 = 0 for t.
-3, 0, 1
Let p(q) be the first derivative of -q**3 + 31*q**2/2 - 10*q + 67. Let c be p(10). Factor -1/2*b**2 - 1/2*b + c.
-b*(b + 1)/2
Let t be (-6 - -5)/(3/(-144)). Determine c so that -48 + 223*c**5 + 24*c + 12*c - 220*c**5 + t*c**2 - 39*c**3 = 0.
-4, -1, 1, 2
Let n = -647794/3 + 215932. Determine f, given that -n*f**4 + 0 + 4*f**3 + 2/3*f**2 - 4*f = 0.
-1, 0, 1, 6
Let p = -731 + 730. Let v be ((-160)/50 - -3)/p. Factor -2/5*l**2 - v*l + 0 - 1/5*l**3.
-l*(l + 1)**2/5
Let h(g) = -5*g**3 + 2*g**2 - 3. Let m(u) = -146*u**3 - 137*u**2 + 284*u - 7. Let f(j) = -h(j) + m(j). Factor f(q).
-(q - 1)*(q + 2)*(141*q - 2)
Let y(s) be the second derivative of -s**5/20 - 5*s**4/3 + 271*s**3/6 + 145*s**2 + 1641*s. Factor y(o).
-(o - 10)*(o + 1)*(o + 29)
Let n(u) be the second derivative of u**5/20 + 59*u**4/12 + 376*u**3/3 + 1376*u**2 + 100*u - 8. Factor n(v).
(v + 8)**2*(v + 43)
Let l(h) be the first derivative of 1760/3*h**3 + 852*h**5 + 64*h - 53 + 416*h**2 - 150*h**6 - 1504*h**4. What is x in l(x) = 0?
-2/15, 1, 2
Let m = -1734098 + 12138758/7. Determine j, given that 6*j - m - 3/7*j**2 = 0.
2, 12
Let y(w) = -7*w**2 + 361*w - 486. Let h(n) = 2*n**2 - 91*n + 125. Let t(c) = 11*h(c) + 3*y(c). Factor t(q).
(q - 1)*(q + 83)
Let k(a) be the first derivative of 3*a**5/50 - 191*a**4/40 + 109*a**3/5 + 92*a**2/5 - 48*a + 9407. Solve k(t) = 0 for t.
-1, 2/3, 4, 60
Let q = 265 - 258. Suppose -q*a = -63*a. Find m, given that -2/5*m**3 + 18/5*m**2 - 16/5*m + a = 0.
0, 1, 8
Suppose -37*w = -6*w - 62. Let g(l) be the second derivative of -1/80*l**5 + 0*l**w + 1/24*l**3 + 0 + 0*l**4 + 10*l. Factor g(n).
-n*(n - 1)*(n + 1)/4
Determine g, given that -460/3*g - 461/3 + 1/3*g**2 = 0.
-1, 461
Let q = 23 - 25. Let b be q/7 - 32/(-14). Suppose -2*n**b + 3*n + 3*n**2 - 6 + 2*n**2 - 6*n = 0. What is n?
-1, 2
Let m(l) = 4*l. Let n be m(9). Let i be (10/6)/(30/n). Factor 10*d - 3 - 434*d**2 + 3 + 416*d**i - 4*d**3.
-2*d*(d + 5)*(2*d - 1)
Let r = -782497/20 + 39125. Let g(u) be the second derivative of -2*u**4 - 17*u - 13/2*u**3 + 0 - r*u**5 - 9*u**2. What is a in g(a) = 0?
-6, -1
Let o(i) be the first derivative of 8/45*i**3 + 51 - 8/75*i**5 - 1/2*i**4 + 0*i**2 + 0*i. Determine h, given that o(h) = 0.
-4, 0, 1/4
Let m(p) be the first derivative of 11/16*p**4 + 0*p - 128 - 11/8*p**2 + 1/12*p**3 - 1/20*p**5. Suppose m(y) = 0. What is y?
-1, 0, 1, 11
Let t(v) be the second derivative of 529*v**7/147 - 138*v**6/7 - 183*v**5/70 - 2*v**4/21 - 4*v + 459. Determine a, given that t(a) = 0.
-1/23, 0, 4
Suppose k - 2*g + 3 = g, 17*g = -4*k + 46. Suppose 0 + 2/7*f + f**2 + 3/7*f**k = 0. Calculate f.
-2, -1/3, 0
Let i(m) be the third derivative of -m**6/420 - 2*m**5/21 - 32*m**4/21 - 256*m**3/21 - 2*m**2 + 508*m. Factor i(k).
