)). Let i(s) be the first derivative of -m*s - 3/17*s**2 + 1/34*s**4 + 0*s**3 - 3. Factor i(t).
2*(t - 2)*(t + 1)**2/17
Let u(r) = -2*r**3 + 586*r**2 + 2445*r + 1845. Let k(i) = i**3 - 3*i**2. Let h(v) = 3*k(v) - u(v). Factor h(d).
5*(d - 123)*(d + 1)*(d + 3)
Suppose 6*f + 3391 = 4201. Suppose 0 = 100*a - 55*a - f. Suppose -2/5*i**a + 0*i**2 + 1/5*i**4 - 1/5 + 2/5*i = 0. What is i?
-1, 1
Let z(m) be the first derivative of m**5/45 + 149*m**4/36 - 151*m**3/27 - 149*m**2/18 + 50*m/3 - 401. Factor z(h).
(h - 1)**2*(h + 1)*(h + 150)/9
Let o(j) be the third derivative of -j**6/420 - 17*j**5/70 + j**4/84 + 17*j**3/7 + 63*j**2 + 6. Factor o(z).
-2*(z - 1)*(z + 1)*(z + 51)/7
Let v(x) be the first derivative of -2*x**2 - 4/3*x**6 + 0*x - 5 - 4/5*x**5 + 4/3*x**3 + 3*x**4. Determine a, given that v(a) = 0.
-1, 0, 1/2, 1
Let r(m) be the second derivative of 98*m**6/15 - 8008*m**5/5 + 19079*m**4/3 + 25736*m**3/3 + 3864*m**2 - 3732*m. Let r(b) = 0. What is b?
-2/7, 3, 161
Let a = -162/155 + 789/310. Factor -3/2*h**3 - 3/2*h**4 + a*h**5 + 0 + 3/2*h**2 + 0*h.
3*h**2*(h - 1)**2*(h + 1)/2
Let l be 4*21/(-14) + 16. What is h in -33*h**3 - h - 34*h**3 + 61*h**3 + 7*h - 10*h**2 + l = 0?
-5/3, -1, 1
Let u(r) be the first derivative of r**4/12 - 3973*r**3/9 + 3944195*r**2/6 + 3948169*r/3 + 7421. Determine p, given that u(p) = 0.
-1, 1987
Let i = 411 - 383. Let m(n) = n**4 - n**2 + n + 2. Let o(a) = -8*a**5 + 52*a**4 - 152*a**3 + 128*a**2 - 34*a - 28. Let j(f) = i*m(f) + 2*o(f). Solve j(d) = 0.
0, 1/4, 1, 2, 5
Let o(m) be the second derivative of m**9/7560 - m**8/280 - 13*m**7/1260 - 2*m**4/3 + 78*m. Let y(i) be the third derivative of o(i). Solve y(d) = 0 for d.
-1, 0, 13
Suppose -3*h = -722 + 701. Let g be 2/(-16)*-10 - (h - 6). Suppose -1/4*f**5 - f**4 - 2 - g*f**3 + 5/2*f**2 + f = 0. What is f?
-2, 1
Let g be -12 + ((-45)/9 - -20). Factor 0 - 32/3*k**g - 4/3*k**4 + 4/3*k**5 + 16*k**2 + 0*k.
4*k**2*(k - 2)**2*(k + 3)/3
Let b = 16777 + -16775. Factor 0 - 2/3*d**3 - 2/3*d**b + 4*d.
-2*d*(d - 2)*(d + 3)/3
Let s be (-1100)/(-84) + (-57)/(-63) + -1. What is w in 24*w**2 + 32*w**3 - 60*w + 24*w**4 + 3*w**5 + 12*w**3 - 48 + s*w**3 = 0?
-4, -2, -1, 1
Factor -1102*k + 812*k + 244 - 445 - 1235 + 4*k**2 - 1142*k.
4*(k - 359)*(k + 1)
Let j(f) = -f**3 - f**2 + 5*f - 1. Let w be j(-3). Let c(p) = -p - 6. Let s be c(-10). Solve 0*z**3 + 6*z - 9*z**2 + z**3 + s*z**3 - w*z**3 = 0.
0, 1, 2
Let n(l) be the first derivative of 0*l**3 + 3/8*l**4 - 1/24*l**6 + 0*l + 0*l**2 + 1/20*l**5 - 47. Factor n(t).
-t**3*(t - 3)*(t + 2)/4
Let a(c) be the third derivative of 0 + 0*c**6 - 1/48*c**4 + 40*c**2 + 1/840*c**7 + 0*c - 1/80*c**5 + 0*c**3. Let a(h) = 0. What is h?
-1, 0, 2
Let t(w) be the first derivative of 3*w**4/4 - 212*w**3 - 1281*w**2/2 - 642*w - 3593. Factor t(a).
3*(a - 214)*(a + 1)**2
Let z be (472/40 - 12)*3/(-36). Let n(g) be the second derivative of -11/6*g**2 - z*g**5 + 0 - 13/36*g**4 - 23/18*g**3 + 43*g. Factor n(v).