-2*(k + 4)*(k + 8)**2/7
Let b(f) be the second derivative of -f**7/84 - f**6/10 + f**5/40 + 17*f**4/12 + f**3 - 10*f**2 - f - 369. Find a, given that b(a) = 0.
-5, -2, 1, 2
Let h(w) be the third derivative of 0 - 1/15*w**6 - 8/3*w**3 + 0*w - 2/105*w**7 + 62*w**2 + 2/3*w**4 + 1/5*w**5. Let h(z) = 0. Calculate z.
-2, 1
Let g be 1/2 - (171/38 - 4). Let k(p) be the first derivative of -9 - 1/13*p**4 + 1/13*p**2 + 1/39*p**6 + 0*p + g*p**5 + 0*p**3. Find v such that k(v) = 0.
-1, 0, 1
Let d = 11850/11 + -746528/693. Let m(g) be the second derivative of -2/9*g**4 - d*g**7 + 4/45*g**6 - 33*g + 0 + 0*g**2 + 0*g**3 + 1/15*g**5. Solve m(l) = 0.
-1, 0, 1, 2
Let p(l) be the third derivative of l**7/2520 + l**6/180 + l**5/30 + l**4/9 - 14*l**3/3 + 5*l**2 - 4. Let w(n) be the first derivative of p(n). Factor w(u).
(u + 2)**3/3
Let q = 1924 + -1922. Let p(r) be the second derivative of 0 - 16*r + 1/10*r**3 - 1/60*r**4 - 1/5*r**q. Factor p(u).
-(u - 2)*(u - 1)/5
Let o(c) be the first derivative of -c**4/2 - 2*c**3 + 4*c - 2. Let n be o(-3). Factor 5*t**4 + 0*t**n + 6*t**4 - 6*t**4 - 5*t**2.
5*t**2*(t - 1)*(t + 1)
Let d be (-59 - -57)/((-1)/2). Factor 2*b**5 - 3*b**4 - 41*b**d + 213*b**3 + 29*b**3.
2*b**3*(b - 11)**2
Let c(t) be the first derivative of -5*t**4/12 - 7*t**3/6 - t**2 + 42*t + 16. Let y(d) be the first derivative of c(d). Factor y(m).
-(m + 1)*(5*m + 2)
Suppose 28*j**2 - 12*j + 4*j**3 + 168*j - 36*j - 80*j**2 = 0. Calculate j.
0, 3, 10
Suppose -2*p - 10 = -2*r, 0*p + 2*p + 2 = 0. Let d be ((-6)/2 + r)*28/49. Determine g so that 4/7*g**4 + 4/7 - 8/7*g**2 + 2/7*g - d*g**3 + 2/7*g**5 = 0.
-2, -1, 1
Let o be 3/(-1)*(-4)/6. Let h(t) = -t**2 - 19*t + 187. Let r be h(-26). Factor -7*s**2 - s**3 + s**r + s**5 + o*s**4 - s**2 - 7*s**3.
2*s**2*(s - 2)*(s + 1)*(s + 2)
Let u(h) be the third derivative of -h**6/120 - 19*h**5/60 - 43*h**4/12 - 52*h**3/3 + 8649*h**2. Find l, given that u(l) = 0.
-13, -4, -2
Let q = 544 - 547. Let v be (-356)/178*1/2*q. Find h such that 0*h + 0 + 0*h**2 - 5/4*h**4 - 3/4*h**v = 0.
-3/5, 0
Let q(f) be the third derivative of -f**5/20 - 371*f**4/2 - 275282*f**3 - f**2 + 118. Factor q(m).
-3*(m + 742)**2
Let n(z) = -z**2 + 196*z + 728. Let b(t) = -7*t**2 + 1373*t + 5076. Let s(r) = -3*b(r) + 22*n(r). Factor s(p).
-(p - 197)*(p + 4)
Let q(v) be the first derivative of 128 + 24/7*v + 3/4*v**4 + 3/35*v**5 - 3/2*v**2 - 9/7*v**3. Determine w, given that q(w) = 0.
-8, -1, 1
Let 20*h + 5*h**5 - 125/3*h**3 - 10/3*h**4 + 0 + 140/3*h**2 = 0. Calculate h.
-3, -1/3, 0, 2
Let m(f) be the second derivative of 0 - 1/140*f**5 - 1/21*f**4 - 2/21*f**3 + 0*f**2 + 11*f. Factor m(s).
-s*(s + 2)**2/7
Let v(n) = 3*n**5 + 2*n**4 + 17*n**3 - 70*n**2 + 100*n - 40. Let b(z) = 2*z**5 + 4*z. Let i(l) = 6*b(l) - 3*v(l). Solve i(s) = 0.