-(v + 1)**2*(v + 11)/3
What is l in 3*l - 1157*l**2 + 320 - 62*l + 1156*l**2 = 0?
-64, 5
Let j(c) be the third derivative of c**6/540 - 8*c**5/45 + 85*c**4/12 - 4046*c**3/27 + 675*c**2 - 3. Let j(w) = 0. Calculate w.
14, 17
Let 156 - 79*u + 1/2*u**2 = 0. Calculate u.
2, 156
Let j be (2 + 21/(-24))*(164 + -156) - 7. Solve -32/9*o - 10/3 - 2/9*o**j = 0 for o.
-15, -1
Let b be (-448)/280*(-1)/((-2)/5)*(-2)/12. Determine d, given that -b*d**2 + 22 + 16/3*d = 0.
-3, 11
Let q(m) be the second derivative of -9*m**5/10 + 80*m**4/9 + 247*m**3/3 + 18*m**2 - m - 1999. Determine g, given that q(g) = 0.
-3, -2/27, 9
Factor -924800/3*x + 1360/3*x**2 - 2/9*x**3 + 628864000/9.
-2*(x - 680)**3/9
Factor 0*s + 16/9*s**2 - 4/9*s**3 + 0.
-4*s**2*(s - 4)/9
Suppose 2185 + 148*w**4 + 1804*w**3 + 6354 + 4*w**5 + 2261 + 8268*w**2 + 15840*w = 0. Calculate w.
-15, -3, -2
Let o = 3/51031 - -102029/561341. Solve -1352/11 - o*j**2 + 104/11*j = 0.
26
Let w(z) be the second derivative of z**6/135 + 17*z**5/30 + 223*z**4/18 + 325*z**3/27 - 1250*z**2/3 + 2886*z. Determine k, given that w(k) = 0.
-25, -3, 2
Suppose 1/4*v**2 + 55/4 + 4*v = 0. What is v?
-11, -5
Factor 302/11*x - 12/11 - 50/11*x**2.
-2*(x - 6)*(25*x - 1)/11
Factor 14080/7 - 172/7*x**3 - 4/7*x**4 - 1472*x + 2448/7*x**2.
-4*(x - 4)**3*(x + 55)/7
Let x = -804/17 + 24137/510. Let k(o) be the first derivative of -1/6*o**3 - 1/6*o**2 + 0*o**4 + 4 + x*o**5 + 0*o. What is p in k(p) = 0?
-1, 0, 2
Let r = 305961/53212 + 2/13303. Let m(y) be the second derivative of 0 - 12*y + r*y**4 + 33/40*y**5 + 6*y**2 + 13*y**3. Factor m(j).
3*(j + 2)**2*(11*j + 2)/2
Let h = 312782/100539 - -2/33513. Find w such that -32/9*w**4 + h*w - 8/3*w**3 + 32/9*w**2 - 4/9*w**5 + 0 = 0.
-7, -1, 0, 1
Let l(r) be the first derivative of 3/8*r**4 - 1/3*r**3 + 0*r**2 - 1/10*r**5 + 0*r - 4. Solve l(q) = 0.
0, 1, 2
Let l(t) be the first derivative of -49/8*t + 17/12*t**3 - 1/48*t**6 - 31/16*t**4 + 63/16*t**2 - 312 + 3/8*t**5. Determine q so that l(q) = 0.
-1, 1, 7
Let p(d) = 2*d**2 + 2. Suppose 378*u - 379*u + 1 = 0. Let z(v) = 27*v**2 - 1620*v + 452. Let o(n) = u*z(n) + 4*p(n). Determine b so that o(b) = 0.
2/7, 46
Factor -434*n - 15*n**2 - 12 - n**3 + 146*n + 4*n**3 + 146*n + 166*n.
3*(n - 2)**2*(n - 1)
Let b(o) be the second derivative of o**5/5 - 11*o**4/3 + 20*o**3 - 7967*o. Factor b(j).
4*j*(j - 6)*(j - 5)
Let y be ((-44660)/174)/77*3/(-45). Let -40/9 - y*u**2 - 8/3*u = 0. What is u?
-10, -2
Let c be (13 - 938/70)*((-34)/10 + 3). Let h(q) be the first derivative of -c*q**5 + 0*q**4 + 2 + 0*q**3 + 0*q**2 + 0*q - 1/15*q**6. Factor h(o).
-2*o**4*(o + 2)/5
Solve 1607*z**3 + 11*z**2 + 96*z**4 + 3 - 3 - 1712*z**3 + 44*z**5 + 6*z = 0 for z.
-3, -2/11, 0, 1/2
Let l(p) be the second derivative of -p**5/3 + 35*p**4/6 - 245*p**3/6 + 34*p**2 + 48*p + 2. Let x(w) be the first derivative of l(w). Solve x(h) = 0 for h.
7/2
Let q(h) be the second derivative of h**7/294 + 2*h**6/21 + 9*h**5/35 - 17*h**4/6 + 283*h**3/42 - 51*h**2/7 - 8*h - 672. Factor q(g).
(g - 1)**3*(g + 