-5, 1, 2
Let x(h) be the third derivative of h**7/105 - 23*h**6/60 - 79*h**5/30 + 23*h**4/12 + 26*h**3 - 79*h**2 + h - 1. Suppose x(a) = 0. Calculate a.
-3, -1, 1, 26
Find j such that -3/2*j + 9/8*j**3 + 3/8*j**5 + 21*j**2 - 3*j**4 - 18 = 0.
-2, -1, 1, 4, 6
Solve -155 - 188 + 829*r - r**3 + 7*r**2 - 369*r - 411*r = 0 for r.
-7, 7
Determine q, given that 10/3*q**4 - 122/3*q - 38*q**2 - 22/3*q**3 - 40/3 = 0.
-1, -4/5, 5
Let y(b) be the third derivative of -b**8/840 - 149*b**7/525 - 577*b**6/30 - 8213*b**5/75 - 16133*b**4/60 - 5329*b**3/15 - 3*b**2 - 11. Solve y(g) = 0.
-73, -1
Suppose 87 = 15*d + 14*d. Factor -46*p - 12 + 8*p**4 - 5*p**2 + 867*p**5 - 8 + 16*p**d - 15*p**2 - 869*p**5.
-2*(p - 5)*(p - 2)*(p + 1)**3
Suppose -6136/5*l + 3084/5*l**2 - 522/5*l**3 + 2/5*l**4 + 816 = 0. Calculate l.
2, 255
Let r be 1 - (4 + (-9 - -3)). Suppose r*c = 2*l + 2*l + 566, 5*l = -c + 195. Factor 2*x**2 + 0*x**2 + 12 + x**2 - 175*x + c*x.
3*(x + 1)*(x + 4)
Factor 2*l**4 + 2441*l + 2039*l - 3920 - 65*l**3 - 7*l**4 + 140*l**3 + 85*l**3 - 1560*l**2.
-5*(l - 14)**2*(l - 2)**2
Factor 245/2*p - 123 + 1/2*p**2.
(p - 1)*(p + 246)/2
Let t(x) = 27*x - 267. Suppose -2*d + 4 = -4*i - 12, 5 = d - 5*i. Let j be t(d). Solve -10/19*b**j - 16/19*b**2 + 0 - 2/19*b**4 - 8/19*b = 0.
-2, -1, 0
Let t(n) be the second derivative of n**6/60 + 11*n**5/40 + 9*n**4/8 - n**3/3 - 44*n. Let x(l) be the second derivative of t(l). Factor x(c).
3*(c + 1)*(2*c + 9)
Let y(i) be the second derivative of i**5/110 - 2*i**4/33 - 19*i**3/33 - 14*i**2/11 + 7*i - 88. Factor y(t).
2*(t - 7)*(t + 1)*(t + 2)/11
Let u(z) = z**3 + 57*z**2 + 92*z - 159. Let y(v) = -56*v**2 - 92*v + 160. Let j(x) = -4*u(x) - 3*y(x). Suppose j(a) = 0. What is a?
-13, -3, 1
Let s be ((-100)/(-15))/((-4545)/(-2727)). Let 9/7*r**3 - 3/7*r**2 - 3/7*r**s - 9/7*r + 6/7 = 0. Calculate r.
-1, 1, 2
Let r(n) = -3*n**4 - 4*n**3 + 11*n**2 + 4*n - 4. Let b(h) = h**4 + h**3 - h**2 - h - 2. Let p(j) = -2*b(j) - r(j). Solve p(o) = 0.
-4, -1, 1, 2
Let y be 408/(-18) - 16/12. Let m = 26 + y. Factor 34 - 4*r**m - 2*r**2 - 2*r**3 - 15 - 11.
-2*(r - 1)*(r + 2)**2
Suppose -2/7*v**2 - 4/7*v + 48/7 = 0. Calculate v.
-6, 4
Let t(g) be the second derivative of 7*g**6/15 + 11*g**5/15 + g**4/3 - 5*g**2 + 42*g. Let p(d) be the first derivative of t(d). Factor p(v).
4*v*(2*v + 1)*(7*v + 2)
Factor -463/5*r + 186 - 1/5*r**2.
-(r - 2)*(r + 465)/5
Let f(o) be the second derivative of 1/30*o**4 + 125 + 46/15*o**3 - o + 0*o**2. Suppose f(t) = 0. What is t?
-46, 0
Let j(x) be the second derivative of x**6/72 + 79*x**5/36 + 950*x**4/9 - 4000*x**3/9 - 112*x**2 - 229*x. Let f(m) be the first derivative of j(m). Factor f(a).
5*(a - 1)*(a + 40)**2/3
Let j be (1 + (2 -